Details

analyze580.0ms (0.8%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	74.9%	25.1%	0%	0%	0%	0
0%	0%	74.9%	25.1%	0%	0%	0%	1
0%	0%	74.9%	25.1%	0%	0%	0%	2
25%	18.7%	56.2%	25.1%	0%	0%	0%	3
50%	37.5%	37.5%	25.1%	0%	0%	0%	4
56.3%	42.1%	32.8%	25.1%	0%	0%	0%	5
62.5%	46.8%	28.1%	25.1%	0%	0%	0%	6
64.1%	48%	26.9%	25.1%	0%	0%	0%	7
65.6%	49.2%	25.8%	25.1%	0%	0%	0%	8
66%	49.5%	25.5%	25.1%	0%	0%	0%	9
66.4%	49.8%	25.2%	25.1%	0%	0%	0%	10
66.4%	49.8%	25.2%	25.1%	0%	0%	0%	11
66.5%	49.8%	25.1%	25.1%	0%	0%	0%	12

Compiler

Compiled 127 to 112 computations (11.8% saved)

sample56.7s (76.3%)

Results

51.9s	3899×	body	8192	exit
4.7s	8256×	body	256	valid
42.0ms	89×	body	256	infinite
41.0ms	59×	body	256	unsamplable

Bogosity

preprocess48.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

503×	`associate-/r*_binary64`
345×	`associate-/l*_binary64`
337×	`associate-+l+_binary64`
288×	`associate-+r+_binary64`
271×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	156
1	160	147
2	639	119
3	4381	115
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs

(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))

Outputs
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2))) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))

Compiler

Compiled 125 to 111 computations (11.2% saved)

simplify35.0ms (0%)

Algorithm

1×	egg-herbie

Rules

503×	`associate-/r*_binary64`
345×	`associate-/l*_binary64`
337×	`associate-+l+_binary64`
288×	`associate-+r+_binary64`
271×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	61	156
1	160	147
2	639	119
3	4381	115

Stop Event

1×	node limit

Counts

1 → 5

Calls

Call 1

Inputs

(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))

Outputs
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2))) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))

eval18.0ms (0%)

Compiler: Compiled 470 to 383 computations (18.5% saved)

prune18.0ms (0%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Kept	Total
New	5	5
Fresh	1	1
Picked	0	0
Done	0	0
Total	6	6

Error

0.3b

Counts

6 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.7b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
▶	0.5b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2))) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7))))))
▶	1.0b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
▶	0.5b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
▶	0.8b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))

Compiler

Compiled 948 to 806 computations (15% saved)

localize337.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))
✓	1.0b	(.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))
✓	1.0b	(+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))
✓	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 660 to 554 computations (16.1% saved)

series24.0ms (0%)

Counts

4 → 36

Calls

9 calls:

Time	Variable		Point	Expression
15.0ms	z	@	-inf	(.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))
3.0ms	z	@	0	(.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))
2.0ms	z	@	inf	(.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))
1.0ms	z	@	0	(*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))
1.0ms	z	@	inf	(+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))

rewrite88.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

674×	`add-log-exp_binary64`
673×	`log1p-expm1-u_binary64`
673×	`expm1-log1p-u_binary64`
672×	`add-cbrt-cube_binary64`
672×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	183
1	1378	183

Stop Event

1×	node limit

Counts

4 → 37

Calls

Call 1

Inputs
(sqrt.f64 (*.f64 (PI.f64) 2))
(+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))
(.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))
(*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) 2))) (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) 2)))) (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (sqrt.f64 (.f64 (PI.f64) 2))) (sqrt.f64 (sqrt.f64 (.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (PI.f64) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (PI.f64) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (.f64 (PI.f64) 2) (sqrt.f64 (.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (.f64 (PI.f64) 2))))))))
((#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))))) (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))))) (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))))) (sqrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 -3147848041806007/2500000000000 (+.f64 2 (-.f64 1 z))) (.f64 (+.f64 1 (-.f64 1 z)) 7713234287776531/10000000000000)) (.f64 (+.f64 1 (-.f64 1 z)) (+.f64 2 (-.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) 3) (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) 3)) (+.f64 (.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) (-.f64 (.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))) (.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) (.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))))) (-.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))))) (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)))) (.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))) (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) 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7))))))))))))
((#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))) (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)))) (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)))))))))

simplify98.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

532×	`+-commutative_binary64`
304×	`times-frac_binary64`
300×	`fma-def_binary64`
228×	`associate-/r*_binary64`
227×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	316	2951
1	953	2725
2	3946	2475

Stop Event

1×	node limit

Counts

73 → 124

Calls

Call 1

Inputs
-11173853963059511/30000000000000
(-.f64 (*.f64 -5154349522119383/22500000000000 z) 11173853963059511/30000000000000)
(-.f64 (+.f64 (.f64 -5154349522119383/22500000000000 z) (.f64 -69565428553209127/540000000000000 (pow.f64 z 2))) 11173853963059511/30000000000000)
(-.f64 (+.f64 (.f64 -5154349522119383/22500000000000 z) (+.f64 (.f64 -224122754235180443/3240000000000000 (pow.f64 z 3)) (*.f64 -69565428553209127/540000000000000 (pow.f64 z 2)))) 11173853963059511/30000000000000)
(/.f64 4878157879447497/10000000000000 z)
(+.f64 (.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 4878157879447497/10000000000000 (/.f64 1 z)))
(-.f64 (+.f64 (.f64 4878157879447497/10000000000000 (/.f64 1 z)) (.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2)))) (*.f64 19053539921092667/10000000000000 (/.f64 1 (pow.f64 z 3))))
(-.f64 (+.f64 (.f64 4878157879447497/10000000000000 (/.f64 1 z)) (.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (.f64 107526188432174113/10000000000000 (/.f64 1 (pow.f64 z 4))) (.f64 19053539921092667/10000000000000 (/.f64 1 (pow.f64 z 3)))))
(/.f64 4878157879447497/10000000000000 z)
(+.f64 (.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 4878157879447497/10000000000000 (/.f64 1 z)))
(-.f64 (+.f64 (.f64 4878157879447497/10000000000000 (/.f64 1 z)) (.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2)))) (*.f64 19053539921092667/10000000000000 (/.f64 1 (pow.f64 z 3))))
(-.f64 (+.f64 (.f64 4878157879447497/10000000000000 (/.f64 1 z)) (.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (.f64 107526188432174113/10000000000000 (/.f64 1 (pow.f64 z 4))) (.f64 19053539921092667/10000000000000 (/.f64 1 (pow.f64 z 3)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))
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(.f64 9999999999998099/10000000000000000 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))))
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(+.f64 (.f64 9999999999998099/10000000000000000 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (.f64 -611458333333720910362579/25000000000000000000000 (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))) z)) (+.f64 (.f64 -398308844029173303716389/6250000000000000000000 (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))) (pow.f64 z 3))) (.f64 1078390842009938509147167/6250000000000000000000 (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))) (pow.f64 z 2))))))
(.f64 9999999999998099/10000000000000000 (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2)))))
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(*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))
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(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))
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(.f64 1 (sqrt.f64 (.f64 (PI.f64) 2)))
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(.f64 (sqrt.f64 (sqrt.f64 (.f64 (PI.f64) 2))) (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2))
(pow.f64 (*.f64 (PI.f64) 2) 1/2)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 1)
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(cbrt.f64 (.f64 (.f64 (PI.f64) 2) (sqrt.f64 (*.f64 (PI.f64) 2))))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(*.f64 1 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))))
(.f64 (.f64 (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))))) (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))))) (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))))) (sqrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))))))
(/.f64 (+.f64 (.f64 -3147848041806007/2500000000000 (+.f64 2 (-.f64 1 z))) (.f64 (+.f64 1 (-.f64 1 z)) 7713234287776531/10000000000000)) (*.f64 (+.f64 1 (-.f64 1 z)) (+.f64 2 (-.f64 1 z))))
(/.f64 (+.f64 (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) 3) (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) 3)) (+.f64 (.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) (-.f64 (.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))) (*.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))))))
(/.f64 (-.f64 (.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) (.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))))) (-.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))))
(pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))) 1)
(log.f64 (exp.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))))))
(cbrt.f64 (.f64 (.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))))))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))))))
(exp.f64 (log.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))))))
(+.f64 (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))))) (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)))) (.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))) (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)))))
(+.f64 (.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5)))))))) (.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))
(pow.f64 (.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))) (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))) 1)
(log.f64 (exp.f64 (.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))) (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))
(cbrt.f64 (.f64 (.f64 (.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))) (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))) (.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))) (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))) (.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))) (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))
(expm1.f64 (log1p.f64 (.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))) (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))
(log1p.f64 (expm1.f64 (.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))) (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))
(exp.f64 (log.f64 (.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))) (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))
(pow.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))) 1)
(log.f64 (exp.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)))))
(cbrt.f64 (.f64 (.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))) (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)))) (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)))))

Outputs
-11173853963059511/30000000000000
(-.f64 (*.f64 -5154349522119383/22500000000000 z) 11173853963059511/30000000000000)
(fma.f64 -5154349522119383/22500000000000 z -11173853963059511/30000000000000)
(-.f64 (+.f64 (.f64 -5154349522119383/22500000000000 z) (.f64 -69565428553209127/540000000000000 (pow.f64 z 2))) 11173853963059511/30000000000000)
(+.f64 (fma.f64 -5154349522119383/22500000000000 z (.f64 -69565428553209127/540000000000000 (.f64 z z))) -11173853963059511/30000000000000)
(fma.f64 -5154349522119383/22500000000000 z (fma.f64 -69565428553209127/540000000000000 (*.f64 z z) -11173853963059511/30000000000000))
(fma.f64 -5154349522119383/22500000000000 z (fma.f64 z (*.f64 z -69565428553209127/540000000000000) -11173853963059511/30000000000000))
(-.f64 (+.f64 (.f64 -5154349522119383/22500000000000 z) (+.f64 (.f64 -224122754235180443/3240000000000000 (pow.f64 z 3)) (*.f64 -69565428553209127/540000000000000 (pow.f64 z 2)))) 11173853963059511/30000000000000)
(+.f64 (fma.f64 -5154349522119383/22500000000000 z (fma.f64 -224122754235180443/3240000000000000 (pow.f64 z 3) (.f64 -69565428553209127/540000000000000 (.f64 z z)))) -11173853963059511/30000000000000)
(+.f64 (fma.f64 -69565428553209127/540000000000000 (.f64 z z) (.f64 -224122754235180443/3240000000000000 (pow.f64 z 3))) (fma.f64 -5154349522119383/22500000000000 z -11173853963059511/30000000000000))
(+.f64 (fma.f64 -5154349522119383/22500000000000 z -11173853963059511/30000000000000) (.f64 (.f64 z z) (+.f64 -69565428553209127/540000000000000 (*.f64 -224122754235180443/3240000000000000 z))))
(/.f64 4878157879447497/10000000000000 z)
(+.f64 (.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 4878157879447497/10000000000000 (/.f64 1 z)))
(+.f64 (/.f64 2043081471118463/10000000000000 (*.f64 z z)) (/.f64 4878157879447497/10000000000000 z))
(+.f64 (/.f64 (/.f64 2043081471118463/10000000000000 z) z) (/.f64 4878157879447497/10000000000000 z))
(-.f64 (+.f64 (.f64 4878157879447497/10000000000000 (/.f64 1 z)) (.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2)))) (*.f64 19053539921092667/10000000000000 (/.f64 1 (pow.f64 z 3))))
(-.f64 (+.f64 (/.f64 2043081471118463/10000000000000 (*.f64 z z)) (/.f64 4878157879447497/10000000000000 z)) (/.f64 19053539921092667/10000000000000 (pow.f64 z 3)))
(+.f64 (/.f64 (/.f64 2043081471118463/10000000000000 z) z) (+.f64 (/.f64 4878157879447497/10000000000000 z) (/.f64 -19053539921092667/10000000000000 (pow.f64 z 3))))
(-.f64 (+.f64 (.f64 4878157879447497/10000000000000 (/.f64 1 z)) (.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (.f64 107526188432174113/10000000000000 (/.f64 1 (pow.f64 z 4))) (.f64 19053539921092667/10000000000000 (/.f64 1 (pow.f64 z 3)))))
(-.f64 (+.f64 (/.f64 2043081471118463/10000000000000 (*.f64 z z)) (/.f64 4878157879447497/10000000000000 z)) (+.f64 (/.f64 19053539921092667/10000000000000 (pow.f64 z 3)) (/.f64 107526188432174113/10000000000000 (pow.f64 z 4))))
(+.f64 (/.f64 4878157879447497/10000000000000 z) (-.f64 (-.f64 (/.f64 (/.f64 2043081471118463/10000000000000 z) z) (/.f64 107526188432174113/10000000000000 (pow.f64 z 4))) (/.f64 19053539921092667/10000000000000 (pow.f64 z 3))))
(+.f64 (/.f64 4878157879447497/10000000000000 z) (+.f64 (+.f64 (/.f64 (/.f64 2043081471118463/10000000000000 z) z) (/.f64 -107526188432174113/10000000000000 (pow.f64 z 4))) (/.f64 -19053539921092667/10000000000000 (pow.f64 z 3))))
(/.f64 4878157879447497/10000000000000 z)
(+.f64 (.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 4878157879447497/10000000000000 (/.f64 1 z)))
(+.f64 (/.f64 2043081471118463/10000000000000 (*.f64 z z)) (/.f64 4878157879447497/10000000000000 z))
(+.f64 (/.f64 (/.f64 2043081471118463/10000000000000 z) z) (/.f64 4878157879447497/10000000000000 z))
(-.f64 (+.f64 (.f64 4878157879447497/10000000000000 (/.f64 1 z)) (.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2)))) (*.f64 19053539921092667/10000000000000 (/.f64 1 (pow.f64 z 3))))
(-.f64 (+.f64 (/.f64 2043081471118463/10000000000000 (*.f64 z z)) (/.f64 4878157879447497/10000000000000 z)) (/.f64 19053539921092667/10000000000000 (pow.f64 z 3)))
(+.f64 (/.f64 (/.f64 2043081471118463/10000000000000 z) z) (+.f64 (/.f64 4878157879447497/10000000000000 z) (/.f64 -19053539921092667/10000000000000 (pow.f64 z 3))))
(-.f64 (+.f64 (.f64 4878157879447497/10000000000000 (/.f64 1 z)) (.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (.f64 107526188432174113/10000000000000 (/.f64 1 (pow.f64 z 4))) (.f64 19053539921092667/10000000000000 (/.f64 1 (pow.f64 z 3)))))
(-.f64 (+.f64 (/.f64 2043081471118463/10000000000000 (*.f64 z z)) (/.f64 4878157879447497/10000000000000 z)) (+.f64 (/.f64 19053539921092667/10000000000000 (pow.f64 z 3)) (/.f64 107526188432174113/10000000000000 (pow.f64 z 4))))
(+.f64 (/.f64 4878157879447497/10000000000000 z) (-.f64 (-.f64 (/.f64 (/.f64 2043081471118463/10000000000000 z) z) (/.f64 107526188432174113/10000000000000 (pow.f64 z 4))) (/.f64 19053539921092667/10000000000000 (pow.f64 z 3))))
(+.f64 (/.f64 4878157879447497/10000000000000 z) (+.f64 (+.f64 (/.f64 (/.f64 2043081471118463/10000000000000 z) z) (/.f64 -107526188432174113/10000000000000 (pow.f64 z 4))) (/.f64 -19053539921092667/10000000000000 (pow.f64 z 3))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))
(.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2))
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(cbrt.f64 (.f64 (.f64 (.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))) (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))) (.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))) (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))) (.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))) (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))
(.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (.f64 (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 (+.f64 -1 z) -13/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))))
(expm1.f64 (log1p.f64 (.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))) (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))
(.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (.f64 (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 (+.f64 -1 z) -13/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))))
(log1p.f64 (expm1.f64 (.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))) (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))
(.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (.f64 (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 (+.f64 -1 z) -13/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))))
(exp.f64 (log.f64 (.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))) (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))
(.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (.f64 (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 (+.f64 -1 z) -13/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))))
(pow.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))) 1)
(*.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))
(log.f64 (exp.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)))))
(*.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))
(cbrt.f64 (.f64 (.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))) (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)))) (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)))))
(*.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)))))
(*.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)))))
(*.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))
(exp.f64 (log.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)))))
(*.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))

localize240.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))
✓	1.0b	(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
✓	1.1b	(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))

Compiler

Compiled 506 to 386 computations (23.7% saved)

series5.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	z	@	0	(+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))
1.0ms	z	@	inf	(+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))
1.0ms	z	@	-inf	(+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))
0.0ms	z	@	inf	(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))
0.0ms	z	@	inf	(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))

rewrite80.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

518×	`add-sqr-sqrt_binary64`
495×	`add-cbrt-cube_binary64`
494×	`add-exp-log_binary64`
494×	`add-log-exp_binary64`
494×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	93
1	1012	93

Stop Event

1×	node limit

Counts

3 → 34

Calls

Call 1

Inputs
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))
(+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))

Inputs

(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))

(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))

(+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))

Outputs
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Outputs

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simplify73.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

613×	`associate-+l+_binary64`
469×	`associate-+r+_binary64`
338×	`*-commutative_binary64`
252×	`associate--r+_binary64`
198×	`associate-*r/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	227	2075
1	661	1976
2	2783	1817

Stop Event

1×	node limit

Counts

70 → 121

Calls

Call 1

Inputs
469507597606837/10000000000000
(+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))
(+.f64 (.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 z)))
(+.f64 (.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 (.f64 23912966683069397/40000000000000 (pow.f64 z 3)) (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))))
(/.f64 5826188486005177/10000000000000 z)
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3)))))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 93965933656573373/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))))))
(/.f64 5826188486005177/10000000000000 z)
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3)))))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 93965933656573373/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))))))
646366562873259793/3000000000000000
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(/.f64 -121443148578839881/200000000000000 z)
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(/.f64 -121443148578839881/200000000000000 z)
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(neg.f64 (+.f64 (.f64 443431544818219937/40000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 66801875443113257/40000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 121443148578839881/200000000000000 (/.f64 1 z)) (.f64 177150158974872037/40000000000000 (/.f64 1 (pow.f64 z 3)))))))
904816194325545171523082059/4200000000000000000000000
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(/.f64 -15176929548346663410362579/25000000000000000000000 z)
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(/.f64 -15176929548346663410362579/25000000000000000000000 z)
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(/.f64 (+.f64 (.f64 6765203681218851/10000000000000 (-.f64 2 z)) (.f64 (-.f64 1 z) -3147848041806007/2500000000000)) (*.f64 (-.f64 1 z) (-.f64 2 z)))
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(/.f64 (-.f64 (.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 1)
(log.f64 (exp.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))
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(expm1.f64 (log1p.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))
(exp.f64 (log.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))
(*.f64 1 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))
(.f64 (.f64 (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (sqrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))
(/.f64 (+.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 3) (pow.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) 3)) (+.f64 (.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (-.f64 (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (*.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))
(/.f64 (-.f64 (.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (-.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))
(pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) 1)
(log.f64 (exp.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))
(cbrt.f64 (.f64 (.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))
(exp.f64 (log.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))
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(/.f64 (-.f64 (.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (-.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
(pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) 1)
(log.f64 (exp.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(cbrt.f64 (.f64 (.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(exp.f64 (log.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))

Outputs
469507597606837/10000000000000
(+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))
(fma.f64 904338909853211/2500000000000 z 469507597606837/10000000000000)
(+.f64 (.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 z)))
(fma.f64 2076511864126339/4000000000000 (.f64 z z) (+.f64 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 z)))
(fma.f64 2076511864126339/4000000000000 (*.f64 z z) (fma.f64 904338909853211/2500000000000 z 469507597606837/10000000000000))
(+.f64 (.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 (.f64 23912966683069397/40000000000000 (pow.f64 z 3)) (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))))
(fma.f64 2076511864126339/4000000000000 (.f64 z z) (fma.f64 23912966683069397/40000000000000 (pow.f64 z 3) (+.f64 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 z))))
(fma.f64 2076511864126339/4000000000000 (*.f64 z z) (fma.f64 23912966683069397/40000000000000 (pow.f64 z 3) (fma.f64 904338909853211/2500000000000 z 469507597606837/10000000000000)))
(/.f64 5826188486005177/10000000000000 z)
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (/.f64 5826188486005177/10000000000000 z))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3)))))
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(/.f64 5826188486005177/10000000000000 z)
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(+.f64 (+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (/.f64 5826188486005177/10000000000000 z)) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)))
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(+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (+.f64 (/.f64 5826188486005177/10000000000000 z) (+.f64 (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)) (/.f64 93965933656573373/10000000000000 (pow.f64 z 4)))))
646366562873259793/3000000000000000
(+.f64 646366562873259793/3000000000000000 (*.f64 6764801184542762983/90000000000000000 z))
(+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000))
(fma.f64 z 6764801184542762983/90000000000000000 646366562873259793/3000000000000000)
(+.f64 (.f64 139903109899614281171/5400000000000000000 (pow.f64 z 2)) (+.f64 646366562873259793/3000000000000000 (.f64 6764801184542762983/90000000000000000 z)))
(fma.f64 139903109899614281171/5400000000000000000 (.f64 z z) (+.f64 646366562873259793/3000000000000000 (.f64 z 6764801184542762983/90000000000000000)))
(fma.f64 (*.f64 z z) 139903109899614281171/5400000000000000000 (fma.f64 z 6764801184542762983/90000000000000000 646366562873259793/3000000000000000))
(+.f64 (.f64 139903109899614281171/5400000000000000000 (pow.f64 z 2)) (+.f64 646366562873259793/3000000000000000 (+.f64 (.f64 6764801184542762983/90000000000000000 z) (*.f64 2868249125582949494677/324000000000000000000 (pow.f64 z 3)))))
(fma.f64 139903109899614281171/5400000000000000000 (.f64 z z) (+.f64 646366562873259793/3000000000000000 (fma.f64 6764801184542762983/90000000000000000 z (.f64 (pow.f64 z 3) 2868249125582949494677/324000000000000000000))))
(+.f64 (fma.f64 (.f64 z z) 139903109899614281171/5400000000000000000 (fma.f64 z 6764801184542762983/90000000000000000 646366562873259793/3000000000000000)) (.f64 (pow.f64 z 3) 2868249125582949494677/324000000000000000000))
(+.f64 (fma.f64 z 6764801184542762983/90000000000000000 646366562873259793/3000000000000000) (.f64 (.f64 z z) (+.f64 (*.f64 z 2868249125582949494677/324000000000000000000) 139903109899614281171/5400000000000000000)))
(/.f64 -121443148578839881/200000000000000 z)
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(neg.f64 (+.f64 (.f64 443431544818219937/40000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 66801875443113257/40000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 121443148578839881/200000000000000 (/.f64 1 z)) (.f64 177150158974872037/40000000000000 (/.f64 1 (pow.f64 z 3)))))))
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(/.f64 -121443148578839881/200000000000000 z)
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(-.f64 (+.f64 (/.f64 -66801875443113257/40000000000000 (*.f64 z z)) (/.f64 -121443148578839881/200000000000000 z)) (/.f64 177150158974872037/40000000000000 (pow.f64 z 3)))
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904816194325545171523082059/4200000000000000000000000
(+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 17677775146260978562117317613/235200000000000000000000000 z))
(+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 z 17677775146260978562117317613/235200000000000000000000000))
(fma.f64 z 17677775146260978562117317613/235200000000000000000000000 904816194325545171523082059/4200000000000000000000000)
(+.f64 904816194325545171523082059/4200000000000000000000000 (+.f64 (.f64 17677775146260978562117317613/235200000000000000000000000 z) (.f64 3071077024184708161128044520019/118540800000000000000000000000 (pow.f64 z 2))))
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(+.f64 904816194325545171523082059/4200000000000000000000000 (fma.f64 z 17677775146260978562117317613/235200000000000000000000000 (.f64 z (.f64 z 3071077024184708161128044520019/118540800000000000000000000000))))
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(/.f64 -15176929548346663410362579/25000000000000000000000 z)
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(/.f64 -15176929548346663410362579/25000000000000000000000 z)
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(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
(exp.f64 (log.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))

localize270.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))
	1.0b	(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))
✓	1.0b	(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 479 to 366 computations (23.6% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	z	@	0	(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))
0.0ms	z	@	0	(*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))
0.0ms	z	@	inf	(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))
0.0ms	z	@	-inf	(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))
0.0ms	z	@	-inf	(*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))

rewrite62.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

478×	`add-sqr-sqrt_binary64`
456×	`add-log-exp_binary64`
455×	`log1p-expm1-u_binary64`
455×	`expm1-log1p-u_binary64`
454×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	68
1	940	68

Stop Event

1×	node limit

Counts

2 → 17

Calls

Call 1

Inputs

(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))

(*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))) (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))) (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))) (sqrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 3) (pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) 3)) (+.f64 (*.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (-.f64 (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (*.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))) (-.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))))))))

((#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))))))))

simplify69.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

753×	`fma-def_binary64`
606×	`associate-+l+_binary64`
561×	`associate-+r+_binary64`
338×	`fma-neg_binary64`
307×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	165	1408
1	484	1360
2	1956	1232
3	7846	1232

Stop Event

1×	node limit

Counts

41 → 66

Calls

Call 1

Inputs
7902188421553103227/30000000000000000
(+.f64 7902188421553103227/30000000000000000 (*.f64 39321001939258358983/90000000000000000 z))
(+.f64 7902188421553103227/30000000000000000 (+.f64 (.f64 2943194126470171931171/5400000000000000000 (pow.f64 z 2)) (.f64 39321001939258358983/90000000000000000 z)))
(+.f64 7902188421553103227/30000000000000000 (+.f64 (.f64 196563279258445065194677/324000000000000000000 (pow.f64 z 3)) (+.f64 (.f64 2943194126470171931171/5400000000000000000 (pow.f64 z 2)) (*.f64 39321001939258358983/90000000000000000 z))))
9999999999998099/10000000000000000
(-.f64 9999999999998099/10000000000000000 (*.f64 4919378858736341/200000000000000 (/.f64 1 z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (.f64 6868447169803563/40000000000000 (/.f64 1 (pow.f64 z 2)))) (.f64 4919378858736341/200000000000000 (/.f64 1 z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (.f64 6868447169803563/40000000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (.f64 2748699024162993/40000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 4919378858736341/200000000000000 (/.f64 1 z))))
9999999999998099/10000000000000000
(-.f64 9999999999998099/10000000000000000 (*.f64 4919378858736341/200000000000000 (/.f64 1 z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (.f64 6868447169803563/40000000000000 (/.f64 1 (pow.f64 z 2)))) (.f64 4919378858736341/200000000000000 (/.f64 1 z)))
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(*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))
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(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))
(.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))
(.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))
(.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))
(.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))
(*.f64 1 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))
(.f64 (.f64 (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))) (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))) (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))) (sqrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))))
(/.f64 (+.f64 (pow.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 3) (pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) 3)) (+.f64 (.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (-.f64 (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (*.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))))
(/.f64 (-.f64 (.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))) (-.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))
(pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) 1)
(log.f64 (exp.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))))
(cbrt.f64 (.f64 (.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))))
(exp.f64 (log.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))))
(pow.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) 1)
(log.f64 (exp.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))))
(cbrt.f64 (.f64 (.f64 (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))))
(exp.f64 (log.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))))

Outputs
7902188421553103227/30000000000000000
(+.f64 7902188421553103227/30000000000000000 (*.f64 39321001939258358983/90000000000000000 z))
(fma.f64 39321001939258358983/90000000000000000 z 7902188421553103227/30000000000000000)
(+.f64 7902188421553103227/30000000000000000 (+.f64 (.f64 2943194126470171931171/5400000000000000000 (pow.f64 z 2)) (.f64 39321001939258358983/90000000000000000 z)))
(+.f64 7902188421553103227/30000000000000000 (fma.f64 2943194126470171931171/5400000000000000000 (.f64 z z) (.f64 39321001939258358983/90000000000000000 z)))
(+.f64 (fma.f64 39321001939258358983/90000000000000000 z 7902188421553103227/30000000000000000) (.f64 2943194126470171931171/5400000000000000000 (.f64 z z)))
(fma.f64 39321001939258358983/90000000000000000 z (fma.f64 z (*.f64 z 2943194126470171931171/5400000000000000000) 7902188421553103227/30000000000000000))
(+.f64 7902188421553103227/30000000000000000 (+.f64 (.f64 196563279258445065194677/324000000000000000000 (pow.f64 z 3)) (+.f64 (.f64 2943194126470171931171/5400000000000000000 (pow.f64 z 2)) (*.f64 39321001939258358983/90000000000000000 z))))
(+.f64 7902188421553103227/30000000000000000 (fma.f64 196563279258445065194677/324000000000000000000 (pow.f64 z 3) (fma.f64 2943194126470171931171/5400000000000000000 (.f64 z z) (.f64 39321001939258358983/90000000000000000 z))))
(+.f64 (fma.f64 196563279258445065194677/324000000000000000000 (pow.f64 z 3) (.f64 2943194126470171931171/5400000000000000000 (.f64 z z))) (fma.f64 39321001939258358983/90000000000000000 z 7902188421553103227/30000000000000000))
(fma.f64 196563279258445065194677/324000000000000000000 (pow.f64 z 3) (fma.f64 39321001939258358983/90000000000000000 z (fma.f64 z (*.f64 z 2943194126470171931171/5400000000000000000) 7902188421553103227/30000000000000000)))
9999999999998099/10000000000000000
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9999999999998099/10000000000000000
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(*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))
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(fma.f64 (exp.f64 -15/2) (sqrt.f64 15/2) (.f64 z (.f64 (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
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(.f64 (+.f64 (.f64 z (fma.f64 -1 (log.f64 15/2) 14/15)) 1) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))
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(/.f64 (-.f64 (.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))) (-.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))
(/.f64 (-.f64 (.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))) (-.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))))
(/.f64 (-.f64 (/.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (-.f64 2 z)) (-.f64 2 z)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))))) (-.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))))))
(/.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 1)
(pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) 1)
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(log.f64 (exp.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))))
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(cbrt.f64 (.f64 (.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))))
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))))
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))))
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(exp.f64 (log.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))))
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(pow.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) 1)
(*.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))
(log.f64 (exp.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))))
(*.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))
(cbrt.f64 (.f64 (.f64 (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))))
(*.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))))
(*.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))))
(*.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))
(exp.f64 (log.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))))
(*.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))

localize283.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
✓	2.7b	(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1)))
✓	5.8b	(+.f64 (-.f64 1 z) -1)

Compiler

Compiled 656 to 554 computations (15.5% saved)

series4.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	z	@	-inf	(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))
0.0ms	z	@	-inf	(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1)))
0.0ms	z	@	inf	(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))
0.0ms	z	@	inf	(+.f64 (-.f64 1 z) -1)
0.0ms	z	@	0	(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1)))

rewrite82.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

302×	`add-sqr-sqrt_binary64`
288×	`add-cbrt-cube_binary64`
287×	`add-exp-log_binary64`
287×	`add-log-exp_binary64`
286×	`add-cube-cbrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	51
1	624	51

Stop Event

1×	node limit

Counts

3 → 140

Calls

Call 1

Inputs

(+.f64 (-.f64 1 z) -1)

(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1)))

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Outputs

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simplify249.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

661×	`times-frac_binary64`
363×	`distribute-rgt-in_binary64`
343×	`distribute-lft-in_binary64`
254×	`div-sub_binary64`
242×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	533	5157
1	1556	4266
2	5629	4230

