Details

analyze610.0ms (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)

sample55.3s (75.7%)

Results

50.8s	3974×	body	8192	exit
4.3s	8256×	body	256	valid
62.0ms	117×	body	256	infinite
44.0ms	71×	body	256	unsamplable

Bogosity

preprocess46.0ms (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)

simplify41.0ms (0.1%)

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))))))

eval7.0ms (0%)

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

prune14.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	2	3	5
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	3	3	6

Error

0.2b

Counts

6 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	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)))))))
▶	0.4b	(.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)))))))
▶	0.7b	(.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 (/.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))))))

Status

Error

Program

▶

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)))))))

▶

0.4b

(*.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)))))))

▶

0.7b

(*.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 (/.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 248 to 205 computations (17.3% saved)

localize211.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	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 -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)

series20.0ms (0%)

Counts

4 → 36

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	z	@	inf	(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
3.0ms	z	@	-inf	(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
2.0ms	z	@	-inf	(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
2.0ms	z	@	-inf	(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))
2.0ms	z	@	inf	(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))

Compiler

Compiled 1308 to 1134 computations (13.3% saved)

rewrite93.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

345×	`add-sqr-sqrt_binary64`
328×	`add-cbrt-cube_binary64`
328×	`add-exp-log_binary64`
328×	`add-log-exp_binary64`
328×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	64
1	682	64

Stop Event

1×	node limit

Counts

4 → 165

Calls

Call 1

Inputs
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
(sqrt.f64 (*.f64 (PI.f64) 2))
(+.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))))

Outputs
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simplify150.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

472×	`times-frac_binary64`
416×	`div-sub_binary64`
340×	`associate-/r*_binary64`
314×	`fma-def_binary64`
299×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	675	5640
1	1696	5477
2	5745	5473

Stop Event

1×	node limit

Counts

201 → 313

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)))
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(/.f64 (+.f64 (.f64 7713234287776531/10000000000000 (.f64 (-.f64 4 z) (-.f64 5 z))) (.f64 (-.f64 3 z) (fma.f64 -883075145810703/5000000000000 (-.f64 5 z) (.f64 (-.f64 4 z) 2501468655737381/200000000000000)))) (.f64 (-.f64 3 z) (.f64 (-.f64 4 z) (-.f64 5 z))))
(/.f64 (+.f64 (.f64 -7713234287776531/10000000000000 (.f64 (-.f64 4 z) (-.f64 5 z))) (.f64 (neg.f64 (-.f64 3 z)) (fma.f64 -883075145810703/5000000000000 (-.f64 5 z) (.f64 (-.f64 4 z) 2501468655737381/200000000000000)))) (.f64 (neg.f64 (-.f64 3 z)) (.f64 (-.f64 4 z) (-.f64 5 z))))
(/.f64 (+.f64 (+.f64 (pow.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 2) (-.f64 (/.f64 6257345435636579942128840739161/40000000000000000000000000000 (pow.f64 (-.f64 5 z) 2)) (/.f64 -2208984797906190952107506988843/1000000000000000000000000000 (.f64 (-.f64 4 z) (-.f64 5 z))))) (.f64 (/.f64 (-.f64 3 z) 7713234287776531/10000000000000) (+.f64 (/.f64 -688641173045047177036613100428008022090298927/125000000000000000000000000000000000000 (pow.f64 (-.f64 4 z) 3)) (/.f64 15652553475366272331312146034805179211538277341/8000000000000000000000000000000000000000000 (pow.f64 (-.f64 5 z) 3))))) (.f64 (/.f64 (-.f64 3 z) 7713234287776531/10000000000000) (+.f64 (pow.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 2) (-.f64 (/.f64 6257345435636579942128840739161/40000000000000000000000000000 (pow.f64 (-.f64 5 z) 2)) (/.f64 -2208984797906190952107506988843/1000000000000000000000000000 (.f64 (-.f64 4 z) (-.f64 5 z)))))))
(/.f64 (+.f64 (.f64 7713234287776531/10000000000000 (+.f64 (pow.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 2) (-.f64 (/.f64 6257345435636579942128840739161/40000000000000000000000000000 (pow.f64 (-.f64 5 z) 2)) (/.f64 -2208984797906190952107506988843/1000000000000000000000000000 (.f64 (-.f64 4 z) (-.f64 5 z)))))) (.f64 (-.f64 3 z) (+.f64 (/.f64 -688641173045047177036613100428008022090298927/125000000000000000000000000000000000000 (pow.f64 (-.f64 4 z) 3)) (/.f64 15652553475366272331312146034805179211538277341/8000000000000000000000000000000000000000000 (pow.f64 (-.f64 5 z) 3))))) (.f64 (-.f64 3 z) (+.f64 (pow.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 2) (-.f64 (/.f64 6257345435636579942128840739161/40000000000000000000000000000 (pow.f64 (-.f64 5 z) 2)) (/.f64 -2208984797906190952107506988843/1000000000000000000000000000 (*.f64 (-.f64 4 z) (-.f64 5 z)))))))
(/.f64 (+.f64 (.f64 -7713234287776531/10000000000000 (+.f64 (pow.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 2) (-.f64 (/.f64 6257345435636579942128840739161/40000000000000000000000000000 (pow.f64 (-.f64 5 z) 2)) (/.f64 -2208984797906190952107506988843/1000000000000000000000000000 (.f64 (-.f64 4 z) (-.f64 5 z)))))) (.f64 (neg.f64 (-.f64 3 z)) (+.f64 (/.f64 -688641173045047177036613100428008022090298927/125000000000000000000000000000000000000 (pow.f64 (-.f64 4 z) 3)) (/.f64 15652553475366272331312146034805179211538277341/8000000000000000000000000000000000000000000 (pow.f64 (-.f64 5 z) 3))))) (.f64 (neg.f64 (-.f64 3 z)) (+.f64 (pow.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 2) (-.f64 (/.f64 6257345435636579942128840739161/40000000000000000000000000000 (pow.f64 (-.f64 5 z) 2)) (/.f64 -2208984797906190952107506988843/1000000000000000000000000000 (*.f64 (-.f64 4 z) (-.f64 5 z)))))))
(/.f64 (+.f64 (-.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (.f64 (/.f64 (-.f64 3 z) 7713234287776531/10000000000000) (-.f64 (pow.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 2) (/.f64 6257345435636579942128840739161/40000000000000000000000000000 (pow.f64 (-.f64 5 z) 2))))) (.f64 (/.f64 (-.f64 3 z) 7713234287776531/10000000000000) (-.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))
(/.f64 (+.f64 (.f64 7713234287776531/10000000000000 (-.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (.f64 (-.f64 3 z) (-.f64 (pow.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 2) (/.f64 6257345435636579942128840739161/40000000000000000000000000000 (pow.f64 (-.f64 5 z) 2))))) (*.f64 (-.f64 3 z) (-.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))
(/.f64 (+.f64 (.f64 -7713234287776531/10000000000000 (-.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (.f64 (neg.f64 (-.f64 3 z)) (-.f64 (pow.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 2) (/.f64 6257345435636579942128840739161/40000000000000000000000000000 (pow.f64 (-.f64 5 z) 2))))) (*.f64 (neg.f64 (-.f64 3 z)) (-.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))
(pow.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 1)
(pow.f64 (pow.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 3)
(pow.f64 (sqrt.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 2)
(sqrt.f64 (pow.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 2))
(log.f64 (exp.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))
(cbrt.f64 (pow.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 3))
(expm1.f64 (log1p.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(log1p.f64 (expm1.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(exp.f64 (log.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 1))
(fma.f64 1 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(fma.f64 1 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))
(fma.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 2) (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) 2) (cbrt.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(fma.f64 (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (sqrt.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 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 (pow.f64 (/.f64 1 z) 2)) (.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(fma.f64 3683516130645841/2000000000000 (pow.f64 (/.f64 1 z) 2) (/.f64 5826188486005177/10000000000000 z))
(+.f64 (.f64 3683516130645841/2000000000000 (pow.f64 (/.f64 1 z) 2)) (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (pow.f64 (/.f64 1 z) 3))))
(fma.f64 3683516130645841/2000000000000 (pow.f64 (/.f64 1 z) 2) (+.f64 (/.f64 5826188486005177/10000000000000 z) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3)))))
(fma.f64 3683516130645841/2000000000000 (pow.f64 (/.f64 1 z) 2) (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3))))
(+.f64 (.f64 3683516130645841/2000000000000 (pow.f64 (/.f64 1 z) 2)) (+.f64 (.f64 93965933656573373/10000000000000 (pow.f64 (/.f64 1 z) 4)) (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (.f64 43600364987677261/10000000000000 (pow.f64 (/.f64 1 z) 3)))))
(fma.f64 3683516130645841/2000000000000 (pow.f64 (/.f64 1 z) 2) (fma.f64 93965933656573373/10000000000000 (pow.f64 (/.f64 1 z) 4) (+.f64 (/.f64 5826188486005177/10000000000000 z) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))))))
(fma.f64 3683516130645841/2000000000000 (pow.f64 (/.f64 1 z) 2) (+.f64 (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)) (fma.f64 93965933656573373/10000000000000 (pow.f64 (/.f64 1 z) 4) (/.f64 5826188486005177/10000000000000 z))))
(/.f64 5826188486005177/10000000000000 z)
(+.f64 (.f64 3683516130645841/2000000000000 (pow.f64 (/.f64 -1 z) 2)) (.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(fma.f64 3683516130645841/2000000000000 (pow.f64 (/.f64 -1 z) 2) (/.f64 5826188486005177/10000000000000 z))
(+.f64 (.f64 -43600364987677261/10000000000000 (pow.f64 (/.f64 -1 z) 3)) (+.f64 (.f64 3683516130645841/2000000000000 (pow.f64 (/.f64 -1 z) 2)) (*.f64 5826188486005177/10000000000000 (/.f64 1 z))))
(fma.f64 -43600364987677261/10000000000000 (/.f64 -1 (pow.f64 z 3)) (fma.f64 3683516130645841/2000000000000 (pow.f64 (/.f64 -1 z) 2) (/.f64 5826188486005177/10000000000000 z)))
(+.f64 (fma.f64 3683516130645841/2000000000000 (pow.f64 (/.f64 -1 z) 2) (/.f64 5826188486005177/10000000000000 z)) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)))
(+.f64 (.f64 93965933656573373/10000000000000 (pow.f64 (/.f64 -1 z) 4)) (+.f64 (.f64 -43600364987677261/10000000000000 (pow.f64 (/.f64 -1 z) 3)) (+.f64 (.f64 3683516130645841/2000000000000 (pow.f64 (/.f64 -1 z) 2)) (.f64 5826188486005177/10000000000000 (/.f64 1 z)))))
(fma.f64 93965933656573373/10000000000000 (pow.f64 (/.f64 -1 z) 4) (fma.f64 -43600364987677261/10000000000000 (/.f64 -1 (pow.f64 z 3)) (fma.f64 3683516130645841/2000000000000 (pow.f64 (/.f64 -1 z) 2) (/.f64 5826188486005177/10000000000000 z))))
(+.f64 (fma.f64 3683516130645841/2000000000000 (pow.f64 (/.f64 -1 z) 2) (/.f64 5826188486005177/10000000000000 z)) (fma.f64 93965933656573373/10000000000000 (pow.f64 (/.f64 -1 z) 4) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3))))
-41652288634797769/1000000000000000
(-.f64 (*.f64 -105381455914863113/10000000000000000 z) 41652288634797769/1000000000000000)
(fma.f64 -105381455914863113/10000000000000000 z -41652288634797769/1000000000000000)
(fma.f64 z -105381455914863113/10000000000000000 -41652288634797769/1000000000000000)
(-.f64 (+.f64 (.f64 -105381455914863113/10000000000000000 z) (.f64 -531910216885790327/200000000000000000 (pow.f64 z 2))) 41652288634797769/1000000000000000)
(+.f64 (fma.f64 -105381455914863113/10000000000000000 z (.f64 (.f64 z z) -531910216885790327/200000000000000000)) -41652288634797769/1000000000000000)
(fma.f64 z -105381455914863113/10000000000000000 (fma.f64 (*.f64 z z) -531910216885790327/200000000000000000 -41652288634797769/1000000000000000))
(fma.f64 z -105381455914863113/10000000000000000 (fma.f64 z (*.f64 z -531910216885790327/200000000000000000) -41652288634797769/1000000000000000))
(-.f64 (+.f64 (.f64 -2679562833674850683/4000000000000000000 (pow.f64 z 3)) (+.f64 (.f64 -105381455914863113/10000000000000000 z) (*.f64 -531910216885790327/200000000000000000 (pow.f64 z 2)))) 41652288634797769/1000000000000000)
(+.f64 (fma.f64 -2679562833674850683/4000000000000000000 (pow.f64 z 3) (fma.f64 -105381455914863113/10000000000000000 z (.f64 (.f64 z z) -531910216885790327/200000000000000000))) -41652288634797769/1000000000000000)
(fma.f64 (pow.f64 z 3) -2679562833674850683/4000000000000000000 (fma.f64 z -105381455914863113/10000000000000000 (fma.f64 (*.f64 z z) -531910216885790327/200000000000000000 -41652288634797769/1000000000000000)))
(fma.f64 (pow.f64 z 3) -2679562833674850683/4000000000000000000 (fma.f64 z -105381455914863113/10000000000000000 (fma.f64 z (*.f64 z -531910216885790327/200000000000000000) -41652288634797769/1000000000000000)))
(/.f64 32821537176690739/200000000000000 z)
(+.f64 (.f64 5151387202041023/8000000000000 (pow.f64 (/.f64 1 z) 2)) (.f64 32821537176690739/200000000000000 (/.f64 1 z)))
(fma.f64 5151387202041023/8000000000000 (pow.f64 (/.f64 1 z) 2) (/.f64 32821537176690739/200000000000000 z))
(fma.f64 (pow.f64 (/.f64 1 z) 2) 5151387202041023/8000000000000 (/.f64 32821537176690739/200000000000000 z))
(+.f64 (.f64 100526275385083079/40000000000000 (pow.f64 (/.f64 1 z) 3)) (+.f64 (.f64 5151387202041023/8000000000000 (pow.f64 (/.f64 1 z) 2)) (*.f64 32821537176690739/200000000000000 (/.f64 1 z))))
(fma.f64 100526275385083079/40000000000000 (/.f64 1 (pow.f64 z 3)) (fma.f64 5151387202041023/8000000000000 (pow.f64 (/.f64 1 z) 2) (/.f64 32821537176690739/200000000000000 z)))
(+.f64 (fma.f64 (pow.f64 (/.f64 1 z) 2) 5151387202041023/8000000000000 (/.f64 32821537176690739/200000000000000 z)) (/.f64 100526275385083079/40000000000000 (pow.f64 z 3)))
(+.f64 (.f64 100526275385083079/40000000000000 (pow.f64 (/.f64 1 z) 3)) (+.f64 (.f64 5151387202041023/8000000000000 (pow.f64 (/.f64 1 z) 2)) (+.f64 (.f64 389597758261645411/40000000000000 (pow.f64 (/.f64 1 z) 4)) (.f64 32821537176690739/200000000000000 (/.f64 1 z)))))
(fma.f64 100526275385083079/40000000000000 (/.f64 1 (pow.f64 z 3)) (fma.f64 5151387202041023/8000000000000 (pow.f64 (/.f64 1 z) 2) (fma.f64 389597758261645411/40000000000000 (pow.f64 (/.f64 1 z) 4) (/.f64 32821537176690739/200000000000000 z))))
(+.f64 (fma.f64 (pow.f64 (/.f64 1 z) 2) 5151387202041023/8000000000000 (fma.f64 (pow.f64 (/.f64 1 z) 4) 389597758261645411/40000000000000 (/.f64 32821537176690739/200000000000000 z))) (/.f64 100526275385083079/40000000000000 (pow.f64 z 3)))
(/.f64 32821537176690739/200000000000000 z)
(+.f64 (.f64 5151387202041023/8000000000000 (pow.f64 (/.f64 -1 z) 2)) (.f64 32821537176690739/200000000000000 (/.f64 1 z)))
(fma.f64 5151387202041023/8000000000000 (pow.f64 (/.f64 -1 z) 2) (/.f64 32821537176690739/200000000000000 z))
(fma.f64 (pow.f64 (/.f64 -1 z) 2) 5151387202041023/8000000000000 (/.f64 32821537176690739/200000000000000 z))
(+.f64 (.f64 -100526275385083079/40000000000000 (pow.f64 (/.f64 -1 z) 3)) (+.f64 (.f64 5151387202041023/8000000000000 (pow.f64 (/.f64 -1 z) 2)) (*.f64 32821537176690739/200000000000000 (/.f64 1 z))))
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(/.f64 (fma.f64 (-.f64 (pow.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 2) (/.f64 6257345435636579942128840739161/40000000000000000000000000000 (pow.f64 (-.f64 5 z) 2))) (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000)) (-.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (*.f64 (-.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000))))
(.f64 (/.f64 (fma.f64 (+.f64 (pow.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 2) (/.f64 -6257345435636579942128840739161/40000000000000000000000000000 (pow.f64 (-.f64 5 z) 2))) (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -2501468655737381/200000000000000 (-.f64 5 z)))) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -2501468655737381/200000000000000 (-.f64 5 z))) (-.f64 3 z))) 7713234287776531/10000000000000)
(/.f64 (+.f64 (.f64 7713234287776531/10000000000000 (-.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (.f64 (-.f64 3 z) (-.f64 (pow.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 2) (/.f64 6257345435636579942128840739161/40000000000000000000000000000 (pow.f64 (-.f64 5 z) 2))))) (*.f64 (-.f64 3 z) (-.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))
(/.f64 (fma.f64 (-.f64 (pow.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 2) (/.f64 6257345435636579942128840739161/40000000000000000000000000000 (pow.f64 (-.f64 5 z) 2))) (-.f64 3 z) (.f64 (-.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) 7713234287776531/10000000000000)) (.f64 (-.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (-.f64 3 z)))
(/.f64 (fma.f64 (+.f64 (pow.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 2) (/.f64 -6257345435636579942128840739161/40000000000000000000000000000 (pow.f64 (-.f64 5 z) 2))) (-.f64 3 z) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -2501468655737381/200000000000000 (-.f64 5 z))) 7713234287776531/10000000000000)) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -2501468655737381/200000000000000 (-.f64 5 z))) (-.f64 3 z)))
(/.f64 (+.f64 (.f64 -7713234287776531/10000000000000 (-.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (.f64 (neg.f64 (-.f64 3 z)) (-.f64 (pow.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 2) (/.f64 6257345435636579942128840739161/40000000000000000000000000000 (pow.f64 (-.f64 5 z) 2))))) (*.f64 (neg.f64 (-.f64 3 z)) (-.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))
(/.f64 (fma.f64 (-.f64 (pow.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 2) (/.f64 6257345435636579942128840739161/40000000000000000000000000000 (pow.f64 (-.f64 5 z) 2))) (neg.f64 (-.f64 3 z)) (.f64 (-.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) -7713234287776531/10000000000000)) (.f64 (-.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (neg.f64 (-.f64 3 z))))
(/.f64 (fma.f64 (+.f64 (pow.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 2) (/.f64 -6257345435636579942128840739161/40000000000000000000000000000 (pow.f64 (-.f64 5 z) 2))) (+.f64 -3 z) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -2501468655737381/200000000000000 (-.f64 5 z))) -7713234287776531/10000000000000)) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 -3 z)))
(pow.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 1)
(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(pow.f64 (pow.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 3) 1/3)
(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(pow.f64 (cbrt.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 3)
(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(pow.f64 (sqrt.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 2)
(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(sqrt.f64 (pow.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 2))
(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(log.f64 (exp.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))
(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(cbrt.f64 (pow.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 3))
(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(expm1.f64 (log1p.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(log1p.f64 (expm1.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(exp.f64 (log.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(exp.f64 (*.f64 (log.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 1))
(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(fma.f64 1 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(fma.f64 1 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))
(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(fma.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))
(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 2) (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))
(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) 2) (cbrt.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(fma.f64 (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))
(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (sqrt.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))

localize281.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(+.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 (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 (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	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 660 to 554 computations (16.1% saved)

series37.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
12.0ms	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)))))
6.0ms	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)))))
5.0ms	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))))
5.0ms	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	@	inf	(+.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))))

Compiler

Compiled 2038 to 1814 computations (11% saved)

rewrite87.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

648×	`add-log-exp_binary64`
647×	`log1p-expm1-u_binary64`
647×	`expm1-log1p-u_binary64`
646×	`add-cbrt-cube_binary64`
646×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	248
1	1318	248

Stop Event

1×	node limit

Counts

3 → 25

Calls

Call 1

Inputs
(*.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 (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 (+.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))))

Inputs

(*.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 (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 (+.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
((#(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)))))))))
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Outputs

((#(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)))))))))

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simplify104.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

314×	`associate-*l/_binary64`
274×	`associate-r_binary64`
268×	`distribute-rgt-out_binary64`
267×	`fma-def_binary64`
257×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	288	4046
1	928	3506
2	4484	3136

Stop Event

1×	node limit

Counts

61 → 119

Calls

Call 1

Inputs
(*.f64 (exp.f64 -15/2) (pow.f64 15/2 1/2))
(+.f64 (.f64 (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (pow.f64 15/2 1/2))) (.f64 (exp.f64 -15/2) (pow.f64 15/2 1/2))) z) (.f64 (exp.f64 -15/2) (pow.f64 15/2 1/2)))
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(expm1.f64 (log1p.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (-.f64 1 (-.f64 z 2))))) (+.f64 (+.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)))))))
(log1p.f64 (expm1.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (-.f64 1 (-.f64 z 2))))) (+.f64 (+.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)))))))
(exp.f64 (log.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (-.f64 1 (-.f64 z 2))))) (+.f64 (+.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 (exp.f64 -15/2) (pow.f64 15/2 1/2))
(*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))
(+.f64 (.f64 (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (pow.f64 15/2 1/2))) (.f64 (exp.f64 -15/2) (pow.f64 15/2 1/2))) z) (.f64 (exp.f64 -15/2) (pow.f64 15/2 1/2)))
(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 (exp.f64 -15/2) (sqrt.f64 15/2)))
(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 (pow.f64 z 2) (+.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) (pow.f64 15/2 1/2))) (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (pow.f64 15/2 1/2))) (.f64 1/2 (.f64 (exp.f64 -15/2) (pow.f64 15/2 1/2)))))) (+.f64 (.f64 (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (pow.f64 15/2 1/2))) (.f64 (exp.f64 -15/2) (pow.f64 15/2 1/2))) z) (.f64 (exp.f64 -15/2) (pow.f64 15/2 1/2))))
(fma.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))) (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 (exp.f64 -15/2) (sqrt.f64 15/2))))
(fma.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))) (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)))
(fma.f64 (.f64 z z) (.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 (+.f64 (.f64 z (fma.f64 -1 (log.f64 15/2) 14/15)) 1) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))
(+.f64 (.f64 (+.f64 (.f64 (exp.f64 -15/2) (.f64 (+.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 15/2 1/2))) (+.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) (pow.f64 15/2 1/2))) (+.f64 (.f64 1/6 (.f64 (exp.f64 -15/2) (pow.f64 15/2 1/2))) (.f64 1/2 (.f64 (exp.f64 -15/2) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (pow.f64 15/2 1/2))))))) (pow.f64 z 3)) (+.f64 (.f64 (pow.f64 z 2) (+.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) (pow.f64 15/2 1/2))) (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (pow.f64 15/2 1/2))) (.f64 1/2 (.f64 (exp.f64 -15/2) (pow.f64 15/2 1/2)))))) (+.f64 (.f64 (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (pow.f64 15/2 1/2))) (.f64 (exp.f64 -15/2) (pow.f64 15/2 1/2))) z) (*.f64 (exp.f64 -15/2) (pow.f64 15/2 1/2)))))
(fma.f64 (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 (+.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 1/6 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 1/2 (.f64 (.f64 (exp.f64 -15/2) (fma.f64 -1 (log.f64 15/2) -1/15)) (sqrt.f64 15/2)))))) (pow.f64 z 3) (fma.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))) (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 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(fma.f64 (+.f64 (fma.f64 1/2 (.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 (sqrt.f64 15/2) 1/6))) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (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)) (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2) 29/225)))) (pow.f64 z 3) (fma.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))) (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))))
(fma.f64 (+.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 (-.f64 -1/15 (log.f64 15/2)) 29/225 (fma.f64 1/6 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 3) 86/10125)) (+.f64 (fma.f64 1/2 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 2) 29/225) 1/6))) (.f64 (exp.f64 -15/2) (.f64 (.f64 (sqrt.f64 15/2) (-.f64 -1/15 (log.f64 15/2))) 1/2))) (pow.f64 z 3) (fma.f64 (.f64 z z) (.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 (+.f64 (.f64 z (fma.f64 -1 (log.f64 15/2) 14/15)) 1) (*.f64 (exp.f64 -15/2) (sqrt.f64 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 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))
(*.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 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))
(*.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 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))
(*.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 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 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 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))
(*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 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 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))
(*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 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 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))
(*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 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 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))
(*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (pow.f64 15/2 1/2)))
(.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 1106209385320415913103082059/4200000000000000000000000)
(.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000))
(+.f64 (.f64 (+.f64 (.f64 (pow.f64 15/2 1/2) (+.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) (pow.f64 15/2 1/2))))) z) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (pow.f64 15/2 1/2))))
(fma.f64 (fma.f64 (sqrt.f64 15/2) (.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000) (.f64 (.f64 (.f64 (exp.f64 -15/2) (fma.f64 -1 (log.f64 15/2) -1/15)) (sqrt.f64 15/2)) 1106209385320415913103082059/4200000000000000000000000)) z (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 1106209385320415913103082059/4200000000000000000000000))
(fma.f64 z (fma.f64 (.f64 (exp.f64 -15/2) 1106209385320415913103082059/4200000000000000000000000) (.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)))) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)))
(fma.f64 z (.f64 (exp.f64 -15/2) (+.f64 (.f64 (.f64 (sqrt.f64 15/2) (-.f64 -1/15 (log.f64 15/2))) 1106209385320415913103082059/4200000000000000000000000) (.f64 54901901787731453525296637639/78400000000000000000000000 (sqrt.f64 15/2)))) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)))
(+.f64 (.f64 (+.f64 (.f64 (pow.f64 15/2 1/2) (+.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) (pow.f64 15/2 1/2))))) z) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 1106209385320415913103082059/8400000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)) (.f64 64608921419941589693928044520019/118540800000000000000000000000 (exp.f64 -15/2)))) (pow.f64 15/2 1/2)) (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2))) (pow.f64 15/2 1/2))) (.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))) (pow.f64 15/2 1/2)))))) (pow.f64 z 2)) (.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (pow.f64 15/2 1/2)))))
(fma.f64 (fma.f64 (sqrt.f64 15/2) (.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000) (.f64 (.f64 (.f64 (exp.f64 -15/2) (fma.f64 -1 (log.f64 15/2) -1/15)) (sqrt.f64 15/2)) 1106209385320415913103082059/4200000000000000000000000)) z (fma.f64 (fma.f64 (fma.f64 1106209385320415913103082059/8400000000000000000000000 (exp.f64 -15/2) (.f64 (exp.f64 -15/2) 116398943231708128692755172596971/118540800000000000000000000000)) (sqrt.f64 15/2) (fma.f64 (fma.f64 -1 (log.f64 15/2) -1/15) (.f64 (sqrt.f64 15/2) (.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000)) (.f64 (.f64 (exp.f64 -15/2) 1106209385320415913103082059/4200000000000000000000000) (.f64 (sqrt.f64 15/2) (+.f64 29/225 (.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2))))))) (.f64 z z) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 1106209385320415913103082059/4200000000000000000000000)))
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(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 1 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
(expm1.f64 (log1p.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (-.f64 1 (-.f64 z 2))))) (+.f64 (+.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 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5)))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (-.f64 z 6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 1 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
(log1p.f64 (expm1.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (-.f64 1 (-.f64 z 2))))) (+.f64 (+.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 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5)))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (-.f64 z 6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 1 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
(exp.f64 (log.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (-.f64 1 (-.f64 z 2))))) (+.f64 (+.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 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5)))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (-.f64 z 6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 1 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))

localize211.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.0b	(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 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	(+.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)

series10.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	z	@	0	(*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))
2.0ms	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))))))
2.0ms	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))))))
1.0ms	z	@	-inf	(*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))
1.0ms	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))))))

