Details

analyze1.7s (3.4%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	199.9%	-99.9%	0%	0%	0%	1
0%	0%	399.8%	-299.8%	0%	0%	0%	2
0%	0%	799.6%	-699.6%	0%	0%	0%	3
0%	0%	1599.2%	-1499.2%	0%	0%	0%	4
0%	0%	3198.4%	-3098.4%	0%	0%	0%	5
0%	0%	6396.9%	-6296.9%	0%	0%	0%	6
0%	0%	12793.8%	-12693.8%	0%	0%	0%	7
0%	0%	25587.5%	-25487.5%	0%	0%	0%	8
0%	0%	51175%	-51075%	0%	0%	0%	9
0%	0%	102350%	-102250%	0%	0%	0%	10
0%	0%	204700%	-204600%	0%	0%	0%	11
0%	0%	409400%	-409300%	0%	0%	0%	12

Compiler

Compiled 98 to 86 computations (12.2% saved)

sample16.0s (32.5%)

Results

7.9s	22634×	body	256	precondition
4.3s	4105×	body	1024	infinite
1.7s	2120×	body	512	infinite
783.0ms	519×	body	2048	infinite
667.0ms	2021×	body	256	invalid
500.0ms	1428×	body	256	infinite
39.0ms	84×	body	256	valid

Bogosity

preprocess61.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

1734×	`times-frac`
1382×	`fma-def`
1374×	`associate-*r/`
1292×	`associate-*l/`
632×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	219
1	148	201
2	469	197
3	2991	197
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs

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

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

Compiler

Compiled 96 to 85 computations (11.5% saved)

simplify47.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1734×	`times-frac`
1382×	`fma-def`
1374×	`associate-*r/`
1292×	`associate-*l/`
632×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	59	219
1	148	201
2	469	197
3	2991	197

Stop Event

1×	node limit

Counts

1 → 5

Calls

Call 1

Inputs

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

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

eval6.0ms (0%)

Compiler: Compiled 363 to 304 computations (16.3% saved)

prune39.0ms (0.1%)

Pruning

6 alts after pruning (6 fresh and 0 done)

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

Accurracy

1.9%

Counts

6 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	1.9%	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
▶	1.9%	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 z -1) 15/2) (-.f64 z 1/2))) (exp.f64 (+.f64 (neg.f64 (-.f64 z -6)) -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 z 0)) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 z -2)) (/.f64 -883075145810703/5000000000000 (-.f64 z -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 z -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 z -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 z -7)))))
▶	1.9%	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))
▶	1.9%	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 z 13/2) (-.f64 z 1/2)) (exp.f64 (neg.f64 (+.f64 z 13/2))))) (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))
▶	1.9%	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))) (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))))
▶	1.9%	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
▶	1.9%	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 z -1) 15/2) (-.f64 z 1/2))) (exp.f64 (+.f64 (neg.f64 (-.f64 z -6)) -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 z 0)) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 z -2)) (/.f64 -883075145810703/5000000000000 (-.f64 z -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 z -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 z -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 z -7)))))
▶	1.9%	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))
▶	1.9%	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 z 13/2) (-.f64 z 1/2)) (exp.f64 (neg.f64 (+.f64 z 13/2))))) (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))
▶	1.9%	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))) (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))))

Compiler

Compiled 1468 to 1248 computations (15% saved)

localize7.1s (14.4%)

Local Accuracy

Found 20 expressions with local accuracy:

New	Accuracy	Program
✓	99.3%	(/.f64 -883075145810703/5000000000000 (-.f64 z -3))
✓	99.1%	(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 z 0)) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))
✓	98.4%	(sqrt.f64 (*.f64 (PI.f64) 2))
✓	21.9%	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 z -1) 15/2) (-.f64 z 1/2))) (exp.f64 (+.f64 (neg.f64 (-.f64 z -6)) -1/2)))
✓	99.3%	(/.f64 -883075145810703/5000000000000 (+.f64 z 3))
✓	98.9%	(+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))
✓	98.4%	(sqrt.f64 (*.f64 (PI.f64) 2))
✓	21.9%	(*.f64 (pow.f64 (+.f64 z 13/2) (-.f64 z 1/2)) (exp.f64 (neg.f64 (+.f64 z 13/2))))
✓	99.2%	(+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))
✓	98.4%	(sqrt.f64 (*.f64 (PI.f64) 2))
✓	93.9%	(+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3)))))
✓	21.9%	(/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))
✓	99.3%	(/.f64 -883075145810703/5000000000000 (+.f64 z 3))
✓	99.1%	(+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))
✓	98.4%	(sqrt.f64 (*.f64 (PI.f64) 2))
✓	21.9%	(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))
✓	99.5%	(/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))
✓	99.3%	(/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))
✓	98.4%	(sqrt.f64 (*.f64 (PI.f64) 2))
✓	21.9%	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2))))

Compiler

Compiled 2151 to 1770 computations (17.7% saved)

series22.0ms (0%)

Counts

20 → 180

Calls

45 calls:

Time	Variable		Point	Expression
6.0ms	z	@	0	(+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))
2.0ms	z	@	0	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2))))
1.0ms	z	@	-inf	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2))))
1.0ms	z	@	inf	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2))))
1.0ms	z	@	inf	(/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))

rewrite174.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1392×	`pow1`
1390×	`add-exp-log`
1388×	`add-log-exp`
1384×	`add-cube-cbrt`
1382×	`log1p-expm1-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	532
1	2080	532

Stop Event

1×	node limit

Counts

20 → 201

Calls

Call 1

Inputs
(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2))))
(sqrt.f64 (*.f64 (PI.f64) 2))
(/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))
(/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))
(sqrt.f64 (*.f64 (PI.f64) 2))
(+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))
(/.f64 -883075145810703/5000000000000 (+.f64 z 3))
(/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))
(+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3)))))
(sqrt.f64 (*.f64 (PI.f64) 2))
(+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))
(*.f64 (pow.f64 (+.f64 z 13/2) (-.f64 z 1/2)) (exp.f64 (neg.f64 (+.f64 z 13/2))))
(sqrt.f64 (*.f64 (PI.f64) 2))
(+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))
(/.f64 -883075145810703/5000000000000 (+.f64 z 3))
(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 z -1) 15/2) (-.f64 z 1/2))) (exp.f64 (+.f64 (neg.f64 (-.f64 z -6)) -1/2)))
(sqrt.f64 (*.f64 (PI.f64) 2))
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 z 0)) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))
(/.f64 -883075145810703/5000000000000 (-.f64 z -3))

Outputs
(pow.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) 1)
(log.f64 (exp.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))))
(cbrt.f64 (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))))
(expm1.f64 (log1p.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))))
(exp.f64 (log.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))))
(log1p.f64 (expm1.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))))
(.f64 1 (sqrt.f64 (.f64 (PI.f64) 2)))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) 2))) (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) 2)))) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 (PI.f64) 2))) (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2))
(pow.f64 (*.f64 (PI.f64) 2) 1/2)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 1)
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(cbrt.f64 (.f64 (.f64 (PI.f64) 2) (sqrt.f64 (*.f64 (PI.f64) 2))))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(*.f64 1 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)))
(*.f64 -883075145810703/5000000000000 (/.f64 1 (+.f64 z 3)))
(.f64 (.f64 (cbrt.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (cbrt.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)))) (cbrt.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))
(*.f64 (sqrt.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (sqrt.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))
(pow.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) 1)
(log.f64 (exp.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))
(cbrt.f64 (.f64 (.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))
(expm1.f64 (log1p.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))
(exp.f64 (log.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))
(log1p.f64 (expm1.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))
(*.f64 1 (/.f64 7713234287776531/10000000000000 (-.f64 z -2)))
(*.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 z -2)))
(.f64 (.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 z -2))) (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 z -2)))) (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 z -2))))
(*.f64 (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 z -2))) (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 z -2))))
(pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 z -2)) 1)
(log.f64 (exp.f64 (/.f64 7713234287776531/10000000000000 (-.f64 z -2))))
(cbrt.f64 (.f64 (.f64 (/.f64 7713234287776531/10000000000000 (-.f64 z -2)) (/.f64 7713234287776531/10000000000000 (-.f64 z -2))) (/.f64 7713234287776531/10000000000000 (-.f64 z -2))))
(expm1.f64 (log1p.f64 (/.f64 7713234287776531/10000000000000 (-.f64 z -2))))
(exp.f64 (log.f64 (/.f64 7713234287776531/10000000000000 (-.f64 z -2))))
(log1p.f64 (expm1.f64 (/.f64 7713234287776531/10000000000000 (-.f64 z -2))))
(pow.f64 (*.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) 1)
(log.f64 (exp.f64 (*.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))
(cbrt.f64 (.f64 (.f64 (.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))) (*.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))
(expm1.f64 (log1p.f64 (*.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))
(exp.f64 (log.f64 (*.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))
(log1p.f64 (expm1.f64 (*.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))
(.f64 1 (sqrt.f64 (.f64 (PI.f64) 2)))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) 2))) (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) 2)))) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 (PI.f64) 2))) (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2))
(pow.f64 (*.f64 (PI.f64) 2) 1/2)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 1)
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(cbrt.f64 (.f64 (.f64 (PI.f64) 2) (sqrt.f64 (*.f64 (PI.f64) 2))))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(*.f64 1 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))
(.f64 (.f64 (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (sqrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))
(/.f64 (+.f64 (.f64 6765203681218851/10000000000000 (+.f64 z 1)) (.f64 z -3147848041806007/2500000000000)) (*.f64 z (+.f64 z 1)))
(/.f64 (+.f64 (pow.f64 (/.f64 6765203681218851/10000000000000 z) 3) (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) 3)) (+.f64 (.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 6765203681218851/10000000000000 z)) (-.f64 (.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (*.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))))
(/.f64 (-.f64 (.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 6765203681218851/10000000000000 z)) (.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (-.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))
(pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) 1)
(log.f64 (exp.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))
(cbrt.f64 (.f64 (.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))
(exp.f64 (log.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))
(*.f64 1 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)))
(*.f64 -883075145810703/5000000000000 (/.f64 1 (+.f64 z 3)))
(.f64 (.f64 (cbrt.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (cbrt.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)))) (cbrt.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))
(*.f64 (sqrt.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (sqrt.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))
(pow.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) 1)
(log.f64 (exp.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))
(cbrt.f64 (.f64 (.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))
(expm1.f64 (log1p.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))
(exp.f64 (log.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))
(log1p.f64 (expm1.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))
(*.f64 1 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 (neg.f64 z) -13/2)))
(*.f64 (exp.f64 (+.f64 (neg.f64 z) -13/2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))
(.f64 (.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (cbrt.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) (cbrt.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 (sqrt.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (sqrt.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(pow.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))) 1)
(log.f64 (exp.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(cbrt.f64 (.f64 (.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(exp.f64 (log.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(*.f64 1 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z))))))
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(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(*.f64 1 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))
(.f64 (.f64 (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (sqrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))
(/.f64 (+.f64 (.f64 6765203681218851/10000000000000 (+.f64 z 1)) (.f64 z -3147848041806007/2500000000000)) (*.f64 z (+.f64 z 1)))
(/.f64 (+.f64 (pow.f64 (/.f64 6765203681218851/10000000000000 z) 3) (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) 3)) (+.f64 (.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 6765203681218851/10000000000000 z)) (-.f64 (.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (*.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))))
(/.f64 (-.f64 (.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 6765203681218851/10000000000000 z)) (.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (-.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))
(pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) 1)
(log.f64 (exp.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))
(cbrt.f64 (.f64 (.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))
(exp.f64 (log.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))
(*.f64 1 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)))
(*.f64 -883075145810703/5000000000000 (/.f64 1 (+.f64 z 3)))
(.f64 (.f64 (cbrt.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (cbrt.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)))) (cbrt.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))
(*.f64 (sqrt.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (sqrt.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))
(pow.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) 1)
(log.f64 (exp.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))
(cbrt.f64 (.f64 (.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))
(expm1.f64 (log1p.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))
(exp.f64 (log.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))
(log1p.f64 (expm1.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))

simplify267.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

884×	`fma-neg`
868×	`associate-l`
860×	`fma-def`
850×	`associate-r`
432×	`log-prod`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	540	15463
1	1539	14499
2	6297	14499