Stop Event

1×	node limit

Counts

176 → 255

Calls

Call 1

Inputs
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
479507597606835099/10000000000000000
(+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z))
(+.f64 (.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 479507597606835099/10000000000000000 (.f64 904338909853211/2500000000000 z)))
(+.f64 (.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 (.f64 23912966683069397/40000000000000 (pow.f64 z 3)) (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z))))
9999999999998099/10000000000000000
(+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (.f64 5826188486005177/10000000000000 (/.f64 1 z))))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))))))
9999999999998099/10000000000000000
(+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (.f64 5826188486005177/10000000000000 (/.f64 1 z))))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))))))
12777243138120953/60000000000000
(+.f64 12777243138120953/60000000000000 (*.f64 53758197989915921/720000000000000 z))
(+.f64 12777243138120953/60000000000000 (+.f64 (.f64 222980468271960011/8640000000000000 (pow.f64 z 2)) (.f64 53758197989915921/720000000000000 z)))
(+.f64 12777243138120953/60000000000000 (+.f64 (.f64 36630596080989161/4147200000000000 (pow.f64 z 3)) (+.f64 (.f64 222980468271960011/8640000000000000 (pow.f64 z 2)) (*.f64 53758197989915921/720000000000000 z))))
(/.f64 -47576671969241/80000000000 z)
(neg.f64 (+.f64 (.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 47576671969241/80000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 47576671969241/80000000000 (/.f64 1 z)) (*.f64 41160703924046283/10000000000000 (/.f64 1 (pow.f64 z 3))))))
(neg.f64 (+.f64 (.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 95223707106196353/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 47576671969241/80000000000 (/.f64 1 z)) (.f64 41160703924046283/10000000000000 (/.f64 1 (pow.f64 z 3)))))))
(/.f64 -47576671969241/80000000000 z)
(neg.f64 (+.f64 (.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 47576671969241/80000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 47576671969241/80000000000 (/.f64 1 z)) (*.f64 41160703924046283/10000000000000 (/.f64 1 (pow.f64 z 3))))))
(neg.f64 (+.f64 (.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 95223707106196353/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 47576671969241/80000000000 (/.f64 1 z)) (.f64 41160703924046283/10000000000000 (/.f64 1 (pow.f64 z 3)))))))
(-.f64 1 (+.f64 z 1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (-.f64 1 z) -1))) 1)
(-.f64 (/.f64 (pow.f64 (-.f64 1 z) 2) (+.f64 (-.f64 1 z) 1)) (/.f64 1 (+.f64 (-.f64 1 z) 1)))
(*.f64 1 (+.f64 (-.f64 1 z) -1))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (-.f64 1 z) -1)) 2) (cbrt.f64 (+.f64 (-.f64 1 z) -1)))
(*.f64 (sqrt.f64 (+.f64 (-.f64 1 z) -1)) (sqrt.f64 (+.f64 (-.f64 1 z) -1)))
(.f64 (+.f64 (pow.f64 (-.f64 1 z) 3) -1) (/.f64 1 (+.f64 (pow.f64 (-.f64 1 z) 2) (-.f64 1 (.f64 (-.f64 1 z) -1)))))
(*.f64 (+.f64 (pow.f64 (-.f64 1 z) 2) -1) (/.f64 1 (+.f64 (-.f64 1 z) 1)))
(*.f64 (+.f64 (sqrt.f64 (-.f64 1 z)) 1) (-.f64 (sqrt.f64 (-.f64 1 z)) 1))
(.f64 (/.f64 (+.f64 (pow.f64 (-.f64 1 z) 2) -1) (+.f64 (pow.f64 (-.f64 1 z) 3) 1)) (+.f64 (pow.f64 (-.f64 1 z) 2) (+.f64 1 (.f64 (-.f64 1 z) -1))))
(*.f64 (/.f64 (+.f64 (pow.f64 (-.f64 1 z) 2) -1) (+.f64 (pow.f64 (-.f64 1 z) 2) -1)) (+.f64 (-.f64 1 z) -1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (-.f64 1 z) 2) (-.f64 1 (*.f64 (-.f64 1 z) -1))) (+.f64 (pow.f64 (-.f64 1 z) 3) -1)))
(/.f64 1 (/.f64 (+.f64 (-.f64 1 z) 1) (+.f64 (pow.f64 (-.f64 1 z) 2) -1)))
(/.f64 (+.f64 (pow.f64 (-.f64 1 z) 3) -1) (+.f64 (pow.f64 (-.f64 1 z) 2) (-.f64 1 (*.f64 (-.f64 1 z) -1))))
(/.f64 (+.f64 (pow.f64 (-.f64 1 z) 2) -1) (+.f64 (-.f64 1 z) 1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 1 z) 3) -1)) (neg.f64 (+.f64 (pow.f64 (-.f64 1 z) 2) (-.f64 1 (*.f64 (-.f64 1 z) -1)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 1 z) 2) -1)) (+.f64 (neg.f64 (-.f64 1 z)) -1))
(/.f64 (-.f64 1 (pow.f64 (+.f64 z 1) 3)) (+.f64 1 (+.f64 (*.f64 (+.f64 z 1) (+.f64 z 1)) (+.f64 z 1))))
(/.f64 (+.f64 -1 (pow.f64 (-.f64 1 z) 3)) (+.f64 1 (-.f64 (pow.f64 (-.f64 1 z) 2) (neg.f64 (-.f64 1 z)))))
(/.f64 (-.f64 1 (*.f64 (+.f64 z 1) (+.f64 z 1))) (+.f64 1 (+.f64 z 1)))
(/.f64 (-.f64 1 (pow.f64 (-.f64 1 z) 2)) (-.f64 -1 (-.f64 1 z)))
(pow.f64 (+.f64 (-.f64 1 z) -1) 1)
(pow.f64 (pow.f64 (+.f64 (-.f64 1 z) -1) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 (-.f64 1 z) -1)) 3)
(pow.f64 (sqrt.f64 (+.f64 (-.f64 1 z) -1)) 2)
(sqrt.f64 (pow.f64 (+.f64 (-.f64 1 z) -1) 2))
(log.f64 (exp.f64 (+.f64 (-.f64 1 z) -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (-.f64 1 z) -1))))
(cbrt.f64 (pow.f64 (+.f64 (-.f64 1 z) -1) 3))
(expm1.f64 (log1p.f64 (+.f64 (-.f64 1 z) -1)))
(log1p.f64 (expm1.f64 (+.f64 (-.f64 1 z) -1)))
(exp.f64 (log.f64 (+.f64 (-.f64 1 z) -1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (-.f64 1 z) -1)) 1))
(fma.f64 1 (-.f64 1 z) -1)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 z)) 2) (cbrt.f64 (-.f64 1 z)) -1)
(fma.f64 (sqrt.f64 (-.f64 1 z)) (sqrt.f64 (-.f64 1 z)) -1)
(-.f64 (exp.f64 (log1p.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))))) 1)
(-.f64 (/.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 2) (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))) (/.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (+.f64 (-.f64 1 z) 1) 2)) (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))))
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(*.f64 (sqrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))) (sqrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))
(.f64 (fma.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 3) (.f64 (+.f64 (-.f64 1 z) 2) -883075145810703/5000000000000)) (/.f64 1 (*.f64 (+.f64 (-.f64 1 z) 2) (+.f64 (-.f64 1 z) 3))))
(.f64 (+.f64 (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (+.f64 (-.f64 1 z) 2) 3)) (/.f64 -688641173045047177036613100428008022090298927/125000000000000000000000000000000000000 (pow.f64 (+.f64 (-.f64 1 z) 3) 3))) (/.f64 1 (+.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (+.f64 (-.f64 1 z) 2) 2)) (-.f64 (/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (+.f64 (-.f64 1 z) 3) 2)) (/.f64 -6811365493350374017225292011293/50000000000000000000000000 (.f64 (+.f64 (-.f64 1 z) 2) (+.f64 (-.f64 1 z) 3)))))))
(*.f64 (-.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (+.f64 (-.f64 1 z) 2) 2)) (/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (+.f64 (-.f64 1 z) 3) 2))) (/.f64 1 (-.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))
(/.f64 1 (/.f64 (.f64 (+.f64 (-.f64 1 z) 2) (+.f64 (-.f64 1 z) 3)) (fma.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 3) (.f64 (+.f64 (-.f64 1 z) 2) -883075145810703/5000000000000))))
(/.f64 1 (/.f64 (+.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (+.f64 (-.f64 1 z) 2) 2)) (-.f64 (/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (+.f64 (-.f64 1 z) 3) 2)) (/.f64 -6811365493350374017225292011293/50000000000000000000000000 (*.f64 (+.f64 (-.f64 1 z) 2) (+.f64 (-.f64 1 z) 3))))) (+.f64 (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (+.f64 (-.f64 1 z) 2) 3)) (/.f64 -688641173045047177036613100428008022090298927/125000000000000000000000000000000000000 (pow.f64 (+.f64 (-.f64 1 z) 3) 3)))))
(/.f64 1 (/.f64 (-.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) (-.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (+.f64 (-.f64 1 z) 2) 2)) (/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (+.f64 (-.f64 1 z) 3) 2)))))
(/.f64 (fma.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 3) (.f64 (+.f64 (-.f64 1 z) 2) -883075145810703/5000000000000)) (.f64 (+.f64 (-.f64 1 z) 2) (+.f64 (-.f64 1 z) 3)))
(/.f64 (+.f64 (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (+.f64 (-.f64 1 z) 2) 3)) (/.f64 -688641173045047177036613100428008022090298927/125000000000000000000000000000000000000 (pow.f64 (+.f64 (-.f64 1 z) 3) 3))) (+.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (+.f64 (-.f64 1 z) 2) 2)) (-.f64 (/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (+.f64 (-.f64 1 z) 3) 2)) (/.f64 -6811365493350374017225292011293/50000000000000000000000000 (*.f64 (+.f64 (-.f64 1 z) 2) (+.f64 (-.f64 1 z) 3))))))
(/.f64 (-.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (+.f64 (-.f64 1 z) 2) 2)) (/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (+.f64 (-.f64 1 z) 3) 2))) (-.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))
(/.f64 (neg.f64 (fma.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 3) (.f64 (+.f64 (-.f64 1 z) 2) -883075145810703/5000000000000))) (neg.f64 (.f64 (+.f64 (-.f64 1 z) 2) (+.f64 (-.f64 1 z) 3))))
(/.f64 (neg.f64 (+.f64 (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (+.f64 (-.f64 1 z) 2) 3)) (/.f64 -688641173045047177036613100428008022090298927/125000000000000000000000000000000000000 (pow.f64 (+.f64 (-.f64 1 z) 3) 3)))) (neg.f64 (+.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (+.f64 (-.f64 1 z) 2) 2)) (-.f64 (/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (+.f64 (-.f64 1 z) 3) 2)) (/.f64 -6811365493350374017225292011293/50000000000000000000000000 (*.f64 (+.f64 (-.f64 1 z) 2) (+.f64 (-.f64 1 z) 3)))))))
(/.f64 (neg.f64 (-.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (+.f64 (-.f64 1 z) 2) 2)) (/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (+.f64 (-.f64 1 z) 3) 2)))) (neg.f64 (-.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))
(/.f64 (+.f64 (-.f64 -5000000000000/883075145810703 (/.f64 (+.f64 z -3) -883075145810703/5000000000000)) (.f64 (-.f64 10000000000000/7713234287776531 (/.f64 (+.f64 z -2) 7713234287776531/10000000000000)) 1)) (.f64 (-.f64 10000000000000/7713234287776531 (/.f64 (+.f64 z -2) 7713234287776531/10000000000000)) (-.f64 -5000000000000/883075145810703 (/.f64 (+.f64 z -3) -883075145810703/5000000000000))))
(/.f64 (+.f64 (.f64 7713234287776531/10000000000000 (-.f64 -5000000000000/883075145810703 (/.f64 (+.f64 z -3) -883075145810703/5000000000000))) (.f64 (+.f64 (-.f64 1 z) 2) 1)) (*.f64 (+.f64 (-.f64 1 z) 2) (-.f64 -5000000000000/883075145810703 (/.f64 (+.f64 z -3) -883075145810703/5000000000000))))
(/.f64 (+.f64 (.f64 -7713234287776531/10000000000000 (-.f64 -5000000000000/883075145810703 (/.f64 (+.f64 z -3) -883075145810703/5000000000000))) (.f64 (+.f64 (neg.f64 (-.f64 1 z)) -2) 1)) (*.f64 (+.f64 (neg.f64 (-.f64 1 z)) -2) (-.f64 -5000000000000/883075145810703 (/.f64 (+.f64 z -3) -883075145810703/5000000000000))))
(/.f64 (+.f64 (+.f64 (-.f64 1 z) 3) (.f64 (-.f64 10000000000000/7713234287776531 (/.f64 (+.f64 z -2) 7713234287776531/10000000000000)) -883075145810703/5000000000000)) (.f64 (-.f64 10000000000000/7713234287776531 (/.f64 (+.f64 z -2) 7713234287776531/10000000000000)) (+.f64 (-.f64 1 z) 3)))
(/.f64 (+.f64 (.f64 -7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 3)) (.f64 (+.f64 (neg.f64 (-.f64 1 z)) -2) -883075145810703/5000000000000)) (*.f64 (+.f64 (neg.f64 (-.f64 1 z)) -2) (+.f64 (-.f64 1 z) 3)))
(/.f64 (+.f64 (+.f64 (neg.f64 (-.f64 1 z)) -3) (.f64 (-.f64 10000000000000/7713234287776531 (/.f64 (+.f64 z -2) 7713234287776531/10000000000000)) 883075145810703/5000000000000)) (.f64 (-.f64 10000000000000/7713234287776531 (/.f64 (+.f64 z -2) 7713234287776531/10000000000000)) (+.f64 (neg.f64 (-.f64 1 z)) -3)))
(/.f64 (+.f64 (.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 (-.f64 1 z)) -3)) (.f64 (+.f64 (-.f64 1 z) 2) 883075145810703/5000000000000)) (*.f64 (+.f64 (-.f64 1 z) 2) (+.f64 (neg.f64 (-.f64 1 z)) -3)))
(/.f64 (+.f64 (.f64 -7713234287776531/10000000000000 (+.f64 (neg.f64 (-.f64 1 z)) -3)) (.f64 (+.f64 (neg.f64 (-.f64 1 z)) -2) 883075145810703/5000000000000)) (*.f64 (+.f64 (neg.f64 (-.f64 1 z)) -2) (+.f64 (neg.f64 (-.f64 1 z)) -3)))
(/.f64 (+.f64 (-.f64 10000000000000/7713234287776531 (/.f64 (+.f64 z -2) 7713234287776531/10000000000000)) (.f64 (-.f64 -5000000000000/883075145810703 (/.f64 (+.f64 z -3) -883075145810703/5000000000000)) 1)) (.f64 (-.f64 -5000000000000/883075145810703 (/.f64 (+.f64 z -3) -883075145810703/5000000000000)) (-.f64 10000000000000/7713234287776531 (/.f64 (+.f64 z -2) 7713234287776531/10000000000000))))
(/.f64 (+.f64 (.f64 -883075145810703/5000000000000 (-.f64 10000000000000/7713234287776531 (/.f64 (+.f64 z -2) 7713234287776531/10000000000000))) (.f64 (+.f64 (-.f64 1 z) 3) 1)) (*.f64 (+.f64 (-.f64 1 z) 3) (-.f64 10000000000000/7713234287776531 (/.f64 (+.f64 z -2) 7713234287776531/10000000000000))))
(/.f64 (+.f64 (.f64 883075145810703/5000000000000 (-.f64 10000000000000/7713234287776531 (/.f64 (+.f64 z -2) 7713234287776531/10000000000000))) (.f64 (+.f64 (neg.f64 (-.f64 1 z)) -3) 1)) (*.f64 (+.f64 (neg.f64 (-.f64 1 z)) -3) (-.f64 10000000000000/7713234287776531 (/.f64 (+.f64 z -2) 7713234287776531/10000000000000))))
(/.f64 (+.f64 (+.f64 (-.f64 1 z) 2) (.f64 (-.f64 -5000000000000/883075145810703 (/.f64 (+.f64 z -3) -883075145810703/5000000000000)) 7713234287776531/10000000000000)) (.f64 (-.f64 -5000000000000/883075145810703 (/.f64 (+.f64 z -3) -883075145810703/5000000000000)) (+.f64 (-.f64 1 z) 2)))
(/.f64 (+.f64 (.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 2)) (.f64 (+.f64 (-.f64 1 z) 3) 7713234287776531/10000000000000)) (*.f64 (+.f64 (-.f64 1 z) 3) (+.f64 (-.f64 1 z) 2)))
(/.f64 (+.f64 (.f64 883075145810703/5000000000000 (+.f64 (-.f64 1 z) 2)) (.f64 (+.f64 (neg.f64 (-.f64 1 z)) -3) 7713234287776531/10000000000000)) (*.f64 (+.f64 (neg.f64 (-.f64 1 z)) -3) (+.f64 (-.f64 1 z) 2)))
(/.f64 (+.f64 (+.f64 (neg.f64 (-.f64 1 z)) -2) (.f64 (-.f64 -5000000000000/883075145810703 (/.f64 (+.f64 z -3) -883075145810703/5000000000000)) -7713234287776531/10000000000000)) (.f64 (-.f64 -5000000000000/883075145810703 (/.f64 (+.f64 z -3) -883075145810703/5000000000000)) (+.f64 (neg.f64 (-.f64 1 z)) -2)))
(/.f64 (+.f64 (.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 (-.f64 1 z)) -2)) (.f64 (+.f64 (-.f64 1 z) 3) -7713234287776531/10000000000000)) (*.f64 (+.f64 (-.f64 1 z) 3) (+.f64 (neg.f64 (-.f64 1 z)) -2)))
(/.f64 (+.f64 (.f64 883075145810703/5000000000000 (+.f64 (neg.f64 (-.f64 1 z)) -2)) (.f64 (+.f64 (neg.f64 (-.f64 1 z)) -3) -7713234287776531/10000000000000)) (*.f64 (+.f64 (neg.f64 (-.f64 1 z)) -3) (+.f64 (neg.f64 (-.f64 1 z)) -2)))
(/.f64 (+.f64 (/.f64 -688641173045047177036613100428008022090298927/125000000000000000000000000000000000000 (pow.f64 (+.f64 (-.f64 1 z) 3) 3)) (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (+.f64 (-.f64 1 z) 2) 3))) (+.f64 (/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (+.f64 (-.f64 1 z) 3) 2)) (-.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (+.f64 (-.f64 1 z) 2) 2)) (*.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))))
(/.f64 (-.f64 (/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (+.f64 (-.f64 1 z) 3) 2)) (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (+.f64 (-.f64 1 z) 2) 2))) (-.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))
(pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) 1)
(pow.f64 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))) 3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))) 2)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))
(exp.f64 (log.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))) 1))
(fma.f64 1 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))
(fma.f64 1 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))
(fma.f64 7713234287776531/10000000000000 (/.f64 1 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))
(fma.f64 -883075145810703/5000000000000 (/.f64 1 (+.f64 (-.f64 1 z) 3)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) 2) (cbrt.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) 2) (cbrt.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))
(fma.f64 (sqrt.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) (sqrt.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))
(fma.f64 (sqrt.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) (sqrt.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))

Outputs
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
479507597606835099/10000000000000000
(+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z))
(+.f64 479507597606835099/10000000000000000 (*.f64 z 904338909853211/2500000000000))
(fma.f64 z 904338909853211/2500000000000 479507597606835099/10000000000000000)
(+.f64 (.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 479507597606835099/10000000000000000 (.f64 904338909853211/2500000000000 z)))
(fma.f64 2076511864126339/4000000000000 (.f64 z z) (+.f64 479507597606835099/10000000000000000 (.f64 z 904338909853211/2500000000000)))
(fma.f64 2076511864126339/4000000000000 (*.f64 z z) (fma.f64 z 904338909853211/2500000000000 479507597606835099/10000000000000000))
(+.f64 (.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 (.f64 23912966683069397/40000000000000 (pow.f64 z 3)) (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z))))
(fma.f64 2076511864126339/4000000000000 (.f64 z z) (fma.f64 23912966683069397/40000000000000 (pow.f64 z 3) (+.f64 479507597606835099/10000000000000000 (.f64 z 904338909853211/2500000000000))))
(fma.f64 2076511864126339/4000000000000 (*.f64 z z) (fma.f64 23912966683069397/40000000000000 (pow.f64 z 3) (fma.f64 z 904338909853211/2500000000000 479507597606835099/10000000000000000)))
9999999999998099/10000000000000000
(+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(+.f64 9999999999998099/10000000000000000 (/.f64 5826188486005177/10000000000000 z))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (.f64 5826188486005177/10000000000000 (/.f64 1 z))))
(+.f64 (+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) 9999999999998099/10000000000000000) (/.f64 5826188486005177/10000000000000 z))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 3683516130645841/2000000000000 (*.f64 z z))))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))))))
(+.f64 (+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3))))
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 5826188486005177/10000000000000 z)) (+.f64 (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)) (/.f64 3683516130645841/2000000000000 (*.f64 z z))))
9999999999998099/10000000000000000
(+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(+.f64 9999999999998099/10000000000000000 (/.f64 5826188486005177/10000000000000 z))
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(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
(fma.f64 1 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (/.f64 -883075145810703/5000000000000 (-.f64 1 (-.f64 z 3))))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
(fma.f64 7713234287776531/10000000000000 (/.f64 1 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (/.f64 -883075145810703/5000000000000 (-.f64 1 (-.f64 z 3))))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
(fma.f64 -883075145810703/5000000000000 (/.f64 1 (+.f64 (-.f64 1 z) 3)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (/.f64 -883075145810703/5000000000000 (-.f64 1 (-.f64 z 3))))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) 2) (cbrt.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (/.f64 -883075145810703/5000000000000 (-.f64 1 (-.f64 z 3))))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) 2) (cbrt.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (/.f64 -883075145810703/5000000000000 (-.f64 1 (-.f64 z 3))))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
(fma.f64 (sqrt.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) (sqrt.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (/.f64 -883075145810703/5000000000000 (-.f64 1 (-.f64 z 3))))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
(fma.f64 (sqrt.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) (sqrt.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (/.f64 -883075145810703/5000000000000 (-.f64 1 (-.f64 z 3))))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))

localize584.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2))))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
✓	2.7b	(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2)))
✓	5.8b	(-.f64 (-.f64 1 z) 1)

Compiler

Compiled 894 to 784 computations (12.3% saved)

series6.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	z	@	0	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2))))
1.0ms	z	@	inf	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2))))
1.0ms	z	@	inf	(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2)))
1.0ms	z	@	-inf	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2))))
0.0ms	z	@	-inf	(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2)))

rewrite64.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

346×	`add-sqr-sqrt_binary64`
327×	`add-log-exp_binary64`
327×	`pow1_binary64`
326×	`*-un-lft-identity_binary64`
326×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	76
1	685	57

Stop Event

1×	node limit

Counts

3 → 88

Calls

Call 1

Inputs

(-.f64 (-.f64 1 z) 1)

(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2)))

(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 z) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (neg.f64 z)) 2) (cbrt.f64 (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (-.f64 1 z) 2) (+.f64 1 (*.f64 (-.f64 1 z) 1))) (-.f64 (pow.f64 (-.f64 1 z) 3) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (neg.f64 z) 2) (-.f64 (pow.f64 (-.f64 1 z) 2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (-.f64 1 z) 3) 1) (+.f64 (pow.f64 (-.f64 1 z) 2) (+.f64 1 (*.f64 (-.f64 1 z) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (-.f64 1 z) 2) 1) (+.f64 (neg.f64 z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 1 z) 3) 1)) (neg.f64 (+.f64 (pow.f64 (-.f64 1 z) 2) (+.f64 1 (*.f64 (-.f64 1 z) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 1 z) 2) 1)) (neg.f64 (+.f64 (neg.f64 z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (+.f64 z 1) 3)) (+.f64 1 (+.f64 (*.f64 (+.f64 z 1) (+.f64 z 1)) (+.f64 z 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (-.f64 1 z) 3) -1) (+.f64 (pow.f64 (-.f64 1 z) 2) (-.f64 1 (*.f64 (-.f64 1 z) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (neg.f64 z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (neg.f64 z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (neg.f64 z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 z)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (neg.f64 z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (neg.f64 z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (neg.f64 z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 1 z) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 z)) 2) (cbrt.f64 (-.f64 1 z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 1 z)) (sqrt.f64 (-.f64 1 z)) -1)))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 2) (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)))) (/.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (+.f64 (neg.f64 z) 2) 2)) (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 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2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 3) (/.f64 -31191860336727207531769765603776766852501482343/15625000000000000000000000000000000000 (pow.f64 (+.f64 (neg.f64 z) 2) 3))) (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 2) (-.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (+.f64 (neg.f64 z) 2) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 2) (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (+.f64 (neg.f64 z) 2) 2))) (-.f64 (+.f64 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simplify104.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

501×	`unswap-sqr_binary64`
236×	`fma-def_binary64`
214×	`associate-l_binary64`
214×	`times-frac_binary64`
210×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	382	3395
1	1130	3133
2	4272	3086

Stop Event

1×	node limit

Counts

124 → 168

Calls

Call 1

Inputs
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
479507597606835099/10000000000000000
(+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z))
(+.f64 (.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 479507597606835099/10000000000000000 (.f64 904338909853211/2500000000000 z)))
(+.f64 (.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 (.f64 23912966683069397/40000000000000 (pow.f64 z 3)) (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z))))
9999999999998099/10000000000000000
(+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (.f64 5826188486005177/10000000000000 (/.f64 1 z))))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))))))
9999999999998099/10000000000000000
(+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (.f64 5826188486005177/10000000000000 (/.f64 1 z))))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))))))
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(/.f64 (+.f64 (/.f64 -31191860336727207531769765603776766852501482343/15625000000000000000000000000000000000 (pow.f64 (+.f64 (neg.f64 z) 2) 3)) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 3)) (+.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (+.f64 (neg.f64 z) 2) 2)) (-.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 2) (*.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))))
(pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)))) 1)
(pow.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)))) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2))))) 3)
(pow.f64 (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2))))) 2)
(sqrt.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)))) 2))
(log.f64 (exp.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)))))))
(cbrt.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)))) 3))
(expm1.f64 (log1p.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2))))))
(log1p.f64 (expm1.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2))))))
(exp.f64 (log.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2))))))
(exp.f64 (*.f64 (log.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2))))) 1))
(fma.f64 1 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)))
(fma.f64 1 (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))
(fma.f64 -3147848041806007/2500000000000 (/.f64 1 (+.f64 (neg.f64 z) 2)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2))) 2) (cbrt.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) 2) (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)))
(fma.f64 (sqrt.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2))) (sqrt.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))
(fma.f64 (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 (neg.f64 z) 15/2)))))) 1)
(pow.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 (neg.f64 z) 15/2)))) 1)
(pow.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 (neg.f64 z) 15/2)))) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 (neg.f64 z) 15/2))))) 3)
(pow.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 (neg.f64 z) 15/2))))) 2)
(sqrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 (neg.f64 z) 15/2)))) 2))
(log.f64 (pow.f64 (exp.f64 (exp.f64 (+.f64 (neg.f64 z) 15/2))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 (neg.f64 z) 15/2)))))))
(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 (neg.f64 z) 15/2)))) 3))
(cbrt.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) 3) (pow.f64 (exp.f64 (+.f64 (neg.f64 z) 15/2)) 3)))
(cbrt.f64 (.f64 (pow.f64 (exp.f64 (+.f64 (neg.f64 z) 15/2)) 3) (pow.f64 (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) 3)))
(expm1.f64 (log1p.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 (neg.f64 z) 15/2))))))
(log1p.f64 (expm1.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 (neg.f64 z) 15/2))))))
(exp.f64 (+.f64 (+.f64 (neg.f64 z) 15/2) (log.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))))))
(exp.f64 (.f64 (+.f64 (+.f64 (neg.f64 z) 15/2) (log.f64 (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))))) 1))

Outputs
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
479507597606835099/10000000000000000
(+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z))
(+.f64 479507597606835099/10000000000000000 (*.f64 z 904338909853211/2500000000000))
(fma.f64 z 904338909853211/2500000000000 479507597606835099/10000000000000000)
(+.f64 (.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 479507597606835099/10000000000000000 (.f64 904338909853211/2500000000000 z)))
(fma.f64 2076511864126339/4000000000000 (.f64 z z) (+.f64 479507597606835099/10000000000000000 (.f64 z 904338909853211/2500000000000)))
(fma.f64 2076511864126339/4000000000000 (*.f64 z z) (fma.f64 z 904338909853211/2500000000000 479507597606835099/10000000000000000))
(+.f64 (.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 (.f64 23912966683069397/40000000000000 (pow.f64 z 3)) (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z))))
(fma.f64 2076511864126339/4000000000000 (.f64 z z) (fma.f64 23912966683069397/40000000000000 (pow.f64 z 3) (+.f64 479507597606835099/10000000000000000 (.f64 z 904338909853211/2500000000000))))
(fma.f64 2076511864126339/4000000000000 (*.f64 z z) (fma.f64 23912966683069397/40000000000000 (pow.f64 z 3) (fma.f64 z 904338909853211/2500000000000 479507597606835099/10000000000000000)))
9999999999998099/10000000000000000
(+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(+.f64 9999999999998099/10000000000000000 (/.f64 5826188486005177/10000000000000 z))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (.f64 5826188486005177/10000000000000 (/.f64 1 z))))
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 5826188486005177/10000000000000 z)) (/.f64 3683516130645841/2000000000000 (*.f64 z z)))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 3683516130645841/2000000000000 (*.f64 z z))))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))))))
(+.f64 (+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3))))
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 5826188486005177/10000000000000 z)) (+.f64 (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)) (/.f64 3683516130645841/2000000000000 (*.f64 z z))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3))) (/.f64 3683516130645841/2000000000000 (*.f64 z z))))
9999999999998099/10000000000000000
(+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(+.f64 9999999999998099/10000000000000000 (/.f64 5826188486005177/10000000000000 z))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (.f64 5826188486005177/10000000000000 (/.f64 1 z))))
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 5826188486005177/10000000000000 z)) (/.f64 3683516130645841/2000000000000 (*.f64 z z)))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 3683516130645841/2000000000000 (*.f64 z z))))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))))))
(+.f64 (+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3))))
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 5826188486005177/10000000000000 z)) (+.f64 (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)) (/.f64 3683516130645841/2000000000000 (*.f64 z z))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3))) (/.f64 3683516130645841/2000000000000 (*.f64 z z))))
(.f64 (.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)))
(.f64 (sqrt.f64 2) (.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64))))
(.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))
(.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))) (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z)) (sqrt.f64 (PI.f64))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z)))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 2) (+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 z (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (neg.f64 (log.f64 15/2)) 14/15))))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 2) (+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (.f64 z (fma.f64 -1 (log.f64 15/2) 14/15)) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))))
(+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))) (+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z)) (sqrt.f64 (PI.f64))) (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (.f64 1/2 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (pow.f64 z 2))) (sqrt.f64 (PI.f64)))))
(fma.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z) (.f64 (sqrt.f64 2) (.f64 (.f64 z z) (fma.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2))) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1/2))))))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 z (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (neg.f64 (log.f64 15/2)) 14/15))))) (.f64 (sqrt.f64 2) (.f64 (.f64 z z) (.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2) 29/225) (+.f64 (neg.f64 (log.f64 15/2)) 13/30)))))))
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(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) 2) (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)))
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))
(fma.f64 (sqrt.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2))) (sqrt.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))
(fma.f64 (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)))
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 (neg.f64 z) 15/2)))))) 1)
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))))
(pow.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 (neg.f64 z) 15/2)))) 1)
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))))
(pow.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 (neg.f64 z) 15/2)))) 3) 1/3)
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))))
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 (neg.f64 z) 15/2))))) 3)
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))))
(pow.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 (neg.f64 z) 15/2))))) 2)
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))))
(sqrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 (neg.f64 z) 15/2)))) 2))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))))
(log.f64 (pow.f64 (exp.f64 (exp.f64 (+.f64 (neg.f64 z) 15/2))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 (neg.f64 z) 15/2)))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))))
(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 (neg.f64 z) 15/2)))) 3))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))))
(cbrt.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) 3) (pow.f64 (exp.f64 (+.f64 (neg.f64 z) 15/2)) 3)))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))))
(cbrt.f64 (.f64 (pow.f64 (exp.f64 (+.f64 (neg.f64 z) 15/2)) 3) (pow.f64 (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) 3)))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))))
(expm1.f64 (log1p.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 (neg.f64 z) 15/2))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))))
(log1p.f64 (expm1.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 (neg.f64 z) 15/2))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))))
(exp.f64 (+.f64 (+.f64 (neg.f64 z) 15/2) (log.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))))
(exp.f64 (.f64 (+.f64 (+.f64 (neg.f64 z) 15/2) (log.f64 (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))))) 1))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))))

eval5.1s (6.9%)

Compiler: Compiled 135812 to 111904 computations (17.6% saved)

prune786.0ms (1.1%)

Pruning

32 alts after pruning (32 fresh and 0 done)

	Pruned	Kept	Total
New	1179	32	1211
Fresh	0	0	0
Picked	1	0	1
Done	4	0	4
Total	1184	32	1216