Compiler

Compiled 705 to 641 computations (9.1% saved)

rewrite71.0ms (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 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(/.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 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(/.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))))))))))

simplify55.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

951×	`fma-def_binary64`
574×	`associate-+l+_binary64`
530×	`associate-+r+_binary64`
353×	`*-commutative_binary64`
235×	`+-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	173	1422
1	523	1364
2	2131	1231

Stop Event

1×	node limit

Counts

41 → 68

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 (pow.f64 (/.f64 1 z) 2))) (.f64 4919378858736341/200000000000000 (/.f64 1 z)))
(-.f64 (+.f64 (.f64 -2748699024162993/40000000000000 (pow.f64 (/.f64 1 z) 3)) (+.f64 9999999999998099/10000000000000000 (.f64 6868447169803563/40000000000000 (pow.f64 (/.f64 1 z) 2)))) (*.f64 4919378858736341/200000000000000 (/.f64 1 z)))
9999999999998099/10000000000000000
(-.f64 9999999999998099/10000000000000000 (*.f64 4919378858736341/200000000000000 (/.f64 1 z)))
(-.f64 (+.f64 (.f64 6868447169803563/40000000000000 (pow.f64 (/.f64 -1 z) 2)) 9999999999998099/10000000000000000) (.f64 4919378858736341/200000000000000 (/.f64 1 z)))
(-.f64 (+.f64 (.f64 6868447169803563/40000000000000 (pow.f64 (/.f64 -1 z) 2)) (+.f64 9999999999998099/10000000000000000 (.f64 2748699024162993/40000000000000 (pow.f64 (/.f64 -1 z) 3)))) (*.f64 4919378858736341/200000000000000 (/.f64 1 z)))
(*.f64 (exp.f64 -15/2) (pow.f64 15/2 1/2))
(+.f64 (.f64 (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (pow.f64 15/2 1/2))) (.f64 (exp.f64 -15/2) (pow.f64 15/2 1/2))) z) (.f64 (exp.f64 -15/2) (pow.f64 15/2 1/2)))
(+.f64 (.f64 (pow.f64 z 2) (+.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) (pow.f64 15/2 1/2))) (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (pow.f64 15/2 1/2))) (.f64 1/2 (.f64 (exp.f64 -15/2) (pow.f64 15/2 1/2)))))) (+.f64 (.f64 (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (pow.f64 15/2 1/2))) (.f64 (exp.f64 -15/2) (pow.f64 15/2 1/2))) z) (.f64 (exp.f64 -15/2) (pow.f64 15/2 1/2))))
(+.f64 (.f64 (+.f64 (.f64 (exp.f64 -15/2) (.f64 (+.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 15/2 1/2))) (+.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) (pow.f64 15/2 1/2))) (+.f64 (.f64 1/6 (.f64 (exp.f64 -15/2) (pow.f64 15/2 1/2))) (.f64 1/2 (.f64 (exp.f64 -15/2) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (pow.f64 15/2 1/2))))))) (pow.f64 z 3)) (+.f64 (.f64 (pow.f64 z 2) (+.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) (pow.f64 15/2 1/2))) (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (pow.f64 15/2 1/2))) (.f64 1/2 (.f64 (exp.f64 -15/2) (pow.f64 15/2 1/2)))))) (+.f64 (.f64 (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (pow.f64 15/2 1/2))) (.f64 (exp.f64 -15/2) (pow.f64 15/2 1/2))) z) (*.f64 (exp.f64 -15/2) (pow.f64 15/2 1/2)))))
(*.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 (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 7902188421553103227/30000000000000000 (fma.f64 39321001939258358983/90000000000000000 z (.f64 z (.f64 z 2943194126470171931171/5400000000000000000))))
(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 7902188421553103227/30000000000000000 (fma.f64 196563279258445065194677/324000000000000000000 (pow.f64 z 3) (fma.f64 39321001939258358983/90000000000000000 z (.f64 z (.f64 z 2943194126470171931171/5400000000000000000)))))
(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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(-.f64 9999999999998099/10000000000000000 (/.f64 4919378858736341/200000000000000 z))
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(-.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 6868447169803563/40000000000000 (pow.f64 (/.f64 1 z) 2))) (/.f64 4919378858736341/200000000000000 z))
(+.f64 9999999999998099/10000000000000000 (fma.f64 6868447169803563/40000000000000 (pow.f64 (/.f64 1 z) 2) (/.f64 -4919378858736341/200000000000000 z)))
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(+.f64 9999999999998099/10000000000000000 (-.f64 (+.f64 (/.f64 -2748699024162993/40000000000000 (pow.f64 z 3)) (/.f64 (/.f64 6868447169803563/40000000000000 z) z)) (/.f64 4919378858736341/200000000000000 z)))
9999999999998099/10000000000000000
(-.f64 9999999999998099/10000000000000000 (*.f64 4919378858736341/200000000000000 (/.f64 1 z)))
(-.f64 9999999999998099/10000000000000000 (/.f64 4919378858736341/200000000000000 z))
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(+.f64 9999999999998099/10000000000000000 (fma.f64 6868447169803563/40000000000000 (pow.f64 (/.f64 1 z) 2) (/.f64 -4919378858736341/200000000000000 z)))
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(*.f64 (exp.f64 -15/2) (pow.f64 15/2 1/2))
(*.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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(fma.f64 (.f64 z z) (.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 (+.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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(fma.f64 (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 (+.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 1/6 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 1/2 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (fma.f64 -1 (log.f64 15/2) -1/15))))))) (pow.f64 z 3) (fma.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))) (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 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(fma.f64 (pow.f64 z 3) (fma.f64 (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 (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) 1/6)))) (fma.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))) (fma.f64 (exp.f64 -15/2) (sqrt.f64 15/2) (.f64 (+.f64 (neg.f64 (log.f64 15/2)) 14/15) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z)))))
(fma.f64 (pow.f64 z 3) (+.f64 (.f64 (exp.f64 -15/2) (.f64 1/2 (.f64 (sqrt.f64 15/2) (-.f64 -1/15 (log.f64 15/2))))) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 (-.f64 -1/15 (log.f64 15/2)) 29/225 (fma.f64 1/6 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 3) 86/10125)) (+.f64 (.f64 1/2 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 2)) 133/450)))) (fma.f64 (.f64 z z) (.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 (+.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 (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)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))
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(+.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 9999999999998099/10000000000000000 (+.f64 (+.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 -3147848041806007/2500000000000 (-.f64 2 z))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.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)))))))
(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)))

eval1.1s (1.5%)

Compiler: Compiled 56147 to 43558 computations (22.4% saved)

prune204.0ms (0.3%)

Pruning

22 alts after pruning (21 fresh and 1 done)

	Pruned	Kept	Total
New	626	21	647
Fresh	0	0	0
Picked	1	0	1
Done	1	1	2
Total	628	22	650

Error

0.1b

Counts

650 → 22

Alt Table

Click to see full alt table

Status	Error	Program
	1.4b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (fma.f64 (.f64 z z) (.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 (+.f64 (.f64 z (fma.f64 -1 (log.f64 15/2) 14/15)) 1) (*.f64 (exp.f64 -15/2) (sqrt.f64 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)))))))
	1.0b	(.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)))))))
▶	0.4b	(.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 (-.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 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
▶	1.5b	(.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 -105381455914863113/10000000000000000 z) 41652288634797769/1000000000000000)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
	1.1b	(.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)))))))
▶	1.7b	(.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)) (.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 (/.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)))))))
	0.4b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 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 (+.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)))))))
	55.0b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (*.f64 9999999999998099/10000000000000000 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (-.f64 15/2 z)))))
	0.4b	(.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 (+.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 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5)))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (-.f64 z 6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
	62.5b	(.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 9999999999998099/10000000000000000 (/.f64 611458333333720910362579/25000000000000000000000 z)))))
	62.6b	(.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 1078390842009938509147167/6250000000000000000000 z) z) (+.f64 9999999999998099/10000000000000000 (/.f64 -611458333333720910362579/25000000000000000000000 z))))))
	1.7b	(.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 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)))))
▶	2.3b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 1106209385320415913103082059/4200000000000000000000000)))
▶	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 (.f64 (cbrt.f64 (.f64 2 (PI.f64))) (sqrt.f64 (cbrt.f64 (.f64 2 (PI.f64))))) (.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))))))
	0.8b	(.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 (-.f64 2 z) (.f64 (-.f64 10000000000000/6765203681218851 (/.f64 z 6765203681218851/10000000000000)) -3147848041806007/2500000000000)) (.f64 (-.f64 10000000000000/6765203681218851 (/.f64 z 6765203681218851/10000000000000)) (-.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))))))
	1.2b	(.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 -105381455914863113/10000000000000000 z) 41652288634797769/1000000000000000)) (+.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 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 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.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))))))
	1.2b	(.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 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))) (exp.f64 (+.f64 z -15/2))))))
	1.9b	(.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))))))

Compiler

Compiled 2915 to 2385 computations (18.2% saved)

localize400.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(-.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)))))))
	1.0b	(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 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 891 to 713 computations (20% saved)

series6.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

-inf

(-.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)))))))

2.0ms

inf

(-.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)))))))

1.0ms

(-.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)))))))

Compiler

Compiled 284 to 250 computations (12% saved)

rewrite70.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

388×	`add-sqr-sqrt_binary64`
370×	`add-cbrt-cube_binary64`
370×	`add-exp-log_binary64`
370×	`add-log-exp_binary64`
370×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	52
1	762	52

Stop Event

1×	node limit

Counts

1 → 42

Calls

Call 1

Inputs

(-.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)))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 2 z) 2)) (neg.f64 (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))))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 2 z) 2)) (*.f64 (neg.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 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(/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (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))))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 2 z) 2)) (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))))) 2)) (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 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9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 2 z) 2)) (neg.f64 (*.f64 (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))))) 2) 1))) (fma.f64 (neg.f64 (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))))) 2)) 1 (*.f64 (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))))) 2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 2 z) 2))) 2) (cbrt.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 2 z) 2))) (neg.f64 (*.f64 (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))))) 2) 1))) (fma.f64 (neg.f64 (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))))) 2)) 1 (*.f64 (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))))) 2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 2 z) 2))) (sqrt.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 2 z) 2))) (neg.f64 (*.f64 (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))))) 2) 1))) (fma.f64 (neg.f64 (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))))) 2)) 1 (*.f64 (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))))) 2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (neg.f64 (*.f64 (cbrt.f64 (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))))) 2)) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 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simplify81.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

811×	`distribute-rgt-in_binary64`
783×	`distribute-lft-in_binary64`
696×	`fma-def_binary64`
454×	`associate-l_binary64`
420×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	172	2488
1	441	2482
2	1462	2478

Stop Event

1×	node limit

Counts

54 → 73

Calls

Call 1

Inputs
-360943242034944373317421956869932881529/900000000000000000000000000000000
(-.f64 (*.f64 -1277255195125254633692865002311248325141/1350000000000000000000000000000000 z) 360943242034944373317421956869932881529/900000000000000000000000000000000)
(-.f64 (+.f64 (.f64 -1277255195125254633692865002311248325141/1350000000000000000000000000000000 z) (.f64 -4566794465034856450855310032074753063841/3000000000000000000000000000000000 (pow.f64 z 2))) 360943242034944373317421956869932881529/900000000000000000000000000000000)
(-.f64 (+.f64 (.f64 -10117905832946339418061742100836111975298539/4860000000000000000000000000000000000 (pow.f64 z 3)) (+.f64 (.f64 -1277255195125254633692865002311248325141/1350000000000000000000000000000000 z) (*.f64 -4566794465034856450855310032074753063841/3000000000000000000000000000000000 (pow.f64 z 2)))) 360943242034944373317421956869932881529/900000000000000000000000000000000)
-99999999999961980000000003613801/100000000000000000000000000000000
(-.f64 (*.f64 2567472222031680933530591684671199/1000000000000000000000000000000 (/.f64 1 z)) 99999999999961980000000003613801/100000000000000000000000000000000)
(-.f64 (+.f64 (.f64 -5785370112999625292897346258547783/100000000000000000000000000000 (pow.f64 (/.f64 1 z) 2)) (.f64 2567472222031680933530591684671199/1000000000000000000000000000000 (/.f64 1 z))) 99999999999961980000000003613801/100000000000000000000000000000000)
(-.f64 (+.f64 (.f64 65438114950027571051980966560408609/200000000000000000000000000000 (pow.f64 (/.f64 1 z) 3)) (+.f64 (.f64 -5785370112999625292897346258547783/100000000000000000000000000000 (pow.f64 (/.f64 1 z) 2)) (*.f64 2567472222031680933530591684671199/1000000000000000000000000000000 (/.f64 1 z)))) 99999999999961980000000003613801/100000000000000000000000000000000)
-99999999999961980000000003613801/100000000000000000000000000000000
(-.f64 (*.f64 2567472222031680933530591684671199/1000000000000000000000000000000 (/.f64 1 z)) 99999999999961980000000003613801/100000000000000000000000000000000)
(-.f64 (+.f64 (.f64 -5785370112999625292897346258547783/100000000000000000000000000000 (pow.f64 (/.f64 -1 z) 2)) (.f64 2567472222031680933530591684671199/1000000000000000000000000000000 (/.f64 1 z))) 99999999999961980000000003613801/100000000000000000000000000000000)
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(pow.f64 (pow.f64 (-.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 2 z) 2)) (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))))) 2)) 3) 1/3)
(pow.f64 (cbrt.f64 (-.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 2 z) 2)) (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))))) 2))) 3)
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(fma.f64 1 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 2 z) 2)) (neg.f64 (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))))) 2)))
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Outputs
-360943242034944373317421956869932881529/900000000000000000000000000000000
(-.f64 (*.f64 -1277255195125254633692865002311248325141/1350000000000000000000000000000000 z) 360943242034944373317421956869932881529/900000000000000000000000000000000)
(fma.f64 -1277255195125254633692865002311248325141/1350000000000000000000000000000000 z -360943242034944373317421956869932881529/900000000000000000000000000000000)
(-.f64 (+.f64 (.f64 -1277255195125254633692865002311248325141/1350000000000000000000000000000000 z) (.f64 -4566794465034856450855310032074753063841/3000000000000000000000000000000000 (pow.f64 z 2))) 360943242034944373317421956869932881529/900000000000000000000000000000000)
(+.f64 (fma.f64 -1277255195125254633692865002311248325141/1350000000000000000000000000000000 z (.f64 -4566794465034856450855310032074753063841/3000000000000000000000000000000000 (.f64 z z))) -360943242034944373317421956869932881529/900000000000000000000000000000000)
(fma.f64 -1277255195125254633692865002311248325141/1350000000000000000000000000000000 z (fma.f64 -4566794465034856450855310032074753063841/3000000000000000000000000000000000 (*.f64 z z) -360943242034944373317421956869932881529/900000000000000000000000000000000))
(fma.f64 -1277255195125254633692865002311248325141/1350000000000000000000000000000000 z (fma.f64 z (*.f64 z -4566794465034856450855310032074753063841/3000000000000000000000000000000000) -360943242034944373317421956869932881529/900000000000000000000000000000000))
(-.f64 (+.f64 (.f64 -10117905832946339418061742100836111975298539/4860000000000000000000000000000000000 (pow.f64 z 3)) (+.f64 (.f64 -1277255195125254633692865002311248325141/1350000000000000000000000000000000 z) (*.f64 -4566794465034856450855310032074753063841/3000000000000000000000000000000000 (pow.f64 z 2)))) 360943242034944373317421956869932881529/900000000000000000000000000000000)
(+.f64 (fma.f64 -10117905832946339418061742100836111975298539/4860000000000000000000000000000000000 (pow.f64 z 3) (fma.f64 -1277255195125254633692865002311248325141/1350000000000000000000000000000000 z (.f64 -4566794465034856450855310032074753063841/3000000000000000000000000000000000 (.f64 z z)))) -360943242034944373317421956869932881529/900000000000000000000000000000000)
(fma.f64 -10117905832946339418061742100836111975298539/4860000000000000000000000000000000000 (pow.f64 z 3) (fma.f64 -1277255195125254633692865002311248325141/1350000000000000000000000000000000 z (fma.f64 -4566794465034856450855310032074753063841/3000000000000000000000000000000000 (*.f64 z z) -360943242034944373317421956869932881529/900000000000000000000000000000000)))
(fma.f64 -10117905832946339418061742100836111975298539/4860000000000000000000000000000000000 (pow.f64 z 3) (fma.f64 -1277255195125254633692865002311248325141/1350000000000000000000000000000000 z (fma.f64 z (*.f64 z -4566794465034856450855310032074753063841/3000000000000000000000000000000000) -360943242034944373317421956869932881529/900000000000000000000000000000000)))
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(-.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 2 z) 2)) (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) 2))
(fma.f64 (sqrt.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 2 z) 2))) (sqrt.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 2 z) 2))) (*.f64 (neg.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 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 2 z) 2)) (pow.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)))))) 2))
(-.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 2 z) 2)) (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) 2))
(fma.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)))))) (fma.f64 (neg.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))))) (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))))) 2)))
(-.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 2 z) 2)) (pow.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)))))) 2))
(-.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 2 z) 2)) (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) 2))

localize36.0ms (0%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 74 to 53 computations (28.4% saved)

series6.0ms (0%)

Counts

3 → 12

Calls

3 calls:

Time	Variable		Point	Expression
4.0ms	z	@	0	(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
1.0ms	z	@	-inf	(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
1.0ms	z	@	inf	(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))

Compiler

Compiled 222 to 174 computations (21.6% saved)

rewrite68.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

595×	`log-prod_binary64`
343×	`pow-prod-down_binary64`
320×	`pow2_binary64`
243×	`prod-diff_binary64`
227×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	30
1	263	30
2	3044	30

Stop Event

1×	node limit

Counts

3 → 83

Calls

Call 1

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

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (*.f64 15/2 (exp.f64 -15))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 15/2 (exp.f64 -15)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 15/2 3/2) (exp.f64 -45/2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 15/2 1/6) (exp.f64 -5/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 15/2 1/4) (exp.f64 -15/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 15/2 (exp.f64 -15)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 15/2 3/2) (exp.f64 -45/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 1/2 (log.f64 15/2) -15/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 1/2 (log.f64 15/2) -15/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (fma.f64 1/2 (log.f64 15/2) -15/2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 -5/2 (log.f64 (pow.f64 15/2 1/6))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 -15/4 (*.f64 1/4 (log.f64 15/2))) 2))))))

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

simplify54.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

673×	`times-frac_binary64`
532×	`fma-def_binary64`
400×	`associate-/l*_binary64`
383×	`unswap-sqr_binary64`
357×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	273	1417
1	631	1326
2	1943	1263

Stop Event

1×	node limit

Counts

95 → 119

Calls

Call 1

Inputs
(/.f64 1 z)
(+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 (PI.f64) 3) z) (PI.f64))) (/.f64 1 z))
(+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 (PI.f64) 3) z) (PI.f64))) (+.f64 (/.f64 1 z) (.f64 -1 (.f64 (+.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (PI.f64))) (.f64 -1/36 (/.f64 (pow.f64 (pow.f64 (PI.f64) 3) 2) (pow.f64 (PI.f64) 2)))) (pow.f64 z 3)))))
(+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 (PI.f64) 3) z) (PI.f64))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/720 (/.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 5)) (pow.f64 (PI.f64) 2))) (+.f64 (.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) (PI.f64))) (.f64 1/6 (/.f64 (.f64 (+.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (PI.f64))) (.f64 -1/36 (/.f64 (pow.f64 (pow.f64 (PI.f64) 3) 2) (pow.f64 (PI.f64) 2)))) (pow.f64 (PI.f64) 3)) (PI.f64))))) (pow.f64 z 5))) (+.f64 (/.f64 1 z) (.f64 -1 (.f64 (+.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (PI.f64))) (*.f64 -1/36 (/.f64 (pow.f64 (pow.f64 (PI.f64) 3) 2) (pow.f64 (PI.f64) 2)))) (pow.f64 z 3))))))
(/.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 0 (.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15))) 1106209385320415913103082059/4200000000000000000000000))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15)))) 1106209385320415913103082059/4200000000000000000000000)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15)))) 1106209385320415913103082059/4200000000000000000000000))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15)))) 1106209385320415913103082059/4200000000000000000000000))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15)))) 1106209385320415913103082059/4200000000000000000000000))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15))) 1106209385320415913103082059/4200000000000000000000000))) 1)
(pow.f64 (.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15))) 1106209385320415913103082059/4200000000000000000000000) 1)
(pow.f64 (.f64 (.f64 15/2 (exp.f64 -15)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000) 1/2)
(pow.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15))) 1106209385320415913103082059/4200000000000000000000000) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15))) 1106209385320415913103082059/4200000000000000000000000)) 3)
(pow.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15))) 1106209385320415913103082059/4200000000000000000000000)) 2)
(sqrt.f64 (.f64 (.f64 15/2 (exp.f64 -15)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15)))) 1106209385320415913103082059/4200000000000000000000000))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15))) 1106209385320415913103082059/4200000000000000000000000))))
(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15))) 1106209385320415913103082059/4200000000000000000000000) 3))
(expm1.f64 (log1p.f64 (.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15))) 1106209385320415913103082059/4200000000000000000000000)))
(log1p.f64 (expm1.f64 (.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15))) 1106209385320415913103082059/4200000000000000000000000)))
(exp.f64 (+.f64 -15/2 (log.f64 (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000))))
(exp.f64 (.f64 (+.f64 -15/2 (log.f64 (.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000))) 1))
(exp.f64 (.f64 (.f64 3 (+.f64 -15/2 (log.f64 (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)))) 1/3))
(exp.f64 (.f64 (+.f64 -5/2 (log.f64 (cbrt.f64 (.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)))) 3))
(exp.f64 (.f64 (+.f64 -15/4 (log.f64 (sqrt.f64 (.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)))) 2))
(+.f64 0 (sqrt.f64 (*.f64 15/2 (exp.f64 -15))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15)))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15))))) 1)
(pow.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15))) 1)
(pow.f64 (*.f64 15/2 (exp.f64 -15)) 1/2)
(pow.f64 (*.f64 (pow.f64 15/2 3/2) (exp.f64 -45/2)) 1/3)
(pow.f64 (*.f64 (pow.f64 15/2 1/6) (exp.f64 -5/2)) 3)
(pow.f64 (*.f64 (pow.f64 15/2 1/4) (exp.f64 -15/4)) 2)
(sqrt.f64 (*.f64 15/2 (exp.f64 -15)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15))))))
(cbrt.f64 (*.f64 (pow.f64 15/2 3/2) (exp.f64 -45/2)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15)))))
(exp.f64 (fma.f64 1/2 (log.f64 15/2) -15/2))
(exp.f64 (*.f64 (fma.f64 1/2 (log.f64 15/2) -15/2) 1))
(exp.f64 (.f64 (.f64 3 (fma.f64 1/2 (log.f64 15/2) -15/2)) 1/3))
(exp.f64 (*.f64 (+.f64 -5/2 (log.f64 (pow.f64 15/2 1/6))) 3))
(exp.f64 (.f64 (+.f64 -15/4 (.f64 1/4 (log.f64 15/2))) 2))
(+.f64 0 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))))) 2)) (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 (pow.f64 (cbrt.f64 (PI.f64)) 2) (.f64 (cbrt.f64 (PI.f64)) (/.f64 1 (sin.f64 (*.f64 (PI.f64) z)))))
(.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))) (pow.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))) 2) (cbrt.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 (sqrt.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))) (sqrt.f64 (/.f64 (PI.f64) (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 (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 (pow.f64 (sin.f64 (.f64 (PI.f64) z)) -1/2) (/.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))) 2) 1/2)
(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)
(pow.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64)) 1) -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))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))))) 2))
(exp.f64 (.f64 (log.f64 (/.f64 (sin.f64 (.f64 (PI.f64) z)) (PI.f64))) -1))