Stop Event

1×	node limit

Counts

381 → 305

Calls

Call 1

Inputs
(.f64 (.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (sqrt.f64 (PI.f64)))
(+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (sqrt.f64 (PI.f64))) (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 (-.f64 (log.f64 13/2) 1/13) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (.f64 -1 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))) z)) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (+.f64 (.f64 (+.f64 27/169 (.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (.f64 -1 (.f64 (-.f64 (log.f64 13/2) 1/13) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))))) (pow.f64 z 2))) (sqrt.f64 (PI.f64))) (+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (sqrt.f64 (PI.f64))) (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 (-.f64 (log.f64 13/2) 1/13) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (.f64 -1 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))) z)) (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (+.f64 (.f64 (+.f64 27/169 (.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (.f64 -1 (.f64 (-.f64 (log.f64 13/2) 1/13) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))))) (pow.f64 z 2))) (sqrt.f64 (PI.f64))) (+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (sqrt.f64 (PI.f64))) (+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 (-.f64 (log.f64 13/2) 1/13) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (.f64 -1 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))) z)) (sqrt.f64 (PI.f64))) (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 1/2 (.f64 (-.f64 (log.f64 13/2) 1/13) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))) (+.f64 (.f64 (-.f64 (+.f64 (.f64 27/169 (-.f64 (log.f64 13/2) 1/13)) (.f64 1/6 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 3))) 82/6591) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (+.f64 (.f64 -1/6 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (.f64 -1 (.f64 (+.f64 27/169 (.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))))))) (pow.f64 z 3))) (sqrt.f64 (PI.f64))))))
(.f64 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (neg.f64 (+.f64 13/2 z))))) (sqrt.f64 (PI.f64)))
(.f64 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (neg.f64 (+.f64 13/2 z))))) (sqrt.f64 (PI.f64)))
(.f64 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (neg.f64 (+.f64 13/2 z))))) (sqrt.f64 (PI.f64)))
(.f64 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (neg.f64 (+.f64 13/2 z))))) (sqrt.f64 (PI.f64)))
(.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2)))) (exp.f64 (-.f64 (.f64 -1 z) 13/2)))) (sqrt.f64 (PI.f64)))
(.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2)))) (exp.f64 (-.f64 (.f64 -1 z) 13/2)))) (sqrt.f64 (PI.f64)))
(.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2)))) (exp.f64 (-.f64 (.f64 -1 z) 13/2)))) (sqrt.f64 (PI.f64)))
(.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2)))) (exp.f64 (-.f64 (.f64 -1 z) 13/2)))) (sqrt.f64 (PI.f64)))
-294358381936901/5000000000000
(-.f64 (*.f64 294358381936901/15000000000000 z) 294358381936901/5000000000000)
(-.f64 (+.f64 (.f64 -294358381936901/45000000000000 (pow.f64 z 2)) (.f64 294358381936901/15000000000000 z)) 294358381936901/5000000000000)
(-.f64 (+.f64 (.f64 -294358381936901/45000000000000 (pow.f64 z 2)) (+.f64 (.f64 294358381936901/15000000000000 z) (*.f64 294358381936901/135000000000000 (pow.f64 z 3)))) 294358381936901/5000000000000)
(/.f64 -883075145810703/5000000000000 z)
(-.f64 (.f64 2649225437432109/5000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 883075145810703/5000000000000 (/.f64 1 z)))
(-.f64 (.f64 2649225437432109/5000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 7947676312296327/5000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 883075145810703/5000000000000 (/.f64 1 z))))
(-.f64 (+.f64 (.f64 23843028936888981/5000000000000 (/.f64 1 (pow.f64 z 4))) (.f64 2649225437432109/5000000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (.f64 7947676312296327/5000000000000 (/.f64 1 (pow.f64 z 3))) (.f64 883075145810703/5000000000000 (/.f64 1 z))))
(/.f64 -883075145810703/5000000000000 z)
(-.f64 (.f64 2649225437432109/5000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 883075145810703/5000000000000 (/.f64 1 z)))
(-.f64 (.f64 2649225437432109/5000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 7947676312296327/5000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 883075145810703/5000000000000 (/.f64 1 z))))
(-.f64 (+.f64 (.f64 23843028936888981/5000000000000 (/.f64 1 (pow.f64 z 4))) (.f64 2649225437432109/5000000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (.f64 7947676312296327/5000000000000 (/.f64 1 (pow.f64 z 3))) (.f64 883075145810703/5000000000000 (/.f64 1 z))))
7713234287776531/20000000000000
(+.f64 7713234287776531/20000000000000 (*.f64 -7713234287776531/40000000000000 z))
(+.f64 7713234287776531/20000000000000 (+.f64 (.f64 -7713234287776531/40000000000000 z) (.f64 7713234287776531/80000000000000 (pow.f64 z 2))))
(+.f64 (.f64 -7713234287776531/160000000000000 (pow.f64 z 3)) (+.f64 7713234287776531/20000000000000 (+.f64 (.f64 -7713234287776531/40000000000000 z) (*.f64 7713234287776531/80000000000000 (pow.f64 z 2)))))
(/.f64 7713234287776531/10000000000000 z)
(-.f64 (.f64 7713234287776531/10000000000000 (/.f64 1 z)) (.f64 7713234287776531/5000000000000 (/.f64 1 (pow.f64 z 2))))
(-.f64 (+.f64 (.f64 7713234287776531/2500000000000 (/.f64 1 (pow.f64 z 3))) (.f64 7713234287776531/10000000000000 (/.f64 1 z))) (*.f64 7713234287776531/5000000000000 (/.f64 1 (pow.f64 z 2))))
(-.f64 (+.f64 (.f64 7713234287776531/2500000000000 (/.f64 1 (pow.f64 z 3))) (.f64 7713234287776531/10000000000000 (/.f64 1 z))) (+.f64 (.f64 7713234287776531/5000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 7713234287776531/1250000000000 (/.f64 1 (pow.f64 z 4)))))
(/.f64 7713234287776531/10000000000000 z)
(-.f64 (.f64 7713234287776531/10000000000000 (/.f64 1 z)) (.f64 7713234287776531/5000000000000 (/.f64 1 (pow.f64 z 2))))
(-.f64 (+.f64 (.f64 7713234287776531/2500000000000 (/.f64 1 (pow.f64 z 3))) (.f64 7713234287776531/10000000000000 (/.f64 1 z))) (*.f64 7713234287776531/5000000000000 (/.f64 1 (pow.f64 z 2))))
(-.f64 (+.f64 (.f64 7713234287776531/2500000000000 (/.f64 1 (pow.f64 z 3))) (.f64 7713234287776531/10000000000000 (/.f64 1 z))) (+.f64 (.f64 7713234287776531/5000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 7713234287776531/1250000000000 (/.f64 1 (pow.f64 z 4)))))
(*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))
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(+.f64 (.f64 (+.f64 (.f64 (-.f64 (log.f64 13/2) 1/13) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (.f64 -1 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))) z) (+.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (+.f64 (.f64 (+.f64 27/169 (.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (.f64 -1 (.f64 (-.f64 (log.f64 13/2) 1/13) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))))) (pow.f64 z 2))))
(+.f64 (.f64 (+.f64 (.f64 (-.f64 (log.f64 13/2) 1/13) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (.f64 -1 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))) z) (+.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (-.f64 (log.f64 13/2) 1/13) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))) (+.f64 (.f64 (-.f64 (+.f64 (.f64 27/169 (-.f64 (log.f64 13/2) 1/13)) (.f64 1/6 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 3))) 82/6591) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (+.f64 (.f64 -1/6 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (.f64 -1 (.f64 (+.f64 27/169 (.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))))))) (pow.f64 z 3)) (.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (+.f64 (.f64 (+.f64 27/169 (.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (.f64 -1 (.f64 (-.f64 (log.f64 13/2) 1/13) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))))) (pow.f64 z 2)))))
(*.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (neg.f64 (+.f64 13/2 z))))
(*.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (neg.f64 (+.f64 13/2 z))))
(*.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (neg.f64 (+.f64 13/2 z))))
(*.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (neg.f64 (+.f64 13/2 z))))
(.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2)))) (exp.f64 (-.f64 (.f64 -1 z) 13/2)))
(.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2)))) (exp.f64 (-.f64 (.f64 -1 z) 13/2)))
(.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2)))) (exp.f64 (-.f64 (.f64 -1 z) 13/2)))
(.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2)))) (exp.f64 (-.f64 (.f64 -1 z) 13/2)))
(/.f64 6765203681218851/10000000000000 z)
(-.f64 (*.f64 6765203681218851/10000000000000 (/.f64 1 z)) 3147848041806007/2500000000000)
(-.f64 (+.f64 (.f64 3147848041806007/2500000000000 z) (.f64 6765203681218851/10000000000000 (/.f64 1 z))) 3147848041806007/2500000000000)
(-.f64 (+.f64 (.f64 3147848041806007/2500000000000 z) (+.f64 (.f64 -3147848041806007/2500000000000 (pow.f64 z 2)) (*.f64 6765203681218851/10000000000000 (/.f64 1 z)))) 3147848041806007/2500000000000)
(/.f64 -5826188486005177/10000000000000 z)
(-.f64 (.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 2))) (.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(-.f64 (.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 5826188486005177/10000000000000 (/.f64 1 z))))
(-.f64 (+.f64 (.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 2))) (.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 4)))) (+.f64 (.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 3))) (.f64 5826188486005177/10000000000000 (/.f64 1 z))))
(/.f64 -5826188486005177/10000000000000 z)
(-.f64 (.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 2))) (.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(-.f64 (.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 5826188486005177/10000000000000 (/.f64 1 z))))
(-.f64 (+.f64 (.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 2))) (.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 4)))) (+.f64 (.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 3))) (.f64 5826188486005177/10000000000000 (/.f64 1 z))))
-294358381936901/5000000000000
(-.f64 (*.f64 294358381936901/15000000000000 z) 294358381936901/5000000000000)
(-.f64 (+.f64 (.f64 -294358381936901/45000000000000 (pow.f64 z 2)) (.f64 294358381936901/15000000000000 z)) 294358381936901/5000000000000)
(-.f64 (+.f64 (.f64 -294358381936901/45000000000000 (pow.f64 z 2)) (+.f64 (.f64 294358381936901/15000000000000 z) (*.f64 294358381936901/135000000000000 (pow.f64 z 3)))) 294358381936901/5000000000000)
(/.f64 -883075145810703/5000000000000 z)
(-.f64 (.f64 2649225437432109/5000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 883075145810703/5000000000000 (/.f64 1 z)))
(-.f64 (.f64 2649225437432109/5000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 7947676312296327/5000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 883075145810703/5000000000000 (/.f64 1 z))))
(-.f64 (+.f64 (.f64 23843028936888981/5000000000000 (/.f64 1 (pow.f64 z 4))) (.f64 2649225437432109/5000000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (.f64 7947676312296327/5000000000000 (/.f64 1 (pow.f64 z 3))) (.f64 883075145810703/5000000000000 (/.f64 1 z))))
(/.f64 -883075145810703/5000000000000 z)
(-.f64 (.f64 2649225437432109/5000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 883075145810703/5000000000000 (/.f64 1 z)))
(-.f64 (.f64 2649225437432109/5000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 7947676312296327/5000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 883075145810703/5000000000000 (/.f64 1 z))))
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(.f64 1 (sqrt.f64 (.f64 (PI.f64) 2)))
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(/.f64 (-.f64 (.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z))))) (-.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))))
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(/.f64 (+.f64 (.f64 -3147848041806007/2500000000000 (+.f64 2 z)) (.f64 (+.f64 z 1) 7713234287776531/10000000000000)) (*.f64 (+.f64 z 1) (+.f64 2 z)))
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(pow.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) 1)
(log.f64 (exp.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))
(cbrt.f64 (.f64 (.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))
(expm1.f64 (log1p.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))
(exp.f64 (log.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))
(log1p.f64 (expm1.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))