Error

0.1b

Counts

1216 → 32

Alt Table

Click to see full alt table

Status	Error	Program
	0.5b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (/.f64 (-.f64 1 (*.f64 (+.f64 z 1) (+.f64 z 1))) (+.f64 z 2)) 15/2) (-.f64 (-.f64 1 z) 1/2))) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7))))))
	13.6b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (neg.f64 z) 3) 1/3) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
	1.7b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (/.f64 1 (/.f64 (+.f64 (neg.f64 z) 2) (-.f64 (pow.f64 (-.f64 1 z) 2) 1))) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
	0.5b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2))) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2))) (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 -6765203681218851/10000000000000 (-.f64 1 z))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 -6765203681218851/10000000000000 (-.f64 1 z))))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7))))))
	1.4b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (exp.f64 (log.f64 (+.f64 (-.f64 1 z) -1))) 15/2) (-.f64 (-.f64 1 z) 1/2))) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7))))))
▶	1.0b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
	62.6b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 4919378858736341/200000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
	2.6b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
	1.0b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
▶	2.2b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 39321001939258358983/90000000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
	62.4b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 (/.f64 6868447169803563/40000000000000 z) z) (/.f64 4919378858736341/200000000000000 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
	2.6b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
	1.0b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (expm1.f64 (log1p.f64 (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
	1.4b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 (+.f64 -1 z) -13/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
	1.4b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))))))
	0.5b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (.f64 (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))
▶	0.5b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 (+.f64 (.f64 -3147848041806007/2500000000000 (+.f64 2 (-.f64 1 z))) (.f64 (+.f64 1 (-.f64 1 z)) 7713234287776531/10000000000000)) (*.f64 (+.f64 1 (-.f64 1 z)) (+.f64 2 (-.f64 1 z))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
	2.0b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 (*.f64 -5154349522119383/22500000000000 z) 11173853963059511/30000000000000)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
▶	3.1b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2))))
	0.5b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (expm1.f64 (log1p.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
	55.0b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 9999999999998099/10000000000000000 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))))))
▶	1.4b	(.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
	0.7b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 (.f64 6765203681218851/10000000000000 (-.f64 2 z)) (.f64 (-.f64 1 z) -3147848041806007/2500000000000)) (.f64 (-.f64 1 z) (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
	62.7b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 -15176929548346663410362579/25000000000000000000000 z)) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
	0.8b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
	63.7b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -10432597066258314615852833/6250000000000000000000 (.f64 z z)) (/.f64 -15176929548346663410362579/25000000000000000000000 z))) (.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
	2.7b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
	2.1b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 904816194325545171523082059/4200000000000000000000000 (.f64 z (+.f64 17677775146260978562117317613/235200000000000000000000000 (.f64 z 3071077024184708161128044520019/118540800000000000000000000000))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
	2.4b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 904816194325545171523082059/4200000000000000000000000 (.f64 z 17677775146260978562117317613/235200000000000000000000000))) (.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
	2.1b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (expm1.f64 (log1p.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
	2.8b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 904816194325545171523082059/4200000000000000000000000) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
	2.5b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 z))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))

Compiler

Compiled 4702 to 3898 computations (17.1% saved)

localize361.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.0b	(*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))
✓	1.0b	(.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 (+.f64 (.f64 -3147848041806007/2500000000000 (+.f64 2 (-.f64 1 z))) (.f64 (+.f64 1 (-.f64 1 z)) 7713234287776531/10000000000000)) (*.f64 (+.f64 1 (-.f64 1 z)) (+.f64 2 (-.f64 1 z))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))
✓	1.0b	(/.f64 (+.f64 (.f64 -3147848041806007/2500000000000 (+.f64 2 (-.f64 1 z))) (.f64 (+.f64 1 (-.f64 1 z)) 7713234287776531/10000000000000)) (*.f64 (+.f64 1 (-.f64 1 z)) (+.f64 2 (-.f64 1 z))))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 770 to 646 computations (16.1% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	z	@	0	(.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 (+.f64 (.f64 -3147848041806007/2500000000000 (+.f64 2 (-.f64 1 z))) (.f64 (+.f64 1 (-.f64 1 z)) 7713234287776531/10000000000000)) (*.f64 (+.f64 1 (-.f64 1 z)) (+.f64 2 (-.f64 1 z))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))
1.0ms	z	@	-inf	(.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 (+.f64 (.f64 -3147848041806007/2500000000000 (+.f64 2 (-.f64 1 z))) (.f64 (+.f64 1 (-.f64 1 z)) 7713234287776531/10000000000000)) (*.f64 (+.f64 1 (-.f64 1 z)) (+.f64 2 (-.f64 1 z))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))
0.0ms	z	@	inf	(.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 (+.f64 (.f64 -3147848041806007/2500000000000 (+.f64 2 (-.f64 1 z))) (.f64 (+.f64 1 (-.f64 1 z)) 7713234287776531/10000000000000)) (*.f64 (+.f64 1 (-.f64 1 z)) (+.f64 2 (-.f64 1 z))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))
0.0ms	z	@	0	(/.f64 (+.f64 (.f64 -3147848041806007/2500000000000 (+.f64 2 (-.f64 1 z))) (.f64 (+.f64 1 (-.f64 1 z)) 7713234287776531/10000000000000)) (*.f64 (+.f64 1 (-.f64 1 z)) (+.f64 2 (-.f64 1 z))))
0.0ms	z	@	-inf	(/.f64 (+.f64 (.f64 -3147848041806007/2500000000000 (+.f64 2 (-.f64 1 z))) (.f64 (+.f64 1 (-.f64 1 z)) 7713234287776531/10000000000000)) (*.f64 (+.f64 1 (-.f64 1 z)) (+.f64 2 (-.f64 1 z))))

rewrite79.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

662×	`add-log-exp_binary64`
661×	`log1p-expm1-u_binary64`
661×	`expm1-log1p-u_binary64`
660×	`add-cbrt-cube_binary64`
660×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	155
1	1358	155

Stop Event

1×	node limit

Counts

2 → 18

Calls

Call 1

Inputs

(/.f64 (+.f64 (*.f64 -3147848041806007/2500000000000 (+.f64 2 (-.f64 1 z))) (*.f64 (+.f64 1 (-.f64 1 z)) 7713234287776531/10000000000000)) (*.f64 (+.f64 1 (-.f64 1 z)) (+.f64 2 (-.f64 1 z))))

(*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 (+.f64 (*.f64 -3147848041806007/2500000000000 (+.f64 2 (-.f64 1 z))) (*.f64 (+.f64 1 (-.f64 1 z)) 7713234287776531/10000000000000)) (*.f64 (+.f64 1 (-.f64 1 z)) (+.f64 2 (-.f64 1 z))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 -3147848041806007/2500000000000 (-.f64 3 z) (*.f64 (-.f64 2 z) 7713234287776531/10000000000000)) (*.f64 (-.f64 3 z) (-.f64 2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -3147848041806007/2500000000000 (-.f64 3 z) (*.f64 (-.f64 2 z) 7713234287776531/10000000000000)) (/.f64 1 (*.f64 (-.f64 3 z) (-.f64 2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (/.f64 (fma.f64 -3147848041806007/2500000000000 (-.f64 3 z) (*.f64 (-.f64 2 z) 7713234287776531/10000000000000)) (*.f64 (-.f64 3 z) (-.f64 2 z)))) (cbrt.f64 (/.f64 (fma.f64 -3147848041806007/2500000000000 (-.f64 3 z) (*.f64 (-.f64 2 z) 7713234287776531/10000000000000)) (*.f64 (-.f64 3 z) (-.f64 2 z))))) (cbrt.f64 (/.f64 (fma.f64 -3147848041806007/2500000000000 (-.f64 3 z) (*.f64 (-.f64 2 z) 7713234287776531/10000000000000)) (*.f64 (-.f64 3 z) (-.f64 2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 -3147848041806007/2500000000000 (-.f64 3 z) (*.f64 (-.f64 2 z) 7713234287776531/10000000000000)) (*.f64 (-.f64 3 z) (-.f64 2 z)))) (sqrt.f64 (/.f64 (fma.f64 -3147848041806007/2500000000000 (-.f64 3 z) (*.f64 (-.f64 2 z) 7713234287776531/10000000000000)) (*.f64 (-.f64 3 z) (-.f64 2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 -3147848041806007/2500000000000 (-.f64 3 z) (*.f64 (-.f64 2 z) 7713234287776531/10000000000000)) (*.f64 (-.f64 3 z) (-.f64 2 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 -3147848041806007/2500000000000 (-.f64 3 z) (*.f64 (-.f64 2 z) 7713234287776531/10000000000000)) (*.f64 (-.f64 3 z) (-.f64 2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (/.f64 (fma.f64 -3147848041806007/2500000000000 (-.f64 3 z) (*.f64 (-.f64 2 z) 7713234287776531/10000000000000)) (*.f64 (-.f64 3 z) (-.f64 2 z))) (/.f64 (fma.f64 -3147848041806007/2500000000000 (-.f64 3 z) (*.f64 (-.f64 2 z) 7713234287776531/10000000000000)) (*.f64 (-.f64 3 z) (-.f64 2 z)))) (/.f64 (fma.f64 -3147848041806007/2500000000000 (-.f64 3 z) (*.f64 (-.f64 2 z) 7713234287776531/10000000000000)) (*.f64 (-.f64 3 z) (-.f64 2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 -3147848041806007/2500000000000 (-.f64 3 z) (*.f64 (-.f64 2 z) 7713234287776531/10000000000000)) (*.f64 (-.f64 3 z) (-.f64 2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 -3147848041806007/2500000000000 (-.f64 3 z) (*.f64 (-.f64 2 z) 7713234287776531/10000000000000)) (*.f64 (-.f64 3 z) (-.f64 2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 -3147848041806007/2500000000000 (-.f64 3 z) (*.f64 (-.f64 2 z) 7713234287776531/10000000000000)) (*.f64 (-.f64 3 z) (-.f64 2 z)))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 (fma.f64 -3147848041806007/2500000000000 (-.f64 3 z) (*.f64 (-.f64 2 z) 7713234287776531/10000000000000)) (*.f64 (-.f64 3 z) (-.f64 2 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 1 (-.f64 z 3))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))))) (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1 (-.f64 z -1/2))) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)))) (*.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (-.f64 z 6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))) (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1 (-.f64 z -1/2))) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) 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simplify72.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

815×	`associate-+l+_binary64`
421×	`times-frac_binary64`
312×	`associate-/l*_binary64`
253×	`associate-*l/_binary64`
248×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	247	2360
1	724	2213
2	2922	1997

Stop Event

1×	node limit

Counts

42 → 76

Calls

Call 1

Inputs
-11173853963059511/30000000000000
(-.f64 (*.f64 -5154349522119383/22500000000000 z) 11173853963059511/30000000000000)
(-.f64 (+.f64 (.f64 -5154349522119383/22500000000000 z) (.f64 -69565428553209127/540000000000000 (pow.f64 z 2))) 11173853963059511/30000000000000)
(-.f64 (+.f64 (.f64 -5154349522119383/22500000000000 z) (+.f64 (.f64 -224122754235180443/3240000000000000 (pow.f64 z 3)) (*.f64 -69565428553209127/540000000000000 (pow.f64 z 2)))) 11173853963059511/30000000000000)
(/.f64 4878157879447497/10000000000000 z)
(+.f64 (.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 4878157879447497/10000000000000 (/.f64 1 z)))
(-.f64 (+.f64 (.f64 4878157879447497/10000000000000 (/.f64 1 z)) (.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2)))) (*.f64 19053539921092667/10000000000000 (/.f64 1 (pow.f64 z 3))))
(-.f64 (+.f64 (.f64 4878157879447497/10000000000000 (/.f64 1 z)) (.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (.f64 107526188432174113/10000000000000 (/.f64 1 (pow.f64 z 4))) (.f64 19053539921092667/10000000000000 (/.f64 1 (pow.f64 z 3)))))
(/.f64 4878157879447497/10000000000000 z)
(+.f64 (.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 4878157879447497/10000000000000 (/.f64 1 z)))
(-.f64 (+.f64 (.f64 4878157879447497/10000000000000 (/.f64 1 z)) (.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2)))) (*.f64 19053539921092667/10000000000000 (/.f64 1 (pow.f64 z 3))))
(-.f64 (+.f64 (.f64 4878157879447497/10000000000000 (/.f64 1 z)) (.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (.f64 107526188432174113/10000000000000 (/.f64 1 (pow.f64 z 4))) (.f64 19053539921092667/10000000000000 (/.f64 1 (pow.f64 z 3)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))
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Outputs
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(log1p.f64 (expm1.f64 (.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1 (-.f64 z -1/2))) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))) (+.f64 (+.f64 (/.f64 (fma.f64 -3147848041806007/2500000000000 (-.f64 3 z) (.f64 (-.f64 2 z) 7713234287776531/10000000000000)) (.f64 (-.f64 3 z) (-.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 1 (-.f64 z 3))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (-.f64 z 6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))
(.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))) (+.f64 (/.f64 (fma.f64 -3147848041806007/2500000000000 (-.f64 3 z) (.f64 (-.f64 2 z) 7713234287776531/10000000000000)) (.f64 (-.f64 3 z) (-.f64 2 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
(.f64 (.f64 (pow.f64 (-.f64 15/2 z) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (-.f64 -13/2 (-.f64 1 z)))) (+.f64 (/.f64 (fma.f64 -3147848041806007/2500000000000 (-.f64 3 z) (.f64 (-.f64 2 z) 7713234287776531/10000000000000)) (.f64 (-.f64 3 z) (-.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (/.f64 (fma.f64 -3147848041806007/2500000000000 (-.f64 3 z) (.f64 (-.f64 2 z) 7713234287776531/10000000000000)) (.f64 (-.f64 3 z) (-.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
(exp.f64 (log.f64 (.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1 (-.f64 z -1/2))) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))) (+.f64 (+.f64 (/.f64 (fma.f64 -3147848041806007/2500000000000 (-.f64 3 z) (.f64 (-.f64 2 z) 7713234287776531/10000000000000)) (.f64 (-.f64 3 z) (-.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 1 (-.f64 z 3))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (-.f64 z 6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))
(.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))) (+.f64 (/.f64 (fma.f64 -3147848041806007/2500000000000 (-.f64 3 z) (.f64 (-.f64 2 z) 7713234287776531/10000000000000)) (.f64 (-.f64 3 z) (-.f64 2 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
(.f64 (.f64 (pow.f64 (-.f64 15/2 z) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (-.f64 -13/2 (-.f64 1 z)))) (+.f64 (/.f64 (fma.f64 -3147848041806007/2500000000000 (-.f64 3 z) (.f64 (-.f64 2 z) 7713234287776531/10000000000000)) (.f64 (-.f64 3 z) (-.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (/.f64 (fma.f64 -3147848041806007/2500000000000 (-.f64 3 z) (.f64 (-.f64 2 z) 7713234287776531/10000000000000)) (.f64 (-.f64 3 z) (-.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))

localize36.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (PI.f64) z)
✓	0.3b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2))))
✓	0.3b	(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 73 to 52 computations (28.8% saved)

series10.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	z	@	0	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2))))
2.0ms	z	@	inf	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2))))
1.0ms	z	@	0	(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
1.0ms	z	@	-inf	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2))))
1.0ms	z	@	inf	(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))

rewrite78.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

929×	`log-prod_binary64`
311×	`expm1-udef_binary64`
311×	`log1p-udef_binary64`
256×	`log-pow_binary64`
243×	`prod-diff_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	49
1	370	47
2	4432	47

Stop Event

1×	node limit

Counts

3 → 82

Calls

Call 1

Inputs

(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))

(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2))))

(*.f64 (PI.f64) z)

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))))) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000))))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 (exp.f64 -15) 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (PI.f64) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (PI.f64))) (cbrt.f64 (pow.f64 (exp.f64 z) (PI.f64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (PI.f64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (PI.f64) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (PI.f64) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (PI.f64) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (PI.f64) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (PI.f64) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (PI.f64) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (PI.f64) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (PI.f64) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (PI.f64) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (PI.f64) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) z)) 1))))))

simplify70.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

604×	`distribute-rgt-in_binary64`
592×	`distribute-lft-in_binary64`
553×	`unswap-sqr_binary64`
505×	`times-frac_binary64`
251×	`log-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	287	2463
1	694	2305
2	2649	2203

Stop Event

1×	node limit

Counts

118 → 130

Calls

Call 1

Inputs
(/.f64 1 z)
(+.f64 (.f64 1/6 (.f64 z (pow.f64 (PI.f64) 2))) (/.f64 1 z))
(+.f64 (.f64 1/6 (.f64 z (pow.f64 (PI.f64) 2))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/120 (pow.f64 (PI.f64) 4)) (.f64 -1/36 (pow.f64 (PI.f64) 4))) (pow.f64 z 3))) (/.f64 1 z)))
(+.f64 (.f64 -1 (.f64 (pow.f64 z 5) (+.f64 (.f64 1/6 (.f64 (+.f64 (.f64 1/120 (pow.f64 (PI.f64) 4)) (.f64 -1/36 (pow.f64 (PI.f64) 4))) (pow.f64 (PI.f64) 2))) (+.f64 (.f64 -1/5040 (pow.f64 (PI.f64) 6)) (.f64 1/720 (pow.f64 (PI.f64) 6)))))) (+.f64 (.f64 1/6 (.f64 z (pow.f64 (PI.f64) 2))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/120 (pow.f64 (PI.f64) 4)) (.f64 -1/36 (pow.f64 (PI.f64) 4))) (pow.f64 z 3))) (/.f64 1 z))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 1106209385320415913103082059/25200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) z))) (sqrt.f64 (pow.f64 (PI.f64) 5)))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 1106209385320415913103082059/25200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) z))) (sqrt.f64 (pow.f64 (PI.f64) 5)))) (+.f64 (.f64 -1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (+.f64 (.f64 1/120 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (pow.f64 (PI.f64) 3))))) (.f64 -1/36 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (pow.f64 (PI.f64) 3)))))) (pow.f64 z 3)) (sqrt.f64 (pow.f64 (PI.f64) 3)))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))))
(+.f64 (.f64 1106209385320415913103082059/25200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) z))) (sqrt.f64 (pow.f64 (PI.f64) 5)))) (+.f64 (.f64 -1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (+.f64 (.f64 1/120 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (pow.f64 (PI.f64) 3))))) (.f64 -1/36 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (pow.f64 (PI.f64) 3)))))) (pow.f64 z 3)) (sqrt.f64 (pow.f64 (PI.f64) 3)))) (+.f64 (.f64 -1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (pow.f64 z 5) (+.f64 (.f64 1/6 (.f64 (+.f64 (.f64 1/120 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (pow.f64 (PI.f64) 3))))) (.f64 -1/36 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (pow.f64 (PI.f64) 3)))))) (pow.f64 (PI.f64) 2))) (+.f64 (.f64 1/720 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (pow.f64 (PI.f64) 5))))) (.f64 -1/5040 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (pow.f64 (PI.f64) 5)))))))) (sqrt.f64 (pow.f64 (PI.f64) 3)))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3))))
(*.f64 z (PI.f64))
(*.f64 z (PI.f64))
(*.f64 z (PI.f64))
(*.f64 z (PI.f64))
(*.f64 z (PI.f64))
(*.f64 z (PI.f64))
(*.f64 z (PI.f64))
(*.f64 z (PI.f64))
(*.f64 z (PI.f64))
(*.f64 z (PI.f64))
(*.f64 z (PI.f64))
(*.f64 z (PI.f64))
(+.f64 0 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))))) (cbrt.f64 (exp.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))) 1)
(.f64 (PI.f64) (/.f64 1 (sin.f64 (.f64 (PI.f64) z))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) 1)
(.f64 1 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))))
(.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))) (cbrt.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 2)))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) 2)) (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (.f64 (cbrt.f64 (PI.f64)) (/.f64 1 (sin.f64 (*.f64 (PI.f64) z)))))
(.f64 (sqrt.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))) (sqrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (/.f64 1 (sin.f64 (*.f64 (PI.f64) z)))))
(.f64 (neg.f64 (PI.f64)) (/.f64 1 (neg.f64 (sin.f64 (.f64 (PI.f64) z)))))
(.f64 (/.f64 1 (sin.f64 (.f64 (PI.f64) z))) (PI.f64))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 1) (/.f64 (cbrt.f64 (PI.f64)) (sin.f64 (.f64 (PI.f64) z))))
(.f64 (/.f64 (sqrt.f64 (PI.f64)) 1) (/.f64 (sqrt.f64 (PI.f64)) (sin.f64 (.f64 (PI.f64) z))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 (.f64 (PI.f64) z))) 2)) (/.f64 (PI.f64) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (cbrt.f64 (sin.f64 (.f64 (PI.f64) z))) 2)) (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(.f64 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (sin.f64 (.f64 (PI.f64) z))) 2)) (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z)))))
(.f64 (/.f64 1 (sqrt.f64 (sin.f64 (.f64 (PI.f64) z)))) (/.f64 (PI.f64) (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (sqrt.f64 (sin.f64 (.f64 (PI.f64) z)))) (/.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z)))))
(pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 1)
(pow.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) 3)
(pow.f64 (sqrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) 2)
(pow.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64)) -1)
(neg.f64 (/.f64 (PI.f64) (neg.f64 (sin.f64 (*.f64 (PI.f64) z)))))
(sqrt.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 2))
(log.f64 (exp.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))))
(cbrt.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 3))
(cbrt.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(log1p.f64 (expm1.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(exp.f64 (log.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(exp.f64 (.f64 (log.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))) 1))
(+.f64 0 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000))))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))) (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))))) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))) (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))) (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000))))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))) (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000))))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))) (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000))))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000))))))) 1)
(/.f64 (PI.f64) (/.f64 (sin.f64 (.f64 (PI.f64) z)) (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000))))))
(/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64)))
(/.f64 1 (/.f64 (sin.f64 (.f64 (PI.f64) z)) (.f64 (PI.f64) (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))))))
(/.f64 (.f64 (PI.f64) (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000))))) (sin.f64 (.f64 (PI.f64) z)))
(/.f64 (neg.f64 (.f64 (PI.f64) (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))))) (neg.f64 (sin.f64 (.f64 (PI.f64) z))))
(/.f64 (/.f64 (.f64 (PI.f64) (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000))))) 1) (sin.f64 (.f64 (PI.f64) z)))
(/.f64 (/.f64 (.f64 (PI.f64) (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000))))) (pow.f64 (cbrt.f64 (sin.f64 (.f64 (PI.f64) z))) 2)) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z))))
(/.f64 (/.f64 (.f64 (PI.f64) (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000))))) (sqrt.f64 (sin.f64 (.f64 (PI.f64) z)))) (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z))))
(/.f64 (.f64 (neg.f64 (PI.f64)) (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000))))) (neg.f64 (sin.f64 (.f64 (PI.f64) z))))
(/.f64 (.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))) (neg.f64 (PI.f64))) (neg.f64 (sin.f64 (.f64 (PI.f64) z))))
(pow.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000))))) 1)
(pow.f64 (pow.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000))))) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))))) 3)
(pow.f64 (sqrt.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))))) 2)
(sqrt.f64 (.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) 2) (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))))
(log.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))) (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000))))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000))))))))
(cbrt.f64 (pow.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000))))) 3))
(cbrt.f64 (.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) 3) (pow.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))) 3)))
(cbrt.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))) 3) (pow.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) 3)))
(expm1.f64 (log1p.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))))))
(log1p.f64 (expm1.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))))))
(exp.f64 (log.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))))) 1))
(+.f64 0 (*.f64 (PI.f64) z))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (PI.f64))) (cbrt.f64 (pow.f64 (exp.f64 z) (PI.f64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (PI.f64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (PI.f64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (PI.f64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) z))) 1)
(pow.f64 (*.f64 (PI.f64) z) 1)
(pow.f64 (pow.f64 (*.f64 (PI.f64) z) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) z)) 3)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) z)) 2)
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) z) 2))
(log.f64 (pow.f64 (exp.f64 z) (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) z))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) z) 3))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 z 3)))
(cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) z)))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) z)))
(exp.f64 (log.f64 (*.f64 (PI.f64) z)))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) z)) 1))

Outputs
(/.f64 1 z)
(+.f64 (.f64 1/6 (.f64 z (pow.f64 (PI.f64) 2))) (/.f64 1 z))
(fma.f64 1/6 (*.f64 z (pow.f64 (PI.f64) 2)) (/.f64 1 z))
(+.f64 (.f64 1/6 (.f64 z (pow.f64 (PI.f64) 2))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/120 (pow.f64 (PI.f64) 4)) (.f64 -1/36 (pow.f64 (PI.f64) 4))) (pow.f64 z 3))) (/.f64 1 z)))
(fma.f64 1/6 (.f64 z (pow.f64 (PI.f64) 2)) (fma.f64 -1 (.f64 (*.f64 (pow.f64 (PI.f64) 4) -7/360) (pow.f64 z 3)) (/.f64 1 z)))
(fma.f64 1/6 (.f64 z (pow.f64 (PI.f64) 2)) (-.f64 (/.f64 1 z) (.f64 (pow.f64 (PI.f64) 4) (*.f64 -7/360 (pow.f64 z 3)))))
(fma.f64 1/6 (.f64 z (pow.f64 (PI.f64) 2)) (fma.f64 (.f64 (pow.f64 (PI.f64) 4) 7/360) (pow.f64 z 3) (/.f64 1 z)))
(+.f64 (.f64 -1 (.f64 (pow.f64 z 5) (+.f64 (.f64 1/6 (.f64 (+.f64 (.f64 1/120 (pow.f64 (PI.f64) 4)) (.f64 -1/36 (pow.f64 (PI.f64) 4))) (pow.f64 (PI.f64) 2))) (+.f64 (.f64 -1/5040 (pow.f64 (PI.f64) 6)) (.f64 1/720 (pow.f64 (PI.f64) 6)))))) (+.f64 (.f64 1/6 (.f64 z (pow.f64 (PI.f64) 2))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/120 (pow.f64 (PI.f64) 4)) (.f64 -1/36 (pow.f64 (PI.f64) 4))) (pow.f64 z 3))) (/.f64 1 z))))
(fma.f64 -1 (.f64 (pow.f64 z 5) (fma.f64 1/6 (.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (PI.f64) 4) -7/360)) (.f64 (pow.f64 (PI.f64) 6) 1/840))) (fma.f64 1/6 (.f64 z (pow.f64 (PI.f64) 2)) (fma.f64 -1 (.f64 (*.f64 (pow.f64 (PI.f64) 4) -7/360) (pow.f64 z 3)) (/.f64 1 z))))
(-.f64 (fma.f64 1/6 (.f64 z (pow.f64 (PI.f64) 2)) (-.f64 (/.f64 1 z) (.f64 (pow.f64 (PI.f64) 4) (.f64 -7/360 (pow.f64 z 3))))) (.f64 (pow.f64 z 5) (fma.f64 1/6 (.f64 (pow.f64 (PI.f64) 6) -7/360) (.f64 (pow.f64 (PI.f64) 6) 1/840))))
(-.f64 (fma.f64 1/6 (.f64 z (pow.f64 (PI.f64) 2)) (fma.f64 (.f64 (pow.f64 (PI.f64) 4) 7/360) (pow.f64 z 3) (/.f64 1 z))) (.f64 (pow.f64 z 5) (fma.f64 1/6 (.f64 (pow.f64 (PI.f64) 6) -7/360) (*.f64 (pow.f64 (PI.f64) 6) 1/840))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (sqrt.f64 15/2)) (exp.f64 -15/2))) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 1106209385320415913103082059/25200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) z))) (sqrt.f64 (pow.f64 (PI.f64) 5)))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))))
(fma.f64 1106209385320415913103082059/25200000000000000000000000 (.f64 (sqrt.f64 2) (.f64 (.f64 (exp.f64 -15/2) (.f64 z (sqrt.f64 15/2))) (sqrt.f64 (pow.f64 (PI.f64) 5)))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64)))))
(fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (sqrt.f64 15/2)) (exp.f64 -15/2))) (sqrt.f64 (PI.f64))) (.f64 1106209385320415913103082059/25200000000000000000000000 (.f64 (.f64 (sqrt.f64 (pow.f64 (PI.f64) 5)) (sqrt.f64 2)) (.f64 (exp.f64 -15/2) (.f64 z (sqrt.f64 15/2))))))
(fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (sqrt.f64 15/2)) (exp.f64 -15/2))) (sqrt.f64 (PI.f64))) (.f64 (sqrt.f64 2) (.f64 (.f64 (exp.f64 -15/2) (.f64 (.f64 z (sqrt.f64 15/2)) (pow.f64 (PI.f64) 5/2))) 1106209385320415913103082059/25200000000000000000000000)))
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(fabs.f64 (.f64 (PI.f64) (/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 15 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))) (sin.f64 (*.f64 z (PI.f64))))))
(log.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))) (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))))
(.f64 (PI.f64) (/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 15 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))) (sin.f64 (*.f64 z (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))))
(.f64 (PI.f64) (/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 15 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))) (sin.f64 (*.f64 z (PI.f64)))))
(cbrt.f64 (pow.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000))))) 3))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))))
(.f64 (PI.f64) (/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 15 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))) (sin.f64 (*.f64 z (PI.f64)))))
(cbrt.f64 (.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) 3) (pow.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))) 3)))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))))
(.f64 (PI.f64) (/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 15 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))) (sin.f64 (*.f64 z (PI.f64)))))
(cbrt.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))) 3) (pow.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) 3)))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))))
(.f64 (PI.f64) (/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 15 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))) (sin.f64 (*.f64 z (PI.f64)))))
(expm1.f64 (log1p.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))))
(.f64 (PI.f64) (/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 15 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))) (sin.f64 (*.f64 z (PI.f64)))))
(log1p.f64 (expm1.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))))
(.f64 (PI.f64) (/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 15 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))) (sin.f64 (*.f64 z (PI.f64)))))
(exp.f64 (log.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))))
(.f64 (PI.f64) (/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 15 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))) (sin.f64 (*.f64 z (PI.f64)))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))))) 1))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))))
(.f64 (PI.f64) (/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 15 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))) (sin.f64 (*.f64 z (PI.f64)))))
(+.f64 0 (*.f64 (PI.f64) z))
(*.f64 z (PI.f64))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (PI.f64))) (cbrt.f64 (pow.f64 (exp.f64 z) (PI.f64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (PI.f64)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (PI.f64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (PI.f64)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (PI.f64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (PI.f64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (PI.f64)))))
(*.f64 z (PI.f64))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) z))) 1)
(*.f64 z (PI.f64))
(pow.f64 (*.f64 (PI.f64) z) 1)
(*.f64 z (PI.f64))
(pow.f64 (pow.f64 (*.f64 (PI.f64) z) 3) 1/3)
(*.f64 z (PI.f64))
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) z)) 3)
(*.f64 z (PI.f64))
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) z)) 2)
(*.f64 z (PI.f64))
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) z) 2))
(*.f64 z (PI.f64))
(log.f64 (pow.f64 (exp.f64 z) (PI.f64)))
(*.f64 z (PI.f64))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) z))))
(*.f64 z (PI.f64))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) z) 3))
(*.f64 z (PI.f64))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 z 3)))
(*.f64 z (PI.f64))
(cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (PI.f64) 3)))
(*.f64 z (PI.f64))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) z)))
(*.f64 z (PI.f64))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) z)))
(*.f64 z (PI.f64))
(exp.f64 (log.f64 (*.f64 (PI.f64) z)))
(*.f64 z (PI.f64))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) z)) 1))
(*.f64 z (PI.f64))

localize120.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.9b	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 39321001939258358983/90000000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
✓	1.0b	(+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 39321001939258358983/90000000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))
	1.0b	(*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 270 to 192 computations (28.9% saved)

series8.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	z	@	0	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 39321001939258358983/90000000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
2.0ms	z	@	-inf	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 39321001939258358983/90000000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
1.0ms	z	@	inf	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 39321001939258358983/90000000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
1.0ms	z	@	0	(+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 39321001939258358983/90000000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))
0.0ms	z	@	inf	(+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 39321001939258358983/90000000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))

rewrite65.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

453×	`add-sqr-sqrt_binary64`
430×	`add-log-exp_binary64`
429×	`log1p-expm1-u_binary64`
429×	`expm1-log1p-u_binary64`
428×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	101
1	892	101

Stop Event

1×	node limit

Counts

2 → 19

Calls

Call 1

Inputs

(+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 39321001939258358983/90000000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))

(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 39321001939258358983/90000000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 39321001939258358983/90000000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 39321001939258358983/90000000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (cbrt.f64 (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 39321001939258358983/90000000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (cbrt.f64 (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 39321001939258358983/90000000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 39321001939258358983/90000000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (sqrt.f64 (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 39321001939258358983/90000000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 39321001939258358983/90000000000000000 z)) 3) (pow.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) 3)) (+.f64 (*.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 39321001939258358983/90000000000000000 z)) (+.f64 7902188421553103227/30000000000000000 (*.f64 39321001939258358983/90000000000000000 z))) (-.f64 (*.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 39321001939258358983/90000000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 39321001939258358983/90000000000000000 z)) (+.f64 7902188421553103227/30000000000000000 (*.f64 39321001939258358983/90000000000000000 z))) (*.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (-.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 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simplify78.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