Outputs
(/.f64 1 z)
(+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 (PI.f64) 3) z) (PI.f64))) (/.f64 1 z))
(fma.f64 1/6 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (PI.f64) z)) (/.f64 1 z))
(fma.f64 1/6 (*.f64 (pow.f64 (PI.f64) 2) z) (/.f64 1 z))
(+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 (PI.f64) 3) z) (PI.f64))) (+.f64 (/.f64 1 z) (.f64 -1 (.f64 (+.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (PI.f64))) (.f64 -1/36 (/.f64 (pow.f64 (pow.f64 (PI.f64) 3) 2) (pow.f64 (PI.f64) 2)))) (pow.f64 z 3)))))
(+.f64 (fma.f64 1/6 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (PI.f64) z)) (/.f64 1 z)) (neg.f64 (.f64 (fma.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (PI.f64)) (.f64 -1/36 (/.f64 (pow.f64 (pow.f64 (PI.f64) 3) 2) (pow.f64 (PI.f64) 2)))) (pow.f64 z 3))))
(-.f64 (fma.f64 1/6 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (PI.f64) z)) (/.f64 1 z)) (.f64 (fma.f64 -1/36 (/.f64 (pow.f64 (PI.f64) 6) (pow.f64 (PI.f64) 2)) (/.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (PI.f64))) (pow.f64 z 3)))
(-.f64 (fma.f64 1/6 (.f64 (pow.f64 (PI.f64) 2) z) (/.f64 1 z)) (.f64 (fma.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (PI.f64)) (*.f64 -1/36 (pow.f64 (PI.f64) 4))) (pow.f64 z 3)))
(+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 (PI.f64) 3) z) (PI.f64))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/720 (/.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 5)) (pow.f64 (PI.f64) 2))) (+.f64 (.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) (PI.f64))) (.f64 1/6 (/.f64 (.f64 (+.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (PI.f64))) (.f64 -1/36 (/.f64 (pow.f64 (pow.f64 (PI.f64) 3) 2) (pow.f64 (PI.f64) 2)))) (pow.f64 (PI.f64) 3)) (PI.f64))))) (pow.f64 z 5))) (+.f64 (/.f64 1 z) (.f64 -1 (.f64 (+.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (PI.f64))) (*.f64 -1/36 (/.f64 (pow.f64 (pow.f64 (PI.f64) 3) 2) (pow.f64 (PI.f64) 2)))) (pow.f64 z 3))))))
(fma.f64 1/6 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (PI.f64) z)) (fma.f64 -1 (.f64 (fma.f64 1/720 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 5))) (fma.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) (PI.f64)) (.f64 1/6 (/.f64 (fma.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (PI.f64)) (.f64 -1/36 (/.f64 (pow.f64 (pow.f64 (PI.f64) 3) 2) (pow.f64 (PI.f64) 2)))) (/.f64 (PI.f64) (pow.f64 (PI.f64) 3)))))) (pow.f64 z 5)) (+.f64 (/.f64 1 z) (neg.f64 (.f64 (fma.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (PI.f64)) (*.f64 -1/36 (/.f64 (pow.f64 (pow.f64 (PI.f64) 3) 2) (pow.f64 (PI.f64) 2)))) (pow.f64 z 3))))))
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(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(pow.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) 3)
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(pow.f64 (sqrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) 2)
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(pow.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64)) -1)
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(pow.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 3)) 1/3)
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(pow.f64 (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64)) 1) -1)
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(neg.f64 (/.f64 (PI.f64) (neg.f64 (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(sqrt.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 2))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(log.f64 (exp.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(cbrt.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 3))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(cbrt.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 3)))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(expm1.f64 (log1p.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(log1p.f64 (expm1.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(exp.f64 (log.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(exp.f64 (.f64 (log.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))) 1))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))) 1/3))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))))) 3))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))))) 2))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(exp.f64 (.f64 (log.f64 (/.f64 (sin.f64 (.f64 (PI.f64) z)) (PI.f64))) -1))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))

localize136.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(+.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 (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 (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 249 to 176 computations (29.3% saved)

series23.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	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 7902188421553103227/30000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
6.0ms	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 7902188421553103227/30000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
5.0ms	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 7902188421553103227/30000000000000000 (+.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 7902188421553103227/30000000000000000 (+.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 7902188421553103227/30000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))

Compiler

Compiled 1927 to 1689 computations (12.4% saved)

rewrite93.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

415×	`add-sqr-sqrt_binary64`
394×	`add-log-exp_binary64`
393×	`log1p-expm1-u_binary64`
393×	`expm1-log1p-u_binary64`
392×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	89
1	819	88

Stop Event

1×	node limit

Counts

2 → 34

Calls

Call 1

Inputs

(*.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 7902188421553103227/30000000000000000 (+.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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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (fma.f64 -1 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))))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (fma.f64 -1 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)))))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 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 *.f64 1 (+.f64 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 *.f64 (pow.f64 (cbrt.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) 2) (cbrt.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 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simplify87.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

490×	`associate-*r/_binary64`
451×	`associate-*l/_binary64`
305×	`unswap-sqr_binary64`
285×	`associate-r_binary64`
239×	`times-frac_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	264	2944
1	793	2829
2	3290	2615

Stop Event

1×	node limit

Counts

58 → 105

Calls

Call 1

Inputs
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1106209385320415913103082059/4200000000000000000000000
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7902188421553103227/30000000000000000
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7902188421553103227/30000000000000000
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(pow.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (fma.f64 -1 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))))))) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (fma.f64 -1 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)))))))) 3)
(pow.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (fma.f64 -1 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)))))))) 2)
(log.f64 (exp.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (fma.f64 -1 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)))))))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (fma.f64 -1 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))))))))))
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(expm1.f64 (log1p.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (fma.f64 -1 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)))))))))
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(exp.f64 (+.f64 (+.f64 (log.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)))) (-.f64 -15/2 (neg.f64 z))) (log.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(fma.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) 7902188421553103227/30000000000000000 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
(fma.f64 7902188421553103227/30000000000000000 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (.f64 (+.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 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) 1)
(*.f64 1 (+.f64 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 (cbrt.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) 2) (cbrt.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
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(/.f64 (+.f64 493448851681645071244654587925452777567818866739274158083/27000000000000000000000000000000000000000000000000 (pow.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) 3)) (+.f64 62444581849727925073340192313717813529/900000000000000000000000000000000 (-.f64 (pow.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) 2) (*.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(/.f64 (-.f64 62444581849727925073340192313717813529/900000000000000000000000000000000 (pow.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) 2)) (-.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
(pow.f64 (+.f64 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 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 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 7902188421553103227/30000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) 2)
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(log.f64 (+.f64 1 (expm1.f64 (+.f64 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 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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(log1p.f64 (expm1.f64 (+.f64 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 7902188421553103227/30000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(fma.f64 1 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) 7902188421553103227/30000000000000000)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) 2) (cbrt.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) 7902188421553103227/30000000000000000)
(fma.f64 (sqrt.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (sqrt.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) 7902188421553103227/30000000000000000)

Outputs
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 15/2 1/2))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (sqrt.f64 15/2))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (sqrt.f64 15/2) (exp.f64 -15/2))))
(+.f64 (.f64 (+.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 15/2 1/2) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (.f64 -2715848032326100368047161/705600000000000000000000000 (exp.f64 -15/2))))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 15/2 1/2)))))) z) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 15/2 1/2)))))
(fma.f64 (fma.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (sqrt.f64 15/2) (.f64 (exp.f64 -15/2) 185840460885797547300949738751/705600000000000000000000000)) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (sqrt.f64 15/2)) (fma.f64 -1 (log.f64 15/2) -1/15))))) z (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (sqrt.f64 15/2)))))
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(+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 7902188421553103227/30000000000000000 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (sqrt.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) 7902188421553103227/30000000000000000)
(+.f64 (+.f64 7902188421553103227/30000000000000000 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))
(+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 7902188421553103227/30000000000000000 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))

localize192.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(+.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 -105381455914863113/10000000000000000 z) 41652288634797769/1000000000000000)))) (+.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	(+.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 -105381455914863113/10000000000000000 z) 41652288634797769/1000000000000000))))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 422 to 319 computations (24.4% saved)

series8.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	z	@	-inf	(+.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 -105381455914863113/10000000000000000 z) 41652288634797769/1000000000000000)))) (+.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 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (-.f64 (*.f64 -105381455914863113/10000000000000000 z) 41652288634797769/1000000000000000)))) (+.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 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (-.f64 (*.f64 -105381455914863113/10000000000000000 z) 41652288634797769/1000000000000000))))
1.0ms	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 -105381455914863113/10000000000000000 z) 41652288634797769/1000000000000000))))
1.0ms	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 -105381455914863113/10000000000000000 z) 41652288634797769/1000000000000000))))

Compiler

Compiled 352 to 300 computations (14.8% saved)

rewrite99.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

492×	`add-sqr-sqrt_binary64`
470×	`add-cbrt-cube_binary64`
469×	`add-exp-log_binary64`
469×	`add-log-exp_binary64`
469×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	97
1	961	97

Stop Event

1×	node limit

Counts

2 → 22

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 -105381455914863113/10000000000000000 z) 41652288634797769/1000000000000000))))

(+.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 -105381455914863113/10000000000000000 z) 41652288634797769/1000000000000000)))) (+.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 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (fma.f64 -105381455914863113/10000000000000000 z -41652288634797769/1000000000000000)))))))) (#(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)) (fma.f64 -105381455914863113/10000000000000000 z -41652288634797769/1000000000000000))))) (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)) (fma.f64 -105381455914863113/10000000000000000 z -41652288634797769/1000000000000000)))))) (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)) (fma.f64 -105381455914863113/10000000000000000 z -41652288634797769/1000000000000000))))))))) (#(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)) (fma.f64 -105381455914863113/10000000000000000 z -41652288634797769/1000000000000000))))) (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)) (fma.f64 -105381455914863113/10000000000000000 z -41652288634797769/1000000000000000))))))))) (#(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)) (fma.f64 -105381455914863113/10000000000000000 z -41652288634797769/1000000000000000))) 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)) (fma.f64 -105381455914863113/10000000000000000 z -41652288634797769/1000000000000000))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 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((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (fma.f64 -105381455914863113/10000000000000000 z -41652288634797769/1000000000000000))) (+.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 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (fma.f64 -105381455914863113/10000000000000000 z -41652288634797769/1000000000000000))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 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simplify87.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

890×	`fma-def_binary64`
572×	`times-frac_binary64`
379×	`associate--r+_binary64`
330×	`+-commutative_binary64`
304×	`associate--l+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	155	1783
1	443	1697
2	2217	1528
3	7149	1528

Stop Event

1×	node limit

Counts

46 → 84

Calls

Call 1

Inputs
7902188421553103227/30000000000000000
(+.f64 7902188421553103227/30000000000000000 (*.f64 39321001939258358983/90000000000000000 z))
(+.f64 7902188421553103227/30000000000000000 (+.f64 (.f64 295755570232608827/540000000000000 (pow.f64 z 2)) (.f64 39321001939258358983/90000000000000000 z)))
(+.f64 7902188421553103227/30000000000000000 (+.f64 (.f64 295755570232608827/540000000000000 (pow.f64 z 2)) (+.f64 (.f64 1967803238479727281/3240000000000000 (pow.f64 z 3)) (*.f64 39321001939258358983/90000000000000000 z))))
(*.f64 -105381455914863113/10000000000000000 z)
(-.f64 (*.f64 -105381455914863113/10000000000000000 z) 406522886347979591/10000000000000000)
(-.f64 (.f64 -105381455914863113/10000000000000000 z) (+.f64 406522886347979591/10000000000000000 (.f64 943522900885677/5000000000000 (/.f64 1 z))))
(-.f64 (+.f64 (.f64 -1180530552525097/2500000000000 (pow.f64 (/.f64 1 z) 2)) (.f64 -105381455914863113/10000000000000000 z)) (+.f64 406522886347979591/10000000000000000 (*.f64 943522900885677/5000000000000 (/.f64 1 z))))
(*.f64 -105381455914863113/10000000000000000 z)
(-.f64 (*.f64 -105381455914863113/10000000000000000 z) 406522886347979591/10000000000000000)
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1106209385320415913103082059/4200000000000000000000000
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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)) (fma.f64 -105381455914863113/10000000000000000 z -41652288634797769/1000000000000000))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (fma.f64 -105381455914863113/10000000000000000 z -41652288634797769/1000000000000000))))) (-.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (fma.f64 -105381455914863113/10000000000000000 z -41652288634797769/1000000000000000)))))
(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)) (fma.f64 -105381455914863113/10000000000000000 z -41652288634797769/1000000000000000)))) 1)
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Outputs
7902188421553103227/30000000000000000
(+.f64 7902188421553103227/30000000000000000 (*.f64 39321001939258358983/90000000000000000 z))
(fma.f64 39321001939258358983/90000000000000000 z 7902188421553103227/30000000000000000)
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(fma.f64 39321001939258358983/90000000000000000 z (fma.f64 z (*.f64 z 295755570232608827/540000000000000) 7902188421553103227/30000000000000000))
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1106209385320415913103082059/4200000000000000000000000
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(/.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (fma.f64 z -105381455914863113/10000000000000000 -41652288634797769/1000000000000000)))) (+.f64 (/.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)
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(log.f64 (exp.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (fma.f64 -105381455914863113/10000000000000000 z -41652288634797769/1000000000000000))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (fma.f64 -105381455914863113/10000000000000000 z -41652288634797769/1000000000000000))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (fma.f64 z -105381455914863113/10000000000000000 -41652288634797769/1000000000000000) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))
(+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (fma.f64 z -105381455914863113/10000000000000000 -41652288634797769/1000000000000000)))) (+.f64 (/.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))))))
(cbrt.f64 (.f64 (.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (fma.f64 -105381455914863113/10000000000000000 z -41652288634797769/1000000000000000))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (fma.f64 -105381455914863113/10000000000000000 z -41652288634797769/1000000000000000))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (fma.f64 -105381455914863113/10000000000000000 z -41652288634797769/1000000000000000))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
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(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (fma.f64 z -105381455914863113/10000000000000000 -41652288634797769/1000000000000000) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))
(+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (fma.f64 z -105381455914863113/10000000000000000 -41652288634797769/1000000000000000)))) (+.f64 (/.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))))))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (fma.f64 -105381455914863113/10000000000000000 z -41652288634797769/1000000000000000))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (fma.f64 -105381455914863113/10000000000000000 z -41652288634797769/1000000000000000))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (fma.f64 z -105381455914863113/10000000000000000 -41652288634797769/1000000000000000) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))
(+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (fma.f64 z -105381455914863113/10000000000000000 -41652288634797769/1000000000000000)))) (+.f64 (/.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))))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (fma.f64 -105381455914863113/10000000000000000 z -41652288634797769/1000000000000000))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (fma.f64 -105381455914863113/10000000000000000 z -41652288634797769/1000000000000000))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (fma.f64 z -105381455914863113/10000000000000000 -41652288634797769/1000000000000000) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))
(+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (fma.f64 z -105381455914863113/10000000000000000 -41652288634797769/1000000000000000)))) (+.f64 (/.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))))))
(exp.f64 (log.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (fma.f64 -105381455914863113/10000000000000000 z -41652288634797769/1000000000000000))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (fma.f64 -105381455914863113/10000000000000000 z -41652288634797769/1000000000000000))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (fma.f64 z -105381455914863113/10000000000000000 -41652288634797769/1000000000000000) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))
(+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (fma.f64 z -105381455914863113/10000000000000000 -41652288634797769/1000000000000000)))) (+.f64 (/.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))))))

localize202.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	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 -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

rewrite72.0ms (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))))))

simplify61.0ms (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))

eval2.3s (3.2%)

Compiler: Compiled 114518 to 88304 computations (22.9% saved)

prune484.0ms (0.7%)

Pruning

32 alts after pruning (30 fresh and 2 done)

	Pruned	Kept	Total
New	1190	17	1207
Fresh	3	13	16
Picked	0	1	1
Done	4	1	5
Total	1197	32	1229

Error

0.0b

Counts

1229 → 32

Alt Table

Click to see full alt table

Status	Error	Program
	37.0b	(.f64 (/.f64 (PI.f64) (.f64 (sqrt.f64 (sin.f64 (.f64 z (PI.f64)))) (sqrt.f64 (sin.f64 (.f64 z (PI.f64)))))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 1106209385320415913103082059/4200000000000000000000000)))
	0.4b	(.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 (-.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 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
	1.5b	(.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 -105381455914863113/10000000000000000 z) 41652288634797769/1000000000000000)))) (+.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 -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)))))))
	1.1b	(.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)))))))
	1.7b	(.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 z 102757979785251069442117317613/235200000000000000000000000))))
▶	0.4b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 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 (/.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 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 (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 (/.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)))))))
	55.0b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (*.f64 9999999999998099/10000000000000000 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (-.f64 15/2 z)))))
	2.6b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (.f64 (pow.f64 15/2 3/2) (exp.f64 -45/2)) 1/3) 1106209385320415913103082059/4200000000000000000000000)))
	0.4b	(.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 (+.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 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5)))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (-.f64 z 6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
▶	62.5b	(.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 9999999999998099/10000000000000000 (/.f64 611458333333720910362579/25000000000000000000000 z)))))
	62.6b	(.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 1078390842009938509147167/6250000000000000000000 z) z) (+.f64 9999999999998099/10000000000000000 (/.f64 -611458333333720910362579/25000000000000000000000 z))))))
	1.7b	(.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 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)))))
	1.7b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 (.f64 (+.f64 -15/4 (*.f64 1/4 (log.f64 15/2))) 2)) 1106209385320415913103082059/4200000000000000000000000)))
	2.3b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (sqrt.f64 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000))))
▶	2.3b	(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 1106209385320415913103082059/4200000000000000000000000)))
	2.4b	(.f64 (.f64 (pow.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))) 2) (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 1106209385320415913103082059/4200000000000000000000000)))
	2.6b	(.f64 (.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 (PI.f64) z))) -2) (/.f64 (PI.f64) (cbrt.f64 (sin.f64 (.f64 (PI.f64) z))))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 1106209385320415913103082059/4200000000000000000000000)))
	2.2b	(.f64 (.f64 (/.f64 1 (sin.f64 (.f64 (PI.f64) z))) (PI.f64)) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 1106209385320415913103082059/4200000000000000000000000)))
	0.6b	(.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 (-.f64 2 z) (.f64 (-.f64 10000000000000/6765203681218851 (/.f64 z 6765203681218851/10000000000000)) -3147848041806007/2500000000000)) (.f64 (-.f64 10000000000000/6765203681218851 (/.f64 z 6765203681218851/10000000000000)) (-.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))))))
	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 (.f64 -3147848041806007/2500000000000 (-.f64 1 z)) (.f64 (-.f64 2 z) 6765203681218851/10000000000000)) (.f64 (-.f64 2 z) (-.f64 1 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))))))
✓	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))))))
	2.6b	(.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 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))))))
	1.9b	(.f64 (.f64 (cbrt.f64 (pow.f64 (PI.f64) 3/2)) (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 (.f64 (cbrt.f64 (.f64 2 (PI.f64))) (sqrt.f64 (cbrt.f64 (.f64 2 (PI.f64))))) (.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))))))
	0.8b	(.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 (-.f64 2 z) (.f64 (-.f64 10000000000000/6765203681218851 (/.f64 z 6765203681218851/10000000000000)) -3147848041806007/2500000000000)) (.f64 (-.f64 10000000000000/6765203681218851 (/.f64 z 6765203681218851/10000000000000)) (-.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 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 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.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))))))
	1.2b	(.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 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))) (exp.f64 (+.f64 z -15/2))))))
	1.9b	(.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))))))
	45.1b	(.f64 (cbrt.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) 3)) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 1106209385320415913103082059/4200000000000000000000000)))

Compiler

Compiled 3601 to 2937 computations (18.4% saved)

localize374.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.0b	(-.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)))))))
	1.0b	(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
✓	1.0b	(.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))))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 950 to 781 computations (17.8% saved)

series9.0ms (0%)

Counts

1 → 8

Calls

3 calls:

Time

Variable

Point

Expression

6.0ms

(*.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))))

1.0ms

-inf

(*.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))))

1.0ms

inf

(*.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))))

Compiler

Compiled 421 to 391 computations (7.1% saved)

rewrite52.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

759×	`prod-diff_binary64`
590×	`log-prod_binary64`
317×	`fma-def_binary64`
250×	`fma-neg_binary64`
223×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	23
1	304	18
2	4013	18

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

Inputs
(.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))))

Outputs

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

simplify52.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

779×	`associate-r_binary64`
717×	`fma-def_binary64`
483×	`distribute-lft-out_binary64`
323×	`distribute-rgt-in_binary64`
319×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	109	796
1	290	752
2	1070	674
3	6364	653

Stop Event

1×	node limit

Counts

27 → 44

Calls

Call 1

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

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

localize31.0ms (0%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 62 to 55 computations (11.3% saved)

series9.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

5.0ms

inf

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

3.0ms

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

1.0ms

-inf

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

Compiler

Compiled 192 to 180 computations (6.3% saved)

rewrite66.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

781×	`log-prod_binary64`
387×	`pow2_binary64`
353×	`pow-unpow_binary64`
276×	`pow1/3_binary64`
271×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	23
1	343	21
2	3884	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 (exp.f64 -15/2) (sqrt.f64 15/2)) 1106209385320415913103082059/4200000000000000000000000)))

Outputs

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

simplify63.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

700×	`log-prod_binary64`
472×	`associate-l_binary64`
451×	`times-frac_binary64`
437×	`associate-r_binary64`
274×	`log-div_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	116	1026
1	254	895
2	772	895
3	5105	893

Stop Event

1×	node limit

Counts

49 → 62

Calls

Call 1

Inputs
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (sqrt.f64 15/2))) z))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (sqrt.f64 15/2))) z))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (sqrt.f64 15/2))) z))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (sqrt.f64 15/2))) z))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (sqrt.f64 15/2))) z))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (sqrt.f64 15/2))) z))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (sqrt.f64 15/2))) z))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (sqrt.f64 15/2))) z))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (sqrt.f64 15/2))) z))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (sqrt.f64 15/2))) z))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (sqrt.f64 15/2))) z))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (sqrt.f64 15/2))) z))
(+.f64 0 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (.f64 15/2 (exp.f64 -15))))) z))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (.f64 15/2 (exp.f64 -15))))) z))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (.f64 15/2 (exp.f64 -15))))) z)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (.f64 15/2 (exp.f64 -15))))) z)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (.f64 15/2 (exp.f64 -15))))) z)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (.f64 15/2 (exp.f64 -15))))) z))) 1)
(/.f64 1 (/.f64 z (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (.f64 15/2 (exp.f64 -15)))))))
(/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 z (.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000))))
(/.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) (/.f64 z (sqrt.f64 (*.f64 (PI.f64) 2))))
(/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (.f64 15/2 (exp.f64 -15))))) z)
(/.f64 (cbrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (.f64 15/2 (exp.f64 -15))))) (/.f64 z (cbrt.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (.f64 15/2 (exp.f64 -15))))))))
(/.f64 (sqrt.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (.f64 15/2 (exp.f64 -15)))))) (/.f64 z (sqrt.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (.f64 15/2 (exp.f64 -15))))))))
(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (/.f64 z 1106209385320415913103082059/4200000000000000000000000))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (.f64 15/2 (exp.f64 -15)))))) (neg.f64 z))
(/.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (.f64 15/2 (exp.f64 -15))))) (sqrt.f64 z)) (sqrt.f64 z))
(/.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (.f64 15/2 (exp.f64 -15))))) 1) z)
(/.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (.f64 15/2 (exp.f64 -15))))) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(/.f64 (.f64 -1 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (*.f64 15/2 (exp.f64 -15)))))) (neg.f64 z))
(/.f64 (.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (*.f64 15/2 (exp.f64 -15))))) -1) (neg.f64 z))
(pow.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (.f64 15/2 (exp.f64 -15))))) z) 1)
(pow.f64 (.f64 (.f64 (.f64 (PI.f64) 2) (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (*.f64 15/2 (exp.f64 -15)))) (pow.f64 z -2)) 1/2)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (.f64 15/2 (exp.f64 -15))))) z) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (.f64 15/2 (exp.f64 -15))))) z)) 3)
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (.f64 15/2 (exp.f64 -15))))) z)) 2)
(pow.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (.f64 15/2 (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 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (*.f64 15/2 (exp.f64 -15))))) 3)) 1/3)
(pow.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (*.f64 15/2 (exp.f64 -15))))) 3) (pow.f64 (/.f64 1 z) 3)) 1/3)
(pow.f64 (/.f64 z (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (.f64 15/2 (exp.f64 -15)))))) -1)
(sqrt.f64 (.f64 (.f64 (.f64 (PI.f64) 2) (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (*.f64 15/2 (exp.f64 -15)))) (pow.f64 z -2)))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (.f64 15/2 (exp.f64 -15))))) z)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (.f64 15/2 (exp.f64 -15))))) z))))
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Outputs
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(cbrt.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (.f64 15/2 (exp.f64 -15))))) 3) (pow.f64 z 3)))
(/.f64 (sqrt.f64 (.f64 (.f64 2 (PI.f64)) (*.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)
(/.f64 (sqrt.f64 (/.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (exp.f64 15))) z)
(cbrt.f64 (.f64 (pow.f64 (/.f64 1 z) 3) (pow.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (*.f64 15/2 (exp.f64 -15))))) 3)))
(/.f64 (sqrt.f64 (.f64 (.f64 2 (PI.f64)) (*.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)
(/.f64 (sqrt.f64 (/.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (exp.f64 15))) z)
(cbrt.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (*.f64 15/2 (exp.f64 -15))))) 3) (pow.f64 (/.f64 1 z) 3)))
(/.f64 (sqrt.f64 (.f64 (.f64 2 (PI.f64)) (*.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)
(/.f64 (sqrt.f64 (/.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (exp.f64 15))) z)
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (.f64 15/2 (exp.f64 -15))))) z)))
(/.f64 (sqrt.f64 (.f64 (.f64 2 (PI.f64)) (*.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)
(/.f64 (sqrt.f64 (/.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (exp.f64 15))) z)
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (.f64 15/2 (exp.f64 -15))))) z)))
(/.f64 (sqrt.f64 (.f64 (.f64 2 (PI.f64)) (*.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)
(/.f64 (sqrt.f64 (/.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (exp.f64 15))) z)
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (.f64 15/2 (exp.f64 -15))))) z)))
(/.f64 (sqrt.f64 (.f64 (.f64 2 (PI.f64)) (*.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)
(/.f64 (sqrt.f64 (/.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (exp.f64 15))) z)
(exp.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (*.f64 15/2 (exp.f64 -15))))) z)) 1))
(/.f64 (sqrt.f64 (.f64 (.f64 2 (PI.f64)) (*.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)
(/.f64 (sqrt.f64 (/.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (exp.f64 15))) z)

localize116.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.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 9999999999998099/10000000000000000 (/.f64 611458333333720910362579/25000000000000000000000 z)))
✓	0.6b	(.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 9999999999998099/10000000000000000 (/.f64 611458333333720910362579/25000000000000000000000 z))))
	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	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 185 to 140 computations (24.3% saved)

series54.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
38.0ms	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 9999999999998099/10000000000000000 (/.f64 611458333333720910362579/25000000000000000000000 z)))
7.0ms	z	@	0	(.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 9999999999998099/10000000000000000 (/.f64 611458333333720910362579/25000000000000000000000 z))))
3.0ms	z	@	-inf	(.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 9999999999998099/10000000000000000 (/.f64 611458333333720910362579/25000000000000000000000 z))))
3.0ms	z	@	inf	(.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 9999999999998099/10000000000000000 (/.f64 611458333333720910362579/25000000000000000000000 z))))
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 9999999999998099/10000000000000000 (/.f64 611458333333720910362579/25000000000000000000000 z)))

Compiler

Compiled 1462 to 1330 computations (9% saved)

rewrite89.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

414×	`log1p-udef_binary64`
369×	`prod-diff_binary64`
249×	`add-sqr-sqrt_binary64`
235×	`add-log-exp_binary64`
234×	`pow1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	85
1	502	63
2	6574	63

