Details

analyze1.7s (1.9%)

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)

sample1.2min (81.1%)

Results

1.1min	3901×	body	8192	exit
6.0s	8256×	body	256	valid
90.0ms	91×	body	256	unsamplable
56.0ms	104×	body	256	infinite

Bogosity

preprocess49.0ms (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)

simplify38.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 2

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))))))

eval3.0ms (0%)

Compiler: Compiled 198 to 166 computations (16.2% saved)

prune4.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

0.7b

Counts

3 → 2

Alt Table

Click to see full alt table

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

Status

Error

Program

▶

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))))))

▶

1.7b

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

Compiler

Compiled 199 to 171 computations (14.1% saved)

localize177.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
✓	1.0b	(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))
✓	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
✓	1.1b	(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))

Compiler

Compiled 506 to 386 computations (23.7% saved)

series6.0ms (0%)

Counts

4 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	z	@	inf	(+.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 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
1.0ms	z	@	0	(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
1.0ms	z	@	0	(+.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 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))

rewrite87.0ms (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	55
1	682	55

Stop Event

1×	node limit

Counts

4 → 135

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

Outputs
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-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)))))) (#(struct:change #<rule egg-rr> (2) ((x 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))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 2)) (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (-.f64 3 z) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 3 z) 7713234287776531/10000000000000) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (-.f64 3 z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 1))))))

simplify65.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

457×	`distribute-neg-frac_binary64`
428×	`associate-/r*_binary64`
369×	`fma-neg_binary64`
360×	`fma-def_binary64`
346×	`sub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	98	571
1	265	535
2	739	531
3	2305	531
4	5874	531

Stop Event

1×	node limit

Counts

171 → 177

Calls

Call 1

Inputs
469507597606837/10000000000000
(+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))
(+.f64 (.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 z)))
(+.f64 (.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 (.f64 23912966683069397/40000000000000 (pow.f64 z 3)) (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))))
(/.f64 5826188486005177/10000000000000 z)
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3)))))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 93965933656573373/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))))))
(/.f64 5826188486005177/10000000000000 z)
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3)))))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 93965933656573373/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))))))
646366562873259793/3000000000000000
(+.f64 646366562873259793/3000000000000000 (*.f64 6764801184542762983/90000000000000000 z))
(+.f64 (.f64 139903109899614281171/5400000000000000000 (pow.f64 z 2)) (+.f64 646366562873259793/3000000000000000 (.f64 6764801184542762983/90000000000000000 z)))
(+.f64 (.f64 139903109899614281171/5400000000000000000 (pow.f64 z 2)) (+.f64 646366562873259793/3000000000000000 (+.f64 (.f64 6764801184542762983/90000000000000000 z) (*.f64 2868249125582949494677/324000000000000000000 (pow.f64 z 3)))))
(/.f64 -121443148578839881/200000000000000 z)
(neg.f64 (+.f64 (.f64 66801875443113257/40000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 121443148578839881/200000000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (.f64 66801875443113257/40000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 121443148578839881/200000000000000 (/.f64 1 z)) (*.f64 177150158974872037/40000000000000 (/.f64 1 (pow.f64 z 3))))))
(neg.f64 (+.f64 (.f64 443431544818219937/40000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 66801875443113257/40000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 121443148578839881/200000000000000 (/.f64 1 z)) (.f64 177150158974872037/40000000000000 (/.f64 1 (pow.f64 z 3)))))))
(/.f64 -121443148578839881/200000000000000 z)
(neg.f64 (+.f64 (.f64 66801875443113257/40000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 121443148578839881/200000000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (.f64 66801875443113257/40000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 121443148578839881/200000000000000 (/.f64 1 z)) (*.f64 177150158974872037/40000000000000 (/.f64 1 (pow.f64 z 3))))))
(neg.f64 (+.f64 (.f64 443431544818219937/40000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 66801875443113257/40000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 121443148578839881/200000000000000 (/.f64 1 z)) (.f64 177150158974872037/40000000000000 (/.f64 1 (pow.f64 z 3)))))))
7713234287776531/30000000000000
(+.f64 (*.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000)
(+.f64 (.f64 7713234287776531/90000000000000 z) (+.f64 7713234287776531/30000000000000 (.f64 7713234287776531/270000000000000 (pow.f64 z 2))))
(+.f64 (.f64 7713234287776531/90000000000000 z) (+.f64 7713234287776531/30000000000000 (+.f64 (.f64 7713234287776531/270000000000000 (pow.f64 z 2)) (*.f64 7713234287776531/810000000000000 (pow.f64 z 3)))))
(/.f64 -7713234287776531/10000000000000 z)
(neg.f64 (+.f64 (.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 7713234287776531/10000000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z)))))
(neg.f64 (+.f64 (.f64 208257325769966337/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 7713234287776531/10000000000000 (/.f64 1 z))))))
(/.f64 -7713234287776531/10000000000000 z)
(neg.f64 (+.f64 (.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 7713234287776531/10000000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z)))))
(neg.f64 (+.f64 (.f64 208257325769966337/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 7713234287776531/10000000000000 (/.f64 1 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))
(fma.f64 z (*.f64 z 2076511864126339/4000000000000) (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)))
(fma.f64 z (*.f64 z 2076511864126339/4000000000000) (fma.f64 23912966683069397/40000000000000 (pow.f64 z 3) (fma.f64 904338909853211/2500000000000 z 469507597606837/10000000000000)))
(/.f64 5826188486005177/10000000000000 z)
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (/.f64 5826188486005177/10000000000000 z))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3)))))
(+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3))))
(+.f64 (+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (/.f64 5826188486005177/10000000000000 z)) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 93965933656573373/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))))))
(+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (+.f64 (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3))) (/.f64 93965933656573373/10000000000000 (pow.f64 z 4))))
(+.f64 (/.f64 5826188486005177/10000000000000 z) (+.f64 (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)) (+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (/.f64 93965933656573373/10000000000000 (pow.f64 z 4)))))
(+.f64 (/.f64 3683516130645841/2000000000000 (.f64 z z)) (+.f64 (/.f64 5826188486005177/10000000000000 z) (.f64 (/.f64 1 (pow.f64 z 3)) (+.f64 43600364987677261/10000000000000 (/.f64 93965933656573373/10000000000000 z)))))
(/.f64 5826188486005177/10000000000000 z)
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (/.f64 5826188486005177/10000000000000 z))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3)))))
(+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3))))
(+.f64 (+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (/.f64 5826188486005177/10000000000000 z)) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 93965933656573373/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))))))
(+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (+.f64 (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3))) (/.f64 93965933656573373/10000000000000 (pow.f64 z 4))))
(+.f64 (/.f64 5826188486005177/10000000000000 z) (+.f64 (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)) (+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (/.f64 93965933656573373/10000000000000 (pow.f64 z 4)))))
(+.f64 (/.f64 3683516130645841/2000000000000 (.f64 z z)) (+.f64 (/.f64 5826188486005177/10000000000000 z) (.f64 (/.f64 1 (pow.f64 z 3)) (+.f64 43600364987677261/10000000000000 (/.f64 93965933656573373/10000000000000 z)))))
646366562873259793/3000000000000000
(+.f64 646366562873259793/3000000000000000 (*.f64 6764801184542762983/90000000000000000 z))
(+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000))
(fma.f64 z 6764801184542762983/90000000000000000 646366562873259793/3000000000000000)
(+.f64 (.f64 139903109899614281171/5400000000000000000 (pow.f64 z 2)) (+.f64 646366562873259793/3000000000000000 (.f64 6764801184542762983/90000000000000000 z)))
(fma.f64 139903109899614281171/5400000000000000000 (.f64 z z) (+.f64 646366562873259793/3000000000000000 (.f64 z 6764801184542762983/90000000000000000)))
(fma.f64 (*.f64 z z) 139903109899614281171/5400000000000000000 (fma.f64 z 6764801184542762983/90000000000000000 646366562873259793/3000000000000000))
(fma.f64 z 6764801184542762983/90000000000000000 (fma.f64 z (*.f64 z 139903109899614281171/5400000000000000000) 646366562873259793/3000000000000000))
(fma.f64 z (*.f64 z 139903109899614281171/5400000000000000000) (fma.f64 z 6764801184542762983/90000000000000000 646366562873259793/3000000000000000))
(+.f64 (.f64 139903109899614281171/5400000000000000000 (pow.f64 z 2)) (+.f64 646366562873259793/3000000000000000 (+.f64 (.f64 6764801184542762983/90000000000000000 z) (*.f64 2868249125582949494677/324000000000000000000 (pow.f64 z 3)))))
(fma.f64 139903109899614281171/5400000000000000000 (.f64 z z) (+.f64 646366562873259793/3000000000000000 (fma.f64 6764801184542762983/90000000000000000 z (.f64 (pow.f64 z 3) 2868249125582949494677/324000000000000000000))))
(+.f64 (fma.f64 (.f64 z z) 139903109899614281171/5400000000000000000 (fma.f64 z 6764801184542762983/90000000000000000 646366562873259793/3000000000000000)) (.f64 (pow.f64 z 3) 2868249125582949494677/324000000000000000000))
(fma.f64 z (*.f64 z 139903109899614281171/5400000000000000000) (fma.f64 z 6764801184542762983/90000000000000000 (fma.f64 (pow.f64 z 3) 2868249125582949494677/324000000000000000000 646366562873259793/3000000000000000)))
(/.f64 -121443148578839881/200000000000000 z)
(neg.f64 (+.f64 (.f64 66801875443113257/40000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 121443148578839881/200000000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (/.f64 66801875443113257/40000000000000 (*.f64 z z)) (/.f64 121443148578839881/200000000000000 z)))
(-.f64 (/.f64 -121443148578839881/200000000000000 z) (/.f64 66801875443113257/40000000000000 (*.f64 z z)))
(+.f64 (/.f64 -66801875443113257/40000000000000 (*.f64 z z)) (/.f64 -121443148578839881/200000000000000 z))
(neg.f64 (+.f64 (.f64 66801875443113257/40000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 121443148578839881/200000000000000 (/.f64 1 z)) (*.f64 177150158974872037/40000000000000 (/.f64 1 (pow.f64 z 3))))))
(neg.f64 (+.f64 (/.f64 66801875443113257/40000000000000 (*.f64 z z)) (+.f64 (/.f64 121443148578839881/200000000000000 z) (/.f64 177150158974872037/40000000000000 (pow.f64 z 3)))))
(-.f64 (-.f64 (/.f64 -121443148578839881/200000000000000 z) (/.f64 66801875443113257/40000000000000 (*.f64 z z))) (/.f64 177150158974872037/40000000000000 (pow.f64 z 3)))
(+.f64 (+.f64 (/.f64 -66801875443113257/40000000000000 (*.f64 z z)) (/.f64 -121443148578839881/200000000000000 z)) (/.f64 -177150158974872037/40000000000000 (pow.f64 z 3)))
(+.f64 (/.f64 -121443148578839881/200000000000000 z) (+.f64 (/.f64 -66801875443113257/40000000000000 (*.f64 z z)) (/.f64 -177150158974872037/40000000000000 (pow.f64 z 3))))
(neg.f64 (+.f64 (.f64 443431544818219937/40000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 66801875443113257/40000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 121443148578839881/200000000000000 (/.f64 1 z)) (.f64 177150158974872037/40000000000000 (/.f64 1 (pow.f64 z 3)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 66801875443113257/40000000000000 (*.f64 z z)) (+.f64 (/.f64 121443148578839881/200000000000000 z) (/.f64 177150158974872037/40000000000000 (pow.f64 z 3)))) (/.f64 443431544818219937/40000000000000 (pow.f64 z 4))))
(+.f64 (-.f64 (-.f64 (/.f64 -121443148578839881/200000000000000 z) (/.f64 66801875443113257/40000000000000 (*.f64 z z))) (/.f64 177150158974872037/40000000000000 (pow.f64 z 3))) (/.f64 -443431544818219937/40000000000000 (pow.f64 z 4)))
(+.f64 (+.f64 (/.f64 -66801875443113257/40000000000000 (*.f64 z z)) (/.f64 -121443148578839881/200000000000000 z)) (-.f64 (/.f64 -177150158974872037/40000000000000 (pow.f64 z 3)) (/.f64 443431544818219937/40000000000000 (pow.f64 z 4))))
(+.f64 (/.f64 -66801875443113257/40000000000000 (*.f64 z z)) (+.f64 (/.f64 -121443148578839881/200000000000000 z) (-.f64 (/.f64 -177150158974872037/40000000000000 (pow.f64 z 3)) (/.f64 443431544818219937/40000000000000 (pow.f64 z 4)))))
(/.f64 -121443148578839881/200000000000000 z)
(neg.f64 (+.f64 (.f64 66801875443113257/40000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 121443148578839881/200000000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (/.f64 66801875443113257/40000000000000 (*.f64 z z)) (/.f64 121443148578839881/200000000000000 z)))
(-.f64 (/.f64 -121443148578839881/200000000000000 z) (/.f64 66801875443113257/40000000000000 (*.f64 z z)))
(+.f64 (/.f64 -66801875443113257/40000000000000 (*.f64 z z)) (/.f64 -121443148578839881/200000000000000 z))
(neg.f64 (+.f64 (.f64 66801875443113257/40000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 121443148578839881/200000000000000 (/.f64 1 z)) (*.f64 177150158974872037/40000000000000 (/.f64 1 (pow.f64 z 3))))))
(neg.f64 (+.f64 (/.f64 66801875443113257/40000000000000 (*.f64 z z)) (+.f64 (/.f64 121443148578839881/200000000000000 z) (/.f64 177150158974872037/40000000000000 (pow.f64 z 3)))))
(-.f64 (-.f64 (/.f64 -121443148578839881/200000000000000 z) (/.f64 66801875443113257/40000000000000 (*.f64 z z))) (/.f64 177150158974872037/40000000000000 (pow.f64 z 3)))
(+.f64 (+.f64 (/.f64 -66801875443113257/40000000000000 (*.f64 z z)) (/.f64 -121443148578839881/200000000000000 z)) (/.f64 -177150158974872037/40000000000000 (pow.f64 z 3)))
(+.f64 (/.f64 -121443148578839881/200000000000000 z) (+.f64 (/.f64 -66801875443113257/40000000000000 (*.f64 z z)) (/.f64 -177150158974872037/40000000000000 (pow.f64 z 3))))
(neg.f64 (+.f64 (.f64 443431544818219937/40000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 66801875443113257/40000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 121443148578839881/200000000000000 (/.f64 1 z)) (.f64 177150158974872037/40000000000000 (/.f64 1 (pow.f64 z 3)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 66801875443113257/40000000000000 (*.f64 z z)) (+.f64 (/.f64 121443148578839881/200000000000000 z) (/.f64 177150158974872037/40000000000000 (pow.f64 z 3)))) (/.f64 443431544818219937/40000000000000 (pow.f64 z 4))))
(+.f64 (-.f64 (-.f64 (/.f64 -121443148578839881/200000000000000 z) (/.f64 66801875443113257/40000000000000 (*.f64 z z))) (/.f64 177150158974872037/40000000000000 (pow.f64 z 3))) (/.f64 -443431544818219937/40000000000000 (pow.f64 z 4)))
(+.f64 (+.f64 (/.f64 -66801875443113257/40000000000000 (*.f64 z z)) (/.f64 -121443148578839881/200000000000000 z)) (-.f64 (/.f64 -177150158974872037/40000000000000 (pow.f64 z 3)) (/.f64 443431544818219937/40000000000000 (pow.f64 z 4))))
(+.f64 (/.f64 -66801875443113257/40000000000000 (*.f64 z z)) (+.f64 (/.f64 -121443148578839881/200000000000000 z) (-.f64 (/.f64 -177150158974872037/40000000000000 (pow.f64 z 3)) (/.f64 443431544818219937/40000000000000 (pow.f64 z 4)))))
7713234287776531/30000000000000
(+.f64 (*.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000)
(fma.f64 7713234287776531/90000000000000 z 7713234287776531/30000000000000)
(fma.f64 z 7713234287776531/90000000000000 7713234287776531/30000000000000)
(+.f64 (.f64 7713234287776531/90000000000000 z) (+.f64 7713234287776531/30000000000000 (.f64 7713234287776531/270000000000000 (pow.f64 z 2))))
(+.f64 (fma.f64 7713234287776531/90000000000000 z 7713234287776531/30000000000000) (.f64 (.f64 z z) 7713234287776531/270000000000000))
(fma.f64 z 7713234287776531/90000000000000 (fma.f64 (*.f64 z z) 7713234287776531/270000000000000 7713234287776531/30000000000000))
(fma.f64 z (*.f64 z 7713234287776531/270000000000000) (fma.f64 z 7713234287776531/90000000000000 7713234287776531/30000000000000))
(+.f64 (.f64 7713234287776531/90000000000000 z) (+.f64 7713234287776531/30000000000000 (+.f64 (.f64 7713234287776531/270000000000000 (pow.f64 z 2)) (*.f64 7713234287776531/810000000000000 (pow.f64 z 3)))))
(+.f64 (fma.f64 7713234287776531/90000000000000 z 7713234287776531/30000000000000) (fma.f64 7713234287776531/270000000000000 (.f64 z z) (.f64 (pow.f64 z 3) 7713234287776531/810000000000000)))
(+.f64 (fma.f64 z 7713234287776531/90000000000000 7713234287776531/30000000000000) (fma.f64 (.f64 z z) 7713234287776531/270000000000000 (.f64 (pow.f64 z 3) 7713234287776531/810000000000000)))
(fma.f64 z 7713234287776531/90000000000000 (fma.f64 z (*.f64 z 7713234287776531/270000000000000) (fma.f64 (pow.f64 z 3) 7713234287776531/810000000000000 7713234287776531/30000000000000)))
(/.f64 -7713234287776531/10000000000000 z)
(neg.f64 (+.f64 (.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 7713234287776531/10000000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (/.f64 23139702863329593/10000000000000 (*.f64 z z)) (/.f64 7713234287776531/10000000000000 z)))
(+.f64 (/.f64 -23139702863329593/10000000000000 (*.f64 z z)) (/.f64 -7713234287776531/10000000000000 z))
(neg.f64 (+.f64 (.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z)))))
(neg.f64 (+.f64 (/.f64 23139702863329593/10000000000000 (*.f64 z z)) (+.f64 (/.f64 7713234287776531/10000000000000 z) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3)))))
(-.f64 (/.f64 -23139702863329593/10000000000000 (*.f64 z z)) (+.f64 (/.f64 7713234287776531/10000000000000 z) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3))))
(+.f64 (+.f64 (/.f64 -23139702863329593/10000000000000 (*.f64 z z)) (/.f64 -7713234287776531/10000000000000 z)) (/.f64 -69419108589988779/10000000000000 (pow.f64 z 3)))
(neg.f64 (+.f64 (.f64 208257325769966337/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 7713234287776531/10000000000000 (/.f64 1 z))))))
(neg.f64 (+.f64 (/.f64 208257325769966337/10000000000000 (pow.f64 z 4)) (+.f64 (+.f64 (/.f64 23139702863329593/10000000000000 (*.f64 z z)) (/.f64 7713234287776531/10000000000000 z)) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3)))))
(+.f64 (/.f64 -208257325769966337/10000000000000 (pow.f64 z 4)) (-.f64 (/.f64 -23139702863329593/10000000000000 (*.f64 z z)) (+.f64 (/.f64 7713234287776531/10000000000000 z) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3)))))
(+.f64 (+.f64 (/.f64 -23139702863329593/10000000000000 (*.f64 z z)) (/.f64 -7713234287776531/10000000000000 z)) (+.f64 (/.f64 -208257325769966337/10000000000000 (pow.f64 z 4)) (/.f64 -69419108589988779/10000000000000 (pow.f64 z 3))))
(-.f64 (/.f64 -208257325769966337/10000000000000 (pow.f64 z 4)) (-.f64 (/.f64 69419108589988779/10000000000000 (pow.f64 z 3)) (+.f64 (/.f64 -23139702863329593/10000000000000 (*.f64 z z)) (/.f64 -7713234287776531/10000000000000 z))))
(-.f64 (+.f64 (/.f64 -23139702863329593/10000000000000 (.f64 z z)) (/.f64 -7713234287776531/10000000000000 z)) (.f64 (/.f64 1 (pow.f64 z 3)) (-.f64 (/.f64 208257325769966337/10000000000000 z) -69419108589988779/10000000000000)))
(/.f64 -7713234287776531/10000000000000 z)
(neg.f64 (+.f64 (.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 7713234287776531/10000000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (/.f64 23139702863329593/10000000000000 (*.f64 z z)) (/.f64 7713234287776531/10000000000000 z)))
(+.f64 (/.f64 -23139702863329593/10000000000000 (*.f64 z z)) (/.f64 -7713234287776531/10000000000000 z))
(neg.f64 (+.f64 (.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z)))))
(neg.f64 (+.f64 (/.f64 23139702863329593/10000000000000 (*.f64 z z)) (+.f64 (/.f64 7713234287776531/10000000000000 z) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3)))))
(-.f64 (/.f64 -23139702863329593/10000000000000 (*.f64 z z)) (+.f64 (/.f64 7713234287776531/10000000000000 z) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3))))
(+.f64 (+.f64 (/.f64 -23139702863329593/10000000000000 (*.f64 z z)) (/.f64 -7713234287776531/10000000000000 z)) (/.f64 -69419108589988779/10000000000000 (pow.f64 z 3)))
(neg.f64 (+.f64 (.f64 208257325769966337/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 7713234287776531/10000000000000 (/.f64 1 z))))))
(neg.f64 (+.f64 (/.f64 208257325769966337/10000000000000 (pow.f64 z 4)) (+.f64 (+.f64 (/.f64 23139702863329593/10000000000000 (*.f64 z z)) (/.f64 7713234287776531/10000000000000 z)) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3)))))
(+.f64 (/.f64 -208257325769966337/10000000000000 (pow.f64 z 4)) (-.f64 (/.f64 -23139702863329593/10000000000000 (*.f64 z z)) (+.f64 (/.f64 7713234287776531/10000000000000 z) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3)))))
(+.f64 (+.f64 (/.f64 -23139702863329593/10000000000000 (*.f64 z z)) (/.f64 -7713234287776531/10000000000000 z)) (+.f64 (/.f64 -208257325769966337/10000000000000 (pow.f64 z 4)) (/.f64 -69419108589988779/10000000000000 (pow.f64 z 3))))
(-.f64 (/.f64 -208257325769966337/10000000000000 (pow.f64 z 4)) (-.f64 (/.f64 69419108589988779/10000000000000 (pow.f64 z 3)) (+.f64 (/.f64 -23139702863329593/10000000000000 (*.f64 z z)) (/.f64 -7713234287776531/10000000000000 z))))
(-.f64 (+.f64 (/.f64 -23139702863329593/10000000000000 (.f64 z z)) (/.f64 -7713234287776531/10000000000000 z)) (.f64 (/.f64 1 (pow.f64 z 3)) (-.f64 (/.f64 208257325769966337/10000000000000 z) -69419108589988779/10000000000000)))

localize290.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
✓	2.7b	(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2)))
✓	5.5b	(-.f64 (-.f64 1 z) 1)

Compiler

Compiled 894 to 784 computations (12.3% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite106.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

385×	`expm1-udef_binary64`
385×	`log1p-udef_binary64`
242×	`add-sqr-sqrt_binary64`
230×	`add-cbrt-cube_binary64`
230×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	42
1	478	33
2	6921	33

Stop Event

1×	node limit

Counts

3 → 121

Calls

Call 1

Inputs
(-.f64 (-.f64 1 z) 1)
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2)))
(/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))

Inputs

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

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

(/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))

Outputs
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Outputs

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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 7713234287776531/10000000000000 (/.f64 1 (+.f64 (neg.f64 z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))) (cbrt.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (+.f64 (neg.f64 z) 3) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (+.f64 (neg.f64 z) 3) 2))) (cbrt.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))) (sqrt.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -7713234287776531/10000000000000 (/.f64 1 (+.f64 -3 (neg.f64 (neg.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (neg.f64 z) 3)) 7713234287776531/10000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 7713234287776531/10000000000000 (+.f64 27 (pow.f64 (neg.f64 z) 3))) (-.f64 (+.f64 (pow.f64 (neg.f64 z) 2) 9) (*.f64 (neg.f64 z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (pow.f64 (neg.f64 z) 2) -9)) (+.f64 (neg.f64 z) -3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 (neg.f64 z) 3) 10000000000000/7713234287776531) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (+.f64 (neg.f64 z) 3) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))) 1))))))

simplify54.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

844×	`fma-neg_binary64`
711×	`times-frac_binary64`
647×	`fma-def_binary64`
457×	`associate-/l/_binary64`
401×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	69	370
1	181	350
2	478	348
3	1425	336
4	3987	336

Stop Event

1×	node limit

Counts

157 → 149

Calls

Call 1

Inputs
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
479507597606835099/10000000000000000
(+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z))
(+.f64 (.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 479507597606835099/10000000000000000 (.f64 904338909853211/2500000000000 z)))
(+.f64 (.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 (.f64 23912966683069397/40000000000000 (pow.f64 z 3)) (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z))))
9999999999998099/10000000000000000
(+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (.f64 5826188486005177/10000000000000 (/.f64 1 z))))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))))))
9999999999998099/10000000000000000
(+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (.f64 5826188486005177/10000000000000 (/.f64 1 z))))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))))))
7713234287776531/30000000000000
(+.f64 (*.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000)
(+.f64 (.f64 7713234287776531/90000000000000 z) (+.f64 7713234287776531/30000000000000 (.f64 7713234287776531/270000000000000 (pow.f64 z 2))))
(+.f64 (.f64 7713234287776531/90000000000000 z) (+.f64 7713234287776531/30000000000000 (+.f64 (.f64 7713234287776531/270000000000000 (pow.f64 z 2)) (*.f64 7713234287776531/810000000000000 (pow.f64 z 3)))))
(/.f64 -7713234287776531/10000000000000 z)
(neg.f64 (+.f64 (.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 7713234287776531/10000000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z)))))
(neg.f64 (+.f64 (.f64 208257325769966337/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 7713234287776531/10000000000000 (/.f64 1 z))))))
(/.f64 -7713234287776531/10000000000000 z)
(neg.f64 (+.f64 (.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 7713234287776531/10000000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z)))))
(neg.f64 (+.f64 (.f64 208257325769966337/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 7713234287776531/10000000000000 (/.f64 1 z))))))