405×	`associate-*r/_binary64`
376×	`associate-*l/_binary64`
364×	`times-frac_binary64`
254×	`associate-r_binary64`
254×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	236	2397
1	749	2244
2	3525	2062

Stop Event

1×	node limit

Counts

43 → 90

Calls

Call 1

Inputs
1106209385320415913103082059/4200000000000000000000000
(+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 102757979785251069442117317613/235200000000000000000000000 z))
(+.f64 1106209385320415913103082059/4200000000000000000000000 (+.f64 (.f64 102757979785251069442117317613/235200000000000000000000000 z) (.f64 -76044331624539137747479981/118540800000000000000000000000 (pow.f64 z 2))))
(+.f64 (.f64 -2129255331893733814996830001/19914854400000000000000000000000 (pow.f64 z 3)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (+.f64 (.f64 102757979785251069442117317613/235200000000000000000000000 z) (*.f64 -76044331624539137747479981/118540800000000000000000000000 (pow.f64 z 2)))))
(*.f64 39321001939258358983/90000000000000000 z)
(+.f64 7902188421553103227/30000000000000000 (*.f64 39321001939258358983/90000000000000000 z))
(+.f64 7902188421553103227/30000000000000000 (+.f64 (.f64 3464024008321714637421/25000000000000000000000 (/.f64 1 z)) (.f64 39321001939258358983/90000000000000000 z)))
(+.f64 7902188421553103227/30000000000000000 (+.f64 (.f64 5195971728131790397167/6250000000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 3464024008321714637421/25000000000000000000000 (/.f64 1 z)) (*.f64 39321001939258358983/90000000000000000 z))))
(*.f64 39321001939258358983/90000000000000000 z)
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(pow.f64 (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 39321001939258358983/90000000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) 1)
(log.f64 (exp.f64 (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 39321001939258358983/90000000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(cbrt.f64 (.f64 (.f64 (+.f64 (+.f64 7902188421553103227/30000000000000000 (.f64 39321001939258358983/90000000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (.f64 39321001939258358983/90000000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 39321001939258358983/90000000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(expm1.f64 (log1p.f64 (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 39321001939258358983/90000000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
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(exp.f64 (log.f64 (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 39321001939258358983/90000000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
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(log.f64 (exp.f64 (.f64 (+.f64 (+.f64 7902188421553103227/30000000000000000 (.f64 39321001939258358983/90000000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))))))
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Outputs
1106209385320415913103082059/4200000000000000000000000
(+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 102757979785251069442117317613/235200000000000000000000000 z))
(fma.f64 102757979785251069442117317613/235200000000000000000000000 z 1106209385320415913103082059/4200000000000000000000000)
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(.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (fma.f64 z 39321001939258358983/90000000000000000 7902188421553103227/30000000000000000))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (sqrt.f64 (.f64 2 (PI.f64))))))
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(.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (.f64 z 39321001939258358983/90000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))))
(.f64 (+.f64 (fma.f64 z 39321001939258358983/90000000000000000 7902188421553103227/30000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (sqrt.f64 (.f64 2 (PI.f64))))))
(.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (fma.f64 z 39321001939258358983/90000000000000000 7902188421553103227/30000000000000000))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (sqrt.f64 (.f64 2 (PI.f64))))))
(cbrt.f64 (.f64 (.f64 (.f64 (+.f64 (+.f64 7902188421553103227/30000000000000000 (.f64 39321001939258358983/90000000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))) (.f64 (+.f64 (+.f64 7902188421553103227/30000000000000000 (.f64 39321001939258358983/90000000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))))) (.f64 (+.f64 (+.f64 7902188421553103227/30000000000000000 (.f64 39321001939258358983/90000000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))))))
(.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (.f64 z 39321001939258358983/90000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))))
(.f64 (+.f64 (fma.f64 z 39321001939258358983/90000000000000000 7902188421553103227/30000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (sqrt.f64 (.f64 2 (PI.f64))))))
(.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (fma.f64 z 39321001939258358983/90000000000000000 7902188421553103227/30000000000000000))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (sqrt.f64 (.f64 2 (PI.f64))))))
(expm1.f64 (log1p.f64 (.f64 (+.f64 (+.f64 7902188421553103227/30000000000000000 (.f64 39321001939258358983/90000000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))))))
(.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (.f64 z 39321001939258358983/90000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))))
(.f64 (+.f64 (fma.f64 z 39321001939258358983/90000000000000000 7902188421553103227/30000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (sqrt.f64 (.f64 2 (PI.f64))))))
(.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (fma.f64 z 39321001939258358983/90000000000000000 7902188421553103227/30000000000000000))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (sqrt.f64 (.f64 2 (PI.f64))))))
(log1p.f64 (expm1.f64 (.f64 (+.f64 (+.f64 7902188421553103227/30000000000000000 (.f64 39321001939258358983/90000000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))))))
(.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (.f64 z 39321001939258358983/90000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))))
(.f64 (+.f64 (fma.f64 z 39321001939258358983/90000000000000000 7902188421553103227/30000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (sqrt.f64 (.f64 2 (PI.f64))))))
(.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (fma.f64 z 39321001939258358983/90000000000000000 7902188421553103227/30000000000000000))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (sqrt.f64 (.f64 2 (PI.f64))))))
(exp.f64 (log.f64 (.f64 (+.f64 (+.f64 7902188421553103227/30000000000000000 (.f64 39321001939258358983/90000000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))))))
(.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (.f64 z 39321001939258358983/90000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))))
(.f64 (+.f64 (fma.f64 z 39321001939258358983/90000000000000000 7902188421553103227/30000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (sqrt.f64 (.f64 2 (PI.f64))))))
(.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (fma.f64 z 39321001939258358983/90000000000000000 7902188421553103227/30000000000000000))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (sqrt.f64 (.f64 2 (PI.f64))))))

localize208.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))
	1.0b	(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))
	1.0b	(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 464 to 364 computations (21.6% saved)

series1.0ms (0%)

Counts

1 → 8

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))

0.0ms

-inf

(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))

0.0ms

inf

(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))

rewrite50.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

514×	`log-prod_binary64`
327×	`pow-prod-down_binary64`
311×	`pow2_binary64`
254×	`pow-unpow_binary64`
216×	`pow-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	18
1	237	18
2	3217	18

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

Inputs
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (exp.f64 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) (+.f64 z -15/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (exp.f64 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) (+.f64 z -15/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (-.f64 15/2 z)) (exp.f64 z)) (*.f64 (pow.f64 (-.f64 15/2 z) z) (exp.f64 15/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (exp.f64 z) (sqrt.f64 (-.f64 15/2 z))) (*.f64 (exp.f64 15/2) (pow.f64 (-.f64 15/2 z) z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (-.f64 15/2 z)) (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (exp.f64 z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 15/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 z)) (exp.f64 15/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (sqrt.f64 (-.f64 15/2 z))) (pow.f64 (-.f64 15/2 z) z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) (+.f64 z -15/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) (+.f64 z -15/2))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) (+.f64 z -15/2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) (+.f64 z -15/2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) (+.f64 z -15/2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) (+.f64 z -15/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (exp.f64 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) (+.f64 z -15/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) (+.f64 z -15/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) (+.f64 z -15/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) (+.f64 z -15/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) (+.f64 z -15/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) (+.f64 z -15/2)) 1))))))

simplify49.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

537×	`fma-def_binary64`
512×	`associate-l_binary64`
456×	`associate-r_binary64`
295×	`times-frac_binary64`
266×	`associate-+l+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	123	877
1	338	759
2	1067	725
3	6626	725

Stop Event

1×	node limit

Counts

31 → 41

Calls

Call 1

Inputs
(*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))
(+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z))
(+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (.f64 (+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z) (.f64 (+.f64 (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (.f64 1/2 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (pow.f64 z 2))))
(+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (.f64 (+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z) (+.f64 (.f64 (+.f64 (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (.f64 1/2 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (pow.f64 z 2)) (.f64 (+.f64 (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (+.f64 (.f64 29/225 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15)) (+.f64 86/10125 (.f64 1/6 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 3)))))) (+.f64 (.f64 1/6 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (.f64 1/2 (.f64 (exp.f64 -15/2) (.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))))))) (pow.f64 z 3)))))
(.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))
(.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))
(.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))
(.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))
(+.f64 0 (exp.f64 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) (+.f64 z -15/2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) (+.f64 z -15/2))))) 1)
(/.f64 (.f64 (sqrt.f64 (-.f64 15/2 z)) (exp.f64 z)) (.f64 (pow.f64 (-.f64 15/2 z) z) (exp.f64 15/2)))
(/.f64 (.f64 (exp.f64 z) (sqrt.f64 (-.f64 15/2 z))) (.f64 (exp.f64 15/2) (pow.f64 (-.f64 15/2 z) z)))
(/.f64 (*.f64 (sqrt.f64 (-.f64 15/2 z)) (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) z))
(/.f64 (*.f64 (exp.f64 z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 15/2))
(/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 z)) (exp.f64 15/2))
(/.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (sqrt.f64 (-.f64 15/2 z))) (pow.f64 (-.f64 15/2 z) z))
(pow.f64 (exp.f64 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) (+.f64 z -15/2))) 1)
(pow.f64 (pow.f64 (exp.f64 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) (+.f64 z -15/2))) 2) 1/2)
(pow.f64 (pow.f64 (exp.f64 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) (+.f64 z -15/2))) 3) 1/3)
(pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) (+.f64 z -15/2)))) 3)
(pow.f64 (sqrt.f64 (exp.f64 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) (+.f64 z -15/2)))) 2)
(sqrt.f64 (pow.f64 (exp.f64 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) (+.f64 z -15/2))) 2))
(log.f64 (pow.f64 (exp.f64 (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) (+.f64 z -15/2))))))
(cbrt.f64 (pow.f64 (exp.f64 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) (+.f64 z -15/2))) 3))
(expm1.f64 (log1p.f64 (exp.f64 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) (+.f64 z -15/2)))))
(log1p.f64 (expm1.f64 (exp.f64 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) (+.f64 z -15/2)))))
(exp.f64 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) (+.f64 z -15/2)))
(exp.f64 (*.f64 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) (+.f64 z -15/2)) 1))

Outputs
(*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))
(+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z))
(fma.f64 (exp.f64 -15/2) (sqrt.f64 15/2) (.f64 (.f64 (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z))
(fma.f64 (exp.f64 -15/2) (sqrt.f64 15/2) (.f64 (.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (neg.f64 (log.f64 15/2)) 14/15)) z))
(.f64 (+.f64 (.f64 z (fma.f64 -1 (log.f64 15/2) 14/15)) 1) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))
(+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (.f64 (+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z) (.f64 (+.f64 (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (.f64 1/2 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (pow.f64 z 2))))
(fma.f64 (exp.f64 -15/2) (sqrt.f64 15/2) (fma.f64 (.f64 (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z (.f64 (fma.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2))) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1/2))) (.f64 z z))))
(fma.f64 (exp.f64 -15/2) (sqrt.f64 15/2) (fma.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (neg.f64 (log.f64 15/2)) 14/15)) z (.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2) 29/225) (+.f64 (neg.f64 (log.f64 15/2)) 13/30))) (.f64 z z))))
(fma.f64 z (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (+.f64 (fma.f64 1/2 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 2) 29/225) (fma.f64 -1 (log.f64 15/2) 13/30)) z)) (.f64 (+.f64 (.f64 z (fma.f64 -1 (log.f64 15/2) 14/15)) 1) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))
(+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (.f64 (+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z) (+.f64 (.f64 (+.f64 (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (.f64 1/2 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (pow.f64 z 2)) (.f64 (+.f64 (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (+.f64 (.f64 29/225 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15)) (+.f64 86/10125 (.f64 1/6 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 3)))))) (+.f64 (.f64 1/6 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (.f64 1/2 (.f64 (exp.f64 -15/2) (.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))))))) (pow.f64 z 3)))))
(fma.f64 (exp.f64 -15/2) (sqrt.f64 15/2) (fma.f64 (.f64 (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z (fma.f64 (fma.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2))) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1/2))) (.f64 z z) (.f64 (fma.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2))) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (fma.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (fma.f64 29/225 (fma.f64 -1 (log.f64 15/2) -1/15) (+.f64 86/10125 (.f64 1/6 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 3))))) (fma.f64 1/6 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (.f64 1/2 (exp.f64 -15/2)) (.f64 (sqrt.f64 15/2) (fma.f64 -1 (log.f64 15/2) -1/15)))))) (pow.f64 z 3)))))
(fma.f64 (exp.f64 -15/2) (sqrt.f64 15/2) (fma.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (neg.f64 (log.f64 15/2)) 14/15)) z (fma.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2) 29/225) (+.f64 (neg.f64 (log.f64 15/2)) 13/30))) (.f64 z z) (.f64 (+.f64 (fma.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 1/6 (.f64 (exp.f64 -15/2) (.f64 (.f64 (sqrt.f64 15/2) (fma.f64 -1 (log.f64 15/2) -1/15)) 1/2))) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2) 29/225) (fma.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 29/225 (fma.f64 1/6 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 3) 86/10125))))) (pow.f64 z 3)))))
(+.f64 (.f64 (+.f64 (.f64 z (fma.f64 -1 (log.f64 15/2) 14/15)) 1) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (.f64 (.f64 z z) (+.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 1/2 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 2) 29/225) (fma.f64 -1 (log.f64 15/2) 13/30))) (.f64 z (+.f64 (.f64 (exp.f64 -15/2) (.f64 (-.f64 -1/15 (log.f64 15/2)) (.f64 (sqrt.f64 15/2) 1/2))) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 1/2 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 2) 29/225) (+.f64 (fma.f64 1/6 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 3) (+.f64 -29/3375 (.f64 (log.f64 15/2) -29/225))) 3547/20250))))))))
(.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))
(*.f64 (exp.f64 (neg.f64 (-.f64 15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))
(*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))
(.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))
(*.f64 (exp.f64 (neg.f64 (-.f64 15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))
(*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))
(.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))
(*.f64 (exp.f64 (neg.f64 (-.f64 15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))
(*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))
(.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))
(*.f64 (exp.f64 (neg.f64 (-.f64 15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))
(*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))
(+.f64 0 (exp.f64 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) (+.f64 z -15/2))))
(*.f64 (exp.f64 (neg.f64 (-.f64 15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))
(*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 (+.f64 -15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 (+.f64 -15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 (+.f64 -15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(*.f64 (exp.f64 (neg.f64 (-.f64 15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))
(*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) (+.f64 z -15/2))))) 1)
(*.f64 (exp.f64 (neg.f64 (-.f64 15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))
(*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))
(/.f64 (.f64 (sqrt.f64 (-.f64 15/2 z)) (exp.f64 z)) (.f64 (pow.f64 (-.f64 15/2 z) z) (exp.f64 15/2)))
(*.f64 (exp.f64 (neg.f64 (-.f64 15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))
(*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))
(/.f64 (.f64 (exp.f64 z) (sqrt.f64 (-.f64 15/2 z))) (.f64 (exp.f64 15/2) (pow.f64 (-.f64 15/2 z) z)))
(*.f64 (exp.f64 (neg.f64 (-.f64 15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))
(*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))
(/.f64 (*.f64 (sqrt.f64 (-.f64 15/2 z)) (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) z))
(*.f64 (exp.f64 (neg.f64 (-.f64 15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))
(*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))
(/.f64 (*.f64 (exp.f64 z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 15/2))
(*.f64 (exp.f64 (neg.f64 (-.f64 15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))
(*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))
(/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 z)) (exp.f64 15/2))
(*.f64 (exp.f64 (neg.f64 (-.f64 15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))
(*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))
(/.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (sqrt.f64 (-.f64 15/2 z))) (pow.f64 (-.f64 15/2 z) z))
(*.f64 (exp.f64 (neg.f64 (-.f64 15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))
(*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))
(pow.f64 (exp.f64 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) (+.f64 z -15/2))) 1)
(*.f64 (exp.f64 (neg.f64 (-.f64 15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))
(*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))
(pow.f64 (pow.f64 (exp.f64 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) (+.f64 z -15/2))) 2) 1/2)
(*.f64 (exp.f64 (neg.f64 (-.f64 15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))
(*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))
(pow.f64 (pow.f64 (exp.f64 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) (+.f64 z -15/2))) 3) 1/3)
(*.f64 (exp.f64 (neg.f64 (-.f64 15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))
(*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))
(pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) (+.f64 z -15/2)))) 3)
(*.f64 (exp.f64 (neg.f64 (-.f64 15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))
(*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))
(pow.f64 (sqrt.f64 (exp.f64 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) (+.f64 z -15/2)))) 2)
(*.f64 (exp.f64 (neg.f64 (-.f64 15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))
(*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))
(sqrt.f64 (pow.f64 (exp.f64 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) (+.f64 z -15/2))) 2))
(*.f64 (exp.f64 (neg.f64 (-.f64 15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))
(*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))
(log.f64 (pow.f64 (exp.f64 (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))
(*.f64 (exp.f64 (neg.f64 (-.f64 15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))
(*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) (+.f64 z -15/2))))))
(*.f64 (exp.f64 (neg.f64 (-.f64 15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))
(*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))
(cbrt.f64 (pow.f64 (exp.f64 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) (+.f64 z -15/2))) 3))
(*.f64 (exp.f64 (neg.f64 (-.f64 15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))
(*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))
(expm1.f64 (log1p.f64 (exp.f64 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) (+.f64 z -15/2)))))
(*.f64 (exp.f64 (neg.f64 (-.f64 15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))
(*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))
(log1p.f64 (expm1.f64 (exp.f64 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) (+.f64 z -15/2)))))
(*.f64 (exp.f64 (neg.f64 (-.f64 15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))
(*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))
(exp.f64 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) (+.f64 z -15/2)))
(*.f64 (exp.f64 (neg.f64 (-.f64 15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))
(*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))
(exp.f64 (*.f64 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) (+.f64 z -15/2)) 1))
(*.f64 (exp.f64 (neg.f64 (-.f64 15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))
(*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))

localize201.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.0b	(+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))
	1.0b	(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))
✓	1.0b	(sqrt.f64 (PI.f64))
	1.1b	(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))

Compiler

Compiled 509 to 387 computations (24% saved)

series0.0ms (0%)

Counts: 1 → 0

rewrite73.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

379×	`expm1-udef_binary64`
379×	`log1p-udef_binary64`
271×	`associate-r_binary64`
258×	`associate-l_binary64`
250×	`pow1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	4
1	59	4
2	667	4
3	7066	4

Stop Event

1×	node limit

Counts

1 → 57

Calls

Call 1

Inputs
(sqrt.f64 (PI.f64))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (sqrt.f64 (PI.f64)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (PI.f64))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (PI.f64)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sqrt.f64 (PI.f64)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (PI.f64) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) 1/6)) (cbrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (cbrt.f64 (pow.f64 (PI.f64) 5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (pow.f64 (pow.f64 (PI.f64) 5/6) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4)) (cbrt.f64 (pow.f64 (PI.f64) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (PI.f64)) 1/6) (*.f64 (pow.f64 (sqrt.f64 (PI.f64)) 1/6) (cbrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (PI.f64) 1/6) (cbrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (PI.f64) 1/8) (sqrt.f64 (pow.f64 (PI.f64) 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (PI.f64) 1/8) (pow.f64 (pow.f64 (PI.f64) 3/4) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (PI.f64) 1/8) (*.f64 (pow.f64 (PI.f64) 1/8) (pow.f64 (PI.f64) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (PI.f64) 1/8)) (pow.f64 (PI.f64) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (PI.f64) 5/4)) (pow.f64 (sqrt.f64 (PI.f64)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (PI.f64) 5/6)) (pow.f64 (sqrt.f64 (PI.f64)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (PI.f64) 3/4)) (pow.f64 (PI.f64) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (PI.f64) 3/4) 1/2) (pow.f64 (PI.f64) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (PI.f64) 5/6) 1/2) (pow.f64 (sqrt.f64 (PI.f64)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4) 1/3) (cbrt.f64 (pow.f64 (PI.f64) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (PI.f64) 5/4) 1/3) (pow.f64 (sqrt.f64 (PI.f64)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (PI.f64) 1/6)) (pow.f64 (sqrt.f64 (PI.f64)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (cbrt.f64 (PI.f64)))) (cbrt.f64 (pow.f64 (PI.f64) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (sqrt.f64 (PI.f64)) 1/6)) (pow.f64 (sqrt.f64 (PI.f64)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (PI.f64) 1/6) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2)) (cbrt.f64 (cbrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 (sqrt.f64 (PI.f64)) 1) 3) 1) (+.f64 (*.f64 (+.f64 (sqrt.f64 (PI.f64)) 1) (+.f64 (sqrt.f64 (PI.f64)) 1)) (+.f64 1 (+.f64 (sqrt.f64 (PI.f64)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 (sqrt.f64 (PI.f64)) 1) (+.f64 (sqrt.f64 (PI.f64)) 1)) 1) (+.f64 (+.f64 (sqrt.f64 (PI.f64)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (PI.f64) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (PI.f64) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (PI.f64) 3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (PI.f64) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (PI.f64)) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (PI.f64) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/2) (log.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (PI.f64) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (PI.f64)))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (PI.f64))))) (sqrt.f64 (log.f64 (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (neg.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (-.f64 1 (+.f64 (sqrt.f64 (PI.f64)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (PI.f64) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (PI.f64)) 3/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/4 (log.f64 (PI.f64))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (PI.f64) 1/6)) 3))))))

simplify50.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

707×	`fma-neg_binary64`
548×	`times-frac_binary64`
430×	`associate-l_binary64`
425×	`associate-r_binary64`
321×	`fabs-mul_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	144	535
1	329	523
2	937	499
3	4576	496

Stop Event

1×	node limit

Counts

57 → 78

Calls

Call 1

Inputs
(+.f64 (+.f64 (sqrt.f64 (PI.f64)) 1) -1)
(+.f64 0 (sqrt.f64 (PI.f64)))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (PI.f64))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (PI.f64))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (PI.f64)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (PI.f64))))))
(-.f64 (+.f64 (sqrt.f64 (PI.f64)) 1) 1)
(*.f64 (sqrt.f64 (PI.f64)) 1)
(*.f64 1 (sqrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) 1/6))
(*.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (PI.f64) 1/4))
(.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (.f64 (cbrt.f64 (pow.f64 (PI.f64) 1/6)) (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (cbrt.f64 (pow.f64 (PI.f64) 5/6)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (pow.f64 (pow.f64 (PI.f64) 5/6) 1/3))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) 1/6)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4)) (cbrt.f64 (pow.f64 (PI.f64) 1/6)))
(.f64 (pow.f64 (sqrt.f64 (PI.f64)) 1/6) (.f64 (pow.f64 (sqrt.f64 (PI.f64)) 1/6) (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) 1/6) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (PI.f64) 1/8) (sqrt.f64 (pow.f64 (PI.f64) 3/4)))
(*.f64 (pow.f64 (PI.f64) 1/8) (pow.f64 (pow.f64 (PI.f64) 3/4) 1/2))
(.f64 (pow.f64 (PI.f64) 1/8) (.f64 (pow.f64 (PI.f64) 1/8) (pow.f64 (PI.f64) 1/4)))
(.f64 (.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (PI.f64) 1/8)) (pow.f64 (PI.f64) 1/8))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 5/4)) (pow.f64 (sqrt.f64 (PI.f64)) 1/6))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) 5/6)) (pow.f64 (sqrt.f64 (PI.f64)) 1/6))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3/4)) (pow.f64 (PI.f64) 1/8))
(*.f64 (pow.f64 1 1/3) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) 3/4) 1/2) (pow.f64 (PI.f64) 1/8))
(*.f64 (pow.f64 (pow.f64 (PI.f64) 5/6) 1/2) (pow.f64 (sqrt.f64 (PI.f64)) 1/6))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4) 1/3) (cbrt.f64 (pow.f64 (PI.f64) 1/6)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) 5/4) 1/3) (pow.f64 (sqrt.f64 (PI.f64)) 1/6))
(.f64 (.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (PI.f64) 1/6)) (pow.f64 (sqrt.f64 (PI.f64)) 1/6))
(.f64 (.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (cbrt.f64 (PI.f64)))) (cbrt.f64 (pow.f64 (PI.f64) 1/6)))
(.f64 (.f64 (cbrt.f64 (PI.f64)) (pow.f64 (sqrt.f64 (PI.f64)) 1/6)) (pow.f64 (sqrt.f64 (PI.f64)) 1/6))
(.f64 (.f64 (pow.f64 (PI.f64) 1/6) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(/.f64 (-.f64 (pow.f64 (+.f64 (sqrt.f64 (PI.f64)) 1) 3) 1) (+.f64 (*.f64 (+.f64 (sqrt.f64 (PI.f64)) 1) (+.f64 (sqrt.f64 (PI.f64)) 1)) (+.f64 1 (+.f64 (sqrt.f64 (PI.f64)) 1))))
(/.f64 (-.f64 (*.f64 (+.f64 (sqrt.f64 (PI.f64)) 1) (+.f64 (sqrt.f64 (PI.f64)) 1)) 1) (+.f64 (+.f64 (sqrt.f64 (PI.f64)) 1) 1))
(pow.f64 (PI.f64) 1/2)
(pow.f64 (sqrt.f64 (PI.f64)) 1)
(pow.f64 (pow.f64 (PI.f64) 2) 1/4)
(pow.f64 (pow.f64 (PI.f64) 3) 1/6)
(pow.f64 (pow.f64 (PI.f64) 3/2) 1/3)
(pow.f64 (cbrt.f64 (PI.f64)) 3/2)
(pow.f64 (pow.f64 (PI.f64) 1/4) 2)
(pow.f64 (exp.f64 1/2) (log.f64 (PI.f64)))
(pow.f64 (E.f64) (log.f64 (sqrt.f64 (PI.f64))))
(pow.f64 (pow.f64 (PI.f64) 1/6) 3)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (PI.f64)))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (PI.f64)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (PI.f64))))) (sqrt.f64 (log.f64 (sqrt.f64 (PI.f64)))))
(fabs.f64 (sqrt.f64 (PI.f64)))
(fabs.f64 (neg.f64 (sqrt.f64 (PI.f64))))
(fabs.f64 (-.f64 1 (+.f64 (sqrt.f64 (PI.f64)) 1)))
(log.f64 (exp.f64 (sqrt.f64 (PI.f64))))
(cbrt.f64 (pow.f64 (PI.f64) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))
(log1p.f64 (expm1.f64 (sqrt.f64 (PI.f64))))
(exp.f64 (log.f64 (sqrt.f64 (PI.f64))))
(exp.f64 (.f64 (.f64 (log.f64 (PI.f64)) 3/2) 1/3))
(exp.f64 (.f64 (.f64 1/4 (log.f64 (PI.f64))) 2))
(exp.f64 (*.f64 (log.f64 (pow.f64 (PI.f64) 1/6)) 3))

Outputs
(+.f64 (+.f64 (sqrt.f64 (PI.f64)) 1) -1)
(sqrt.f64 (PI.f64))
(+.f64 0 (sqrt.f64 (PI.f64)))
(sqrt.f64 (PI.f64))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (PI.f64))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (PI.f64))))))
(sqrt.f64 (PI.f64))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (PI.f64)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (PI.f64))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (PI.f64)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (PI.f64))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (PI.f64))))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (PI.f64))))) 3)
(-.f64 (+.f64 (sqrt.f64 (PI.f64)) 1) 1)
(sqrt.f64 (PI.f64))
(*.f64 (sqrt.f64 (PI.f64)) 1)
(sqrt.f64 (PI.f64))
(*.f64 1 (sqrt.f64 (PI.f64)))
(sqrt.f64 (PI.f64))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) 1/6))
(sqrt.f64 (PI.f64))
(*.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (PI.f64) 1/4))
(sqrt.f64 (PI.f64))
(.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (.f64 (cbrt.f64 (pow.f64 (PI.f64) 1/6)) (cbrt.f64 (PI.f64))))
(.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 (PI.f64) 1/6))))
(.f64 (cbrt.f64 (PI.f64)) (.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (cbrt.f64 (pow.f64 (PI.f64) 1/6))))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 1/6)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 4))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (cbrt.f64 (pow.f64 (PI.f64) 5/6)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (pow.f64 (pow.f64 (PI.f64) 5/6) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (cbrt.f64 (pow.f64 (PI.f64) 5/6)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) 1/6)))
(sqrt.f64 (PI.f64))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4)) (cbrt.f64 (pow.f64 (PI.f64) 1/6)))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 1/6)) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4)))
(.f64 (pow.f64 (sqrt.f64 (PI.f64)) 1/6) (.f64 (pow.f64 (sqrt.f64 (PI.f64)) 1/6) (cbrt.f64 (PI.f64))))
(sqrt.f64 (PI.f64))
(*.f64 (pow.f64 (PI.f64) 1/6) (cbrt.f64 (PI.f64)))
(sqrt.f64 (PI.f64))
(*.f64 (pow.f64 (PI.f64) 1/8) (sqrt.f64 (pow.f64 (PI.f64) 3/4)))
(*.f64 (pow.f64 (PI.f64) 1/8) (pow.f64 (PI.f64) 3/8))
(*.f64 (pow.f64 (PI.f64) 1/8) (pow.f64 (pow.f64 (PI.f64) 3/4) 1/2))
(*.f64 (pow.f64 (PI.f64) 1/8) (sqrt.f64 (pow.f64 (PI.f64) 3/4)))
(*.f64 (pow.f64 (PI.f64) 1/8) (pow.f64 (PI.f64) 3/8))
(.f64 (pow.f64 (PI.f64) 1/8) (.f64 (pow.f64 (PI.f64) 1/8) (pow.f64 (PI.f64) 1/4)))
(sqrt.f64 (PI.f64))
(.f64 (.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (PI.f64) 1/8)) (pow.f64 (PI.f64) 1/8))
(sqrt.f64 (PI.f64))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 5/4)) (pow.f64 (sqrt.f64 (PI.f64)) 1/6))
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) 1/6) (cbrt.f64 (pow.f64 (PI.f64) 5/4)))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) 5/6)) (pow.f64 (sqrt.f64 (PI.f64)) 1/6))
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) 1/6) (sqrt.f64 (pow.f64 (PI.f64) 5/6)))
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) 1/6) (pow.f64 (PI.f64) 5/12))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3/4)) (pow.f64 (PI.f64) 1/8))
(*.f64 (pow.f64 (PI.f64) 1/8) (sqrt.f64 (pow.f64 (PI.f64) 3/4)))
(*.f64 (pow.f64 (PI.f64) 1/8) (pow.f64 (PI.f64) 3/8))
(*.f64 (pow.f64 1 1/3) (sqrt.f64 (PI.f64)))
(sqrt.f64 (PI.f64))
(*.f64 (pow.f64 (pow.f64 (PI.f64) 3/4) 1/2) (pow.f64 (PI.f64) 1/8))
(*.f64 (pow.f64 (PI.f64) 1/8) (sqrt.f64 (pow.f64 (PI.f64) 3/4)))
(*.f64 (pow.f64 (PI.f64) 1/8) (pow.f64 (PI.f64) 3/8))
(*.f64 (pow.f64 (pow.f64 (PI.f64) 5/6) 1/2) (pow.f64 (sqrt.f64 (PI.f64)) 1/6))
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) 1/6) (sqrt.f64 (pow.f64 (PI.f64) 5/6)))
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) 1/6) (pow.f64 (PI.f64) 5/12))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4) 1/3) (cbrt.f64 (pow.f64 (PI.f64) 1/6)))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 1/6)) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) 5/4) 1/3) (pow.f64 (sqrt.f64 (PI.f64)) 1/6))
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) 1/6) (cbrt.f64 (pow.f64 (PI.f64) 5/4)))
(.f64 (.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (PI.f64) 1/6)) (pow.f64 (sqrt.f64 (PI.f64)) 1/6))
(.f64 (pow.f64 (PI.f64) 1/4) (.f64 (pow.f64 (PI.f64) 1/6) (pow.f64 (sqrt.f64 (PI.f64)) 1/6)))
(.f64 (pow.f64 (sqrt.f64 (PI.f64)) 1/6) (.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) 1/12)))
(.f64 (.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (cbrt.f64 (PI.f64)))) (cbrt.f64 (pow.f64 (PI.f64) 1/6)))
(.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 (PI.f64) 1/6))))
(.f64 (cbrt.f64 (PI.f64)) (.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (cbrt.f64 (pow.f64 (PI.f64) 1/6))))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 1/6)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 4))
(.f64 (.f64 (cbrt.f64 (PI.f64)) (pow.f64 (sqrt.f64 (PI.f64)) 1/6)) (pow.f64 (sqrt.f64 (PI.f64)) 1/6))
(sqrt.f64 (PI.f64))
(.f64 (.f64 (pow.f64 (PI.f64) 1/6) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(sqrt.f64 (PI.f64))
(/.f64 (-.f64 (pow.f64 (+.f64 (sqrt.f64 (PI.f64)) 1) 3) 1) (+.f64 (*.f64 (+.f64 (sqrt.f64 (PI.f64)) 1) (+.f64 (sqrt.f64 (PI.f64)) 1)) (+.f64 1 (+.f64 (sqrt.f64 (PI.f64)) 1))))
(/.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 (PI.f64)) 1) 3) -1) (fma.f64 (+.f64 (sqrt.f64 (PI.f64)) 1) (+.f64 (sqrt.f64 (PI.f64)) 1) (+.f64 (sqrt.f64 (PI.f64)) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (sqrt.f64 (PI.f64)) 1) 3)) (fma.f64 (+.f64 (sqrt.f64 (PI.f64)) 1) (+.f64 (sqrt.f64 (PI.f64)) 1) (+.f64 (sqrt.f64 (PI.f64)) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (sqrt.f64 (PI.f64)) 1) 3)) (+.f64 1 (*.f64 (+.f64 (sqrt.f64 (PI.f64)) 1) (+.f64 (sqrt.f64 (PI.f64)) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (sqrt.f64 (PI.f64)) 1) 3)) (fma.f64 (+.f64 (sqrt.f64 (PI.f64)) 1) (+.f64 (sqrt.f64 (PI.f64)) 2) 1))
(/.f64 (-.f64 (*.f64 (+.f64 (sqrt.f64 (PI.f64)) 1) (+.f64 (sqrt.f64 (PI.f64)) 1)) 1) (+.f64 (+.f64 (sqrt.f64 (PI.f64)) 1) 1))
(/.f64 (*.f64 (+.f64 (sqrt.f64 (PI.f64)) 2) (sqrt.f64 (PI.f64))) (+.f64 (sqrt.f64 (PI.f64)) 2))
(/.f64 (+.f64 (sqrt.f64 (PI.f64)) 2) (/.f64 (+.f64 (sqrt.f64 (PI.f64)) 2) (sqrt.f64 (PI.f64))))
(/.f64 (+.f64 (PI.f64) (*.f64 2 (sqrt.f64 (PI.f64)))) (+.f64 (sqrt.f64 (PI.f64)) 2))
(pow.f64 (PI.f64) 1/2)
(sqrt.f64 (PI.f64))
(pow.f64 (sqrt.f64 (PI.f64)) 1)
(sqrt.f64 (PI.f64))
(pow.f64 (pow.f64 (PI.f64) 2) 1/4)
(sqrt.f64 (PI.f64))
(pow.f64 (pow.f64 (PI.f64) 3) 1/6)
(pow.f64 (pow.f64 (PI.f64) 3/2) 1/3)
(sqrt.f64 (PI.f64))
(pow.f64 (cbrt.f64 (PI.f64)) 3/2)
(sqrt.f64 (PI.f64))
(pow.f64 (pow.f64 (PI.f64) 1/4) 2)
(sqrt.f64 (PI.f64))
(pow.f64 (exp.f64 1/2) (log.f64 (PI.f64)))
(sqrt.f64 (PI.f64))
(pow.f64 (E.f64) (log.f64 (sqrt.f64 (PI.f64))))
(sqrt.f64 (PI.f64))
(pow.f64 (pow.f64 (PI.f64) 1/6) 3)
(sqrt.f64 (PI.f64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (PI.f64)))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (PI.f64)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (PI.f64))))) (sqrt.f64 (log.f64 (sqrt.f64 (PI.f64)))))
(fabs.f64 (sqrt.f64 (PI.f64)))
(sqrt.f64 (PI.f64))
(fabs.f64 (neg.f64 (sqrt.f64 (PI.f64))))
(sqrt.f64 (PI.f64))
(fabs.f64 (-.f64 1 (+.f64 (sqrt.f64 (PI.f64)) 1)))
(sqrt.f64 (PI.f64))
(log.f64 (exp.f64 (sqrt.f64 (PI.f64))))
(sqrt.f64 (PI.f64))
(cbrt.f64 (pow.f64 (PI.f64) 3/2))
(sqrt.f64 (PI.f64))
(expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))
(sqrt.f64 (PI.f64))
(log1p.f64 (expm1.f64 (sqrt.f64 (PI.f64))))
(sqrt.f64 (PI.f64))
(exp.f64 (log.f64 (sqrt.f64 (PI.f64))))
(sqrt.f64 (PI.f64))
(exp.f64 (.f64 (.f64 (log.f64 (PI.f64)) 3/2) 1/3))
(sqrt.f64 (PI.f64))
(exp.f64 (.f64 (.f64 1/4 (log.f64 (PI.f64))) 2))
(sqrt.f64 (PI.f64))
(exp.f64 (*.f64 (log.f64 (pow.f64 (PI.f64) 1/6)) 3))
(sqrt.f64 (PI.f64))

eval1.3s (1.7%)