Stop Event

1×	node limit

Counts

2 → 40

Calls

Call 1

Inputs

(*.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 9999999999998099/10000000000000000 (/.f64 611458333333720910362579/25000000000000000000000 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 9999999999998099/10000000000000000 (/.f64 611458333333720910362579/25000000000000000000000 z)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (-.f64 15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (*.f64 (/.f64 -611458333333720910362579/25000000000000000000000 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (-.f64 15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (-.f64 15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) 9999999999998099/10000000000000000) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (-.f64 15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 -611458333333720910362579/25000000000000000000000 z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (-.f64 15/2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 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(#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (-.f64 15/2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -611458333333720910362579/25000000000000000000000 z))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (-.f64 15/2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -611458333333720910362579/25000000000000000000000 z))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) 2) 3/2) (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (-.f64 15/2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -611458333333720910362579/25000000000000000000000 z)))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (*.f64 (/.f64 -611458333333720910362579/25000000000000000000000 z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) 9999999999998099/10000000000000000) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) (/.f64 -611458333333720910362579/25000000000000000000000 z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (-.f64 15/2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -611458333333720910362579/25000000000000000000000 z)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 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simplify101.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

604×	`times-frac_binary64`
376×	`unswap-sqr_binary64`
347×	`associate-/l*_binary64`
290×	`associate-r_binary64`
285×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	265	3054
1	803	3034
2	3322	2921

Stop Event

1×	node limit

Counts

64 → 110

Calls

Call 1

Inputs
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(-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -611458333333720910362579/25000000000000000000000 z))))))) 1)
(/.f64 (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (-.f64 15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (-.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (/.f64 228612832529008218773333374170373100626313392698411571449045763623830539/15625000000000000000000000000000000000000000000000000000000000000000 (pow.f64 z 3)))) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (+.f64 (/.f64 373881293403251752186459607854842487785243531241/625000000000000000000000000000000000000000000 (*.f64 z z)) (/.f64 6114583333336046721334122596549400737321/250000000000000000000000000000000000000 z))))
(/.f64 (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (-.f64 15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 373881293403251752186459607854842487785243531241/625000000000000000000000000000000000000000000 (*.f64 z z)))) (+.f64 9999999999998099/10000000000000000 (/.f64 611458333333720910362579/25000000000000000000000 z)))
(pow.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -611458333333720910362579/25000000000000000000000 z))))) 1)
(pow.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -611458333333720910362579/25000000000000000000000 z))))) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -611458333333720910362579/25000000000000000000000 z)))))) 3)
(pow.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -611458333333720910362579/25000000000000000000000 z)))))) 2)
(sqrt.f64 (.f64 (.f64 (PI.f64) 2) (pow.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -611458333333720910362579/25000000000000000000000 z)))) 2)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (.f64 (PI.f64) 2))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (-.f64 15/2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -611458333333720910362579/25000000000000000000000 z))))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -611458333333720910362579/25000000000000000000000 z))))))))
(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -611458333333720910362579/25000000000000000000000 z))))) 3))
(cbrt.f64 (.f64 (pow.f64 (.f64 (PI.f64) 2) 3/2) (pow.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -611458333333720910362579/25000000000000000000000 z)))) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -611458333333720910362579/25000000000000000000000 z)))) 3) (pow.f64 (.f64 (PI.f64) 2) 3/2)))
(expm1.f64 (log1p.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -611458333333720910362579/25000000000000000000000 z)))))))
(log1p.f64 (expm1.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -611458333333720910362579/25000000000000000000000 z)))))))
(exp.f64 (log.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -611458333333720910362579/25000000000000000000000 z)))))))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (-.f64 15/2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -611458333333720910362579/25000000000000000000000 z)))))) 1))
(+.f64 (.f64 9999999999998099/10000000000000000 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (.f64 (/.f64 -611458333333720910362579/25000000000000000000000 z) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))))
(+.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) 9999999999998099/10000000000000000) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) (/.f64 -611458333333720910362579/25000000000000000000000 z)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -611458333333720910362579/25000000000000000000000 z)))))) 1)
(/.f64 (.f64 (-.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (/.f64 228612832529008218773333374170373100626313392698411571449045763623830539/15625000000000000000000000000000000000000000000000000000000000000000 (pow.f64 z 3))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (+.f64 (/.f64 373881293403251752186459607854842487785243531241/625000000000000000000000000000000000000000000 (*.f64 z z)) (/.f64 6114583333336046721334122596549400737321/250000000000000000000000000000000000000 z))))
(/.f64 (.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 373881293403251752186459607854842487785243531241/625000000000000000000000000000000000000000000 (.f64 z z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (+.f64 9999999999998099/10000000000000000 (/.f64 611458333333720910362579/25000000000000000000000 z)))
(/.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) (-.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (/.f64 228612832529008218773333374170373100626313392698411571449045763623830539/15625000000000000000000000000000000000000000000000000000000000000000 (pow.f64 z 3)))) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (+.f64 (/.f64 373881293403251752186459607854842487785243531241/625000000000000000000000000000000000000000000 (*.f64 z z)) (/.f64 6114583333336046721334122596549400737321/250000000000000000000000000000000000000 z))))
(/.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 373881293403251752186459607854842487785243531241/625000000000000000000000000000000000000000000 (*.f64 z z)))) (+.f64 9999999999998099/10000000000000000 (/.f64 611458333333720910362579/25000000000000000000000 z)))
(pow.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -611458333333720910362579/25000000000000000000000 z)))) 1)
(pow.f64 (pow.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -611458333333720910362579/25000000000000000000000 z)))) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -611458333333720910362579/25000000000000000000000 z))))) 3)
(pow.f64 (sqrt.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -611458333333720910362579/25000000000000000000000 z))))) 2)
(sqrt.f64 (pow.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -611458333333720910362579/25000000000000000000000 z)))) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (exp.f64 (-.f64 15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 -611458333333720910362579/25000000000000000000000 z))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -611458333333720910362579/25000000000000000000000 z)))))))
(cbrt.f64 (pow.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -611458333333720910362579/25000000000000000000000 z)))) 3))
(cbrt.f64 (.f64 (pow.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) 3) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -611458333333720910362579/25000000000000000000000 z)) 3)))
(cbrt.f64 (.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -611458333333720910362579/25000000000000000000000 z)) 3) (pow.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) 3)))
(expm1.f64 (log1p.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -611458333333720910362579/25000000000000000000000 z))))))
(log1p.f64 (expm1.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -611458333333720910362579/25000000000000000000000 z))))))
(exp.f64 (+.f64 (log.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -611458333333720910362579/25000000000000000000000 z))) (+.f64 (-.f64 15/2 z) (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z))))))
(exp.f64 (.f64 (+.f64 (log.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -611458333333720910362579/25000000000000000000000 z))) (+.f64 (-.f64 15/2 z) (.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z))))) 1))

Outputs
(.f64 -611458333333720910362579/25000000000000000000000 (/.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 15/2 1/2))) z))
(.f64 -611458333333720910362579/25000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (sqrt.f64 15/2)))))
(.f64 -611458333333720910362579/25000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 (/.f64 z (sqrt.f64 15/2)) (sqrt.f64 (.f64 2 (PI.f64))))))
(.f64 (.f64 (/.f64 -611458333333720910362579/25000000000000000000000 z) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (.f64 2 (PI.f64))))
(+.f64 (.f64 -611458333333720910362579/25000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 15/2 1/2))))) (+.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 15/2 1/2) (+.f64 (.f64 9999999999998099/10000000000000000 (exp.f64 -15/2)) (.f64 -611458333333720910362579/25000000000000000000000 (exp.f64 -15/2))))) (.f64 -611458333333720910362579/25000000000000000000000 (/.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 15/2 1/2))) z))))
(fma.f64 -611458333333720910362579/25000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (sqrt.f64 15/2)) (fma.f64 -1 (log.f64 15/2) -1/15))) (fma.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (sqrt.f64 15/2) (.f64 (exp.f64 -15/2) -586458333333725662862579/25000000000000000000000)) (.f64 -611458333333720910362579/25000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (sqrt.f64 15/2)))))))
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(.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (+.f64 9999999999998099/10000000000000000 (/.f64 -611458333333720910362579/25000000000000000000000 z)))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -611458333333720910362579/25000000000000000000000 z)))))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (exp.f64 (-.f64 15/2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -611458333333720910362579/25000000000000000000000 z)))))
(cbrt.f64 (.f64 (pow.f64 (.f64 (PI.f64) 2) 3/2) (pow.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -611458333333720910362579/25000000000000000000000 z)))) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 2 (PI.f64)) 3/2) (pow.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -611458333333720910362579/25000000000000000000000 z)))) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -611458333333720910362579/25000000000000000000000 z)))) 3) (pow.f64 (.f64 (PI.f64) 2) 3/2)))
(cbrt.f64 (.f64 (pow.f64 (.f64 2 (PI.f64)) 3/2) (pow.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -611458333333720910362579/25000000000000000000000 z)))) 3)))
(expm1.f64 (log1p.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -611458333333720910362579/25000000000000000000000 z)))))))
(.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (+.f64 9999999999998099/10000000000000000 (/.f64 -611458333333720910362579/25000000000000000000000 z)))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -611458333333720910362579/25000000000000000000000 z)))))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (exp.f64 (-.f64 15/2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -611458333333720910362579/25000000000000000000000 z)))))
(log1p.f64 (expm1.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -611458333333720910362579/25000000000000000000000 z)))))))
(.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (+.f64 9999999999998099/10000000000000000 (/.f64 -611458333333720910362579/25000000000000000000000 z)))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -611458333333720910362579/25000000000000000000000 z)))))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (exp.f64 (-.f64 15/2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -611458333333720910362579/25000000000000000000000 z)))))
(exp.f64 (log.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -611458333333720910362579/25000000000000000000000 z)))))))
(.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (+.f64 9999999999998099/10000000000000000 (/.f64 -611458333333720910362579/25000000000000000000000 z)))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -611458333333720910362579/25000000000000000000000 z)))))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (exp.f64 (-.f64 15/2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -611458333333720910362579/25000000000000000000000 z)))))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (-.f64 15/2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -611458333333720910362579/25000000000000000000000 z)))))) 1))
(.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (+.f64 9999999999998099/10000000000000000 (/.f64 -611458333333720910362579/25000000000000000000000 z)))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -611458333333720910362579/25000000000000000000000 z)))))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (exp.f64 (-.f64 15/2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -611458333333720910362579/25000000000000000000000 z)))))
(+.f64 (.f64 9999999999998099/10000000000000000 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (.f64 (/.f64 -611458333333720910362579/25000000000000000000000 z) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -611458333333720910362579/25000000000000000000000 z))))
(+.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) 9999999999998099/10000000000000000) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) (/.f64 -611458333333720910362579/25000000000000000000000 z)))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -611458333333720910362579/25000000000000000000000 z))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -611458333333720910362579/25000000000000000000000 z)))))) 1)
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -611458333333720910362579/25000000000000000000000 z))))
(/.f64 (.f64 (-.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (/.f64 228612832529008218773333374170373100626313392698411571449045763623830539/15625000000000000000000000000000000000000000000000000000000000000000 (pow.f64 z 3))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (+.f64 (/.f64 373881293403251752186459607854842487785243531241/625000000000000000000000000000000000000000000 (*.f64 z z)) (/.f64 6114583333336046721334122596549400737321/250000000000000000000000000000000000000 z))))
(/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) (/.f64 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (+.f64 (/.f64 373881293403251752186459607854842487785243531241/625000000000000000000000000000000000000000000 (.f64 z z)) (/.f64 6114583333336046721334122596549400737321/250000000000000000000000000000000000000 z))) (-.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (/.f64 228612832529008218773333374170373100626313392698411571449045763623830539/15625000000000000000000000000000000000000000000000000000000000000000 (pow.f64 z 3)))))
(.f64 (/.f64 (-.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (/.f64 228612832529008218773333374170373100626313392698411571449045763623830539/15625000000000000000000000000000000000000000000000000000000000000000 (pow.f64 z 3))) (+.f64 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 6114583333336046721334122596549400737321/250000000000000000000000000000000000000 z)) (/.f64 373881293403251752186459607854842487785243531241/625000000000000000000000000000000000000000000 (.f64 z z)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))))
(.f64 (/.f64 (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (/.f64 -228612832529008218773333374170373100626313392698411571449045763623830539/15625000000000000000000000000000000000000000000000000000000000000000 (pow.f64 z 3))) (+.f64 (/.f64 373881293403251752186459607854842487785243531241/625000000000000000000000000000000000000000000 (.f64 z z)) (+.f64 (/.f64 6114583333336046721334122596549400737321/250000000000000000000000000000000000000 z) 99999999999961980000000003613801/100000000000000000000000000000000))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))))
(/.f64 (.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 373881293403251752186459607854842487785243531241/625000000000000000000000000000000000000000000 (.f64 z z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (+.f64 9999999999998099/10000000000000000 (/.f64 611458333333720910362579/25000000000000000000000 z)))
(/.f64 (.f64 (.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 373881293403251752186459607854842487785243531241/625000000000000000000000000000000000000000000 (*.f64 z z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (-.f64 15/2 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 611458333333720910362579/25000000000000000000000 z)))
(.f64 (/.f64 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 -373881293403251752186459607854842487785243531241/625000000000000000000000000000000000000000000 (.f64 z z))) (+.f64 9999999999998099/10000000000000000 (/.f64 611458333333720910362579/25000000000000000000000 z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))))
(/.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) (-.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (/.f64 228612832529008218773333374170373100626313392698411571449045763623830539/15625000000000000000000000000000000000000000000000000000000000000000 (pow.f64 z 3)))) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (+.f64 (/.f64 373881293403251752186459607854842487785243531241/625000000000000000000000000000000000000000000 (*.f64 z z)) (/.f64 6114583333336046721334122596549400737321/250000000000000000000000000000000000000 z))))
(/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) (/.f64 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (+.f64 (/.f64 373881293403251752186459607854842487785243531241/625000000000000000000000000000000000000000000 (.f64 z z)) (/.f64 6114583333336046721334122596549400737321/250000000000000000000000000000000000000 z))) (-.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (/.f64 228612832529008218773333374170373100626313392698411571449045763623830539/15625000000000000000000000000000000000000000000000000000000000000000 (pow.f64 z 3)))))
(.f64 (/.f64 (-.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (/.f64 228612832529008218773333374170373100626313392698411571449045763623830539/15625000000000000000000000000000000000000000000000000000000000000000 (pow.f64 z 3))) (+.f64 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 6114583333336046721334122596549400737321/250000000000000000000000000000000000000 z)) (/.f64 373881293403251752186459607854842487785243531241/625000000000000000000000000000000000000000000 (.f64 z z)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))))
(.f64 (/.f64 (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (/.f64 -228612832529008218773333374170373100626313392698411571449045763623830539/15625000000000000000000000000000000000000000000000000000000000000000 (pow.f64 z 3))) (+.f64 (/.f64 373881293403251752186459607854842487785243531241/625000000000000000000000000000000000000000000 (.f64 z z)) (+.f64 (/.f64 6114583333336046721334122596549400737321/250000000000000000000000000000000000000 z) 99999999999961980000000003613801/100000000000000000000000000000000))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))))
(/.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 373881293403251752186459607854842487785243531241/625000000000000000000000000000000000000000000 (*.f64 z z)))) (+.f64 9999999999998099/10000000000000000 (/.f64 611458333333720910362579/25000000000000000000000 z)))
(/.f64 (.f64 (.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 373881293403251752186459607854842487785243531241/625000000000000000000000000000000000000000000 (*.f64 z z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (-.f64 15/2 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 611458333333720910362579/25000000000000000000000 z)))
(.f64 (/.f64 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 -373881293403251752186459607854842487785243531241/625000000000000000000000000000000000000000000 (.f64 z z))) (+.f64 9999999999998099/10000000000000000 (/.f64 611458333333720910362579/25000000000000000000000 z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))))
(pow.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -611458333333720910362579/25000000000000000000000 z)))) 1)
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -611458333333720910362579/25000000000000000000000 z))))
(pow.f64 (pow.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -611458333333720910362579/25000000000000000000000 z)))) 3) 1/3)
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -611458333333720910362579/25000000000000000000000 z))))
(pow.f64 (cbrt.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -611458333333720910362579/25000000000000000000000 z))))) 3)
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -611458333333720910362579/25000000000000000000000 z))))
(pow.f64 (sqrt.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -611458333333720910362579/25000000000000000000000 z))))) 2)
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -611458333333720910362579/25000000000000000000000 z))))
(sqrt.f64 (pow.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -611458333333720910362579/25000000000000000000000 z)))) 2))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -611458333333720910362579/25000000000000000000000 z))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (exp.f64 (-.f64 15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 -611458333333720910362579/25000000000000000000000 z))))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -611458333333720910362579/25000000000000000000000 z))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -611458333333720910362579/25000000000000000000000 z)))))))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -611458333333720910362579/25000000000000000000000 z))))
(cbrt.f64 (pow.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -611458333333720910362579/25000000000000000000000 z)))) 3))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -611458333333720910362579/25000000000000000000000 z))))
(cbrt.f64 (.f64 (pow.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) 3) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -611458333333720910362579/25000000000000000000000 z)) 3)))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -611458333333720910362579/25000000000000000000000 z))))
(cbrt.f64 (.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -611458333333720910362579/25000000000000000000000 z)) 3) (pow.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) 3)))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -611458333333720910362579/25000000000000000000000 z))))
(expm1.f64 (log1p.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -611458333333720910362579/25000000000000000000000 z))))))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -611458333333720910362579/25000000000000000000000 z))))
(log1p.f64 (expm1.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -611458333333720910362579/25000000000000000000000 z))))))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -611458333333720910362579/25000000000000000000000 z))))
(exp.f64 (+.f64 (log.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -611458333333720910362579/25000000000000000000000 z))) (+.f64 (-.f64 15/2 z) (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z))))))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -611458333333720910362579/25000000000000000000000 z))))
(exp.f64 (.f64 (+.f64 (log.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -611458333333720910362579/25000000000000000000000 z))) (+.f64 (-.f64 15/2 z) (.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z))))) 1))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -611458333333720910362579/25000000000000000000000 z))))

localize277.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.0b	(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
✓	1.0b	(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))
	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)

series6.0ms (0%)

Counts

1 → 8

Calls

3 calls:

Time

Variable

Point

Expression

4.0ms

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

1.0ms

-inf

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

1.0ms

inf

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

Compiler

Compiled 421 to 391 computations (7.1% saved)

rewrite54.0ms (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))))))

simplify57.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

622×	`associate-l_binary64`
590×	`fma-def_binary64`
550×	`associate-r_binary64`
295×	`times-frac_binary64`
282×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	120	877
1	334	759
2	1107	723
3	6997	723

Stop Event

1×	node limit

Counts

31 → 42

Calls

Call 1

Inputs
(*.f64 (exp.f64 -15/2) (pow.f64 15/2 1/2))
(+.f64 (.f64 (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (pow.f64 15/2 1/2))) (.f64 (exp.f64 -15/2) (pow.f64 15/2 1/2))) z) (.f64 (exp.f64 -15/2) (pow.f64 15/2 1/2)))
(+.f64 (.f64 (pow.f64 z 2) (+.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) (pow.f64 15/2 1/2))) (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (pow.f64 15/2 1/2))) (.f64 1/2 (.f64 (exp.f64 -15/2) (pow.f64 15/2 1/2)))))) (+.f64 (.f64 (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (pow.f64 15/2 1/2))) (.f64 (exp.f64 -15/2) (pow.f64 15/2 1/2))) z) (.f64 (exp.f64 -15/2) (pow.f64 15/2 1/2))))
(+.f64 (.f64 (+.f64 (.f64 (exp.f64 -15/2) (.f64 (+.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 15/2 1/2))) (+.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) (pow.f64 15/2 1/2))) (+.f64 (.f64 1/6 (.f64 (exp.f64 -15/2) (pow.f64 15/2 1/2))) (.f64 1/2 (.f64 (exp.f64 -15/2) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (pow.f64 15/2 1/2))))))) (pow.f64 z 3)) (+.f64 (.f64 (pow.f64 z 2) (+.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) (pow.f64 15/2 1/2))) (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (pow.f64 15/2 1/2))) (.f64 1/2 (.f64 (exp.f64 -15/2) (pow.f64 15/2 1/2)))))) (+.f64 (.f64 (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (pow.f64 15/2 1/2))) (.f64 (exp.f64 -15/2) (pow.f64 15/2 1/2))) z) (*.f64 (exp.f64 -15/2) (pow.f64 15/2 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 (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) (pow.f64 15/2 1/2))
(*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))
(+.f64 (.f64 (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (pow.f64 15/2 1/2))) (.f64 (exp.f64 -15/2) (pow.f64 15/2 1/2))) z) (.f64 (exp.f64 -15/2) (pow.f64 15/2 1/2)))
(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 (exp.f64 -15/2) (sqrt.f64 15/2)))
(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 (pow.f64 z 2) (+.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) (pow.f64 15/2 1/2))) (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (pow.f64 15/2 1/2))) (.f64 1/2 (.f64 (exp.f64 -15/2) (pow.f64 15/2 1/2)))))) (+.f64 (.f64 (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (pow.f64 15/2 1/2))) (.f64 (exp.f64 -15/2) (pow.f64 15/2 1/2))) z) (.f64 (exp.f64 -15/2) (pow.f64 15/2 1/2))))
(fma.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))) (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 (exp.f64 -15/2) (sqrt.f64 15/2))))
(fma.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))) (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)))
(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 (+.f64 (.f64 (exp.f64 -15/2) (.f64 (+.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 15/2 1/2))) (+.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) (pow.f64 15/2 1/2))) (+.f64 (.f64 1/6 (.f64 (exp.f64 -15/2) (pow.f64 15/2 1/2))) (.f64 1/2 (.f64 (exp.f64 -15/2) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (pow.f64 15/2 1/2))))))) (pow.f64 z 3)) (+.f64 (.f64 (pow.f64 z 2) (+.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) (pow.f64 15/2 1/2))) (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (pow.f64 15/2 1/2))) (.f64 1/2 (.f64 (exp.f64 -15/2) (pow.f64 15/2 1/2)))))) (+.f64 (.f64 (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (pow.f64 15/2 1/2))) (.f64 (exp.f64 -15/2) (pow.f64 15/2 1/2))) z) (*.f64 (exp.f64 -15/2) (pow.f64 15/2 1/2)))))
(fma.f64 (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 (+.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 1/6 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 1/2 (.f64 (.f64 (exp.f64 -15/2) (fma.f64 -1 (log.f64 15/2) -1/15)) (sqrt.f64 15/2)))))) (pow.f64 z 3) (fma.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))) (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 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(fma.f64 (fma.f64 (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 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) 1/2)) (fma.f64 -1 (log.f64 15/2) -1/15)) (.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) 1/6)))) (pow.f64 z 3) (fma.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))) (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))))
(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)) (fma.f64 (+.f64 (.f64 (exp.f64 -15/2) (.f64 1/2 (.f64 (sqrt.f64 15/2) (-.f64 -1/15 (log.f64 15/2))))) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 1/6 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 3) (+.f64 (.f64 (log.f64 15/2) -29/225) -1/10125)) (+.f64 (.f64 1/2 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 2)) 133/450)))) (pow.f64 z 3) (.f64 (+.f64 (.f64 z (fma.f64 -1 (log.f64 15/2) 14/15)) 1) (*.f64 (exp.f64 -15/2) (sqrt.f64 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 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)))

localize266.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.0b	(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
	1.0b	(.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))))
	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 538 to 434 computations (19.3% saved)

eval2.4s (3.3%)

Compiler: Compiled 111982 to 89736 computations (19.9% saved)

prune611.0ms (0.8%)

Pruning

54 alts after pruning (50 fresh and 4 done)

	Pruned	Kept	Total
New	1112	34	1146
Fresh	9	16	25
Picked	0	1	1
Done	3	3	6
Total	1124	54	1178

Error

0.0b

Counts

1178 → 54

Alt Table

Click to see full alt table

Status	Error	Program
	37.0b	(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (.f64 15/2 (exp.f64 -15))))) z)) 2)
	2.1b	(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (/.f64 z 1106209385320415913103082059/4200000000000000000000000))
	2.4b	(/.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) (/.f64 z (sqrt.f64 (*.f64 (PI.f64) 2))))
▶	2.3b	(/.f64 (sqrt.f64 (/.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (exp.f64 15))) z)
	2.4b	(/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 z (.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000))))
	2.0b	(/.f64 (sqrt.f64 15/2) (/.f64 (/.f64 z 1106209385320415913103082059/4200000000000000000000000) (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 2 (PI.f64))))))
	2.7b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 2 (PI.f64)))) 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 (/.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 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
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	1.9b	(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z)))
	2.0b	(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 2 (PI.f64)))) (sqrt.f64 15/2)) z))
	2.0b	(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 (/.f64 z (sqrt.f64 (.f64 2 (PI.f64)))) (sqrt.f64 15/2))))
	49.3b	(sqrt.f64 (.f64 (.f64 (.f64 2 (PI.f64)) (.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000 (exp.f64 -15))) (pow.f64 z -2)))
	49.3b	(sqrt.f64 (.f64 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (*.f64 (PI.f64) (pow.f64 z -2))))
	49.3b	(sqrt.f64 (.f64 (PI.f64) (.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15)) (pow.f64 z -2))))
	36.8b	(fabs.f64 (/.f64 (sqrt.f64 (/.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (exp.f64 15))) z))
	39.1b	(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (.f64 15/2 (exp.f64 -15))))) z)))
	39.1b	(exp.f64 (log.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (.f64 15/2 (exp.f64 -15))))) z)))
	45.1b	(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (.f64 15/2 (exp.f64 -15))))) z) 3))

Compiler

Compiled 6240 to 5292 computations (15.2% saved)

localize362.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(-.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 2 z) 2)) (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))))) 2))
	1.0b	(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
	1.0b	(.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))))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 874 to 724 computations (17.2% saved)

series5.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

-inf

(-.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 2 z) 2)) (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))))) 2))

2.0ms

inf

(-.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 2 z) 2)) (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))))) 2))

1.0ms

(-.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 2 z) 2)) (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))))) 2))

Compiler

Compiled 284 to 250 computations (12% saved)

rewrite73.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

375×	`add-sqr-sqrt_binary64`
361×	`add-log-exp_binary64`
361×	`log1p-expm1-u_binary64`
361×	`expm1-log1p-u_binary64`
359×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	52
1	749	52

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

Inputs

(-.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 2 z) 2)) (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))))) 2))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 2 z) -2)) (neg.f64 (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))))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 2 z) -2)) (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))))) 2)) (fma.f64 (neg.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))))) (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))))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 2 z) -2) (neg.f64 (*.f64 (pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 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9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 2 z) -2))) 2) (cbrt.f64 (*.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 2 z) -2))) (neg.f64 (*.f64 (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))))) 2) 1))) (fma.f64 (neg.f64 (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))))) 2)) 1 (*.f64 (pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 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z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) 2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 2 z) -2) (neg.f64 (*.f64 (pow.f64 (cbrt.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)))))) 2) (cbrt.f64 (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))))) 4))))) (fma.f64 (neg.f64 (pow.f64 (cbrt.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)))))) 2)) (cbrt.f64 (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))))) 4)) (*.f64 (pow.f64 (cbrt.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)))))) 2) (cbrt.f64 (pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 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simplify79.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