Outputs
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
479507597606835099/10000000000000000
(+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z))
(+.f64 479507597606835099/10000000000000000 (*.f64 z 904338909853211/2500000000000))
(fma.f64 z 904338909853211/2500000000000 479507597606835099/10000000000000000)
(+.f64 (.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 479507597606835099/10000000000000000 (.f64 904338909853211/2500000000000 z)))
(fma.f64 2076511864126339/4000000000000 (.f64 z z) (+.f64 479507597606835099/10000000000000000 (.f64 z 904338909853211/2500000000000)))
(fma.f64 2076511864126339/4000000000000 (*.f64 z z) (fma.f64 z 904338909853211/2500000000000 479507597606835099/10000000000000000))
(fma.f64 z (*.f64 z 2076511864126339/4000000000000) (fma.f64 z 904338909853211/2500000000000 479507597606835099/10000000000000000))
(fma.f64 z (fma.f64 z 2076511864126339/4000000000000 904338909853211/2500000000000) 479507597606835099/10000000000000000)
(+.f64 (.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 (.f64 23912966683069397/40000000000000 (pow.f64 z 3)) (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z))))
(fma.f64 2076511864126339/4000000000000 (.f64 z z) (fma.f64 23912966683069397/40000000000000 (pow.f64 z 3) (+.f64 479507597606835099/10000000000000000 (.f64 z 904338909853211/2500000000000))))
(fma.f64 2076511864126339/4000000000000 (*.f64 z z) (fma.f64 23912966683069397/40000000000000 (pow.f64 z 3) (fma.f64 z 904338909853211/2500000000000 479507597606835099/10000000000000000)))
(fma.f64 z (*.f64 z 2076511864126339/4000000000000) (fma.f64 23912966683069397/40000000000000 (pow.f64 z 3) (fma.f64 z 904338909853211/2500000000000 479507597606835099/10000000000000000)))
(fma.f64 z (fma.f64 z 2076511864126339/4000000000000 904338909853211/2500000000000) (fma.f64 23912966683069397/40000000000000 (pow.f64 z 3) 479507597606835099/10000000000000000))
9999999999998099/10000000000000000
(+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(+.f64 9999999999998099/10000000000000000 (/.f64 5826188486005177/10000000000000 z))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (.f64 5826188486005177/10000000000000 (/.f64 1 z))))
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 5826188486005177/10000000000000 z)) (/.f64 3683516130645841/2000000000000 (*.f64 z z)))
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(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 3683516130645841/2000000000000 (*.f64 z z))))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))))))
(+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)))))
(+.f64 (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3))) (+.f64 9999999999998099/10000000000000000 (/.f64 (/.f64 3683516130645841/2000000000000 z) z)))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 5826188486005177/10000000000000 z) (+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)))))
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 43600364987677261/10000000000000 (pow.f64 z 3))) (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 3683516130645841/2000000000000 (*.f64 z z))))
9999999999998099/10000000000000000
(+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(+.f64 9999999999998099/10000000000000000 (/.f64 5826188486005177/10000000000000 z))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (.f64 5826188486005177/10000000000000 (/.f64 1 z))))
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(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 (/.f64 3683516130645841/2000000000000 z) z)))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 3683516130645841/2000000000000 (*.f64 z z))))
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(+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)))))
(+.f64 (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3))) (+.f64 9999999999998099/10000000000000000 (/.f64 (/.f64 3683516130645841/2000000000000 z) z)))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 5826188486005177/10000000000000 z) (+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)))))
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 43600364987677261/10000000000000 (pow.f64 z 3))) (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 3683516130645841/2000000000000 (*.f64 z z))))
7713234287776531/30000000000000
(+.f64 (*.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000)
(fma.f64 7713234287776531/90000000000000 z 7713234287776531/30000000000000)
(fma.f64 z 7713234287776531/90000000000000 7713234287776531/30000000000000)
(+.f64 (.f64 7713234287776531/90000000000000 z) (+.f64 7713234287776531/30000000000000 (.f64 7713234287776531/270000000000000 (pow.f64 z 2))))
(+.f64 (fma.f64 7713234287776531/90000000000000 z 7713234287776531/30000000000000) (.f64 (.f64 z z) 7713234287776531/270000000000000))
(fma.f64 z 7713234287776531/90000000000000 (fma.f64 (*.f64 z z) 7713234287776531/270000000000000 7713234287776531/30000000000000))
(fma.f64 z (fma.f64 z 7713234287776531/270000000000000 7713234287776531/90000000000000) 7713234287776531/30000000000000)
(+.f64 (.f64 7713234287776531/90000000000000 z) (+.f64 7713234287776531/30000000000000 (+.f64 (.f64 7713234287776531/270000000000000 (pow.f64 z 2)) (*.f64 7713234287776531/810000000000000 (pow.f64 z 3)))))
(+.f64 (fma.f64 7713234287776531/90000000000000 z 7713234287776531/30000000000000) (fma.f64 7713234287776531/270000000000000 (.f64 z z) (.f64 (pow.f64 z 3) 7713234287776531/810000000000000)))
(+.f64 (fma.f64 z 7713234287776531/90000000000000 7713234287776531/30000000000000) (fma.f64 (.f64 z z) 7713234287776531/270000000000000 (.f64 (pow.f64 z 3) 7713234287776531/810000000000000)))
(fma.f64 z 7713234287776531/90000000000000 (fma.f64 (pow.f64 z 3) 7713234287776531/810000000000000 (fma.f64 (*.f64 z z) 7713234287776531/270000000000000 7713234287776531/30000000000000)))
(fma.f64 z 7713234287776531/90000000000000 (fma.f64 (*.f64 z z) (fma.f64 z 7713234287776531/810000000000000 7713234287776531/270000000000000) 7713234287776531/30000000000000))
(/.f64 -7713234287776531/10000000000000 z)
(neg.f64 (+.f64 (.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 7713234287776531/10000000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (/.f64 23139702863329593/10000000000000 (*.f64 z z)) (/.f64 7713234287776531/10000000000000 z)))
(+.f64 (/.f64 -23139702863329593/10000000000000 (*.f64 z z)) (/.f64 -7713234287776531/10000000000000 z))
(+.f64 (/.f64 (/.f64 -23139702863329593/10000000000000 z) z) (/.f64 -7713234287776531/10000000000000 z))
(neg.f64 (+.f64 (.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z)))))
(neg.f64 (+.f64 (/.f64 23139702863329593/10000000000000 (*.f64 z z)) (+.f64 (/.f64 7713234287776531/10000000000000 z) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3)))))
(-.f64 (/.f64 -23139702863329593/10000000000000 (*.f64 z z)) (+.f64 (/.f64 7713234287776531/10000000000000 z) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3))))
(+.f64 (+.f64 (/.f64 -23139702863329593/10000000000000 (*.f64 z z)) (/.f64 -7713234287776531/10000000000000 z)) (/.f64 -69419108589988779/10000000000000 (pow.f64 z 3)))
(+.f64 (/.f64 (/.f64 -23139702863329593/10000000000000 z) z) (-.f64 (/.f64 -7713234287776531/10000000000000 z) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3))))
(neg.f64 (+.f64 (.f64 208257325769966337/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 7713234287776531/10000000000000 (/.f64 1 z))))))
(neg.f64 (+.f64 (+.f64 (/.f64 208257325769966337/10000000000000 (pow.f64 z 4)) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3))) (+.f64 (/.f64 23139702863329593/10000000000000 (*.f64 z z)) (/.f64 7713234287776531/10000000000000 z))))
(+.f64 (/.f64 -208257325769966337/10000000000000 (pow.f64 z 4)) (-.f64 (/.f64 -23139702863329593/10000000000000 (*.f64 z z)) (+.f64 (/.f64 7713234287776531/10000000000000 z) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3)))))
(+.f64 (/.f64 -208257325769966337/10000000000000 (pow.f64 z 4)) (+.f64 (+.f64 (/.f64 -23139702863329593/10000000000000 (*.f64 z z)) (/.f64 -7713234287776531/10000000000000 z)) (/.f64 -69419108589988779/10000000000000 (pow.f64 z 3))))
(+.f64 (+.f64 (/.f64 (/.f64 -23139702863329593/10000000000000 z) z) (/.f64 -7713234287776531/10000000000000 z)) (+.f64 (/.f64 -208257325769966337/10000000000000 (pow.f64 z 4)) (/.f64 -69419108589988779/10000000000000 (pow.f64 z 3))))
(+.f64 (+.f64 (/.f64 (/.f64 -23139702863329593/10000000000000 z) z) (/.f64 -7713234287776531/10000000000000 z)) (*.f64 (/.f64 1 (pow.f64 z 3)) (-.f64 (/.f64 -208257325769966337/10000000000000 z) 69419108589988779/10000000000000)))
(/.f64 -7713234287776531/10000000000000 z)
(neg.f64 (+.f64 (.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 7713234287776531/10000000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (/.f64 23139702863329593/10000000000000 (*.f64 z z)) (/.f64 7713234287776531/10000000000000 z)))
(+.f64 (/.f64 -23139702863329593/10000000000000 (*.f64 z z)) (/.f64 -7713234287776531/10000000000000 z))
(+.f64 (/.f64 (/.f64 -23139702863329593/10000000000000 z) z) (/.f64 -7713234287776531/10000000000000 z))
(neg.f64 (+.f64 (.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z)))))
(neg.f64 (+.f64 (/.f64 23139702863329593/10000000000000 (*.f64 z z)) (+.f64 (/.f64 7713234287776531/10000000000000 z) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3)))))
(-.f64 (/.f64 -23139702863329593/10000000000000 (*.f64 z z)) (+.f64 (/.f64 7713234287776531/10000000000000 z) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3))))
(+.f64 (+.f64 (/.f64 -23139702863329593/10000000000000 (*.f64 z z)) (/.f64 -7713234287776531/10000000000000 z)) (/.f64 -69419108589988779/10000000000000 (pow.f64 z 3)))
(+.f64 (/.f64 (/.f64 -23139702863329593/10000000000000 z) z) (-.f64 (/.f64 -7713234287776531/10000000000000 z) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3))))
(neg.f64 (+.f64 (.f64 208257325769966337/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 7713234287776531/10000000000000 (/.f64 1 z))))))
(neg.f64 (+.f64 (+.f64 (/.f64 208257325769966337/10000000000000 (pow.f64 z 4)) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3))) (+.f64 (/.f64 23139702863329593/10000000000000 (*.f64 z z)) (/.f64 7713234287776531/10000000000000 z))))
(+.f64 (/.f64 -208257325769966337/10000000000000 (pow.f64 z 4)) (-.f64 (/.f64 -23139702863329593/10000000000000 (*.f64 z z)) (+.f64 (/.f64 7713234287776531/10000000000000 z) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3)))))
(+.f64 (/.f64 -208257325769966337/10000000000000 (pow.f64 z 4)) (+.f64 (+.f64 (/.f64 -23139702863329593/10000000000000 (*.f64 z z)) (/.f64 -7713234287776531/10000000000000 z)) (/.f64 -69419108589988779/10000000000000 (pow.f64 z 3))))
(+.f64 (+.f64 (/.f64 (/.f64 -23139702863329593/10000000000000 z) z) (/.f64 -7713234287776531/10000000000000 z)) (+.f64 (/.f64 -208257325769966337/10000000000000 (pow.f64 z 4)) (/.f64 -69419108589988779/10000000000000 (pow.f64 z 3))))
(+.f64 (+.f64 (/.f64 (/.f64 -23139702863329593/10000000000000 z) z) (/.f64 -7713234287776531/10000000000000 z)) (*.f64 (/.f64 1 (pow.f64 z 3)) (-.f64 (/.f64 -208257325769966337/10000000000000 z) 69419108589988779/10000000000000)))

eval1.6s (1.8%)

Compiler: Compiled 96482 to 80061 computations (17% saved)

prune211.0ms (0.2%)

Pruning

31 alts after pruning (30 fresh and 1 done)

	Pruned	Kept	Total
New	789	30	819
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	790	31	821

Error

0.1b

Counts

821 → 31

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.8b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (.f64 7713234287776531/10000000000000 (/.f64 1 (-.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))))))
	34.8b	(.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 (exp.f64 (log.f64 (neg.f64 z))) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
	1.7b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (log.f64 (exp.f64 (neg.f64 z))) 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)))))
	2.5b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 z))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
	0.8b	(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 2 (PI.f64))) 2)) (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 10000000000000/6765203681218851 (/.f64 z 6765203681218851/10000000000000)) (.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) 1)) (.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) (-.f64 10000000000000/6765203681218851 (/.f64 z 6765203681218851/10000000000000))))) (+.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))))))
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	1.7b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2))) 1) (/.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)))))
	2.8b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 7713234287776531/30000000000000 (+.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))))))
	1.7b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (+.f64 1 (+.f64 (neg.f64 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)))))
	62.4b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3683516130645841/2000000000000 (.f64 z z)) (/.f64 5826188486005177/10000000000000 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 5821 to 4941 computations (15.1% saved)

localize201.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 589 to 453 computations (23.1% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

(+.f64 (-.f64 1 z) (*.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) 6765203681218851/10000000000000))

1.0ms

inf

(+.f64 (-.f64 1 z) (*.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) 6765203681218851/10000000000000))

0.0ms

-inf

(+.f64 (-.f64 1 z) (*.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) 6765203681218851/10000000000000))

rewrite76.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

518×	`log-prod_binary64`
427×	`fma-def_binary64`
322×	`pow2_binary64`
309×	`pow-prod-down_binary64`
221×	`expm1-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	16
1	256	14
2	3451	12

Stop Event

1×	node limit

Counts

1 → 60

Calls

Call 1

Inputs
(+.f64 (-.f64 1 z) (*.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) 6765203681218851/10000000000000))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (+.f64 z (*.f64 -6765203681218851/10000000000000 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 (fma.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 6765203681218851/10000000000000 1) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (-.f64 1 z) 2) (+.f64 (-.f64 1 z) (*.f64 -6765203681218851/10000000000000 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007)))) (/.f64 (*.f64 (pow.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 2) 45767980848377092942628957760201/100000000000000000000000000) (+.f64 (-.f64 1 z) (*.f64 -6765203681218851/10000000000000 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 6765203681218851/10000000000000 1) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (fma.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 6765203681218851/10000000000000 1) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (fma.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 6765203681218851/10000000000000 1) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (fma.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 6765203681218851/10000000000000 1) z)) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 6765203681218851/10000000000000 1) z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 6765203681218851/10000000000000 1) z)) 2) (cbrt.f64 (-.f64 (fma.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 6765203681218851/10000000000000 1) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (fma.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 6765203681218851/10000000000000 1) z)) (sqrt.f64 (-.f64 (fma.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 6765203681218851/10000000000000 1) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 3) 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 (-.f64 1 z) 3)) (/.f64 1 (fma.f64 (*.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 6765203681218851/10000000000000) (-.f64 (*.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 6765203681218851/10000000000000) (-.f64 1 z)) (pow.f64 (-.f64 1 z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (-.f64 1 z) 2) (*.f64 (pow.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 2) 45767980848377092942628957760201/100000000000000000000000000)) (/.f64 1 (+.f64 (-.f64 1 z) (*.f64 -6765203681218851/10000000000000 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 6765203681218851/10000000000000) (-.f64 (*.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 6765203681218851/10000000000000) (-.f64 1 z)) (pow.f64 (-.f64 1 z) 2)) (fma.f64 (pow.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 3) 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 (-.f64 1 z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (-.f64 1 z) (*.f64 -6765203681218851/10000000000000 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007))) (-.f64 (pow.f64 (-.f64 1 z) 2) (*.f64 (pow.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 2) 45767980848377092942628957760201/100000000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 3) 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 (-.f64 1 z) 3)) (fma.f64 (*.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 6765203681218851/10000000000000) (-.f64 (*.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 6765203681218851/10000000000000) (-.f64 1 z)) (pow.f64 (-.f64 1 z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 3) 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 (-.f64 1 z) 3)) (fma.f64 (pow.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 2) 45767980848377092942628957760201/100000000000000000000000000 (-.f64 (pow.f64 (-.f64 1 z) 2) (*.f64 (*.f64 (-.f64 1 z) 6765203681218851/10000000000000) (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (-.f64 1 z) 2) (*.f64 (pow.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 2) 45767980848377092942628957760201/100000000000000000000000000)) (+.f64 (-.f64 1 z) (*.f64 -6765203681218851/10000000000000 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 3) 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 (-.f64 1 z) 3))) (neg.f64 (fma.f64 (*.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 6765203681218851/10000000000000) (-.f64 (*.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 6765203681218851/10000000000000) (-.f64 1 z)) (pow.f64 (-.f64 1 z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 1 z) 2) (*.f64 (pow.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 2) 45767980848377092942628957760201/100000000000000000000000000))) (neg.f64 (+.f64 (-.f64 1 z) (*.f64 -6765203681218851/10000000000000 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (+.f64 z (*.f64 -6765203681218851/10000000000000 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007))) 3)) (+.f64 1 (+.f64 (pow.f64 (+.f64 z (*.f64 -6765203681218851/10000000000000 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007))) 2) (+.f64 z (*.f64 -6765203681218851/10000000000000 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (+.f64 z (*.f64 -6765203681218851/10000000000000 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007))) 2)) (+.f64 1 (+.f64 z (*.f64 -6765203681218851/10000000000000 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 2) 45767980848377092942628957760201/100000000000000000000000000 (neg.f64 (pow.f64 (-.f64 1 z) 2))) (-.f64 (*.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 6765203681218851/10000000000000) (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (fma.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 6765203681218851/10000000000000 1) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (fma.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 6765203681218851/10000000000000 1) z) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (fma.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 6765203681218851/10000000000000 1) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (fma.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 6765203681218851/10000000000000 1) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (fma.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 6765203681218851/10000000000000 1) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 6765203681218851/10000000000000) (-.f64 (*.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 6765203681218851/10000000000000) (-.f64 1 z)) (pow.f64 (-.f64 1 z) 2)) (fma.f64 (pow.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 3) 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 (-.f64 1 z) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (-.f64 1 z) (*.f64 -6765203681218851/10000000000000 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007))) (-.f64 (pow.f64 (-.f64 1 z) 2) (*.f64 (pow.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 2) 45767980848377092942628957760201/100000000000000000000000000))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (fma.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 6765203681218851/10000000000000 1) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (fma.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 6765203681218851/10000000000000 1) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 6765203681218851/10000000000000 1) z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 1 z))) (pow.f64 (exp.f64 6765203681218851/10000000000000) (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (-.f64 1 z)) (+.f64 1 (expm1.f64 (*.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 6765203681218851/10000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 1 z))) (+.f64 1 (expm1.f64 (*.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 6765203681218851/10000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 6765203681218851/10000000000000))) (exp.f64 (-.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 6765203681218851/10000000000000) (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007)) (+.f64 1 (expm1.f64 (-.f64 1 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 6765203681218851/10000000000000))) (+.f64 1 (expm1.f64 (-.f64 1 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (fma.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 6765203681218851/10000000000000 1) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (fma.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 6765203681218851/10000000000000 1) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (fma.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 6765203681218851/10000000000000 1) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (fma.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 6765203681218851/10000000000000 1) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 6765203681218851/10000000000000 1) z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 1 z) (*.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 6765203681218851/10000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 6765203681218851/10000000000000) (-.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 z) 1 (*.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 6765203681218851/10000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 6765203681218851/10000000000000 (-.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 6765203681218851/10000000000000 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) (-.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 6765203681218851/10000000000000) 1 (-.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007)) 2) (*.f64 (cbrt.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007)) 6765203681218851/10000000000000) (-.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 6765203681218851/10000000000000)) (pow.f64 (cbrt.f64 (*.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 6765203681218851/10000000000000)) 2) (-.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 6765203681218851/10000000000000)) 2) (cbrt.f64 (*.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 6765203681218851/10000000000000)) (-.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 1 z)) (pow.f64 (cbrt.f64 (-.f64 1 z)) 2) (*.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 6765203681218851/10000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 z)) 2) (cbrt.f64 (-.f64 1 z)) (*.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 6765203681218851/10000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007)) (*.f64 (sqrt.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007)) 6765203681218851/10000000000000) (-.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 6765203681218851/10000000000000)) (sqrt.f64 (*.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 6765203681218851/10000000000000)) (-.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 1 z)) (sqrt.f64 (-.f64 1 z)) (*.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 6765203681218851/10000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 z 3)) (/.f64 1 (+.f64 1 (fma.f64 z z z))) (*.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 6765203681218851/10000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (*.f64 z z)) (/.f64 1 (+.f64 1 z)) (*.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 6765203681218851/10000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 6765203681218851/10000000000000 (pow.f64 (cbrt.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007)) 2)) (cbrt.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007)) (-.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 6765203681218851/10000000000000 (sqrt.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007))) (sqrt.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007)) (-.f64 1 z))))))

simplify10.0ms (0%)

Algorithm

1×	egg-herbie

Rules

2×	`fma-neg_binary64`
1×	`+-commutative_binary64`
1×	`*-commutative_binary64`
1×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	54
1	11	54
2	13	54

Stop Event

1×

saturated

Counts

72 → 64

Calls

Call 1

Inputs
-469507597606837/6295696083612014
(-.f64 (*.f64 -5826188486005177/12591392167224028 z) 469507597606837/6295696083612014)
(-.f64 (*.f64 -5826188486005177/12591392167224028 z) 469507597606837/6295696083612014)
(-.f64 (*.f64 -5826188486005177/12591392167224028 z) 469507597606837/6295696083612014)
(*.f64 -5826188486005177/12591392167224028 z)
(-.f64 (*.f64 -5826188486005177/12591392167224028 z) 469507597606837/6295696083612014)
(-.f64 (*.f64 -5826188486005177/12591392167224028 z) 469507597606837/6295696083612014)
(-.f64 (*.f64 -5826188486005177/12591392167224028 z) 469507597606837/6295696083612014)
(*.f64 -5826188486005177/12591392167224028 z)
(-.f64 (*.f64 -5826188486005177/12591392167224028 z) 469507597606837/6295696083612014)
(-.f64 (*.f64 -5826188486005177/12591392167224028 z) 469507597606837/6295696083612014)
(-.f64 (*.f64 -5826188486005177/12591392167224028 z) 469507597606837/6295696083612014)

Outputs
-469507597606837/6295696083612014
(-.f64 (*.f64 -5826188486005177/12591392167224028 z) 469507597606837/6295696083612014)
(fma.f64 -5826188486005177/12591392167224028 z -469507597606837/6295696083612014)
(-.f64 (*.f64 -5826188486005177/12591392167224028 z) 469507597606837/6295696083612014)
(fma.f64 -5826188486005177/12591392167224028 z -469507597606837/6295696083612014)
(-.f64 (*.f64 -5826188486005177/12591392167224028 z) 469507597606837/6295696083612014)
(fma.f64 -5826188486005177/12591392167224028 z -469507597606837/6295696083612014)
(*.f64 -5826188486005177/12591392167224028 z)
(-.f64 (*.f64 -5826188486005177/12591392167224028 z) 469507597606837/6295696083612014)
(fma.f64 -5826188486005177/12591392167224028 z -469507597606837/6295696083612014)
(-.f64 (*.f64 -5826188486005177/12591392167224028 z) 469507597606837/6295696083612014)
(fma.f64 -5826188486005177/12591392167224028 z -469507597606837/6295696083612014)
(-.f64 (*.f64 -5826188486005177/12591392167224028 z) 469507597606837/6295696083612014)
(fma.f64 -5826188486005177/12591392167224028 z -469507597606837/6295696083612014)
(*.f64 -5826188486005177/12591392167224028 z)
(-.f64 (*.f64 -5826188486005177/12591392167224028 z) 469507597606837/6295696083612014)
(fma.f64 -5826188486005177/12591392167224028 z -469507597606837/6295696083612014)
(-.f64 (*.f64 -5826188486005177/12591392167224028 z) 469507597606837/6295696083612014)
(fma.f64 -5826188486005177/12591392167224028 z -469507597606837/6295696083612014)
(-.f64 (*.f64 -5826188486005177/12591392167224028 z) 469507597606837/6295696083612014)
(fma.f64 -5826188486005177/12591392167224028 z -469507597606837/6295696083612014)

localize134.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(.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))))
✓	0.9b	(+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
	1.1b	(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))

Compiler

Compiled 369 to 275 computations (25.5% saved)

series8.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	z	@	0	(.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))))
1.0ms	z	@	-inf	(.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))))
1.0ms	z	@	inf	(.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))))
1.0ms	z	@	0	(+.f64 646366562873259793/3000000000000000 (+.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 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))

rewrite74.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

490×	`add-sqr-sqrt_binary64`
465×	`add-cbrt-cube_binary64`
465×	`add-log-exp_binary64`
464×	`add-exp-log_binary64`
464×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	98
1	956	98

Stop Event

1×	node limit

Counts

2 → 17

Calls

Call 1

Inputs

(+.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 (+.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))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 646366562873259793/3000000000000000 (+.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 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (cbrt.f64 (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (cbrt.f64 (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (sqrt.f64 (+.f64 646366562873259793/3000000000000000 (+.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 270045314111149317828226089380810675507433529344350257/27000000000000000000000000000000000000000000000 (pow.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) 3)) (+.f64 417789733600591705031065998070402849/9000000000000000000000000000000 (-.f64 (*.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 646366562873259793/3000000000000000 (+.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 417789733600591705031065998070402849/9000000000000000000000000000000 (*.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 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((#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (+.f64 (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (*.f64 (+.f64 (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2)))) (*.f64 (+.f64 (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2))))) (*.f64 (+.f64 (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2))))))))))

simplify71.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

424×	`fma-def_binary64`
345×	`cancel-sign-sub-inv_binary64`
334×	`times-frac_binary64`
313×	`distribute-rgt-out_binary64`
274×	`distribute-rgt-neg-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	121	805
1	357	775
2	1225	599
3	5299	578

Stop Event

1×	node limit

Counts

41 → 51

Calls

Call 1

Inputs
904816194325545171523082059/4200000000000000000000000
(+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 -2715848032326100368047161/705600000000000000000000000 z))
(+.f64 904816194325545171523082059/4200000000000000000000000 (+.f64 (.f64 -2715848032326100368047161/705600000000000000000000000 z) (.f64 -76044331624539137747479981/118540800000000000000000000000 (pow.f64 z 2))))
(+.f64 (.f64 -2129255331893733814996830001/19914854400000000000000000000000 (pow.f64 z 3)) (+.f64 904816194325545171523082059/4200000000000000000000000 (+.f64 (.f64 -2715848032326100368047161/705600000000000000000000000 z) (*.f64 -76044331624539137747479981/118540800000000000000000000000 (pow.f64 z 2)))))
646366562873259793/3000000000000000
(+.f64 646366562873259793/3000000000000000 (*.f64 3464024008321714637421/25000000000000000000000 (/.f64 1 z)))
(+.f64 646366562873259793/3000000000000000 (+.f64 (.f64 3464024008321714637421/25000000000000000000000 (/.f64 1 z)) (.f64 5195971728131790397167/6250000000000000000000 (/.f64 1 (pow.f64 z 2)))))
(+.f64 646366562873259793/3000000000000000 (+.f64 (.f64 3464024008321714637421/25000000000000000000000 (/.f64 1 z)) (+.f64 (.f64 31175378496294352533611/6250000000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 5195971728131790397167/6250000000000000000000 (/.f64 1 (pow.f64 z 2))))))
646366562873259793/3000000000000000
(+.f64 646366562873259793/3000000000000000 (*.f64 3464024008321714637421/25000000000000000000000 (/.f64 1 z)))
(+.f64 646366562873259793/3000000000000000 (+.f64 (.f64 3464024008321714637421/25000000000000000000000 (/.f64 1 z)) (.f64 5195971728131790397167/6250000000000000000000 (/.f64 1 (pow.f64 z 2)))))
(+.f64 646366562873259793/3000000000000000 (+.f64 (.f64 3464024008321714637421/25000000000000000000000 (/.f64 1 z)) (+.f64 (.f64 31175378496294352533611/6250000000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 5195971728131790397167/6250000000000000000000 (/.f64 1 (pow.f64 z 2))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))
(+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 255237898068937946539631952839/705600000000000000000000000 (exp.f64 -15/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))
(+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 (-.f64 (+.f64 (.f64 61537768351425256993662252520019/118540800000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 1106209385320415913103082059/8400000000000000000000000 (exp.f64 -15/2)) (.f64 255237898068937946539631952839/705600000000000000000000000 (exp.f64 -15/2)))) (.f64 -1106209385320415913103082059/25200000000000000000000000 (.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2)))) z) (+.f64 (.f64 255237898068937946539631952839/705600000000000000000000000 (exp.f64 -15/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))))
(+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 (-.f64 (+.f64 (.f64 61537768351425256993662252520019/118540800000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 1106209385320415913103082059/8400000000000000000000000 (exp.f64 -15/2)) (.f64 255237898068937946539631952839/705600000000000000000000000 (exp.f64 -15/2)))) (.f64 -1106209385320415913103082059/25200000000000000000000000 (.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2)))) z) (+.f64 (.f64 (pow.f64 z 2) (-.f64 (+.f64 (.f64 1106209385320415913103082059/25200000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 61537768351425256993662252520019/118540800000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 11905579114879117765036105003169999/19914854400000000000000000000000 (exp.f64 -15/2)) (.f64 255237898068937946539631952839/1411200000000000000000000000 (exp.f64 -15/2))))) (.f64 -1/6 (.f64 (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (.f64 255237898068937946539631952839/705600000000000000000000000 (exp.f64 -15/2))) (pow.f64 (PI.f64) 2))))) (+.f64 (.f64 255237898068937946539631952839/705600000000000000000000000 (exp.f64 -15/2)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))))
(.f64 6493665628732592227/30000000000000000 (/.f64 (.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (sin.f64 (*.f64 z (PI.f64)))))
(+.f64 (.f64 14568935239021264214637421/25000000000000000000000 (/.f64 (.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (.f64 (sin.f64 (.f64 z (PI.f64))) z))) (.f64 6493665628732592227/30000000000000000 (/.f64 (.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (sin.f64 (*.f64 z (PI.f64))))))
(+.f64 (.f64 14568935239021264214637421/25000000000000000000000 (/.f64 (.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (.f64 (sin.f64 (.f64 z (PI.f64))) z))) (+.f64 (.f64 11516183879996384915397167/6250000000000000000000 (/.f64 (.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (.f64 (sin.f64 (.f64 z (PI.f64))) (pow.f64 z 2)))) (.f64 6493665628732592227/30000000000000000 (/.f64 (.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (sin.f64 (*.f64 z (PI.f64)))))))
(+.f64 (.f64 27281403495794582477533611/6250000000000000000000 (/.f64 (.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (.f64 (sin.f64 (.f64 z (PI.f64))) (pow.f64 z 3)))) (+.f64 (.f64 14568935239021264214637421/25000000000000000000000 (/.f64 (.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (.f64 (sin.f64 (.f64 z (PI.f64))) z))) (+.f64 (.f64 11516183879996384915397167/6250000000000000000000 (/.f64 (.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (.f64 (sin.f64 (.f64 z (PI.f64))) (pow.f64 z 2)))) (.f64 6493665628732592227/30000000000000000 (/.f64 (.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (sin.f64 (*.f64 z (PI.f64))))))))
(.f64 6493665628732592227/30000000000000000 (/.f64 (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (PI.f64)) (sin.f64 (.f64 z (PI.f64)))))
(+.f64 (.f64 14568935239021264214637421/25000000000000000000000 (/.f64 (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (PI.f64)) (.f64 (sin.f64 (.f64 z (PI.f64))) z))) (.f64 6493665628732592227/30000000000000000 (/.f64 (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (PI.f64)) (sin.f64 (*.f64 z (PI.f64))))))
(+.f64 (.f64 14568935239021264214637421/25000000000000000000000 (/.f64 (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (PI.f64)) (.f64 (sin.f64 (.f64 z (PI.f64))) z))) (+.f64 (.f64 6493665628732592227/30000000000000000 (/.f64 (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (PI.f64)) (sin.f64 (.f64 z (PI.f64))))) (.f64 11516183879996384915397167/6250000000000000000000 (/.f64 (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (PI.f64)) (.f64 (sin.f64 (.f64 z (PI.f64))) (pow.f64 z 2))))))
(+.f64 (.f64 14568935239021264214637421/25000000000000000000000 (/.f64 (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (PI.f64)) (.f64 (sin.f64 (.f64 z (PI.f64))) z))) (+.f64 (.f64 27281403495794582477533611/6250000000000000000000 (/.f64 (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (PI.f64)) (.f64 (sin.f64 (.f64 z (PI.f64))) (pow.f64 z 3)))) (+.f64 (.f64 6493665628732592227/30000000000000000 (/.f64 (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (PI.f64)) (sin.f64 (.f64 z (PI.f64))))) (.f64 11516183879996384915397167/6250000000000000000000 (/.f64 (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (PI.f64)) (.f64 (sin.f64 (*.f64 z (PI.f64))) (pow.f64 z 2)))))))