Compiler: Compiled 51443 to 39335 computations (23.5% saved)

prune271.0ms (0.4%)

Pruning

45 alts after pruning (44 fresh and 1 done)

	Pruned	Kept	Total
New	698	24	722
Fresh	7	20	27
Picked	0	1	1
Done	4	0	4
Total	709	45	754

Error

0.0b

Counts

754 → 45

Alt Table

Click to see full alt table

Status	Error	Program
	3.1b	(/.f64 (.f64 (PI.f64) (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000))))) (sin.f64 (.f64 (PI.f64) z)))
	2.6b	(.f64 (pow.f64 (PI.f64) 3/2) (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (sqrt.f64 2)))) (sin.f64 (*.f64 z (PI.f64)))))
	0.5b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (/.f64 (-.f64 1 (*.f64 (+.f64 z 1) (+.f64 z 1))) (+.f64 z 2)) 15/2) (-.f64 (-.f64 1 z) 1/2))) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7))))))
	13.6b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (neg.f64 z) 3) 1/3) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
	0.5b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2))) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2))) (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 -6765203681218851/10000000000000 (-.f64 1 z))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 -6765203681218851/10000000000000 (-.f64 1 z))))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7))))))
	1.4b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (exp.f64 (log.f64 (+.f64 (-.f64 1 z) -1))) 15/2) (-.f64 (-.f64 1 z) 1/2))) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7))))))
▶	62.6b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 4919378858736341/200000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
	2.6b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
	1.0b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
	2.2b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 39321001939258358983/90000000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
	62.4b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 (/.f64 6868447169803563/40000000000000 z) z) (/.f64 4919378858736341/200000000000000 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
	39.4b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (*.f64 z 39321001939258358983/90000000000000000) 7902188421553103227/30000000000000000)))
	2.8b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 102757979785251069442117317613/235200000000000000000000000 z))))
	2.2b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (.f64 z (fma.f64 -1 (log.f64 15/2) 14/15)) 1) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 39321001939258358983/90000000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
	2.7b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 39321001939258358983/90000000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
	0.5b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) (+.f64 z -15/2)))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
	1.4b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 (+.f64 -1 z) -13/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
	1.4b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))))))
	0.5b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (.f64 (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))
▶	0.4b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 (+.f64 (.f64 -3147848041806007/2500000000000 (+.f64 2 (-.f64 1 z))) (.f64 (+.f64 1 (-.f64 1 z)) 7713234287776531/10000000000000)) (*.f64 (+.f64 1 (-.f64 1 z)) (+.f64 2 (-.f64 1 z))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
▶	2.0b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 (*.f64 -5154349522119383/22500000000000 z) 11173853963059511/30000000000000)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
	0.4b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (expm1.f64 (log1p.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 (+.f64 (.f64 -3147848041806007/2500000000000 (+.f64 2 (-.f64 1 z))) (.f64 (+.f64 1 (-.f64 1 z)) 7713234287776531/10000000000000)) (*.f64 (+.f64 1 (-.f64 1 z)) (+.f64 2 (-.f64 1 z))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
	0.5b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (expm1.f64 (log1p.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
▶	55.0b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 9999999999998099/10000000000000000 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))))))
▶	3.2b	(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2))))
	3.2b	(.f64 (+.f64 (.f64 1/6 (.f64 z (pow.f64 (PI.f64) 2))) (/.f64 1 z)) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2))))
	1.4b	(.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
✓	1.4b	(.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
	0.7b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 (.f64 6765203681218851/10000000000000 (-.f64 2 z)) (.f64 (-.f64 1 z) -3147848041806007/2500000000000)) (.f64 (-.f64 1 z) (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
	62.7b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 -15176929548346663410362579/25000000000000000000000 z)) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
	0.8b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
	63.7b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -10432597066258314615852833/6250000000000000000000 (.f64 z z)) (/.f64 -15176929548346663410362579/25000000000000000000000 z))) (.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
	2.7b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
	2.1b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 904816194325545171523082059/4200000000000000000000000 (.f64 z (+.f64 17677775146260978562117317613/235200000000000000000000000 (.f64 z 3071077024184708161128044520019/118540800000000000000000000000))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
	2.4b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 904816194325545171523082059/4200000000000000000000000 (.f64 z 17677775146260978562117317613/235200000000000000000000000))) (.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
	2.1b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (expm1.f64 (log1p.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
	2.8b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 904816194325545171523082059/4200000000000000000000000) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
	2.5b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 z))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
	3.1b	(.f64 (PI.f64) (/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 15 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))) (sin.f64 (*.f64 z (PI.f64)))))
	2.5b	(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (pow.f64 (PI.f64) 3))) (sin.f64 (*.f64 z (PI.f64)))))
	2.9b	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
	2.7b	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (sqrt.f64 15/2)) (exp.f64 -15/2))) (sqrt.f64 (PI.f64))))
	2.7b	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
	48.6b	(sqrt.f64 (.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) 2) (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))))
	48.6b	(sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 15 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)) (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) 2))))

Compiler

Compiled 5140 to 4278 computations (16.8% saved)

localize245.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.0b	(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))
✓	1.0b	(.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 (+.f64 (.f64 -3147848041806007/2500000000000 (+.f64 2 (-.f64 1 z))) (.f64 (+.f64 1 (-.f64 1 z)) 7713234287776531/10000000000000)) (*.f64 (+.f64 1 (-.f64 1 z)) (+.f64 2 (-.f64 1 z))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))
	1.0b	(/.f64 (+.f64 (.f64 -3147848041806007/2500000000000 (+.f64 2 (-.f64 1 z))) (.f64 (+.f64 1 (-.f64 1 z)) 7713234287776531/10000000000000)) (*.f64 (+.f64 1 (-.f64 1 z)) (+.f64 2 (-.f64 1 z))))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 728 to 604 computations (17% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

(*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 (+.f64 (*.f64 -3147848041806007/2500000000000 (+.f64 2 (-.f64 1 z))) (*.f64 (+.f64 1 (-.f64 1 z)) 7713234287776531/10000000000000)) (*.f64 (+.f64 1 (-.f64 1 z)) (+.f64 2 (-.f64 1 z))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))

0.0ms

-inf

(*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 (+.f64 (*.f64 -3147848041806007/2500000000000 (+.f64 2 (-.f64 1 z))) (*.f64 (+.f64 1 (-.f64 1 z)) 7713234287776531/10000000000000)) (*.f64 (+.f64 1 (-.f64 1 z)) (+.f64 2 (-.f64 1 z))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))

0.0ms

inf

(*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 (+.f64 (*.f64 -3147848041806007/2500000000000 (+.f64 2 (-.f64 1 z))) (*.f64 (+.f64 1 (-.f64 1 z)) 7713234287776531/10000000000000)) (*.f64 (+.f64 1 (-.f64 1 z)) (+.f64 2 (-.f64 1 z))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))

rewrite69.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

665×	`add-log-exp_binary64`
664×	`log1p-expm1-u_binary64`
664×	`expm1-log1p-u_binary64`
663×	`add-cbrt-cube_binary64`
663×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	118
1	1359	118

Stop Event

1×	node limit

Counts

1 → 8

Calls

Call 1

Inputs

(*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 (+.f64 (*.f64 -3147848041806007/2500000000000 (+.f64 2 (-.f64 1 z))) (*.f64 (+.f64 1 (-.f64 1 z)) 7713234287776531/10000000000000)) (*.f64 (+.f64 1 (-.f64 1 z)) (+.f64 2 (-.f64 1 z))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 (fma.f64 -3147848041806007/2500000000000 (-.f64 3 z) (*.f64 (-.f64 2 z) 7713234287776531/10000000000000)) (*.f64 (-.f64 3 z) (-.f64 2 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 (fma.f64 -3147848041806007/2500000000000 (-.f64 3 z) (*.f64 (-.f64 2 z) 7713234287776531/10000000000000)) (*.f64 (-.f64 3 z) (-.f64 2 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5)))))))) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 (fma.f64 -3147848041806007/2500000000000 (-.f64 3 z) (*.f64 (-.f64 2 z) 7713234287776531/10000000000000)) (*.f64 (-.f64 3 z) (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 (fma.f64 -3147848041806007/2500000000000 (-.f64 3 z) (*.f64 (-.f64 2 z) 7713234287776531/10000000000000)) (*.f64 (-.f64 3 z) (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 (fma.f64 -3147848041806007/2500000000000 (-.f64 3 z) (*.f64 (-.f64 2 z) 7713234287776531/10000000000000)) (*.f64 (-.f64 3 z) (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 (fma.f64 -3147848041806007/2500000000000 (-.f64 3 z) (*.f64 (-.f64 2 z) 7713234287776531/10000000000000)) (*.f64 (-.f64 3 z) (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 (fma.f64 -3147848041806007/2500000000000 (-.f64 3 z) (*.f64 (-.f64 2 z) 7713234287776531/10000000000000)) (*.f64 (-.f64 3 z) (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 (fma.f64 -3147848041806007/2500000000000 (-.f64 3 z) (*.f64 (-.f64 2 z) 7713234287776531/10000000000000)) (*.f64 (-.f64 3 z) (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 (fma.f64 -3147848041806007/2500000000000 (-.f64 3 z) (*.f64 (-.f64 2 z) 7713234287776531/10000000000000)) (*.f64 (-.f64 3 z) (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 (fma.f64 -3147848041806007/2500000000000 (-.f64 3 z) (*.f64 (-.f64 2 z) 7713234287776531/10000000000000)) (*.f64 (-.f64 3 z) (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))))))

simplify59.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

785×	`associate-+l+_binary64`
710×	`associate-+r+_binary64`
419×	`*-commutative_binary64`
381×	`times-frac_binary64`
289×	`+-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	185	1831
1	585	1702
2	2391	1559

Stop Event

1×	node limit

Counts

20 → 44

Calls

Call 1

Inputs
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))
(+.f64 (.f64 (+.f64 (.f64 (sqrt.f64 15/2) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))))) z) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))
(+.f64 (.f64 (+.f64 (.f64 (sqrt.f64 15/2) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))))) z) (+.f64 (.f64 (pow.f64 z 2) (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (sqrt.f64 15/2) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2))))) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (sqrt.f64 15/2)))) (.f64 (+.f64 (.f64 1106209385320415913103082059/8400000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)) (.f64 64608921419941589693928044520019/118540800000000000000000000000 (exp.f64 -15/2)))) (sqrt.f64 15/2))))) (.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(+.f64 (.f64 (+.f64 (.f64 (sqrt.f64 15/2) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))))) z) (+.f64 (.f64 (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (+.f64 (.f64 1106209385320415913103082059/8400000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)) (.f64 64608921419941589693928044520019/118540800000000000000000000000 (exp.f64 -15/2)))) (sqrt.f64 15/2))) (+.f64 (.f64 (sqrt.f64 15/2) (+.f64 (.f64 1106209385320415913103082059/25200000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 4027292589444183035165374538123333/6638284800000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 102757979785251069442117317613/470400000000000000000000000 (exp.f64 -15/2)) (.f64 64608921419941589693928044520019/118540800000000000000000000000 (exp.f64 -15/2)))))) (+.f64 (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (.f64 (sqrt.f64 15/2) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2))))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (+.f64 (.f64 29/225 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15)) (+.f64 86/10125 (.f64 1/6 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 3)))))))))) (pow.f64 z 3)) (+.f64 (.f64 (pow.f64 z 2) (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (sqrt.f64 15/2) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2))))) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (sqrt.f64 15/2)))) (.f64 (+.f64 (.f64 1106209385320415913103082059/8400000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)) (.f64 64608921419941589693928044520019/118540800000000000000000000000 (exp.f64 -15/2)))) (sqrt.f64 15/2))))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))))
(.f64 9999999999998099/10000000000000000 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))))
(+.f64 (.f64 9999999999998099/10000000000000000 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (.f64 -611458333333720910362579/25000000000000000000000 (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))) z)))
(+.f64 (.f64 9999999999998099/10000000000000000 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (.f64 -611458333333720910362579/25000000000000000000000 (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))) z)) (.f64 1078390842009938509147167/6250000000000000000000 (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))) (pow.f64 z 2)))))
(+.f64 (.f64 9999999999998099/10000000000000000 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (.f64 -611458333333720910362579/25000000000000000000000 (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))) z)) (+.f64 (.f64 -398308844029173303716389/6250000000000000000000 (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))) (pow.f64 z 3))) (.f64 1078390842009938509147167/6250000000000000000000 (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))) (pow.f64 z 2))))))
(.f64 9999999999998099/10000000000000000 (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2)))))
(+.f64 (.f64 -611458333333720910362579/25000000000000000000000 (/.f64 (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2)))) z)) (.f64 9999999999998099/10000000000000000 (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))))))
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(+.f64 (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 (fma.f64 -3147848041806007/2500000000000 (-.f64 3 z) (.f64 (-.f64 2 z) 7713234287776531/10000000000000)) (.f64 (-.f64 3 z) (-.f64 2 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))))
(+.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 (fma.f64 -3147848041806007/2500000000000 (-.f64 3 z) (.f64 (-.f64 2 z) 7713234287776531/10000000000000)) (.f64 (-.f64 3 z) (-.f64 2 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5)))))))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))
(pow.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 (fma.f64 -3147848041806007/2500000000000 (-.f64 3 z) (.f64 (-.f64 2 z) 7713234287776531/10000000000000)) (.f64 (-.f64 3 z) (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))) 1)
(log.f64 (exp.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 (fma.f64 -3147848041806007/2500000000000 (-.f64 3 z) (.f64 (-.f64 2 z) 7713234287776531/10000000000000)) (.f64 (-.f64 3 z) (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))
(cbrt.f64 (.f64 (.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 (fma.f64 -3147848041806007/2500000000000 (-.f64 3 z) (.f64 (-.f64 2 z) 7713234287776531/10000000000000)) (.f64 (-.f64 3 z) (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 (fma.f64 -3147848041806007/2500000000000 (-.f64 3 z) (.f64 (-.f64 2 z) 7713234287776531/10000000000000)) (.f64 (-.f64 3 z) (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 (fma.f64 -3147848041806007/2500000000000 (-.f64 3 z) (.f64 (-.f64 2 z) 7713234287776531/10000000000000)) (.f64 (-.f64 3 z) (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))
(expm1.f64 (log1p.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 (fma.f64 -3147848041806007/2500000000000 (-.f64 3 z) (.f64 (-.f64 2 z) 7713234287776531/10000000000000)) (.f64 (-.f64 3 z) (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))
(log1p.f64 (expm1.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 (fma.f64 -3147848041806007/2500000000000 (-.f64 3 z) (.f64 (-.f64 2 z) 7713234287776531/10000000000000)) (.f64 (-.f64 3 z) (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))
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Outputs
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))
(.f64 (exp.f64 -15/2) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)))
(.f64 (sqrt.f64 15/2) (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))
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(expm1.f64 (log1p.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 (fma.f64 -3147848041806007/2500000000000 (-.f64 3 z) (.f64 (-.f64 2 z) 7713234287776531/10000000000000)) (.f64 (-.f64 3 z) (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))
(.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 (fma.f64 -3147848041806007/2500000000000 (-.f64 3 z) (.f64 (-.f64 2 z) 7713234287776531/10000000000000)) (.f64 (-.f64 3 z) (-.f64 2 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 (fma.f64 -3147848041806007/2500000000000 (-.f64 3 z) (.f64 (-.f64 2 z) 7713234287776531/10000000000000)) (.f64 (-.f64 3 z) (-.f64 2 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 (fma.f64 -3147848041806007/2500000000000 (-.f64 3 z) (.f64 (-.f64 2 z) 7713234287776531/10000000000000)) (.f64 (-.f64 3 z) (-.f64 2 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))))))
(log1p.f64 (expm1.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 (fma.f64 -3147848041806007/2500000000000 (-.f64 3 z) (.f64 (-.f64 2 z) 7713234287776531/10000000000000)) (.f64 (-.f64 3 z) (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))
(.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 (fma.f64 -3147848041806007/2500000000000 (-.f64 3 z) (.f64 (-.f64 2 z) 7713234287776531/10000000000000)) (.f64 (-.f64 3 z) (-.f64 2 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 (fma.f64 -3147848041806007/2500000000000 (-.f64 3 z) (.f64 (-.f64 2 z) 7713234287776531/10000000000000)) (.f64 (-.f64 3 z) (-.f64 2 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 (fma.f64 -3147848041806007/2500000000000 (-.f64 3 z) (.f64 (-.f64 2 z) 7713234287776531/10000000000000)) (.f64 (-.f64 3 z) (-.f64 2 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))))))
(exp.f64 (log.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 (fma.f64 -3147848041806007/2500000000000 (-.f64 3 z) (.f64 (-.f64 2 z) 7713234287776531/10000000000000)) (.f64 (-.f64 3 z) (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))
(.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 (fma.f64 -3147848041806007/2500000000000 (-.f64 3 z) (.f64 (-.f64 2 z) 7713234287776531/10000000000000)) (.f64 (-.f64 3 z) (-.f64 2 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 (fma.f64 -3147848041806007/2500000000000 (-.f64 3 z) (.f64 (-.f64 2 z) 7713234287776531/10000000000000)) (.f64 (-.f64 3 z) (-.f64 2 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 (fma.f64 -3147848041806007/2500000000000 (-.f64 3 z) (.f64 (-.f64 2 z) 7713234287776531/10000000000000)) (.f64 (-.f64 3 z) (-.f64 2 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))))))

localize29.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2))))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 61 to 54 computations (11.5% saved)

series3.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

inf

(*.f64 (/.f64 1 z) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2))))

1.0ms

(*.f64 (/.f64 1 z) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2))))

0.0ms

-inf

(*.f64 (/.f64 1 z) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2))))

rewrite63.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

785×	`log-prod_binary64`
388×	`pow2_binary64`
365×	`pow-unpow_binary64`
277×	`pow1/3_binary64`
271×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	23
1	343	21
2	3896	21

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

Inputs
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 z (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 z (*.f64 (exp.f64 -15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (exp.f64 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1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) -1) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15)))) (pow.f64 z -2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) 3) (pow.f64 z 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 1 z) 3) (pow.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) 3) (pow.f64 (/.f64 1 z) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 z (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15)))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15)))) (pow.f64 z -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) 3) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1 z) 3) (pow.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) 3) (pow.f64 (/.f64 1 z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)) 1))))))

simplify57.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

700×	`log-prod_binary64`
477×	`associate-l_binary64`
470×	`times-frac_binary64`
446×	`associate-r_binary64`
274×	`log-div_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	117	1050
1	257	919
2	802	919
3	5338	917

Stop Event

1×	node limit

Counts

49 → 62

Calls

Call 1

Inputs
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(+.f64 0 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z))) 1)
(/.f64 1 (/.f64 z (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15)))))))
(/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 z (.f64 (exp.f64 -15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)))))
(/.f64 (.f64 (exp.f64 -15/2) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2))) (/.f64 z (sqrt.f64 (*.f64 (PI.f64) 2))))
(/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)
(/.f64 (cbrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) (/.f64 z (cbrt.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))))))
(/.f64 (sqrt.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15)))))) (/.f64 z (sqrt.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))))))
(/.f64 (.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 1106209385320415913103082059/4200000000000000000000000) (exp.f64 -15/2)) (/.f64 z (sqrt.f64 15/2)))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15)))))) (neg.f64 z))
(/.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) (sqrt.f64 z)) (sqrt.f64 z))
(/.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) 1) z)
(/.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(/.f64 (.f64 -1 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15)))))) (neg.f64 z))
(/.f64 (.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) -1) (neg.f64 z))
(pow.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z) 1)
(pow.f64 (.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15)))) (pow.f64 z -2)) 1/2)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)) 3)
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)) 2)
(pow.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) 3) (pow.f64 z 3)) 1/3)
(pow.f64 (.f64 (pow.f64 (/.f64 1 z) 3) (pow.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) 3)) 1/3)
(pow.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) 3) (pow.f64 (/.f64 1 z) 3)) 1/3)
(pow.f64 (/.f64 z (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15)))))) -1)
(sqrt.f64 (.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15)))) (pow.f64 z -2)))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z) 3))
(cbrt.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) 3) (pow.f64 z 3)))
(cbrt.f64 (.f64 (pow.f64 (/.f64 1 z) 3) (pow.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) 3)))
(cbrt.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) 3) (pow.f64 (/.f64 1 z) 3)))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)))
(exp.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)) 1))

Outputs
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (/.f64 z (sqrt.f64 (PI.f64)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (sqrt.f64 15/2) (.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 (PI.f64)))) z))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 15/2) (.f64 (sqrt.f64 2) (exp.f64 -15/2))) (/.f64 (sqrt.f64 (PI.f64)) z)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (/.f64 z (sqrt.f64 (PI.f64)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (sqrt.f64 15/2) (.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 (PI.f64)))) z))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 15/2) (.f64 (sqrt.f64 2) (exp.f64 -15/2))) (/.f64 (sqrt.f64 (PI.f64)) z)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (/.f64 z (sqrt.f64 (PI.f64)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (sqrt.f64 15/2) (.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 (PI.f64)))) z))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 15/2) (.f64 (sqrt.f64 2) (exp.f64 -15/2))) (/.f64 (sqrt.f64 (PI.f64)) z)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (/.f64 z (sqrt.f64 (PI.f64)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (sqrt.f64 15/2) (.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 (PI.f64)))) z))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 15/2) (.f64 (sqrt.f64 2) (exp.f64 -15/2))) (/.f64 (sqrt.f64 (PI.f64)) z)))
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(pow.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z) 1)
(/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 2 (*.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)
(/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15)))) z)
(/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)
(pow.f64 (.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15)))) (pow.f64 z -2)) 1/2)
(sqrt.f64 (.f64 (.f64 2 (PI.f64)) (.f64 (.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000 (exp.f64 -15)) (pow.f64 z -2))))
(sqrt.f64 (.f64 (PI.f64) (.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15)) (pow.f64 z -2))))
(sqrt.f64 (.f64 (PI.f64) (.f64 (pow.f64 z -2) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))))
(fabs.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z))
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z) 3) 1/3)
(/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 2 (*.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)
(/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15)))) z)
(/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)) 3)
(/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 2 (*.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)
(/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15)))) z)
(/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)) 2)
(/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 2 (*.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)
(/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15)))) z)
(/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)
(pow.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) 3) (pow.f64 z 3)) 1/3)
(/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 2 (*.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)
(/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15)))) z)
(/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)
(pow.f64 (.f64 (pow.f64 (/.f64 1 z) 3) (pow.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) 3)) 1/3)
(/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 2 (*.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)
(/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15)))) z)
(/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)
(pow.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) 3) (pow.f64 (/.f64 1 z) 3)) 1/3)
(/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 2 (*.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)
(/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15)))) z)
(/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)
(pow.f64 (/.f64 z (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15)))))) -1)
(/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 2 (*.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)
(/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15)))) z)
(/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)
(sqrt.f64 (.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15)))) (pow.f64 z -2)))
(sqrt.f64 (.f64 (.f64 2 (PI.f64)) (.f64 (.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000 (exp.f64 -15)) (pow.f64 z -2))))
(sqrt.f64 (.f64 (PI.f64) (.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15)) (pow.f64 z -2))))
(sqrt.f64 (.f64 (PI.f64) (.f64 (pow.f64 z -2) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))))
(fabs.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)))
(/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 2 (*.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)
(/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15)))) z)
(/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z))))
(/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 2 (*.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)
(/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15)))) z)
(/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z) 3))
(/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 2 (*.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)
(/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15)))) z)
(/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)
(cbrt.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) 3) (pow.f64 z 3)))
(/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 2 (*.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)
(/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15)))) z)
(/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)
(cbrt.f64 (.f64 (pow.f64 (/.f64 1 z) 3) (pow.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) 3)))
(/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 2 (*.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)
(/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15)))) z)
(/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)
(cbrt.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) 3) (pow.f64 (/.f64 1 z) 3)))
(/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 2 (*.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)
(/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15)))) z)
(/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)))
(/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 2 (*.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)
(/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15)))) z)
(/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)))
(/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 2 (*.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)
(/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15)))) z)
(/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)))
(/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 2 (*.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)
(/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15)))) z)
(/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)
(exp.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)) 1))
(/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 2 (*.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)
(/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15)))) z)
(/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)

localize76.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(*.f64 (PI.f64) z)
	0.3b	(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
	1.0b	(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 118 to 79 computations (33.1% saved)

localize99.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
✓	0.3b	(/.f64 4919378858736341/200000000000000 z)
	1.0b	(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 255 to 190 computations (25.5% saved)

series1.0ms (0%)

Counts

1 → 0

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	z	@	0	(/.f64 4919378858736341/200000000000000 z)
0.0ms	z	@	-inf	(/.f64 4919378858736341/200000000000000 z)
0.0ms	z	@	inf	(/.f64 4919378858736341/200000000000000 z)

rewrite90.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

400×	`pow1_binary64`
396×	`add-sqr-sqrt_binary64`
382×	`*-un-lft-identity_binary64`
377×	`add-log-exp_binary64`
377×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	4
1	87	4
2	1025	4

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

Inputs
(/.f64 4919378858736341/200000000000000 z)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 4919378858736341/200000000000000 z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 4919378858736341/200000000000000 z)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 4919378858736341/200000000000000 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 4919378858736341/200000000000000 z))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 4919378858736341/200000000000000 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 4919378858736341/200000000000000 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4919378858736341/200000000000000 (/.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4919378858736341/200000000000000 z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 4919378858736341/200000000000000 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 4919378858736341/200000000000000 z)) (pow.f64 (cbrt.f64 (/.f64 4919378858736341/200000000000000 z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 4919378858736341/200000000000000 z)) 2) (cbrt.f64 (/.f64 4919378858736341/200000000000000 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 4919378858736341/200000000000000 z)) (sqrt.f64 (/.f64 4919378858736341/200000000000000 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -4919378858736341/200000000000000 (/.f64 1 (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 z) 4919378858736341/200000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (/.f64 4919378858736341/200000000000000 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 4919378858736341/200000000000000 z) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 4919378858736341/200000000000000 z) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 4919378858736341/200000000000000 z) 2) 4919378858736341/200000000000000) 1/3) (cbrt.f64 (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 4919378858736341/200000000000000 z) 2) (pow.f64 (cbrt.f64 (/.f64 4919378858736341/200000000000000 z)) 2)) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 4919378858736341/200000000000000 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 4919378858736341/200000000000000 z) 2) (sqrt.f64 (/.f64 4919378858736341/200000000000000 z))) 1/3) (cbrt.f64 (sqrt.f64 (/.f64 4919378858736341/200000000000000 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 4919378858736341/200000000000000) 3) (/.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 4919378858736341/200000000000000 z))) 2) 3) (cbrt.f64 (/.f64 4919378858736341/200000000000000 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 4919378858736341/200000000000000 z))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 4919378858736341/200000000000000 z))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 4919378858736341/200000000000000) 2) (/.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 z 200000000000000/4919378858736341)) 2) -1) (cbrt.f64 (/.f64 4919378858736341/200000000000000 z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 4919378858736341/200000000000000 z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 4919378858736341/200000000000000 z) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 4919378858736341/200000000000000 z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 4919378858736341/200000000000000 z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 4919378858736341/200000000000000 z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z 200000000000000/4919378858736341) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 z 200000000000000/4919378858736341) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 4919378858736341/200000000000000 z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 4919378858736341/200000000000000 z)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 4919378858736341/200000000000000 z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 4919378858736341/200000000000000 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 4919378858736341/200000000000000 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 4919378858736341/200000000000000 z)))))))

simplify40.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

454×	`associate-*l/_binary64`
380×	`associate-/l*_binary64`
379×	`associate-*r/_binary64`
297×	`log-prod_binary64`
291×	`associate-+l+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	92	242
1	216	230
2	634	220
3	2631	207