Outputs
(.f64 (.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (sqrt.f64 (PI.f64)))
(.f64 (sqrt.f64 2) (.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (sqrt.f64 (PI.f64))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2/13) (*.f64 (exp.f64 -13/2) (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (sqrt.f64 (PI.f64))) (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 (-.f64 (log.f64 13/2) 1/13) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (.f64 -1 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))) z)) (sqrt.f64 (PI.f64))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (.f64 (sqrt.f64 2) (.f64 (.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 (+.f64 (log.f64 13/2) -1/13) -1)) z))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 2) (fma.f64 (sqrt.f64 2/13) (exp.f64 -13/2) (.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (*.f64 (+.f64 (log.f64 13/2) -14/13) z)))))
(+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (+.f64 (.f64 (+.f64 27/169 (.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (.f64 -1 (.f64 (-.f64 (log.f64 13/2) 1/13) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))))) (pow.f64 z 2))) (sqrt.f64 (PI.f64))) (+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (sqrt.f64 (PI.f64))) (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 (-.f64 (log.f64 13/2) 1/13) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (.f64 -1 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))) z)) (sqrt.f64 (PI.f64)))))
(fma.f64 (.f64 (sqrt.f64 2) (.f64 (fma.f64 1/2 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (fma.f64 (+.f64 27/169 (.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2))) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (neg.f64 (.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 (log.f64 13/2) -1/13))))) (.f64 z z))) (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (.f64 (sqrt.f64 2) (.f64 (.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 (+.f64 (log.f64 13/2) -1/13) -1)) z)))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (sqrt.f64 2) (fma.f64 (sqrt.f64 2/13) (exp.f64 -13/2) (.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (.f64 (+.f64 (log.f64 13/2) -14/13) z)))) (.f64 (sqrt.f64 2) (.f64 (-.f64 (.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 1/2 (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169))) (.f64 (sqrt.f64 2/13) (.f64 (+.f64 (log.f64 13/2) -1/13) (exp.f64 -13/2)))) (.f64 z z)))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (sqrt.f64 2) (fma.f64 (sqrt.f64 2/13) (exp.f64 -13/2) (.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (.f64 (+.f64 (log.f64 13/2) -14/13) z)))) (.f64 (sqrt.f64 2) (.f64 (fma.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 1/2 (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169)) (.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (neg.f64 (+.f64 (log.f64 13/2) -1/13)))) (*.f64 z z)))))
(+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (+.f64 (.f64 (+.f64 27/169 (.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (.f64 -1 (.f64 (-.f64 (log.f64 13/2) 1/13) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))))) (pow.f64 z 2))) (sqrt.f64 (PI.f64))) (+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (sqrt.f64 (PI.f64))) (+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 (-.f64 (log.f64 13/2) 1/13) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (.f64 -1 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))) z)) (sqrt.f64 (PI.f64))) (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 1/2 (.f64 (-.f64 (log.f64 13/2) 1/13) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))) (+.f64 (.f64 (-.f64 (+.f64 (.f64 27/169 (-.f64 (log.f64 13/2) 1/13)) (.f64 1/6 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 3))) 82/6591) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (+.f64 (.f64 -1/6 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (.f64 -1 (.f64 (+.f64 27/169 (.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))))))) (pow.f64 z 3))) (sqrt.f64 (PI.f64))))))
(fma.f64 (.f64 (sqrt.f64 2) (.f64 (fma.f64 1/2 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (fma.f64 (+.f64 27/169 (.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2))) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (neg.f64 (.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 (log.f64 13/2) -1/13))))) (.f64 z z))) (sqrt.f64 (PI.f64)) (fma.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 (+.f64 (log.f64 13/2) -1/13) -1)) z)) (.f64 (sqrt.f64 2) (.f64 (fma.f64 1/2 (.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 (log.f64 13/2) -1/13)) (fma.f64 (+.f64 (fma.f64 27/169 (+.f64 (log.f64 13/2) -1/13) (.f64 1/6 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 3))) -82/6591) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (fma.f64 -1/6 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (neg.f64 (.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 27/169 (*.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2)))))))) (pow.f64 z 3)))))))
(fma.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (PI.f64)) (.f64 (-.f64 (.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 1/2 (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169))) (.f64 (sqrt.f64 2/13) (.f64 (+.f64 (log.f64 13/2) -1/13) (exp.f64 -13/2)))) (.f64 z z))) (.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (sqrt.f64 2) (fma.f64 (sqrt.f64 2/13) (exp.f64 -13/2) (.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (.f64 (+.f64 (log.f64 13/2) -14/13) z)))) (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 -1/6 (neg.f64 (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169)))) (.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 (+.f64 (*.f64 1/2 (log.f64 13/2)) -1/26) (fma.f64 (+.f64 (log.f64 13/2) -1/13) 27/169 (fma.f64 1/6 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 3) -82/6591))))) (pow.f64 z 3))))))
(fma.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (PI.f64)) (.f64 (fma.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 1/2 (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169)) (.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (neg.f64 (+.f64 (log.f64 13/2) -1/13)))) (.f64 z z))) (.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (sqrt.f64 2) (fma.f64 (sqrt.f64 2/13) (exp.f64 -13/2) (.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (.f64 (+.f64 (log.f64 13/2) -14/13) z)))) (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 -1/6 (neg.f64 (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169)))) (.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 (+.f64 (.f64 1/2 (log.f64 13/2)) -1/26) (fma.f64 (+.f64 (log.f64 13/2) -1/13) 27/169 (fma.f64 1/6 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 3) -82/6591))))) (pow.f64 z 3))))))
(.f64 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (neg.f64 (+.f64 13/2 z))))) (sqrt.f64 (PI.f64)))
(.f64 (sqrt.f64 2) (.f64 (*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))) (sqrt.f64 (PI.f64))))
(.f64 (.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))
(.f64 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (neg.f64 (+.f64 13/2 z))))) (sqrt.f64 (PI.f64)))
(.f64 (sqrt.f64 2) (.f64 (*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))) (sqrt.f64 (PI.f64))))
(.f64 (.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))
(.f64 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (neg.f64 (+.f64 13/2 z))))) (sqrt.f64 (PI.f64)))
(.f64 (sqrt.f64 2) (.f64 (*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))) (sqrt.f64 (PI.f64))))
(.f64 (.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))
(.f64 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (neg.f64 (+.f64 13/2 z))))) (sqrt.f64 (PI.f64)))
(.f64 (sqrt.f64 2) (.f64 (*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))) (sqrt.f64 (PI.f64))))
(.f64 (.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))
(.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2)))) (exp.f64 (-.f64 (.f64 -1 z) 13/2)))) (sqrt.f64 (PI.f64)))
(.f64 (sqrt.f64 2) (.f64 (exp.f64 (+.f64 (neg.f64 (*.f64 (log.f64 (-.f64 13/2 (neg.f64 z))) (fma.f64 -1 z 1/2))) (-.f64 -13/2 z))) (sqrt.f64 (PI.f64))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (PI.f64)) (exp.f64 (fma.f64 (neg.f64 (log.f64 (+.f64 13/2 z))) (-.f64 1/2 z) (-.f64 -13/2 z)))))
(.f64 (.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (neg.f64 (-.f64 1/2 z)))) (*.f64 (exp.f64 (-.f64 -13/2 z)) (sqrt.f64 (PI.f64))))
(.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2)))) (exp.f64 (-.f64 (.f64 -1 z) 13/2)))) (sqrt.f64 (PI.f64)))
(.f64 (sqrt.f64 2) (.f64 (exp.f64 (+.f64 (neg.f64 (*.f64 (log.f64 (-.f64 13/2 (neg.f64 z))) (fma.f64 -1 z 1/2))) (-.f64 -13/2 z))) (sqrt.f64 (PI.f64))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (PI.f64)) (exp.f64 (fma.f64 (neg.f64 (log.f64 (+.f64 13/2 z))) (-.f64 1/2 z) (-.f64 -13/2 z)))))
(.f64 (.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (neg.f64 (-.f64 1/2 z)))) (*.f64 (exp.f64 (-.f64 -13/2 z)) (sqrt.f64 (PI.f64))))
(.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2)))) (exp.f64 (-.f64 (.f64 -1 z) 13/2)))) (sqrt.f64 (PI.f64)))