Outputs
904816194325545171523082059/4200000000000000000000000
(+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 -2715848032326100368047161/705600000000000000000000000 z))
(fma.f64 -2715848032326100368047161/705600000000000000000000000 z 904816194325545171523082059/4200000000000000000000000)
(+.f64 904816194325545171523082059/4200000000000000000000000 (+.f64 (.f64 -2715848032326100368047161/705600000000000000000000000 z) (.f64 -76044331624539137747479981/118540800000000000000000000000 (pow.f64 z 2))))
(+.f64 904816194325545171523082059/4200000000000000000000000 (fma.f64 -2715848032326100368047161/705600000000000000000000000 z (.f64 -76044331624539137747479981/118540800000000000000000000000 (.f64 z z))))
(+.f64 (fma.f64 -2715848032326100368047161/705600000000000000000000000 z 904816194325545171523082059/4200000000000000000000000) (.f64 -76044331624539137747479981/118540800000000000000000000000 (.f64 z z)))
(fma.f64 -2715848032326100368047161/705600000000000000000000000 z (fma.f64 z (*.f64 z -76044331624539137747479981/118540800000000000000000000000) 904816194325545171523082059/4200000000000000000000000))
(fma.f64 -2715848032326100368047161/705600000000000000000000000 z (fma.f64 -76044331624539137747479981/118540800000000000000000000000 (*.f64 z z) 904816194325545171523082059/4200000000000000000000000))
(+.f64 (.f64 -2129255331893733814996830001/19914854400000000000000000000000 (pow.f64 z 3)) (+.f64 904816194325545171523082059/4200000000000000000000000 (+.f64 (.f64 -2715848032326100368047161/705600000000000000000000000 z) (*.f64 -76044331624539137747479981/118540800000000000000000000000 (pow.f64 z 2)))))
(fma.f64 -2129255331893733814996830001/19914854400000000000000000000000 (pow.f64 z 3) (+.f64 904816194325545171523082059/4200000000000000000000000 (fma.f64 -2715848032326100368047161/705600000000000000000000000 z (.f64 -76044331624539137747479981/118540800000000000000000000000 (.f64 z z)))))
(fma.f64 -2129255331893733814996830001/19914854400000000000000000000000 (pow.f64 z 3) (+.f64 (fma.f64 -2715848032326100368047161/705600000000000000000000000 z 904816194325545171523082059/4200000000000000000000000) (.f64 -76044331624539137747479981/118540800000000000000000000000 (.f64 z z))))
(fma.f64 -2129255331893733814996830001/19914854400000000000000000000000 (pow.f64 z 3) (fma.f64 -2715848032326100368047161/705600000000000000000000000 z (fma.f64 z (*.f64 z -76044331624539137747479981/118540800000000000000000000000) 904816194325545171523082059/4200000000000000000000000)))
(fma.f64 -2129255331893733814996830001/19914854400000000000000000000000 (pow.f64 z 3) (fma.f64 -2715848032326100368047161/705600000000000000000000000 z (fma.f64 -76044331624539137747479981/118540800000000000000000000000 (*.f64 z z) 904816194325545171523082059/4200000000000000000000000)))
646366562873259793/3000000000000000
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(.f64 (/.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (sin.f64 (.f64 z (PI.f64))) (PI.f64))) (+.f64 (/.f64 14568935239021264214637421/25000000000000000000000 z) 6493665628732592227/30000000000000000))
(+.f64 (.f64 14568935239021264214637421/25000000000000000000000 (/.f64 (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (PI.f64)) (.f64 (sin.f64 (.f64 z (PI.f64))) z))) (+.f64 (.f64 6493665628732592227/30000000000000000 (/.f64 (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (PI.f64)) (sin.f64 (.f64 z (PI.f64))))) (.f64 11516183879996384915397167/6250000000000000000000 (/.f64 (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (PI.f64)) (.f64 (sin.f64 (.f64 z (PI.f64))) (pow.f64 z 2))))))
(fma.f64 14568935239021264214637421/25000000000000000000000 (.f64 (/.f64 (exp.f64 (+.f64 z -15/2)) (sin.f64 (.f64 z (PI.f64)))) (/.f64 (PI.f64) z)) (fma.f64 11516183879996384915397167/6250000000000000000000 (.f64 (/.f64 (exp.f64 (+.f64 z -15/2)) (sin.f64 (.f64 z (PI.f64)))) (/.f64 (PI.f64) (.f64 z z))) (/.f64 (.f64 6493665628732592227/30000000000000000 (.f64 (PI.f64) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (.f64 z (PI.f64))))))
(fma.f64 14568935239021264214637421/25000000000000000000000 (/.f64 (.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (PI.f64) z)) (sin.f64 (.f64 z (PI.f64)))) (fma.f64 6493665628732592227/30000000000000000 (.f64 (/.f64 (exp.f64 (+.f64 z -15/2)) (sin.f64 (.f64 z (PI.f64)))) (PI.f64)) (.f64 11516183879996384915397167/6250000000000000000000 (/.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (sin.f64 (.f64 z (PI.f64))) (/.f64 (PI.f64) (*.f64 z z)))))))
(fma.f64 6493665628732592227/30000000000000000 (.f64 (PI.f64) (/.f64 (exp.f64 (+.f64 z -15/2)) (sin.f64 (.f64 z (PI.f64))))) (.f64 (.f64 (PI.f64) (/.f64 (exp.f64 (+.f64 z -15/2)) (sin.f64 (.f64 z (PI.f64))))) (+.f64 (/.f64 14568935239021264214637421/25000000000000000000000 z) (/.f64 11516183879996384915397167/6250000000000000000000 (.f64 z z)))))
(fma.f64 6493665628732592227/30000000000000000 (/.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (sin.f64 (.f64 z (PI.f64))) (PI.f64))) (.f64 (/.f64 (/.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64))) z) (+.f64 14568935239021264214637421/25000000000000000000000 (/.f64 11516183879996384915397167/6250000000000000000000 z))))
(+.f64 (.f64 14568935239021264214637421/25000000000000000000000 (/.f64 (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (PI.f64)) (.f64 (sin.f64 (.f64 z (PI.f64))) z))) (+.f64 (.f64 27281403495794582477533611/6250000000000000000000 (/.f64 (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (PI.f64)) (.f64 (sin.f64 (.f64 z (PI.f64))) (pow.f64 z 3)))) (+.f64 (.f64 6493665628732592227/30000000000000000 (/.f64 (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (PI.f64)) (sin.f64 (.f64 z (PI.f64))))) (.f64 11516183879996384915397167/6250000000000000000000 (/.f64 (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (PI.f64)) (.f64 (sin.f64 (*.f64 z (PI.f64))) (pow.f64 z 2)))))))
(fma.f64 27281403495794582477533611/6250000000000000000000 (.f64 (/.f64 (exp.f64 (+.f64 z -15/2)) (sin.f64 (.f64 z (PI.f64)))) (/.f64 (PI.f64) (pow.f64 z 3))) (fma.f64 14568935239021264214637421/25000000000000000000000 (.f64 (/.f64 (exp.f64 (+.f64 z -15/2)) (sin.f64 (.f64 z (PI.f64)))) (/.f64 (PI.f64) z)) (fma.f64 11516183879996384915397167/6250000000000000000000 (.f64 (/.f64 (exp.f64 (+.f64 z -15/2)) (sin.f64 (.f64 z (PI.f64)))) (/.f64 (PI.f64) (.f64 z z))) (/.f64 (.f64 6493665628732592227/30000000000000000 (.f64 (PI.f64) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (.f64 z (PI.f64)))))))
(fma.f64 14568935239021264214637421/25000000000000000000000 (/.f64 (.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (PI.f64) z)) (sin.f64 (.f64 z (PI.f64)))) (fma.f64 27281403495794582477533611/6250000000000000000000 (.f64 (/.f64 (exp.f64 (+.f64 z -15/2)) (sin.f64 (.f64 z (PI.f64)))) (/.f64 (PI.f64) (pow.f64 z 3))) (fma.f64 6493665628732592227/30000000000000000 (.f64 (/.f64 (exp.f64 (+.f64 z -15/2)) (sin.f64 (.f64 z (PI.f64)))) (PI.f64)) (.f64 11516183879996384915397167/6250000000000000000000 (/.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (sin.f64 (.f64 z (PI.f64))) (/.f64 (PI.f64) (*.f64 z z))))))))
(+.f64 (.f64 (.f64 (PI.f64) (/.f64 (exp.f64 (+.f64 z -15/2)) (sin.f64 (.f64 z (PI.f64))))) (+.f64 (/.f64 14568935239021264214637421/25000000000000000000000 z) 6493665628732592227/30000000000000000)) (.f64 (.f64 (PI.f64) (/.f64 (exp.f64 (+.f64 z -15/2)) (sin.f64 (.f64 z (PI.f64))))) (+.f64 (/.f64 11516183879996384915397167/6250000000000000000000 (*.f64 z z)) (/.f64 27281403495794582477533611/6250000000000000000000 (pow.f64 z 3)))))
(+.f64 (.f64 (/.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (sin.f64 (.f64 z (PI.f64))) (PI.f64))) (+.f64 6493665628732592227/30000000000000000 (/.f64 27281403495794582477533611/6250000000000000000000 (pow.f64 z 3)))) (.f64 (/.f64 (/.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (sin.f64 (.f64 z (PI.f64))) (PI.f64))) z) (+.f64 14568935239021264214637421/25000000000000000000000 (/.f64 11516183879996384915397167/6250000000000000000000 z))))

localize184.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 525 to 404 computations (23% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite71.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

422×	`add-sqr-sqrt_binary64`
404×	`add-cbrt-cube_binary64`
404×	`add-exp-log_binary64`
404×	`add-log-exp_binary64`
404×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	77
1	832	77

Stop Event

1×	node limit

Counts

2 → 27

Calls

Call 1

Inputs

(+.f64 (*.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 3 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))

(+.f64 (+.f64 (*.f64 7713234287776531/10000000000000 (/.f64 1 (-.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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.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 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 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(/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 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 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 fma.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 3 z)) (+.f64 (/.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 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(-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (sqrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) 3) (pow.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) 3)) (+.f64 (*.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (-.f64 (*.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (*.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (-.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))))

simplify78.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

459×	`distribute-neg-frac_binary64`
451×	`associate-/l*_binary64`
358×	`sub-neg_binary64`
324×	`*-commutative_binary64`
317×	`associate-/r*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	73	390
1	197	360
2	562	355
3	1785	354
4	4744	354
5	7780	354

Stop Event

1×	node limit

Counts

51 → 55

Calls

Call 1

Inputs
646366562873259793/3000000000000000
(+.f64 646366562873259793/3000000000000000 (*.f64 6764801184542762983/90000000000000000 z))
(+.f64 (.f64 139903109899614281171/5400000000000000000 (pow.f64 z 2)) (+.f64 646366562873259793/3000000000000000 (.f64 6764801184542762983/90000000000000000 z)))
(+.f64 (.f64 139903109899614281171/5400000000000000000 (pow.f64 z 2)) (+.f64 646366562873259793/3000000000000000 (+.f64 (.f64 6764801184542762983/90000000000000000 z) (*.f64 2868249125582949494677/324000000000000000000 (pow.f64 z 3)))))
(/.f64 -121443148578839881/200000000000000 z)
(neg.f64 (+.f64 (.f64 66801875443113257/40000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 121443148578839881/200000000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (.f64 66801875443113257/40000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 121443148578839881/200000000000000 (/.f64 1 z)) (*.f64 177150158974872037/40000000000000 (/.f64 1 (pow.f64 z 3))))))
(neg.f64 (+.f64 (.f64 443431544818219937/40000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 66801875443113257/40000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 121443148578839881/200000000000000 (/.f64 1 z)) (.f64 177150158974872037/40000000000000 (/.f64 1 (pow.f64 z 3)))))))
(/.f64 -121443148578839881/200000000000000 z)
(neg.f64 (+.f64 (.f64 66801875443113257/40000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 121443148578839881/200000000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (.f64 66801875443113257/40000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 121443148578839881/200000000000000 (/.f64 1 z)) (*.f64 177150158974872037/40000000000000 (/.f64 1 (pow.f64 z 3))))))
(neg.f64 (+.f64 (.f64 443431544818219937/40000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 66801875443113257/40000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 121443148578839881/200000000000000 (/.f64 1 z)) (.f64 177150158974872037/40000000000000 (/.f64 1 (pow.f64 z 3)))))))
904816194325545171523082059/4200000000000000000000000
(+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 17677775146260978562117317613/235200000000000000000000000 z))
(+.f64 904816194325545171523082059/4200000000000000000000000 (+.f64 (.f64 17677775146260978562117317613/235200000000000000000000000 z) (.f64 3071077024184708161128044520019/118540800000000000000000000000 (pow.f64 z 2))))
(+.f64 904816194325545171523082059/4200000000000000000000000 (+.f64 (.f64 17677775146260978562117317613/235200000000000000000000000 z) (+.f64 (.f64 58765508066033148908734538123333/6638284800000000000000000000000 (pow.f64 z 3)) (*.f64 3071077024184708161128044520019/118540800000000000000000000000 (pow.f64 z 2)))))
(/.f64 -15176929548346663410362579/25000000000000000000000 z)
(neg.f64 (+.f64 (.f64 10432597066258314615852833/6250000000000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 15176929548346663410362579/25000000000000000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (.f64 10432597066258314615852833/6250000000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 27648536961327461428716389/6250000000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 15176929548346663410362579/25000000000000000000000 (/.f64 1 z)))))
(neg.f64 (+.f64 (.f64 10432597066258314615852833/6250000000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 69099129785032901121487187/6250000000000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 27648536961327461428716389/6250000000000000000000 (/.f64 1 (pow.f64 z 3))) (.f64 15176929548346663410362579/25000000000000000000000 (/.f64 1 z))))))
(/.f64 -15176929548346663410362579/25000000000000000000000 z)
(neg.f64 (+.f64 (.f64 10432597066258314615852833/6250000000000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 15176929548346663410362579/25000000000000000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (.f64 10432597066258314615852833/6250000000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 27648536961327461428716389/6250000000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 15176929548346663410362579/25000000000000000000000 (/.f64 1 z)))))
(neg.f64 (+.f64 (.f64 10432597066258314615852833/6250000000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 69099129785032901121487187/6250000000000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 27648536961327461428716389/6250000000000000000000 (/.f64 1 (pow.f64 z 3))) (.f64 15176929548346663410362579/25000000000000000000000 (/.f64 1 z))))))

Outputs
646366562873259793/3000000000000000
(+.f64 646366562873259793/3000000000000000 (*.f64 6764801184542762983/90000000000000000 z))
(fma.f64 6764801184542762983/90000000000000000 z 646366562873259793/3000000000000000)
(+.f64 (.f64 139903109899614281171/5400000000000000000 (pow.f64 z 2)) (+.f64 646366562873259793/3000000000000000 (.f64 6764801184542762983/90000000000000000 z)))
(fma.f64 139903109899614281171/5400000000000000000 (.f64 z z) (+.f64 646366562873259793/3000000000000000 (.f64 6764801184542762983/90000000000000000 z)))
(fma.f64 139903109899614281171/5400000000000000000 (*.f64 z z) (fma.f64 6764801184542762983/90000000000000000 z 646366562873259793/3000000000000000))
(fma.f64 z (*.f64 z 139903109899614281171/5400000000000000000) (fma.f64 6764801184542762983/90000000000000000 z 646366562873259793/3000000000000000))
(fma.f64 6764801184542762983/90000000000000000 z (fma.f64 z (*.f64 z 139903109899614281171/5400000000000000000) 646366562873259793/3000000000000000))
(+.f64 (.f64 139903109899614281171/5400000000000000000 (pow.f64 z 2)) (+.f64 646366562873259793/3000000000000000 (+.f64 (.f64 6764801184542762983/90000000000000000 z) (*.f64 2868249125582949494677/324000000000000000000 (pow.f64 z 3)))))
(fma.f64 139903109899614281171/5400000000000000000 (.f64 z z) (+.f64 646366562873259793/3000000000000000 (fma.f64 6764801184542762983/90000000000000000 z (.f64 2868249125582949494677/324000000000000000000 (pow.f64 z 3)))))
(+.f64 (fma.f64 139903109899614281171/5400000000000000000 (.f64 z z) (fma.f64 6764801184542762983/90000000000000000 z 646366562873259793/3000000000000000)) (.f64 2868249125582949494677/324000000000000000000 (pow.f64 z 3)))
(fma.f64 z (*.f64 z 139903109899614281171/5400000000000000000) (fma.f64 6764801184542762983/90000000000000000 z (fma.f64 2868249125582949494677/324000000000000000000 (pow.f64 z 3) 646366562873259793/3000000000000000)))
(/.f64 -121443148578839881/200000000000000 z)
(neg.f64 (+.f64 (.f64 66801875443113257/40000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 121443148578839881/200000000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (/.f64 66801875443113257/40000000000000 (*.f64 z z)) (/.f64 121443148578839881/200000000000000 z)))
(+.f64 (/.f64 -66801875443113257/40000000000000 (*.f64 z z)) (/.f64 -121443148578839881/200000000000000 z))
(neg.f64 (+.f64 (.f64 66801875443113257/40000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 121443148578839881/200000000000000 (/.f64 1 z)) (*.f64 177150158974872037/40000000000000 (/.f64 1 (pow.f64 z 3))))))
(neg.f64 (+.f64 (/.f64 66801875443113257/40000000000000 (*.f64 z z)) (+.f64 (/.f64 121443148578839881/200000000000000 z) (/.f64 177150158974872037/40000000000000 (pow.f64 z 3)))))
(-.f64 (+.f64 (/.f64 -66801875443113257/40000000000000 (*.f64 z z)) (/.f64 -121443148578839881/200000000000000 z)) (/.f64 177150158974872037/40000000000000 (pow.f64 z 3)))
(+.f64 (+.f64 (/.f64 -66801875443113257/40000000000000 (*.f64 z z)) (/.f64 -121443148578839881/200000000000000 z)) (/.f64 -177150158974872037/40000000000000 (pow.f64 z 3)))
(+.f64 (/.f64 -66801875443113257/40000000000000 (*.f64 z z)) (+.f64 (/.f64 -121443148578839881/200000000000000 z) (/.f64 -177150158974872037/40000000000000 (pow.f64 z 3))))
(-.f64 (/.f64 -121443148578839881/200000000000000 z) (*.f64 (/.f64 (/.f64 1 z) z) (+.f64 (/.f64 177150158974872037/40000000000000 z) 66801875443113257/40000000000000)))
(neg.f64 (+.f64 (.f64 443431544818219937/40000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 66801875443113257/40000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 121443148578839881/200000000000000 (/.f64 1 z)) (.f64 177150158974872037/40000000000000 (/.f64 1 (pow.f64 z 3)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 66801875443113257/40000000000000 (*.f64 z z)) (+.f64 (/.f64 121443148578839881/200000000000000 z) (/.f64 177150158974872037/40000000000000 (pow.f64 z 3)))) (/.f64 443431544818219937/40000000000000 (pow.f64 z 4))))
(+.f64 (-.f64 (+.f64 (/.f64 -66801875443113257/40000000000000 (*.f64 z z)) (/.f64 -121443148578839881/200000000000000 z)) (/.f64 177150158974872037/40000000000000 (pow.f64 z 3))) (/.f64 -443431544818219937/40000000000000 (pow.f64 z 4)))
(+.f64 (+.f64 (/.f64 -121443148578839881/200000000000000 z) (/.f64 -177150158974872037/40000000000000 (pow.f64 z 3))) (+.f64 (/.f64 -66801875443113257/40000000000000 (*.f64 z z)) (/.f64 -443431544818219937/40000000000000 (pow.f64 z 4))))
(+.f64 (+.f64 (/.f64 -66801875443113257/40000000000000 (*.f64 z z)) (/.f64 -121443148578839881/200000000000000 z)) (+.f64 (/.f64 -443431544818219937/40000000000000 (pow.f64 z 4)) (/.f64 -177150158974872037/40000000000000 (pow.f64 z 3))))
(+.f64 (-.f64 (/.f64 -121443148578839881/200000000000000 z) (*.f64 (/.f64 (/.f64 1 z) z) (+.f64 (/.f64 177150158974872037/40000000000000 z) 66801875443113257/40000000000000))) (/.f64 -443431544818219937/40000000000000 (pow.f64 z 4)))
(/.f64 -121443148578839881/200000000000000 z)
(neg.f64 (+.f64 (.f64 66801875443113257/40000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 121443148578839881/200000000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (/.f64 66801875443113257/40000000000000 (*.f64 z z)) (/.f64 121443148578839881/200000000000000 z)))
(+.f64 (/.f64 -66801875443113257/40000000000000 (*.f64 z z)) (/.f64 -121443148578839881/200000000000000 z))
(neg.f64 (+.f64 (.f64 66801875443113257/40000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 121443148578839881/200000000000000 (/.f64 1 z)) (*.f64 177150158974872037/40000000000000 (/.f64 1 (pow.f64 z 3))))))
(neg.f64 (+.f64 (/.f64 66801875443113257/40000000000000 (*.f64 z z)) (+.f64 (/.f64 121443148578839881/200000000000000 z) (/.f64 177150158974872037/40000000000000 (pow.f64 z 3)))))
(-.f64 (+.f64 (/.f64 -66801875443113257/40000000000000 (*.f64 z z)) (/.f64 -121443148578839881/200000000000000 z)) (/.f64 177150158974872037/40000000000000 (pow.f64 z 3)))
(+.f64 (+.f64 (/.f64 -66801875443113257/40000000000000 (*.f64 z z)) (/.f64 -121443148578839881/200000000000000 z)) (/.f64 -177150158974872037/40000000000000 (pow.f64 z 3)))
(+.f64 (/.f64 -66801875443113257/40000000000000 (*.f64 z z)) (+.f64 (/.f64 -121443148578839881/200000000000000 z) (/.f64 -177150158974872037/40000000000000 (pow.f64 z 3))))
(-.f64 (/.f64 -121443148578839881/200000000000000 z) (*.f64 (/.f64 (/.f64 1 z) z) (+.f64 (/.f64 177150158974872037/40000000000000 z) 66801875443113257/40000000000000)))
(neg.f64 (+.f64 (.f64 443431544818219937/40000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 66801875443113257/40000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 121443148578839881/200000000000000 (/.f64 1 z)) (.f64 177150158974872037/40000000000000 (/.f64 1 (pow.f64 z 3)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 66801875443113257/40000000000000 (*.f64 z z)) (+.f64 (/.f64 121443148578839881/200000000000000 z) (/.f64 177150158974872037/40000000000000 (pow.f64 z 3)))) (/.f64 443431544818219937/40000000000000 (pow.f64 z 4))))
(+.f64 (-.f64 (+.f64 (/.f64 -66801875443113257/40000000000000 (*.f64 z z)) (/.f64 -121443148578839881/200000000000000 z)) (/.f64 177150158974872037/40000000000000 (pow.f64 z 3))) (/.f64 -443431544818219937/40000000000000 (pow.f64 z 4)))
(+.f64 (+.f64 (/.f64 -121443148578839881/200000000000000 z) (/.f64 -177150158974872037/40000000000000 (pow.f64 z 3))) (+.f64 (/.f64 -66801875443113257/40000000000000 (*.f64 z z)) (/.f64 -443431544818219937/40000000000000 (pow.f64 z 4))))
(+.f64 (+.f64 (/.f64 -66801875443113257/40000000000000 (*.f64 z z)) (/.f64 -121443148578839881/200000000000000 z)) (+.f64 (/.f64 -443431544818219937/40000000000000 (pow.f64 z 4)) (/.f64 -177150158974872037/40000000000000 (pow.f64 z 3))))
(+.f64 (-.f64 (/.f64 -121443148578839881/200000000000000 z) (*.f64 (/.f64 (/.f64 1 z) z) (+.f64 (/.f64 177150158974872037/40000000000000 z) 66801875443113257/40000000000000))) (/.f64 -443431544818219937/40000000000000 (pow.f64 z 4)))
904816194325545171523082059/4200000000000000000000000
(+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 17677775146260978562117317613/235200000000000000000000000 z))
(+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 z 17677775146260978562117317613/235200000000000000000000000))
(fma.f64 z 17677775146260978562117317613/235200000000000000000000000 904816194325545171523082059/4200000000000000000000000)
(+.f64 904816194325545171523082059/4200000000000000000000000 (+.f64 (.f64 17677775146260978562117317613/235200000000000000000000000 z) (.f64 3071077024184708161128044520019/118540800000000000000000000000 (pow.f64 z 2))))
(+.f64 904816194325545171523082059/4200000000000000000000000 (fma.f64 17677775146260978562117317613/235200000000000000000000000 z (.f64 (.f64 z z) 3071077024184708161128044520019/118540800000000000000000000000)))
(+.f64 (fma.f64 z 17677775146260978562117317613/235200000000000000000000000 904816194325545171523082059/4200000000000000000000000) (.f64 (.f64 3071077024184708161128044520019/118540800000000000000000000000 z) z))
(fma.f64 z 17677775146260978562117317613/235200000000000000000000000 (fma.f64 (*.f64 z z) 3071077024184708161128044520019/118540800000000000000000000000 904816194325545171523082059/4200000000000000000000000))
(fma.f64 (*.f64 z z) 3071077024184708161128044520019/118540800000000000000000000000 (fma.f64 z 17677775146260978562117317613/235200000000000000000000000 904816194325545171523082059/4200000000000000000000000))
(+.f64 904816194325545171523082059/4200000000000000000000000 (+.f64 (.f64 17677775146260978562117317613/235200000000000000000000000 z) (+.f64 (.f64 58765508066033148908734538123333/6638284800000000000000000000000 (pow.f64 z 3)) (*.f64 3071077024184708161128044520019/118540800000000000000000000000 (pow.f64 z 2)))))
(+.f64 904816194325545171523082059/4200000000000000000000000 (fma.f64 17677775146260978562117317613/235200000000000000000000000 z (fma.f64 58765508066033148908734538123333/6638284800000000000000000000000 (pow.f64 z 3) (.f64 (.f64 z z) 3071077024184708161128044520019/118540800000000000000000000000))))
(+.f64 (fma.f64 z 17677775146260978562117317613/235200000000000000000000000 904816194325545171523082059/4200000000000000000000000) (fma.f64 (.f64 z z) 3071077024184708161128044520019/118540800000000000000000000000 (.f64 (pow.f64 z 3) 58765508066033148908734538123333/6638284800000000000000000000000)))
(+.f64 (fma.f64 z 17677775146260978562117317613/235200000000000000000000000 904816194325545171523082059/4200000000000000000000000) (.f64 (.f64 z z) (+.f64 3071077024184708161128044520019/118540800000000000000000000000 (*.f64 z 58765508066033148908734538123333/6638284800000000000000000000000))))
(+.f64 904816194325545171523082059/4200000000000000000000000 (.f64 z (+.f64 (.f64 z (+.f64 3071077024184708161128044520019/118540800000000000000000000000 (*.f64 z 58765508066033148908734538123333/6638284800000000000000000000000))) 17677775146260978562117317613/235200000000000000000000000)))
(+.f64 904816194325545171523082059/4200000000000000000000000 (.f64 z (+.f64 17677775146260978562117317613/235200000000000000000000000 (.f64 z (+.f64 3071077024184708161128044520019/118540800000000000000000000000 (*.f64 z 58765508066033148908734538123333/6638284800000000000000000000000))))))
(/.f64 -15176929548346663410362579/25000000000000000000000 z)
(neg.f64 (+.f64 (.f64 10432597066258314615852833/6250000000000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 15176929548346663410362579/25000000000000000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (/.f64 10432597066258314615852833/6250000000000000000000 (*.f64 z z)) (/.f64 15176929548346663410362579/25000000000000000000000 z)))
(-.f64 (/.f64 -15176929548346663410362579/25000000000000000000000 z) (/.f64 10432597066258314615852833/6250000000000000000000 (*.f64 z z)))
(+.f64 (/.f64 -10432597066258314615852833/6250000000000000000000 (*.f64 z z)) (/.f64 -15176929548346663410362579/25000000000000000000000 z))
(neg.f64 (+.f64 (.f64 10432597066258314615852833/6250000000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 27648536961327461428716389/6250000000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 15176929548346663410362579/25000000000000000000000 (/.f64 1 z)))))
(neg.f64 (+.f64 (/.f64 10432597066258314615852833/6250000000000000000000 (*.f64 z z)) (+.f64 (/.f64 15176929548346663410362579/25000000000000000000000 z) (/.f64 27648536961327461428716389/6250000000000000000000 (pow.f64 z 3)))))
(-.f64 (/.f64 -10432597066258314615852833/6250000000000000000000 (*.f64 z z)) (+.f64 (/.f64 15176929548346663410362579/25000000000000000000000 z) (/.f64 27648536961327461428716389/6250000000000000000000 (pow.f64 z 3))))
(+.f64 (+.f64 (/.f64 -10432597066258314615852833/6250000000000000000000 (*.f64 z z)) (/.f64 -15176929548346663410362579/25000000000000000000000 z)) (/.f64 -27648536961327461428716389/6250000000000000000000 (pow.f64 z 3)))
(+.f64 (-.f64 (/.f64 -15176929548346663410362579/25000000000000000000000 z) (/.f64 10432597066258314615852833/6250000000000000000000 (*.f64 z z))) (/.f64 -27648536961327461428716389/6250000000000000000000 (pow.f64 z 3)))
(neg.f64 (+.f64 (.f64 10432597066258314615852833/6250000000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 69099129785032901121487187/6250000000000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 27648536961327461428716389/6250000000000000000000 (/.f64 1 (pow.f64 z 3))) (.f64 15176929548346663410362579/25000000000000000000000 (/.f64 1 z))))))
(neg.f64 (+.f64 (/.f64 10432597066258314615852833/6250000000000000000000 (*.f64 z z)) (+.f64 (+.f64 (/.f64 15176929548346663410362579/25000000000000000000000 z) (/.f64 27648536961327461428716389/6250000000000000000000 (pow.f64 z 3))) (/.f64 69099129785032901121487187/6250000000000000000000 (pow.f64 z 4)))))
(-.f64 (/.f64 -10432597066258314615852833/6250000000000000000000 (*.f64 z z)) (+.f64 (/.f64 15176929548346663410362579/25000000000000000000000 z) (+.f64 (/.f64 27648536961327461428716389/6250000000000000000000 (pow.f64 z 3)) (/.f64 69099129785032901121487187/6250000000000000000000 (pow.f64 z 4)))))
(+.f64 (+.f64 (+.f64 (/.f64 -10432597066258314615852833/6250000000000000000000 (*.f64 z z)) (/.f64 -15176929548346663410362579/25000000000000000000000 z)) (/.f64 -27648536961327461428716389/6250000000000000000000 (pow.f64 z 3))) (/.f64 -69099129785032901121487187/6250000000000000000000 (pow.f64 z 4)))
(+.f64 (-.f64 (/.f64 -15176929548346663410362579/25000000000000000000000 z) (/.f64 10432597066258314615852833/6250000000000000000000 (*.f64 z z))) (+.f64 (/.f64 -27648536961327461428716389/6250000000000000000000 (pow.f64 z 3)) (/.f64 -69099129785032901121487187/6250000000000000000000 (pow.f64 z 4))))
(-.f64 (-.f64 (/.f64 -15176929548346663410362579/25000000000000000000000 z) (/.f64 10432597066258314615852833/6250000000000000000000 (.f64 z z))) (.f64 (/.f64 1 (pow.f64 z 3)) (-.f64 (/.f64 69099129785032901121487187/6250000000000000000000 z) -27648536961327461428716389/6250000000000000000000)))
(/.f64 -15176929548346663410362579/25000000000000000000000 z)
(neg.f64 (+.f64 (.f64 10432597066258314615852833/6250000000000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 15176929548346663410362579/25000000000000000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (/.f64 10432597066258314615852833/6250000000000000000000 (*.f64 z z)) (/.f64 15176929548346663410362579/25000000000000000000000 z)))
(-.f64 (/.f64 -15176929548346663410362579/25000000000000000000000 z) (/.f64 10432597066258314615852833/6250000000000000000000 (*.f64 z z)))
(+.f64 (/.f64 -10432597066258314615852833/6250000000000000000000 (*.f64 z z)) (/.f64 -15176929548346663410362579/25000000000000000000000 z))
(neg.f64 (+.f64 (.f64 10432597066258314615852833/6250000000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 27648536961327461428716389/6250000000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 15176929548346663410362579/25000000000000000000000 (/.f64 1 z)))))
(neg.f64 (+.f64 (/.f64 10432597066258314615852833/6250000000000000000000 (*.f64 z z)) (+.f64 (/.f64 15176929548346663410362579/25000000000000000000000 z) (/.f64 27648536961327461428716389/6250000000000000000000 (pow.f64 z 3)))))
(-.f64 (/.f64 -10432597066258314615852833/6250000000000000000000 (*.f64 z z)) (+.f64 (/.f64 15176929548346663410362579/25000000000000000000000 z) (/.f64 27648536961327461428716389/6250000000000000000000 (pow.f64 z 3))))
(+.f64 (+.f64 (/.f64 -10432597066258314615852833/6250000000000000000000 (*.f64 z z)) (/.f64 -15176929548346663410362579/25000000000000000000000 z)) (/.f64 -27648536961327461428716389/6250000000000000000000 (pow.f64 z 3)))
(+.f64 (-.f64 (/.f64 -15176929548346663410362579/25000000000000000000000 z) (/.f64 10432597066258314615852833/6250000000000000000000 (*.f64 z z))) (/.f64 -27648536961327461428716389/6250000000000000000000 (pow.f64 z 3)))
(neg.f64 (+.f64 (.f64 10432597066258314615852833/6250000000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 69099129785032901121487187/6250000000000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 27648536961327461428716389/6250000000000000000000 (/.f64 1 (pow.f64 z 3))) (.f64 15176929548346663410362579/25000000000000000000000 (/.f64 1 z))))))
(neg.f64 (+.f64 (/.f64 10432597066258314615852833/6250000000000000000000 (*.f64 z z)) (+.f64 (+.f64 (/.f64 15176929548346663410362579/25000000000000000000000 z) (/.f64 27648536961327461428716389/6250000000000000000000 (pow.f64 z 3))) (/.f64 69099129785032901121487187/6250000000000000000000 (pow.f64 z 4)))))
(-.f64 (/.f64 -10432597066258314615852833/6250000000000000000000 (*.f64 z z)) (+.f64 (/.f64 15176929548346663410362579/25000000000000000000000 z) (+.f64 (/.f64 27648536961327461428716389/6250000000000000000000 (pow.f64 z 3)) (/.f64 69099129785032901121487187/6250000000000000000000 (pow.f64 z 4)))))
(+.f64 (+.f64 (+.f64 (/.f64 -10432597066258314615852833/6250000000000000000000 (*.f64 z z)) (/.f64 -15176929548346663410362579/25000000000000000000000 z)) (/.f64 -27648536961327461428716389/6250000000000000000000 (pow.f64 z 3))) (/.f64 -69099129785032901121487187/6250000000000000000000 (pow.f64 z 4)))
(+.f64 (-.f64 (/.f64 -15176929548346663410362579/25000000000000000000000 z) (/.f64 10432597066258314615852833/6250000000000000000000 (*.f64 z z))) (+.f64 (/.f64 -27648536961327461428716389/6250000000000000000000 (pow.f64 z 3)) (/.f64 -69099129785032901121487187/6250000000000000000000 (pow.f64 z 4))))
(-.f64 (-.f64 (/.f64 -15176929548346663410362579/25000000000000000000000 z) (/.f64 10432597066258314615852833/6250000000000000000000 (.f64 z z))) (.f64 (/.f64 1 (pow.f64 z 3)) (-.f64 (/.f64 69099129785032901121487187/6250000000000000000000 z) -27648536961327461428716389/6250000000000000000000)))