590×	`fma-def_binary64`
548×	`distribute-rgt-in_binary64`
531×	`distribute-lft-in_binary64`
473×	`associate-l_binary64`
446×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	156	3004
1	389	2574
2	1232	2096

Stop Event

1×	node limit

Counts

43 → 73

Calls

Call 1

Inputs
-360943242034944373317421956869932881529/900000000000000000000000000000000
(-.f64 (*.f64 -1277255195125254633692865002311248325141/1350000000000000000000000000000000 z) 360943242034944373317421956869932881529/900000000000000000000000000000000)
(-.f64 (+.f64 (.f64 -1277255195125254633692865002311248325141/1350000000000000000000000000000000 z) (.f64 -4566794465034856450855310032074753063841/3000000000000000000000000000000000 (pow.f64 z 2))) 360943242034944373317421956869932881529/900000000000000000000000000000000)
(-.f64 (+.f64 (.f64 -10117905832946339418061742100836111975298539/4860000000000000000000000000000000000 (pow.f64 z 3)) (+.f64 (.f64 -1277255195125254633692865002311248325141/1350000000000000000000000000000000 z) (*.f64 -4566794465034856450855310032074753063841/3000000000000000000000000000000000 (pow.f64 z 2)))) 360943242034944373317421956869932881529/900000000000000000000000000000000)
-99999999999961980000000003613801/100000000000000000000000000000000
(-.f64 (*.f64 2567472222031680933530591684671199/1000000000000000000000000000000 (/.f64 1 z)) 99999999999961980000000003613801/100000000000000000000000000000000)
(-.f64 (+.f64 (.f64 -5785370112999625292897346258547783/100000000000000000000000000000 (pow.f64 (/.f64 1 z) 2)) (.f64 2567472222031680933530591684671199/1000000000000000000000000000000 (/.f64 1 z))) 99999999999961980000000003613801/100000000000000000000000000000000)
(-.f64 (+.f64 (.f64 65438114950027571051980966560408609/200000000000000000000000000000 (pow.f64 (/.f64 1 z) 3)) (+.f64 (.f64 -5785370112999625292897346258547783/100000000000000000000000000000 (pow.f64 (/.f64 1 z) 2)) (*.f64 2567472222031680933530591684671199/1000000000000000000000000000000 (/.f64 1 z)))) 99999999999961980000000003613801/100000000000000000000000000000000)
-99999999999961980000000003613801/100000000000000000000000000000000
(-.f64 (*.f64 2567472222031680933530591684671199/1000000000000000000000000000000 (/.f64 1 z)) 99999999999961980000000003613801/100000000000000000000000000000000)
(-.f64 (+.f64 (.f64 -5785370112999625292897346258547783/100000000000000000000000000000 (pow.f64 (/.f64 -1 z) 2)) (.f64 2567472222031680933530591684671199/1000000000000000000000000000000 (/.f64 1 z))) 99999999999961980000000003613801/100000000000000000000000000000000)
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(pow.f64 (cbrt.f64 (-.f64 (*.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 2 z) -2)) (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))))) 2))) 3)
(pow.f64 (sqrt.f64 (-.f64 (*.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 2 z) -2)) (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))))) 2))) 2)
(sqrt.f64 (pow.f64 (-.f64 (*.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 2 z) -2)) (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))))) 2)) 2))
(log.f64 (exp.f64 (-.f64 (*.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 2 z) -2)) (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))))) 2))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 2 z) -2)) (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))))) 2)))))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 2 z) -2)) (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))))) 2)) 3))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 2 z) -2)) (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))))) 2))))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 2 z) -2)) (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))))) 2))))
(exp.f64 (log.f64 (-.f64 (*.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 2 z) -2)) (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))))) 2))))
(exp.f64 (.f64 (log.f64 (-.f64 (.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 2 z) -2)) (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))))) 2))) 1))
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(fma.f64 1 (*.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 2 z) -2)) (neg.f64 (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))))) 2)))
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(fma.f64 (/.f64 3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 3147848041806007/2500000000000 (-.f64 2 z)) (neg.f64 (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))))) 2)))

Outputs
-360943242034944373317421956869932881529/900000000000000000000000000000000
(-.f64 (*.f64 -1277255195125254633692865002311248325141/1350000000000000000000000000000000 z) 360943242034944373317421956869932881529/900000000000000000000000000000000)
(fma.f64 -1277255195125254633692865002311248325141/1350000000000000000000000000000000 z -360943242034944373317421956869932881529/900000000000000000000000000000000)
(-.f64 (+.f64 (.f64 -1277255195125254633692865002311248325141/1350000000000000000000000000000000 z) (.f64 -4566794465034856450855310032074753063841/3000000000000000000000000000000000 (pow.f64 z 2))) 360943242034944373317421956869932881529/900000000000000000000000000000000)
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(fma.f64 -1277255195125254633692865002311248325141/1350000000000000000000000000000000 z (fma.f64 -4566794465034856450855310032074753063841/3000000000000000000000000000000000 (*.f64 z z) -360943242034944373317421956869932881529/900000000000000000000000000000000))
(fma.f64 -1277255195125254633692865002311248325141/1350000000000000000000000000000000 z (fma.f64 (*.f64 -4566794465034856450855310032074753063841/3000000000000000000000000000000000 z) z -360943242034944373317421956869932881529/900000000000000000000000000000000))
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(-.f64 (*.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 2 z) -2)) (pow.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) 2))
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(-.f64 (*.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 2 z) -2)) (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) 2))
(-.f64 (*.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 2 z) -2)) (pow.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) 2))
(-.f64 (*.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 2 z) -2)) (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 2))
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(-.f64 (*.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 2 z) -2)) (pow.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) 2))
(-.f64 (*.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 2 z) -2)) (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 2))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 2 z) -2))) 2) (cbrt.f64 (.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 2 z) -2))) (neg.f64 (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))))) 2)))
(-.f64 (*.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 2 z) -2)) (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) 2))
(-.f64 (*.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 2 z) -2)) (pow.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) 2))
(-.f64 (*.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 2 z) -2)) (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 2))
(fma.f64 (/.f64 3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 3147848041806007/2500000000000 (-.f64 2 z)) (neg.f64 (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))))) 2)))
(+.f64 (+.f64 (neg.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) 2)) (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) 2)) (fma.f64 (/.f64 3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 3147848041806007/2500000000000 (-.f64 2 z)) (neg.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) 2))))
(+.f64 (.f64 (pow.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) 2) 0) (-.f64 (.f64 (/.f64 3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 3147848041806007/2500000000000 (-.f64 2 z))) (pow.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) 2)))
(-.f64 (/.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (-.f64 2 z)) (-.f64 2 z)) (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 2))

localize22.0ms (0%)

Local error

Found 2 expressions with local error:

New

Error

Program

✓

0.3b

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

✓

1.0b

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

Compiler

Compiled 32 to 26 computations (18.8% saved)

series4.0ms (0%)

Counts

2 → 12

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

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

1.0ms

inf

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

1.0ms

-inf

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

Compiler

Compiled 132 to 120 computations (9.1% saved)

rewrite85.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

512×	`log-prod_binary64`
396×	`exp-prod_binary64`
301×	`pow-prod-down_binary64`
264×	`pow2_binary64`
185×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	27
1	211	27
2	2734	27

Stop Event

1×	node limit

Counts

2 → 98

Calls

Call 1

Inputs

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

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

Outputs

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1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) (exp.f64 -15/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (exp.f64 -15/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (exp.f64 -15/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (exp.f64 -15/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (PI.f64) (exp.f64 15))) 1/6) (/.f64 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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (exp.f64 15/2) (sqrt.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) 15/2)) 2)) (cbrt.f64 (-.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) 15/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) 15/2))) (sqrt.f64 (-.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (*.f64 z (exp.f64 15/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (*.f64 z (exp.f64 15/2))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (*.f64 z (exp.f64 15/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (*.f64 z (exp.f64 15/2)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 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simplify107.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

367×	`associate-/l*_binary64`
341×	`fma-def_binary64`
283×	`associate-*l/_binary64`
259×	`exp-prod_binary64`
253×	`associate-*r/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	261	1921
1	619	1853
2	1836	1849
3	7107	1845

Stop Event

1×	node limit

Counts

110 → 161

Calls

Call 1

Inputs
(/.f64 (sqrt.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (PI.f64) (exp.f64 15)))) z)
(/.f64 (sqrt.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (PI.f64) (exp.f64 15)))) z)
(/.f64 (sqrt.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (PI.f64) (exp.f64 15)))) z)
(/.f64 (sqrt.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (PI.f64) (exp.f64 15)))) z)
(/.f64 (sqrt.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (PI.f64) (exp.f64 15)))) z)
(/.f64 (sqrt.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (PI.f64) (exp.f64 15)))) z)
(/.f64 (sqrt.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (PI.f64) (exp.f64 15)))) z)
(/.f64 (sqrt.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (PI.f64) (exp.f64 15)))) z)
(/.f64 (sqrt.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (PI.f64) (exp.f64 15)))) z)
(/.f64 (sqrt.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (PI.f64) (exp.f64 15)))) z)
(/.f64 (sqrt.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (PI.f64) (exp.f64 15)))) z)
(/.f64 (sqrt.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (PI.f64) (exp.f64 15)))) z)
(+.f64 0 (.f64 (sqrt.f64 (.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (exp.f64 -15/2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) (exp.f64 -15/2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) (exp.f64 -15/2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) (exp.f64 -15/2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) (exp.f64 -15/2)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (exp.f64 -15/2)))) 1)
(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (exp.f64 -15/2)) 1)
(.f64 1 (.f64 (sqrt.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (exp.f64 -15/2)))
(.f64 (pow.f64 (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (PI.f64) (exp.f64 15))) 1/6) (/.f64 (cbrt.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (exp.f64 5)))
(.f64 (/.f64 (cbrt.f64 (.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (exp.f64 5)) (pow.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (PI.f64) (exp.f64 15))) 1/6))
(.f64 (pow.f64 (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (PI.f64) (exp.f64 15))) 1/4) (pow.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (PI.f64) (exp.f64 15))) 1/4))
(.f64 (sqrt.f64 (.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (exp.f64 -15/2))
(/.f64 1 (sqrt.f64 (*.f64 1176000000000000000000000000000000000000000000000/1223699204170972405458614049551529263107435644887679481 (/.f64 (exp.f64 15) (PI.f64)))))
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(.f64 (/.f64 (/.f64 (cbrt.f64 (.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (exp.f64 5)) (cbrt.f64 (.f64 z z))) (cbrt.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (*.f64 z (exp.f64 15/2)))))
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Outputs
(/.f64 (sqrt.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (PI.f64) (exp.f64 15)))) z)
(/.f64 (sqrt.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 15) (PI.f64)))) z)
(/.f64 (sqrt.f64 (/.f64 (PI.f64) (/.f64 (exp.f64 15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)
(/.f64 (sqrt.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (PI.f64) (exp.f64 15)))) z)
(/.f64 (sqrt.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 15) (PI.f64)))) z)
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(cbrt.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) (/.f64 (exp.f64 15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) 3/2) (pow.f64 z 3)))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (.f64 z (exp.f64 15/2)))))
(/.f64 (sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (PI.f64))) (.f64 z (exp.f64 15/2)))
(.f64 (sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (PI.f64))) (/.f64 (exp.f64 -15/2) z))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (.f64 z (exp.f64 15/2)))))
(/.f64 (sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (PI.f64))) (.f64 z (exp.f64 15/2)))
(.f64 (sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (PI.f64))) (/.f64 (exp.f64 -15/2) z))
(exp.f64 (-.f64 (-.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) 15/2) (log.f64 z)))
(/.f64 (sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (PI.f64))) (.f64 z (exp.f64 15/2)))
(.f64 (sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (PI.f64))) (/.f64 (exp.f64 -15/2) z))
(exp.f64 (.f64 (-.f64 (-.f64 (log.f64 (sqrt.f64 (.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) 15/2) (log.f64 z)) 1))
(/.f64 (sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (PI.f64))) (.f64 z (exp.f64 15/2)))
(.f64 (sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (PI.f64))) (/.f64 (exp.f64 -15/2) z))
(exp.f64 (.f64 (.f64 3 (-.f64 (-.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) 15/2) (log.f64 z))) 1/3))
(/.f64 (sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (PI.f64))) (.f64 z (exp.f64 15/2)))
(.f64 (sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (PI.f64))) (/.f64 (exp.f64 -15/2) z))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (*.f64 z (exp.f64 15/2))))) 3))
(/.f64 (sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (PI.f64))) (.f64 z (exp.f64 15/2)))
(.f64 (sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (PI.f64))) (/.f64 (exp.f64 -15/2) z))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (*.f64 z (exp.f64 15/2))))) 2))
(/.f64 (sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (PI.f64))) (.f64 z (exp.f64 15/2)))
(.f64 (sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (PI.f64))) (/.f64 (exp.f64 -15/2) z))
(exp.f64 (.f64 (+.f64 (log.f64 (/.f64 z (sqrt.f64 (.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))) 15/2) -1))
(/.f64 (sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (PI.f64))) (.f64 z (exp.f64 15/2)))
(.f64 (sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (PI.f64))) (/.f64 (exp.f64 -15/2) z))
(exp.f64 (.f64 (.f64 (-.f64 (-.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) 15/2) (log.f64 z)) 1) 1))
(/.f64 (sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (PI.f64))) (.f64 z (exp.f64 15/2)))
(.f64 (sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (PI.f64))) (/.f64 (exp.f64 -15/2) z))
(exp.f64 (-.f64 (.f64 (+.f64 (log.f64 (.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) -15) 1/2) (log.f64 z)))
(/.f64 (sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (PI.f64))) (.f64 z (exp.f64 15/2)))
(.f64 (sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (PI.f64))) (/.f64 (exp.f64 -15/2) z))
(exp.f64 (-.f64 (.f64 (-.f64 (log.f64 (sqrt.f64 (.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) 15/2) 1) (log.f64 z)))
(/.f64 (sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (PI.f64))) (.f64 z (exp.f64 15/2)))
(.f64 (sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (PI.f64))) (/.f64 (exp.f64 -15/2) z))
(exp.f64 (-.f64 (-.f64 (log.f64 (sqrt.f64 (.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) 15/2) (.f64 (log.f64 z) 1)))
(/.f64 (sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (PI.f64))) (.f64 z (exp.f64 15/2)))
(.f64 (sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (PI.f64))) (/.f64 (exp.f64 -15/2) z))
(exp.f64 (-.f64 (.f64 (+.f64 (log.f64 (.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) -15) 1/2) (*.f64 (log.f64 z) 1)))
(/.f64 (sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (PI.f64))) (.f64 z (exp.f64 15/2)))
(.f64 (sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (PI.f64))) (/.f64 (exp.f64 -15/2) z))
(exp.f64 (-.f64 (.f64 (-.f64 (log.f64 (sqrt.f64 (.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) 15/2) 1) (*.f64 (log.f64 z) 1)))
(/.f64 (sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (PI.f64))) (.f64 z (exp.f64 15/2)))
(.f64 (sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (PI.f64))) (/.f64 (exp.f64 -15/2) z))

localize54.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 (.f64 (+.f64 -15/4 (.f64 1/4 (log.f64 15/2))) 2)) 1106209385320415913103082059/4200000000000000000000000)))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
✓	1.0b	(.f64 (exp.f64 (.f64 (+.f64 -15/4 (*.f64 1/4 (log.f64 15/2))) 2)) 1106209385320415913103082059/4200000000000000000000000)
✓	1.6b	(exp.f64 (.f64 (+.f64 -15/4 (.f64 1/4 (log.f64 15/2))) 2))

Compiler

Compiled 95 to 88 computations (7.4% saved)

series38.0ms (0.1%)

Counts

3 → 12

Calls

3 calls:

Time

Variable

Point

Expression

26.0ms

(*.f64 (/.f64 1 z) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 (*.f64 (+.f64 -15/4 (*.f64 1/4 (log.f64 15/2))) 2)) 1106209385320415913103082059/4200000000000000000000000)))

10.0ms

inf

(*.f64 (/.f64 1 z) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 (*.f64 (+.f64 -15/4 (*.f64 1/4 (log.f64 15/2))) 2)) 1106209385320415913103082059/4200000000000000000000000)))

2.0ms

-inf

(*.f64 (/.f64 1 z) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 (*.f64 (+.f64 -15/4 (*.f64 1/4 (log.f64 15/2))) 2)) 1106209385320415913103082059/4200000000000000000000000)))

Compiler

Compiled 240 to 228 computations (5% saved)

rewrite80.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

920×	`log-prod_binary64`
334×	`expm1-udef_binary64`
333×	`log1p-udef_binary64`
276×	`log-pow_binary64`
199×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	60
1	414	54
2	4824	54

Stop Event

1×	node limit

Counts

3 → 71

Calls

Call 1

Inputs

(exp.f64 (*.f64 (+.f64 -15/4 (*.f64 1/4 (log.f64 15/2))) 2))

(*.f64 (exp.f64 (*.f64 (+.f64 -15/4 (*.f64 1/4 (log.f64 15/2))) 2)) 1106209385320415913103082059/4200000000000000000000000)

(*.f64 (/.f64 1 z) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 (*.f64 (+.f64 -15/4 (*.f64 1/4 (log.f64 15/2))) 2)) 1106209385320415913103082059/4200000000000000000000000)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (exp.f64 2) (fma.f64 1/4 (log1p.f64 13/2) -15/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (exp.f64 2) (fma.f64 1/4 (log1p.f64 13/2) -15/4)))) (cbrt.f64 (exp.f64 (pow.f64 (exp.f64 2) (fma.f64 1/4 (log1p.f64 13/2) -15/4)))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (exp.f64 2) (fma.f64 1/4 (log1p.f64 13/2) -15/4))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (exp.f64 2) (fma.f64 1/4 (log1p.f64 13/2) -15/4))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (exp.f64 2) (fma.f64 1/4 (log1p.f64 13/2) -15/4))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 2) (fma.f64 1/4 (log1p.f64 13/2) -15/4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 2) (fma.f64 1/4 (log1p.f64 13/2) -15/4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (exp.f64 2) (fma.f64 1/4 (log1p.f64 13/2) -15/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 15/2 1/4) (exp.f64 -15/4)) (*.f64 (pow.f64 15/2 1/4) (exp.f64 -15/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (fma.f64 1/4 (log1p.f64 13/2) -15/4))) (cbrt.f64 (pow.f64 (*.f64 (pow.f64 15/2 1/4) (exp.f64 -15/4)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (pow.f64 15/2 1/4) (exp.f64 -15/4)) 4)) (cbrt.f64 (pow.f64 (exp.f64 2) (fma.f64 1/4 (log1p.f64 13/2) -15/4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 2) (fma.f64 1/4 (log1p.f64 13/2) -15/4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 2) (fma.f64 1/4 (log1p.f64 13/2) -15/4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (*.f64 (fma.f64 1/4 (log1p.f64 13/2) -15/4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 15/2 1/4) (exp.f64 -15/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (exp.f64 2) (fma.f64 1/4 (log1p.f64 13/2) -15/4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (fma.f64 1/4 (log1p.f64 13/2) -15/4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 1/4 (log1p.f64 13/2) -15/4) 2)) 2)) (cbrt.f64 (*.f64 (fma.f64 1/4 (log1p.f64 13/2) -15/4) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (*.f64 (fma.f64 1/4 (log1p.f64 13/2) -15/4) 2))) (sqrt.f64 (*.f64 (fma.f64 1/4 (log1p.f64 13/2) -15/4) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (pow.f64 15/2 1/4) (exp.f64 -15/4)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (exp.f64 2) (fma.f64 1/4 (log1p.f64 13/2) -15/4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 2) (fma.f64 1/4 (log1p.f64 13/2) -15/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (exp.f64 2) (fma.f64 1/4 (log1p.f64 13/2) -15/4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (exp.f64 2) (fma.f64 1/4 (log1p.f64 13/2) -15/4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (exp.f64 2) (fma.f64 1/4 (log1p.f64 13/2) -15/4))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (pow.f64 (exp.f64 2) (fma.f64 1/4 (log1p.f64 13/2) -15/4)) 1106209385320415913103082059/4200000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 1106209385320415913103082059/4200000000000000000000000) (pow.f64 (exp.f64 2) (fma.f64 1/4 (log1p.f64 13/2) -15/4)))) (cbrt.f64 (pow.f64 (exp.f64 1106209385320415913103082059/4200000000000000000000000) (pow.f64 (exp.f64 2) (fma.f64 1/4 (log1p.f64 13/2) -15/4)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1106209385320415913103082059/4200000000000000000000000) (pow.f64 (exp.f64 2) (fma.f64 1/4 (log1p.f64 13/2) -15/4))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1106209385320415913103082059/4200000000000000000000000) (pow.f64 (exp.f64 2) (fma.f64 1/4 (log1p.f64 13/2) -15/4))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1106209385320415913103082059/4200000000000000000000000) (pow.f64 (exp.f64 2) (fma.f64 1/4 (log1p.f64 13/2) -15/4))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (exp.f64 2) (fma.f64 1/4 (log1p.f64 13/2) -15/4)) 1106209385320415913103082059/4200000000000000000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (exp.f64 2) (fma.f64 1/4 (log1p.f64 13/2) -15/4)) 1106209385320415913103082059/4200000000000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 (exp.f64 2) (fma.f64 1/4 (log1p.f64 13/2) -15/4)) 1106209385320415913103082059/4200000000000000000000000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 (exp.f64 2) (fma.f64 1/4 (log1p.f64 13/2) -15/4)) 1106209385320415913103082059/4200000000000000000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (pow.f64 15/2 1/4) (exp.f64 -15/4)) (sqrt.f64 1106209385320415913103082059/4200000000000000000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (pow.f64 (*.f64 (pow.f64 15/2 1/4) (exp.f64 -15/4)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1106209385320415913103082059/4200000000000000000000000) (pow.f64 (exp.f64 2) (fma.f64 1/4 (log1p.f64 13/2) -15/4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (exp.f64 2) (fma.f64 1/4 (log1p.f64 13/2) -15/4)) 1106209385320415913103082059/4200000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 (exp.f64 2) (fma.f64 1/4 (log1p.f64 13/2) -15/4)) 1106209385320415913103082059/4200000000000000000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 (exp.f64 2) (fma.f64 1/4 (log1p.f64 13/2) -15/4)) 1106209385320415913103082059/4200000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 (exp.f64 2) (fma.f64 1/4 (log1p.f64 13/2) -15/4)) 1106209385320415913103082059/4200000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 (fma.f64 1/4 (log1p.f64 13/2) -15/4) 2 (log.f64 1106209385320415913103082059/4200000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 (fma.f64 1/4 (log1p.f64 13/2) -15/4) 2 (log.f64 1106209385320415913103082059/4200000000000000000000000)) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (*.f64 (pow.f64 (exp.f64 2) (fma.f64 1/4 (log1p.f64 13/2) -15/4)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (*.f64 (pow.f64 (exp.f64 2) (fma.f64 1/4 (log1p.f64 13/2) -15/4)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)))) (cbrt.f64 (exp.f64 (*.f64 (*.f64 (pow.f64 (exp.f64 2) (fma.f64 1/4 (log1p.f64 13/2) -15/4)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (*.f64 (pow.f64 (exp.f64 2) (fma.f64 1/4 (log1p.f64 13/2) -15/4)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (*.f64 (pow.f64 (exp.f64 2) (fma.f64 1/4 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simplify88.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1308×	`fma-def_binary64`
675×	`associate-/r*_binary64`
393×	`associate-/l/_binary64`
331×	`associate-/r/_binary64`
172×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	200	2028
1	449	1937
2	2167	1806
3	7318	1806