(.f64 (sqrt.f64 2) (.f64 (exp.f64 (+.f64 (neg.f64 (*.f64 (log.f64 (-.f64 13/2 (neg.f64 z))) (fma.f64 -1 z 1/2))) (-.f64 -13/2 z))) (sqrt.f64 (PI.f64))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (PI.f64)) (exp.f64 (fma.f64 (neg.f64 (log.f64 (+.f64 13/2 z))) (-.f64 1/2 z) (-.f64 -13/2 z)))))
(.f64 (.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (neg.f64 (-.f64 1/2 z)))) (*.f64 (exp.f64 (-.f64 -13/2 z)) (sqrt.f64 (PI.f64))))
(.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2)))) (exp.f64 (-.f64 (.f64 -1 z) 13/2)))) (sqrt.f64 (PI.f64)))
(.f64 (sqrt.f64 2) (.f64 (exp.f64 (+.f64 (neg.f64 (*.f64 (log.f64 (-.f64 13/2 (neg.f64 z))) (fma.f64 -1 z 1/2))) (-.f64 -13/2 z))) (sqrt.f64 (PI.f64))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (PI.f64)) (exp.f64 (fma.f64 (neg.f64 (log.f64 (+.f64 13/2 z))) (-.f64 1/2 z) (-.f64 -13/2 z)))))
(.f64 (.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (neg.f64 (-.f64 1/2 z)))) (*.f64 (exp.f64 (-.f64 -13/2 z)) (sqrt.f64 (PI.f64))))
-294358381936901/5000000000000
(-.f64 (*.f64 294358381936901/15000000000000 z) 294358381936901/5000000000000)
(fma.f64 294358381936901/15000000000000 z -294358381936901/5000000000000)
(fma.f64 z 294358381936901/15000000000000 -294358381936901/5000000000000)
(-.f64 (+.f64 (.f64 -294358381936901/45000000000000 (pow.f64 z 2)) (.f64 294358381936901/15000000000000 z)) 294358381936901/5000000000000)
(+.f64 (.f64 (.f64 z z) -294358381936901/45000000000000) (fma.f64 294358381936901/15000000000000 z -294358381936901/5000000000000))
(fma.f64 (*.f64 z z) -294358381936901/45000000000000 (fma.f64 z 294358381936901/15000000000000 -294358381936901/5000000000000))
(-.f64 (+.f64 (.f64 -294358381936901/45000000000000 (pow.f64 z 2)) (+.f64 (.f64 294358381936901/15000000000000 z) (*.f64 294358381936901/135000000000000 (pow.f64 z 3)))) 294358381936901/5000000000000)
(+.f64 (fma.f64 -294358381936901/45000000000000 (.f64 z z) (fma.f64 294358381936901/15000000000000 z (.f64 (pow.f64 z 3) 294358381936901/135000000000000))) -294358381936901/5000000000000)
(fma.f64 (.f64 z z) -294358381936901/45000000000000 (+.f64 (.f64 (pow.f64 z 3) 294358381936901/135000000000000) (fma.f64 z 294358381936901/15000000000000 -294358381936901/5000000000000)))
(+.f64 (fma.f64 (.f64 z z) -294358381936901/45000000000000 (.f64 z 294358381936901/15000000000000)) (fma.f64 (pow.f64 z 3) 294358381936901/135000000000000 -294358381936901/5000000000000))
(/.f64 -883075145810703/5000000000000 z)
(-.f64 (.f64 2649225437432109/5000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 883075145810703/5000000000000 (/.f64 1 z)))
(-.f64 (/.f64 2649225437432109/5000000000000 (*.f64 z z)) (/.f64 883075145810703/5000000000000 z))
(+.f64 (/.f64 2649225437432109/5000000000000 (*.f64 z z)) (/.f64 -883075145810703/5000000000000 z))
(-.f64 (.f64 2649225437432109/5000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 7947676312296327/5000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 883075145810703/5000000000000 (/.f64 1 z))))
(-.f64 (/.f64 2649225437432109/5000000000000 (*.f64 z z)) (+.f64 (/.f64 883075145810703/5000000000000 z) (/.f64 7947676312296327/5000000000000 (pow.f64 z 3))))
(+.f64 (-.f64 (/.f64 2649225437432109/5000000000000 (*.f64 z z)) (/.f64 7947676312296327/5000000000000 (pow.f64 z 3))) (/.f64 -883075145810703/5000000000000 z))
(-.f64 (+.f64 (.f64 23843028936888981/5000000000000 (/.f64 1 (pow.f64 z 4))) (.f64 2649225437432109/5000000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (.f64 7947676312296327/5000000000000 (/.f64 1 (pow.f64 z 3))) (.f64 883075145810703/5000000000000 (/.f64 1 z))))
(+.f64 (/.f64 23843028936888981/5000000000000 (pow.f64 z 4)) (-.f64 (/.f64 2649225437432109/5000000000000 (*.f64 z z)) (+.f64 (/.f64 883075145810703/5000000000000 z) (/.f64 7947676312296327/5000000000000 (pow.f64 z 3)))))
(+.f64 (/.f64 2649225437432109/5000000000000 (*.f64 z z)) (-.f64 (/.f64 23843028936888981/5000000000000 (pow.f64 z 4)) (+.f64 (/.f64 883075145810703/5000000000000 z) (/.f64 7947676312296327/5000000000000 (pow.f64 z 3)))))
(/.f64 -883075145810703/5000000000000 z)
(-.f64 (.f64 2649225437432109/5000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 883075145810703/5000000000000 (/.f64 1 z)))
(-.f64 (/.f64 2649225437432109/5000000000000 (*.f64 z z)) (/.f64 883075145810703/5000000000000 z))
(+.f64 (/.f64 2649225437432109/5000000000000 (*.f64 z z)) (/.f64 -883075145810703/5000000000000 z))
(-.f64 (.f64 2649225437432109/5000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 7947676312296327/5000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 883075145810703/5000000000000 (/.f64 1 z))))
(-.f64 (/.f64 2649225437432109/5000000000000 (*.f64 z z)) (+.f64 (/.f64 883075145810703/5000000000000 z) (/.f64 7947676312296327/5000000000000 (pow.f64 z 3))))
(+.f64 (-.f64 (/.f64 2649225437432109/5000000000000 (*.f64 z z)) (/.f64 7947676312296327/5000000000000 (pow.f64 z 3))) (/.f64 -883075145810703/5000000000000 z))
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(*.f64 (sqrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (sqrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))
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(/.f64 (+.f64 (.f64 6765203681218851/10000000000000 (+.f64 z 1)) (.f64 z -3147848041806007/2500000000000)) (*.f64 z (+.f64 z 1)))
(/.f64 (fma.f64 6765203681218851/10000000000000 (+.f64 z 1) (.f64 z -3147848041806007/2500000000000)) (.f64 z (+.f64 z 1)))
(/.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)) (fma.f64 z z z))
(/.f64 (+.f64 (pow.f64 (/.f64 6765203681218851/10000000000000 z) 3) (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) 3)) (+.f64 (.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 6765203681218851/10000000000000 z)) (-.f64 (.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (*.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))))
(/.f64 (+.f64 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3)) (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) 3)) (fma.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 6765203681218851/10000000000000 z) (*.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (-.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 6765203681218851/10000000000000 z)))))
(/.f64 (+.f64 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3)) (/.f64 -31191860336727207531769765603776766852501482343/15625000000000000000000000000000000000 (pow.f64 (+.f64 z 1) 3))) (fma.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -6765203681218851/10000000000000 z)) (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 z) z)))
(/.f64 (-.f64 (.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 6765203681218851/10000000000000 z)) (.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (-.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))
(/.f64 (-.f64 (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 z) z) (/.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (+.f64 z 1)) (+.f64 z 1))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 3147848041806007/2500000000000 (+.f64 z 1))))
(pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) 1)
(+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))
(log.f64 (exp.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))
(+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))
(cbrt.f64 (.f64 (.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))
(+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))
(+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))
(exp.f64 (log.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))
(+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))
(+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))
(*.f64 1 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)))
(/.f64 -883075145810703/5000000000000 (+.f64 z 3))
(*.f64 -883075145810703/5000000000000 (/.f64 1 (+.f64 z 3)))
(/.f64 -883075145810703/5000000000000 (+.f64 z 3))
(.f64 (.f64 (cbrt.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (cbrt.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)))) (cbrt.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))
(/.f64 -883075145810703/5000000000000 (+.f64 z 3))
(*.f64 (sqrt.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (sqrt.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))
(/.f64 -883075145810703/5000000000000 (+.f64 z 3))
(pow.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) 1)
(/.f64 -883075145810703/5000000000000 (+.f64 z 3))
(log.f64 (exp.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))
(/.f64 -883075145810703/5000000000000 (+.f64 z 3))
(cbrt.f64 (.f64 (.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))
(/.f64 -883075145810703/5000000000000 (+.f64 z 3))
(expm1.f64 (log1p.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))
(/.f64 -883075145810703/5000000000000 (+.f64 z 3))
(exp.f64 (log.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))
(/.f64 -883075145810703/5000000000000 (+.f64 z 3))
(log1p.f64 (expm1.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))
(/.f64 -883075145810703/5000000000000 (+.f64 z 3))