localize293.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
	2.7b	(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2)))
✓	5.5b	(+.f64 1 (+.f64 (neg.f64 z) -1))
	5.5b	(-.f64 (-.f64 1 z) 1)

Compiler

Compiled 917 to 792 computations (13.6% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	z	@	0	(+.f64 1 (+.f64 (neg.f64 z) -1))
0.0ms	z	@	inf	(+.f64 1 (+.f64 (neg.f64 z) -1))
0.0ms	z	@	-inf	(+.f64 1 (+.f64 (neg.f64 z) -1))

rewrite45.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

596×	`pow1_binary64`
561×	`add-log-exp_binary64`
559×	`log1p-expm1-u_binary64`
559×	`expm1-log1p-u_binary64`
553×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	150	1
2	2117	1

Stop Event

1×	node limit

Counts

1 → 46

Calls

Call 1

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

Outputs

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

simplify12.0ms (0%)

Algorithm

1×	egg-herbie

Rules

3×	`sub-neg_binary64`
2×	`+-commutative_binary64`
2×	`fma-def_binary64`
1×	`*-commutative_binary64`
1×	`associate-+l-_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	36
1	6	36
2	8	36
3	9	36
4	11	36
5	15	36
6	19	36
7	24	36

Stop Event

1×

saturated

Counts

58 → 46

Calls

Call 1

Inputs
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)

Outputs
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)

localize195.0ms (0.2%)

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	(pow.f64 (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 3)
	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 547 to 423 computations (22.7% saved)

series7.0ms (0%)

Counts

1 → 4

Calls

3 calls:

Time

Variable

Point

Expression

4.0ms

(pow.f64 (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 3)

2.0ms

inf

(pow.f64 (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 3)

1.0ms

-inf

(pow.f64 (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 3)

rewrite79.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

612×	`log-prod_binary64`
404×	`fma-def_binary64`
262×	`log-div_binary64`
259×	`expm1-udef_binary64`
258×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	16
1	330	16
2	4257	16

Stop Event

1×	node limit

Counts

1 → 82

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 3)

Outputs

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simplify73.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

423×	`fma-neg_binary64`
406×	`+-commutative_binary64`
315×	`div-sub_binary64`
309×	`associate-r_binary64`
306×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	77	424
1	230	414
2	757	382
3	3887	344
4	7015	344

Stop Event

1×	node limit

Counts

86 → 89

Calls

Call 1

Inputs
469507597606837/10000000000000
(+.f64 469507597606837/10000000000000 (.f64 z (+.f64 (.f64 904338909853211/7500000000000 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 469507597606837/10000000000000) 4)) 1/3)) (.f64 904338909853211/3750000000000 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 469507597606837/10000000000000) 4)) 1/3)))))
(+.f64 (.f64 (+.f64 (.f64 817828863874494091501567010521/28125000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 469507597606837/10000000000000)) 1/3)) (+.f64 (.f64 (+.f64 (.f64 2/3 (/.f64 (-.f64 2076511864126339/4000000000000 (.f64 817828863874494091501567010521/18750000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 469507597606837/10000000000000)) 1/3))) (cbrt.f64 469507597606837/10000000000000))) (.f64 817828863874494091501567010521/56250000000000000000000000 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 469507597606837/10000000000000) 4)) 1/3))) (cbrt.f64 469507597606837/10000000000000)) (.f64 1/3 (-.f64 2076511864126339/4000000000000 (.f64 817828863874494091501567010521/18750000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 469507597606837/10000000000000)) 1/3)))))) (pow.f64 z 2)) (+.f64 469507597606837/10000000000000 (.f64 z (+.f64 (.f64 904338909853211/7500000000000 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 469507597606837/10000000000000) 4)) 1/3)) (.f64 904338909853211/3750000000000 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 469507597606837/10000000000000) 4)) 1/3))))))
(+.f64 (.f64 (+.f64 (.f64 904338909853211/11250000000000 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 469507597606837/10000000000000) 5)) 1/3) (-.f64 2076511864126339/4000000000000 (.f64 817828863874494091501567010521/18750000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 469507597606837/10000000000000)) 1/3))))) (+.f64 (.f64 904338909853211/7500000000000 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 469507597606837/10000000000000) 2)) 1/3) (+.f64 (.f64 2/3 (/.f64 (-.f64 2076511864126339/4000000000000 (.f64 817828863874494091501567010521/18750000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 469507597606837/10000000000000)) 1/3))) (cbrt.f64 469507597606837/10000000000000))) (.f64 817828863874494091501567010521/56250000000000000000000000 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 469507597606837/10000000000000) 4)) 1/3))))) (+.f64 (.f64 (cbrt.f64 469507597606837/10000000000000) (+.f64 (.f64 904338909853211/11250000000000 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 469507597606837/10000000000000) 8)) 1/3) (-.f64 2076511864126339/4000000000000 (.f64 817828863874494091501567010521/18750000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 469507597606837/10000000000000)) 1/3))))) (.f64 2/3 (/.f64 (-.f64 23912966683069397/40000000000000 (+.f64 (.f64 739594463202750082410694260389096152202632931/421875000000000000000000000000000000000 (/.f64 1 (pow.f64 (cbrt.f64 469507597606837/10000000000000) 2))) (.f64 904338909853211/3750000000000 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 469507597606837/10000000000000) 5)) 1/3) (-.f64 2076511864126339/4000000000000 (.f64 817828863874494091501567010521/18750000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 469507597606837/10000000000000)) 1/3))))))) (cbrt.f64 469507597606837/10000000000000))))) (.f64 1/3 (-.f64 23912966683069397/40000000000000 (+.f64 (.f64 739594463202750082410694260389096152202632931/421875000000000000000000000000000000000 (/.f64 1 (pow.f64 (cbrt.f64 469507597606837/10000000000000) 2))) (.f64 904338909853211/3750000000000 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 469507597606837/10000000000000) 5)) 1/3) (-.f64 2076511864126339/4000000000000 (.f64 817828863874494091501567010521/18750000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 469507597606837/10000000000000)) 1/3))))))))))) (pow.f64 z 3)) (+.f64 (.f64 (+.f64 (.f64 817828863874494091501567010521/28125000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 469507597606837/10000000000000)) 1/3)) (+.f64 (.f64 (+.f64 (.f64 2/3 (/.f64 (-.f64 2076511864126339/4000000000000 (.f64 817828863874494091501567010521/18750000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 469507597606837/10000000000000)) 1/3))) (cbrt.f64 469507597606837/10000000000000))) (.f64 817828863874494091501567010521/56250000000000000000000000 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 469507597606837/10000000000000) 4)) 1/3))) (cbrt.f64 469507597606837/10000000000000)) (.f64 1/3 (-.f64 2076511864126339/4000000000000 (.f64 817828863874494091501567010521/18750000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 469507597606837/10000000000000)) 1/3)))))) (pow.f64 z 2)) (+.f64 469507597606837/10000000000000 (.f64 z (+.f64 (.f64 904338909853211/7500000000000 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 469507597606837/10000000000000) 4)) 1/3)) (.f64 904338909853211/3750000000000 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 469507597606837/10000000000000) 4)) 1/3)))))))

Outputs
469507597606837/10000000000000
(+.f64 469507597606837/10000000000000 (.f64 z (+.f64 (.f64 904338909853211/7500000000000 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 469507597606837/10000000000000) 4)) 1/3)) (.f64 904338909853211/3750000000000 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 469507597606837/10000000000000) 4)) 1/3)))))
(+.f64 469507597606837/10000000000000 (.f64 z (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 469507597606837/10000000000000) 4)) 904338909853211/2500000000000)))
(fma.f64 z (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 469507597606837/10000000000000) 4)) 904338909853211/2500000000000) 469507597606837/10000000000000)
(fma.f64 z (.f64 (cbrt.f64 (.f64 469507597606837/10000000000000 (cbrt.f64 469507597606837/10000000000000))) 904338909853211/2500000000000) 469507597606837/10000000000000)
(+.f64 (.f64 (+.f64 (.f64 817828863874494091501567010521/28125000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 469507597606837/10000000000000)) 1/3)) (+.f64 (.f64 (+.f64 (.f64 2/3 (/.f64 (-.f64 2076511864126339/4000000000000 (.f64 817828863874494091501567010521/18750000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 469507597606837/10000000000000)) 1/3))) (cbrt.f64 469507597606837/10000000000000))) (.f64 817828863874494091501567010521/56250000000000000000000000 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 469507597606837/10000000000000) 4)) 1/3))) (cbrt.f64 469507597606837/10000000000000)) (.f64 1/3 (-.f64 2076511864126339/4000000000000 (.f64 817828863874494091501567010521/18750000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 469507597606837/10000000000000)) 1/3)))))) (pow.f64 z 2)) (+.f64 469507597606837/10000000000000 (.f64 z (+.f64 (.f64 904338909853211/7500000000000 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 469507597606837/10000000000000) 4)) 1/3)) (.f64 904338909853211/3750000000000 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 469507597606837/10000000000000) 4)) 1/3))))))
(fma.f64 (fma.f64 817828863874494091501567010521/28125000000000000000000000 (cbrt.f64 (/.f64 1 (cbrt.f64 469507597606837/10000000000000))) (fma.f64 (fma.f64 2/3 (/.f64 (+.f64 2076511864126339/4000000000000 (.f64 -817828863874494091501567010521/18750000000000000000000000 (cbrt.f64 (/.f64 1 (cbrt.f64 469507597606837/10000000000000))))) (cbrt.f64 469507597606837/10000000000000)) (.f64 817828863874494091501567010521/56250000000000000000000000 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 469507597606837/10000000000000) 4))))) (cbrt.f64 469507597606837/10000000000000) (.f64 1/3 (+.f64 2076511864126339/4000000000000 (.f64 -817828863874494091501567010521/18750000000000000000000000 (cbrt.f64 (/.f64 1 (cbrt.f64 469507597606837/10000000000000)))))))) (.f64 z z) (+.f64 469507597606837/10000000000000 (.f64 z (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 469507597606837/10000000000000) 4)) 904338909853211/2500000000000))))
(fma.f64 (fma.f64 817828863874494091501567010521/28125000000000000000000000 (cbrt.f64 (/.f64 1 (cbrt.f64 469507597606837/10000000000000))) (fma.f64 (cbrt.f64 469507597606837/10000000000000) (fma.f64 2/3 (/.f64 (-.f64 2076511864126339/4000000000000 (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 469507597606837/10000000000000))) 817828863874494091501567010521/18750000000000000000000000)) (cbrt.f64 469507597606837/10000000000000)) (.f64 817828863874494091501567010521/56250000000000000000000000 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 469507597606837/10000000000000) 4))))) (+.f64 2076511864126339/12000000000000 (.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 469507597606837/10000000000000))) -817828863874494091501567010521/18750000000000000000000000))))) (.f64 z z) (fma.f64 z (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 469507597606837/10000000000000) 4)) 904338909853211/2500000000000) 469507597606837/10000000000000))
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(fma.f64 z (.f64 z (fma.f64 (cbrt.f64 469507597606837/10000000000000) (fma.f64 817828863874494091501567010521/56250000000000000000000000 (cbrt.f64 (/.f64 10000000000000/469507597606837 (cbrt.f64 469507597606837/10000000000000))) (/.f64 (+.f64 2076511864126339/6000000000000 (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 469507597606837/10000000000000))) -817828863874494091501567010521/28125000000000000000000000)) (cbrt.f64 469507597606837/10000000000000))) (+.f64 2076511864126339/12000000000000 (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 469507597606837/10000000000000))) 817828863874494091501567010521/56250000000000000000000000)))) (fma.f64 (fma.f64 904338909853211/7500000000000 (.f64 (fma.f64 817828863874494091501567010521/56250000000000000000000000 (cbrt.f64 (/.f64 10000000000000/469507597606837 (cbrt.f64 469507597606837/10000000000000))) (/.f64 (+.f64 2076511864126339/6000000000000 (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 469507597606837/10000000000000))) -817828863874494091501567010521/28125000000000000000000000)) (cbrt.f64 469507597606837/10000000000000))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 469507597606837/10000000000000) 2)))) (+.f64 (+.f64 (+.f64 23912966683069397/120000000000000 (.f64 1/3 (fma.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 469507597606837/10000000000000))) -817828863874494091501567010521/18750000000000000000000000 2076511864126339/4000000000000) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 469507597606837/10000000000000) 5))) -904338909853211/3750000000000) (/.f64 -739594463202750082410694260389096152202632931/421875000000000000000000000000000000000 (pow.f64 (cbrt.f64 469507597606837/10000000000000) 2))))) (-.f64 23912966683069397/60000000000000 (/.f64 (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 469507597606837/10000000000000) 5))) (.f64 904338909853211/3750000000000 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 469507597606837/10000000000000))) -817828863874494091501567010521/18750000000000000000000000 2076511864126339/4000000000000)) (/.f64 739594463202750082410694260389096152202632931/421875000000000000000000000000000000000 (pow.f64 (cbrt.f64 469507597606837/10000000000000) 2))) 3/2))) (.f64 (.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 469507597606837/10000000000000))) -817828863874494091501567010521/18750000000000000000000000 2076511864126339/4000000000000) 904338909853211/11250000000000) (+.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 469507597606837/10000000000000) 5))) (.f64 (cbrt.f64 469507597606837/10000000000000) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 469507597606837/10000000000000) 8)))))))) (pow.f64 z 3) (fma.f64 z (.f64 (cbrt.f64 (*.f64 469507597606837/10000000000000 (cbrt.f64 469507597606837/10000000000000))) 904338909853211/2500000000000) 469507597606837/10000000000000)))

eval2.2s (2.5%)

Compiler: Compiled 134306 to 108413 computations (19.3% saved)

prune276.0ms (0.3%)

Pruning

43 alts after pruning (40 fresh and 3 done)

	Pruned	Kept	Total
New	1265	27	1292
Fresh	12	13	25
Picked	1	0	1
Done	2	3	5
Total	1280	43	1323

Error

0.0b

Counts

1323 → 43

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.8b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (.f64 7713234287776531/10000000000000 (/.f64 1 (-.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))))))
	34.8b	(.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 (exp.f64 (log.f64 (neg.f64 z))) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
	0.7b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (-.f64 (.f64 -5826188486005177/12591392167224028 z) 469507597606837/6295696083612014) (.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) (-.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))))))
	2.5b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 z))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
▶	3.0b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))
	2.4b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 (-.f64 1 z) (.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) 6765203681218851/10000000000000)) (.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) (-.f64 1 z)))) (+.f64 (+.f64 646366562873259793/3000000000000000 (.f64 6764801184542762983/90000000000000000 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))) (exp.f64 (+.f64 z -15/2))))))
	62.7b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 -15176929548346663410362579/25000000000000000000000 z)) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
▶	0.8b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 (-.f64 10000000000000/6765203681218851 (/.f64 z 6765203681218851/10000000000000)) (.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) 1)) (.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) (-.f64 10000000000000/6765203681218851 (/.f64 z 6765203681218851/10000000000000))))) (+.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))))))
	2.1b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 904816194325545171523082059/4200000000000000000000000 (.f64 z (+.f64 17677775146260978562117317613/235200000000000000000000000 (.f64 z (+.f64 3071077024184708161128044520019/118540800000000000000000000000 (.f64 z 58765508066033148908734538123333/6638284800000000000000000000000))))))) (.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
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▶	1.7b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) 2))) (+.f64 (neg.f64 z) 2)) (.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) -3147848041806007/2500000000000)) (*.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (neg.f64 z) 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)))))
	2.8b	(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 2 (PI.f64))) 2)) (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 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
	2.8b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 -15/2) (+.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) 441081074802767819940949738751/705600000000000000000000000))))
▶	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 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (.f64 7713234287776531/10000000000000 (/.f64 1 (-.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))))))
	2.8b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 255237898068937946539631952839/705600000000000000000000000 (exp.f64 -15/2)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))))
	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 1 z) (.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) 6765203681218851/10000000000000)) (.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) (-.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))))))
▶	2.8b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 469507597606837/10000000000000) (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
	2.8b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 904816194325545171523082059/4200000000000000000000000) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
	63.7b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -10432597066258314615852833/6250000000000000000000 (.f64 z z)) (/.f64 -15176929548346663410362579/25000000000000000000000 z))) (.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
	3.0b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 z (exp.f64 -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 1 z) (.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) 6765203681218851/10000000000000)) (.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) (-.f64 1 z)))) (+.f64 (+.f64 (.f64 7713234287776531/10000000000000 (/.f64 1 (-.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))))))

Compiler

Compiled 6367 to 5349 computations (16% saved)

localize184.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 528 to 405 computations (23.3% saved)

series0.0ms (0%)

Counts: 1 → 0

rewrite81.0ms (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))))))

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

57 → 57

Calls

Call 1

Inputs

Outputs

localize38.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))
✓	0.5b	(/.f64 (exp.f64 -15/2) z)
✓	0.6b	(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 73 to 57 computations (21.9% saved)

series10.0ms (0%)

Counts

3 → 12

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	z	@	-inf	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))
2.0ms	z	@	inf	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))
2.0ms	z	@	0	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))
1.0ms	z	@	0	(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))
1.0ms	z	@	inf	(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))

rewrite90.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

922×	`log-prod_binary64`
340×	`expm1-udef_binary64`
340×	`log1p-udef_binary64`
278×	`log-pow_binary64`
196×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	45
1	397	45
2	4988	45

Stop Event

1×	node limit

Counts

3 → 80

Calls

Call 1

Inputs

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

(/.f64 (exp.f64 -15/2) z)

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

Outputs

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

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

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

simplify48.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

604×	`associate-l_binary64`
593×	`associate-r_binary64`
560×	`distribute-rgt-out_binary64`
477×	`times-frac_binary64`
447×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	75	588
1	231	561
2	790	511
3	4944	480

Stop Event

1×	node limit

Counts

92 → 91

Calls

Call 1

Inputs
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64)))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) z)))) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64)))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))))
(+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) z)))) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (.f64 (pow.f64 z 2) (+.f64 (.f64 29/225 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15)) (+.f64 86/10125 (.f64 1/6 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 3)))))))) (sqrt.f64 (PI.f64)))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) z) (sqrt.f64 (PI.f64))))
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Outputs
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(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 15/2) (/.f64 z (sqrt.f64 (PI.f64)))) (*.f64 (sqrt.f64 2) (exp.f64 -15/2))))
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(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (exp.f64 -15/2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (/.f64 z (exp.f64 -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))))))

localize108.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))
✓	0.6b	(.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 469507597606837/10000000000000) (+.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))))
	0.9b	(+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 290 to 212 computations (26.9% saved)

series6.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	z	@	0	(.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 469507597606837/10000000000000) (+.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))))
1.0ms	z	@	-inf	(.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 469507597606837/10000000000000) (+.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))))
1.0ms	z	@	inf	(.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 469507597606837/10000000000000) (+.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))))
1.0ms	z	@	-inf	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))
1.0ms	z	@	inf	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))

rewrite76.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

379×	`add-sqr-sqrt_binary64`
361×	`add-log-exp_binary64`
360×	`add-exp-log_binary64`
360×	`log1p-expm1-u_binary64`
360×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	68
1	748	68

Stop Event

1×	node limit

Counts

2 → 32

Calls

Call 1

Inputs

(*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 469507597606837/10000000000000) (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))

(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))

Outputs

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

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

simplify65.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

425×	`fma-def_binary64`
340×	`associate-r_binary64`
334×	`times-frac_binary64`
321×	`unsub-neg_binary64`
319×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	109	930
1	347	895
2	1249	715
3	5690	715

Stop Event

1×	node limit

Counts

56 → 60

Calls

Call 1

Inputs
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))
(+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 -2715848032326100368047161/705600000000000000000000000 (exp.f64 -15/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))
(+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 (-.f64 (+.f64 (.f64 -76044331624539137747479981/118540800000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 1106209385320415913103082059/8400000000000000000000000 (exp.f64 -15/2)) (.f64 -2715848032326100368047161/705600000000000000000000000 (exp.f64 -15/2)))) (.f64 -1106209385320415913103082059/25200000000000000000000000 (.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2)))) z) (+.f64 (.f64 -2715848032326100368047161/705600000000000000000000000 (exp.f64 -15/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))))
(+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 (-.f64 (+.f64 (.f64 -76044331624539137747479981/118540800000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 1106209385320415913103082059/8400000000000000000000000 (exp.f64 -15/2)) (.f64 -2715848032326100368047161/705600000000000000000000000 (exp.f64 -15/2)))) (.f64 -1106209385320415913103082059/25200000000000000000000000 (.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2)))) z) (+.f64 (.f64 (-.f64 (+.f64 (.f64 1106209385320415913103082059/25200000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 -2715848032326100368047161/1411200000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 -76044331624539137747479981/118540800000000000000000000000 (exp.f64 -15/2)) (.f64 -2129255331893733814996830001/19914854400000000000000000000000 (exp.f64 -15/2))))) (.f64 -1/6 (.f64 (pow.f64 (PI.f64) 2) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (.f64 -2715848032326100368047161/705600000000000000000000000 (exp.f64 -15/2)))))) (pow.f64 z 2)) (+.f64 (.f64 -2715848032326100368047161/705600000000000000000000000 (exp.f64 -15/2)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))))
(.f64 7902188421553103227/30000000000000000 (/.f64 (.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (sin.f64 (*.f64 z (PI.f64)))))
(+.f64 (.f64 7902188421553103227/30000000000000000 (/.f64 (.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (sin.f64 (.f64 z (PI.f64))))) (.f64 3464024008321714637421/25000000000000000000000 (/.f64 (.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (.f64 (sin.f64 (*.f64 z (PI.f64))) z))))
(+.f64 (.f64 7902188421553103227/30000000000000000 (/.f64 (.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (sin.f64 (.f64 z (PI.f64))))) (+.f64 (.f64 3464024008321714637421/25000000000000000000000 (/.f64 (.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (.f64 (sin.f64 (.f64 z (PI.f64))) z))) (.f64 5195971728131790397167/6250000000000000000000 (/.f64 (.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (.f64 (sin.f64 (*.f64 z (PI.f64))) (pow.f64 z 2))))))
(+.f64 (.f64 7902188421553103227/30000000000000000 (/.f64 (.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (sin.f64 (.f64 z (PI.f64))))) (+.f64 (.f64 3464024008321714637421/25000000000000000000000 (/.f64 (.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (.f64 (sin.f64 (.f64 z (PI.f64))) z))) (+.f64 (.f64 31175378496294352533611/6250000000000000000000 (/.f64 (.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (.f64 (sin.f64 (.f64 z (PI.f64))) (pow.f64 z 3)))) (.f64 5195971728131790397167/6250000000000000000000 (/.f64 (.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (.f64 (sin.f64 (*.f64 z (PI.f64))) (pow.f64 z 2)))))))
(.f64 7902188421553103227/30000000000000000 (/.f64 (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (PI.f64)) (sin.f64 (.f64 z (PI.f64)))))
(+.f64 (.f64 7902188421553103227/30000000000000000 (/.f64 (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (PI.f64)) (sin.f64 (.f64 z (PI.f64))))) (.f64 3464024008321714637421/25000000000000000000000 (/.f64 (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (PI.f64)) (.f64 (sin.f64 (*.f64 z (PI.f64))) z))))
(+.f64 (.f64 5195971728131790397167/6250000000000000000000 (/.f64 (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (PI.f64)) (.f64 (sin.f64 (.f64 z (PI.f64))) (pow.f64 z 2)))) (+.f64 (.f64 7902188421553103227/30000000000000000 (/.f64 (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (PI.f64)) (sin.f64 (.f64 z (PI.f64))))) (.f64 3464024008321714637421/25000000000000000000000 (/.f64 (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (PI.f64)) (.f64 (sin.f64 (.f64 z (PI.f64))) z)))))
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(/.f64 (exp.f64 -15/2) z)
(+.f64 (exp.f64 -15/2) (/.f64 (exp.f64 -15/2) z))
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(/.f64 (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (PI.f64)) (sin.f64 (*.f64 z (PI.f64))))
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(/.f64 (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (PI.f64)) (sin.f64 (*.f64 z (PI.f64))))