Stop Event

1×	node limit

Counts

83 → 111

Calls

Call 1

Inputs
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (.f64 2 (-.f64 (*.f64 1/4 (log.f64 15/2)) 15/4)))) z))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (.f64 2 (-.f64 (*.f64 1/4 (log.f64 15/2)) 15/4)))) z))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (.f64 2 (-.f64 (*.f64 1/4 (log.f64 15/2)) 15/4)))) z))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (.f64 2 (-.f64 (*.f64 1/4 (log.f64 15/2)) 15/4)))) z))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (.f64 2 (-.f64 (*.f64 1/4 (log.f64 15/2)) 15/4)))) z))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (.f64 2 (-.f64 (*.f64 1/4 (log.f64 15/2)) 15/4)))) z))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (.f64 2 (-.f64 (*.f64 1/4 (log.f64 15/2)) 15/4)))) z))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (.f64 2 (-.f64 (*.f64 1/4 (log.f64 15/2)) 15/4)))) z))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (.f64 2 (-.f64 (*.f64 1/4 (log.f64 15/2)) 15/4)))) z))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (.f64 2 (-.f64 (*.f64 1/4 (log.f64 15/2)) 15/4)))) z))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (.f64 2 (-.f64 (*.f64 1/4 (log.f64 15/2)) 15/4)))) z))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (.f64 2 (-.f64 (*.f64 1/4 (log.f64 15/2)) 15/4)))) z))
(+.f64 0 (pow.f64 (exp.f64 2) (fma.f64 1/4 (log1p.f64 13/2) -15/4)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (exp.f64 2) (fma.f64 1/4 (log1p.f64 13/2) -15/4)))) (cbrt.f64 (exp.f64 (pow.f64 (exp.f64 2) (fma.f64 1/4 (log1p.f64 13/2) -15/4)))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (exp.f64 2) (fma.f64 1/4 (log1p.f64 13/2) -15/4))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (exp.f64 2) (fma.f64 1/4 (log1p.f64 13/2) -15/4))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (exp.f64 2) (fma.f64 1/4 (log1p.f64 13/2) -15/4))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 2) (fma.f64 1/4 (log1p.f64 13/2) -15/4)))) 1)
(*.f64 (pow.f64 (exp.f64 2) (fma.f64 1/4 (log1p.f64 13/2) -15/4)) 1)
(*.f64 1 (pow.f64 (exp.f64 2) (fma.f64 1/4 (log1p.f64 13/2) -15/4)))
(.f64 (.f64 (pow.f64 15/2 1/4) (exp.f64 -15/4)) (*.f64 (pow.f64 15/2 1/4) (exp.f64 -15/4)))
(.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (fma.f64 1/4 (log1p.f64 13/2) -15/4))) (cbrt.f64 (pow.f64 (.f64 (pow.f64 15/2 1/4) (exp.f64 -15/4)) 4)))
(.f64 (cbrt.f64 (pow.f64 (.f64 (pow.f64 15/2 1/4) (exp.f64 -15/4)) 4)) (cbrt.f64 (pow.f64 (exp.f64 2) (fma.f64 1/4 (log1p.f64 13/2) -15/4))))
(pow.f64 (pow.f64 (exp.f64 2) (fma.f64 1/4 (log1p.f64 13/2) -15/4)) 1)
(pow.f64 (exp.f64 2) (fma.f64 1/4 (log1p.f64 13/2) -15/4))
(pow.f64 (E.f64) (*.f64 (fma.f64 1/4 (log1p.f64 13/2) -15/4) 2))
(pow.f64 (*.f64 (pow.f64 15/2 1/4) (exp.f64 -15/4)) 2)
(pow.f64 (pow.f64 (pow.f64 (exp.f64 2) (fma.f64 1/4 (log1p.f64 13/2) -15/4)) 3) 1/3)
(pow.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (fma.f64 1/4 (log1p.f64 13/2) -15/4))) 3)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 (fma.f64 1/4 (log1p.f64 13/2) -15/4) 2)) 2)) (cbrt.f64 (.f64 (fma.f64 1/4 (log1p.f64 13/2) -15/4) 2)))
(pow.f64 (exp.f64 (sqrt.f64 (.f64 (fma.f64 1/4 (log1p.f64 13/2) -15/4) 2))) (sqrt.f64 (.f64 (fma.f64 1/4 (log1p.f64 13/2) -15/4) 2)))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 15/2 1/4) (exp.f64 -15/4)) 4))
(log.f64 (exp.f64 (pow.f64 (exp.f64 2) (fma.f64 1/4 (log1p.f64 13/2) -15/4))))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 2) (fma.f64 1/4 (log1p.f64 13/2) -15/4)))))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 2) (fma.f64 1/4 (log1p.f64 13/2) -15/4)) 3))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 2) (fma.f64 1/4 (log1p.f64 13/2) -15/4))))
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 2) (fma.f64 1/4 (log1p.f64 13/2) -15/4))))
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(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1106209385320415913103082059/4200000000000000000000000) (pow.f64 (exp.f64 2) (fma.f64 1/4 (log1p.f64 13/2) -15/4))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1106209385320415913103082059/4200000000000000000000000) (pow.f64 (exp.f64 2) (fma.f64 1/4 (log1p.f64 13/2) -15/4))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (exp.f64 2) (fma.f64 1/4 (log1p.f64 13/2) -15/4)) 1106209385320415913103082059/4200000000000000000000000))) 1)
(pow.f64 (*.f64 (pow.f64 (exp.f64 2) (fma.f64 1/4 (log1p.f64 13/2) -15/4)) 1106209385320415913103082059/4200000000000000000000000) 1)
(pow.f64 (pow.f64 (*.f64 (pow.f64 (exp.f64 2) (fma.f64 1/4 (log1p.f64 13/2) -15/4)) 1106209385320415913103082059/4200000000000000000000000) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (exp.f64 2) (fma.f64 1/4 (log1p.f64 13/2) -15/4)) 1106209385320415913103082059/4200000000000000000000000)) 3)
(pow.f64 (.f64 (.f64 (pow.f64 15/2 1/4) (exp.f64 -15/4)) (sqrt.f64 1106209385320415913103082059/4200000000000000000000000)) 2)
(sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (pow.f64 (.f64 (pow.f64 15/2 1/4) (exp.f64 -15/4)) 4)))
(log.f64 (pow.f64 (exp.f64 1106209385320415913103082059/4200000000000000000000000) (pow.f64 (exp.f64 2) (fma.f64 1/4 (log1p.f64 13/2) -15/4))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (exp.f64 2) (fma.f64 1/4 (log1p.f64 13/2) -15/4)) 1106209385320415913103082059/4200000000000000000000000))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (exp.f64 2) (fma.f64 1/4 (log1p.f64 13/2) -15/4)) 1106209385320415913103082059/4200000000000000000000000) 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (exp.f64 2) (fma.f64 1/4 (log1p.f64 13/2) -15/4)) 1106209385320415913103082059/4200000000000000000000000)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (exp.f64 2) (fma.f64 1/4 (log1p.f64 13/2) -15/4)) 1106209385320415913103082059/4200000000000000000000000)))
(exp.f64 (fma.f64 (fma.f64 1/4 (log1p.f64 13/2) -15/4) 2 (log.f64 1106209385320415913103082059/4200000000000000000000000)))
(exp.f64 (*.f64 (fma.f64 (fma.f64 1/4 (log1p.f64 13/2) -15/4) 2 (log.f64 1106209385320415913103082059/4200000000000000000000000)) 1))
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(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 (pow.f64 (exp.f64 2) (fma.f64 1/4 (log1p.f64 13/2) -15/4)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)))) 1)
(/.f64 (.f64 (pow.f64 (exp.f64 2) (fma.f64 1/4 (log1p.f64 13/2) -15/4)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 z (sqrt.f64 (.f64 2 (PI.f64)))))
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(/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 z (.f64 (pow.f64 (exp.f64 2) (fma.f64 1/4 (log1p.f64 13/2) -15/4)) 1106209385320415913103082059/4200000000000000000000000)))
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(/.f64 (cbrt.f64 (.f64 (.f64 2 (PI.f64)) (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (pow.f64 (.f64 (pow.f64 15/2 1/4) (exp.f64 -15/4)) 4)))) (/.f64 z (cbrt.f64 (.f64 (pow.f64 (exp.f64 2) (fma.f64 1/4 (log1p.f64 13/2) -15/4)) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 2 (PI.f64))))))))
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(/.f64 (.f64 (pow.f64 (exp.f64 2) (fma.f64 1/4 (log1p.f64 13/2) -15/4)) (sqrt.f64 (.f64 2 (PI.f64)))) (/.f64 z 1106209385320415913103082059/4200000000000000000000000))
(/.f64 (neg.f64 (.f64 (pow.f64 (exp.f64 2) (fma.f64 1/4 (log1p.f64 13/2) -15/4)) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 2 (PI.f64)))))) (neg.f64 z))
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(/.f64 (/.f64 (.f64 (pow.f64 (exp.f64 2) (fma.f64 1/4 (log1p.f64 13/2) -15/4)) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 2 (PI.f64))))) 1) z)
(/.f64 (/.f64 (.f64 (pow.f64 (exp.f64 2) (fma.f64 1/4 (log1p.f64 13/2) -15/4)) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 2 (PI.f64))))) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
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(pow.f64 (.f64 (.f64 (pow.f64 (exp.f64 2) (fma.f64 1/4 (log1p.f64 13/2) -15/4)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)) 1)
(pow.f64 (pow.f64 (.f64 (.f64 (pow.f64 (exp.f64 2) (fma.f64 1/4 (log1p.f64 13/2) -15/4)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 (.f64 (pow.f64 (exp.f64 2) (fma.f64 1/4 (log1p.f64 13/2) -15/4)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z))) 3)
(pow.f64 (.f64 (sqrt.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z)) (.f64 (.f64 (pow.f64 15/2 1/4) (exp.f64 -15/4)) (sqrt.f64 1106209385320415913103082059/4200000000000000000000000))) 2)
(sqrt.f64 (.f64 (pow.f64 z -2) (.f64 (.f64 2 (PI.f64)) (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (pow.f64 (*.f64 (pow.f64 15/2 1/4) (exp.f64 -15/4)) 4)))))
(log.f64 (exp.f64 (.f64 (.f64 (pow.f64 (exp.f64 2) (fma.f64 1/4 (log1p.f64 13/2) -15/4)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 (pow.f64 (exp.f64 2) (fma.f64 1/4 (log1p.f64 13/2) -15/4)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)))))
(cbrt.f64 (pow.f64 (.f64 (.f64 (pow.f64 (exp.f64 2) (fma.f64 1/4 (log1p.f64 13/2) -15/4)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)) 3))
(cbrt.f64 (/.f64 (pow.f64 (.f64 (pow.f64 (exp.f64 2) (fma.f64 1/4 (log1p.f64 13/2) -15/4)) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 2 (PI.f64))))) 3) (pow.f64 z 3)))
(cbrt.f64 (.f64 (/.f64 (pow.f64 z -2) z) (pow.f64 (.f64 (pow.f64 (exp.f64 2) (fma.f64 1/4 (log1p.f64 13/2) -15/4)) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 2 (PI.f64))))) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 (pow.f64 (exp.f64 2) (fma.f64 1/4 (log1p.f64 13/2) -15/4)) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 2 (PI.f64))))) 3) (/.f64 (pow.f64 z -2) z)))
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(exp.f64 (+.f64 (fma.f64 (fma.f64 1/4 (log1p.f64 13/2) -15/4) 2 (log.f64 1106209385320415913103082059/4200000000000000000000000)) (log.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z))))
(exp.f64 (.f64 (+.f64 (fma.f64 (fma.f64 1/4 (log1p.f64 13/2) -15/4) 2 (log.f64 1106209385320415913103082059/4200000000000000000000000)) (log.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z))) 1))

Outputs
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (.f64 2 (-.f64 (*.f64 1/4 (log.f64 15/2)) 15/4)))) z))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 z (pow.f64 (exp.f64 2) (fma.f64 1/4 (log.f64 15/2) -15/4)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z) (pow.f64 (exp.f64 2) (fma.f64 1/4 (log.f64 15/2) -15/4))))
(.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)) (pow.f64 (exp.f64 2) (fma.f64 1/4 (log.f64 15/2) -15/4)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (.f64 2 (-.f64 (*.f64 1/4 (log.f64 15/2)) 15/4)))) z))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 z (pow.f64 (exp.f64 2) (fma.f64 1/4 (log.f64 15/2) -15/4)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z) (pow.f64 (exp.f64 2) (fma.f64 1/4 (log.f64 15/2) -15/4))))
(.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)) (pow.f64 (exp.f64 2) (fma.f64 1/4 (log.f64 15/2) -15/4)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (.f64 2 (-.f64 (*.f64 1/4 (log.f64 15/2)) 15/4)))) z))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 z (pow.f64 (exp.f64 2) (fma.f64 1/4 (log.f64 15/2) -15/4)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z) (pow.f64 (exp.f64 2) (fma.f64 1/4 (log.f64 15/2) -15/4))))
(.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)) (pow.f64 (exp.f64 2) (fma.f64 1/4 (log.f64 15/2) -15/4)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (.f64 2 (-.f64 (*.f64 1/4 (log.f64 15/2)) 15/4)))) z))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 z (pow.f64 (exp.f64 2) (fma.f64 1/4 (log.f64 15/2) -15/4)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z) (pow.f64 (exp.f64 2) (fma.f64 1/4 (log.f64 15/2) -15/4))))
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(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (.f64 2 (-.f64 (*.f64 1/4 (log.f64 15/2)) 15/4)))) z))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 z (pow.f64 (exp.f64 2) (fma.f64 1/4 (log.f64 15/2) -15/4)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z) (pow.f64 (exp.f64 2) (fma.f64 1/4 (log.f64 15/2) -15/4))))
(.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)) (pow.f64 (exp.f64 2) (fma.f64 1/4 (log.f64 15/2) -15/4)))
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(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 z (pow.f64 (exp.f64 2) (fma.f64 1/4 (log.f64 15/2) -15/4)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z) (pow.f64 (exp.f64 2) (fma.f64 1/4 (log.f64 15/2) -15/4))))
(.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)) (pow.f64 (exp.f64 2) (fma.f64 1/4 (log.f64 15/2) -15/4)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (.f64 2 (-.f64 (*.f64 1/4 (log.f64 15/2)) 15/4)))) z))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 z (pow.f64 (exp.f64 2) (fma.f64 1/4 (log.f64 15/2) -15/4)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z) (pow.f64 (exp.f64 2) (fma.f64 1/4 (log.f64 15/2) -15/4))))
(.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)) (pow.f64 (exp.f64 2) (fma.f64 1/4 (log.f64 15/2) -15/4)))
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(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 z (pow.f64 (exp.f64 2) (fma.f64 1/4 (log.f64 15/2) -15/4)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z) (pow.f64 (exp.f64 2) (fma.f64 1/4 (log.f64 15/2) -15/4))))
(.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)) (pow.f64 (exp.f64 2) (fma.f64 1/4 (log.f64 15/2) -15/4)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (.f64 2 (-.f64 (*.f64 1/4 (log.f64 15/2)) 15/4)))) z))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 z (pow.f64 (exp.f64 2) (fma.f64 1/4 (log.f64 15/2) -15/4)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z) (pow.f64 (exp.f64 2) (fma.f64 1/4 (log.f64 15/2) -15/4))))
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(/.f64 (pow.f64 (exp.f64 2) (fma.f64 1/4 (log1p.f64 13/2) -15/4)) (.f64 z (/.f64 4200000000000000000000000/1106209385320415913103082059 (sqrt.f64 (.f64 2 (PI.f64))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (pow.f64 (exp.f64 2) (fma.f64 1/4 (log1p.f64 13/2) -15/4)) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)))
(cbrt.f64 (/.f64 (pow.f64 (.f64 (pow.f64 (exp.f64 2) (fma.f64 1/4 (log1p.f64 13/2) -15/4)) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 2 (PI.f64))))) 3) (pow.f64 z 3)))
(.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (pow.f64 (exp.f64 2) (fma.f64 1/4 (log1p.f64 13/2) -15/4))) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z))
(/.f64 (pow.f64 (exp.f64 2) (fma.f64 1/4 (log1p.f64 13/2) -15/4)) (.f64 z (/.f64 4200000000000000000000000/1106209385320415913103082059 (sqrt.f64 (.f64 2 (PI.f64))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (pow.f64 (exp.f64 2) (fma.f64 1/4 (log1p.f64 13/2) -15/4)) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)))
(cbrt.f64 (.f64 (/.f64 (pow.f64 z -2) z) (pow.f64 (.f64 (pow.f64 (exp.f64 2) (fma.f64 1/4 (log1p.f64 13/2) -15/4)) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 2 (PI.f64))))) 3)))
(.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (pow.f64 (exp.f64 2) (fma.f64 1/4 (log1p.f64 13/2) -15/4))) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z))
(/.f64 (pow.f64 (exp.f64 2) (fma.f64 1/4 (log1p.f64 13/2) -15/4)) (.f64 z (/.f64 4200000000000000000000000/1106209385320415913103082059 (sqrt.f64 (.f64 2 (PI.f64))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (pow.f64 (exp.f64 2) (fma.f64 1/4 (log1p.f64 13/2) -15/4)) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)))
(cbrt.f64 (.f64 (pow.f64 (.f64 (pow.f64 (exp.f64 2) (fma.f64 1/4 (log1p.f64 13/2) -15/4)) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 2 (PI.f64))))) 3) (/.f64 (pow.f64 z -2) z)))
(.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (pow.f64 (exp.f64 2) (fma.f64 1/4 (log1p.f64 13/2) -15/4))) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z))
(/.f64 (pow.f64 (exp.f64 2) (fma.f64 1/4 (log1p.f64 13/2) -15/4)) (.f64 z (/.f64 4200000000000000000000000/1106209385320415913103082059 (sqrt.f64 (.f64 2 (PI.f64))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (pow.f64 (exp.f64 2) (fma.f64 1/4 (log1p.f64 13/2) -15/4)) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)))
(expm1.f64 (log1p.f64 (.f64 (.f64 (pow.f64 (exp.f64 2) (fma.f64 1/4 (log1p.f64 13/2) -15/4)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z))))
(.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (pow.f64 (exp.f64 2) (fma.f64 1/4 (log1p.f64 13/2) -15/4))) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z))
(/.f64 (pow.f64 (exp.f64 2) (fma.f64 1/4 (log1p.f64 13/2) -15/4)) (.f64 z (/.f64 4200000000000000000000000/1106209385320415913103082059 (sqrt.f64 (.f64 2 (PI.f64))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (pow.f64 (exp.f64 2) (fma.f64 1/4 (log1p.f64 13/2) -15/4)) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)))
(log1p.f64 (expm1.f64 (.f64 (.f64 (pow.f64 (exp.f64 2) (fma.f64 1/4 (log1p.f64 13/2) -15/4)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z))))
(.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (pow.f64 (exp.f64 2) (fma.f64 1/4 (log1p.f64 13/2) -15/4))) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z))
(/.f64 (pow.f64 (exp.f64 2) (fma.f64 1/4 (log1p.f64 13/2) -15/4)) (.f64 z (/.f64 4200000000000000000000000/1106209385320415913103082059 (sqrt.f64 (.f64 2 (PI.f64))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (pow.f64 (exp.f64 2) (fma.f64 1/4 (log1p.f64 13/2) -15/4)) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)))
(exp.f64 (+.f64 (fma.f64 (fma.f64 1/4 (log1p.f64 13/2) -15/4) 2 (log.f64 1106209385320415913103082059/4200000000000000000000000)) (log.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z))))
(.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (pow.f64 (exp.f64 2) (fma.f64 1/4 (log1p.f64 13/2) -15/4))) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z))
(/.f64 (pow.f64 (exp.f64 2) (fma.f64 1/4 (log1p.f64 13/2) -15/4)) (.f64 z (/.f64 4200000000000000000000000/1106209385320415913103082059 (sqrt.f64 (.f64 2 (PI.f64))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (pow.f64 (exp.f64 2) (fma.f64 1/4 (log1p.f64 13/2) -15/4)) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)))
(exp.f64 (.f64 (+.f64 (fma.f64 (fma.f64 1/4 (log1p.f64 13/2) -15/4) 2 (log.f64 1106209385320415913103082059/4200000000000000000000000)) (log.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z))) 1))
(.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (pow.f64 (exp.f64 2) (fma.f64 1/4 (log1p.f64 13/2) -15/4))) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z))
(/.f64 (pow.f64 (exp.f64 2) (fma.f64 1/4 (log1p.f64 13/2) -15/4)) (.f64 z (/.f64 4200000000000000000000000/1106209385320415913103082059 (sqrt.f64 (.f64 2 (PI.f64))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (pow.f64 (exp.f64 2) (fma.f64 1/4 (log1p.f64 13/2) -15/4)) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)))

localize41.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 85 to 61 computations (28.2% saved)

series3.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	z	@	0	(.f64 (/.f64 1 (sin.f64 (.f64 (PI.f64) z))) (PI.f64))
1.0ms	z	@	inf	(.f64 (/.f64 1 (sin.f64 (.f64 (PI.f64) z))) (PI.f64))
1.0ms	z	@	-inf	(.f64 (/.f64 1 (sin.f64 (.f64 (PI.f64) z))) (PI.f64))

Compiler

Compiled 222 to 174 computations (21.6% saved)

rewrite46.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

732×	`pow1_binary64`
672×	`add-log-exp_binary64`
672×	`log1p-expm1-u_binary64`
672×	`expm1-log1p-u_binary64`
657×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	157	11
2	1869	11

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

Inputs
(.f64 (/.f64 1 (sin.f64 (.f64 (PI.f64) z))) (PI.f64))

Outputs

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

simplify49.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

464×	`log-prod_binary64`
428×	`associate-r_binary64`
425×	`associate-l_binary64`
359×	`fma-neg_binary64`
315×	`times-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	110	580
1	267	566
2	937	522
3	5761	499

Stop Event

1×	node limit

Counts

36 → 40

Calls

Call 1

Inputs
(/.f64 1 z)
(+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 (PI.f64) 3) z) (PI.f64))) (/.f64 1 z))
(+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 (PI.f64) 3) z) (PI.f64))) (+.f64 (/.f64 1 z) (.f64 -1 (.f64 (+.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (PI.f64))) (.f64 -1/36 (/.f64 (pow.f64 (pow.f64 (PI.f64) 3) 2) (pow.f64 (PI.f64) 2)))) (pow.f64 z 3)))))
(+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 (PI.f64) 3) z) (PI.f64))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/720 (/.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 5)) (pow.f64 (PI.f64) 2))) (+.f64 (.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) (PI.f64))) (.f64 1/6 (/.f64 (.f64 (+.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (PI.f64))) (.f64 -1/36 (/.f64 (pow.f64 (pow.f64 (PI.f64) 3) 2) (pow.f64 (PI.f64) 2)))) (pow.f64 (PI.f64) 3)) (PI.f64))))) (pow.f64 z 5))) (+.f64 (/.f64 1 z) (.f64 -1 (.f64 (+.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (PI.f64))) (*.f64 -1/36 (/.f64 (pow.f64 (pow.f64 (PI.f64) 3) 2) (pow.f64 (PI.f64) 2)))) (pow.f64 z 3))))))
(/.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 (+.f64 1 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) 1)
(/.f64 1 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64)))
(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
(/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (cbrt.f64 (PI.f64))))
(/.f64 (sqrt.f64 (PI.f64)) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (sqrt.f64 (PI.f64))))
(/.f64 (neg.f64 (PI.f64)) (neg.f64 (sin.f64 (*.f64 (PI.f64) z))))
(/.f64 (/.f64 (PI.f64) (sqrt.f64 (sin.f64 (.f64 (PI.f64) z)))) (sqrt.f64 (sin.f64 (.f64 (PI.f64) z))))
(/.f64 (/.f64 (PI.f64) 1) (sin.f64 (*.f64 (PI.f64) z)))
(/.f64 (/.f64 (PI.f64) (pow.f64 (cbrt.f64 (sin.f64 (.f64 (PI.f64) z))) 2)) (cbrt.f64 (sin.f64 (.f64 (PI.f64) z))))
(/.f64 (.f64 -1 (PI.f64)) (neg.f64 (sin.f64 (.f64 (PI.f64) z))))
(/.f64 (.f64 (PI.f64) -1) (neg.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)
(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)))))
(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)))
(cbrt.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 (/.f64 1 (sin.f64 (.f64 (PI.f64) z))) 3)))
(cbrt.f64 (.f64 (pow.f64 (/.f64 1 (sin.f64 (.f64 (PI.f64) z))) 3) (pow.f64 (PI.f64) 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)))))

Outputs
(/.f64 1 z)
(+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 (PI.f64) 3) z) (PI.f64))) (/.f64 1 z))
(fma.f64 1/6 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (PI.f64) z)) (/.f64 1 z))
(fma.f64 1/6 (/.f64 z (/.f64 (PI.f64) (pow.f64 (PI.f64) 3))) (/.f64 1 z))
(fma.f64 1/6 (*.f64 z (pow.f64 (PI.f64) 2)) (/.f64 1 z))
(+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 (PI.f64) 3) z) (PI.f64))) (+.f64 (/.f64 1 z) (.f64 -1 (.f64 (+.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (PI.f64))) (.f64 -1/36 (/.f64 (pow.f64 (pow.f64 (PI.f64) 3) 2) (pow.f64 (PI.f64) 2)))) (pow.f64 z 3)))))
(+.f64 (fma.f64 1/6 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (PI.f64) z)) (/.f64 1 z)) (neg.f64 (.f64 (fma.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (PI.f64)) (.f64 -1/36 (/.f64 (pow.f64 (pow.f64 (PI.f64) 3) 2) (pow.f64 (PI.f64) 2)))) (pow.f64 z 3))))
(fma.f64 1/6 (/.f64 z (/.f64 (PI.f64) (pow.f64 (PI.f64) 3))) (fma.f64 (neg.f64 (fma.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (PI.f64)) (*.f64 -1/36 (/.f64 (pow.f64 (PI.f64) 6) (pow.f64 (PI.f64) 2))))) (pow.f64 z 3) (/.f64 1 z)))
(-.f64 (fma.f64 1/6 (.f64 z (pow.f64 (PI.f64) 2)) (/.f64 1 z)) (.f64 (fma.f64 -1/36 (pow.f64 (PI.f64) 4) (*.f64 (/.f64 1/120 (PI.f64)) (pow.f64 (PI.f64) 5))) (pow.f64 z 3)))
(fma.f64 (fma.f64 1/120 (pow.f64 (PI.f64) 4) (.f64 -1/36 (pow.f64 (PI.f64) 4))) (neg.f64 (pow.f64 z 3)) (fma.f64 1/6 (.f64 z (pow.f64 (PI.f64) 2)) (/.f64 1 z)))
(+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 (PI.f64) 3) z) (PI.f64))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/720 (/.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 5)) (pow.f64 (PI.f64) 2))) (+.f64 (.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) (PI.f64))) (.f64 1/6 (/.f64 (.f64 (+.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (PI.f64))) (.f64 -1/36 (/.f64 (pow.f64 (pow.f64 (PI.f64) 3) 2) (pow.f64 (PI.f64) 2)))) (pow.f64 (PI.f64) 3)) (PI.f64))))) (pow.f64 z 5))) (+.f64 (/.f64 1 z) (.f64 -1 (.f64 (+.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (PI.f64))) (*.f64 -1/36 (/.f64 (pow.f64 (pow.f64 (PI.f64) 3) 2) (pow.f64 (PI.f64) 2)))) (pow.f64 z 3))))))
(fma.f64 1/6 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (PI.f64) z)) (fma.f64 -1 (.f64 (fma.f64 1/720 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 5))) (fma.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) (PI.f64)) (.f64 1/6 (/.f64 (fma.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (PI.f64)) (.f64 -1/36 (/.f64 (pow.f64 (pow.f64 (PI.f64) 3) 2) (pow.f64 (PI.f64) 2)))) (/.f64 (PI.f64) (pow.f64 (PI.f64) 3)))))) (pow.f64 z 5)) (+.f64 (/.f64 1 z) (neg.f64 (.f64 (fma.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (PI.f64)) (*.f64 -1/36 (/.f64 (pow.f64 (pow.f64 (PI.f64) 3) 2) (pow.f64 (PI.f64) 2)))) (pow.f64 z 3))))))
(fma.f64 1/6 (/.f64 z (/.f64 (PI.f64) (pow.f64 (PI.f64) 3))) (fma.f64 (neg.f64 (fma.f64 1/720 (.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) (pow.f64 (PI.f64) 5)) (fma.f64 1/6 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (PI.f64) (fma.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (PI.f64)) (.f64 -1/36 (/.f64 (pow.f64 (PI.f64) 6) (pow.f64 (PI.f64) 2)))))) (.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) (PI.f64)))))) (pow.f64 z 5) (fma.f64 (neg.f64 (fma.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (PI.f64)) (.f64 -1/36 (/.f64 (pow.f64 (PI.f64) 6) (pow.f64 (PI.f64) 2))))) (pow.f64 z 3) (/.f64 1 z))))
(fma.f64 (fma.f64 1/6 (.f64 (pow.f64 (PI.f64) 2) (fma.f64 -1/36 (pow.f64 (PI.f64) 4) (.f64 (/.f64 1/120 (PI.f64)) (pow.f64 (PI.f64) 5)))) (fma.f64 1/720 (/.f64 (pow.f64 (PI.f64) 5) (/.f64 1 (PI.f64))) (.f64 (/.f64 -1/5040 (PI.f64)) (pow.f64 (PI.f64) 7)))) (neg.f64 (pow.f64 z 5)) (-.f64 (fma.f64 1/6 (.f64 z (pow.f64 (PI.f64) 2)) (/.f64 1 z)) (.f64 (fma.f64 -1/36 (pow.f64 (PI.f64) 4) (.f64 (/.f64 1/120 (PI.f64)) (pow.f64 (PI.f64) 5))) (pow.f64 z 3))))
(fma.f64 (fma.f64 1/6 (.f64 (pow.f64 (PI.f64) 2) (fma.f64 1/120 (pow.f64 (PI.f64) 4) (.f64 -1/36 (pow.f64 (PI.f64) 4)))) (fma.f64 (pow.f64 (PI.f64) 6) 1/720 (.f64 (pow.f64 (PI.f64) 6) -1/5040))) (neg.f64 (pow.f64 z 5)) (fma.f64 (fma.f64 1/120 (pow.f64 (PI.f64) 4) (.f64 -1/36 (pow.f64 (PI.f64) 4))) (neg.f64 (pow.f64 z 3)) (fma.f64 1/6 (*.f64 z (pow.f64 (PI.f64) 2)) (/.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 (+.f64 1 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) 1)
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 1 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64)))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (cbrt.f64 (PI.f64))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (sqrt.f64 (PI.f64)) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (sqrt.f64 (PI.f64))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (neg.f64 (PI.f64)) (neg.f64 (sin.f64 (*.f64 (PI.f64) z))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (/.f64 (PI.f64) (sqrt.f64 (sin.f64 (.f64 (PI.f64) z)))) (sqrt.f64 (sin.f64 (.f64 (PI.f64) z))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (/.f64 (PI.f64) 1) (sin.f64 (*.f64 (PI.f64) z)))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (/.f64 (PI.f64) (pow.f64 (cbrt.f64 (sin.f64 (.f64 (PI.f64) z))) 2)) (cbrt.f64 (sin.f64 (.f64 (PI.f64) z))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (.f64 -1 (PI.f64)) (neg.f64 (sin.f64 (.f64 (PI.f64) z))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (.f64 (PI.f64) -1) (neg.f64 (sin.f64 (.f64 (PI.f64) z))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 1)
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(pow.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 3) 1/3)
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(pow.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) 3)
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(pow.f64 (sqrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) 2)
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(sqrt.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 2))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(log.f64 (exp.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(cbrt.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 3))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(cbrt.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 3)))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(cbrt.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 (/.f64 1 (sin.f64 (.f64 (PI.f64) z))) 3)))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(cbrt.f64 (.f64 (pow.f64 (/.f64 1 (sin.f64 (.f64 (PI.f64) z))) 3) (pow.f64 (PI.f64) 3)))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(expm1.f64 (log1p.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(log1p.f64 (expm1.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(exp.f64 (log.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))

localize258.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 653 to 544 computations (16.7% saved)

series29.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
10.0ms	z	@	0	(.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 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5)))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (-.f64 z 6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))
5.0ms	z	@	-inf	(.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 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5)))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (-.f64 z 6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))
4.0ms	z	@	inf	(.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 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5)))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (-.f64 z 6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))
4.0ms	z	@	0	(*.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)))
2.0ms	z	@	-inf	(+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5)))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (-.f64 z 6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))