eval735.0ms (1.5%)

Compiler: Compiled 30400 to 25582 computations (15.8% saved)

prune196.0ms (0.4%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	352	13	365
Fresh	0	0	0
Picked	4	1	5
Done	0	0	0
Total	356	14	370

Accurracy

100.0%

Counts

370 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	1.9%	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (.f64 (.f64 (cbrt.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (cbrt.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)))) (cbrt.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
	1.9%	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (*.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 z -2)))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
	1.9%	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))
▶	1.9%	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 (-.f64 (.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 6765203681218851/10000000000000 z)) (*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))))) (-.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))
▶	0.4%	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 30223877537487/2500000000000 z) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))
✓	1.9%	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))
	0.6%	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 153960904158449/625000000000 (.f64 z z)) (/.f64 30223877537487/2500000000000 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))
	1.9%	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (-.f64 z -2))))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))
▶	3.3%	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))
	0.5%	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 z 13/2) (-.f64 z 1/2)) (exp.f64 (neg.f64 (+.f64 z 13/2))))) (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (/.f64 -4878157879447497/10000000000000 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))
	1.9%	(.f64 (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (+.f64 13/2 z)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
▶	1.9%	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 (.f64 6765203681218851/10000000000000 (+.f64 z 1)) (.f64 z -3147848041806007/2500000000000)) (.f64 z (+.f64 z 1)))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))) (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))))
▶	99.9%	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))) (exp.f64 (fma.f64 (neg.f64 (log.f64 (+.f64 13/2 z))) (-.f64 1/2 z) (-.f64 -13/2 z)))))
	1.9%	(.f64 (exp.f64 (log.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
	1.9%	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (.f64 (.f64 (cbrt.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (cbrt.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)))) (cbrt.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
	1.9%	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (*.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 z -2)))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
	1.9%	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))
▶	1.9%	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 (-.f64 (.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 6765203681218851/10000000000000 z)) (*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))))) (-.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))
▶	0.4%	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 30223877537487/2500000000000 z) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))
✓	1.9%	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))
	0.6%	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 153960904158449/625000000000 (.f64 z z)) (/.f64 30223877537487/2500000000000 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))
	1.9%	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (-.f64 z -2))))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))
▶	3.3%	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))
	0.5%	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 z 13/2) (-.f64 z 1/2)) (exp.f64 (neg.f64 (+.f64 z 13/2))))) (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (/.f64 -4878157879447497/10000000000000 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))
	1.9%	(.f64 (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (+.f64 13/2 z)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
▶	1.9%	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 (.f64 6765203681218851/10000000000000 (+.f64 z 1)) (.f64 z -3147848041806007/2500000000000)) (.f64 z (+.f64 z 1)))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))) (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))))
▶	99.9%	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))) (exp.f64 (fma.f64 (neg.f64 (log.f64 (+.f64 13/2 z))) (-.f64 1/2 z) (-.f64 -13/2 z)))))
	1.9%	(.f64 (exp.f64 (log.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))

Compiler

Compiled 4028 to 3418 computations (15.1% saved)

localize5.4s (11%)

Local Accuracy

Found 20 expressions with local accuracy:

New	Accuracy	Program
	98.4%	(sqrt.f64 (*.f64 (PI.f64) 2))
✓	97.7%	(-.f64 (.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 6765203681218851/10000000000000 z)) (.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z))))))
✓	52.9%	(/.f64 (-.f64 (.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 6765203681218851/10000000000000 z)) (.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))))) (-.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z))))))
	21.9%	(/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))
✓	99.0%	(+.f64 (.f64 6765203681218851/10000000000000 (+.f64 z 1)) (.f64 z -3147848041806007/2500000000000))
	98.4%	(sqrt.f64 (*.f64 (PI.f64) 2))
✓	50.5%	(/.f64 (+.f64 (.f64 6765203681218851/10000000000000 (+.f64 z 1)) (.f64 z -3147848041806007/2500000000000)) (*.f64 z (+.f64 z 1)))
	21.9%	(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))
	99.2%	(+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))
	98.4%	(sqrt.f64 (*.f64 (PI.f64) 2))
✓	98.4%	(/.f64 (sqrt.f64 2/13) (exp.f64 13/2))
	93.9%	(+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3)))))
✓	99.5%	(/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))
✓	99.5%	(+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))
	98.4%	(sqrt.f64 (*.f64 (PI.f64) 2))
	21.9%	(/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))
✓	99.5%	(/.f64 7713234287776531/10000000000000 (+.f64 2 z))
✓	99.3%	(/.f64 -883075145810703/5000000000000 (+.f64 z 3))
	99.1%	(+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))
	98.4%	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 2152 to 1732 computations (19.5% saved)

series8.0ms (0%)

Counts

9 → 96

Calls

24 calls:

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

rewrite149.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1306×	`add-exp-log`
1306×	`add-log-exp`
1304×	`log1p-expm1-u`
1304×	`add-cube-cbrt`
1304×	`expm1-log1p-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	393
1	1348	393

Stop Event

1×	node limit

Counts

9 → 100

Calls

Call 1

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

Outputs
(*.f64 -883075145810703/5000000000000 (/.f64 1 (+.f64 z 3)))
(*.f64 1 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)))
(.f64 (.f64 (cbrt.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (cbrt.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)))) (cbrt.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))
(*.f64 (sqrt.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (sqrt.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))
(pow.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) 1)
(log.f64 (exp.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))
(cbrt.f64 (.f64 (.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))
(expm1.f64 (log1p.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))
(exp.f64 (log.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))
(log1p.f64 (expm1.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))
(*.f64 7713234287776531/10000000000000 (/.f64 1 (+.f64 z 2)))
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(log.f64 (exp.f64 (/.f64 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) 2)) (-.f64 (-.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))))
(cbrt.f64 (.f64 (.f64 (/.f64 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z)) (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) 2)) (-.f64 (-.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))) (/.f64 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z)) (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) 2)) (-.f64 (-.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (/.f64 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) 2)) (-.f64 (-.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) 2)) (-.f64 (-.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))))
(exp.f64 (log.f64 (/.f64 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) 2)) (-.f64 (-.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) 2)) (-.f64 (-.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))))
(+.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (neg.f64 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) 2)))
(+.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z)) (.f64 (neg.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))))
(+.f64 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) 2)) (fma.f64 (neg.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) 2)))
(.f64 1 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z)) (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) 2)))
(.f64 (.f64 (cbrt.f64 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z)) (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) 2))) (cbrt.f64 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z)) (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) 2)))) (cbrt.f64 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) 2))))
(.f64 (sqrt.f64 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z)) (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) 2))) (sqrt.f64 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) 2))))
(*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))) (-.f64 (-.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))
(/.f64 (-.f64 (pow.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z)) 3) (pow.f64 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) 2) 3)) (+.f64 (.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z)) (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z))) (+.f64 (.f64 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) 2) (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) 2)) (.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) 2)))))
(/.f64 (-.f64 (.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z)) (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z))) (.f64 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) 2) (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) 2))) (+.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) 2)))
(pow.f64 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) 2)) 1)
(log.f64 (exp.f64 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) 2))))
(cbrt.f64 (.f64 (.f64 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z)) (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) 2)) (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z)) (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) 2))) (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) 2))))
(expm1.f64 (log1p.f64 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) 2))))
(exp.f64 (log.f64 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) 2))))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) 2))))
(fma.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 6765203681218851/10000000000000 z) (neg.f64 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) 2)))

simplify224.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

620×	`fma-def`
542×	`times-frac`
502×	`associate-l`
486×	`associate-r`
464×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	470	8060
1	1207	7972
2	4608	7696

Stop Event

1×	node limit

Counts

196 → 292

Calls

Call 1

Inputs
-294358381936901/5000000000000
(-.f64 (*.f64 294358381936901/15000000000000 z) 294358381936901/5000000000000)
(-.f64 (+.f64 (.f64 -294358381936901/45000000000000 (pow.f64 z 2)) (.f64 294358381936901/15000000000000 z)) 294358381936901/5000000000000)
(-.f64 (+.f64 (.f64 -294358381936901/45000000000000 (pow.f64 z 2)) (+.f64 (.f64 294358381936901/15000000000000 z) (*.f64 294358381936901/135000000000000 (pow.f64 z 3)))) 294358381936901/5000000000000)
(/.f64 -883075145810703/5000000000000 z)
(-.f64 (.f64 2649225437432109/5000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 883075145810703/5000000000000 (/.f64 1 z)))
(-.f64 (.f64 2649225437432109/5000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 7947676312296327/5000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 883075145810703/5000000000000 (/.f64 1 z))))
(-.f64 (+.f64 (.f64 23843028936888981/5000000000000 (/.f64 1 (pow.f64 z 4))) (.f64 2649225437432109/5000000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (.f64 7947676312296327/5000000000000 (/.f64 1 (pow.f64 z 3))) (.f64 883075145810703/5000000000000 (/.f64 1 z))))
(/.f64 -883075145810703/5000000000000 z)
(-.f64 (.f64 2649225437432109/5000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 883075145810703/5000000000000 (/.f64 1 z)))
(-.f64 (.f64 2649225437432109/5000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 7947676312296327/5000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 883075145810703/5000000000000 (/.f64 1 z))))
(-.f64 (+.f64 (.f64 23843028936888981/5000000000000 (/.f64 1 (pow.f64 z 4))) (.f64 2649225437432109/5000000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (.f64 7947676312296327/5000000000000 (/.f64 1 (pow.f64 z 3))) (.f64 883075145810703/5000000000000 (/.f64 1 z))))
7713234287776531/20000000000000
(+.f64 7713234287776531/20000000000000 (*.f64 -7713234287776531/40000000000000 z))
(+.f64 7713234287776531/20000000000000 (+.f64 (.f64 -7713234287776531/40000000000000 z) (.f64 7713234287776531/80000000000000 (pow.f64 z 2))))
(+.f64 (.f64 -7713234287776531/160000000000000 (pow.f64 z 3)) (+.f64 7713234287776531/20000000000000 (+.f64 (.f64 -7713234287776531/40000000000000 z) (*.f64 7713234287776531/80000000000000 (pow.f64 z 2)))))
(/.f64 7713234287776531/10000000000000 z)
(-.f64 (.f64 7713234287776531/10000000000000 (/.f64 1 z)) (.f64 7713234287776531/5000000000000 (/.f64 1 (pow.f64 z 2))))
(-.f64 (+.f64 (.f64 7713234287776531/2500000000000 (/.f64 1 (pow.f64 z 3))) (.f64 7713234287776531/10000000000000 (/.f64 1 z))) (*.f64 7713234287776531/5000000000000 (/.f64 1 (pow.f64 z 2))))
(-.f64 (+.f64 (.f64 7713234287776531/2500000000000 (/.f64 1 (pow.f64 z 3))) (.f64 7713234287776531/10000000000000 (/.f64 1 z))) (+.f64 (.f64 7713234287776531/5000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 7713234287776531/1250000000000 (/.f64 1 (pow.f64 z 4)))))
(/.f64 7713234287776531/10000000000000 z)
(-.f64 (.f64 7713234287776531/10000000000000 (/.f64 1 z)) (.f64 7713234287776531/5000000000000 (/.f64 1 (pow.f64 z 2))))
(-.f64 (+.f64 (.f64 7713234287776531/2500000000000 (/.f64 1 (pow.f64 z 3))) (.f64 7713234287776531/10000000000000 (/.f64 1 z))) (*.f64 7713234287776531/5000000000000 (/.f64 1 (pow.f64 z 2))))
(-.f64 (+.f64 (.f64 7713234287776531/2500000000000 (/.f64 1 (pow.f64 z 3))) (.f64 7713234287776531/10000000000000 (/.f64 1 z))) (+.f64 (.f64 7713234287776531/5000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 7713234287776531/1250000000000 (/.f64 1 (pow.f64 z 4)))))
1627039725249339258982387/525000000000000000000000
(+.f64 1627039725249339258982387/525000000000000000000000 (*.f64 -267413577079622897281123/344531250000000000000000 z))
(+.f64 1627039725249339258982387/525000000000000000000000 (+.f64 (.f64 -267413577079622897281123/344531250000000000000000 z) (.f64 89979281735637421015992791/463050000000000000000000000 (pow.f64 z 2))))
(+.f64 1627039725249339258982387/525000000000000000000000 (+.f64 (.f64 -267413577079622897281123/344531250000000000000000 z) (+.f64 (.f64 -472930180101341472286462573/9724050000000000000000000000 (pow.f64 z 3)) (*.f64 89979281735637421015992791/463050000000000000000000000 (pow.f64 z 2)))))
(/.f64 309219557958850910362579/25000000000000000000000 z)
(-.f64 (.f64 309219557958850910362579/25000000000000000000000 (/.f64 1 z)) (.f64 1233414464964485053048753/25000000000000000000000 (/.f64 1 (pow.f64 z 2))))
(-.f64 (+.f64 (.f64 4916339547306317198405471/25000000000000000000000 (/.f64 1 (pow.f64 z 3))) (.f64 309219557958850910362579/25000000000000000000000 (/.f64 1 z))) (*.f64 1233414464964485053048753/25000000000000000000000 (/.f64 1 (pow.f64 z 2))))
(-.f64 (+.f64 (.f64 4916339547306317198405471/25000000000000000000000 (/.f64 1 (pow.f64 z 3))) (.f64 309219557958850910362579/25000000000000000000000 (/.f64 1 z))) (+.f64 (.f64 19578769779869464321223497/25000000000000000000000 (/.f64 1 (pow.f64 z 4))) (.f64 1233414464964485053048753/25000000000000000000000 (/.f64 1 (pow.f64 z 2)))))
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(-.f64 (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (-.f64 (-.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))) (/.f64 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) 2) (-.f64 (-.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))))
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(*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))) (-.f64 (-.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))
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(/.f64 (-.f64 (.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z)) (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z))) (.f64 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) 2) (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) 2))) (+.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) 2)))
(pow.f64 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) 2)) 1)
(log.f64 (exp.f64 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) 2))))
(cbrt.f64 (.f64 (.f64 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z)) (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) 2)) (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z)) (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) 2))) (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) 2))))
(expm1.f64 (log1p.f64 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) 2))))
(exp.f64 (log.f64 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) 2))))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) 2))))
(fma.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 6765203681218851/10000000000000 z) (neg.f64 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) 2)))