Outputs
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(.f64 (/.f64 (exp.f64 (-.f64 z 15/2)) (/.f64 (sin.f64 (.f64 z (PI.f64))) (PI.f64))) (+.f64 (/.f64 3464024008321714637421/25000000000000000000000 z) 7902188421553103227/30000000000000000))
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(+.f64 (.f64 5195971728131790397167/6250000000000000000000 (/.f64 (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (PI.f64)) (.f64 (sin.f64 (.f64 z (PI.f64))) (pow.f64 z 2)))) (+.f64 (.f64 7902188421553103227/30000000000000000 (/.f64 (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (PI.f64)) (sin.f64 (.f64 z (PI.f64))))) (.f64 3464024008321714637421/25000000000000000000000 (/.f64 (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (PI.f64)) (.f64 (sin.f64 (.f64 z (PI.f64))) z)))))
(fma.f64 7902188421553103227/30000000000000000 (/.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (sin.f64 (.f64 z (PI.f64))) (PI.f64))) (fma.f64 3464024008321714637421/25000000000000000000000 (.f64 (/.f64 (exp.f64 (+.f64 z -15/2)) (sin.f64 (.f64 z (PI.f64)))) (/.f64 (PI.f64) z)) (/.f64 (.f64 5195971728131790397167/6250000000000000000000 (.f64 (PI.f64) (exp.f64 (+.f64 z -15/2)))) (.f64 (.f64 z z) (sin.f64 (.f64 z (PI.f64)))))))
(fma.f64 7902188421553103227/30000000000000000 (/.f64 (exp.f64 (+.f64 -15/2 z)) (/.f64 (sin.f64 (.f64 z (PI.f64))) (PI.f64))) (fma.f64 3464024008321714637421/25000000000000000000000 (/.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) (/.f64 (PI.f64) z)) (sin.f64 (.f64 z (PI.f64)))) (.f64 5195971728131790397167/6250000000000000000000 (.f64 (/.f64 (exp.f64 (+.f64 -15/2 z)) (sin.f64 (.f64 z (PI.f64)))) (/.f64 (PI.f64) (*.f64 z z))))))
(fma.f64 3464024008321714637421/25000000000000000000000 (.f64 (/.f64 (PI.f64) (.f64 z (sin.f64 (.f64 z (PI.f64))))) (exp.f64 (-.f64 z 15/2))) (.f64 (/.f64 (exp.f64 (-.f64 z 15/2)) (/.f64 (sin.f64 (.f64 z (PI.f64))) (PI.f64))) (+.f64 (/.f64 5195971728131790397167/6250000000000000000000 (.f64 z z)) 7902188421553103227/30000000000000000)))
(fma.f64 7902188421553103227/30000000000000000 (.f64 (PI.f64) (/.f64 (exp.f64 (+.f64 -15/2 z)) (sin.f64 (.f64 z (PI.f64))))) (.f64 (.f64 (PI.f64) (/.f64 (exp.f64 (+.f64 -15/2 z)) (sin.f64 (.f64 z (PI.f64))))) (+.f64 (/.f64 3464024008321714637421/25000000000000000000000 z) (/.f64 5195971728131790397167/6250000000000000000000 (.f64 z z)))))
(+.f64 (.f64 5195971728131790397167/6250000000000000000000 (/.f64 (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (PI.f64)) (.f64 (sin.f64 (.f64 z (PI.f64))) (pow.f64 z 2)))) (+.f64 (.f64 7902188421553103227/30000000000000000 (/.f64 (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (PI.f64)) (sin.f64 (.f64 z (PI.f64))))) (+.f64 (.f64 3464024008321714637421/25000000000000000000000 (/.f64 (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (PI.f64)) (.f64 (sin.f64 (.f64 z (PI.f64))) z))) (.f64 31175378496294352533611/6250000000000000000000 (/.f64 (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (PI.f64)) (.f64 (sin.f64 (*.f64 z (PI.f64))) (pow.f64 z 3)))))))
(fma.f64 7902188421553103227/30000000000000000 (/.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (sin.f64 (.f64 z (PI.f64))) (PI.f64))) (fma.f64 3464024008321714637421/25000000000000000000000 (.f64 (/.f64 (exp.f64 (+.f64 z -15/2)) (sin.f64 (.f64 z (PI.f64)))) (/.f64 (PI.f64) z)) (fma.f64 31175378496294352533611/6250000000000000000000 (.f64 (/.f64 (exp.f64 (+.f64 z -15/2)) (sin.f64 (.f64 z (PI.f64)))) (/.f64 (PI.f64) (pow.f64 z 3))) (/.f64 (.f64 5195971728131790397167/6250000000000000000000 (.f64 (PI.f64) (exp.f64 (+.f64 z -15/2)))) (.f64 (.f64 z z) (sin.f64 (.f64 z (PI.f64))))))))
(fma.f64 5195971728131790397167/6250000000000000000000 (.f64 (/.f64 (exp.f64 (+.f64 -15/2 z)) (sin.f64 (.f64 z (PI.f64)))) (/.f64 (PI.f64) (.f64 z z))) (fma.f64 7902188421553103227/30000000000000000 (/.f64 (exp.f64 (+.f64 -15/2 z)) (/.f64 (sin.f64 (.f64 z (PI.f64))) (PI.f64))) (fma.f64 3464024008321714637421/25000000000000000000000 (/.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) (/.f64 (PI.f64) z)) (sin.f64 (.f64 z (PI.f64)))) (/.f64 (/.f64 (.f64 (.f64 31175378496294352533611/6250000000000000000000 (PI.f64)) (exp.f64 (+.f64 -15/2 z))) (sin.f64 (*.f64 z (PI.f64)))) (pow.f64 z 3)))))
(+.f64 (.f64 (/.f64 (exp.f64 (-.f64 z 15/2)) (/.f64 (sin.f64 (.f64 z (PI.f64))) (PI.f64))) (+.f64 (/.f64 3464024008321714637421/25000000000000000000000 z) (/.f64 5195971728131790397167/6250000000000000000000 (.f64 z z)))) (.f64 (/.f64 (exp.f64 (-.f64 z 15/2)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64))) (+.f64 (/.f64 31175378496294352533611/6250000000000000000000 (pow.f64 z 3)) 7902188421553103227/30000000000000000)))
(+.f64 (.f64 (.f64 (PI.f64) (/.f64 (exp.f64 (+.f64 -15/2 z)) (sin.f64 (.f64 z (PI.f64))))) (+.f64 (/.f64 3464024008321714637421/25000000000000000000000 z) (/.f64 5195971728131790397167/6250000000000000000000 (.f64 z z)))) (.f64 (.f64 (PI.f64) (/.f64 (exp.f64 (+.f64 -15/2 z)) (sin.f64 (*.f64 z (PI.f64))))) (+.f64 (/.f64 31175378496294352533611/6250000000000000000000 (pow.f64 z 3)) 7902188421553103227/30000000000000000)))
(/.f64 (exp.f64 -15/2) z)
(+.f64 (exp.f64 -15/2) (/.f64 (exp.f64 -15/2) z))
(+.f64 (exp.f64 -15/2) (+.f64 (.f64 (-.f64 (.f64 1/2 (exp.f64 -15/2)) (.f64 -1/6 (.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2)))) z) (/.f64 (exp.f64 -15/2) z)))
(+.f64 (exp.f64 -15/2) (fma.f64 (+.f64 (.f64 (exp.f64 -15/2) 1/2) (.f64 1/6 (*.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2)))) z (/.f64 (exp.f64 -15/2) z)))
(+.f64 (exp.f64 -15/2) (fma.f64 z (fma.f64 (exp.f64 -15/2) 1/2 (.f64 (.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2)) 1/6)) (/.f64 (exp.f64 -15/2) z)))
(+.f64 (exp.f64 -15/2) (fma.f64 z (.f64 (exp.f64 -15/2) (-.f64 1/2 (.f64 (pow.f64 (PI.f64) 2) -1/6))) (/.f64 (exp.f64 -15/2) z)))
(+.f64 (exp.f64 -15/2) (fma.f64 z (.f64 (exp.f64 -15/2) (+.f64 1/2 (.f64 (pow.f64 (PI.f64) 2) 1/6))) (/.f64 (exp.f64 -15/2) z)))
(+.f64 (exp.f64 -15/2) (+.f64 (.f64 (-.f64 (.f64 1/6 (exp.f64 -15/2)) (.f64 -1/6 (.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2)))) (pow.f64 z 2)) (+.f64 (.f64 (-.f64 (.f64 1/2 (exp.f64 -15/2)) (.f64 -1/6 (.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2)))) z) (/.f64 (exp.f64 -15/2) z))))
(+.f64 (exp.f64 -15/2) (fma.f64 (+.f64 (.f64 (exp.f64 -15/2) 1/6) (.f64 1/6 (.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2)))) (.f64 z z) (fma.f64 (+.f64 (.f64 (exp.f64 -15/2) 1/2) (.f64 1/6 (*.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2)))) z (/.f64 (exp.f64 -15/2) z))))
(+.f64 (exp.f64 -15/2) (fma.f64 (.f64 z z) (.f64 1/6 (+.f64 (exp.f64 -15/2) (.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2)))) (fma.f64 z (fma.f64 (exp.f64 -15/2) 1/2 (.f64 (*.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2)) 1/6)) (/.f64 (exp.f64 -15/2) z))))
(+.f64 (exp.f64 -15/2) (fma.f64 z (.f64 (exp.f64 -15/2) (-.f64 1/2 (.f64 (pow.f64 (PI.f64) 2) -1/6))) (fma.f64 (.f64 z z) (.f64 (exp.f64 -15/2) (-.f64 1/6 (*.f64 (pow.f64 (PI.f64) 2) -1/6))) (/.f64 (exp.f64 -15/2) z))))
(+.f64 (fma.f64 z (.f64 (exp.f64 -15/2) (+.f64 1/2 (.f64 (pow.f64 (PI.f64) 2) 1/6))) (/.f64 (exp.f64 -15/2) z)) (fma.f64 z (.f64 (.f64 z 1/6) (*.f64 (+.f64 (pow.f64 (PI.f64) 2) 1) (exp.f64 -15/2))) (exp.f64 -15/2)))
(/.f64 (.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (sin.f64 (.f64 z (PI.f64))))
(/.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))
(/.f64 (exp.f64 (+.f64 -15/2 z)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))
(/.f64 (exp.f64 (-.f64 z 15/2)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))
(.f64 (PI.f64) (/.f64 (exp.f64 (+.f64 -15/2 z)) (sin.f64 (.f64 z (PI.f64)))))
(/.f64 (.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (sin.f64 (.f64 z (PI.f64))))
(/.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))
(/.f64 (exp.f64 (+.f64 -15/2 z)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))
(/.f64 (exp.f64 (-.f64 z 15/2)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))
(.f64 (PI.f64) (/.f64 (exp.f64 (+.f64 -15/2 z)) (sin.f64 (.f64 z (PI.f64)))))
(/.f64 (.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (sin.f64 (.f64 z (PI.f64))))
(/.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))
(/.f64 (exp.f64 (+.f64 -15/2 z)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))
(/.f64 (exp.f64 (-.f64 z 15/2)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))
(.f64 (PI.f64) (/.f64 (exp.f64 (+.f64 -15/2 z)) (sin.f64 (.f64 z (PI.f64)))))
(/.f64 (.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (sin.f64 (.f64 z (PI.f64))))
(/.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))
(/.f64 (exp.f64 (+.f64 -15/2 z)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))
(/.f64 (exp.f64 (-.f64 z 15/2)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))
(.f64 (PI.f64) (/.f64 (exp.f64 (+.f64 -15/2 z)) (sin.f64 (.f64 z (PI.f64)))))
(/.f64 (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (PI.f64)) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))
(/.f64 (exp.f64 (+.f64 -15/2 z)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))
(/.f64 (exp.f64 (-.f64 z 15/2)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))
(.f64 (PI.f64) (/.f64 (exp.f64 (+.f64 -15/2 z)) (sin.f64 (.f64 z (PI.f64)))))
(/.f64 (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (PI.f64)) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))
(/.f64 (exp.f64 (+.f64 -15/2 z)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))
(/.f64 (exp.f64 (-.f64 z 15/2)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))
(.f64 (PI.f64) (/.f64 (exp.f64 (+.f64 -15/2 z)) (sin.f64 (.f64 z (PI.f64)))))
(/.f64 (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (PI.f64)) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))
(/.f64 (exp.f64 (+.f64 -15/2 z)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))
(/.f64 (exp.f64 (-.f64 z 15/2)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))
(.f64 (PI.f64) (/.f64 (exp.f64 (+.f64 -15/2 z)) (sin.f64 (.f64 z (PI.f64)))))
(/.f64 (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (PI.f64)) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))
(/.f64 (exp.f64 (+.f64 -15/2 z)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))
(/.f64 (exp.f64 (-.f64 z 15/2)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))
(.f64 (PI.f64) (/.f64 (exp.f64 (+.f64 -15/2 z)) (sin.f64 (.f64 z (PI.f64)))))

localize219.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.0b	(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
	1.0b	(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
✓	2.3b	(+.f64 (-.f64 10000000000000/6765203681218851 (/.f64 z 6765203681218851/10000000000000)) (*.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) 1))

Compiler

Compiled 623 to 486 computations (22% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

(+.f64 (-.f64 10000000000000/6765203681218851 (/.f64 z 6765203681218851/10000000000000)) (*.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) 1))

0.0ms

inf

(+.f64 (-.f64 10000000000000/6765203681218851 (/.f64 z 6765203681218851/10000000000000)) (*.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) 1))

0.0ms

-inf

(+.f64 (-.f64 10000000000000/6765203681218851 (/.f64 z 6765203681218851/10000000000000)) (*.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) 1))

rewrite86.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

552×	`log-prod_binary64`
431×	`fma-def_binary64`
352×	`pow2_binary64`
244×	`expm1-udef_binary64`
244×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	16
1	307	16
2	3912	12

Stop Event

1×	node limit

Counts

1 → 66

Calls

Call 1

Inputs
(+.f64 (-.f64 10000000000000/6765203681218851 (/.f64 z 6765203681218851/10000000000000)) (*.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) 1))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 10000000000000/6765203681218851 (+.f64 (fma.f64 10000000000000/6765203681218851 z 5000000000000/3147848041806007) (*.f64 z -2500000000000/3147848041806007)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 -5000000000000/3147848041806007 (-.f64 (*.f64 z -2500000000000/3147848041806007) (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851) (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851) 2) (-.f64 (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851) (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007))) (/.f64 (pow.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 2) (-.f64 (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851) (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851) -5000000000000/3147848041806007) (*.f64 z -2500000000000/3147848041806007))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 10000000000000/6765203681218851) (*.f64 10000000000000/6765203681218851 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851) (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851) (fma.f64 z 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(#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851) (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851) (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851) (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851) 1 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851) (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 1 (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007)) (pow.f64 (cbrt.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007)) 2) (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007)) 2) (cbrt.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007)) (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851)) (pow.f64 (cbrt.f64 (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851)) 2) (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851)) 2) (cbrt.f64 (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851)) (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007)) (sqrt.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007)) (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851)) (sqrt.f64 (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851)) (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1000000000000000000000000000000000000000/309629712517394580428200722024092610534658749051 (*.f64 (pow.f64 z 3) 1000000000000000000000000000000000000000/309629712517394580428200722024092610534658749051)) (/.f64 1 (fma.f64 (*.f64 10000000000000/6765203681218851 z) (fma.f64 10000000000000/6765203681218851 z 10000000000000/6765203681218851) 100000000000000000000000000/45767980848377092942628957760201)) (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 -125000000000000000000000000000000000000/31191860336727207531769765603776766852501482343 (*.f64 (pow.f64 z 3) -15625000000000000000000000000000000000/31191860336727207531769765603776766852501482343)) (/.f64 1 (fma.f64 (*.f64 z -2500000000000/3147848041806007) (fma.f64 z -2500000000000/3147848041806007 -5000000000000/3147848041806007) 25000000000000000000000000/9908947294301912793614221284049)) (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 100000000000000000000000000/45767980848377092942628957760201 (*.f64 (*.f64 z z) 100000000000000000000000000/45767980848377092942628957760201)) (/.f64 1 (fma.f64 10000000000000/6765203681218851 z 10000000000000/6765203681218851)) (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 25000000000000000000000000/9908947294301912793614221284049 (*.f64 (*.f64 z z) 6250000000000000000000000/9908947294301912793614221284049)) (/.f64 1 (fma.f64 z -2500000000000/3147848041806007 -5000000000000/3147848041806007)) (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851))))))

simplify12.0ms (0%)

Algorithm

1×	egg-herbie

Rules

2×	`fma-neg_binary64`
1×	`+-commutative_binary64`
1×	`*-commutative_binary64`
1×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	54
1	11	54
2	13	54

Stop Event

1×

saturated

Counts

78 → 70

Calls

Call 1

Inputs
-2347537988034185000000000000/21295833160343550136109053437957
(-.f64 (*.f64 -14565471215012942500000000000/21295833160343550136109053437957 z) 2347537988034185000000000000/21295833160343550136109053437957)
(-.f64 (*.f64 -14565471215012942500000000000/21295833160343550136109053437957 z) 2347537988034185000000000000/21295833160343550136109053437957)
(-.f64 (*.f64 -14565471215012942500000000000/21295833160343550136109053437957 z) 2347537988034185000000000000/21295833160343550136109053437957)
(*.f64 -14565471215012942500000000000/21295833160343550136109053437957 z)
(-.f64 (*.f64 -14565471215012942500000000000/21295833160343550136109053437957 z) 2347537988034185000000000000/21295833160343550136109053437957)
(-.f64 (*.f64 -14565471215012942500000000000/21295833160343550136109053437957 z) 2347537988034185000000000000/21295833160343550136109053437957)
(-.f64 (*.f64 -14565471215012942500000000000/21295833160343550136109053437957 z) 2347537988034185000000000000/21295833160343550136109053437957)
(*.f64 -14565471215012942500000000000/21295833160343550136109053437957 z)
(-.f64 (*.f64 -14565471215012942500000000000/21295833160343550136109053437957 z) 2347537988034185000000000000/21295833160343550136109053437957)
(-.f64 (*.f64 -14565471215012942500000000000/21295833160343550136109053437957 z) 2347537988034185000000000000/21295833160343550136109053437957)
(-.f64 (*.f64 -14565471215012942500000000000/21295833160343550136109053437957 z) 2347537988034185000000000000/21295833160343550136109053437957)

Outputs
-2347537988034185000000000000/21295833160343550136109053437957
(-.f64 (*.f64 -14565471215012942500000000000/21295833160343550136109053437957 z) 2347537988034185000000000000/21295833160343550136109053437957)
(fma.f64 -14565471215012942500000000000/21295833160343550136109053437957 z -2347537988034185000000000000/21295833160343550136109053437957)
(-.f64 (*.f64 -14565471215012942500000000000/21295833160343550136109053437957 z) 2347537988034185000000000000/21295833160343550136109053437957)
(fma.f64 -14565471215012942500000000000/21295833160343550136109053437957 z -2347537988034185000000000000/21295833160343550136109053437957)
(-.f64 (*.f64 -14565471215012942500000000000/21295833160343550136109053437957 z) 2347537988034185000000000000/21295833160343550136109053437957)
(fma.f64 -14565471215012942500000000000/21295833160343550136109053437957 z -2347537988034185000000000000/21295833160343550136109053437957)
(*.f64 -14565471215012942500000000000/21295833160343550136109053437957 z)
(-.f64 (*.f64 -14565471215012942500000000000/21295833160343550136109053437957 z) 2347537988034185000000000000/21295833160343550136109053437957)
(fma.f64 -14565471215012942500000000000/21295833160343550136109053437957 z -2347537988034185000000000000/21295833160343550136109053437957)
(-.f64 (*.f64 -14565471215012942500000000000/21295833160343550136109053437957 z) 2347537988034185000000000000/21295833160343550136109053437957)
(fma.f64 -14565471215012942500000000000/21295833160343550136109053437957 z -2347537988034185000000000000/21295833160343550136109053437957)
(-.f64 (*.f64 -14565471215012942500000000000/21295833160343550136109053437957 z) 2347537988034185000000000000/21295833160343550136109053437957)
(fma.f64 -14565471215012942500000000000/21295833160343550136109053437957 z -2347537988034185000000000000/21295833160343550136109053437957)
(*.f64 -14565471215012942500000000000/21295833160343550136109053437957 z)
(-.f64 (*.f64 -14565471215012942500000000000/21295833160343550136109053437957 z) 2347537988034185000000000000/21295833160343550136109053437957)
(fma.f64 -14565471215012942500000000000/21295833160343550136109053437957 z -2347537988034185000000000000/21295833160343550136109053437957)
(-.f64 (*.f64 -14565471215012942500000000000/21295833160343550136109053437957 z) 2347537988034185000000000000/21295833160343550136109053437957)
(fma.f64 -14565471215012942500000000000/21295833160343550136109053437957 z -2347537988034185000000000000/21295833160343550136109053437957)
(-.f64 (*.f64 -14565471215012942500000000000/21295833160343550136109053437957 z) 2347537988034185000000000000/21295833160343550136109053437957)
(fma.f64 -14565471215012942500000000000/21295833160343550136109053437957 z -2347537988034185000000000000/21295833160343550136109053437957)

localize359.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.0b	(/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
✓	2.5b	(+.f64 (.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) 2))) (+.f64 (neg.f64 z) 2)) (.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) -3147848041806007/2500000000000))
	5.5b	(-.f64 (-.f64 1 z) 1)

Compiler

Compiled 1095 to 926 computations (15.4% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

(+.f64 (*.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) 2))) (+.f64 (neg.f64 z) 2)) (*.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) -3147848041806007/2500000000000))

1.0ms

inf

(+.f64 (*.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) 2))) (+.f64 (neg.f64 z) 2)) (*.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) -3147848041806007/2500000000000))

1.0ms

-inf

(+.f64 (*.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) 2))) (+.f64 (neg.f64 z) 2)) (*.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) -3147848041806007/2500000000000))

rewrite113.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

366×	`expm1-udef_binary64`
366×	`log1p-udef_binary64`
347×	`fma-neg_binary64`
232×	`add-sqr-sqrt_binary64`
222×	`add-log-exp_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	34
1	472	32
2	6483	32

Stop Event

1×	node limit

Counts

1 → 39

Calls

Call 1

Inputs

(+.f64 (*.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) 2))) (+.f64 (neg.f64 z) 2)) (*.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) -3147848041806007/2500000000000))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 -45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (+.f64 1 z) -2))) (+.f64 2 z) (+.f64 -31478480418054085940872526780693/25000000000000000000000000000 (*.f64 -3147848041806007/2500000000000 (/.f64 6765203681218851/10000000000000 (+.f64 -1 z))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 -45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (+.f64 1 z) -2))) (+.f64 2 z)) 2) (+.f64 (*.f64 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 -45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (+.f64 1 z) -2))) (+.f64 2 z)) (*.f64 3147848041806007/2500000000000 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 -1 z)))))) (/.f64 (*.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 -1 z))) 2)) (+.f64 (*.f64 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 -45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (+.f64 1 z) -2))) (+.f64 2 z)) (*.f64 3147848041806007/2500000000000 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 -1 z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 -45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (+.f64 1 z) -2))) (+.f64 2 z) (+.f64 -31478480418054085940872526780693/25000000000000000000000000000 (*.f64 -3147848041806007/2500000000000 (/.f64 6765203681218851/10000000000000 (+.f64 -1 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 -45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (+.f64 1 z) -2))) (+.f64 2 z) (+.f64 -31478480418054085940872526780693/25000000000000000000000000000 (*.f64 -3147848041806007/2500000000000 (/.f64 6765203681218851/10000000000000 (+.f64 -1 z))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 -45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (+.f64 1 z) -2))) (+.f64 2 z) (+.f64 -31478480418054085940872526780693/25000000000000000000000000000 (*.f64 -3147848041806007/2500000000000 (/.f64 6765203681218851/10000000000000 (+.f64 -1 z)))))) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 -45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (+.f64 1 z) 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-31478480418054085940872526780693/25000000000000000000000000000 (*.f64 -3147848041806007/2500000000000 (/.f64 6765203681218851/10000000000000 (+.f64 -1 z))))) (*.f64 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 -45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (+.f64 1 z) -2))) (+.f64 2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 -45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (+.f64 1 z) -2))) (+.f64 2 z))) (sqrt.f64 (*.f64 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 -45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (+.f64 1 z) -2))) (+.f64 2 z))) (+.f64 -31478480418054085940872526780693/25000000000000000000000000000 (*.f64 -3147848041806007/2500000000000 (/.f64 6765203681218851/10000000000000 (+.f64 -1 z)))))))))

simplify60.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

832×	`distribute-rgt-neg-in_binary64`
678×	`times-frac_binary64`
548×	`fma-def_binary64`
536×	`unswap-sqr_binary64`
525×	`associate-l_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	35	121
1	89	117
2	204	117
3	571	111
4	1569	108
5	5100	108

Stop Event

1×	node limit

Counts

51 → 54

Calls

Call 1

Inputs
-3239171488526100880312595937844772199/50000000000000000000000000000000
(-.f64 (*.f64 -52120709903757078245430659528778613801/100000000000000000000000000000000 z) 3239171488526100880312595937844772199/50000000000000000000000000000000)
(-.f64 (+.f64 (.f64 -6118036922008385701629976080561/6250000000000000000000000 (pow.f64 z 2)) (.f64 -52120709903757078245430659528778613801/100000000000000000000000000000000 z)) 3239171488526100880312595937844772199/50000000000000000000000000000000)
(-.f64 (+.f64 (.f64 -143656571600511264168708575049177/100000000000000000000000000 (pow.f64 z 3)) (+.f64 (.f64 -6118036922008385701629976080561/6250000000000000000000000 (pow.f64 z 2)) (*.f64 -52120709903757078245430659528778613801/100000000000000000000000000000000 z))) 3239171488526100880312595937844772199/50000000000000000000000000000000)
(*.f64 -99999999999961980000000003613801/100000000000000000000000000000000 z)
(-.f64 (*.f64 -99999999999961980000000003613801/100000000000000000000000000000000 z) 62856960836108209901745053557772199/50000000000000000000000000000000)
(-.f64 (.f64 -99999999999961980000000003613801/100000000000000000000000000000000 z) (+.f64 62856960836108209901745053557772199/50000000000000000000000000000000 (.f64 39415351792997107601807255991627/100000000000000000000000000 (/.f64 1 z))))
(-.f64 (.f64 -99999999999961980000000003613801/100000000000000000000000000000000 z) (+.f64 62856960836108209901745053557772199/50000000000000000000000000000000 (+.f64 (.f64 21295833160343550136109053437957/25000000000000000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 39415351792997107601807255991627/100000000000000000000000000 (/.f64 1 z)))))
(*.f64 -99999999999961980000000003613801/100000000000000000000000000000000 z)
(-.f64 (*.f64 -99999999999961980000000003613801/100000000000000000000000000000000 z) 62856960836108209901745053557772199/50000000000000000000000000000000)
(-.f64 (.f64 -99999999999961980000000003613801/100000000000000000000000000000000 z) (+.f64 62856960836108209901745053557772199/50000000000000000000000000000000 (.f64 39415351792997107601807255991627/100000000000000000000000000 (/.f64 1 z))))
(-.f64 (.f64 -99999999999961980000000003613801/100000000000000000000000000000000 z) (+.f64 62856960836108209901745053557772199/50000000000000000000000000000000 (+.f64 (.f64 21295833160343550136109053437957/25000000000000000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 39415351792997107601807255991627/100000000000000000000000000 (/.f64 1 z)))))