Stop Event

1×	node limit

Counts

35 → 50

Calls

Call 1

Inputs
(+.f64 0 (/.f64 4919378858736341/200000000000000 z))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 4919378858736341/200000000000000 z)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 4919378858736341/200000000000000 z)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 4919378858736341/200000000000000 z))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 4919378858736341/200000000000000 z)))))
(-.f64 (+.f64 1 (/.f64 4919378858736341/200000000000000 z)) 1)
(*.f64 4919378858736341/200000000000000 (/.f64 1 z))
(*.f64 (/.f64 4919378858736341/200000000000000 z) 1)
(*.f64 1 (/.f64 4919378858736341/200000000000000 z))
(*.f64 (cbrt.f64 (/.f64 4919378858736341/200000000000000 z)) (pow.f64 (cbrt.f64 (/.f64 4919378858736341/200000000000000 z)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 4919378858736341/200000000000000 z)) 2) (cbrt.f64 (/.f64 4919378858736341/200000000000000 z)))
(*.f64 (sqrt.f64 (/.f64 4919378858736341/200000000000000 z)) (sqrt.f64 (/.f64 4919378858736341/200000000000000 z)))
(*.f64 -4919378858736341/200000000000000 (/.f64 1 (neg.f64 z)))
(*.f64 (/.f64 1 z) 4919378858736341/200000000000000)
(*.f64 (pow.f64 1 1/3) (/.f64 4919378858736341/200000000000000 z))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 4919378858736341/200000000000000 z) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 4919378858736341/200000000000000 z) 3)) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 (/.f64 4919378858736341/200000000000000 z) 2) 4919378858736341/200000000000000) 1/3) (cbrt.f64 (/.f64 1 z)))
(.f64 (pow.f64 (.f64 (pow.f64 (/.f64 4919378858736341/200000000000000 z) 2) (pow.f64 (cbrt.f64 (/.f64 4919378858736341/200000000000000 z)) 2)) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 4919378858736341/200000000000000 z))))
(.f64 (pow.f64 (.f64 (pow.f64 (/.f64 4919378858736341/200000000000000 z) 2) (sqrt.f64 (/.f64 4919378858736341/200000000000000 z))) 1/3) (cbrt.f64 (sqrt.f64 (/.f64 4919378858736341/200000000000000 z))))
(*.f64 (pow.f64 (cbrt.f64 4919378858736341/200000000000000) 3) (/.f64 1 z))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 4919378858736341/200000000000000 z))) 2) 3) (cbrt.f64 (/.f64 4919378858736341/200000000000000 z)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 4919378858736341/200000000000000 z))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 4919378858736341/200000000000000 z))) 3))
(*.f64 (pow.f64 (sqrt.f64 4919378858736341/200000000000000) 2) (/.f64 1 z))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 z 200000000000000/4919378858736341)) 2) -1) (cbrt.f64 (/.f64 4919378858736341/200000000000000 z)))
(pow.f64 (/.f64 4919378858736341/200000000000000 z) 1)
(pow.f64 (pow.f64 (/.f64 4919378858736341/200000000000000 z) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 4919378858736341/200000000000000 z) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 4919378858736341/200000000000000 z)) 3)
(pow.f64 (sqrt.f64 (/.f64 4919378858736341/200000000000000 z)) 2)
(pow.f64 (*.f64 z 200000000000000/4919378858736341) -1)
(pow.f64 (/.f64 (*.f64 z 200000000000000/4919378858736341) 1) -1)
(sqrt.f64 (pow.f64 (/.f64 4919378858736341/200000000000000 z) 2))
(log.f64 (exp.f64 (/.f64 4919378858736341/200000000000000 z)))
(cbrt.f64 (pow.f64 (/.f64 4919378858736341/200000000000000 z) 3))
(expm1.f64 (log1p.f64 (/.f64 4919378858736341/200000000000000 z)))
(log1p.f64 (expm1.f64 (/.f64 4919378858736341/200000000000000 z)))
(exp.f64 (log.f64 (/.f64 4919378858736341/200000000000000 z)))

Outputs
(+.f64 0 (/.f64 4919378858736341/200000000000000 z))
(/.f64 4919378858736341/200000000000000 z)
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 4919378858736341/200000000000000 z)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 4919378858736341/200000000000000 z)))))
(/.f64 4919378858736341/200000000000000 z)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 4919378858736341/200000000000000 z))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 4919378858736341/200000000000000 z)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 4919378858736341/200000000000000 z))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 4919378858736341/200000000000000 z)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 4919378858736341/200000000000000 z)))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (/.f64 4919378858736341/200000000000000 z)))) 3)
(-.f64 (+.f64 1 (/.f64 4919378858736341/200000000000000 z)) 1)
(/.f64 4919378858736341/200000000000000 z)
(*.f64 4919378858736341/200000000000000 (/.f64 1 z))
(/.f64 4919378858736341/200000000000000 z)
(*.f64 (/.f64 4919378858736341/200000000000000 z) 1)
(/.f64 4919378858736341/200000000000000 z)
(*.f64 1 (/.f64 4919378858736341/200000000000000 z))
(/.f64 4919378858736341/200000000000000 z)
(*.f64 (cbrt.f64 (/.f64 4919378858736341/200000000000000 z)) (pow.f64 (cbrt.f64 (/.f64 4919378858736341/200000000000000 z)) 2))
(/.f64 4919378858736341/200000000000000 z)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 4919378858736341/200000000000000 z)) 2) (cbrt.f64 (/.f64 4919378858736341/200000000000000 z)))
(/.f64 4919378858736341/200000000000000 z)
(*.f64 (sqrt.f64 (/.f64 4919378858736341/200000000000000 z)) (sqrt.f64 (/.f64 4919378858736341/200000000000000 z)))
(/.f64 4919378858736341/200000000000000 z)
(*.f64 -4919378858736341/200000000000000 (/.f64 1 (neg.f64 z)))
(/.f64 4919378858736341/200000000000000 z)
(*.f64 (/.f64 1 z) 4919378858736341/200000000000000)
(/.f64 4919378858736341/200000000000000 z)
(*.f64 (pow.f64 1 1/3) (/.f64 4919378858736341/200000000000000 z))
(/.f64 4919378858736341/200000000000000 z)
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 4919378858736341/200000000000000 z) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 4919378858736341/200000000000000 z) 3)) 1/3))
(/.f64 4919378858736341/200000000000000 z)
(.f64 (pow.f64 (.f64 (pow.f64 (/.f64 4919378858736341/200000000000000 z) 2) 4919378858736341/200000000000000) 1/3) (cbrt.f64 (/.f64 1 z)))
(.f64 (cbrt.f64 (.f64 4919378858736341/200000000000000 (pow.f64 (/.f64 4919378858736341/200000000000000 z) 2))) (cbrt.f64 (/.f64 1 z)))
(.f64 (cbrt.f64 (.f64 4919378858736341/200000000000000 (/.f64 (/.f64 24200288355782064859899354068281/40000000000000000000000000000 z) z))) (cbrt.f64 (/.f64 1 z)))
(.f64 (cbrt.f64 (/.f64 119050386912757536455558535832360990077090099821/8000000000000000000000000000000000000000000 (.f64 z z))) (cbrt.f64 (/.f64 1 z)))
(.f64 (pow.f64 (.f64 (pow.f64 (/.f64 4919378858736341/200000000000000 z) 2) (pow.f64 (cbrt.f64 (/.f64 4919378858736341/200000000000000 z)) 2)) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 4919378858736341/200000000000000 z))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (/.f64 4919378858736341/200000000000000 z)) 2) (pow.f64 (/.f64 4919378858736341/200000000000000 z) 2))) (cbrt.f64 (cbrt.f64 (/.f64 4919378858736341/200000000000000 z))))
(.f64 (cbrt.f64 (.f64 (cbrt.f64 (/.f64 4919378858736341/200000000000000 z)) (pow.f64 (cbrt.f64 (/.f64 4919378858736341/200000000000000 z)) 7))) (cbrt.f64 (cbrt.f64 (/.f64 4919378858736341/200000000000000 z))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 4919378858736341/200000000000000 z)) 8)) (cbrt.f64 (cbrt.f64 (/.f64 4919378858736341/200000000000000 z))))
(.f64 (pow.f64 (.f64 (pow.f64 (/.f64 4919378858736341/200000000000000 z) 2) (sqrt.f64 (/.f64 4919378858736341/200000000000000 z))) 1/3) (cbrt.f64 (sqrt.f64 (/.f64 4919378858736341/200000000000000 z))))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 (/.f64 4919378858736341/200000000000000 z)) (pow.f64 (/.f64 4919378858736341/200000000000000 z) 2))) (cbrt.f64 (sqrt.f64 (/.f64 4919378858736341/200000000000000 z))))
(*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 4919378858736341/200000000000000 z)) 5)) (cbrt.f64 (sqrt.f64 (/.f64 4919378858736341/200000000000000 z))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 4919378858736341/200000000000000 z) 5/2)) (cbrt.f64 (sqrt.f64 (/.f64 4919378858736341/200000000000000 z))))
(*.f64 (pow.f64 (cbrt.f64 4919378858736341/200000000000000) 3) (/.f64 1 z))
(/.f64 4919378858736341/200000000000000 z)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 4919378858736341/200000000000000 z))) 2) 3) (cbrt.f64 (/.f64 4919378858736341/200000000000000 z)))
(/.f64 4919378858736341/200000000000000 z)
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 4919378858736341/200000000000000 z))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 4919378858736341/200000000000000 z))) 3))
(/.f64 4919378858736341/200000000000000 z)
(*.f64 (pow.f64 (sqrt.f64 4919378858736341/200000000000000) 2) (/.f64 1 z))
(/.f64 4919378858736341/200000000000000 z)
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 z 200000000000000/4919378858736341)) 2) -1) (cbrt.f64 (/.f64 4919378858736341/200000000000000 z)))
(.f64 (cbrt.f64 (/.f64 4919378858736341/200000000000000 z)) (/.f64 1 (pow.f64 (cbrt.f64 (.f64 z 200000000000000/4919378858736341)) 2)))
(/.f64 (cbrt.f64 (/.f64 4919378858736341/200000000000000 z)) (pow.f64 (cbrt.f64 (*.f64 z 200000000000000/4919378858736341)) 2))
(pow.f64 (/.f64 4919378858736341/200000000000000 z) 1)
(/.f64 4919378858736341/200000000000000 z)
(pow.f64 (pow.f64 (/.f64 4919378858736341/200000000000000 z) 2) 1/2)
(/.f64 4919378858736341/200000000000000 z)
(pow.f64 (pow.f64 (/.f64 4919378858736341/200000000000000 z) 3) 1/3)
(/.f64 4919378858736341/200000000000000 z)
(pow.f64 (cbrt.f64 (/.f64 4919378858736341/200000000000000 z)) 3)
(/.f64 4919378858736341/200000000000000 z)
(pow.f64 (sqrt.f64 (/.f64 4919378858736341/200000000000000 z)) 2)
(/.f64 4919378858736341/200000000000000 z)
(pow.f64 (*.f64 z 200000000000000/4919378858736341) -1)
(/.f64 4919378858736341/200000000000000 z)
(pow.f64 (/.f64 (*.f64 z 200000000000000/4919378858736341) 1) -1)
(/.f64 4919378858736341/200000000000000 z)
(sqrt.f64 (pow.f64 (/.f64 4919378858736341/200000000000000 z) 2))
(/.f64 4919378858736341/200000000000000 z)
(log.f64 (exp.f64 (/.f64 4919378858736341/200000000000000 z)))
(/.f64 4919378858736341/200000000000000 z)
(cbrt.f64 (pow.f64 (/.f64 4919378858736341/200000000000000 z) 3))
(/.f64 4919378858736341/200000000000000 z)
(expm1.f64 (log1p.f64 (/.f64 4919378858736341/200000000000000 z)))
(/.f64 4919378858736341/200000000000000 z)
(log1p.f64 (expm1.f64 (/.f64 4919378858736341/200000000000000 z)))
(/.f64 4919378858736341/200000000000000 z)
(exp.f64 (log.f64 (/.f64 4919378858736341/200000000000000 z)))
(/.f64 4919378858736341/200000000000000 z)

localize202.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))
	1.0b	(*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))
✓	1.0b	(.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 (*.f64 -5154349522119383/22500000000000 z) 11173853963059511/30000000000000)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 569 to 473 computations (16.9% saved)

series8.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	z	@	0	(.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 (*.f64 -5154349522119383/22500000000000 z) 11173853963059511/30000000000000)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))
1.0ms	z	@	-inf	(.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 (*.f64 -5154349522119383/22500000000000 z) 11173853963059511/30000000000000)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))
1.0ms	z	@	inf	(.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 (*.f64 -5154349522119383/22500000000000 z) 11173853963059511/30000000000000)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))
0.0ms	z	@	inf	(+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))
0.0ms	z	@	0	(+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))

rewrite80.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

588×	`add-log-exp_binary64`
587×	`log1p-expm1-u_binary64`
587×	`expm1-log1p-u_binary64`
586×	`add-cbrt-cube_binary64`
586×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	130
1	1203	130

Stop Event

1×	node limit

Counts

2 → 20

Calls

Call 1

Inputs

(*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 (*.f64 -5154349522119383/22500000000000 z) 11173853963059511/30000000000000)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))

(+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (fma.f64 -5154349522119383/22500000000000 z -11173853963059511/30000000000000) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))))) (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)))) (*.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (-.f64 z 7)))) (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (fma.f64 -5154349522119383/22500000000000 z -11173853963059511/30000000000000) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))))) (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (-.f64 z 7))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (*.f64 (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (fma.f64 -5154349522119383/22500000000000 z -11173853963059511/30000000000000) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (-.f64 z 7))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (*.f64 (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (fma.f64 -5154349522119383/22500000000000 z -11173853963059511/30000000000000) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (-.f64 z 7)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (*.f64 (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (fma.f64 -5154349522119383/22500000000000 z -11173853963059511/30000000000000) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (-.f64 z 7))))))) (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (*.f64 (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (fma.f64 -5154349522119383/22500000000000 z -11173853963059511/30000000000000) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (-.f64 z 7)))))))) (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (*.f64 (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (fma.f64 -5154349522119383/22500000000000 z -11173853963059511/30000000000000) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (-.f64 z 7)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (*.f64 (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (fma.f64 -5154349522119383/22500000000000 z -11173853963059511/30000000000000) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (-.f64 z 7)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (*.f64 (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (fma.f64 -5154349522119383/22500000000000 z -11173853963059511/30000000000000) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (-.f64 z 7)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (*.f64 (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (fma.f64 -5154349522119383/22500000000000 z -11173853963059511/30000000000000) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (-.f64 z 7)))))))))))))

((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) (cbrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))) (cbrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) (sqrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 5)) (*.f64 (-.f64 1 (-.f64 z 4)) -3464277381643003/25000000000000000)) (*.f64 (-.f64 1 (-.f64 z 4)) (+.f64 (-.f64 1 z) 5)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) 3) (pow.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) 3)) (+.f64 (*.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4)))) (-.f64 (*.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (*.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4)))) (*.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) (-.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))))))))

simplify94.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

429×	`+-commutative_binary64`
359×	`fma-neg_binary64`
234×	`exp-prod_binary64`
214×	`exp-sum_binary64`
209×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	254	2332
1	795	2090
2	3225	1754
3	6805	1754

Stop Event

1×	node limit

Counts

44 → 94

Calls

Call 1

Inputs
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))
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(/.f64 (+.f64 (pow.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) 3) (pow.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) 3)) (+.f64 (.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4)))) (-.f64 (.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (*.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))))
(/.f64 (-.f64 (.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4)))) (.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) (-.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))
(pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) 1)
(log.f64 (exp.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))))
(cbrt.f64 (.f64 (.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))))
(exp.f64 (log.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))))

Outputs
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))
(.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000))
(.f64 (sqrt.f64 15/2) (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))
(+.f64 (.f64 (+.f64 (.f64 (sqrt.f64 15/2) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))))) z) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))
(fma.f64 (fma.f64 (sqrt.f64 15/2) (.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (fma.f64 -1 (log.f64 15/2) -1/15))))) z (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))
(fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (fma.f64 -1 (log.f64 15/2) -1/15))) (.f64 (exp.f64 -15/2) (.f64 54901901787731453525296637639/78400000000000000000000000 (sqrt.f64 15/2)))) z))
(fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (.f64 (sqrt.f64 15/2) (+.f64 (.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000) (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (-.f64 -1/15 (log.f64 15/2))))) z))
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(fma.f64 (fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (fma.f64 -1 (log.f64 15/2) -1/15))) (.f64 (exp.f64 -15/2) (.f64 54901901787731453525296637639/78400000000000000000000000 (sqrt.f64 15/2)))) z (fma.f64 (pow.f64 z 3) (fma.f64 (sqrt.f64 15/2) (fma.f64 (exp.f64 -15/2) 1106209385320415913103082059/25200000000000000000000000 (.f64 (exp.f64 -15/2) 31229650838510994703622313852197159/19914854400000000000000000000000)) (fma.f64 (.f64 (exp.f64 -15/2) (.f64 54901901787731453525296637639/78400000000000000000000000 (sqrt.f64 15/2))) (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2) 29/225) (fma.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (.f64 (sqrt.f64 15/2) (fma.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 29/225 (fma.f64 1/6 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 3) 86/10125))) (.f64 (.f64 (sqrt.f64 15/2) (fma.f64 -1 (log.f64 15/2) -1/15)) (.f64 (exp.f64 -15/2) 147280772953350305617505866613579/118540800000000000000000000000))))) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 z (.f64 z (fma.f64 (.f64 (exp.f64 -15/2) (.f64 54901901787731453525296637639/78400000000000000000000000 (sqrt.f64 15/2))) (fma.f64 -1 (log.f64 15/2) -1/15) (fma.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (.f64 (sqrt.f64 15/2) (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2) 29/225)) (.f64 (sqrt.f64 15/2) (*.f64 (exp.f64 -15/2) 147280772953350305617505866613579/118540800000000000000000000000)))))))))
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(.f64 -5154349522119383/22500000000000 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (-.f64 z 15/2)) z)))
(.f64 (.f64 -5154349522119383/22500000000000 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 z (exp.f64 (+.f64 z -15/2))))
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(.f64 (.f64 z (exp.f64 (+.f64 -15/2 z))) (*.f64 -5154349522119383/22500000000000 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))
(+.f64 (.f64 -11143853963059516703/30000000000000000 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (.f64 -5154349522119383/22500000000000 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (-.f64 z 15/2)) z))))
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(.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (+.f64 (*.f64 z -5154349522119383/22500000000000) -11143853963059516703/30000000000000000))
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(.f64 (.f64 (cbrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) (cbrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))) (cbrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))))
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(/.f64 (-.f64 (/.f64 (/.f64 6257345435636579942128840739161/40000000000000000000000000000 (+.f64 4 (-.f64 1 z))) (+.f64 4 (-.f64 1 z))) (/.f64 (/.f64 12001217776963300659043738858009/625000000000000000000000000000000 (-.f64 6 z)) (-.f64 6 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (/.f64 3464277381643003/25000000000000000 (-.f64 6 z))))
(/.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) 1)
(pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) 1)
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(log.f64 (exp.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))))
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(cbrt.f64 (.f64 (.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))))
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(log1p.f64 (expm1.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))))
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(exp.f64 (log.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))))
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))
(+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))

eval624.0ms (0.8%)

Compiler: Compiled 39551 to 30819 computations (22.1% saved)

prune216.0ms (0.3%)

Pruning

52 alts after pruning (48 fresh and 4 done)

	Pruned	Kept	Total
New	610	17	627
Fresh	8	31	39
Picked	1	0	1
Done	1	4	5
Total	620	52	672

Error

0.0b

Counts

672 → 52

Alt Table

Click to see full alt table

Status	Error	Program
	34.3b	(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)) 2)
	3.5b	(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)) 3)
	3.5b	(/.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
	3.1b	(/.f64 (.f64 (PI.f64) (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000))))) (sin.f64 (.f64 (PI.f64) z)))
▶	3.2b	(/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)
	2.6b	(.f64 (pow.f64 (PI.f64) 3/2) (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (sqrt.f64 2)))) (sin.f64 (*.f64 z (PI.f64)))))
	2.7b	(.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (.f64 (.f64 (exp.f64 -15/2) 1106209385320415913103082059/4200000000000000000000000) (sqrt.f64 15/2)))
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	2.4b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 904816194325545171523082059/4200000000000000000000000 (.f64 z 17677775146260978562117317613/235200000000000000000000000))) (.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
	2.1b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (expm1.f64 (log1p.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
	2.5b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 z))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
	3.3b	(.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 -15/2) (/.f64 z (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 2 (PI.f64)))))))
	3.3b	(.f64 (sqrt.f64 15/2) (.f64 (/.f64 (exp.f64 -15/2) z) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 2 (PI.f64))))))
	3.1b	(.f64 (PI.f64) (/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 15 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))) (sin.f64 (*.f64 z (PI.f64)))))
	2.9b	(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (/.f64 z (sqrt.f64 (PI.f64)))))
	2.7b	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (sqrt.f64 15/2)) (exp.f64 -15/2))) (sqrt.f64 (PI.f64))))
	2.7b	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
	2.9b	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 15/2) (.f64 (sqrt.f64 2) (exp.f64 -15/2))) (/.f64 (sqrt.f64 (PI.f64)) z)))
	48.6b	(sqrt.f64 (.f64 (PI.f64) (.f64 (pow.f64 z -2) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))))
	48.6b	(sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 15 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)) (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) 2))))
	33.9b	(fabs.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z))
	36.5b	(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)))
	36.5b	(exp.f64 (log.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)))
▶	44.0b	(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z) 3))

Compiler

Compiled 4625 to 3873 computations (16.3% saved)

localize231.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.0b	(+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))
✓	1.0b	(+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))
✓	1.0b	(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 723 to 603 computations (16.6% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	z	@	inf	(+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))
0.0ms	z	@	0	(+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))
0.0ms	z	@	-inf	(+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))
0.0ms	z	@	0	(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
0.0ms	z	@	-inf	(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))

rewrite73.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

539×	`add-cbrt-cube_binary64`
539×	`add-exp-log_binary64`
539×	`add-log-exp_binary64`
539×	`log1p-expm1-u_binary64`
539×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	101
1	1093	101

Stop Event

1×	node limit

Counts

2 → 23

Calls

Call 1

Inputs

(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))

(+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (sqrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 -3147848041806007/2500000000000 (-.f64 3 z)) (*.f64 (-.f64 2 z) 7713234287776531/10000000000000)) (*.f64 (-.f64 2 z) (-.f64 3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 3) (pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 3)) (+.f64 (*.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (-.f64 (*.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (*.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (*.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (-.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))))))

((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5)))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (-.f64 z 7)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5)))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (-.f64 z 7))))))) (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5)))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (-.f64 z 7)))))))) (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5)))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (-.f64 z 7))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5)))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 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simplify74.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

767×	`associate-+l+_binary64`
682×	`exp-sum_binary64`
579×	`fma-def_binary64`
491×	`associate-+r+_binary64`
331×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	169	1959
1	492	1851
2	1947	1541
3	7182	1539

Stop Event

1×	node limit

Counts

47 → 86

Calls

Call 1

Inputs
-11173853963059511/30000000000000
(-.f64 (*.f64 -5154349522119383/22500000000000 z) 11173853963059511/30000000000000)
(-.f64 (+.f64 (.f64 -5154349522119383/22500000000000 z) (.f64 -69565428553209127/540000000000000 (pow.f64 z 2))) 11173853963059511/30000000000000)
(-.f64 (+.f64 (.f64 -5154349522119383/22500000000000 z) (+.f64 (.f64 -224122754235180443/3240000000000000 (pow.f64 z 3)) (*.f64 -69565428553209127/540000000000000 (pow.f64 z 2)))) 11173853963059511/30000000000000)
(/.f64 4878157879447497/10000000000000 z)
(+.f64 (.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 4878157879447497/10000000000000 (/.f64 1 z)))
(-.f64 (+.f64 (.f64 4878157879447497/10000000000000 (/.f64 1 z)) (.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2)))) (*.f64 19053539921092667/10000000000000 (/.f64 1 (pow.f64 z 3))))
(-.f64 (+.f64 (.f64 4878157879447497/10000000000000 (/.f64 1 z)) (.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (.f64 107526188432174113/10000000000000 (/.f64 1 (pow.f64 z 4))) (.f64 19053539921092667/10000000000000 (/.f64 1 (pow.f64 z 3)))))
(/.f64 4878157879447497/10000000000000 z)
(+.f64 (.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 4878157879447497/10000000000000 (/.f64 1 z)))
(-.f64 (+.f64 (.f64 4878157879447497/10000000000000 (/.f64 1 z)) (.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2)))) (*.f64 19053539921092667/10000000000000 (/.f64 1 (pow.f64 z 3))))
(-.f64 (+.f64 (.f64 4878157879447497/10000000000000 (/.f64 1 z)) (.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (.f64 107526188432174113/10000000000000 (/.f64 1 (pow.f64 z 4))) (.f64 19053539921092667/10000000000000 (/.f64 1 (pow.f64 z 3)))))
1106209385320415913103082059/4200000000000000000000000
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9999999999998099/10000000000000000
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9999999999998099/10000000000000000
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(log1p.f64 (expm1.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(exp.f64 (log.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
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(pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5)))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (-.f64 z 7)))))) 1)
(log.f64 (exp.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5)))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (-.f64 z 7))))))))
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Outputs
-11173853963059511/30000000000000
(-.f64 (*.f64 -5154349522119383/22500000000000 z) 11173853963059511/30000000000000)
(fma.f64 -5154349522119383/22500000000000 z -11173853963059511/30000000000000)
(-.f64 (+.f64 (.f64 -5154349522119383/22500000000000 z) (.f64 -69565428553209127/540000000000000 (pow.f64 z 2))) 11173853963059511/30000000000000)
(+.f64 (fma.f64 -5154349522119383/22500000000000 z (.f64 -69565428553209127/540000000000000 (.f64 z z))) -11173853963059511/30000000000000)
(fma.f64 -5154349522119383/22500000000000 z (fma.f64 -69565428553209127/540000000000000 (*.f64 z z) -11173853963059511/30000000000000))
(fma.f64 -5154349522119383/22500000000000 z (fma.f64 z (*.f64 z -69565428553209127/540000000000000) -11173853963059511/30000000000000))
(fma.f64 z (+.f64 -5154349522119383/22500000000000 (*.f64 z -69565428553209127/540000000000000)) -11173853963059511/30000000000000)
(-.f64 (+.f64 (.f64 -5154349522119383/22500000000000 z) (+.f64 (.f64 -224122754235180443/3240000000000000 (pow.f64 z 3)) (*.f64 -69565428553209127/540000000000000 (pow.f64 z 2)))) 11173853963059511/30000000000000)
(+.f64 (fma.f64 -5154349522119383/22500000000000 z (fma.f64 -224122754235180443/3240000000000000 (pow.f64 z 3) (.f64 -69565428553209127/540000000000000 (.f64 z z)))) -11173853963059511/30000000000000)
(+.f64 (fma.f64 -224122754235180443/3240000000000000 (pow.f64 z 3) (.f64 (.f64 -69565428553209127/540000000000000 z) z)) (fma.f64 -5154349522119383/22500000000000 z -11173853963059511/30000000000000))
(fma.f64 -5154349522119383/22500000000000 z (fma.f64 z (*.f64 z -69565428553209127/540000000000000) (fma.f64 -224122754235180443/3240000000000000 (pow.f64 z 3) -11173853963059511/30000000000000)))
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(/.f64 4878157879447497/10000000000000 z)
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1106209385320415913103082059/4200000000000000000000000
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(fma.f64 z 102757979785251069442117317613/235200000000000000000000000 1106209385320415913103082059/4200000000000000000000000)
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(fma.f64 64608921419941589693928044520019/118540800000000000000000000000 (.f64 z z) (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z 102757979785251069442117317613/235200000000000000000000000)))
(fma.f64 (*.f64 z z) 64608921419941589693928044520019/118540800000000000000000000000 (fma.f64 z 102757979785251069442117317613/235200000000000000000000000 1106209385320415913103082059/4200000000000000000000000))
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(expm1.f64 (log1p.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5)))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (-.f64 z 7))))))))
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localize18.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)
✓	1.0b	(*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)
✓	1.0b	(.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))
✓	1.0b	(sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))

Compiler

Compiled 33 to 28 computations (15.2% saved)

series3.0ms (0%)

Counts

4 → 12

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)

1.0ms

inf

(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)

1.0ms

-inf

(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)

rewrite79.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

496×	`log-prod_binary64`
376×	`exp-prod_binary64`
336×	`prod-exp_binary64`
296×	`pow-prod-down_binary64`
252×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	43
1	205	43
2	2483	43

Stop Event

1×	node limit

Counts

4 → 127

Calls

Call 1

Inputs
(sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))
(.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))
(*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)
(/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) 1/6) (cbrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 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(exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 z (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))))) -1))))))

simplify106.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

772×	`fma-neg_binary64`
363×	`associate-*l/_binary64`
323×	`associate-*r/_binary64`
296×	`associate-/r*_binary64`
264×	`sqr-pow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	324	2166
1	780	2081
2	2713	2064
3	7740	2064

Stop Event

1×	node limit

Counts

139 → 178

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(+.f64 0 (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))))))
(-.f64 (+.f64 1 (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))) 1)
(.f64 (sqrt.f64 (.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) 1)
(.f64 1 (sqrt.f64 (.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))))
(.f64 (pow.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) 1/6) (cbrt.f64 (.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))))
(.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) (pow.f64 (.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) 1/6))
(.f64 (pow.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) 1/4) (pow.f64 (.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) 1/4))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (exp.f64 -15/2)))
(.f64 (.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (exp.f64 -15/2)) (sqrt.f64 (PI.f64)))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (exp.f64 -15/2)) (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))
(pow.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) 1/2)
(pow.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) 1)
(pow.f64 (pow.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) 3/2) 1/3)
(pow.f64 (.f64 (pow.f64 (PI.f64) 2) (.f64 1497439742288671208960574098187150551742106235789324730087570573753004257092462719664736576201616388988429361/1382976000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (exp.f64 -30))) 1/4)
(pow.f64 (pow.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) 3) 1/6)
(pow.f64 (pow.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) 1/6) 3)
(pow.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) 3/2)
(pow.f64 (pow.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) 1/4) 2)
(pow.f64 (E.f64) (.f64 (+.f64 (log.f64 (.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) -15) 1/2))
(pow.f64 (exp.f64 1/2) (+.f64 (log.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) -15))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 (log.f64 (.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) -15) 1/2)) 2)) (cbrt.f64 (.f64 (+.f64 (log.f64 (.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) -15) 1/2)))
(pow.f64 (exp.f64 (sqrt.f64 (.f64 (+.f64 (log.f64 (.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) -15) 1/2))) (sqrt.f64 (.f64 (+.f64 (log.f64 (.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) -15) 1/2)))
(fabs.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))))
(log.f64 (exp.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))))
(cbrt.f64 (pow.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))))
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(exp.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z))) 2))
(exp.f64 (.f64 (log.f64 (/.f64 z (sqrt.f64 (.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))))) -1))

Outputs
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
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(sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))
(sqrt.f64 (.f64 (exp.f64 -15) (.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))
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(/.f64 (sqrt.f64 (.f64 (exp.f64 -15) (.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)
(pow.f64 (/.f64 (/.f64 z (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))) 1) -1)
(/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)
(/.f64 (sqrt.f64 (.f64 (exp.f64 -15) (.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z))) 2)) (cbrt.f64 (log.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (sqrt.f64 (.f64 (exp.f64 -15) (.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z))) 2)) (cbrt.f64 (log.f64 (/.f64 (sqrt.f64 (.f64 (exp.f64 -15) (.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)))) (sqrt.f64 (log.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (sqrt.f64 (.f64 (exp.f64 -15) (.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)))) (sqrt.f64 (log.f64 (/.f64 (sqrt.f64 (.f64 (exp.f64 -15) (.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z))))
(neg.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) (neg.f64 z)))
(/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)
(/.f64 (sqrt.f64 (.f64 (exp.f64 -15) (.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)
(sqrt.f64 (.f64 (.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (pow.f64 z -2)))
(sqrt.f64 (.f64 (PI.f64) (.f64 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (pow.f64 z -2))))
(sqrt.f64 (.f64 (.f64 (exp.f64 -15) (PI.f64)) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (pow.f64 z -2))))
(fabs.f64 (/.f64 (sqrt.f64 (.f64 (exp.f64 -15) (.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)))
(/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)
(/.f64 (sqrt.f64 (.f64 (exp.f64 -15) (.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z) 3))
(/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)
(/.f64 (sqrt.f64 (.f64 (exp.f64 -15) (.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)
(cbrt.f64 (/.f64 (pow.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) 3/2) (pow.f64 z 3)))
(/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)
(/.f64 (sqrt.f64 (.f64 (exp.f64 -15) (.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)
(cbrt.f64 (/.f64 (pow.f64 (neg.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))) 3) (pow.f64 (neg.f64 z) 3)))
(/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)
(/.f64 (sqrt.f64 (.f64 (exp.f64 -15) (.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)))
(/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)
(/.f64 (sqrt.f64 (.f64 (exp.f64 -15) (.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)))
(/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)
(/.f64 (sqrt.f64 (.f64 (exp.f64 -15) (.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)))
(/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)
(/.f64 (sqrt.f64 (.f64 (exp.f64 -15) (.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z))) 1/3))
(/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)
(/.f64 (sqrt.f64 (.f64 (exp.f64 -15) (.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)
(exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z))) 3))
(/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)
(/.f64 (sqrt.f64 (.f64 (exp.f64 -15) (.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)
(exp.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z))) 2))
(/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)
(/.f64 (sqrt.f64 (.f64 (exp.f64 -15) (.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)
(exp.f64 (.f64 (log.f64 (/.f64 z (sqrt.f64 (.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))))) -1))
(/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)
(/.f64 (sqrt.f64 (.f64 (exp.f64 -15) (.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)

localize38.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(.f64 15/2 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15)))
✓	1.0b	(.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))
✓	1.0b	(sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15)))))
✓	39.1b	(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z) 3))