Outputs
-294358381936901/5000000000000
(-.f64 (*.f64 294358381936901/15000000000000 z) 294358381936901/5000000000000)
(fma.f64 294358381936901/15000000000000 z -294358381936901/5000000000000)
(-.f64 (+.f64 (.f64 -294358381936901/45000000000000 (pow.f64 z 2)) (.f64 294358381936901/15000000000000 z)) 294358381936901/5000000000000)
(+.f64 (.f64 -294358381936901/45000000000000 (.f64 z z)) (fma.f64 294358381936901/15000000000000 z -294358381936901/5000000000000))
(fma.f64 -294358381936901/45000000000000 (*.f64 z z) (fma.f64 294358381936901/15000000000000 z -294358381936901/5000000000000))
(-.f64 (+.f64 (.f64 -294358381936901/45000000000000 (pow.f64 z 2)) (+.f64 (.f64 294358381936901/15000000000000 z) (*.f64 294358381936901/135000000000000 (pow.f64 z 3)))) 294358381936901/5000000000000)
(+.f64 (fma.f64 -294358381936901/45000000000000 (.f64 z z) (fma.f64 294358381936901/15000000000000 z (.f64 294358381936901/135000000000000 (pow.f64 z 3)))) -294358381936901/5000000000000)
(fma.f64 -294358381936901/45000000000000 (.f64 z z) (+.f64 (.f64 294358381936901/135000000000000 (pow.f64 z 3)) (fma.f64 294358381936901/15000000000000 z -294358381936901/5000000000000)))
(+.f64 (fma.f64 294358381936901/15000000000000 z (.f64 z (.f64 z -294358381936901/45000000000000))) (fma.f64 294358381936901/135000000000000 (pow.f64 z 3) -294358381936901/5000000000000))
(/.f64 -883075145810703/5000000000000 z)
(-.f64 (.f64 2649225437432109/5000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 883075145810703/5000000000000 (/.f64 1 z)))
(-.f64 (/.f64 2649225437432109/5000000000000 (*.f64 z z)) (/.f64 883075145810703/5000000000000 z))
(+.f64 (/.f64 2649225437432109/5000000000000 (*.f64 z z)) (/.f64 -883075145810703/5000000000000 z))
(-.f64 (.f64 2649225437432109/5000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 7947676312296327/5000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 883075145810703/5000000000000 (/.f64 1 z))))
(-.f64 (-.f64 (/.f64 2649225437432109/5000000000000 (*.f64 z z)) (/.f64 7947676312296327/5000000000000 (pow.f64 z 3))) (/.f64 883075145810703/5000000000000 z))
(+.f64 (-.f64 (/.f64 2649225437432109/5000000000000 (*.f64 z z)) (/.f64 7947676312296327/5000000000000 (pow.f64 z 3))) (/.f64 -883075145810703/5000000000000 z))
(+.f64 (/.f64 2649225437432109/5000000000000 (*.f64 z z)) (+.f64 (/.f64 -883075145810703/5000000000000 z) (/.f64 -7947676312296327/5000000000000 (pow.f64 z 3))))
(-.f64 (+.f64 (.f64 23843028936888981/5000000000000 (/.f64 1 (pow.f64 z 4))) (.f64 2649225437432109/5000000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (.f64 7947676312296327/5000000000000 (/.f64 1 (pow.f64 z 3))) (.f64 883075145810703/5000000000000 (/.f64 1 z))))
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(+.f64 (/.f64 2649225437432109/5000000000000 (*.f64 z z)) (-.f64 (/.f64 23843028936888981/5000000000000 (pow.f64 z 4)) (+.f64 (/.f64 883075145810703/5000000000000 z) (/.f64 7947676312296327/5000000000000 (pow.f64 z 3)))))
(+.f64 (/.f64 2649225437432109/5000000000000 (*.f64 z z)) (+.f64 (/.f64 23843028936888981/5000000000000 (pow.f64 z 4)) (+.f64 (/.f64 -883075145810703/5000000000000 z) (/.f64 -7947676312296327/5000000000000 (pow.f64 z 3)))))
(/.f64 -883075145810703/5000000000000 z)
(-.f64 (.f64 2649225437432109/5000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 883075145810703/5000000000000 (/.f64 1 z)))
(-.f64 (/.f64 2649225437432109/5000000000000 (*.f64 z z)) (/.f64 883075145810703/5000000000000 z))
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(-.f64 (-.f64 (/.f64 2649225437432109/5000000000000 (*.f64 z z)) (/.f64 7947676312296327/5000000000000 (pow.f64 z 3))) (/.f64 883075145810703/5000000000000 z))
(+.f64 (-.f64 (/.f64 2649225437432109/5000000000000 (*.f64 z z)) (/.f64 7947676312296327/5000000000000 (pow.f64 z 3))) (/.f64 -883075145810703/5000000000000 z))
(+.f64 (/.f64 2649225437432109/5000000000000 (*.f64 z z)) (+.f64 (/.f64 -883075145810703/5000000000000 z) (/.f64 -7947676312296327/5000000000000 (pow.f64 z 3))))
(-.f64 (+.f64 (.f64 23843028936888981/5000000000000 (/.f64 1 (pow.f64 z 4))) (.f64 2649225437432109/5000000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (.f64 7947676312296327/5000000000000 (/.f64 1 (pow.f64 z 3))) (.f64 883075145810703/5000000000000 (/.f64 1 z))))
(+.f64 (/.f64 23843028936888981/5000000000000 (pow.f64 z 4)) (-.f64 (-.f64 (/.f64 2649225437432109/5000000000000 (*.f64 z z)) (/.f64 7947676312296327/5000000000000 (pow.f64 z 3))) (/.f64 883075145810703/5000000000000 z)))
(+.f64 (/.f64 2649225437432109/5000000000000 (*.f64 z z)) (-.f64 (/.f64 23843028936888981/5000000000000 (pow.f64 z 4)) (+.f64 (/.f64 883075145810703/5000000000000 z) (/.f64 7947676312296327/5000000000000 (pow.f64 z 3)))))
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7713234287776531/20000000000000
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(+.f64 7713234287776531/20000000000000 (*.f64 z -7713234287776531/40000000000000))
(fma.f64 z -7713234287776531/40000000000000 7713234287776531/20000000000000)
(+.f64 7713234287776531/20000000000000 (+.f64 (.f64 -7713234287776531/40000000000000 z) (.f64 7713234287776531/80000000000000 (pow.f64 z 2))))
(+.f64 7713234287776531/20000000000000 (fma.f64 -7713234287776531/40000000000000 z (.f64 (.f64 z z) 7713234287776531/80000000000000)))
(+.f64 (fma.f64 z -7713234287776531/40000000000000 7713234287776531/20000000000000) (.f64 z (.f64 z 7713234287776531/80000000000000)))
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(fma.f64 -7713234287776531/160000000000000 (pow.f64 z 3) (+.f64 7713234287776531/20000000000000 (fma.f64 -7713234287776531/40000000000000 z (.f64 (.f64 z z) 7713234287776531/80000000000000))))
(+.f64 (fma.f64 z -7713234287776531/40000000000000 (.f64 z (.f64 z 7713234287776531/80000000000000))) (fma.f64 (pow.f64 z 3) -7713234287776531/160000000000000 7713234287776531/20000000000000))
(/.f64 7713234287776531/10000000000000 z)
(-.f64 (.f64 7713234287776531/10000000000000 (/.f64 1 z)) (.f64 7713234287776531/5000000000000 (/.f64 1 (pow.f64 z 2))))
(-.f64 (/.f64 7713234287776531/10000000000000 z) (/.f64 7713234287776531/5000000000000 (*.f64 z z)))
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(/.f64 7713234287776531/10000000000000 z)
(-.f64 (.f64 7713234287776531/10000000000000 (/.f64 1 z)) (.f64 7713234287776531/5000000000000 (/.f64 1 (pow.f64 z 2))))
(-.f64 (/.f64 7713234287776531/10000000000000 z) (/.f64 7713234287776531/5000000000000 (*.f64 z z)))
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(-.f64 (+.f64 (.f64 7713234287776531/2500000000000 (/.f64 1 (pow.f64 z 3))) (.f64 7713234287776531/10000000000000 (/.f64 1 z))) (+.f64 (.f64 7713234287776531/5000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 7713234287776531/1250000000000 (/.f64 1 (pow.f64 z 4)))))
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(-.f64 (+.f64 (/.f64 7713234287776531/10000000000000 z) (+.f64 (/.f64 7713234287776531/2500000000000 (pow.f64 z 3)) (/.f64 -7713234287776531/5000000000000 (*.f64 z z)))) (/.f64 7713234287776531/1250000000000 (pow.f64 z 4)))
(+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 z) (/.f64 7713234287776531/2500000000000 (pow.f64 z 3))) (+.f64 (/.f64 -7713234287776531/5000000000000 (*.f64 z z)) (/.f64 -7713234287776531/1250000000000 (pow.f64 z 4))))
1627039725249339258982387/525000000000000000000000
(+.f64 1627039725249339258982387/525000000000000000000000 (*.f64 -267413577079622897281123/344531250000000000000000 z))
(+.f64 1627039725249339258982387/525000000000000000000000 (*.f64 z -267413577079622897281123/344531250000000000000000))
(fma.f64 z -267413577079622897281123/344531250000000000000000 1627039725249339258982387/525000000000000000000000)
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(+.f64 (fma.f64 z -267413577079622897281123/344531250000000000000000 1627039725249339258982387/525000000000000000000000) (.f64 z (.f64 z 89979281735637421015992791/463050000000000000000000000)))
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(/.f64 309219557958850910362579/25000000000000000000000 z)
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(-.f64 (/.f64 309219557958850910362579/25000000000000000000000 z) (/.f64 1233414464964485053048753/25000000000000000000000 (*.f64 z z)))
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(log1p.f64 (expm1.f64 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) 2))))
(-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (pow.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) 2))
(-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (pow.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) 2))
(-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (pow.f64 (-.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 883075145810703/5000000000000 (+.f64 z 3)) (/.f64 -7713234287776531/10000000000000 (+.f64 z 2)))) 2))
(fma.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 6765203681218851/10000000000000 z) (neg.f64 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) 2)))
(*.f64 (-.f64 (-.f64 (-.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))
(*.f64 (-.f64 (-.f64 (-.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 6765203681218851/10000000000000 z))))
(-.f64 (*.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 6765203681218851/10000000000000 z)) (pow.f64 (-.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 883075145810703/5000000000000 (+.f64 z 3)) (/.f64 -7713234287776531/10000000000000 (+.f64 z 2)))) 2))