Outputs
-3239171488526100880312595937844772199/50000000000000000000000000000000
(-.f64 (*.f64 -52120709903757078245430659528778613801/100000000000000000000000000000000 z) 3239171488526100880312595937844772199/50000000000000000000000000000000)
(fma.f64 -52120709903757078245430659528778613801/100000000000000000000000000000000 z -3239171488526100880312595937844772199/50000000000000000000000000000000)
(-.f64 (+.f64 (.f64 -6118036922008385701629976080561/6250000000000000000000000 (pow.f64 z 2)) (.f64 -52120709903757078245430659528778613801/100000000000000000000000000000000 z)) 3239171488526100880312595937844772199/50000000000000000000000000000000)
(+.f64 (.f64 -6118036922008385701629976080561/6250000000000000000000000 (.f64 z z)) (fma.f64 -52120709903757078245430659528778613801/100000000000000000000000000000000 z -3239171488526100880312595937844772199/50000000000000000000000000000000))
(fma.f64 -6118036922008385701629976080561/6250000000000000000000000 (*.f64 z z) (fma.f64 -52120709903757078245430659528778613801/100000000000000000000000000000000 z -3239171488526100880312595937844772199/50000000000000000000000000000000))
(fma.f64 -52120709903757078245430659528778613801/100000000000000000000000000000000 z (fma.f64 z (*.f64 z -6118036922008385701629976080561/6250000000000000000000000) -3239171488526100880312595937844772199/50000000000000000000000000000000))
(fma.f64 z (fma.f64 z -6118036922008385701629976080561/6250000000000000000000000 -52120709903757078245430659528778613801/100000000000000000000000000000000) -3239171488526100880312595937844772199/50000000000000000000000000000000)
(-.f64 (+.f64 (.f64 -143656571600511264168708575049177/100000000000000000000000000 (pow.f64 z 3)) (+.f64 (.f64 -6118036922008385701629976080561/6250000000000000000000000 (pow.f64 z 2)) (*.f64 -52120709903757078245430659528778613801/100000000000000000000000000000000 z))) 3239171488526100880312595937844772199/50000000000000000000000000000000)
(+.f64 (fma.f64 -143656571600511264168708575049177/100000000000000000000000000 (pow.f64 z 3) (fma.f64 -6118036922008385701629976080561/6250000000000000000000000 (.f64 z z) (.f64 -52120709903757078245430659528778613801/100000000000000000000000000000000 z))) -3239171488526100880312595937844772199/50000000000000000000000000000000)
(fma.f64 -143656571600511264168708575049177/100000000000000000000000000 (pow.f64 z 3) (fma.f64 -6118036922008385701629976080561/6250000000000000000000000 (*.f64 z z) (fma.f64 -52120709903757078245430659528778613801/100000000000000000000000000000000 z -3239171488526100880312595937844772199/50000000000000000000000000000000)))
(fma.f64 -143656571600511264168708575049177/100000000000000000000000000 (pow.f64 z 3) (fma.f64 -52120709903757078245430659528778613801/100000000000000000000000000000000 z (fma.f64 z (*.f64 z -6118036922008385701629976080561/6250000000000000000000000) -3239171488526100880312595937844772199/50000000000000000000000000000000)))
(fma.f64 -143656571600511264168708575049177/100000000000000000000000000 (pow.f64 z 3) (fma.f64 z (fma.f64 z -6118036922008385701629976080561/6250000000000000000000000 -52120709903757078245430659528778613801/100000000000000000000000000000000) -3239171488526100880312595937844772199/50000000000000000000000000000000))
(fma.f64 z (fma.f64 z (fma.f64 z -143656571600511264168708575049177/100000000000000000000000000 -6118036922008385701629976080561/6250000000000000000000000) -52120709903757078245430659528778613801/100000000000000000000000000000000) -3239171488526100880312595937844772199/50000000000000000000000000000000)
(*.f64 -99999999999961980000000003613801/100000000000000000000000000000000 z)
(*.f64 z -99999999999961980000000003613801/100000000000000000000000000000000)
(-.f64 (*.f64 -99999999999961980000000003613801/100000000000000000000000000000000 z) 62856960836108209901745053557772199/50000000000000000000000000000000)
(fma.f64 -99999999999961980000000003613801/100000000000000000000000000000000 z -62856960836108209901745053557772199/50000000000000000000000000000000)
(fma.f64 z -99999999999961980000000003613801/100000000000000000000000000000000 -62856960836108209901745053557772199/50000000000000000000000000000000)
(-.f64 (.f64 -99999999999961980000000003613801/100000000000000000000000000000000 z) (+.f64 62856960836108209901745053557772199/50000000000000000000000000000000 (.f64 39415351792997107601807255991627/100000000000000000000000000 (/.f64 1 z))))
(-.f64 (fma.f64 -99999999999961980000000003613801/100000000000000000000000000000000 z -62856960836108209901745053557772199/50000000000000000000000000000000) (/.f64 39415351792997107601807255991627/100000000000000000000000000 z))
(-.f64 (fma.f64 z -99999999999961980000000003613801/100000000000000000000000000000000 -62856960836108209901745053557772199/50000000000000000000000000000000) (/.f64 39415351792997107601807255991627/100000000000000000000000000 z))
(+.f64 (fma.f64 z -99999999999961980000000003613801/100000000000000000000000000000000 -62856960836108209901745053557772199/50000000000000000000000000000000) (/.f64 -39415351792997107601807255991627/100000000000000000000000000 z))
(fma.f64 z -99999999999961980000000003613801/100000000000000000000000000000000 (+.f64 -62856960836108209901745053557772199/50000000000000000000000000000000 (/.f64 -39415351792997107601807255991627/100000000000000000000000000 z)))
(-.f64 (.f64 -99999999999961980000000003613801/100000000000000000000000000000000 z) (+.f64 62856960836108209901745053557772199/50000000000000000000000000000000 (+.f64 (.f64 21295833160343550136109053437957/25000000000000000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 39415351792997107601807255991627/100000000000000000000000000 (/.f64 1 z)))))
(-.f64 (fma.f64 -99999999999961980000000003613801/100000000000000000000000000000000 z -62856960836108209901745053557772199/50000000000000000000000000000000) (+.f64 (/.f64 39415351792997107601807255991627/100000000000000000000000000 z) (/.f64 21295833160343550136109053437957/25000000000000000000000000 (*.f64 z z))))
(-.f64 (fma.f64 z -99999999999961980000000003613801/100000000000000000000000000000000 -62856960836108209901745053557772199/50000000000000000000000000000000) (+.f64 (/.f64 39415351792997107601807255991627/100000000000000000000000000 z) (/.f64 (/.f64 21295833160343550136109053437957/25000000000000000000000000 z) z)))
(+.f64 (fma.f64 z -99999999999961980000000003613801/100000000000000000000000000000000 -62856960836108209901745053557772199/50000000000000000000000000000000) (-.f64 (/.f64 -39415351792997107601807255991627/100000000000000000000000000 z) (/.f64 (/.f64 21295833160343550136109053437957/25000000000000000000000000 z) z)))
(+.f64 (fma.f64 z -99999999999961980000000003613801/100000000000000000000000000000000 -62856960836108209901745053557772199/50000000000000000000000000000000) (+.f64 (/.f64 -39415351792997107601807255991627/100000000000000000000000000 z) (/.f64 -21295833160343550136109053437957/25000000000000000000000000 (*.f64 z z))))
(-.f64 (+.f64 (fma.f64 z -99999999999961980000000003613801/100000000000000000000000000000000 -62856960836108209901745053557772199/50000000000000000000000000000000) (/.f64 -39415351792997107601807255991627/100000000000000000000000000 z)) (/.f64 21295833160343550136109053437957/25000000000000000000000000 (*.f64 z z)))
(-.f64 (fma.f64 z -99999999999961980000000003613801/100000000000000000000000000000000 (+.f64 -62856960836108209901745053557772199/50000000000000000000000000000000 (/.f64 -39415351792997107601807255991627/100000000000000000000000000 z))) (/.f64 (/.f64 21295833160343550136109053437957/25000000000000000000000000 z) z))
(*.f64 -99999999999961980000000003613801/100000000000000000000000000000000 z)
(*.f64 z -99999999999961980000000003613801/100000000000000000000000000000000)
(-.f64 (*.f64 -99999999999961980000000003613801/100000000000000000000000000000000 z) 62856960836108209901745053557772199/50000000000000000000000000000000)
(fma.f64 -99999999999961980000000003613801/100000000000000000000000000000000 z -62856960836108209901745053557772199/50000000000000000000000000000000)
(fma.f64 z -99999999999961980000000003613801/100000000000000000000000000000000 -62856960836108209901745053557772199/50000000000000000000000000000000)
(-.f64 (.f64 -99999999999961980000000003613801/100000000000000000000000000000000 z) (+.f64 62856960836108209901745053557772199/50000000000000000000000000000000 (.f64 39415351792997107601807255991627/100000000000000000000000000 (/.f64 1 z))))
(-.f64 (fma.f64 -99999999999961980000000003613801/100000000000000000000000000000000 z -62856960836108209901745053557772199/50000000000000000000000000000000) (/.f64 39415351792997107601807255991627/100000000000000000000000000 z))
(-.f64 (fma.f64 z -99999999999961980000000003613801/100000000000000000000000000000000 -62856960836108209901745053557772199/50000000000000000000000000000000) (/.f64 39415351792997107601807255991627/100000000000000000000000000 z))
(+.f64 (fma.f64 z -99999999999961980000000003613801/100000000000000000000000000000000 -62856960836108209901745053557772199/50000000000000000000000000000000) (/.f64 -39415351792997107601807255991627/100000000000000000000000000 z))
(fma.f64 z -99999999999961980000000003613801/100000000000000000000000000000000 (+.f64 -62856960836108209901745053557772199/50000000000000000000000000000000 (/.f64 -39415351792997107601807255991627/100000000000000000000000000 z)))
(-.f64 (.f64 -99999999999961980000000003613801/100000000000000000000000000000000 z) (+.f64 62856960836108209901745053557772199/50000000000000000000000000000000 (+.f64 (.f64 21295833160343550136109053437957/25000000000000000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 39415351792997107601807255991627/100000000000000000000000000 (/.f64 1 z)))))
(-.f64 (fma.f64 -99999999999961980000000003613801/100000000000000000000000000000000 z -62856960836108209901745053557772199/50000000000000000000000000000000) (+.f64 (/.f64 39415351792997107601807255991627/100000000000000000000000000 z) (/.f64 21295833160343550136109053437957/25000000000000000000000000 (*.f64 z z))))
(-.f64 (fma.f64 z -99999999999961980000000003613801/100000000000000000000000000000000 -62856960836108209901745053557772199/50000000000000000000000000000000) (+.f64 (/.f64 39415351792997107601807255991627/100000000000000000000000000 z) (/.f64 (/.f64 21295833160343550136109053437957/25000000000000000000000000 z) z)))
(+.f64 (fma.f64 z -99999999999961980000000003613801/100000000000000000000000000000000 -62856960836108209901745053557772199/50000000000000000000000000000000) (-.f64 (/.f64 -39415351792997107601807255991627/100000000000000000000000000 z) (/.f64 (/.f64 21295833160343550136109053437957/25000000000000000000000000 z) z)))
(+.f64 (fma.f64 z -99999999999961980000000003613801/100000000000000000000000000000000 -62856960836108209901745053557772199/50000000000000000000000000000000) (+.f64 (/.f64 -39415351792997107601807255991627/100000000000000000000000000 z) (/.f64 -21295833160343550136109053437957/25000000000000000000000000 (*.f64 z z))))
(-.f64 (+.f64 (fma.f64 z -99999999999961980000000003613801/100000000000000000000000000000000 -62856960836108209901745053557772199/50000000000000000000000000000000) (/.f64 -39415351792997107601807255991627/100000000000000000000000000 z)) (/.f64 21295833160343550136109053437957/25000000000000000000000000 (*.f64 z z)))
(-.f64 (fma.f64 z -99999999999961980000000003613801/100000000000000000000000000000000 (+.f64 -62856960836108209901745053557772199/50000000000000000000000000000000 (/.f64 -39415351792997107601807255991627/100000000000000000000000000 z))) (/.f64 (/.f64 21295833160343550136109053437957/25000000000000000000000000 z) z))

eval2.6s (2.9%)

Compiler: Compiled 117679 to 94861 computations (19.4% saved)

prune275.0ms (0.3%)

Pruning

57 alts after pruning (53 fresh and 4 done)

	Pruned	Kept	Total
New	1092	27	1119
Fresh	9	26	35
Picked	1	0	1
Done	3	4	7
Total	1105	57	1162

Error

0.0b

Counts

1162 → 57

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.8b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (.f64 7713234287776531/10000000000000 (/.f64 1 (-.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))))))
	34.8b	(.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 (exp.f64 (log.f64 (neg.f64 z))) 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)))))
	3.7b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/4) 1) (/.f64 (exp.f64 -15/4) z)))))
	0.7b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (-.f64 (.f64 -5826188486005177/12591392167224028 z) 469507597606837/6295696083612014) (.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) (-.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))))))
▶	2.5b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 z))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
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	50.2b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 6493665628732592227/30000000000000000 (/.f64 (.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (sin.f64 (.f64 z (PI.f64)))))))
	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))))))
	0.8b	(.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 10000000000000/6765203681218851 (/.f64 z 6765203681218851/10000000000000)) (.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) 1)) (.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) (-.f64 10000000000000/6765203681218851 (/.f64 z 6765203681218851/10000000000000))))) (+.f64 (+.f64 (expm1.f64 (log1p.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))))))
	2.7b	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))))))
	6.6b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (log.f64 (exp.f64 (+.f64 (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851) (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007)))) (.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) (-.f64 10000000000000/6765203681218851 (/.f64 z 6765203681218851/10000000000000))))) (+.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 1 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
	63.3b	(.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 -121443148578839881/200000000000000 z) (.f64 (/.f64 (/.f64 1 z) z) (+.f64 (/.f64 177150158974872037/40000000000000 z) 66801875443113257/40000000000000))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
	3.0b	(+.f64 0 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (.f64 (PI.f64) 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 (fma.f64 (/.f64 1 (-.f64 2 z)) -3147848041806007/2500000000000 (/.f64 6765203681218851/10000000000000 (-.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))))))
	2.4b	(.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 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 z))) (+.f64 (+.f64 (.f64 7713234287776531/10000000000000 (/.f64 1 (-.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))))))
	0.6b	(.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 1 z) (.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) 6765203681218851/10000000000000)) (.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) (-.f64 1 z)))) (+.f64 (+.f64 (.f64 7713234287776531/10000000000000 (/.f64 1 (-.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))))))
	0.6b	(.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 10000000000000/6765203681218851 (/.f64 z 6765203681218851/10000000000000)) (.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) 1)) (.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) (-.f64 10000000000000/6765203681218851 (/.f64 z 6765203681218851/10000000000000))))) (+.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))))))
	2.8b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 255237898068937946539631952839/705600000000000000000000000 (exp.f64 -15/2)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))))
	2.9b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 469507597606837/10000000000000) (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (/.f64 (exp.f64 -15/2) z))))
	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 1 z) (.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) 6765203681218851/10000000000000)) (.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) (-.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))))))
	2.8b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 904816194325545171523082059/4200000000000000000000000) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
	63.7b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -10432597066258314615852833/6250000000000000000000 (.f64 z z)) (/.f64 -15176929548346663410362579/25000000000000000000000 z))) (.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
▶	3.0b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 z (exp.f64 -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 1 z) (.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) 6765203681218851/10000000000000)) (.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) (-.f64 1 z)))) (+.f64 (+.f64 (.f64 7713234287776531/10000000000000 (/.f64 1 (-.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))))))
	44.1b	(cbrt.f64 (pow.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (.f64 (PI.f64) 2)))) 3))
	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 (cbrt.f64 (.f64 (.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
	2.8b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 -15/2) (+.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) 441081074802767819940949738751/705600000000000000000000000))))

Compiler

Compiled 6947 to 5820 computations (16.2% saved)

localize185.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 534 to 411 computations (23% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

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

0.0ms

inf

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

0.0ms

-inf

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

rewrite65.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

608×	`unpow-prod-down_binary64`
472×	`log-prod_binary64`
302×	`pow2_binary64`
284×	`prod-diff_binary64`
211×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	17
1	249	16
2	3063	16

Stop Event

1×	node limit

Counts

1 → 36

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 1) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 2) (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (sqrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2) (pow.f64 (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 2)) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2) (sqrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) 1/3) (cbrt.f64 (sqrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) 2) 3) (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 3) (pow.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 3)) (+.f64 (pow.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 2) (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) 2)) (*.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 2) (/.f64 45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) 2))) (-.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (exp.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (exp.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 1 (expm1.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 1))))))

simplify57.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

721×	`associate-l_binary64`
624×	`associate-/r*_binary64`
624×	`fma-def_binary64`
557×	`associate-/r/_binary64`
486×	`associate-r_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	38	183
1	95	177
2	220	177
3	556	171
4	1413	168
5	5754	168
6	7193	168

Stop Event

1×	node limit

Counts

48 → 50

Calls

Call 1

Inputs
469507597606837/10000000000000
(+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))
(+.f64 (.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 z)))
(+.f64 (.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 (.f64 23912966683069397/40000000000000 (pow.f64 z 3)) (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))))
(/.f64 5826188486005177/10000000000000 z)
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3)))))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 93965933656573373/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))))))
(/.f64 5826188486005177/10000000000000 z)
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3)))))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 93965933656573373/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))))))

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))
(fma.f64 904338909853211/2500000000000 z (fma.f64 z (*.f64 z 2076511864126339/4000000000000) 469507597606837/10000000000000))
(fma.f64 z (fma.f64 z 2076511864126339/4000000000000 904338909853211/2500000000000) 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)))
(fma.f64 z (*.f64 z 2076511864126339/4000000000000) (fma.f64 23912966683069397/40000000000000 (pow.f64 z 3) (fma.f64 904338909853211/2500000000000 z 469507597606837/10000000000000)))
(fma.f64 z (*.f64 z (fma.f64 z 23912966683069397/40000000000000 2076511864126339/4000000000000)) (fma.f64 904338909853211/2500000000000 z 469507597606837/10000000000000))
(fma.f64 z (fma.f64 z (fma.f64 z 23912966683069397/40000000000000 2076511864126339/4000000000000) 904338909853211/2500000000000) 469507597606837/10000000000000)
(/.f64 5826188486005177/10000000000000 z)
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (/.f64 5826188486005177/10000000000000 z))
(*.f64 (/.f64 1 z) (+.f64 (/.f64 3683516130645841/2000000000000 z) 5826188486005177/10000000000000))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3)))))
(+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3))))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 93965933656573373/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))))))
(+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (+.f64 (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3))) (/.f64 93965933656573373/10000000000000 (pow.f64 z 4))))
(+.f64 (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)) (+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 93965933656573373/10000000000000 (pow.f64 z 4)))))
(+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (+.f64 (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)) (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 93965933656573373/10000000000000 (pow.f64 z 4)))))
(+.f64 (/.f64 3683516130645841/2000000000000 (.f64 z z)) (+.f64 (/.f64 5826188486005177/10000000000000 z) (.f64 (/.f64 1 (pow.f64 z 3)) (+.f64 (/.f64 93965933656573373/10000000000000 z) 43600364987677261/10000000000000))))
(/.f64 5826188486005177/10000000000000 z)
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (/.f64 5826188486005177/10000000000000 z))
(*.f64 (/.f64 1 z) (+.f64 (/.f64 3683516130645841/2000000000000 z) 5826188486005177/10000000000000))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3)))))
(+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3))))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 93965933656573373/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))))))
(+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (+.f64 (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3))) (/.f64 93965933656573373/10000000000000 (pow.f64 z 4))))
(+.f64 (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)) (+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 93965933656573373/10000000000000 (pow.f64 z 4)))))
(+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (+.f64 (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)) (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 93965933656573373/10000000000000 (pow.f64 z 4)))))
(+.f64 (/.f64 3683516130645841/2000000000000 (.f64 z z)) (+.f64 (/.f64 5826188486005177/10000000000000 z) (.f64 (/.f64 1 (pow.f64 z 3)) (+.f64 (/.f64 93965933656573373/10000000000000 z) 43600364987677261/10000000000000))))

localize39.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 z (exp.f64 -15/2)))))
✓	0.5b	(/.f64 z (exp.f64 -15/2))
✓	0.7b	(/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 z (exp.f64 -15/2)))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 73 to 57 computations (21.9% saved)

series4.0ms (0%)

Counts

3 → 24

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	z	@	0	(/.f64 z (exp.f64 -15/2))
1.0ms	z	@	-inf	(/.f64 z (exp.f64 -15/2))
0.0ms	z	@	0	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 z (exp.f64 -15/2)))))
0.0ms	z	@	inf	(/.f64 z (exp.f64 -15/2))
0.0ms	z	@	0	(/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 z (exp.f64 -15/2)))

rewrite93.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

926×	`log-prod_binary64`
343×	`expm1-udef_binary64`
343×	`log1p-udef_binary64`
280×	`log-pow_binary64`
212×	`log-div_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	45
1	404	45
2	5178	45

Stop Event

1×	node limit

Counts

3 → 91

Calls

Call 1

Inputs

(/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 z (exp.f64 -15/2)))

(/.f64 z (exp.f64 -15/2))

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

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (*.f64 (exp.f64 -15/2) (/.f64 1106209385320415913103082059/4200000000000000000000000 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 -15/2) (/.f64 1106209385320415913103082059/4200000000000000000000000 z))) (sqrt.f64 (*.f64 (PI.f64) 2)))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 -15/2) (/.f64 1106209385320415913103082059/4200000000000000000000000 z))) (sqrt.f64 (*.f64 (PI.f64) 2)))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 -15/2) (/.f64 1106209385320415913103082059/4200000000000000000000000 z))) (sqrt.f64 (*.f64 (PI.f64) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 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simplify51.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

600×	`associate-l_binary64`
595×	`associate-r_binary64`
560×	`distribute-rgt-out_binary64`
481×	`times-frac_binary64`
447×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	77	696
1	236	669
2	798	619
3	4958	588

Stop Event

1×	node limit

Counts

115 → 102

Calls

Call 1

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

localize44.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (/.f64 (exp.f64 -15) (*.f64 z z))))))
✓	0.6b	(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (/.f64 (exp.f64 -15) (.f64 z z))))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
✓	29.0b	(sqrt.f64 (/.f64 (exp.f64 -15) (*.f64 z z)))

Compiler

Compiled 94 to 65 computations (30.9% saved)

series11.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	z	@	0	(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (/.f64 (exp.f64 -15) (.f64 z z))))
2.0ms	z	@	-inf	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (/.f64 (exp.f64 -15) (*.f64 z z))))))
1.0ms	z	@	inf	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (/.f64 (exp.f64 -15) (*.f64 z z))))))
1.0ms	z	@	0	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (/.f64 (exp.f64 -15) (*.f64 z z))))))
1.0ms	z	@	0	(sqrt.f64 (/.f64 (exp.f64 -15) (*.f64 z z)))

rewrite87.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

369×	`expm1-udef_binary64`
369×	`log1p-udef_binary64`
310×	`log-pow_binary64`
249×	`fma-def_binary64`
214×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	60
1	438	51
2	5507	45

Stop Event

1×	node limit

Counts

3 → 62

Calls

Call 1

Inputs

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

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (exp.f64 -15/2) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (exp.f64 -15/2) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (exp.f64 -15/2) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (exp.f64 -5) (cbrt.f64 (pow.f64 z -2))) (cbrt.f64 (/.f64 (exp.f64 -15/2) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (exp.f64 -15/2) z)) (*.f64 (exp.f64 -5) (cbrt.f64 (pow.f64 z -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 -15/2) (sqrt.f64 (pow.f64 z -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 -15/2) (pow.f64 (pow.f64 z -2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 -15/2) (/.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (/.f64 (exp.f64 -15/2) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (/.f64 (exp.f64 -30) (pow.f64 z 4)))) (sqrt.f64 (*.f64 (exp.f64 -5) (cbrt.f64 (pow.f64 z -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (/.f64 (exp.f64 -15/2) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 -30) (pow.f64 z 4))) 1/2) (pow.f64 (*.f64 (exp.f64 -5) (cbrt.f64 (pow.f64 z -2))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 (/.f64 z (/.f64 (exp.f64 -15) z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 z (exp.f64 -15/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (exp.f64 -15/2) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (neg.f64 (exp.f64 -15))) (sqrt.f64 (*.f64 z (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 (exp.f64 -15) z)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (exp.f64 -15/2)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (exp.f64 -15) (pow.f64 z -2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (exp.f64 -15/2) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (exp.f64 -15/2) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (exp.f64 -15/2) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (exp.f64 -15/2) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (exp.f64 -15/2) z))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (exp.f64 -15/2) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (exp.f64 -15/2) z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (exp.f64 -15/2) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (exp.f64 -15/2) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (exp.f64 -15/2) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 -15/2 (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (fma.f64 2 (log.f64 z) 15)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 -15/2 (log.f64 z)) 1))))))

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

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

simplify51.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

386×	`associate-l_binary64`
385×	`associate-r_binary64`
357×	`associate-/l*_binary64`
317×	`associate-+l+_binary64`
311×	`associate-+r+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	78	896
1	228	777
2	715	729
3	3719	706

Stop Event

1×	node limit

Counts

98 → 82

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 (exp.f64 -15)) (/.f64 1 z))
(*.f64 (sqrt.f64 (exp.f64 -15)) (/.f64 1 z))
(*.f64 (sqrt.f64 (exp.f64 -15)) (/.f64 1 z))
(*.f64 (sqrt.f64 (exp.f64 -15)) (/.f64 1 z))
(*.f64 (sqrt.f64 (exp.f64 -15)) (/.f64 1 z))
(*.f64 (sqrt.f64 (exp.f64 -15)) (/.f64 1 z))
(*.f64 (sqrt.f64 (exp.f64 -15)) (/.f64 1 z))
(*.f64 (sqrt.f64 (exp.f64 -15)) (/.f64 1 z))
(.f64 -1 (.f64 (sqrt.f64 (exp.f64 -15)) (/.f64 1 z)))
(.f64 -1 (.f64 (sqrt.f64 (exp.f64 -15)) (/.f64 1 z)))
(.f64 -1 (.f64 (sqrt.f64 (exp.f64 -15)) (/.f64 1 z)))
(.f64 -1 (.f64 (sqrt.f64 (exp.f64 -15)) (/.f64 1 z)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (exp.f64 -15)) (/.f64 1 z)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (exp.f64 -15)) (/.f64 1 z)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (exp.f64 -15)) (/.f64 1 z)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (exp.f64 -15)) (/.f64 1 z)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (exp.f64 -15)) (/.f64 1 z)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (exp.f64 -15)) (/.f64 1 z)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (exp.f64 -15)) (/.f64 1 z)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (exp.f64 -15)) (/.f64 1 z)))
(.f64 -1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (exp.f64 -15)) (/.f64 1 z)))
(.f64 -1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (exp.f64 -15)) (/.f64 1 z)))
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Outputs
(*.f64 (sqrt.f64 (exp.f64 -15)) (/.f64 1 z))
(/.f64 (sqrt.f64 (exp.f64 -15)) z)
(*.f64 (sqrt.f64 (exp.f64 -15)) (/.f64 1 z))
(/.f64 (sqrt.f64 (exp.f64 -15)) z)
(*.f64 (sqrt.f64 (exp.f64 -15)) (/.f64 1 z))
(/.f64 (sqrt.f64 (exp.f64 -15)) z)
(*.f64 (sqrt.f64 (exp.f64 -15)) (/.f64 1 z))
(/.f64 (sqrt.f64 (exp.f64 -15)) z)
(*.f64 (sqrt.f64 (exp.f64 -15)) (/.f64 1 z))
(/.f64 (sqrt.f64 (exp.f64 -15)) z)
(*.f64 (sqrt.f64 (exp.f64 -15)) (/.f64 1 z))
(/.f64 (sqrt.f64 (exp.f64 -15)) z)
(*.f64 (sqrt.f64 (exp.f64 -15)) (/.f64 1 z))
(/.f64 (sqrt.f64 (exp.f64 -15)) z)
(*.f64 (sqrt.f64 (exp.f64 -15)) (/.f64 1 z))
(/.f64 (sqrt.f64 (exp.f64 -15)) z)
(.f64 -1 (.f64 (sqrt.f64 (exp.f64 -15)) (/.f64 1 z)))
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(.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (+.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)) (.f64 (sqrt.f64 15/2) (.f64 (sqrt.f64 2) (.f64 z z)))) (/.f64 (sqrt.f64 15/2) (/.f64 z (sqrt.f64 2))))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 2) (+.f64 (.f64 z (.f64 (sqrt.f64 15/2) (fma.f64 1/2 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 2) 29/225))) (*.f64 (sqrt.f64 15/2) (-.f64 -1/15 (log.f64 15/2))))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (+.f64 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (.f64 z (.f64 z (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 (sqrt.f64 15/2) (+.f64 (.f64 (sqrt.f64 2) (+.f64 (*.f64 z (fma.f64 1/2 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 2) 29/225)) (-.f64 -1/15 (log.f64 15/2)))) (/.f64 (sqrt.f64 2) z))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) z) (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64)))))
(.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 2) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (.f64 (/.f64 (sqrt.f64 2) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sqrt.f64 2) z))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) z) (sqrt.f64 2))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) z) (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64)))))
(.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 2) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (.f64 (/.f64 (sqrt.f64 2) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sqrt.f64 2) z))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) z) (sqrt.f64 2))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) z) (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64)))))
(.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 2) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (.f64 (/.f64 (sqrt.f64 2) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sqrt.f64 2) z))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) z) (sqrt.f64 2))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) z) (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64)))))
(.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 2) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (.f64 (/.f64 (sqrt.f64 2) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sqrt.f64 2) z))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) z) (sqrt.f64 2))))
(.f64 -1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2)))) z) (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64)))))
(.f64 -1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 2) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(.f64 -1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (.f64 (/.f64 (sqrt.f64 2) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) -1106209385320415913103082059/4200000000000000000000000)))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (.f64 -1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) z) (sqrt.f64 2))))
(.f64 -1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2)))) z) (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64)))))
(.f64 -1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 2) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(.f64 -1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (.f64 (/.f64 (sqrt.f64 2) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) -1106209385320415913103082059/4200000000000000000000000)))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (.f64 -1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) z) (sqrt.f64 2))))
(.f64 -1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2)))) z) (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64)))))
(.f64 -1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 2) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(.f64 -1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (.f64 (/.f64 (sqrt.f64 2) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) -1106209385320415913103082059/4200000000000000000000000)))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (.f64 -1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) z) (sqrt.f64 2))))
(.f64 -1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2)))) z) (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64)))))
(.f64 -1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 2) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(.f64 -1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (.f64 (/.f64 (sqrt.f64 2) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) -1106209385320415913103082059/4200000000000000000000000)))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (.f64 -1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) z) (sqrt.f64 2))))

localize159.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 456 to 345 computations (24.3% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