Compiler

Compiled 88 to 78 computations (11.4% saved)

series3.0ms (0%)

Counts

4 → 12

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

-inf

(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z) 3))

1.0ms

inf

(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z) 3))

0.0ms

(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z) 3))

rewrite93.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

772×	`log-prod_binary64`
385×	`pow2_binary64`
350×	`pow-unpow_binary64`
271×	`expm1-udef_binary64`
271×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	52
1	363	43
2	4026	43

Stop Event

1×	node limit

Counts

4 → 121

Calls

Call 1

Inputs
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z) 3))
(sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15)))))
(.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))
(.f64 15/2 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15)))) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15)))) z))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15)))) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15)))) z)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15)))) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15)))) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (PI.f64) (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15)))) (/.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15)))) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 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simplify83.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

852×	`fma-def_binary64`
339×	`associate-/r/_binary64`
336×	`associate-/l/_binary64`
226×	`cube-prod_binary64`
217×	`log-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	295	2148
1	634	2041
2	2705	2037

Stop Event

1×	node limit

Counts

133 → 168

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(.f64 -1 (.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (/.f64 (.f64 (cbrt.f64 -1) (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) z)))
(.f64 -1 (.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (/.f64 (.f64 (cbrt.f64 -1) (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) z)))
(.f64 -1 (.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (/.f64 (.f64 (cbrt.f64 -1) (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) z)))
(.f64 -1 (.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (/.f64 (.f64 (cbrt.f64 -1) (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) z)))
(+.f64 0 (/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15)))) z))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15)))) z))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15)))) z)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15)))) z)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15)))) z)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15)))) z))) 1)
(.f64 (sqrt.f64 (.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15)))) (/.f64 1 z))
(.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15)))) z) 1)
(.f64 1 (/.f64 (sqrt.f64 (.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15)))) z))
(.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15)))) z)) (cbrt.f64 (/.f64 (.f64 (PI.f64) (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15))) (.f64 z z))))
(.f64 (cbrt.f64 (/.f64 (.f64 (PI.f64) (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15))) (.f64 z z))) (cbrt.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15)))) z)))
(.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15)))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15))))) (/.f64 1 z)))
(.f64 (pow.f64 (.f64 (PI.f64) (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15))) 1/4) (.f64 (pow.f64 (.f64 (PI.f64) (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15))) 1/4) (/.f64 1 z)))
(.f64 (sqrt.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15)))) z)) (sqrt.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15)))) z)))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) (exp.f64 -15/2)) (/.f64 1 z)))
(.f64 (neg.f64 (sqrt.f64 (.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15))))) (/.f64 1 (neg.f64 z)))
(.f64 (/.f64 1 z) (sqrt.f64 (.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15)))))
(.f64 (pow.f64 1 1/3) (/.f64 (sqrt.f64 (.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15)))) z))
(.f64 (/.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15)))) 1) (/.f64 (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15))))) z))
(.f64 (/.f64 (pow.f64 (.f64 (PI.f64) (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15))) 1/4) 1) (/.f64 (pow.f64 (.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15))) 1/4) z))
(.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) 1) (/.f64 (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) (exp.f64 -15/2)) z))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (sqrt.f64 (.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15)))) (cbrt.f64 z)))
(.f64 (/.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15)))) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15)))) z)))
(.f64 (/.f64 (pow.f64 (.f64 (PI.f64) (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15))) 1/4) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (pow.f64 (.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15))) 1/4) (cbrt.f64 z)))
(.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) (exp.f64 -15/2)) (cbrt.f64 z)))
(.f64 (/.f64 1 (sqrt.f64 z)) (/.f64 (sqrt.f64 (.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15)))) (sqrt.f64 z)))
(.f64 (/.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15)))) (sqrt.f64 z)) (/.f64 (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15))))) (sqrt.f64 z)))
(.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (sqrt.f64 z)) (/.f64 (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) (exp.f64 -15/2)) (sqrt.f64 z)))
(/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15)))) z)
(/.f64 1 (/.f64 z (sqrt.f64 (.f64 (PI.f64) (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15))))))
(/.f64 1 (/.f64 (/.f64 z (sqrt.f64 (.f64 (PI.f64) (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15))))) 1))
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Outputs
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(.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
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(.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
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(cbrt.f64 (.f64 (.f64 (pow.f64 (PI.f64) 3) 8) (pow.f64 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) 3)))
(cbrt.f64 (.f64 (.f64 (pow.f64 (PI.f64) 3) 8) (*.f64 (pow.f64 (exp.f64 -15) 3) 1832415820932632971391193416355286744526132622001958888043672268078501264340503703316478545917832724771419984295993373442946948984620038556185147485886574177641641/13011038208000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)))
(expm1.f64 (log1p.f64 (.f64 (PI.f64) (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15)))))
(.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))
(.f64 (exp.f64 -15) (.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))
(log1p.f64 (expm1.f64 (.f64 (PI.f64) (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15)))))
(.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))
(.f64 (exp.f64 -15) (.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))
(exp.f64 (+.f64 (log.f64 (PI.f64)) (+.f64 (log.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) -15)))
(.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))
(.f64 (exp.f64 -15) (.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))
(exp.f64 (*.f64 (+.f64 (log.f64 (PI.f64)) (+.f64 (log.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) -15)) 1))
(.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))
(.f64 (exp.f64 -15) (.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))
(+.f64 0 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000))
(*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) (exp.f64 -15))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) (exp.f64 -15)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) (exp.f64 -15)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) (exp.f64 -15)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) (exp.f64 -15)))))
(*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000))) 1)
(*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)
(pow.f64 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) 1)
(*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)
(pow.f64 (*.f64 1497439742288671208960574098187150551742106235789324730087570573753004257092462719664736576201616388988429361/5531904000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (exp.f64 -30)) 1/2)
(sqrt.f64 (*.f64 1497439742288671208960574098187150551742106235789324730087570573753004257092462719664736576201616388988429361/5531904000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (exp.f64 -30)))
(pow.f64 (pow.f64 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) 3) 1/3)
(*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)
(pow.f64 (*.f64 (cbrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) (exp.f64 -5)) 3)
(*.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000 (pow.f64 (exp.f64 -5) 3))
(pow.f64 (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) (exp.f64 -15/2)) 2)
(*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)
(sqrt.f64 (*.f64 1497439742288671208960574098187150551742106235789324730087570573753004257092462719664736576201616388988429361/5531904000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (exp.f64 -30)))
(log.f64 (pow.f64 (exp.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) (exp.f64 -15)))
(*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000))))
(*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)
(cbrt.f64 (pow.f64 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) 3))
(*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)
(expm1.f64 (log1p.f64 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)))
(*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)
(log1p.f64 (expm1.f64 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)))
(*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)
(exp.f64 (+.f64 -15 (log.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)))
(*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)
(exp.f64 (*.f64 (+.f64 -15 (log.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)) 1))
(*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)

localize79.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.0b	(+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 39321001939258358983/90000000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))
✓	1.0b	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 39321001939258358983/90000000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
✓	1.0b	(*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))

Compiler

Compiled 211 to 164 computations (22.3% saved)

series3.0ms (0%)

Counts

2 → 12

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 39321001939258358983/90000000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))

1.0ms

inf

(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 39321001939258358983/90000000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))

1.0ms

-inf

(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 39321001939258358983/90000000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))

rewrite58.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

378×	`add-sqr-sqrt_binary64`
358×	`add-log-exp_binary64`
357×	`add-cbrt-cube_binary64`
357×	`add-exp-log_binary64`
357×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	61
1	752	59

Stop Event

1×	node limit

Counts

2 → 34

Calls

Call 1

Inputs

(*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))

(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 39321001939258358983/90000000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 15/2)) (exp.f64 -15/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (exp.f64 -15/2) 3) (*.f64 15/2 (sqrt.f64 15/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 15/2 (sqrt.f64 15/2)) (pow.f64 (exp.f64 -15/2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 -15/2 (log.f64 (sqrt.f64 15/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 -15/2 (log.f64 (sqrt.f64 15/2))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 39321001939258358983/90000000000000000 z 7902188421553103227/30000000000000000) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (*.f64 (PI.f64) 2)))) (*.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (*.f64 (PI.f64) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (*.f64 (PI.f64) 2))) (fma.f64 39321001939258358983/90000000000000000 z 7902188421553103227/30000000000000000)) (*.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (*.f64 (PI.f64) 2))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (*.f64 (PI.f64) 2))) (+.f64 (fma.f64 39321001939258358983/90000000000000000 z 7902188421553103227/30000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (*.f64 (PI.f64) 2))) (+.f64 (fma.f64 39321001939258358983/90000000000000000 z 7902188421553103227/30000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (*.f64 (PI.f64) 2))) (+.f64 (fma.f64 39321001939258358983/90000000000000000 z 7902188421553103227/30000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (*.f64 (PI.f64) 2))) (+.f64 (fma.f64 39321001939258358983/90000000000000000 z 7902188421553103227/30000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (*.f64 (PI.f64) 2))) (+.f64 (fma.f64 39321001939258358983/90000000000000000 z 7902188421553103227/30000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (*.f64 (PI.f64) 2))) (+.f64 (fma.f64 39321001939258358983/90000000000000000 z 7902188421553103227/30000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 15/2)) (exp.f64 -15/2)) (sqrt.f64 (*.f64 (PI.f64) 2))) (+.f64 (fma.f64 39321001939258358983/90000000000000000 z 7902188421553103227/30000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (*.f64 (PI.f64) 2))) (+.f64 (fma.f64 39321001939258358983/90000000000000000 z 7902188421553103227/30000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (*.f64 (PI.f64) 2))) (+.f64 (fma.f64 39321001939258358983/90000000000000000 z 7902188421553103227/30000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (*.f64 (PI.f64) 2))) 3) (pow.f64 (+.f64 (fma.f64 39321001939258358983/90000000000000000 z 7902188421553103227/30000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 (fma.f64 39321001939258358983/90000000000000000 z 7902188421553103227/30000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) 3) (pow.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (*.f64 (PI.f64) 2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (*.f64 (PI.f64) 2))) (+.f64 (fma.f64 39321001939258358983/90000000000000000 z 7902188421553103227/30000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (*.f64 (PI.f64) 2))) (+.f64 (fma.f64 39321001939258358983/90000000000000000 z 7902188421553103227/30000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (*.f64 (PI.f64) 2))) (+.f64 (fma.f64 39321001939258358983/90000000000000000 z 7902188421553103227/30000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (*.f64 (PI.f64) 2))) (+.f64 (fma.f64 39321001939258358983/90000000000000000 z 7902188421553103227/30000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (*.f64 (PI.f64) 2))) (fma.f64 39321001939258358983/90000000000000000 z 7902188421553103227/30000000000000000) (*.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (*.f64 (PI.f64) 2))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 39321001939258358983/90000000000000000 z 7902188421553103227/30000000000000000) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (*.f64 (PI.f64) 2))) (*.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (*.f64 (PI.f64) 2)))))))))

simplify47.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

846×	`distribute-rgt-in_binary64`
843×	`distribute-lft-in_binary64`
591×	`fma-def_binary64`
333×	`unswap-sqr_binary64`
195×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	153	1824
1	391	1782
2	1706	1698

Stop Event

1×	node limit

Counts

46 → 70

Calls

Call 1

Inputs
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 102757979785251069442117317613/235200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) z))) (sqrt.f64 (PI.f64)))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 102757979785251069442117317613/235200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) z))) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)))) (.f64 -76044331624539137747479981/118540800000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (pow.f64 z 2)))) (sqrt.f64 (PI.f64))))))
(+.f64 (.f64 102757979785251069442117317613/235200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) z))) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 -76044331624539137747479981/118540800000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (pow.f64 z 2)))) (sqrt.f64 (PI.f64)))) (.f64 -2129255331893733814996830001/19914854400000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (pow.f64 z 3)))) (sqrt.f64 (PI.f64)))))))
(.f64 39321001939258358983/90000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) z))) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 7902188421553103227/30000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)))) (.f64 39321001939258358983/90000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) z))) (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 7902188421553103227/30000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 3464024008321714637421/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))) (.f64 39321001939258358983/90000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) z))) (sqrt.f64 (PI.f64))))))
(+.f64 (.f64 7902188421553103227/30000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 3464024008321714637421/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 5195971728131790397167/6250000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (pow.f64 z 2)) (sqrt.f64 (PI.f64)))) (.f64 39321001939258358983/90000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) z))) (sqrt.f64 (PI.f64)))))))
(.f64 39321001939258358983/90000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) z))) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 7902188421553103227/30000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)))) (.f64 39321001939258358983/90000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) z))) (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 7902188421553103227/30000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 3464024008321714637421/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))) (.f64 39321001939258358983/90000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) z))) (sqrt.f64 (PI.f64))))))
(+.f64 (.f64 7902188421553103227/30000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 3464024008321714637421/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 5195971728131790397167/6250000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (pow.f64 z 2)) (sqrt.f64 (PI.f64)))) (.f64 39321001939258358983/90000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) z))) (sqrt.f64 (PI.f64)))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) 1)
(pow.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 1)
(pow.f64 (pow.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) 3)
(pow.f64 (sqrt.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) 2)
(sqrt.f64 (pow.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 2))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 15/2)) (exp.f64 -15/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(cbrt.f64 (pow.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 3))
(cbrt.f64 (.f64 (pow.f64 (exp.f64 -15/2) 3) (.f64 15/2 (sqrt.f64 15/2))))
(cbrt.f64 (.f64 (.f64 15/2 (sqrt.f64 15/2)) (pow.f64 (exp.f64 -15/2) 3)))
(expm1.f64 (log1p.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))
(log1p.f64 (expm1.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))
(exp.f64 (+.f64 -15/2 (log.f64 (sqrt.f64 15/2))))
(exp.f64 (*.f64 (+.f64 -15/2 (log.f64 (sqrt.f64 15/2))) 1))
(+.f64 (.f64 (fma.f64 39321001939258358983/90000000000000000 z 7902188421553103227/30000000000000000) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (.f64 (PI.f64) 2)))) (.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (.f64 (PI.f64) 2)))))
(+.f64 (.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (.f64 (PI.f64) 2))) (fma.f64 39321001939258358983/90000000000000000 z 7902188421553103227/30000000000000000)) (.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (.f64 (PI.f64) 2))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (.f64 (PI.f64) 2))) (+.f64 (fma.f64 39321001939258358983/90000000000000000 z 7902188421553103227/30000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) 1)
(pow.f64 (.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (.f64 (PI.f64) 2))) (+.f64 (fma.f64 39321001939258358983/90000000000000000 z 7902188421553103227/30000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) 1)
(pow.f64 (pow.f64 (.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (.f64 (PI.f64) 2))) (+.f64 (fma.f64 39321001939258358983/90000000000000000 z 7902188421553103227/30000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (.f64 (PI.f64) 2))) (+.f64 (fma.f64 39321001939258358983/90000000000000000 z 7902188421553103227/30000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) 3)
(pow.f64 (sqrt.f64 (.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (.f64 (PI.f64) 2))) (+.f64 (fma.f64 39321001939258358983/90000000000000000 z 7902188421553103227/30000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) 2)
(sqrt.f64 (pow.f64 (.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (.f64 (PI.f64) 2))) (+.f64 (fma.f64 39321001939258358983/90000000000000000 z 7902188421553103227/30000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) 2))
(log.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 15/2)) (exp.f64 -15/2)) (sqrt.f64 (*.f64 (PI.f64) 2))) (+.f64 (fma.f64 39321001939258358983/90000000000000000 z 7902188421553103227/30000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (.f64 (PI.f64) 2))) (+.f64 (fma.f64 39321001939258358983/90000000000000000 z 7902188421553103227/30000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
(cbrt.f64 (pow.f64 (.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (.f64 (PI.f64) 2))) (+.f64 (fma.f64 39321001939258358983/90000000000000000 z 7902188421553103227/30000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) 3))
(cbrt.f64 (.f64 (pow.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (.f64 (PI.f64) 2))) 3) (pow.f64 (+.f64 (fma.f64 39321001939258358983/90000000000000000 z 7902188421553103227/30000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) 3)))
(cbrt.f64 (.f64 (pow.f64 (+.f64 (fma.f64 39321001939258358983/90000000000000000 z 7902188421553103227/30000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) 3) (pow.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (.f64 (PI.f64) 2))) 3)))
(expm1.f64 (log1p.f64 (.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (.f64 (PI.f64) 2))) (+.f64 (fma.f64 39321001939258358983/90000000000000000 z 7902188421553103227/30000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(log1p.f64 (expm1.f64 (.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (.f64 (PI.f64) 2))) (+.f64 (fma.f64 39321001939258358983/90000000000000000 z 7902188421553103227/30000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(exp.f64 (log.f64 (.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (.f64 (PI.f64) 2))) (+.f64 (fma.f64 39321001939258358983/90000000000000000 z 7902188421553103227/30000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (*.f64 (PI.f64) 2))) (+.f64 (fma.f64 39321001939258358983/90000000000000000 z 7902188421553103227/30000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) 1))
(fma.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (.f64 (PI.f64) 2))) (fma.f64 39321001939258358983/90000000000000000 z 7902188421553103227/30000000000000000) (.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (*.f64 (PI.f64) 2))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
(fma.f64 (fma.f64 39321001939258358983/90000000000000000 z 7902188421553103227/30000000000000000) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (.f64 (PI.f64) 2))) (.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (*.f64 (PI.f64) 2)))))

Outputs
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64))))
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(cbrt.f64 (.f64 (pow.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (.f64 (PI.f64) 2))) 3) (pow.f64 (+.f64 (fma.f64 39321001939258358983/90000000000000000 z 7902188421553103227/30000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) 3)))
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(.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (+.f64 (+.f64 (+.f64 (fma.f64 39321001939258358983/90000000000000000 z 7902188421553103227/30000000000000000) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))
(.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (sqrt.f64 (.f64 2 (PI.f64))))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (fma.f64 z 39321001939258358983/90000000000000000 7902188421553103227/30000000000000000) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))
(cbrt.f64 (.f64 (pow.f64 (+.f64 (fma.f64 39321001939258358983/90000000000000000 z 7902188421553103227/30000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) 3) (pow.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (.f64 (PI.f64) 2))) 3)))
(.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (+.f64 (fma.f64 39321001939258358983/90000000000000000 z 7902188421553103227/30000000000000000) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
(.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (+.f64 (+.f64 (+.f64 (fma.f64 39321001939258358983/90000000000000000 z 7902188421553103227/30000000000000000) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))
(.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (sqrt.f64 (.f64 2 (PI.f64))))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (fma.f64 z 39321001939258358983/90000000000000000 7902188421553103227/30000000000000000) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))
(expm1.f64 (log1p.f64 (.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (.f64 (PI.f64) 2))) (+.f64 (fma.f64 39321001939258358983/90000000000000000 z 7902188421553103227/30000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (+.f64 (fma.f64 39321001939258358983/90000000000000000 z 7902188421553103227/30000000000000000) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
(.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (+.f64 (+.f64 (+.f64 (fma.f64 39321001939258358983/90000000000000000 z 7902188421553103227/30000000000000000) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))
(.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (sqrt.f64 (.f64 2 (PI.f64))))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (fma.f64 z 39321001939258358983/90000000000000000 7902188421553103227/30000000000000000) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))
(log1p.f64 (expm1.f64 (.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (.f64 (PI.f64) 2))) (+.f64 (fma.f64 39321001939258358983/90000000000000000 z 7902188421553103227/30000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (+.f64 (fma.f64 39321001939258358983/90000000000000000 z 7902188421553103227/30000000000000000) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
(.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (+.f64 (+.f64 (+.f64 (fma.f64 39321001939258358983/90000000000000000 z 7902188421553103227/30000000000000000) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))
(.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (sqrt.f64 (.f64 2 (PI.f64))))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (fma.f64 z 39321001939258358983/90000000000000000 7902188421553103227/30000000000000000) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))
(exp.f64 (log.f64 (.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (.f64 (PI.f64) 2))) (+.f64 (fma.f64 39321001939258358983/90000000000000000 z 7902188421553103227/30000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (+.f64 (fma.f64 39321001939258358983/90000000000000000 z 7902188421553103227/30000000000000000) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
(.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (+.f64 (+.f64 (+.f64 (fma.f64 39321001939258358983/90000000000000000 z 7902188421553103227/30000000000000000) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))
(.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (sqrt.f64 (.f64 2 (PI.f64))))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (fma.f64 z 39321001939258358983/90000000000000000 7902188421553103227/30000000000000000) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (*.f64 (PI.f64) 2))) (+.f64 (fma.f64 39321001939258358983/90000000000000000 z 7902188421553103227/30000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) 1))
(.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (+.f64 (fma.f64 39321001939258358983/90000000000000000 z 7902188421553103227/30000000000000000) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
(.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (+.f64 (+.f64 (+.f64 (fma.f64 39321001939258358983/90000000000000000 z 7902188421553103227/30000000000000000) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))
(.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (sqrt.f64 (.f64 2 (PI.f64))))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (fma.f64 z 39321001939258358983/90000000000000000 7902188421553103227/30000000000000000) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))
(fma.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (.f64 (PI.f64) 2))) (fma.f64 39321001939258358983/90000000000000000 z 7902188421553103227/30000000000000000) (.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (*.f64 (PI.f64) 2))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
(.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (+.f64 (fma.f64 39321001939258358983/90000000000000000 z 7902188421553103227/30000000000000000) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
(.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (+.f64 (+.f64 (+.f64 (fma.f64 39321001939258358983/90000000000000000 z 7902188421553103227/30000000000000000) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))
(.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (sqrt.f64 (.f64 2 (PI.f64))))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (fma.f64 z 39321001939258358983/90000000000000000 7902188421553103227/30000000000000000) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))
(fma.f64 (fma.f64 39321001939258358983/90000000000000000 z 7902188421553103227/30000000000000000) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (.f64 (PI.f64) 2))) (.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (*.f64 (PI.f64) 2)))))
(.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (+.f64 (fma.f64 39321001939258358983/90000000000000000 z 7902188421553103227/30000000000000000) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
(.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (+.f64 (+.f64 (+.f64 (fma.f64 39321001939258358983/90000000000000000 z 7902188421553103227/30000000000000000) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))
(.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (sqrt.f64 (.f64 2 (PI.f64))))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (fma.f64 z 39321001939258358983/90000000000000000 7902188421553103227/30000000000000000) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))

localize160.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.0b	(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))
✓	1.0b	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
✓	1.0b	(+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 462 to 362 computations (21.6% saved)

series5.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	z	@	0	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
1.0ms	z	@	-inf	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
1.0ms	z	@	inf	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
0.0ms	z	@	0	(+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
0.0ms	z	@	-inf	(+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))

rewrite71.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

683×	`add-log-exp_binary64`
682×	`add-cbrt-cube_binary64`
682×	`log1p-expm1-u_binary64`
682×	`expm1-log1p-u_binary64`
681×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	148
1	1402	148

Stop Event

1×	node limit

Counts

2 → 19

Calls

Call 1

Inputs

(+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))

(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 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simplify74.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

663×	`times-frac_binary64`
388×	`associate-*l/_binary64`
347×	`associate-/l*_binary64`
315×	`associate-/r*_binary64`
222×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	260	2906
1	801	2829
2	3761	2639

Stop Event

1×	node limit

Counts

43 → 87

Calls

Call 1

Inputs
7902188421553103227/30000000000000000
(+.f64 7902188421553103227/30000000000000000 (*.f64 39321001939258358983/90000000000000000 z))
(+.f64 7902188421553103227/30000000000000000 (+.f64 (.f64 2943194126470171931171/5400000000000000000 (pow.f64 z 2)) (.f64 39321001939258358983/90000000000000000 z)))
(+.f64 7902188421553103227/30000000000000000 (+.f64 (.f64 196563279258445065194677/324000000000000000000 (pow.f64 z 3)) (+.f64 (.f64 2943194126470171931171/5400000000000000000 (pow.f64 z 2)) (*.f64 39321001939258358983/90000000000000000 z))))
9999999999998099/10000000000000000
(-.f64 9999999999998099/10000000000000000 (*.f64 4919378858736341/200000000000000 (/.f64 1 z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (.f64 6868447169803563/40000000000000 (/.f64 1 (pow.f64 z 2)))) (.f64 4919378858736341/200000000000000 (/.f64 1 z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (.f64 6868447169803563/40000000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (.f64 2748699024162993/40000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 4919378858736341/200000000000000 (/.f64 1 z))))
9999999999998099/10000000000000000
(-.f64 9999999999998099/10000000000000000 (*.f64 4919378858736341/200000000000000 (/.f64 1 z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (.f64 6868447169803563/40000000000000 (/.f64 1 (pow.f64 z 2)))) (.f64 4919378858736341/200000000000000 (/.f64 1 z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (.f64 6868447169803563/40000000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (.f64 2748699024162993/40000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 4919378858736341/200000000000000 (/.f64 1 z))))
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Outputs
7902188421553103227/30000000000000000
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(fma.f64 39321001939258358983/90000000000000000 z 7902188421553103227/30000000000000000)
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eval561.0ms (0.8%)

Compiler: Compiled 36889 to 29005 computations (21.4% saved)

prune206.0ms (0.3%)

Pruning

52 alts after pruning (48 fresh and 4 done)

	Pruned	Kept	Total
New	739	24	763
Fresh	19	24	43
Picked	0	1	1
Done	5	3	8
Total	763	52	815

Error

0.0b

Counts

815 → 52

Alt Table

Click to see full alt table

Status	Error	Program
	3.5b	(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)) 3)
	2.6b	(/.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (exp.f64 -15/2)) (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) z)
	3.1b	(/.f64 (.f64 (PI.f64) (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000))))) (sin.f64 (.f64 (PI.f64) z)))
	4.6b	(/.f64 (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 (exp.f64 -15) (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))))))) z)
✓	3.2b	(/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)
	3.6b	(/.f64 (sqrt.f64 (*.f64 (PI.f64) (exp.f64 (+.f64 -15 (log.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))))) z)
	2.7b	(/.f64 (sqrt.f64 (PI.f64)) (/.f64 z (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (exp.f64 -15/2))))
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	0.8b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
	2.1b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 904816194325545171523082059/4200000000000000000000000 (.f64 z (+.f64 17677775146260978562117317613/235200000000000000000000000 (.f64 z 3071077024184708161128044520019/118540800000000000000000000000))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
	2.4b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 904816194325545171523082059/4200000000000000000000000 (.f64 z 17677775146260978562117317613/235200000000000000000000000))) (.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
	2.5b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 z))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
	2.9b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) z) (exp.f64 -15/2)))
	2.6b	(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (/.f64 (exp.f64 -15/2) z)))
	3.3b	(.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 -15/2) (/.f64 z (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 2 (PI.f64)))))))
	36.6b	(.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 (exp.f64 -15) (.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)) (cbrt.f64 (.f64 (/.f64 (PI.f64) (/.f64 (*.f64 z z) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (exp.f64 -15))))
	3.1b	(.f64 (PI.f64) (/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 15 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))) (sin.f64 (*.f64 z (PI.f64)))))
	48.6b	(sqrt.f64 (/.f64 (.f64 (PI.f64) (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15))) (*.f64 z z)))
	48.6b	(sqrt.f64 (*.f64 (/.f64 (PI.f64) z) (/.f64 (exp.f64 -15) (/.f64 z 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))))
	48.6b	(sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 15 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)) (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) 2))))
	36.5b	(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)))
	36.6b	(exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z))) 3))
	36.5b	(exp.f64 (log.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)))
	44.0b	(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 (exp.f64 -15) (.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z) 3))

Compiler

Compiled 2397 to 1991 computations (16.9% saved)

regimes197.0ms (0.3%)

Counts

102 → 1

Calls

Call 1

Inputs
(/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)
(sqrt.f64 (*.f64 (/.f64 (PI.f64) z) (/.f64 (exp.f64 -15) (/.f64 z 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))))
(sqrt.f64 (/.f64 (.f64 (PI.f64) (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15))) (*.f64 z z)))
(fabs.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (/.f64 (exp.f64 -15/2) z)))
(/.f64 (sqrt.f64 (PI.f64)) (/.f64 z (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (exp.f64 -15/2))))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (exp.f64 (+.f64 -15 (log.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))))) z)
(/.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (exp.f64 -15/2)) (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) z)
(sqrt.f64 (.f64 (PI.f64) (.f64 (pow.f64 z -2) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) z) (exp.f64 -15/2)))
(.f64 (sqrt.f64 15/2) (.f64 (/.f64 (exp.f64 -15/2) z) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 2 (PI.f64))))))
(.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 -15/2) (/.f64 z (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 2 (PI.f64)))))))
(.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (.f64 (.f64 (exp.f64 -15/2) 1106209385320415913103082059/4200000000000000000000000) (sqrt.f64 15/2)))
(.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) 1) (/.f64 (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) (exp.f64 -15/2)) z))
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2))))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 (exp.f64 -15) (.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z) 3))
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)) 3)
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 15/2) (.f64 (sqrt.f64 2) (exp.f64 -15/2))) (/.f64 (sqrt.f64 (PI.f64)) z)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (sqrt.f64 15/2)) (exp.f64 -15/2))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (/.f64 z (sqrt.f64 (PI.f64)))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z) 3))
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)) 3)
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)) 2)
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z))) 3))
(/.f64 (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 (exp.f64 -15) (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))))))) z)
(.f64 (PI.f64) (/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 15 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))) (sin.f64 (*.f64 z (PI.f64)))))
(/.f64 (.f64 (PI.f64) (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000))))) (sin.f64 (.f64 (PI.f64) z)))
(/.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(.f64 (+.f64 (.f64 1/6 (.f64 z (pow.f64 (PI.f64) 2))) (/.f64 1 z)) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2))))
(sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 15 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)) (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) 2))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2))))
(.f64 (pow.f64 (PI.f64) 3/2) (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (sqrt.f64 2)))) (sin.f64 (*.f64 z (PI.f64)))))
(sqrt.f64 (.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) 2) (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))))
(.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 (exp.f64 -15) (.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)) (cbrt.f64 (.f64 (/.f64 (PI.f64) (/.f64 (*.f64 z z) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (exp.f64 -15))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 9999999999998099/10000000000000000 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 102757979785251069442117317613/235200000000000000000000000 z))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (*.f64 z 39321001939258358983/90000000000000000) 7902188421553103227/30000000000000000)))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (.f64 (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (.f64 (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)) (-.f64 9999999999998099/10000000000000000 (/.f64 611458333333720910362579/25000000000000000000000 z))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 904816194325545171523082059/4200000000000000000000000) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 39321001939258358983/90000000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 -15176929548346663410362579/25000000000000000000000 z)) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (.f64 (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)) (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 1078390842009938509147167/6250000000000000000000 (*.f64 z z))) (/.f64 611458333333720910362579/25000000000000000000000 z))))))
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(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (exp.f64 (log.f64 (+.f64 (-.f64 1 z) -1))) 15/2) (-.f64 (-.f64 1 z) 1/2))) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (expm1.f64 (log1p.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 (+.f64 (.f64 -3147848041806007/2500000000000 (+.f64 2 (-.f64 1 z))) (.f64 (+.f64 1 (-.f64 1 z)) 7713234287776531/10000000000000)) (*.f64 (+.f64 1 (-.f64 1 z)) (+.f64 2 (-.f64 1 z))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (neg.f64 z) 3) 1/3) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))

Outputs

(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 (+.f64 (*.f64 -3147848041806007/2500000000000 (+.f64 2 (-.f64 1 z))) (*.f64 (+.f64 1 (-.f64 1 z)) 7713234287776531/10000000000000)) (*.f64 (+.f64 1 (-.f64 1 z)) (+.f64 2 (-.f64 1 z))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))