Compiler

Compiled 2038 to 1814 computations (11% saved)

rewrite94.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

700×	`add-log-exp_binary64`
699×	`log1p-expm1-u_binary64`
699×	`expm1-log1p-u_binary64`
698×	`add-cbrt-cube_binary64`
698×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	236
1	1422	236

Stop Event

1×	node limit

Counts

3 → 25

Calls

Call 1

Inputs

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

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

Outputs

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simplify108.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

313×	`associate-*l/_binary64`
282×	`associate-r_binary64`
272×	`distribute-rgt-out_binary64`
267×	`fma-def_binary64`
262×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	285	3974
1	909	3434
2	4451	3073

Stop Event

1×	node limit

Counts

61 → 118

Calls

Call 1

Inputs
(*.f64 (exp.f64 -15/2) (pow.f64 15/2 1/2))
(+.f64 (.f64 (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (pow.f64 15/2 1/2))) (.f64 (exp.f64 -15/2) (pow.f64 15/2 1/2))) z) (.f64 (exp.f64 -15/2) (pow.f64 15/2 1/2)))
(+.f64 (.f64 (pow.f64 z 2) (+.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) (pow.f64 15/2 1/2))) (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (pow.f64 15/2 1/2))) (.f64 1/2 (.f64 (exp.f64 -15/2) (pow.f64 15/2 1/2)))))) (+.f64 (.f64 (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (pow.f64 15/2 1/2))) (.f64 (exp.f64 -15/2) (pow.f64 15/2 1/2))) z) (.f64 (exp.f64 -15/2) (pow.f64 15/2 1/2))))
(+.f64 (.f64 (+.f64 (.f64 (exp.f64 -15/2) (.f64 (+.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 15/2 1/2))) (+.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) (pow.f64 15/2 1/2))) (+.f64 (.f64 1/6 (.f64 (exp.f64 -15/2) (pow.f64 15/2 1/2))) (.f64 1/2 (.f64 (exp.f64 -15/2) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (pow.f64 15/2 1/2))))))) (pow.f64 z 3)) (+.f64 (.f64 (pow.f64 z 2) (+.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) (pow.f64 15/2 1/2))) (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (pow.f64 15/2 1/2))) (.f64 1/2 (.f64 (exp.f64 -15/2) (pow.f64 15/2 1/2)))))) (+.f64 (.f64 (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (pow.f64 15/2 1/2))) (.f64 (exp.f64 -15/2) (pow.f64 15/2 1/2))) z) (*.f64 (exp.f64 -15/2) (pow.f64 15/2 1/2)))))
(*.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 (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 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (pow.f64 15/2 1/2)))
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(.f64 9999999999998099/10000000000000000 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))))
(+.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 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (-.f64 z 15/2)) (pow.f64 (/.f64 1 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 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (pow.f64 (/.f64 1 z) 3) (exp.f64 (-.f64 z 15/2))))) (.f64 1078390842009938509147167/6250000000000000000000 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 z 15/2)) (pow.f64 (/.f64 1 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))))))
(+.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 (.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 1078390842009938509147167/6250000000000000000000 (.f64 (pow.f64 (/.f64 -1 z) 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 (.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 (.f64 398308844029173303716389/6250000000000000000000 (.f64 (pow.f64 (/.f64 -1 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 (.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 1078390842009938509147167/6250000000000000000000 (.f64 (pow.f64 (/.f64 -1 z) 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)))))))))
1106209385320415913103082059/4200000000000000000000000
(+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 102757979785251069442117317613/235200000000000000000000000 z))
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(+.f64 (.f64 64608921419941589693928044520019/118540800000000000000000000000 (pow.f64 z 2)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (+.f64 (.f64 102757979785251069442117317613/235200000000000000000000000 z) (*.f64 4027292589444183035165374538123333/6638284800000000000000000000000 (pow.f64 z 3)))))
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(pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))) (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.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)
(log.f64 (exp.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))) (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.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)))))))
(cbrt.f64 (.f64 (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))) (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.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 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))) (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.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 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))) (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.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)))))))
(expm1.f64 (log1p.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))) (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.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)))))))
(log1p.f64 (expm1.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))) (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.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)))))))
(exp.f64 (log.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))) (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.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 (exp.f64 -15/2) (pow.f64 15/2 1/2))
(*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))
(+.f64 (.f64 (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (pow.f64 15/2 1/2))) (.f64 (exp.f64 -15/2) (pow.f64 15/2 1/2))) z) (.f64 (exp.f64 -15/2) (pow.f64 15/2 1/2)))
(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 (exp.f64 -15/2) (sqrt.f64 15/2)))
(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 (pow.f64 z 2) (+.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) (pow.f64 15/2 1/2))) (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (pow.f64 15/2 1/2))) (.f64 1/2 (.f64 (exp.f64 -15/2) (pow.f64 15/2 1/2)))))) (+.f64 (.f64 (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (pow.f64 15/2 1/2))) (.f64 (exp.f64 -15/2) (pow.f64 15/2 1/2))) z) (.f64 (exp.f64 -15/2) (pow.f64 15/2 1/2))))
(fma.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))) (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 (exp.f64 -15/2) (sqrt.f64 15/2))))
(fma.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))) (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)))
(fma.f64 (.f64 z z) (.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 (+.f64 (.f64 z (fma.f64 -1 (log.f64 15/2) 14/15)) 1) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))
(+.f64 (.f64 (+.f64 (.f64 (exp.f64 -15/2) (.f64 (+.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 15/2 1/2))) (+.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) (pow.f64 15/2 1/2))) (+.f64 (.f64 1/6 (.f64 (exp.f64 -15/2) (pow.f64 15/2 1/2))) (.f64 1/2 (.f64 (exp.f64 -15/2) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (pow.f64 15/2 1/2))))))) (pow.f64 z 3)) (+.f64 (.f64 (pow.f64 z 2) (+.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) (pow.f64 15/2 1/2))) (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (pow.f64 15/2 1/2))) (.f64 1/2 (.f64 (exp.f64 -15/2) (pow.f64 15/2 1/2)))))) (+.f64 (.f64 (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (pow.f64 15/2 1/2))) (.f64 (exp.f64 -15/2) (pow.f64 15/2 1/2))) z) (*.f64 (exp.f64 -15/2) (pow.f64 15/2 1/2)))))
(fma.f64 (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 (+.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 1/6 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 1/2 (.f64 (.f64 (exp.f64 -15/2) (fma.f64 -1 (log.f64 15/2) -1/15)) (sqrt.f64 15/2)))))) (pow.f64 z 3) (fma.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))) (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 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(fma.f64 (+.f64 (fma.f64 1/2 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (fma.f64 -1 (log.f64 15/2) -1/15))) (.f64 (sqrt.f64 15/2) (.f64 (exp.f64 -15/2) 1/6))) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (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)) (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2) 29/225)))) (pow.f64 z 3) (fma.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))) (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))))
(fma.f64 (+.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 (-.f64 -1/15 (log.f64 15/2)) 29/225 (fma.f64 1/6 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 3) 86/10125)) (+.f64 (fma.f64 1/2 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 2) 29/225) 1/6))) (.f64 (.f64 (sqrt.f64 15/2) (-.f64 -1/15 (log.f64 15/2))) (.f64 (exp.f64 -15/2) 1/2))) (pow.f64 z 3) (fma.f64 (.f64 z z) (.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 (+.f64 (.f64 z (fma.f64 -1 (log.f64 15/2) 14/15)) 1) (*.f64 (exp.f64 -15/2) (sqrt.f64 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 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))
(/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))
(*.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 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))
(/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))
(*.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 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))
(/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))
(*.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 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))
(/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 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 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))
(*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))
(/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 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 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))
(*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))
(/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 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 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))
(*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))
(/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 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 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))
(*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))
(/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (pow.f64 15/2 1/2)))
(.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 1106209385320415913103082059/4200000000000000000000000)
(.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000))
(+.f64 (.f64 (+.f64 (.f64 (pow.f64 15/2 1/2) (+.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) (pow.f64 15/2 1/2))))) z) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (pow.f64 15/2 1/2))))
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(+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(log1p.f64 (expm1.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))) (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.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 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (-.f64 z 6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (-.f64 z 7)))))))
(+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(exp.f64 (log.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))) (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.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 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (-.f64 z 6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (-.f64 z 7)))))))
(+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))

eval1.3s (1.7%)

Compiler: Compiled 66467 to 54229 computations (18.4% saved)

prune331.0ms (0.5%)

Pruning

51 alts after pruning (44 fresh and 7 done)

	Pruned	Kept	Total
New	878	16	894
Fresh	17	28	45
Picked	0	1	1
Done	2	6	8
Total	897	51	948

Error

0.0b

Counts

948 → 51

Alt Table

Click to see full alt table

Status	Error	Program
	1.7b	(pow.f64 (.f64 (/.f64 z (sqrt.f64 (.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) (exp.f64 15/2)) -1)
	2.7b	(/.f64 (pow.f64 (/.f64 (cbrt.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (exp.f64 5)) 3/2) z)
	1.7b	(/.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (exp.f64 15/2)) z)
	2.4b	(/.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) (/.f64 z (sqrt.f64 (*.f64 (PI.f64) 2))))
✓	2.3b	(/.f64 (sqrt.f64 (/.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (exp.f64 15))) z)
	31.3b	(/.f64 (sqrt.f64 (/.f64 (PI.f64) (/.f64 (exp.f64 15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) (.f64 (cbrt.f64 (.f64 z z)) (cbrt.f64 z)))
	2.4b	(/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 z (.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000))))
	1.6b	(/.f64 (sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (PI.f64))) (.f64 z (exp.f64 15/2)))
	2.0b	(/.f64 (sqrt.f64 15/2) (/.f64 (/.f64 z 1106209385320415913103082059/4200000000000000000000000) (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 2 (PI.f64))))))
	2.7b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 2 (PI.f64)))) 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 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 2 z) 2)) (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))))) 2))) 3) (-.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)))))))
	2.7b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 2 (PI.f64)))) 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 (/.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 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
	0.4b	(.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 (-.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 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
	1.5b	(.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 -105381455914863113/10000000000000000 z) 41652288634797769/1000000000000000)))) (+.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 -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)))))))
	1.1b	(.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)))))))
	1.7b	(.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 z 102757979785251069442117317613/235200000000000000000000000))))
	0.4b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 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 (/.f64 (fma.f64 (sqrt.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 2 z) 2))) (sqrt.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 2 z) 2))) (*.f64 (neg.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 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
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	8.1b	(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15))))) 1) 1106209385320415913103082059/4200000000000000000000000)))
	10.7b	(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15))))))) 1106209385320415913103082059/4200000000000000000000000)))
	8.2b	(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (log.f64 (exp.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15))))) 1106209385320415913103082059/4200000000000000000000000)))
	4.0b	(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 (*.f64 (+.f64 -5/2 (log.f64 (pow.f64 15/2 1/6))) 3)) 1106209385320415913103082059/4200000000000000000000000)))
	3.9b	(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 (.f64 (.f64 3 (fma.f64 1/2 (log.f64 15/2) -15/2)) 1/3)) 1106209385320415913103082059/4200000000000000000000000)))
	3.4b	(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (+.f64 -15/2 (log.f64 (.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000))))))
	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 (.f64 -3147848041806007/2500000000000 (-.f64 1 z)) (.f64 (-.f64 2 z) 6765203681218851/10000000000000)) (.f64 (-.f64 2 z) (-.f64 1 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))))))
	1.9b	(.f64 (.f64 (cbrt.f64 (pow.f64 (PI.f64) 3/2)) (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 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 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.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))))))
	1.2b	(.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 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))) (exp.f64 (+.f64 z -15/2))))))
	1.6b	(.f64 (sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (PI.f64))) (/.f64 (exp.f64 -15/2) z))
	49.3b	(sqrt.f64 (*.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 15) (PI.f64))) (pow.f64 z -2)))
	36.8b	(fabs.f64 (/.f64 (sqrt.f64 (/.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (exp.f64 15))) z))
	39.1b	(exp.f64 (-.f64 (.f64 (+.f64 (log.f64 (.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) -15) 1/2) (log.f64 z)))
	39.1b	(exp.f64 (.f64 (+.f64 (log.f64 (/.f64 z (sqrt.f64 (.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))) 15/2) -1))
	39.3b	(exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (*.f64 z (exp.f64 15/2))))) 3))

Compiler

Compiled 3332 to 2817 computations (15.5% saved)

regimes275.0ms (0.4%)

Counts

92 → 1

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (PI.f64))) (/.f64 (exp.f64 -15/2) z))
(/.f64 (sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (PI.f64))) (.f64 z (exp.f64 15/2)))
(/.f64 (sqrt.f64 (/.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (exp.f64 15))) z)
(/.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (exp.f64 15/2)) z)
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (exp.f64 -15/2)))
(fabs.f64 (/.f64 (sqrt.f64 (/.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (exp.f64 15))) z))
(sqrt.f64 (.f64 (PI.f64) (.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15)) (pow.f64 z -2))))
(sqrt.f64 (.f64 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (*.f64 (PI.f64) (pow.f64 z -2))))
(sqrt.f64 (*.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 15) (PI.f64))) (pow.f64 z -2)))
(/.f64 (pow.f64 (/.f64 (cbrt.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (exp.f64 5)) 3/2) z)
(pow.f64 (.f64 (/.f64 z (sqrt.f64 (.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) (exp.f64 15/2)) -1)
(exp.f64 (.f64 (+.f64 (log.f64 (/.f64 z (sqrt.f64 (.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))) 15/2) -1))
(exp.f64 (-.f64 (.f64 (+.f64 (log.f64 (.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) -15) 1/2) (log.f64 z)))
(sqrt.f64 (.f64 (.f64 (.f64 2 (PI.f64)) (.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000 (exp.f64 -15))) (pow.f64 z -2)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 (/.f64 z (sqrt.f64 (.f64 2 (PI.f64)))) (sqrt.f64 15/2))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 2 (PI.f64)))) (sqrt.f64 15/2)) z))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z)))
(/.f64 (sqrt.f64 15/2) (/.f64 (/.f64 z 1106209385320415913103082059/4200000000000000000000000) (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 2 (PI.f64))))))
(/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 z (.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000))))
(/.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) (/.f64 z (sqrt.f64 (*.f64 (PI.f64) 2))))
(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (/.f64 z 1106209385320415913103082059/4200000000000000000000000))
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 (.f64 (+.f64 -15/4 (.f64 1/4 (log.f64 15/2))) 2)) 1106209385320415913103082059/4200000000000000000000000)))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (.f64 15/2 (exp.f64 -15))))) z)))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (.f64 15/2 (exp.f64 -15))))) z)))
(/.f64 (sqrt.f64 (/.f64 (PI.f64) (/.f64 (exp.f64 15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) (.f64 (cbrt.f64 (.f64 z z)) (cbrt.f64 z)))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (.f64 15/2 (exp.f64 -15))))) z) 3))
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (.f64 15/2 (exp.f64 -15))))) z)) 2)
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (+.f64 -15/2 (log.f64 (.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000))))))
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (*.f64 (pow.f64 15/2 3/2) (exp.f64 -45/2)) 1/3) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 (*.f64 (+.f64 -5/2 (log.f64 (pow.f64 15/2 1/6))) 3)) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 (.f64 (.f64 3 (fma.f64 1/2 (log.f64 15/2) -15/2)) 1/3)) 1106209385320415913103082059/4200000000000000000000000)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (*.f64 z (exp.f64 15/2))))) 3))
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (log.f64 (exp.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15))))) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15))))) 1) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (sqrt.f64 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (.f64 (/.f64 1 (sin.f64 (.f64 (PI.f64) z))) (PI.f64)) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15))))))) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 (.f64 (+.f64 -15/4 (*.f64 1/4 (log.f64 15/2))) 2)) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (*.f64 9999999999998099/10000000000000000 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (-.f64 15/2 z)))))
(.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 9999999999998099/10000000000000000 (/.f64 611458333333720910362579/25000000000000000000000 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 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000))))
(.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 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)))))
(.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 9999999999998099/10000000000000000 (/.f64 611458333333720910362579/25000000000000000000000 z)))))
(.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 (+.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 (.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 1078390842009938509147167/6250000000000000000000 z) z) (+.f64 9999999999998099/10000000000000000 (/.f64 -611458333333720910362579/25000000000000000000000 z))))))
(.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 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))) (+.f64 (/.f64 (/.f64 1078390842009938509147167/6250000000000000000000 z) z) (+.f64 9999999999998099/10000000000000000 (/.f64 -611458333333720910362579/25000000000000000000000 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 7902188421553103227/30000000000000000 (+.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 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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(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 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 (/.f64 (+.f64 (fma.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (neg.f64 (.f64 (cbrt.f64 (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))))) 2)) (pow.f64 (cbrt.f64 (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))))) 2)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (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))))) 2))) (pow.f64 (cbrt.f64 (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))))) 2)) 2) (.f64 (cbrt.f64 (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))))) 2)) (pow.f64 (cbrt.f64 (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))))) 2)) 2)))) (-.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 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 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 (/.f64 (+.f64 (fma.f64 1 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 2 z) 2)) (neg.f64 (.f64 (cbrt.f64 (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))))) 2)) (pow.f64 (cbrt.f64 (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))))) 2)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (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))))) 2))) (pow.f64 (cbrt.f64 (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))))) 2)) 2) (.f64 (cbrt.f64 (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))))) 2)) (pow.f64 (cbrt.f64 (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))))) 2)) 2)))) (-.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 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 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 (/.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 2 z) 2))) (sqrt.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 2 z) 2))) (neg.f64 (.f64 (cbrt.f64 (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))))) 2)) (pow.f64 (cbrt.f64 (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))))) 2)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (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))))) 2))) (pow.f64 (cbrt.f64 (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))))) 2)) 2) (.f64 (cbrt.f64 (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))))) 2)) (pow.f64 (cbrt.f64 (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))))) 2)) 2)))) (-.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)))))))

Outputs

(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 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 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 2 z) 2)) (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))))) 2))) 3) (-.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)))))))

Calls

2 calls:

61.0ms

(*.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)))))

39.0ms

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 5465 to 4331 computations (20.8% saved)

regimes189.0ms (0.3%)

Counts

82 → 1

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (PI.f64))) (/.f64 (exp.f64 -15/2) z))
(/.f64 (sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (PI.f64))) (.f64 z (exp.f64 15/2)))
(/.f64 (sqrt.f64 (/.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (exp.f64 15))) z)
(/.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (exp.f64 15/2)) z)
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (exp.f64 -15/2)))
(fabs.f64 (/.f64 (sqrt.f64 (/.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (exp.f64 15))) z))
(sqrt.f64 (.f64 (PI.f64) (.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15)) (pow.f64 z -2))))
(sqrt.f64 (.f64 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (*.f64 (PI.f64) (pow.f64 z -2))))
(sqrt.f64 (*.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 15) (PI.f64))) (pow.f64 z -2)))
(/.f64 (pow.f64 (/.f64 (cbrt.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (exp.f64 5)) 3/2) z)
(pow.f64 (.f64 (/.f64 z (sqrt.f64 (.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) (exp.f64 15/2)) -1)
(exp.f64 (.f64 (+.f64 (log.f64 (/.f64 z (sqrt.f64 (.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))) 15/2) -1))
(exp.f64 (-.f64 (.f64 (+.f64 (log.f64 (.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) -15) 1/2) (log.f64 z)))
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Outputs

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Calls

2 calls:

43.0ms

(*.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)))))

37.0ms

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 3676 to 2851 computations (22.4% saved)

regimes169.0ms (0.2%)

Counts

77 → 1

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (PI.f64))) (/.f64 (exp.f64 -15/2) z))
(/.f64 (sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (PI.f64))) (.f64 z (exp.f64 15/2)))
(/.f64 (sqrt.f64 (/.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (exp.f64 15))) z)
(/.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (exp.f64 15/2)) z)
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (exp.f64 -15/2)))
(fabs.f64 (/.f64 (sqrt.f64 (/.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (exp.f64 15))) z))
(sqrt.f64 (.f64 (PI.f64) (.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15)) (pow.f64 z -2))))
(sqrt.f64 (.f64 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (*.f64 (PI.f64) (pow.f64 z -2))))
(sqrt.f64 (*.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 15) (PI.f64))) (pow.f64 z -2)))
(/.f64 (pow.f64 (/.f64 (cbrt.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (exp.f64 5)) 3/2) z)
(pow.f64 (.f64 (/.f64 z (sqrt.f64 (.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) (exp.f64 15/2)) -1)
(exp.f64 (.f64 (+.f64 (log.f64 (/.f64 z (sqrt.f64 (.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))) 15/2) -1))
(exp.f64 (-.f64 (.f64 (+.f64 (log.f64 (.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) -15) 1/2) (log.f64 z)))
(sqrt.f64 (.f64 (.f64 (.f64 2 (PI.f64)) (.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000 (exp.f64 -15))) (pow.f64 z -2)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 (/.f64 z (sqrt.f64 (.f64 2 (PI.f64)))) (sqrt.f64 15/2))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 2 (PI.f64)))) (sqrt.f64 15/2)) z))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z)))
(/.f64 (sqrt.f64 15/2) (/.f64 (/.f64 z 1106209385320415913103082059/4200000000000000000000000) (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 2 (PI.f64))))))
(/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 z (.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000))))
(/.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) (/.f64 z (sqrt.f64 (*.f64 (PI.f64) 2))))
(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (/.f64 z 1106209385320415913103082059/4200000000000000000000000))
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 (.f64 (+.f64 -15/4 (.f64 1/4 (log.f64 15/2))) 2)) 1106209385320415913103082059/4200000000000000000000000)))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (.f64 15/2 (exp.f64 -15))))) z)))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (.f64 15/2 (exp.f64 -15))))) z)))
(/.f64 (sqrt.f64 (/.f64 (PI.f64) (/.f64 (exp.f64 15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) (.f64 (cbrt.f64 (.f64 z z)) (cbrt.f64 z)))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (.f64 15/2 (exp.f64 -15))))) z) 3))
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (.f64 15/2 (exp.f64 -15))))) z)) 2)
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (+.f64 -15/2 (log.f64 (.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000))))))
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (*.f64 (pow.f64 15/2 3/2) (exp.f64 -45/2)) 1/3) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 (*.f64 (+.f64 -5/2 (log.f64 (pow.f64 15/2 1/6))) 3)) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 (.f64 (.f64 3 (fma.f64 1/2 (log.f64 15/2) -15/2)) 1/3)) 1106209385320415913103082059/4200000000000000000000000)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (*.f64 z (exp.f64 15/2))))) 3))
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (log.f64 (exp.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15))))) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15))))) 1) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (sqrt.f64 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (.f64 (/.f64 1 (sin.f64 (.f64 (PI.f64) z))) (PI.f64)) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15))))))) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 (.f64 (+.f64 -15/4 (*.f64 1/4 (log.f64 15/2))) 2)) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (*.f64 9999999999998099/10000000000000000 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (-.f64 15/2 z)))))
(.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 9999999999998099/10000000000000000 (/.f64 611458333333720910362579/25000000000000000000000 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 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000))))
(.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 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)))))
(.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 9999999999998099/10000000000000000 (/.f64 611458333333720910362579/25000000000000000000000 z)))))
(.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 (+.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 (.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 1078390842009938509147167/6250000000000000000000 z) z) (+.f64 9999999999998099/10000000000000000 (/.f64 -611458333333720910362579/25000000000000000000000 z))))))
(.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 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))) (+.f64 (/.f64 (/.f64 1078390842009938509147167/6250000000000000000000 z) z) (+.f64 9999999999998099/10000000000000000 (/.f64 -611458333333720910362579/25000000000000000000000 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 7902188421553103227/30000000000000000 (+.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 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 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 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 (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 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))) (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 -105381455914863113/10000000000000000 z) 41652288634797769/1000000000000000)) (+.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 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (-.f64 (*.f64 -105381455914863113/10000000000000000 z) 41652288634797769/1000000000000000)))) (+.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 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (-.f64 (*.f64 -105381455914863113/10000000000000000 z) 41652288634797769/1000000000000000)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
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(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 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 (+.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)))))))