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

0.0ms

inf

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

0.0ms

-inf

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

rewrite69.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

409×	`add-sqr-sqrt_binary64`
393×	`add-exp-log_binary64`
393×	`add-log-exp_binary64`
393×	`log1p-expm1-u_binary64`
393×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	52
1	797	52

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

Inputs

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (sqrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 (/.f64 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3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))

simplify48.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

664×	`associate-r_binary64`
651×	`fma-neg_binary64`
492×	`times-frac_binary64`
403×	`fma-def_binary64`
339×	`associate-*l/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	44	195
1	117	181
2	311	178
3	916	171
4	2759	171

Stop Event

1×	node limit

Counts

37 → 39

Calls

Call 1

Inputs
904816194325545171523082059/4200000000000000000000000
(+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 17677775146260978562117317613/235200000000000000000000000 z))
(+.f64 904816194325545171523082059/4200000000000000000000000 (+.f64 (.f64 17677775146260978562117317613/235200000000000000000000000 z) (.f64 3071077024184708161128044520019/118540800000000000000000000000 (pow.f64 z 2))))
(+.f64 904816194325545171523082059/4200000000000000000000000 (+.f64 (.f64 17677775146260978562117317613/235200000000000000000000000 z) (+.f64 (.f64 58765508066033148908734538123333/6638284800000000000000000000000 (pow.f64 z 3)) (*.f64 3071077024184708161128044520019/118540800000000000000000000000 (pow.f64 z 2)))))
(/.f64 -15176929548346663410362579/25000000000000000000000 z)
(neg.f64 (+.f64 (.f64 10432597066258314615852833/6250000000000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 15176929548346663410362579/25000000000000000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (.f64 10432597066258314615852833/6250000000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 27648536961327461428716389/6250000000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 15176929548346663410362579/25000000000000000000000 (/.f64 1 z)))))
(neg.f64 (+.f64 (.f64 10432597066258314615852833/6250000000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 69099129785032901121487187/6250000000000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 27648536961327461428716389/6250000000000000000000 (/.f64 1 (pow.f64 z 3))) (.f64 15176929548346663410362579/25000000000000000000000 (/.f64 1 z))))))
(/.f64 -15176929548346663410362579/25000000000000000000000 z)
(neg.f64 (+.f64 (.f64 10432597066258314615852833/6250000000000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 15176929548346663410362579/25000000000000000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (.f64 10432597066258314615852833/6250000000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 27648536961327461428716389/6250000000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 15176929548346663410362579/25000000000000000000000 (/.f64 1 z)))))
(neg.f64 (+.f64 (.f64 10432597066258314615852833/6250000000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 69099129785032901121487187/6250000000000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 27648536961327461428716389/6250000000000000000000 (/.f64 1 (pow.f64 z 3))) (.f64 15176929548346663410362579/25000000000000000000000 (/.f64 1 z))))))

Outputs
904816194325545171523082059/4200000000000000000000000
(+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 17677775146260978562117317613/235200000000000000000000000 z))
(fma.f64 17677775146260978562117317613/235200000000000000000000000 z 904816194325545171523082059/4200000000000000000000000)
(+.f64 904816194325545171523082059/4200000000000000000000000 (+.f64 (.f64 17677775146260978562117317613/235200000000000000000000000 z) (.f64 3071077024184708161128044520019/118540800000000000000000000000 (pow.f64 z 2))))
(+.f64 904816194325545171523082059/4200000000000000000000000 (fma.f64 17677775146260978562117317613/235200000000000000000000000 z (.f64 3071077024184708161128044520019/118540800000000000000000000000 (.f64 z z))))
(fma.f64 z (*.f64 z 3071077024184708161128044520019/118540800000000000000000000000) (fma.f64 17677775146260978562117317613/235200000000000000000000000 z 904816194325545171523082059/4200000000000000000000000))
(fma.f64 z (fma.f64 z 3071077024184708161128044520019/118540800000000000000000000000 17677775146260978562117317613/235200000000000000000000000) 904816194325545171523082059/4200000000000000000000000)
(+.f64 904816194325545171523082059/4200000000000000000000000 (+.f64 (.f64 17677775146260978562117317613/235200000000000000000000000 z) (+.f64 (.f64 58765508066033148908734538123333/6638284800000000000000000000000 (pow.f64 z 3)) (*.f64 3071077024184708161128044520019/118540800000000000000000000000 (pow.f64 z 2)))))
(+.f64 904816194325545171523082059/4200000000000000000000000 (fma.f64 17677775146260978562117317613/235200000000000000000000000 z (fma.f64 58765508066033148908734538123333/6638284800000000000000000000000 (pow.f64 z 3) (.f64 3071077024184708161128044520019/118540800000000000000000000000 (.f64 z z)))))
(+.f64 904816194325545171523082059/4200000000000000000000000 (fma.f64 17677775146260978562117317613/235200000000000000000000000 z (fma.f64 3071077024184708161128044520019/118540800000000000000000000000 (.f64 z z) (.f64 58765508066033148908734538123333/6638284800000000000000000000000 (pow.f64 z 3)))))
(+.f64 904816194325545171523082059/4200000000000000000000000 (fma.f64 17677775146260978562117317613/235200000000000000000000000 z (.f64 (.f64 z z) (+.f64 (*.f64 z 58765508066033148908734538123333/6638284800000000000000000000000) 3071077024184708161128044520019/118540800000000000000000000000))))
(fma.f64 (*.f64 z z) (fma.f64 z 58765508066033148908734538123333/6638284800000000000000000000000 3071077024184708161128044520019/118540800000000000000000000000) (fma.f64 17677775146260978562117317613/235200000000000000000000000 z 904816194325545171523082059/4200000000000000000000000))
(/.f64 -15176929548346663410362579/25000000000000000000000 z)
(neg.f64 (+.f64 (.f64 10432597066258314615852833/6250000000000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 15176929548346663410362579/25000000000000000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (/.f64 10432597066258314615852833/6250000000000000000000 (*.f64 z z)) (/.f64 15176929548346663410362579/25000000000000000000000 z)))
(+.f64 (/.f64 -10432597066258314615852833/6250000000000000000000 (*.f64 z z)) (/.f64 -15176929548346663410362579/25000000000000000000000 z))
(-.f64 (/.f64 -15176929548346663410362579/25000000000000000000000 z) (/.f64 10432597066258314615852833/6250000000000000000000 (*.f64 z z)))
(neg.f64 (+.f64 (.f64 10432597066258314615852833/6250000000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 27648536961327461428716389/6250000000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 15176929548346663410362579/25000000000000000000000 (/.f64 1 z)))))
(neg.f64 (+.f64 (/.f64 10432597066258314615852833/6250000000000000000000 (*.f64 z z)) (+.f64 (/.f64 15176929548346663410362579/25000000000000000000000 z) (/.f64 27648536961327461428716389/6250000000000000000000 (pow.f64 z 3)))))
(-.f64 (/.f64 -10432597066258314615852833/6250000000000000000000 (*.f64 z z)) (+.f64 (/.f64 15176929548346663410362579/25000000000000000000000 z) (/.f64 27648536961327461428716389/6250000000000000000000 (pow.f64 z 3))))
(+.f64 (/.f64 -10432597066258314615852833/6250000000000000000000 (*.f64 z z)) (+.f64 (/.f64 -15176929548346663410362579/25000000000000000000000 z) (/.f64 -27648536961327461428716389/6250000000000000000000 (pow.f64 z 3))))
(+.f64 (-.f64 (/.f64 -15176929548346663410362579/25000000000000000000000 z) (/.f64 10432597066258314615852833/6250000000000000000000 (*.f64 z z))) (/.f64 -27648536961327461428716389/6250000000000000000000 (pow.f64 z 3)))
(neg.f64 (+.f64 (.f64 10432597066258314615852833/6250000000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 69099129785032901121487187/6250000000000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 27648536961327461428716389/6250000000000000000000 (/.f64 1 (pow.f64 z 3))) (.f64 15176929548346663410362579/25000000000000000000000 (/.f64 1 z))))))
(neg.f64 (+.f64 (/.f64 10432597066258314615852833/6250000000000000000000 (*.f64 z z)) (+.f64 (+.f64 (/.f64 15176929548346663410362579/25000000000000000000000 z) (/.f64 27648536961327461428716389/6250000000000000000000 (pow.f64 z 3))) (/.f64 69099129785032901121487187/6250000000000000000000 (pow.f64 z 4)))))
(-.f64 (/.f64 -10432597066258314615852833/6250000000000000000000 (*.f64 z z)) (+.f64 (/.f64 27648536961327461428716389/6250000000000000000000 (pow.f64 z 3)) (+.f64 (/.f64 15176929548346663410362579/25000000000000000000000 z) (/.f64 69099129785032901121487187/6250000000000000000000 (pow.f64 z 4)))))
(+.f64 (+.f64 (/.f64 -10432597066258314615852833/6250000000000000000000 (*.f64 z z)) (+.f64 (/.f64 -15176929548346663410362579/25000000000000000000000 z) (/.f64 -27648536961327461428716389/6250000000000000000000 (pow.f64 z 3)))) (/.f64 -69099129785032901121487187/6250000000000000000000 (pow.f64 z 4)))
(+.f64 (-.f64 (/.f64 -15176929548346663410362579/25000000000000000000000 z) (/.f64 10432597066258314615852833/6250000000000000000000 (*.f64 z z))) (-.f64 (/.f64 -27648536961327461428716389/6250000000000000000000 (pow.f64 z 3)) (/.f64 69099129785032901121487187/6250000000000000000000 (pow.f64 z 4))))
(+.f64 (+.f64 (/.f64 -10432597066258314615852833/6250000000000000000000 (*.f64 z z)) (/.f64 -15176929548346663410362579/25000000000000000000000 z)) (+.f64 (/.f64 -69099129785032901121487187/6250000000000000000000 (pow.f64 z 4)) (/.f64 -27648536961327461428716389/6250000000000000000000 (pow.f64 z 3))))
(/.f64 -15176929548346663410362579/25000000000000000000000 z)
(neg.f64 (+.f64 (.f64 10432597066258314615852833/6250000000000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 15176929548346663410362579/25000000000000000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (/.f64 10432597066258314615852833/6250000000000000000000 (*.f64 z z)) (/.f64 15176929548346663410362579/25000000000000000000000 z)))
(+.f64 (/.f64 -10432597066258314615852833/6250000000000000000000 (*.f64 z z)) (/.f64 -15176929548346663410362579/25000000000000000000000 z))
(-.f64 (/.f64 -15176929548346663410362579/25000000000000000000000 z) (/.f64 10432597066258314615852833/6250000000000000000000 (*.f64 z z)))
(neg.f64 (+.f64 (.f64 10432597066258314615852833/6250000000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 27648536961327461428716389/6250000000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 15176929548346663410362579/25000000000000000000000 (/.f64 1 z)))))
(neg.f64 (+.f64 (/.f64 10432597066258314615852833/6250000000000000000000 (*.f64 z z)) (+.f64 (/.f64 15176929548346663410362579/25000000000000000000000 z) (/.f64 27648536961327461428716389/6250000000000000000000 (pow.f64 z 3)))))
(-.f64 (/.f64 -10432597066258314615852833/6250000000000000000000 (*.f64 z z)) (+.f64 (/.f64 15176929548346663410362579/25000000000000000000000 z) (/.f64 27648536961327461428716389/6250000000000000000000 (pow.f64 z 3))))
(+.f64 (/.f64 -10432597066258314615852833/6250000000000000000000 (*.f64 z z)) (+.f64 (/.f64 -15176929548346663410362579/25000000000000000000000 z) (/.f64 -27648536961327461428716389/6250000000000000000000 (pow.f64 z 3))))
(+.f64 (-.f64 (/.f64 -15176929548346663410362579/25000000000000000000000 z) (/.f64 10432597066258314615852833/6250000000000000000000 (*.f64 z z))) (/.f64 -27648536961327461428716389/6250000000000000000000 (pow.f64 z 3)))
(neg.f64 (+.f64 (.f64 10432597066258314615852833/6250000000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 69099129785032901121487187/6250000000000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 27648536961327461428716389/6250000000000000000000 (/.f64 1 (pow.f64 z 3))) (.f64 15176929548346663410362579/25000000000000000000000 (/.f64 1 z))))))
(neg.f64 (+.f64 (/.f64 10432597066258314615852833/6250000000000000000000 (*.f64 z z)) (+.f64 (+.f64 (/.f64 15176929548346663410362579/25000000000000000000000 z) (/.f64 27648536961327461428716389/6250000000000000000000 (pow.f64 z 3))) (/.f64 69099129785032901121487187/6250000000000000000000 (pow.f64 z 4)))))
(-.f64 (/.f64 -10432597066258314615852833/6250000000000000000000 (*.f64 z z)) (+.f64 (/.f64 27648536961327461428716389/6250000000000000000000 (pow.f64 z 3)) (+.f64 (/.f64 15176929548346663410362579/25000000000000000000000 z) (/.f64 69099129785032901121487187/6250000000000000000000 (pow.f64 z 4)))))
(+.f64 (+.f64 (/.f64 -10432597066258314615852833/6250000000000000000000 (*.f64 z z)) (+.f64 (/.f64 -15176929548346663410362579/25000000000000000000000 z) (/.f64 -27648536961327461428716389/6250000000000000000000 (pow.f64 z 3)))) (/.f64 -69099129785032901121487187/6250000000000000000000 (pow.f64 z 4)))
(+.f64 (-.f64 (/.f64 -15176929548346663410362579/25000000000000000000000 z) (/.f64 10432597066258314615852833/6250000000000000000000 (*.f64 z z))) (-.f64 (/.f64 -27648536961327461428716389/6250000000000000000000 (pow.f64 z 3)) (/.f64 69099129785032901121487187/6250000000000000000000 (pow.f64 z 4))))
(+.f64 (+.f64 (/.f64 -10432597066258314615852833/6250000000000000000000 (*.f64 z z)) (/.f64 -15176929548346663410362579/25000000000000000000000 z)) (+.f64 (/.f64 -69099129785032901121487187/6250000000000000000000 (pow.f64 z 4)) (/.f64 -27648536961327461428716389/6250000000000000000000 (pow.f64 z 3))))

localize185.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.0b	(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
	1.0b	(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
✓	1.1b	(fma.f64 (/.f64 1 (-.f64 2 z)) -3147848041806007/2500000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))

Compiler

Compiled 512 to 392 computations (23.4% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

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

0.0ms

inf

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

0.0ms

-inf

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

rewrite64.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

607×	`unpow-prod-down_binary64`
472×	`log-prod_binary64`
302×	`pow2_binary64`
284×	`prod-diff_binary64`
211×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	17
1	249	16
2	3061	16

Stop Event

1×	node limit

Counts

1 → 36

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 1) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 2) (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (sqrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2) (pow.f64 (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 2)) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2) (sqrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) 1/3) (cbrt.f64 (sqrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) 2) 3) (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 3) (pow.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 3)) (+.f64 (pow.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 2) (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) 2)) (*.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 2) (/.f64 45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) 2))) (-.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (exp.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (exp.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 1 (expm1.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 1))))))

simplify56.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

721×	`associate-l_binary64`
624×	`associate-/r*_binary64`
624×	`fma-def_binary64`
557×	`associate-/r/_binary64`
486×	`associate-r_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	38	183
1	95	177
2	220	177
3	556	171
4	1413	168
5	5754	168
6	7193	168

Stop Event

1×	node limit

Counts

48 → 50

Calls

Call 1

Inputs
469507597606837/10000000000000
(+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))
(+.f64 (.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 z)))
(+.f64 (.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 (.f64 23912966683069397/40000000000000 (pow.f64 z 3)) (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))))
(/.f64 5826188486005177/10000000000000 z)
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3)))))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 93965933656573373/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))))))
(/.f64 5826188486005177/10000000000000 z)
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3)))))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 93965933656573373/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))))))

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))
(fma.f64 904338909853211/2500000000000 z (fma.f64 z (*.f64 z 2076511864126339/4000000000000) 469507597606837/10000000000000))
(fma.f64 z (fma.f64 z 2076511864126339/4000000000000 904338909853211/2500000000000) 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)))
(fma.f64 z (*.f64 z 2076511864126339/4000000000000) (fma.f64 23912966683069397/40000000000000 (pow.f64 z 3) (fma.f64 904338909853211/2500000000000 z 469507597606837/10000000000000)))
(fma.f64 z (*.f64 z (fma.f64 z 23912966683069397/40000000000000 2076511864126339/4000000000000)) (fma.f64 904338909853211/2500000000000 z 469507597606837/10000000000000))
(fma.f64 z (fma.f64 z (fma.f64 z 23912966683069397/40000000000000 2076511864126339/4000000000000) 904338909853211/2500000000000) 469507597606837/10000000000000)
(/.f64 5826188486005177/10000000000000 z)
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (/.f64 5826188486005177/10000000000000 z))
(*.f64 (/.f64 1 z) (+.f64 (/.f64 3683516130645841/2000000000000 z) 5826188486005177/10000000000000))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3)))))
(+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3))))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 93965933656573373/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))))))
(+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (+.f64 (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3))) (/.f64 93965933656573373/10000000000000 (pow.f64 z 4))))
(+.f64 (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)) (+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 93965933656573373/10000000000000 (pow.f64 z 4)))))
(+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (+.f64 (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)) (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 93965933656573373/10000000000000 (pow.f64 z 4)))))
(+.f64 (/.f64 3683516130645841/2000000000000 (.f64 z z)) (+.f64 (/.f64 5826188486005177/10000000000000 z) (.f64 (/.f64 1 (pow.f64 z 3)) (+.f64 (/.f64 93965933656573373/10000000000000 z) 43600364987677261/10000000000000))))
(/.f64 5826188486005177/10000000000000 z)
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (/.f64 5826188486005177/10000000000000 z))
(*.f64 (/.f64 1 z) (+.f64 (/.f64 3683516130645841/2000000000000 z) 5826188486005177/10000000000000))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3)))))
(+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3))))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 93965933656573373/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))))))
(+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (+.f64 (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3))) (/.f64 93965933656573373/10000000000000 (pow.f64 z 4))))
(+.f64 (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)) (+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 93965933656573373/10000000000000 (pow.f64 z 4)))))
(+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (+.f64 (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)) (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 93965933656573373/10000000000000 (pow.f64 z 4)))))
(+.f64 (/.f64 3683516130645841/2000000000000 (.f64 z z)) (+.f64 (/.f64 5826188486005177/10000000000000 z) (.f64 (/.f64 1 (pow.f64 z 3)) (+.f64 (/.f64 93965933656573373/10000000000000 z) 43600364987677261/10000000000000))))

eval732.0ms (0.8%)

Compiler: Compiled 44767 to 34465 computations (23% saved)

prune173.0ms (0.2%)

Pruning

63 alts after pruning (55 fresh and 8 done)

	Pruned	Kept	Total
New	691	20	711
Fresh	13	35	48
Picked	0	1	1
Done	1	7	8
Total	705	63	768

Error

0.0b

Counts

768 → 63

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.8b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (.f64 7713234287776531/10000000000000 (/.f64 1 (-.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))))))
	34.8b	(.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 (exp.f64 (log.f64 (neg.f64 z))) 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)))))
	3.7b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/4) 1) (/.f64 (exp.f64 -15/4) z)))))
	0.7b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (-.f64 (.f64 -5826188486005177/12591392167224028 z) 469507597606837/6295696083612014) (.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) (-.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))))))
✓	2.5b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 z))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
✓	3.0b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))
	62.7b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 -15176929548346663410362579/25000000000000000000000 z)) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
✓	0.7b	(.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))))))
	1.7b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) 2))) (+.f64 (neg.f64 z) 2)) (.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) -3147848041806007/2500000000000)) (*.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (neg.f64 z) 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 (neg.f64 z) 8)))))
	3.0b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 1 z) (exp.f64 -15/2)))))
	2.1b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 904816194325545171523082059/4200000000000000000000000 (.f64 z (+.f64 17677775146260978562117317613/235200000000000000000000000 (.f64 z (+.f64 3071077024184708161128044520019/118540800000000000000000000000 (.f64 z 58765508066033148908734538123333/6638284800000000000000000000000))))))) (.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
	3.0b	(.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (exp.f64 -15/2))))
	1.0b	(.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 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
	1.0b	(.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 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 2) (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (+.f64 (neg.f64 z) 2) 2))) (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 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)))))
	3.1b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 1 (/.f64 z (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))))))
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✓	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 (fma.f64 (/.f64 1 (-.f64 2 z)) -3147848041806007/2500000000000 (/.f64 6765203681218851/10000000000000 (-.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))))))
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	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 1 z) (.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) 6765203681218851/10000000000000)) (.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) (-.f64 1 z)))) (+.f64 (+.f64 (.f64 7713234287776531/10000000000000 (/.f64 1 (-.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))))))
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	63.5b	(.f64 -1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2)))) z) (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64)))))
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✓	3.0b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 z (exp.f64 -15/2)))))
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Compiler

Compiled 3718 to 3115 computations (16.2% saved)

regimes265.0ms (0.3%)

Counts

106 → 1

Calls

Call 1

Inputs
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(/.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) 1106209385320415913103082059/4200000000000000000000000) (.f64 z (exp.f64 15/2)))
(/.f64 (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sqrt.f64 (.f64 (PI.f64) 2))) (.f64 z (exp.f64 15/2)))
(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (.f64 z (exp.f64 15/2)) 4200000000000000000000000/1106209385320415913103082059))
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(/.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))) z)
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(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.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 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 2) (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (+.f64 (neg.f64 z) 2) 2))) (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 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 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (pow.f64 (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (log.f64 (exp.f64 (+.f64 (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851) (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007)))) (.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) (-.f64 10000000000000/6765203681218851 (/.f64 z 6765203681218851/10000000000000))))) (+.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 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 2 (PI.f64))) 2)) (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 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 2 (PI.f64))) 2)) (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))))))

Outputs

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

Calls

2 calls:

49.0ms

(*.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)))))

44.0ms

Results

Error	Segments	Branch
0.6b	1	`z`
0.6b	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 6774 to 5323 computations (21.4% saved)

regimes218.0ms (0.2%)

Counts

92 → 1

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (exp.f64 -15/2))))
(/.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) 1106209385320415913103082059/4200000000000000000000000) (.f64 z (exp.f64 15/2)))
(/.f64 (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sqrt.f64 (.f64 (PI.f64) 2))) (.f64 z (exp.f64 15/2)))
(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (.f64 z (exp.f64 15/2)) 4200000000000000000000000/1106209385320415913103082059))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) z)))
(/.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))) z)
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 z (exp.f64 -15/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 1 (/.f64 z (exp.f64 -15/2))))))
(+.f64 0 (.f64 (.f64 (exp.f64 -15/2) (/.f64 1106209385320415913103082059/4200000000000000000000000 z)) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 1 z) (exp.f64 -15/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 1 (/.f64 z (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))))))
(+.f64 0 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (.f64 (PI.f64) 2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 -15/2) (+.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) 441081074802767819940949738751/705600000000000000000000000))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 469507597606837/10000000000000) (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (/.f64 (exp.f64 -15/2) z))))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 15/2) (/.f64 z (sqrt.f64 2)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 15/2)) z) (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64)))))
(.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 15/2) (/.f64 z (sqrt.f64 (PI.f64)))) (*.f64 (sqrt.f64 2) (exp.f64 -15/2))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (exp.f64 -15/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (fabs.f64 (/.f64 (exp.f64 -15/2) z)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (sqrt.f64 (exp.f64 -15)) (/.f64 -1106209385320415913103082059/4200000000000000000000000 z))))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))))))
(sqrt.f64 (.f64 (.f64 (PI.f64) 2) (pow.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (exp.f64 -15/2) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) 2)))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (/.f64 (exp.f64 -15) (*.f64 z z))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/4) 1) (/.f64 (exp.f64 -15/4) z)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (log.f64 (exp.f64 (/.f64 (exp.f64 -15/2) z))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (log.f64 (exp.f64 (/.f64 (exp.f64 -15/2) z))))))
(cbrt.f64 (pow.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (.f64 (PI.f64) 2)))) 3))
(.f64 -1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2)))) z) (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 255237898068937946539631952839/705600000000000000000000000 (exp.f64 -15/2)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 6493665628732592227/30000000000000000 (/.f64 (.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (sin.f64 (.f64 z (PI.f64)))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (/.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64))) (+.f64 (/.f64 14568935239021264214637421/25000000000000000000000 z) 6493665628732592227/30000000000000000))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 z))) 904816194325545171523082059/4200000000000000000000000) (.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 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 z))) (+.f64 904816194325545171523082059/4200000000000000000000000 (.f64 17677775146260978562117317613/235200000000000000000000000 z))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
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(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.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 (pow.f64 (-.f64 1 z) 2) -1) (+.f64 (neg.f64 z) 2)) 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 (-.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 (.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) 2))) (+.f64 (neg.f64 z) 2)) (.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) -3147848041806007/2500000000000)) (*.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (neg.f64 z) 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 (neg.f64 z) 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 (-.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 (.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) 2))) (+.f64 (neg.f64 z) 2)) (.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) -3147848041806007/2500000000000)) (*.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (neg.f64 z) 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 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (+.f64 1 (+.f64 (neg.f64 z) -1)) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) 2))) (+.f64 (neg.f64 z) 2)) (.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) -3147848041806007/2500000000000)) (*.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (neg.f64 z) 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 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (fma.f64 (/.f64 1 (-.f64 2 z)) -3147848041806007/2500000000000 (/.f64 6765203681218851/10000000000000 (-.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))))))
(.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 (expm1.f64 (log1p.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (pow.f64 (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 3)) (+.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 (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 2 (PI.f64)))) 3) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))

Outputs

(*.f64 (*.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 1 (-.f64 3 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))

Calls

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)))))

38.0ms

Results

Error	Segments	Branch
0.6b	1	`z`
0.6b	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 5383 to 4204 computations (21.9% saved)

regimes173.0ms (0.2%)

Counts

79 → 1

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (exp.f64 -15/2))))
(/.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) 1106209385320415913103082059/4200000000000000000000000) (.f64 z (exp.f64 15/2)))
(/.f64 (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sqrt.f64 (.f64 (PI.f64) 2))) (.f64 z (exp.f64 15/2)))
(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (.f64 z (exp.f64 15/2)) 4200000000000000000000000/1106209385320415913103082059))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) z)))
(/.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))) z)
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 z (exp.f64 -15/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 1 (/.f64 z (exp.f64 -15/2))))))
(+.f64 0 (.f64 (.f64 (exp.f64 -15/2) (/.f64 1106209385320415913103082059/4200000000000000000000000 z)) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 1 z) (exp.f64 -15/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 1 (/.f64 z (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))))))
(+.f64 0 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (.f64 (PI.f64) 2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 -15/2) (+.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) 441081074802767819940949738751/705600000000000000000000000))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 469507597606837/10000000000000) (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (/.f64 (exp.f64 -15/2) z))))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 15/2) (/.f64 z (sqrt.f64 2)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 15/2)) z) (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64)))))
(.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 15/2) (/.f64 z (sqrt.f64 (PI.f64)))) (*.f64 (sqrt.f64 2) (exp.f64 -15/2))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (exp.f64 -15/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (fabs.f64 (/.f64 (exp.f64 -15/2) z)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (sqrt.f64 (exp.f64 -15)) (/.f64 -1106209385320415913103082059/4200000000000000000000000 z))))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))))))
(sqrt.f64 (.f64 (.f64 (PI.f64) 2) (pow.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (exp.f64 -15/2) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) 2)))
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Outputs

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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)))))

33.0ms

Results

Error	Segments	Branch
0.7b	1	`z`
0.7b	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 4111 to 3198 computations (22.2% saved)

regimes78.0ms (0.1%)

Counts

59 → 1

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (exp.f64 -15/2))))
(/.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) 1106209385320415913103082059/4200000000000000000000000) (.f64 z (exp.f64 15/2)))
(/.f64 (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sqrt.f64 (.f64 (PI.f64) 2))) (.f64 z (exp.f64 15/2)))
(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (.f64 z (exp.f64 15/2)) 4200000000000000000000000/1106209385320415913103082059))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) z)))
(/.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))) z)
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 z (exp.f64 -15/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 1 (/.f64 z (exp.f64 -15/2))))))
(+.f64 0 (.f64 (.f64 (exp.f64 -15/2) (/.f64 1106209385320415913103082059/4200000000000000000000000 z)) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 1 z) (exp.f64 -15/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 1 (/.f64 z (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))))))
(+.f64 0 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (.f64 (PI.f64) 2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 -15/2) (+.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) 441081074802767819940949738751/705600000000000000000000000))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 469507597606837/10000000000000) (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (/.f64 (exp.f64 -15/2) z))))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 15/2) (/.f64 z (sqrt.f64 2)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 15/2)) z) (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64)))))
(.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 15/2) (/.f64 z (sqrt.f64 (PI.f64)))) (*.f64 (sqrt.f64 2) (exp.f64 -15/2))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (exp.f64 -15/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (fabs.f64 (/.f64 (exp.f64 -15/2) z)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (sqrt.f64 (exp.f64 -15)) (/.f64 -1106209385320415913103082059/4200000000000000000000000 z))))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))))))
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(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (/.f64 (exp.f64 -15) (*.f64 z z))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/4) 1) (/.f64 (exp.f64 -15/4) z)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (log.f64 (exp.f64 (/.f64 (exp.f64 -15/2) z))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (log.f64 (exp.f64 (/.f64 (exp.f64 -15/2) z))))))
(cbrt.f64 (pow.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (.f64 (PI.f64) 2)))) 3))
(.f64 -1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2)))) z) (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 255237898068937946539631952839/705600000000000000000000000 (exp.f64 -15/2)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 6493665628732592227/30000000000000000 (/.f64 (.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (sin.f64 (.f64 z (PI.f64)))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (/.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64))) (+.f64 (/.f64 14568935239021264214637421/25000000000000000000000 z) 6493665628732592227/30000000000000000))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 z))) 904816194325545171523082059/4200000000000000000000000) (.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 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 z))) (+.f64 904816194325545171523082059/4200000000000000000000000 (.f64 17677775146260978562117317613/235200000000000000000000000 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)))) 646366562873259793/3000000000000000) (.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)))) 904816194325545171523082059/4200000000000000000000000) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
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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 469507597606837/10000000000000) (+.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))))))
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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 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))))))
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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 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 z))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 z))) (.f64 1 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 7713234287776531/30000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 (-.f64 1 z) (.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) 6765203681218851/10000000000000)) (.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) (-.f64 1 z)))) (+.f64 (+.f64 646366562873259793/3000000000000000 (.f64 6764801184542762983/90000000000000000 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))) (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 -121443148578839881/200000000000000 z) (.f64 (/.f64 (/.f64 1 z) z) (+.f64 (/.f64 177150158974872037/40000000000000 z) 66801875443113257/40000000000000))) (+.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 3683516130645841/2000000000000 (.f64 z z)) (/.f64 5826188486005177/10000000000000 z))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (.f64 1 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(.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 1 (-.f64 3 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (-.f64 (.f64 -5826188486005177/12591392167224028 z) 469507597606837/6295696083612014) (.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) (-.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))))))