Calls

2 calls:

42.0ms

(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))

36.0ms

Results

Error	Segments	Branch
0.4b	1	`z`
0.4b	1	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))

Compiler

Compiled 5122 to 3965 computations (22.6% saved)

regimes98.0ms (0.1%)

Counts

80 → 1

Calls

Call 1

Inputs
(/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)
(sqrt.f64 (*.f64 (/.f64 (PI.f64) z) (/.f64 (exp.f64 -15) (/.f64 z 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))))
(sqrt.f64 (/.f64 (.f64 (PI.f64) (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15))) (*.f64 z z)))
(fabs.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (/.f64 (exp.f64 -15/2) z)))
(/.f64 (sqrt.f64 (PI.f64)) (/.f64 z (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (exp.f64 -15/2))))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (exp.f64 (+.f64 -15 (log.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))))) z)
(/.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (exp.f64 -15/2)) (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) z)
(sqrt.f64 (.f64 (PI.f64) (.f64 (pow.f64 z -2) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) z) (exp.f64 -15/2)))
(.f64 (sqrt.f64 15/2) (.f64 (/.f64 (exp.f64 -15/2) z) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 2 (PI.f64))))))
(.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 -15/2) (/.f64 z (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 2 (PI.f64)))))))
(.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (.f64 (.f64 (exp.f64 -15/2) 1106209385320415913103082059/4200000000000000000000000) (sqrt.f64 15/2)))
(.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) 1) (/.f64 (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) (exp.f64 -15/2)) z))
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2))))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 (exp.f64 -15) (.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z) 3))
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)) 3)
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 15/2) (.f64 (sqrt.f64 2) (exp.f64 -15/2))) (/.f64 (sqrt.f64 (PI.f64)) z)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (sqrt.f64 15/2)) (exp.f64 -15/2))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (/.f64 z (sqrt.f64 (PI.f64)))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z) 3))
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)) 3)
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)) 2)
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z))) 3))
(/.f64 (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 (exp.f64 -15) (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))))))) z)
(.f64 (PI.f64) (/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 15 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))) (sin.f64 (*.f64 z (PI.f64)))))
(/.f64 (.f64 (PI.f64) (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000))))) (sin.f64 (.f64 (PI.f64) z)))
(/.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(.f64 (+.f64 (.f64 1/6 (.f64 z (pow.f64 (PI.f64) 2))) (/.f64 1 z)) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2))))
(sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 15 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)) (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) 2))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2))))
(.f64 (pow.f64 (PI.f64) 3/2) (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (sqrt.f64 2)))) (sin.f64 (*.f64 z (PI.f64)))))
(sqrt.f64 (.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) 2) (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))))
(.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 (exp.f64 -15) (.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)) (cbrt.f64 (.f64 (/.f64 (PI.f64) (/.f64 (*.f64 z z) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (exp.f64 -15))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 9999999999998099/10000000000000000 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 102757979785251069442117317613/235200000000000000000000000 z))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (*.f64 z 39321001939258358983/90000000000000000) 7902188421553103227/30000000000000000)))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (.f64 (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (.f64 (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)) (-.f64 9999999999998099/10000000000000000 (/.f64 611458333333720910362579/25000000000000000000000 z))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 904816194325545171523082059/4200000000000000000000000) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
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(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (.f64 (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (.f64 (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))

Outputs

(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))))

Calls

1 calls:

29.0ms

Results

Error	Segments	Branch
0.5b	1	`z`

Compiler

Compiled 2933 to 2198 computations (25.1% saved)

regimes76.0ms (0.1%)

Counts

67 → 1

Calls

Call 1

Inputs
(/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)
(sqrt.f64 (*.f64 (/.f64 (PI.f64) z) (/.f64 (exp.f64 -15) (/.f64 z 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))))
(sqrt.f64 (/.f64 (.f64 (PI.f64) (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15))) (*.f64 z z)))
(fabs.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (/.f64 (exp.f64 -15/2) z)))
(/.f64 (sqrt.f64 (PI.f64)) (/.f64 z (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (exp.f64 -15/2))))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (exp.f64 (+.f64 -15 (log.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))))) z)
(/.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (exp.f64 -15/2)) (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) z)
(sqrt.f64 (.f64 (PI.f64) (.f64 (pow.f64 z -2) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) z) (exp.f64 -15/2)))
(.f64 (sqrt.f64 15/2) (.f64 (/.f64 (exp.f64 -15/2) z) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 2 (PI.f64))))))
(.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 -15/2) (/.f64 z (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 2 (PI.f64)))))))
(.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (.f64 (.f64 (exp.f64 -15/2) 1106209385320415913103082059/4200000000000000000000000) (sqrt.f64 15/2)))
(.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) 1) (/.f64 (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) (exp.f64 -15/2)) z))
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2))))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 (exp.f64 -15) (.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z) 3))
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)) 3)
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 15/2) (.f64 (sqrt.f64 2) (exp.f64 -15/2))) (/.f64 (sqrt.f64 (PI.f64)) z)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (sqrt.f64 15/2)) (exp.f64 -15/2))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (/.f64 z (sqrt.f64 (PI.f64)))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z) 3))
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)) 3)
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)) 2)
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z))) 3))
(/.f64 (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 (exp.f64 -15) (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))))))) z)
(.f64 (PI.f64) (/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 15 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))) (sin.f64 (*.f64 z (PI.f64)))))
(/.f64 (.f64 (PI.f64) (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000))))) (sin.f64 (.f64 (PI.f64) z)))
(/.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(.f64 (+.f64 (.f64 1/6 (.f64 z (pow.f64 (PI.f64) 2))) (/.f64 1 z)) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2))))
(sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 15 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)) (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) 2))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2))))
(.f64 (pow.f64 (PI.f64) 3/2) (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (sqrt.f64 2)))) (sin.f64 (*.f64 z (PI.f64)))))
(sqrt.f64 (.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) 2) (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))))
(.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 (exp.f64 -15) (.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)) (cbrt.f64 (.f64 (/.f64 (PI.f64) (/.f64 (*.f64 z z) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (exp.f64 -15))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 9999999999998099/10000000000000000 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 102757979785251069442117317613/235200000000000000000000000 z))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (*.f64 z 39321001939258358983/90000000000000000) 7902188421553103227/30000000000000000)))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (.f64 (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (.f64 (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)) (-.f64 9999999999998099/10000000000000000 (/.f64 611458333333720910362579/25000000000000000000000 z))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 904816194325545171523082059/4200000000000000000000000) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 39321001939258358983/90000000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 -15176929548346663410362579/25000000000000000000000 z)) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (.f64 (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)) (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 1078390842009938509147167/6250000000000000000000 (*.f64 z z))) (/.f64 611458333333720910362579/25000000000000000000000 z))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 904816194325545171523082059/4200000000000000000000000 (.f64 z 17677775146260978562117317613/235200000000000000000000000))) (.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 904816194325545171523082059/4200000000000000000000000 (.f64 z (+.f64 17677775146260978562117317613/235200000000000000000000000 (.f64 z 3071077024184708161128044520019/118540800000000000000000000000))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -10432597066258314615852833/6250000000000000000000 (.f64 z z)) (/.f64 -15176929548346663410362579/25000000000000000000000 z))) (.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 39321001939258358983/90000000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 4919378858736341/200000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 39321001939258358983/90000000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 4919378858736341/200000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 (/.f64 6868447169803563/40000000000000 z) z) (/.f64 4919378858736341/200000000000000 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 (/.f64 6868447169803563/40000000000000 z) z) (/.f64 4919378858736341/200000000000000 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 z))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 (*.f64 -5154349522119383/22500000000000 z) 11173853963059511/30000000000000)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) 371756020978964147/150000000000000000)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))

Outputs

(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))

Calls

1 calls:

33.0ms

Results

Error	Segments	Branch
0.8b	1	`z`

Compiler

Compiled 1891 to 1395 computations (26.2% saved)

regimes66.0ms (0.1%)

Counts

66 → 1

Calls

Call 1

Inputs
(/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)
(sqrt.f64 (*.f64 (/.f64 (PI.f64) z) (/.f64 (exp.f64 -15) (/.f64 z 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))))
(sqrt.f64 (/.f64 (.f64 (PI.f64) (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15))) (*.f64 z z)))
(fabs.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (/.f64 (exp.f64 -15/2) z)))
(/.f64 (sqrt.f64 (PI.f64)) (/.f64 z (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (exp.f64 -15/2))))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (exp.f64 (+.f64 -15 (log.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))))) z)
(/.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (exp.f64 -15/2)) (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) z)
(sqrt.f64 (.f64 (PI.f64) (.f64 (pow.f64 z -2) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) z) (exp.f64 -15/2)))
(.f64 (sqrt.f64 15/2) (.f64 (/.f64 (exp.f64 -15/2) z) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 2 (PI.f64))))))
(.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 -15/2) (/.f64 z (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 2 (PI.f64)))))))
(.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (.f64 (.f64 (exp.f64 -15/2) 1106209385320415913103082059/4200000000000000000000000) (sqrt.f64 15/2)))
(.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) 1) (/.f64 (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) (exp.f64 -15/2)) z))
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2))))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 (exp.f64 -15) (.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z) 3))
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)) 3)
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 15/2) (.f64 (sqrt.f64 2) (exp.f64 -15/2))) (/.f64 (sqrt.f64 (PI.f64)) z)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (sqrt.f64 15/2)) (exp.f64 -15/2))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (/.f64 z (sqrt.f64 (PI.f64)))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z) 3))
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)) 3)
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)) 2)
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z))) 3))
(/.f64 (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 (exp.f64 -15) (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))))))) z)
(.f64 (PI.f64) (/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 15 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))) (sin.f64 (*.f64 z (PI.f64)))))
(/.f64 (.f64 (PI.f64) (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000))))) (sin.f64 (.f64 (PI.f64) z)))
(/.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(.f64 (+.f64 (.f64 1/6 (.f64 z (pow.f64 (PI.f64) 2))) (/.f64 1 z)) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2))))
(sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 15 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)) (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) 2))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2))))
(.f64 (pow.f64 (PI.f64) 3/2) (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (sqrt.f64 2)))) (sin.f64 (*.f64 z (PI.f64)))))
(sqrt.f64 (.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) 2) (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))))
(.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 (exp.f64 -15) (.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)) (cbrt.f64 (.f64 (/.f64 (PI.f64) (/.f64 (*.f64 z z) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (exp.f64 -15))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 9999999999998099/10000000000000000 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 102757979785251069442117317613/235200000000000000000000000 z))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (*.f64 z 39321001939258358983/90000000000000000) 7902188421553103227/30000000000000000)))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (.f64 (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (.f64 (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)) (-.f64 9999999999998099/10000000000000000 (/.f64 611458333333720910362579/25000000000000000000000 z))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 904816194325545171523082059/4200000000000000000000000) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 39321001939258358983/90000000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 -15176929548346663410362579/25000000000000000000000 z)) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (.f64 (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)) (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 1078390842009938509147167/6250000000000000000000 (*.f64 z z))) (/.f64 611458333333720910362579/25000000000000000000000 z))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 904816194325545171523082059/4200000000000000000000000 (.f64 z 17677775146260978562117317613/235200000000000000000000000))) (.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 904816194325545171523082059/4200000000000000000000000 (.f64 z (+.f64 17677775146260978562117317613/235200000000000000000000000 (.f64 z 3071077024184708161128044520019/118540800000000000000000000000))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -10432597066258314615852833/6250000000000000000000 (.f64 z z)) (/.f64 -15176929548346663410362579/25000000000000000000000 z))) (.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 39321001939258358983/90000000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 4919378858736341/200000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 39321001939258358983/90000000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 4919378858736341/200000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 (/.f64 6868447169803563/40000000000000 z) z) (/.f64 4919378858736341/200000000000000 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 (/.f64 6868447169803563/40000000000000 z) z) (/.f64 4919378858736341/200000000000000 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 z))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 (*.f64 -5154349522119383/22500000000000 z) 11173853963059511/30000000000000)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) 371756020978964147/150000000000000000)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))

Outputs

(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))

Calls

1 calls:

24.0ms

Results

Error	Segments	Branch
0.8b	1	`z`

Compiler

Compiled 1817 to 1339 computations (26.3% saved)

regimes64.0ms (0.1%)

Counts

65 → 1

Calls

Call 1

Inputs
(/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)
(sqrt.f64 (*.f64 (/.f64 (PI.f64) z) (/.f64 (exp.f64 -15) (/.f64 z 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))))
(sqrt.f64 (/.f64 (.f64 (PI.f64) (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15))) (*.f64 z z)))
(fabs.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (/.f64 (exp.f64 -15/2) z)))
(/.f64 (sqrt.f64 (PI.f64)) (/.f64 z (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (exp.f64 -15/2))))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (exp.f64 (+.f64 -15 (log.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))))) z)
(/.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (exp.f64 -15/2)) (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) z)
(sqrt.f64 (.f64 (PI.f64) (.f64 (pow.f64 z -2) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) z) (exp.f64 -15/2)))
(.f64 (sqrt.f64 15/2) (.f64 (/.f64 (exp.f64 -15/2) z) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 2 (PI.f64))))))
(.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 -15/2) (/.f64 z (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 2 (PI.f64)))))))
(.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (.f64 (.f64 (exp.f64 -15/2) 1106209385320415913103082059/4200000000000000000000000) (sqrt.f64 15/2)))
(.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) 1) (/.f64 (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) (exp.f64 -15/2)) z))
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2))))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 (exp.f64 -15) (.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z) 3))
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)) 3)
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 15/2) (.f64 (sqrt.f64 2) (exp.f64 -15/2))) (/.f64 (sqrt.f64 (PI.f64)) z)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (sqrt.f64 15/2)) (exp.f64 -15/2))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (/.f64 z (sqrt.f64 (PI.f64)))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z) 3))
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)) 3)
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)) 2)
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z))) 3))
(/.f64 (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 (exp.f64 -15) (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))))))) z)
(.f64 (PI.f64) (/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 15 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))) (sin.f64 (*.f64 z (PI.f64)))))
(/.f64 (.f64 (PI.f64) (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000))))) (sin.f64 (.f64 (PI.f64) z)))
(/.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(.f64 (+.f64 (.f64 1/6 (.f64 z (pow.f64 (PI.f64) 2))) (/.f64 1 z)) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2))))
(sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 15 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)) (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) 2))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2))))
(.f64 (pow.f64 (PI.f64) 3/2) (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (sqrt.f64 2)))) (sin.f64 (*.f64 z (PI.f64)))))
(sqrt.f64 (.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) 2) (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))))
(.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 (exp.f64 -15) (.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)) (cbrt.f64 (.f64 (/.f64 (PI.f64) (/.f64 (*.f64 z z) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (exp.f64 -15))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 9999999999998099/10000000000000000 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 102757979785251069442117317613/235200000000000000000000000 z))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (*.f64 z 39321001939258358983/90000000000000000) 7902188421553103227/30000000000000000)))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (.f64 (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (.f64 (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)) (-.f64 9999999999998099/10000000000000000 (/.f64 611458333333720910362579/25000000000000000000000 z))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 904816194325545171523082059/4200000000000000000000000) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 39321001939258358983/90000000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 -15176929548346663410362579/25000000000000000000000 z)) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (.f64 (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)) (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 1078390842009938509147167/6250000000000000000000 (*.f64 z z))) (/.f64 611458333333720910362579/25000000000000000000000 z))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 904816194325545171523082059/4200000000000000000000000 (.f64 z 17677775146260978562117317613/235200000000000000000000000))) (.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 904816194325545171523082059/4200000000000000000000000 (.f64 z (+.f64 17677775146260978562117317613/235200000000000000000000000 (.f64 z 3071077024184708161128044520019/118540800000000000000000000000))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -10432597066258314615852833/6250000000000000000000 (.f64 z z)) (/.f64 -15176929548346663410362579/25000000000000000000000 z))) (.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 39321001939258358983/90000000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 4919378858736341/200000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 39321001939258358983/90000000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 4919378858736341/200000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 (/.f64 6868447169803563/40000000000000 z) z) (/.f64 4919378858736341/200000000000000 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 (/.f64 6868447169803563/40000000000000 z) z) (/.f64 4919378858736341/200000000000000 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 z))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 (*.f64 -5154349522119383/22500000000000 z) 11173853963059511/30000000000000)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) 371756020978964147/150000000000000000)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))

Outputs

(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 z (+.f64 17677775146260978562117317613/235200000000000000000000000 (*.f64 z 3071077024184708161128044520019/118540800000000000000000000000))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))

Calls

1 calls:

24.0ms

Results

Error	Segments	Branch
2.1b	1	`z`

Compiler

Compiled 1743 to 1283 computations (26.4% saved)

regimes43.0ms (0.1%)

Counts

52 → 1

Calls

Call 1

Inputs
(/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)
(sqrt.f64 (*.f64 (/.f64 (PI.f64) z) (/.f64 (exp.f64 -15) (/.f64 z 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))))
(sqrt.f64 (/.f64 (.f64 (PI.f64) (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15))) (*.f64 z z)))
(fabs.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (/.f64 (exp.f64 -15/2) z)))
(/.f64 (sqrt.f64 (PI.f64)) (/.f64 z (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (exp.f64 -15/2))))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (exp.f64 (+.f64 -15 (log.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))))) z)
(/.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (exp.f64 -15/2)) (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) z)
(sqrt.f64 (.f64 (PI.f64) (.f64 (pow.f64 z -2) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) z) (exp.f64 -15/2)))
(.f64 (sqrt.f64 15/2) (.f64 (/.f64 (exp.f64 -15/2) z) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 2 (PI.f64))))))
(.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 -15/2) (/.f64 z (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 2 (PI.f64)))))))
(.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (.f64 (.f64 (exp.f64 -15/2) 1106209385320415913103082059/4200000000000000000000000) (sqrt.f64 15/2)))
(.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) 1) (/.f64 (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) (exp.f64 -15/2)) z))
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2))))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 (exp.f64 -15) (.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z) 3))
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)) 3)
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 15/2) (.f64 (sqrt.f64 2) (exp.f64 -15/2))) (/.f64 (sqrt.f64 (PI.f64)) z)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (sqrt.f64 15/2)) (exp.f64 -15/2))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (/.f64 z (sqrt.f64 (PI.f64)))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z) 3))
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)) 3)
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)) 2)
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z))) 3))
(/.f64 (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 (exp.f64 -15) (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))))))) z)
(.f64 (PI.f64) (/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 15 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))) (sin.f64 (*.f64 z (PI.f64)))))
(/.f64 (.f64 (PI.f64) (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000))))) (sin.f64 (.f64 (PI.f64) z)))
(/.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(.f64 (+.f64 (.f64 1/6 (.f64 z (pow.f64 (PI.f64) 2))) (/.f64 1 z)) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2))))
(sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 15 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)) (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) 2))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2))))
(.f64 (pow.f64 (PI.f64) 3/2) (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (sqrt.f64 2)))) (sin.f64 (*.f64 z (PI.f64)))))
(sqrt.f64 (.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) 2) (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))))
(.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 (exp.f64 -15) (.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)) (cbrt.f64 (.f64 (/.f64 (PI.f64) (/.f64 (*.f64 z z) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (exp.f64 -15))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 9999999999998099/10000000000000000 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 102757979785251069442117317613/235200000000000000000000000 z))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (*.f64 z 39321001939258358983/90000000000000000) 7902188421553103227/30000000000000000)))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (.f64 (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (.f64 (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)) (-.f64 9999999999998099/10000000000000000 (/.f64 611458333333720910362579/25000000000000000000000 z))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 904816194325545171523082059/4200000000000000000000000) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 39321001939258358983/90000000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 -15176929548346663410362579/25000000000000000000000 z)) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (.f64 (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)) (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 1078390842009938509147167/6250000000000000000000 (*.f64 z z))) (/.f64 611458333333720910362579/25000000000000000000000 z))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 904816194325545171523082059/4200000000000000000000000 (.f64 z 17677775146260978562117317613/235200000000000000000000000))) (.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))

Outputs

(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 z 17677775146260978562117317613/235200000000000000000000000))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))

Calls

1 calls:

20.0ms

Results

Error	Segments	Branch
2.4b	1	`z`

Compiler

Compiled 1018 to 763 computations (25% saved)

regimes40.0ms (0.1%)

Counts

50 → 1

Calls

Call 1

Inputs
(/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)
(sqrt.f64 (*.f64 (/.f64 (PI.f64) z) (/.f64 (exp.f64 -15) (/.f64 z 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))))
(sqrt.f64 (/.f64 (.f64 (PI.f64) (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15))) (*.f64 z z)))
(fabs.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (/.f64 (exp.f64 -15/2) z)))
(/.f64 (sqrt.f64 (PI.f64)) (/.f64 z (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (exp.f64 -15/2))))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (exp.f64 (+.f64 -15 (log.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))))) z)
(/.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (exp.f64 -15/2)) (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) z)
(sqrt.f64 (.f64 (PI.f64) (.f64 (pow.f64 z -2) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) z) (exp.f64 -15/2)))
(.f64 (sqrt.f64 15/2) (.f64 (/.f64 (exp.f64 -15/2) z) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 2 (PI.f64))))))
(.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 -15/2) (/.f64 z (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 2 (PI.f64)))))))
(.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (.f64 (.f64 (exp.f64 -15/2) 1106209385320415913103082059/4200000000000000000000000) (sqrt.f64 15/2)))
(.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) 1) (/.f64 (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) (exp.f64 -15/2)) z))
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2))))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 (exp.f64 -15) (.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z) 3))
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)) 3)
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 15/2) (.f64 (sqrt.f64 2) (exp.f64 -15/2))) (/.f64 (sqrt.f64 (PI.f64)) z)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (sqrt.f64 15/2)) (exp.f64 -15/2))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (/.f64 z (sqrt.f64 (PI.f64)))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z) 3))
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)) 3)
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)) 2)
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z))) 3))
(/.f64 (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 (exp.f64 -15) (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))))))) z)
(.f64 (PI.f64) (/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 15 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))) (sin.f64 (*.f64 z (PI.f64)))))
(/.f64 (.f64 (PI.f64) (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000))))) (sin.f64 (.f64 (PI.f64) z)))
(/.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(.f64 (+.f64 (.f64 1/6 (.f64 z (pow.f64 (PI.f64) 2))) (/.f64 1 z)) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2))))
(sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 15 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)) (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) 2))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2))))
(.f64 (pow.f64 (PI.f64) 3/2) (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (sqrt.f64 2)))) (sin.f64 (*.f64 z (PI.f64)))))
(sqrt.f64 (.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) 2) (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))))
(.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 (exp.f64 -15) (.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)) (cbrt.f64 (.f64 (/.f64 (PI.f64) (/.f64 (*.f64 z z) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (exp.f64 -15))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 9999999999998099/10000000000000000 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 102757979785251069442117317613/235200000000000000000000000 z))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (*.f64 z 39321001939258358983/90000000000000000) 7902188421553103227/30000000000000000)))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (.f64 (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (.f64 (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)) (-.f64 9999999999998099/10000000000000000 (/.f64 611458333333720910362579/25000000000000000000000 z))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 904816194325545171523082059/4200000000000000000000000) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 39321001939258358983/90000000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 -15176929548346663410362579/25000000000000000000000 z)) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (.f64 (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)) (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 1078390842009938509147167/6250000000000000000000 (*.f64 z z))) (/.f64 611458333333720910362579/25000000000000000000000 z))))))

Outputs
(.f64 (pow.f64 (PI.f64) 3/2) (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (sqrt.f64 2)))) (sin.f64 (*.f64 z (PI.f64)))))

Calls

1 calls:

19.0ms

Results

Error	Segments	Branch
2.6b	1	`z`

Compiler

Compiled 928 to 701 computations (24.5% saved)

regimes28.0ms (0%)

Counts

38 → 1

Calls

Call 1

Inputs
(/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)
(sqrt.f64 (*.f64 (/.f64 (PI.f64) z) (/.f64 (exp.f64 -15) (/.f64 z 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))))
(sqrt.f64 (/.f64 (.f64 (PI.f64) (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15))) (*.f64 z z)))
(fabs.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (/.f64 (exp.f64 -15/2) z)))
(/.f64 (sqrt.f64 (PI.f64)) (/.f64 z (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (exp.f64 -15/2))))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (exp.f64 (+.f64 -15 (log.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))))) z)
(/.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (exp.f64 -15/2)) (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) z)
(sqrt.f64 (.f64 (PI.f64) (.f64 (pow.f64 z -2) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) z) (exp.f64 -15/2)))
(.f64 (sqrt.f64 15/2) (.f64 (/.f64 (exp.f64 -15/2) z) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 2 (PI.f64))))))
(.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 -15/2) (/.f64 z (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 2 (PI.f64)))))))
(.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (.f64 (.f64 (exp.f64 -15/2) 1106209385320415913103082059/4200000000000000000000000) (sqrt.f64 15/2)))
(.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) 1) (/.f64 (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) (exp.f64 -15/2)) z))
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2))))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 (exp.f64 -15) (.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z) 3))
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)) 3)
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 15/2) (.f64 (sqrt.f64 2) (exp.f64 -15/2))) (/.f64 (sqrt.f64 (PI.f64)) z)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (sqrt.f64 15/2)) (exp.f64 -15/2))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (/.f64 z (sqrt.f64 (PI.f64)))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z) 3))
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)) 3)
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)) 2)
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z))) 3))
(/.f64 (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 (exp.f64 -15) (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))))))) z)
(.f64 (PI.f64) (/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 15 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))) (sin.f64 (*.f64 z (PI.f64)))))
(/.f64 (.f64 (PI.f64) (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000))))) (sin.f64 (.f64 (PI.f64) z)))
(/.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(.f64 (+.f64 (.f64 1/6 (.f64 z (pow.f64 (PI.f64) 2))) (/.f64 1 z)) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2))))
(sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 15 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)) (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) 2))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2))))

Outputs
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2))))

Calls

1 calls:

14.0ms

Results

Error	Segments	Branch
2.6b	1	`z`

Compiler

Compiled 537 to 435 computations (19% saved)

regimes22.0ms (0%)

Counts

29 → 1

Calls

Call 1

Inputs
(/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)
(sqrt.f64 (*.f64 (/.f64 (PI.f64) z) (/.f64 (exp.f64 -15) (/.f64 z 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))))
(sqrt.f64 (/.f64 (.f64 (PI.f64) (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15))) (*.f64 z z)))
(fabs.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (/.f64 (exp.f64 -15/2) z)))
(/.f64 (sqrt.f64 (PI.f64)) (/.f64 z (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (exp.f64 -15/2))))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (exp.f64 (+.f64 -15 (log.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))))) z)
(/.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (exp.f64 -15/2)) (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) z)
(sqrt.f64 (.f64 (PI.f64) (.f64 (pow.f64 z -2) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) z) (exp.f64 -15/2)))
(.f64 (sqrt.f64 15/2) (.f64 (/.f64 (exp.f64 -15/2) z) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 2 (PI.f64))))))
(.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 -15/2) (/.f64 z (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 2 (PI.f64)))))))
(.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (.f64 (.f64 (exp.f64 -15/2) 1106209385320415913103082059/4200000000000000000000000) (sqrt.f64 15/2)))
(.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) 1) (/.f64 (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) (exp.f64 -15/2)) z))
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2))))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 (exp.f64 -15) (.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z) 3))
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)) 3)
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 15/2) (.f64 (sqrt.f64 2) (exp.f64 -15/2))) (/.f64 (sqrt.f64 (PI.f64)) z)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (sqrt.f64 15/2)) (exp.f64 -15/2))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (/.f64 z (sqrt.f64 (PI.f64)))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z) 3))
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)) 3)
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)) 2)

Outputs
(/.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (exp.f64 -15/2)) (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) z)

Calls

1 calls:

11.0ms

Results

Error	Segments	Branch
2.6b	1	`z`

Compiler

Compiled 378 to 311 computations (17.7% saved)

regimes7.0ms (0%)

Counts

7 → 1

Calls

Call 1

Inputs
(/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)
(sqrt.f64 (*.f64 (/.f64 (PI.f64) z) (/.f64 (exp.f64 -15) (/.f64 z 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))))
(sqrt.f64 (/.f64 (.f64 (PI.f64) (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15))) (*.f64 z z)))
(fabs.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (/.f64 (exp.f64 -15/2) z)))
(/.f64 (sqrt.f64 (PI.f64)) (/.f64 z (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (exp.f64 -15/2))))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (exp.f64 (+.f64 -15 (log.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))))) z)

Outputs
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (/.f64 (exp.f64 -15/2) z)))

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
2.6b	1	`z`

Compiler

Compiled 74 to 57 computations (23% saved)

regimes6.0ms (0%)

Accuracy

Total -45.6b remaining (-1405.1%)

Threshold costs -45.6b (-1405.1%)

Counts

4 → 1

Calls

Call 1

Inputs
(/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)
(sqrt.f64 (*.f64 (/.f64 (PI.f64) z) (/.f64 (exp.f64 -15) (/.f64 z 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))))
(sqrt.f64 (/.f64 (.f64 (PI.f64) (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15))) (*.f64 z z)))
(fabs.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z))

Outputs
(/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
3.2b	1	`z`

Compiler

Compiled 44 to 34 computations (22.7% saved)

simplify24.0ms (0%)

Algorithm

1×	egg-herbie

Rules

52×	`+-commutative_binary64`
45×	`*-commutative_binary64`
12×	`sub-neg_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	163	754
1	265	754
2	278	754
3	280	754
4	281	754

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 (+.f64 (.f64 -3147848041806007/2500000000000 (+.f64 2 (-.f64 1 z))) (.f64 (+.f64 1 (-.f64 1 z)) 7713234287776531/10000000000000)) (*.f64 (+.f64 1 (-.f64 1 z)) (+.f64 2 (-.f64 1 z))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 904816194325545171523082059/4200000000000000000000000 (.f64 z (+.f64 17677775146260978562117317613/235200000000000000000000000 (.f64 z 3071077024184708161128044520019/118540800000000000000000000000))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 904816194325545171523082059/4200000000000000000000000 (.f64 z 17677775146260978562117317613/235200000000000000000000000))) (.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(.f64 (pow.f64 (PI.f64) 3/2) (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (sqrt.f64 2)))) (sin.f64 (*.f64 z (PI.f64)))))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2))))
(/.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (exp.f64 -15/2)) (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) z)
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (/.f64 (exp.f64 -15/2) z)))
(/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)

Outputs
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 (+.f64 (.f64 -3147848041806007/2500000000000 (+.f64 2 (-.f64 1 z))) (.f64 (+.f64 1 (-.f64 1 z)) 7713234287776531/10000000000000)) (*.f64 (+.f64 1 (-.f64 1 z)) (+.f64 2 (-.f64 1 z))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 (+.f64 (.f64 -3147848041806007/2500000000000 (+.f64 2 (-.f64 1 z))) (.f64 (+.f64 1 (-.f64 1 z)) 7713234287776531/10000000000000)) (*.f64 (+.f64 2 (-.f64 1 z)) (+.f64 1 (-.f64 1 z))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 904816194325545171523082059/4200000000000000000000000 (.f64 z (+.f64 17677775146260978562117317613/235200000000000000000000000 (.f64 z 3071077024184708161128044520019/118540800000000000000000000000))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 904816194325545171523082059/4200000000000000000000000 (.f64 z (+.f64 17677775146260978562117317613/235200000000000000000000000 (.f64 z 3071077024184708161128044520019/118540800000000000000000000000))))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 904816194325545171523082059/4200000000000000000000000 (.f64 z 17677775146260978562117317613/235200000000000000000000000))) (.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 z 17677775146260978562117317613/235200000000000000000000000))))))
(.f64 (pow.f64 (PI.f64) 3/2) (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (sqrt.f64 2)))) (sin.f64 (*.f64 z (PI.f64)))))
(.f64 (pow.f64 (PI.f64) 3/2) (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (sqrt.f64 2)))) (sin.f64 (*.f64 (PI.f64) z))))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2))))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))))
(/.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (exp.f64 -15/2)) (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) z)
(/.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))) (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) z)
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (/.f64 (exp.f64 -15/2) z)))
(/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)
(/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15)))) z)

Compiler

Compiled 490 to 407 computations (16.9% saved)

soundness166.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

503×	`associate-/r*_binary64`
345×	`associate-/l*_binary64`
337×	`associate-+l+_binary64`
288×	`associate-+r+_binary64`
271×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	61	156
1	160	147
2	639	119
3	4381	115

Stop Event

1×	node limit

Compiler

Compiled 6214 to 5444 computations (12.4% saved)

end186.0ms (0.2%)

Compiler: Compiled 480 to 368 computations (23.3% saved)