Outputs

(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 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 (/.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 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))

Calls

2 calls:

40.0ms

(*.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)))))

32.0ms

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 3248 to 2517 computations (22.5% saved)

regimes159.0ms (0.2%)

Counts

74 → 1

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (PI.f64))) (/.f64 (exp.f64 -15/2) z))
(/.f64 (sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (PI.f64))) (.f64 z (exp.f64 15/2)))
(/.f64 (sqrt.f64 (/.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (exp.f64 15))) z)
(/.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (exp.f64 15/2)) z)
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (exp.f64 -15/2)))
(fabs.f64 (/.f64 (sqrt.f64 (/.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (exp.f64 15))) z))
(sqrt.f64 (.f64 (PI.f64) (.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15)) (pow.f64 z -2))))
(sqrt.f64 (.f64 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (*.f64 (PI.f64) (pow.f64 z -2))))
(sqrt.f64 (*.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 15) (PI.f64))) (pow.f64 z -2)))
(/.f64 (pow.f64 (/.f64 (cbrt.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (exp.f64 5)) 3/2) z)
(pow.f64 (.f64 (/.f64 z (sqrt.f64 (.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) (exp.f64 15/2)) -1)
(exp.f64 (.f64 (+.f64 (log.f64 (/.f64 z (sqrt.f64 (.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))) 15/2) -1))
(exp.f64 (-.f64 (.f64 (+.f64 (log.f64 (.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) -15) 1/2) (log.f64 z)))
(sqrt.f64 (.f64 (.f64 (.f64 2 (PI.f64)) (.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000 (exp.f64 -15))) (pow.f64 z -2)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 (/.f64 z (sqrt.f64 (.f64 2 (PI.f64)))) (sqrt.f64 15/2))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 2 (PI.f64)))) (sqrt.f64 15/2)) z))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z)))
(/.f64 (sqrt.f64 15/2) (/.f64 (/.f64 z 1106209385320415913103082059/4200000000000000000000000) (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 2 (PI.f64))))))
(/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 z (.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000))))
(/.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) (/.f64 z (sqrt.f64 (*.f64 (PI.f64) 2))))
(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (/.f64 z 1106209385320415913103082059/4200000000000000000000000))
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 (.f64 (+.f64 -15/4 (.f64 1/4 (log.f64 15/2))) 2)) 1106209385320415913103082059/4200000000000000000000000)))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (.f64 15/2 (exp.f64 -15))))) z)))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (.f64 15/2 (exp.f64 -15))))) z)))
(/.f64 (sqrt.f64 (/.f64 (PI.f64) (/.f64 (exp.f64 15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) (.f64 (cbrt.f64 (.f64 z z)) (cbrt.f64 z)))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (.f64 15/2 (exp.f64 -15))))) z) 3))
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (.f64 15/2 (exp.f64 -15))))) z)) 2)
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (+.f64 -15/2 (log.f64 (.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000))))))
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (*.f64 (pow.f64 15/2 3/2) (exp.f64 -45/2)) 1/3) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 (*.f64 (+.f64 -5/2 (log.f64 (pow.f64 15/2 1/6))) 3)) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 (.f64 (.f64 3 (fma.f64 1/2 (log.f64 15/2) -15/2)) 1/3)) 1106209385320415913103082059/4200000000000000000000000)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (*.f64 z (exp.f64 15/2))))) 3))
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (log.f64 (exp.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15))))) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15))))) 1) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (sqrt.f64 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (.f64 (/.f64 1 (sin.f64 (.f64 (PI.f64) z))) (PI.f64)) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15))))))) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 (.f64 (+.f64 -15/4 (*.f64 1/4 (log.f64 15/2))) 2)) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (*.f64 9999999999998099/10000000000000000 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (-.f64 15/2 z)))))
(.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 9999999999998099/10000000000000000 (/.f64 611458333333720910362579/25000000000000000000000 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 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000))))
(.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 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)))))
(.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 9999999999998099/10000000000000000 (/.f64 611458333333720910362579/25000000000000000000000 z)))))
(.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 (+.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 (.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 1078390842009938509147167/6250000000000000000000 z) z) (+.f64 9999999999998099/10000000000000000 (/.f64 -611458333333720910362579/25000000000000000000000 z))))))
(.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 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))) (+.f64 (/.f64 (/.f64 1078390842009938509147167/6250000000000000000000 z) z) (+.f64 9999999999998099/10000000000000000 (/.f64 -611458333333720910362579/25000000000000000000000 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 7902188421553103227/30000000000000000 (+.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 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 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 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 (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 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))) (exp.f64 (+.f64 z -15/2))))))
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Outputs

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Calls

2 calls:

38.0ms

(*.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)))))

34.0ms

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 2946 to 2281 computations (22.6% saved)

regimes125.0ms (0.2%)

Counts

65 → 1

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (PI.f64))) (/.f64 (exp.f64 -15/2) z))
(/.f64 (sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (PI.f64))) (.f64 z (exp.f64 15/2)))
(/.f64 (sqrt.f64 (/.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (exp.f64 15))) z)
(/.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (exp.f64 15/2)) z)
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (exp.f64 -15/2)))
(fabs.f64 (/.f64 (sqrt.f64 (/.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (exp.f64 15))) z))
(sqrt.f64 (.f64 (PI.f64) (.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15)) (pow.f64 z -2))))
(sqrt.f64 (.f64 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (*.f64 (PI.f64) (pow.f64 z -2))))
(sqrt.f64 (*.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 15) (PI.f64))) (pow.f64 z -2)))
(/.f64 (pow.f64 (/.f64 (cbrt.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (exp.f64 5)) 3/2) z)
(pow.f64 (.f64 (/.f64 z (sqrt.f64 (.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) (exp.f64 15/2)) -1)
(exp.f64 (.f64 (+.f64 (log.f64 (/.f64 z (sqrt.f64 (.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))) 15/2) -1))
(exp.f64 (-.f64 (.f64 (+.f64 (log.f64 (.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) -15) 1/2) (log.f64 z)))
(sqrt.f64 (.f64 (.f64 (.f64 2 (PI.f64)) (.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000 (exp.f64 -15))) (pow.f64 z -2)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 (/.f64 z (sqrt.f64 (.f64 2 (PI.f64)))) (sqrt.f64 15/2))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 2 (PI.f64)))) (sqrt.f64 15/2)) z))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z)))
(/.f64 (sqrt.f64 15/2) (/.f64 (/.f64 z 1106209385320415913103082059/4200000000000000000000000) (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 2 (PI.f64))))))
(/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 z (.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000))))
(/.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) (/.f64 z (sqrt.f64 (*.f64 (PI.f64) 2))))
(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (/.f64 z 1106209385320415913103082059/4200000000000000000000000))
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 (.f64 (+.f64 -15/4 (.f64 1/4 (log.f64 15/2))) 2)) 1106209385320415913103082059/4200000000000000000000000)))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (.f64 15/2 (exp.f64 -15))))) z)))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (.f64 15/2 (exp.f64 -15))))) z)))
(/.f64 (sqrt.f64 (/.f64 (PI.f64) (/.f64 (exp.f64 15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) (.f64 (cbrt.f64 (.f64 z z)) (cbrt.f64 z)))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (.f64 15/2 (exp.f64 -15))))) z) 3))
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (.f64 15/2 (exp.f64 -15))))) z)) 2)
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (+.f64 -15/2 (log.f64 (.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000))))))
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (*.f64 (pow.f64 15/2 3/2) (exp.f64 -45/2)) 1/3) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 (*.f64 (+.f64 -5/2 (log.f64 (pow.f64 15/2 1/6))) 3)) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 (.f64 (.f64 3 (fma.f64 1/2 (log.f64 15/2) -15/2)) 1/3)) 1106209385320415913103082059/4200000000000000000000000)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (*.f64 z (exp.f64 15/2))))) 3))
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (log.f64 (exp.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15))))) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15))))) 1) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (sqrt.f64 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (.f64 (/.f64 1 (sin.f64 (.f64 (PI.f64) z))) (PI.f64)) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15))))))) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 (.f64 (+.f64 -15/4 (*.f64 1/4 (log.f64 15/2))) 2)) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (*.f64 9999999999998099/10000000000000000 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (-.f64 15/2 z)))))
(.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 9999999999998099/10000000000000000 (/.f64 611458333333720910362579/25000000000000000000000 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 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000))))
(.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 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)))))
(.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 9999999999998099/10000000000000000 (/.f64 611458333333720910362579/25000000000000000000000 z)))))
(.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 (+.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 (.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 1078390842009938509147167/6250000000000000000000 z) z) (+.f64 9999999999998099/10000000000000000 (/.f64 -611458333333720910362579/25000000000000000000000 z))))))
(.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 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))) (+.f64 (/.f64 (/.f64 1078390842009938509147167/6250000000000000000000 z) z) (+.f64 9999999999998099/10000000000000000 (/.f64 -611458333333720910362579/25000000000000000000000 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 7902188421553103227/30000000000000000 (+.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 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 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 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 (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 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))) (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 -105381455914863113/10000000000000000 z) 41652288634797769/1000000000000000)) (+.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 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (-.f64 (*.f64 -105381455914863113/10000000000000000 z) 41652288634797769/1000000000000000)))) (+.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 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (-.f64 (*.f64 -105381455914863113/10000000000000000 z) 41652288634797769/1000000000000000)))) (+.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 -883075145810703/5000000000000 (-.f64 4 z)) (+.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))))))
(.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 (/.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)))))))
(.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 (-.f64 2 z) (.f64 (-.f64 10000000000000/6765203681218851 (/.f64 z 6765203681218851/10000000000000)) -3147848041806007/2500000000000)) (.f64 (-.f64 10000000000000/6765203681218851 (/.f64 z 6765203681218851/10000000000000)) (-.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 (/.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 (+.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 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5)))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (-.f64 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 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (.f64 (pow.f64 15/2 3/2) (exp.f64 -45/2)) 1/3) 1106209385320415913103082059/4200000000000000000000000)))
(.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 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.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 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5)))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (-.f64 z 6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))

Calls

2 calls:

36.0ms

(*.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)))))

27.0ms

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 2187 to 1699 computations (22.3% saved)

regimes79.0ms (0.1%)

Counts

61 → 1

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (PI.f64))) (/.f64 (exp.f64 -15/2) z))
(/.f64 (sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (PI.f64))) (.f64 z (exp.f64 15/2)))
(/.f64 (sqrt.f64 (/.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (exp.f64 15))) z)
(/.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (exp.f64 15/2)) z)
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (exp.f64 -15/2)))
(fabs.f64 (/.f64 (sqrt.f64 (/.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (exp.f64 15))) z))
(sqrt.f64 (.f64 (PI.f64) (.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15)) (pow.f64 z -2))))
(sqrt.f64 (.f64 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (*.f64 (PI.f64) (pow.f64 z -2))))
(sqrt.f64 (*.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 15) (PI.f64))) (pow.f64 z -2)))
(/.f64 (pow.f64 (/.f64 (cbrt.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (exp.f64 5)) 3/2) z)
(pow.f64 (.f64 (/.f64 z (sqrt.f64 (.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) (exp.f64 15/2)) -1)
(exp.f64 (.f64 (+.f64 (log.f64 (/.f64 z (sqrt.f64 (.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))) 15/2) -1))
(exp.f64 (-.f64 (.f64 (+.f64 (log.f64 (.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) -15) 1/2) (log.f64 z)))
(sqrt.f64 (.f64 (.f64 (.f64 2 (PI.f64)) (.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000 (exp.f64 -15))) (pow.f64 z -2)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 (/.f64 z (sqrt.f64 (.f64 2 (PI.f64)))) (sqrt.f64 15/2))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 2 (PI.f64)))) (sqrt.f64 15/2)) z))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z)))
(/.f64 (sqrt.f64 15/2) (/.f64 (/.f64 z 1106209385320415913103082059/4200000000000000000000000) (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 2 (PI.f64))))))
(/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 z (.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000))))
(/.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) (/.f64 z (sqrt.f64 (*.f64 (PI.f64) 2))))
(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (/.f64 z 1106209385320415913103082059/4200000000000000000000000))
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 (.f64 (+.f64 -15/4 (.f64 1/4 (log.f64 15/2))) 2)) 1106209385320415913103082059/4200000000000000000000000)))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (.f64 15/2 (exp.f64 -15))))) z)))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (.f64 15/2 (exp.f64 -15))))) z)))
(/.f64 (sqrt.f64 (/.f64 (PI.f64) (/.f64 (exp.f64 15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) (.f64 (cbrt.f64 (.f64 z z)) (cbrt.f64 z)))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (.f64 15/2 (exp.f64 -15))))) z) 3))
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (.f64 15/2 (exp.f64 -15))))) z)) 2)
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (+.f64 -15/2 (log.f64 (.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000))))))
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (*.f64 (pow.f64 15/2 3/2) (exp.f64 -45/2)) 1/3) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 (*.f64 (+.f64 -5/2 (log.f64 (pow.f64 15/2 1/6))) 3)) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 (.f64 (.f64 3 (fma.f64 1/2 (log.f64 15/2) -15/2)) 1/3)) 1106209385320415913103082059/4200000000000000000000000)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (*.f64 z (exp.f64 15/2))))) 3))
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (log.f64 (exp.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15))))) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15))))) 1) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (sqrt.f64 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (.f64 (/.f64 1 (sin.f64 (.f64 (PI.f64) z))) (PI.f64)) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15))))))) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 (.f64 (+.f64 -15/4 (*.f64 1/4 (log.f64 15/2))) 2)) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (*.f64 9999999999998099/10000000000000000 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (-.f64 15/2 z)))))
(.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 9999999999998099/10000000000000000 (/.f64 611458333333720910362579/25000000000000000000000 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 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000))))
(.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 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)))))
(.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 9999999999998099/10000000000000000 (/.f64 611458333333720910362579/25000000000000000000000 z)))))
(.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 (+.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 (.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 1078390842009938509147167/6250000000000000000000 z) z) (+.f64 9999999999998099/10000000000000000 (/.f64 -611458333333720910362579/25000000000000000000000 z))))))
(.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 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))) (+.f64 (/.f64 (/.f64 1078390842009938509147167/6250000000000000000000 z) z) (+.f64 9999999999998099/10000000000000000 (/.f64 -611458333333720910362579/25000000000000000000000 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 7902188421553103227/30000000000000000 (+.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 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 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 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 (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 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))) (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 -105381455914863113/10000000000000000 z) 41652288634797769/1000000000000000)) (+.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 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (-.f64 (*.f64 -105381455914863113/10000000000000000 z) 41652288634797769/1000000000000000)))) (+.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 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (-.f64 (*.f64 -105381455914863113/10000000000000000 z) 41652288634797769/1000000000000000)))) (+.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 -883075145810703/5000000000000 (-.f64 4 z)) (+.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))))))
(.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 (/.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)))))))
(.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 (-.f64 2 z) (.f64 (-.f64 10000000000000/6765203681218851 (/.f64 z 6765203681218851/10000000000000)) -3147848041806007/2500000000000)) (.f64 (-.f64 10000000000000/6765203681218851 (/.f64 z 6765203681218851/10000000000000)) (-.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 -883075145810703/5000000000000 (-.f64 4 z)) (+.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))))))

Calls

1 calls:

29.0ms

Results

Error	Segments	Branch
0.7b	1	`z`

Compiler

Compiled 1730 to 1317 computations (23.9% saved)

regimes66.0ms (0.1%)

Counts

56 → 1

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (PI.f64))) (/.f64 (exp.f64 -15/2) z))
(/.f64 (sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (PI.f64))) (.f64 z (exp.f64 15/2)))
(/.f64 (sqrt.f64 (/.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (exp.f64 15))) z)
(/.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (exp.f64 15/2)) z)
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (exp.f64 -15/2)))
(fabs.f64 (/.f64 (sqrt.f64 (/.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (exp.f64 15))) z))
(sqrt.f64 (.f64 (PI.f64) (.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15)) (pow.f64 z -2))))
(sqrt.f64 (.f64 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (*.f64 (PI.f64) (pow.f64 z -2))))
(sqrt.f64 (*.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 15) (PI.f64))) (pow.f64 z -2)))
(/.f64 (pow.f64 (/.f64 (cbrt.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (exp.f64 5)) 3/2) z)
(pow.f64 (.f64 (/.f64 z (sqrt.f64 (.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) (exp.f64 15/2)) -1)
(exp.f64 (.f64 (+.f64 (log.f64 (/.f64 z (sqrt.f64 (.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))) 15/2) -1))
(exp.f64 (-.f64 (.f64 (+.f64 (log.f64 (.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) -15) 1/2) (log.f64 z)))
(sqrt.f64 (.f64 (.f64 (.f64 2 (PI.f64)) (.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000 (exp.f64 -15))) (pow.f64 z -2)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 (/.f64 z (sqrt.f64 (.f64 2 (PI.f64)))) (sqrt.f64 15/2))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 2 (PI.f64)))) (sqrt.f64 15/2)) z))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z)))
(/.f64 (sqrt.f64 15/2) (/.f64 (/.f64 z 1106209385320415913103082059/4200000000000000000000000) (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 2 (PI.f64))))))
(/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 z (.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000))))
(/.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) (/.f64 z (sqrt.f64 (*.f64 (PI.f64) 2))))
(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (/.f64 z 1106209385320415913103082059/4200000000000000000000000))
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 (.f64 (+.f64 -15/4 (.f64 1/4 (log.f64 15/2))) 2)) 1106209385320415913103082059/4200000000000000000000000)))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (.f64 15/2 (exp.f64 -15))))) z)))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (.f64 15/2 (exp.f64 -15))))) z)))
(/.f64 (sqrt.f64 (/.f64 (PI.f64) (/.f64 (exp.f64 15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) (.f64 (cbrt.f64 (.f64 z z)) (cbrt.f64 z)))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (.f64 15/2 (exp.f64 -15))))) z) 3))
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (.f64 15/2 (exp.f64 -15))))) z)) 2)
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (+.f64 -15/2 (log.f64 (.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000))))))
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (*.f64 (pow.f64 15/2 3/2) (exp.f64 -45/2)) 1/3) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 (*.f64 (+.f64 -5/2 (log.f64 (pow.f64 15/2 1/6))) 3)) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 (.f64 (.f64 3 (fma.f64 1/2 (log.f64 15/2) -15/2)) 1/3)) 1106209385320415913103082059/4200000000000000000000000)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (*.f64 z (exp.f64 15/2))))) 3))
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (log.f64 (exp.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15))))) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15))))) 1) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (sqrt.f64 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (.f64 (/.f64 1 (sin.f64 (.f64 (PI.f64) z))) (PI.f64)) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15))))))) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 (.f64 (+.f64 -15/4 (*.f64 1/4 (log.f64 15/2))) 2)) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (*.f64 9999999999998099/10000000000000000 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (-.f64 15/2 z)))))
(.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 9999999999998099/10000000000000000 (/.f64 611458333333720910362579/25000000000000000000000 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 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000))))
(.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 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)))))
(.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 9999999999998099/10000000000000000 (/.f64 611458333333720910362579/25000000000000000000000 z)))))
(.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 (+.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 (.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 1078390842009938509147167/6250000000000000000000 z) z) (+.f64 9999999999998099/10000000000000000 (/.f64 -611458333333720910362579/25000000000000000000000 z))))))
(.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 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))) (+.f64 (/.f64 (/.f64 1078390842009938509147167/6250000000000000000000 z) z) (+.f64 9999999999998099/10000000000000000 (/.f64 -611458333333720910362579/25000000000000000000000 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 7902188421553103227/30000000000000000 (+.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 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 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 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 (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 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))) (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 -105381455914863113/10000000000000000 z) 41652288634797769/1000000000000000)) (+.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 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (-.f64 (*.f64 -105381455914863113/10000000000000000 z) 41652288634797769/1000000000000000)))) (+.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 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (-.f64 (*.f64 -105381455914863113/10000000000000000 z) 41652288634797769/1000000000000000)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))

Outputs

(*.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)))))))

Calls

1 calls:

23.0ms

Results

Error	Segments	Branch
1.1b	1	`z`

Compiler

Compiled 1348 to 1029 computations (23.7% saved)

regimes48.0ms (0.1%)

Accuracy

Total -62.3b remaining (-3892.5%)

Threshold costs -62.3b (-3892.5%)

Counts

49 → 1

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (PI.f64))) (/.f64 (exp.f64 -15/2) z))
(/.f64 (sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (PI.f64))) (.f64 z (exp.f64 15/2)))
(/.f64 (sqrt.f64 (/.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (exp.f64 15))) z)
(/.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (exp.f64 15/2)) z)
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (exp.f64 -15/2)))
(fabs.f64 (/.f64 (sqrt.f64 (/.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (exp.f64 15))) z))
(sqrt.f64 (.f64 (PI.f64) (.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15)) (pow.f64 z -2))))
(sqrt.f64 (.f64 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (*.f64 (PI.f64) (pow.f64 z -2))))
(sqrt.f64 (*.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 15) (PI.f64))) (pow.f64 z -2)))
(/.f64 (pow.f64 (/.f64 (cbrt.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (exp.f64 5)) 3/2) z)
(pow.f64 (.f64 (/.f64 z (sqrt.f64 (.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) (exp.f64 15/2)) -1)
(exp.f64 (.f64 (+.f64 (log.f64 (/.f64 z (sqrt.f64 (.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))) 15/2) -1))
(exp.f64 (-.f64 (.f64 (+.f64 (log.f64 (.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) -15) 1/2) (log.f64 z)))
(sqrt.f64 (.f64 (.f64 (.f64 2 (PI.f64)) (.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000 (exp.f64 -15))) (pow.f64 z -2)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 (/.f64 z (sqrt.f64 (.f64 2 (PI.f64)))) (sqrt.f64 15/2))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 2 (PI.f64)))) (sqrt.f64 15/2)) z))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z)))
(/.f64 (sqrt.f64 15/2) (/.f64 (/.f64 z 1106209385320415913103082059/4200000000000000000000000) (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 2 (PI.f64))))))
(/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 z (.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000))))
(/.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) (/.f64 z (sqrt.f64 (*.f64 (PI.f64) 2))))
(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (/.f64 z 1106209385320415913103082059/4200000000000000000000000))
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 (.f64 (+.f64 -15/4 (.f64 1/4 (log.f64 15/2))) 2)) 1106209385320415913103082059/4200000000000000000000000)))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (.f64 15/2 (exp.f64 -15))))) z)))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (.f64 15/2 (exp.f64 -15))))) z)))
(/.f64 (sqrt.f64 (/.f64 (PI.f64) (/.f64 (exp.f64 15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) (.f64 (cbrt.f64 (.f64 z z)) (cbrt.f64 z)))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (.f64 15/2 (exp.f64 -15))))) z) 3))
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (.f64 15/2 (exp.f64 -15))))) z)) 2)
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (+.f64 -15/2 (log.f64 (.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000))))))
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (*.f64 (pow.f64 15/2 3/2) (exp.f64 -45/2)) 1/3) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 (*.f64 (+.f64 -5/2 (log.f64 (pow.f64 15/2 1/6))) 3)) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 (.f64 (.f64 3 (fma.f64 1/2 (log.f64 15/2) -15/2)) 1/3)) 1106209385320415913103082059/4200000000000000000000000)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (*.f64 z (exp.f64 15/2))))) 3))
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (log.f64 (exp.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15))))) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15))))) 1) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (sqrt.f64 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (.f64 (/.f64 1 (sin.f64 (.f64 (PI.f64) z))) (PI.f64)) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15))))))) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 (.f64 (+.f64 -15/4 (*.f64 1/4 (log.f64 15/2))) 2)) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (*.f64 9999999999998099/10000000000000000 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (-.f64 15/2 z)))))
(.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 9999999999998099/10000000000000000 (/.f64 611458333333720910362579/25000000000000000000000 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 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000))))
(.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 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)))))
(.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 9999999999998099/10000000000000000 (/.f64 611458333333720910362579/25000000000000000000000 z)))))
(.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 (+.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 (.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 1078390842009938509147167/6250000000000000000000 z) z) (+.f64 9999999999998099/10000000000000000 (/.f64 -611458333333720910362579/25000000000000000000000 z))))))
(.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 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))) (+.f64 (/.f64 (/.f64 1078390842009938509147167/6250000000000000000000 z) z) (+.f64 9999999999998099/10000000000000000 (/.f64 -611458333333720910362579/25000000000000000000000 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 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 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (PI.f64))) (/.f64 (exp.f64 -15/2) z))

Calls

1 calls:

22.0ms

Results

Error	Segments	Branch
1.6b	1	`z`

Compiler

Compiled 924 to 719 computations (22.2% saved)

simplify143.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

373×	`distribute-rgt-neg-in_binary64`
235×	`distribute-lft-neg-in_binary64`
233×	`cancel-sign-sub-inv_binary64`
203×	`distribute-lft-neg-out_binary64`
195×	`distribute-neg-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	155	1171
1	267	1161
2	328	1161
3	404	1161
4	450	1161
5	481	1161
6	507	1161
7	535	1161
8	588	1161
9	675	1161
10	846	1161
11	1079	1161
12	1355	1161
13	1667	1161
14	2028	1161
15	2358	1161
16	2619	1161
17	2768	1161
18	2823	1161
19	2847	1161
20	2851	1161

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 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 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 2 z) 2)) (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))))) 2))) 3) (-.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 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 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 (/.f64 (+.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 2 z) 2)) (*.f64 (neg.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 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 (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 (-.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 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 (-.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 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 (.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 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5)))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (-.f64 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 -883075145810703/5000000000000 (-.f64 4 z)) (+.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))))))
(.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 (sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (PI.f64))) (/.f64 (exp.f64 -15/2) z))

Outputs
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 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 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 2 z) 2)) (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))))) 2))) 3) (-.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 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 (neg.f64 (-.f64 15/2 z))) (exp.f64 (*.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z))))) (+.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 2 z) 2)) (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))))) 2))) 3) (-.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 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 (*.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z))) (exp.f64 (-.f64 z 15/2)))) (+.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 2 z) 2)) (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))))) 2))) 3) (-.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 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 (*.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z))) (exp.f64 (-.f64 z 15/2)))) (+.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 2 z) 2)) (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))))) 2))) 3) (+.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)))))))
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(.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 -883075145810703/5000000000000 (-.f64 4 z)) (+.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))))))
(.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 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 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 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 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 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 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 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)))))
(.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 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)))))
(.f64 (sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (PI.f64))) (/.f64 (exp.f64 -15/2) z))
(.f64 (sqrt.f64 (.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (/.f64 (exp.f64 -15/2) z))

Compiler

Compiled 760 to 631 computations (17% saved)

soundness277.0ms (0.4%)

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 9308 to 8047 computations (13.5% saved)

end325.0ms (0.4%)

Compiler: Compiled 753 to 599 computations (20.5% saved)