eval2.8s (5.7%)

Compiler: Compiled 118594 to 97138 computations (18.1% saved)

prune444.0ms (0.9%)

Pruning

21 alts after pruning (18 fresh and 3 done)

	Pruned	Kept	Total
New	1414	11	1425
Fresh	1	7	8
Picked	3	2	5
Done	0	1	1
Total	1418	21	1439

Accurracy

100.0%

Counts

1439 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	1.9%	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (.f64 (.f64 (cbrt.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (cbrt.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)))) (cbrt.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
	1.9%	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (*.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 z -2)))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
	1.9%	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))
	1.9%	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 (/.f64 (-.f64 (.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z)) (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z))) (pow.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) 4)) (+.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (pow.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) 2))) (-.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))
✓	1.9%	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 (-.f64 (.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 6765203681218851/10000000000000 z)) (*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))))) (-.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))
	0.4%	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 30223877537487/2500000000000 z) (/.f64 309219557958850910362579/25000000000000000000000 z))))
▶	0.3%	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 30223877537487/2500000000000 z) 1627039725249339258982387/525000000000000000000000)))
✓	1.9%	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))
	0.6%	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 153960904158449/625000000000 (.f64 z z)) (/.f64 30223877537487/2500000000000 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))
▶	1.9%	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (-.f64 z -2))))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))
▶	5.6%	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (.f64 130311870198853951/120000000000000 z) 18646983574419129/20000000000000)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))
	3.3%	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) (/.f64 309219557958850910362579/25000000000000000000000 z))))
	55.0%	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) (+.f64 (fma.f64 z -267413577079622897281123/344531250000000000000000 1627039725249339258982387/525000000000000000000000) (.f64 z (*.f64 z 89979281735637421015992791/463050000000000000000000000))))))
▶	55.3%	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) (+.f64 1627039725249339258982387/525000000000000000000000 (fma.f64 -267413577079622897281123/344531250000000000000000 z (.f64 (*.f64 z z) 89979281735637421015992791/463050000000000000000000000))))))
	3.3%	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) 1627039725249339258982387/525000000000000000000000)))
	3.3%	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 z) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))
	0.5%	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 z 13/2) (-.f64 z 1/2)) (exp.f64 (neg.f64 (+.f64 z 13/2))))) (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (/.f64 -4878157879447497/10000000000000 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))
	1.9%	(.f64 (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (+.f64 13/2 z)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
✓	1.9%	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 (.f64 6765203681218851/10000000000000 (+.f64 z 1)) (.f64 z -3147848041806007/2500000000000)) (.f64 z (+.f64 z 1)))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))) (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))))
▶	99.9%	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 (.f64 6765203681218851/10000000000000 (+.f64 z 1)) (.f64 z -3147848041806007/2500000000000)) (.f64 z (+.f64 z 1)))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))) (exp.f64 (+.f64 (neg.f64 (*.f64 (log.f64 (-.f64 13/2 (neg.f64 z))) (fma.f64 -1 z 1/2))) (-.f64 -13/2 z)))))
	98.4%	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))) (exp.f64 (fma.f64 (neg.f64 (log.f64 (+.f64 13/2 z))) (-.f64 1/2 z) (-.f64 -13/2 z)))))
	1.9%	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (.f64 (.f64 (cbrt.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (cbrt.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)))) (cbrt.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
	1.9%	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (*.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 z -2)))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
	1.9%	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))
	1.9%	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 (/.f64 (-.f64 (.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z)) (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z))) (pow.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) 4)) (+.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (pow.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) 2))) (-.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))
✓	1.9%	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 (-.f64 (.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 6765203681218851/10000000000000 z)) (*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))))) (-.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))
	0.4%	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 30223877537487/2500000000000 z) (/.f64 309219557958850910362579/25000000000000000000000 z))))
▶	0.3%	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 30223877537487/2500000000000 z) 1627039725249339258982387/525000000000000000000000)))
✓	1.9%	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))
	0.6%	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 153960904158449/625000000000 (.f64 z z)) (/.f64 30223877537487/2500000000000 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))
▶	1.9%	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (-.f64 z -2))))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))
▶	5.6%	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (.f64 130311870198853951/120000000000000 z) 18646983574419129/20000000000000)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))
	3.3%	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) (/.f64 309219557958850910362579/25000000000000000000000 z))))
	55.0%	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) (+.f64 (fma.f64 z -267413577079622897281123/344531250000000000000000 1627039725249339258982387/525000000000000000000000) (.f64 z (*.f64 z 89979281735637421015992791/463050000000000000000000000))))))
▶	55.3%	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) (+.f64 1627039725249339258982387/525000000000000000000000 (fma.f64 -267413577079622897281123/344531250000000000000000 z (.f64 (*.f64 z z) 89979281735637421015992791/463050000000000000000000000))))))
	3.3%	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) 1627039725249339258982387/525000000000000000000000)))
	3.3%	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 z) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))
	0.5%	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 z 13/2) (-.f64 z 1/2)) (exp.f64 (neg.f64 (+.f64 z 13/2))))) (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (/.f64 -4878157879447497/10000000000000 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))
	1.9%	(.f64 (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (+.f64 13/2 z)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
✓	1.9%	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 (.f64 6765203681218851/10000000000000 (+.f64 z 1)) (.f64 z -3147848041806007/2500000000000)) (.f64 z (+.f64 z 1)))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))) (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))))
▶	99.9%	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 (.f64 6765203681218851/10000000000000 (+.f64 z 1)) (.f64 z -3147848041806007/2500000000000)) (.f64 z (+.f64 z 1)))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))) (exp.f64 (+.f64 (neg.f64 (*.f64 (log.f64 (-.f64 13/2 (neg.f64 z))) (fma.f64 -1 z 1/2))) (-.f64 -13/2 z)))))
	98.4%	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))) (exp.f64 (fma.f64 (neg.f64 (log.f64 (+.f64 13/2 z))) (-.f64 1/2 z) (-.f64 -13/2 z)))))

Compiler

Compiled 4972 to 4202 computations (15.5% saved)

localize3.8s (7.7%)

Local Accuracy

Found 20 expressions with local accuracy:

New	Accuracy	Program
	99.2%	(+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))
	98.4%	(sqrt.f64 (*.f64 (PI.f64) 2))
	98.4%	(/.f64 (sqrt.f64 2/13) (exp.f64 13/2))
	93.9%	(+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3)))))
	99.3%	(/.f64 -883075145810703/5000000000000 (+.f64 z 3))
	98.4%	(sqrt.f64 (*.f64 (PI.f64) 2))
✓	92.6%	(+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (-.f64 z -2)))))
	21.9%	(/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))
	99.5%	(+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))
✓	99.4%	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (.f64 130311870198853951/120000000000000 z) 18646983574419129/20000000000000)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))
	98.4%	(sqrt.f64 (*.f64 (PI.f64) 2))
	98.4%	(/.f64 (sqrt.f64 2/13) (exp.f64 13/2))
✓	99.9%	(exp.f64 (+.f64 z 13/2))
✓	99.8%	(/.f64 30223877537487/2500000000000 z)
	98.4%	(sqrt.f64 (*.f64 (PI.f64) 2))
	21.9%	(/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))
	99.3%	(/.f64 -883075145810703/5000000000000 (+.f64 z 3))
	99.0%	(+.f64 (.f64 6765203681218851/10000000000000 (+.f64 z 1)) (.f64 z -3147848041806007/2500000000000))
	98.4%	(sqrt.f64 (*.f64 (PI.f64) 2))
	50.5%	(/.f64 (+.f64 (.f64 6765203681218851/10000000000000 (+.f64 z 1)) (.f64 z -3147848041806007/2500000000000)) (*.f64 z (+.f64 z 1)))

Compiler

Compiled 1504 to 1190 computations (20.9% saved)

series5.0ms (0%)

Counts

4 → 36

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	z	@	0	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (.f64 130311870198853951/120000000000000 z) 18646983574419129/20000000000000)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))
1.0ms	z	@	inf	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (.f64 130311870198853951/120000000000000 z) 18646983574419129/20000000000000)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))
1.0ms	z	@	-inf	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (.f64 130311870198853951/120000000000000 z) 18646983574419129/20000000000000)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))
0.0ms	z	@	0	(/.f64 30223877537487/2500000000000 z)
0.0ms	z	@	inf	(/.f64 30223877537487/2500000000000 z)

rewrite103.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1502×	`add-exp-log`
1502×	`add-log-exp`
1498×	`log1p-expm1-u`
1498×	`add-cube-cbrt`
1498×	`expm1-log1p-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	216
1	1561	216

Stop Event

1×	node limit

Counts

4 → 38

Calls

Call 1

Inputs
(/.f64 30223877537487/2500000000000 z)
(exp.f64 (+.f64 z 13/2))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (.f64 130311870198853951/120000000000000 z) 18646983574419129/20000000000000)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))
(+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (-.f64 z -2)))))