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 (*.f64 -5826188486005177/12591392167224028 z) 469507597606837/6295696083612014) (*.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) (-.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))))))

Calls

1 calls:

25.0ms

Results

Error	Segments	Branch
0.7b	1	`z`

Compiler

Compiled 2155 to 1631 computations (24.3% saved)

regimes76.0ms (0.1%)

Counts

58 → 1

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (exp.f64 -15/2))))
(/.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) 1106209385320415913103082059/4200000000000000000000000) (.f64 z (exp.f64 15/2)))
(/.f64 (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sqrt.f64 (.f64 (PI.f64) 2))) (.f64 z (exp.f64 15/2)))
(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (.f64 z (exp.f64 15/2)) 4200000000000000000000000/1106209385320415913103082059))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) z)))
(/.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))) z)
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 z (exp.f64 -15/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 1 (/.f64 z (exp.f64 -15/2))))))
(+.f64 0 (.f64 (.f64 (exp.f64 -15/2) (/.f64 1106209385320415913103082059/4200000000000000000000000 z)) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 1 z) (exp.f64 -15/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 1 (/.f64 z (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))))))
(+.f64 0 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (.f64 (PI.f64) 2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 -15/2) (+.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) 441081074802767819940949738751/705600000000000000000000000))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 469507597606837/10000000000000) (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (/.f64 (exp.f64 -15/2) z))))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 15/2) (/.f64 z (sqrt.f64 2)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 15/2)) z) (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64)))))
(.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 15/2) (/.f64 z (sqrt.f64 (PI.f64)))) (*.f64 (sqrt.f64 2) (exp.f64 -15/2))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (exp.f64 -15/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (fabs.f64 (/.f64 (exp.f64 -15/2) z)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (sqrt.f64 (exp.f64 -15)) (/.f64 -1106209385320415913103082059/4200000000000000000000000 z))))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))))))
(sqrt.f64 (.f64 (.f64 (PI.f64) 2) (pow.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (exp.f64 -15/2) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) 2)))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (/.f64 (exp.f64 -15) (*.f64 z z))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/4) 1) (/.f64 (exp.f64 -15/4) z)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (log.f64 (exp.f64 (/.f64 (exp.f64 -15/2) z))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (log.f64 (exp.f64 (/.f64 (exp.f64 -15/2) z))))))
(cbrt.f64 (pow.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (.f64 (PI.f64) 2)))) 3))
(.f64 -1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2)))) z) (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 255237898068937946539631952839/705600000000000000000000000 (exp.f64 -15/2)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 6493665628732592227/30000000000000000 (/.f64 (.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (sin.f64 (.f64 z (PI.f64)))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (/.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64))) (+.f64 (/.f64 14568935239021264214637421/25000000000000000000000 z) 6493665628732592227/30000000000000000))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 z))) 904816194325545171523082059/4200000000000000000000000) (.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 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 z))) (+.f64 904816194325545171523082059/4200000000000000000000000 (.f64 17677775146260978562117317613/235200000000000000000000000 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)))) 646366562873259793/3000000000000000) (.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)))) 904816194325545171523082059/4200000000000000000000000) (.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 -15176929548346663410362579/25000000000000000000000 z)) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 904816194325545171523082059/4200000000000000000000000 (.f64 17677775146260978562117317613/235200000000000000000000000 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 469507597606837/10000000000000) (+.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 -10432597066258314615852833/6250000000000000000000 (.f64 z z)) (/.f64 -15176929548346663410362579/25000000000000000000000 z))) (.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 904816194325545171523082059/4200000000000000000000000 (.f64 z (+.f64 17677775146260978562117317613/235200000000000000000000000 (.f64 z (+.f64 3071077024184708161128044520019/118540800000000000000000000000 (.f64 z 58765508066033148908734538123333/6638284800000000000000000000000))))))) (.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 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 z))) (+.f64 (+.f64 646366562873259793/3000000000000000 (.f64 6764801184542762983/90000000000000000 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))) (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 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 -121443148578839881/200000000000000 z) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (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 6764801184542762983/90000000000000000 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))) (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 -66801875443113257/40000000000000 (.f64 z z)) (/.f64 -121443148578839881/200000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (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 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 z))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 z))) (.f64 1 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 7713234287776531/30000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 (-.f64 1 z) (.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) 6765203681218851/10000000000000)) (.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) (-.f64 1 z)))) (+.f64 (+.f64 646366562873259793/3000000000000000 (.f64 6764801184542762983/90000000000000000 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))) (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 -121443148578839881/200000000000000 z) (.f64 (/.f64 (/.f64 1 z) z) (+.f64 (/.f64 177150158974872037/40000000000000 z) 66801875443113257/40000000000000))) (+.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 3683516130645841/2000000000000 (.f64 z z)) (/.f64 5826188486005177/10000000000000 z))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (.f64 1 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(.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 1 (-.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 1 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))

Calls

1 calls:

25.0ms

Results

Error	Segments	Branch
0.7b	1	`z`

Compiler

Compiled 2077 to 1572 computations (24.3% saved)

regimes77.0ms (0.1%)

Counts

56 → 1

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (exp.f64 -15/2))))
(/.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) 1106209385320415913103082059/4200000000000000000000000) (.f64 z (exp.f64 15/2)))
(/.f64 (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sqrt.f64 (.f64 (PI.f64) 2))) (.f64 z (exp.f64 15/2)))
(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (.f64 z (exp.f64 15/2)) 4200000000000000000000000/1106209385320415913103082059))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) z)))
(/.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))) z)
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 z (exp.f64 -15/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 1 (/.f64 z (exp.f64 -15/2))))))
(+.f64 0 (.f64 (.f64 (exp.f64 -15/2) (/.f64 1106209385320415913103082059/4200000000000000000000000 z)) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 1 z) (exp.f64 -15/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 1 (/.f64 z (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))))))
(+.f64 0 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (.f64 (PI.f64) 2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 -15/2) (+.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) 441081074802767819940949738751/705600000000000000000000000))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 469507597606837/10000000000000) (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (/.f64 (exp.f64 -15/2) z))))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 15/2) (/.f64 z (sqrt.f64 2)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 15/2)) z) (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64)))))
(.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 15/2) (/.f64 z (sqrt.f64 (PI.f64)))) (*.f64 (sqrt.f64 2) (exp.f64 -15/2))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (exp.f64 -15/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (fabs.f64 (/.f64 (exp.f64 -15/2) z)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (sqrt.f64 (exp.f64 -15)) (/.f64 -1106209385320415913103082059/4200000000000000000000000 z))))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))))))
(sqrt.f64 (.f64 (.f64 (PI.f64) 2) (pow.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (exp.f64 -15/2) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) 2)))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (/.f64 (exp.f64 -15) (*.f64 z z))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/4) 1) (/.f64 (exp.f64 -15/4) z)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (log.f64 (exp.f64 (/.f64 (exp.f64 -15/2) z))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (log.f64 (exp.f64 (/.f64 (exp.f64 -15/2) z))))))
(cbrt.f64 (pow.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (.f64 (PI.f64) 2)))) 3))
(.f64 -1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2)))) z) (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 255237898068937946539631952839/705600000000000000000000000 (exp.f64 -15/2)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 6493665628732592227/30000000000000000 (/.f64 (.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (sin.f64 (.f64 z (PI.f64)))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (/.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64))) (+.f64 (/.f64 14568935239021264214637421/25000000000000000000000 z) 6493665628732592227/30000000000000000))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 z))) 904816194325545171523082059/4200000000000000000000000) (.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 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 z))) (+.f64 904816194325545171523082059/4200000000000000000000000 (.f64 17677775146260978562117317613/235200000000000000000000000 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)))) 646366562873259793/3000000000000000) (.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)))) 904816194325545171523082059/4200000000000000000000000) (.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 -15176929548346663410362579/25000000000000000000000 z)) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 904816194325545171523082059/4200000000000000000000000 (.f64 17677775146260978562117317613/235200000000000000000000000 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 469507597606837/10000000000000) (+.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 -10432597066258314615852833/6250000000000000000000 (.f64 z z)) (/.f64 -15176929548346663410362579/25000000000000000000000 z))) (.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 904816194325545171523082059/4200000000000000000000000 (.f64 z (+.f64 17677775146260978562117317613/235200000000000000000000000 (.f64 z (+.f64 3071077024184708161128044520019/118540800000000000000000000000 (.f64 z 58765508066033148908734538123333/6638284800000000000000000000000))))))) (.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 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 z))) (+.f64 (+.f64 646366562873259793/3000000000000000 (.f64 6764801184542762983/90000000000000000 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))) (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 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 -121443148578839881/200000000000000 z) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (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 6764801184542762983/90000000000000000 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))) (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 -66801875443113257/40000000000000 (.f64 z z)) (/.f64 -121443148578839881/200000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (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 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 z))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 z))) (.f64 1 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 7713234287776531/30000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 (-.f64 1 z) (.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) 6765203681218851/10000000000000)) (.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) (-.f64 1 z)))) (+.f64 (+.f64 646366562873259793/3000000000000000 (.f64 6764801184542762983/90000000000000000 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))) (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 -121443148578839881/200000000000000 z) (.f64 (/.f64 (/.f64 1 z) z) (+.f64 (/.f64 177150158974872037/40000000000000 z) 66801875443113257/40000000000000))) (+.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 3683516130645841/2000000000000 (.f64 z z)) (/.f64 5826188486005177/10000000000000 z))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))

Outputs

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

Calls

1 calls:

29.0ms

Results

Error	Segments	Branch
0.7b	1	`z`

Compiler

Compiled 1925 to 1456 computations (24.4% saved)

regimes70.0ms (0.1%)

Counts

55 → 1

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (exp.f64 -15/2))))
(/.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) 1106209385320415913103082059/4200000000000000000000000) (.f64 z (exp.f64 15/2)))
(/.f64 (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sqrt.f64 (.f64 (PI.f64) 2))) (.f64 z (exp.f64 15/2)))
(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (.f64 z (exp.f64 15/2)) 4200000000000000000000000/1106209385320415913103082059))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) z)))
(/.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))) z)
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 z (exp.f64 -15/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 1 (/.f64 z (exp.f64 -15/2))))))
(+.f64 0 (.f64 (.f64 (exp.f64 -15/2) (/.f64 1106209385320415913103082059/4200000000000000000000000 z)) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 1 z) (exp.f64 -15/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 1 (/.f64 z (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))))))
(+.f64 0 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (.f64 (PI.f64) 2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 -15/2) (+.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) 441081074802767819940949738751/705600000000000000000000000))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 469507597606837/10000000000000) (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (/.f64 (exp.f64 -15/2) z))))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 15/2) (/.f64 z (sqrt.f64 2)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 15/2)) z) (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64)))))
(.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 15/2) (/.f64 z (sqrt.f64 (PI.f64)))) (*.f64 (sqrt.f64 2) (exp.f64 -15/2))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (exp.f64 -15/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (fabs.f64 (/.f64 (exp.f64 -15/2) z)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (sqrt.f64 (exp.f64 -15)) (/.f64 -1106209385320415913103082059/4200000000000000000000000 z))))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))))))
(sqrt.f64 (.f64 (.f64 (PI.f64) 2) (pow.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (exp.f64 -15/2) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) 2)))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (/.f64 (exp.f64 -15) (*.f64 z z))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/4) 1) (/.f64 (exp.f64 -15/4) z)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (log.f64 (exp.f64 (/.f64 (exp.f64 -15/2) z))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (log.f64 (exp.f64 (/.f64 (exp.f64 -15/2) z))))))
(cbrt.f64 (pow.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (.f64 (PI.f64) 2)))) 3))
(.f64 -1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2)))) z) (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 255237898068937946539631952839/705600000000000000000000000 (exp.f64 -15/2)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 6493665628732592227/30000000000000000 (/.f64 (.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (sin.f64 (.f64 z (PI.f64)))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (/.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64))) (+.f64 (/.f64 14568935239021264214637421/25000000000000000000000 z) 6493665628732592227/30000000000000000))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 z))) 904816194325545171523082059/4200000000000000000000000) (.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 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 z))) (+.f64 904816194325545171523082059/4200000000000000000000000 (.f64 17677775146260978562117317613/235200000000000000000000000 z))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
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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)))) 904816194325545171523082059/4200000000000000000000000) (.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 -15176929548346663410362579/25000000000000000000000 z)) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 904816194325545171523082059/4200000000000000000000000 (.f64 17677775146260978562117317613/235200000000000000000000000 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 469507597606837/10000000000000) (+.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 -10432597066258314615852833/6250000000000000000000 (.f64 z z)) (/.f64 -15176929548346663410362579/25000000000000000000000 z))) (.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 904816194325545171523082059/4200000000000000000000000 (.f64 z (+.f64 17677775146260978562117317613/235200000000000000000000000 (.f64 z (+.f64 3071077024184708161128044520019/118540800000000000000000000000 (.f64 z 58765508066033148908734538123333/6638284800000000000000000000000))))))) (.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 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 z))) (+.f64 (+.f64 646366562873259793/3000000000000000 (.f64 6764801184542762983/90000000000000000 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))) (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 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 -121443148578839881/200000000000000 z) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (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 6764801184542762983/90000000000000000 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))) (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 -66801875443113257/40000000000000 (.f64 z z)) (/.f64 -121443148578839881/200000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (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 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 z))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 z))) (.f64 1 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 7713234287776531/30000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 (-.f64 1 z) (.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) 6765203681218851/10000000000000)) (.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) (-.f64 1 z)))) (+.f64 (+.f64 646366562873259793/3000000000000000 (.f64 6764801184542762983/90000000000000000 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))) (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 -121443148578839881/200000000000000 z) (.f64 (/.f64 (/.f64 1 z) z) (+.f64 (/.f64 177150158974872037/40000000000000 z) 66801875443113257/40000000000000))) (+.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 3683516130645841/2000000000000 (.f64 z z)) (/.f64 5826188486005177/10000000000000 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 904816194325545171523082059/4200000000000000000000000 (*.f64 z (+.f64 17677775146260978562117317613/235200000000000000000000000 (*.f64 z (+.f64 3071077024184708161128044520019/118540800000000000000000000000 (*.f64 z 58765508066033148908734538123333/6638284800000000000000000000000))))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))

Calls

1 calls:

24.0ms

Results

Error	Segments	Branch
2.1b	1	`z`

Compiler

Compiled 1851 to 1400 computations (24.4% saved)

regimes46.0ms (0.1%)

Counts

43 → 1

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (exp.f64 -15/2))))
(/.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) 1106209385320415913103082059/4200000000000000000000000) (.f64 z (exp.f64 15/2)))
(/.f64 (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sqrt.f64 (.f64 (PI.f64) 2))) (.f64 z (exp.f64 15/2)))
(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (.f64 z (exp.f64 15/2)) 4200000000000000000000000/1106209385320415913103082059))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) z)))
(/.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))) z)
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 z (exp.f64 -15/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 1 (/.f64 z (exp.f64 -15/2))))))
(+.f64 0 (.f64 (.f64 (exp.f64 -15/2) (/.f64 1106209385320415913103082059/4200000000000000000000000 z)) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 1 z) (exp.f64 -15/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 1 (/.f64 z (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))))))
(+.f64 0 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (.f64 (PI.f64) 2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 -15/2) (+.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) 441081074802767819940949738751/705600000000000000000000000))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 469507597606837/10000000000000) (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (/.f64 (exp.f64 -15/2) z))))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 15/2) (/.f64 z (sqrt.f64 2)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 15/2)) z) (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64)))))
(.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 15/2) (/.f64 z (sqrt.f64 (PI.f64)))) (*.f64 (sqrt.f64 2) (exp.f64 -15/2))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (exp.f64 -15/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (fabs.f64 (/.f64 (exp.f64 -15/2) z)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (sqrt.f64 (exp.f64 -15)) (/.f64 -1106209385320415913103082059/4200000000000000000000000 z))))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))))))
(sqrt.f64 (.f64 (.f64 (PI.f64) 2) (pow.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (exp.f64 -15/2) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) 2)))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (/.f64 (exp.f64 -15) (*.f64 z z))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/4) 1) (/.f64 (exp.f64 -15/4) z)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (log.f64 (exp.f64 (/.f64 (exp.f64 -15/2) z))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (log.f64 (exp.f64 (/.f64 (exp.f64 -15/2) z))))))
(cbrt.f64 (pow.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (.f64 (PI.f64) 2)))) 3))
(.f64 -1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2)))) z) (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 255237898068937946539631952839/705600000000000000000000000 (exp.f64 -15/2)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 6493665628732592227/30000000000000000 (/.f64 (.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (sin.f64 (.f64 z (PI.f64)))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (/.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64))) (+.f64 (/.f64 14568935239021264214637421/25000000000000000000000 z) 6493665628732592227/30000000000000000))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 z))) 904816194325545171523082059/4200000000000000000000000) (.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 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 z))) (+.f64 904816194325545171523082059/4200000000000000000000000 (.f64 17677775146260978562117317613/235200000000000000000000000 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)))) 646366562873259793/3000000000000000) (.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)))) 904816194325545171523082059/4200000000000000000000000) (.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 -15176929548346663410362579/25000000000000000000000 z)) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 904816194325545171523082059/4200000000000000000000000 (.f64 17677775146260978562117317613/235200000000000000000000000 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 469507597606837/10000000000000) (+.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 -10432597066258314615852833/6250000000000000000000 (.f64 z z)) (/.f64 -15176929548346663410362579/25000000000000000000000 z))) (.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))

Outputs

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

Calls

1 calls:

19.0ms

Results

Error	Segments	Branch
2.5b	1	`z`

Compiler

Compiled 1073 to 826 computations (23% saved)

regimes41.0ms (0%)

Counts

40 → 1

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (exp.f64 -15/2))))
(/.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) 1106209385320415913103082059/4200000000000000000000000) (.f64 z (exp.f64 15/2)))
(/.f64 (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sqrt.f64 (.f64 (PI.f64) 2))) (.f64 z (exp.f64 15/2)))
(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (.f64 z (exp.f64 15/2)) 4200000000000000000000000/1106209385320415913103082059))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) z)))
(/.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))) z)
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 z (exp.f64 -15/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 1 (/.f64 z (exp.f64 -15/2))))))
(+.f64 0 (.f64 (.f64 (exp.f64 -15/2) (/.f64 1106209385320415913103082059/4200000000000000000000000 z)) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 1 z) (exp.f64 -15/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 1 (/.f64 z (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))))))
(+.f64 0 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (.f64 (PI.f64) 2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 -15/2) (+.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) 441081074802767819940949738751/705600000000000000000000000))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 469507597606837/10000000000000) (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (/.f64 (exp.f64 -15/2) z))))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 15/2) (/.f64 z (sqrt.f64 2)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 15/2)) z) (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64)))))
(.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 15/2) (/.f64 z (sqrt.f64 (PI.f64)))) (*.f64 (sqrt.f64 2) (exp.f64 -15/2))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (exp.f64 -15/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (fabs.f64 (/.f64 (exp.f64 -15/2) z)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (sqrt.f64 (exp.f64 -15)) (/.f64 -1106209385320415913103082059/4200000000000000000000000 z))))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))))))
(sqrt.f64 (.f64 (.f64 (PI.f64) 2) (pow.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (exp.f64 -15/2) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) 2)))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (/.f64 (exp.f64 -15) (*.f64 z z))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/4) 1) (/.f64 (exp.f64 -15/4) z)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (log.f64 (exp.f64 (/.f64 (exp.f64 -15/2) z))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (log.f64 (exp.f64 (/.f64 (exp.f64 -15/2) z))))))
(cbrt.f64 (pow.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (.f64 (PI.f64) 2)))) 3))
(.f64 -1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2)))) z) (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 255237898068937946539631952839/705600000000000000000000000 (exp.f64 -15/2)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 6493665628732592227/30000000000000000 (/.f64 (.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (sin.f64 (.f64 z (PI.f64)))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (/.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64))) (+.f64 (/.f64 14568935239021264214637421/25000000000000000000000 z) 6493665628732592227/30000000000000000))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 z))) 904816194325545171523082059/4200000000000000000000000) (.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 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 z))) (+.f64 904816194325545171523082059/4200000000000000000000000 (.f64 17677775146260978562117317613/235200000000000000000000000 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)))) 646366562873259793/3000000000000000) (.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)))) 904816194325545171523082059/4200000000000000000000000) (.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 -15176929548346663410362579/25000000000000000000000 z)) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))

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

Calls

1 calls:

16.0ms

Results

Error	Segments	Branch
2.5b	1	`z`

Compiler

Compiled 933 to 728 computations (22% saved)

regimes18.0ms (0%)

Counts

17 → 1

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (exp.f64 -15/2))))
(/.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) 1106209385320415913103082059/4200000000000000000000000) (.f64 z (exp.f64 15/2)))
(/.f64 (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sqrt.f64 (.f64 (PI.f64) 2))) (.f64 z (exp.f64 15/2)))
(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (.f64 z (exp.f64 15/2)) 4200000000000000000000000/1106209385320415913103082059))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) z)))
(/.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))) z)
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 z (exp.f64 -15/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 1 (/.f64 z (exp.f64 -15/2))))))
(+.f64 0 (.f64 (.f64 (exp.f64 -15/2) (/.f64 1106209385320415913103082059/4200000000000000000000000 z)) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 1 z) (exp.f64 -15/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 1 (/.f64 z (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))))))
(+.f64 0 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (.f64 (PI.f64) 2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 -15/2) (+.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) 441081074802767819940949738751/705600000000000000000000000))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 469507597606837/10000000000000) (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (/.f64 (exp.f64 -15/2) z))))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 15/2) (/.f64 z (sqrt.f64 2)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 15/2)) z) (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64)))))

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

Calls

1 calls:

8.0ms

Results

Error	Segments	Branch
2.6b	1	`z`

Compiler

Compiled 352 to 285 computations (19% saved)

regimes16.0ms (0%)

Counts

16 → 1

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (exp.f64 -15/2))))
(/.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) 1106209385320415913103082059/4200000000000000000000000) (.f64 z (exp.f64 15/2)))
(/.f64 (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sqrt.f64 (.f64 (PI.f64) 2))) (.f64 z (exp.f64 15/2)))
(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (.f64 z (exp.f64 15/2)) 4200000000000000000000000/1106209385320415913103082059))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) z)))
(/.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))) z)
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 z (exp.f64 -15/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 1 (/.f64 z (exp.f64 -15/2))))))
(+.f64 0 (.f64 (.f64 (exp.f64 -15/2) (/.f64 1106209385320415913103082059/4200000000000000000000000 z)) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 1 z) (exp.f64 -15/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 1 (/.f64 z (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))))))
(+.f64 0 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (.f64 (PI.f64) 2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 -15/2) (+.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) 441081074802767819940949738751/705600000000000000000000000))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 469507597606837/10000000000000) (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (/.f64 (exp.f64 -15/2) z))))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 15/2) (/.f64 z (sqrt.f64 2)))))

Outputs

(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 -15/2) (+.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) 441081074802767819940949738751/705600000000000000000000000))))

Calls

1 calls:

7.0ms

Results

Error	Segments	Branch
2.8b	1	`z`

Compiler

Compiled 337 to 272 computations (19.3% saved)

regimes14.0ms (0%)

Counts

13 → 1

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (exp.f64 -15/2))))
(/.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) 1106209385320415913103082059/4200000000000000000000000) (.f64 z (exp.f64 15/2)))
(/.f64 (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sqrt.f64 (.f64 (PI.f64) 2))) (.f64 z (exp.f64 15/2)))
(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (.f64 z (exp.f64 15/2)) 4200000000000000000000000/1106209385320415913103082059))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) z)))
(/.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))) z)
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 z (exp.f64 -15/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 1 (/.f64 z (exp.f64 -15/2))))))
(+.f64 0 (.f64 (.f64 (exp.f64 -15/2) (/.f64 1106209385320415913103082059/4200000000000000000000000 z)) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 1 z) (exp.f64 -15/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 1 (/.f64 z (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))))))
(+.f64 0 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (.f64 (PI.f64) 2)))))

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

Calls

1 calls:

6.0ms

Results

Error	Segments	Branch
3.0b	1	`z`

Compiler

Compiled 260 to 208 computations (20% saved)

regimes8.0ms (0%)

Accuracy

Total -0.7b remaining (-24.4%)

Threshold costs -0.7b (-24.4%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
3.0b	1	`z`

Compiler

Compiled 117 to 93 computations (20.5% saved)

simplify38.0ms (0%)

Algorithm

1×	egg-herbie

Rules

57×	`*-commutative_binary64`
45×	`+-commutative_binary64`
17×	`sub-neg_binary64`
3×	`neg-sub0_binary64`
3×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	162	1011
1	268	1011
2	291	1011
3	297	1011
4	300	1011

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.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 (fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (+.f64 (.f64 7713234287776531/10000000000000 (/.f64 1 (-.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 (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 1 (-.f64 3 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (-.f64 (.f64 -14565471215012942500000000000/21295833160343550136109053437957 z) 2347537988034185000000000000/21295833160343550136109053437957) (.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) (-.f64 10000000000000/6765203681218851 (/.f64 z 6765203681218851/10000000000000))))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (-.f64 (.f64 -5826188486005177/12591392167224028 z) 469507597606837/6295696083612014) (.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) (-.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))))))
(.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 1 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 904816194325545171523082059/4200000000000000000000000 (.f64 z (+.f64 17677775146260978562117317613/235200000000000000000000000 (.f64 z (+.f64 3071077024184708161128044520019/118540800000000000000000000000 (.f64 z 58765508066033148908734538123333/6638284800000000000000000000000))))))) (.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 904816194325545171523082059/4200000000000000000000000 (.f64 17677775146260978562117317613/235200000000000000000000000 z))) (.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 15/2)) z) (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 -15/2) (+.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) 441081074802767819940949738751/705600000000000000000000000))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (exp.f64 -15/2))))

Outputs
(.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 (fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (+.f64 (.f64 7713234287776531/10000000000000 (/.f64 1 (-.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 (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 1 (-.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 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))) (+.f64 (+.f64 (+.f64 (*.f64 7713234287776531/10000000000000 (/.f64 1 (-.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 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 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 -14565471215012942500000000000/21295833160343550136109053437957 z) 2347537988034185000000000000/21295833160343550136109053437957) (.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) (-.f64 10000000000000/6765203681218851 (/.f64 z 6765203681218851/10000000000000))))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 (.f64 z -14565471215012942500000000000/21295833160343550136109053437957) -2347537988034185000000000000/21295833160343550136109053437957) (.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) (-.f64 10000000000000/6765203681218851 (/.f64 z 6765203681218851/10000000000000))))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 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 -5826188486005177/12591392167224028 z) 469507597606837/6295696083612014) (.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) (-.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))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 (.f64 z -5826188486005177/12591392167224028) -469507597606837/6295696083612014) (.f64 (-.f64 1 z) (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)))))))))
(.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 1 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 904816194325545171523082059/4200000000000000000000000 (.f64 z (+.f64 17677775146260978562117317613/235200000000000000000000000 (.f64 z (+.f64 3071077024184708161128044520019/118540800000000000000000000000 (.f64 z 58765508066033148908734538123333/6638284800000000000000000000000))))))) (.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 904816194325545171523082059/4200000000000000000000000 (.f64 z (+.f64 17677775146260978562117317613/235200000000000000000000000 (.f64 z (+.f64 3071077024184708161128044520019/118540800000000000000000000000 (*.f64 z 58765508066033148908734538123333/6638284800000000000000000000000))))))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 904816194325545171523082059/4200000000000000000000000 (.f64 17677775146260978562117317613/235200000000000000000000000 z))) (.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 z 17677775146260978562117317613/235200000000000000000000000))))))
(.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))))
(.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (.f64 (exp.f64 -15/2) (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (sqrt.f64 15/2))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 15/2)) z) (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 15/2)) z) (sqrt.f64 (.f64 (PI.f64) (exp.f64 -15)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 -15/2) (+.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) 441081074802767819940949738751/705600000000000000000000000))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (exp.f64 -15/2))))

Compiler

Compiled 659 to 542 computations (17.8% saved)

soundness278.0ms (0.3%)

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 10126 to 8768 computations (13.4% saved)

end254.0ms (0.3%)

Compiler: Compiled 647 to 495 computations (23.5% saved)