Outputs
(*.f64 30223877537487/2500000000000 (/.f64 1 z))
(*.f64 1 (/.f64 30223877537487/2500000000000 z))
(.f64 (.f64 (cbrt.f64 (/.f64 30223877537487/2500000000000 z)) (cbrt.f64 (/.f64 30223877537487/2500000000000 z))) (cbrt.f64 (/.f64 30223877537487/2500000000000 z)))
(*.f64 (sqrt.f64 (/.f64 30223877537487/2500000000000 z)) (sqrt.f64 (/.f64 30223877537487/2500000000000 z)))
(pow.f64 (/.f64 30223877537487/2500000000000 z) 1)
(log.f64 (exp.f64 (/.f64 30223877537487/2500000000000 z)))
(cbrt.f64 (.f64 (.f64 (/.f64 30223877537487/2500000000000 z) (/.f64 30223877537487/2500000000000 z)) (/.f64 30223877537487/2500000000000 z)))
(expm1.f64 (log1p.f64 (/.f64 30223877537487/2500000000000 z)))
(exp.f64 (log.f64 (/.f64 30223877537487/2500000000000 z)))
(log1p.f64 (expm1.f64 (/.f64 30223877537487/2500000000000 z)))
(*.f64 1 (exp.f64 (+.f64 z 13/2)))
(*.f64 (exp.f64 z) (exp.f64 13/2))
(.f64 (.f64 (cbrt.f64 (exp.f64 (+.f64 z 13/2))) (cbrt.f64 (exp.f64 (+.f64 z 13/2)))) (cbrt.f64 (exp.f64 (+.f64 z 13/2))))
(*.f64 (sqrt.f64 (exp.f64 (+.f64 z 13/2))) (sqrt.f64 (exp.f64 (+.f64 z 13/2))))
(pow.f64 (exp.f64 (+.f64 z 13/2)) 1)
(log.f64 (exp.f64 (exp.f64 (+.f64 z 13/2))))
(cbrt.f64 (.f64 (.f64 (exp.f64 (+.f64 z 13/2)) (exp.f64 (+.f64 z 13/2))) (exp.f64 (+.f64 z 13/2))))
(expm1.f64 (log1p.f64 (exp.f64 (+.f64 z 13/2))))
(log1p.f64 (expm1.f64 (exp.f64 (+.f64 z 13/2))))
(+.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) 9999999999998099/10000000000000000) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 130311870198853951/120000000000000 z -18646983574419129/20000000000000)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))
(+.f64 (.f64 9999999999998099/10000000000000000 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) (.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 130311870198853951/120000000000000 z -18646983574419129/20000000000000)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))))
(pow.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 130311870198853951/120000000000000 z -18646983574419129/20000000000000)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))) 1)
(log.f64 (exp.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 130311870198853951/120000000000000 z -18646983574419129/20000000000000)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))))))
(cbrt.f64 (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 130311870198853951/120000000000000 z -18646983574419129/20000000000000)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 130311870198853951/120000000000000 z -18646983574419129/20000000000000)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 130311870198853951/120000000000000 z -18646983574419129/20000000000000)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))))))
(expm1.f64 (log1p.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 130311870198853951/120000000000000 z -18646983574419129/20000000000000)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))))))
(exp.f64 (log.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 130311870198853951/120000000000000 z -18646983574419129/20000000000000)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))))))
(log1p.f64 (expm1.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 130311870198853951/120000000000000 z -18646983574419129/20000000000000)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))))))
(*.f64 1 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))))
(.f64 (.f64 (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))))) (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (sqrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) 3) (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) 3)) (+.f64 (.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (-.f64 (.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))) (*.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))))))
(/.f64 (-.f64 (.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))))
(pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))) 1)
(log.f64 (exp.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))))
(cbrt.f64 (.f64 (.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))))
(exp.f64 (log.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))))

simplify121.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1790×	`fma-def`
990×	`associate-+r+`
974×	`associate-*r/`
944×	`associate-+l+`
854×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	235	4254
1	612	4150
2	2493	3858

Stop Event

1×	node limit

Counts

74 → 114

Calls

Call 1

Inputs
(exp.f64 13/2)
(+.f64 (exp.f64 13/2) (*.f64 (exp.f64 13/2) z))
(+.f64 (.f64 1/2 (.f64 (exp.f64 13/2) (pow.f64 z 2))) (+.f64 (exp.f64 13/2) (*.f64 (exp.f64 13/2) z)))
(+.f64 (.f64 1/2 (.f64 (exp.f64 13/2) (pow.f64 z 2))) (+.f64 (exp.f64 13/2) (+.f64 (.f64 1/6 (.f64 (exp.f64 13/2) (pow.f64 z 3))) (*.f64 (exp.f64 13/2) z))))
(exp.f64 (+.f64 13/2 z))
(exp.f64 (+.f64 13/2 z))
(exp.f64 (+.f64 13/2 z))
(exp.f64 (+.f64 13/2 z))
(exp.f64 (-.f64 13/2 (*.f64 -1 z)))
(exp.f64 (-.f64 13/2 (*.f64 -1 z)))
(exp.f64 (-.f64 13/2 (*.f64 -1 z)))
(exp.f64 (-.f64 13/2 (*.f64 -1 z)))
(.f64 6765203681218851/10000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (.f64 (exp.f64 13/2) z)) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 -487331279103252896793517613/525000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2)) (sqrt.f64 (PI.f64)))) (.f64 6765203681218851/10000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (*.f64 (exp.f64 13/2) z)) (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 -487331279103252896793517613/525000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2)) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 373870182501661212981625127/344531250000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 z (sqrt.f64 2/13))) (exp.f64 13/2)) (sqrt.f64 (PI.f64)))) (.f64 6765203681218851/10000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (*.f64 (exp.f64 13/2) z)) (sqrt.f64 (PI.f64))))))
(+.f64 (.f64 -487331279103252896793517613/525000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2)) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 373870182501661212981625127/344531250000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 z (sqrt.f64 2/13))) (exp.f64 13/2)) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 6765203681218851/10000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (.f64 (exp.f64 13/2) z)) (sqrt.f64 (PI.f64)))) (.f64 89979281735637421015992791/463050000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 z 2) (sqrt.f64 2/13))) (exp.f64 13/2)) (sqrt.f64 (PI.f64)))))))
(.f64 130311870198853951/120000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 z (sqrt.f64 2/13))) (exp.f64 13/2)) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 -9313491787209566401/10000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2)) (sqrt.f64 (PI.f64)))) (.f64 130311870198853951/120000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (*.f64 z (sqrt.f64 2/13))) (exp.f64 13/2)) (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 17222228761005978410362579/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (.f64 (exp.f64 13/2) z)) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 -9313491787209566401/10000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2)) (sqrt.f64 (PI.f64)))) (.f64 130311870198853951/120000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (*.f64 z (sqrt.f64 2/13))) (exp.f64 13/2)) (sqrt.f64 (PI.f64))))))
(+.f64 (.f64 -1233414464964485053048753/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (.f64 (exp.f64 13/2) (pow.f64 z 2))) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 17222228761005978410362579/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (.f64 (exp.f64 13/2) z)) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 -9313491787209566401/10000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2)) (sqrt.f64 (PI.f64)))) (.f64 130311870198853951/120000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (*.f64 z (sqrt.f64 2/13))) (exp.f64 13/2)) (sqrt.f64 (PI.f64)))))))
(.f64 130311870198853951/120000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 z (sqrt.f64 2/13))) (exp.f64 13/2)) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 -9313491787209566401/10000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2)) (sqrt.f64 (PI.f64)))) (.f64 130311870198853951/120000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (*.f64 z (sqrt.f64 2/13))) (exp.f64 13/2)) (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 17222228761005978410362579/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (.f64 (exp.f64 13/2) z)) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 -9313491787209566401/10000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2)) (sqrt.f64 (PI.f64)))) (.f64 130311870198853951/120000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (*.f64 z (sqrt.f64 2/13))) (exp.f64 13/2)) (sqrt.f64 (PI.f64))))))
(+.f64 (.f64 -1233414464964485053048753/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (.f64 (exp.f64 13/2) (pow.f64 z 2))) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 17222228761005978410362579/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (.f64 (exp.f64 13/2) z)) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 -9313491787209566401/10000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2)) (sqrt.f64 (PI.f64)))) (.f64 130311870198853951/120000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (*.f64 z (sqrt.f64 2/13))) (exp.f64 13/2)) (sqrt.f64 (PI.f64)))))))
(/.f64 6765203681218851/10000000000000 z)
(-.f64 (*.f64 6765203681218851/10000000000000 (/.f64 1 z)) 18646983574419129/20000000000000)
(-.f64 (+.f64 (.f64 130311870198853951/120000000000000 z) (.f64 6765203681218851/10000000000000 (/.f64 1 z))) 18646983574419129/20000000000000)
(-.f64 (+.f64 (.f64 130311870198853951/120000000000000 z) (+.f64 (.f64 -841870861561131653/720000000000000 (pow.f64 z 2)) (*.f64 6765203681218851/10000000000000 (/.f64 1 z)))) 18646983574419129/20000000000000)
(/.f64 30223877537487/2500000000000 z)
(+.f64 (.f64 153960904158449/625000000000 (/.f64 1 (pow.f64 z 2))) (.f64 30223877537487/2500000000000 (/.f64 1 z)))
(+.f64 (.f64 153960904158449/625000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 30223877537487/2500000000000 (/.f64 1 z)) (*.f64 1183096179644721/5000000000000 (/.f64 1 (pow.f64 z 3)))))
(-.f64 (+.f64 (.f64 153960904158449/625000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 30223877537487/2500000000000 (/.f64 1 z)) (.f64 1183096179644721/5000000000000 (/.f64 1 (pow.f64 z 3))))) (.f64 714212130605129/5000000000000 (/.f64 1 (pow.f64 z 4))))
(/.f64 30223877537487/2500000000000 z)
(+.f64 (.f64 153960904158449/625000000000 (/.f64 1 (pow.f64 z 2))) (.f64 30223877537487/2500000000000 (/.f64 1 z)))
(+.f64 (.f64 153960904158449/625000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 30223877537487/2500000000000 (/.f64 1 z)) (*.f64 1183096179644721/5000000000000 (/.f64 1 (pow.f64 z 3)))))
(-.f64 (+.f64 (.f64 153960904158449/625000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 30223877537487/2500000000000 (/.f64 1 z)) (.f64 1183096179644721/5000000000000 (/.f64 1 (pow.f64 z 3))))) (.f64 714212130605129/5000000000000 (/.f64 1 (pow.f64 z 4))))
(*.f64 30223877537487/2500000000000 (/.f64 1 z))
(*.f64 1 (/.f64 30223877537487/2500000000000 z))
(.f64 (.f64 (cbrt.f64 (/.f64 30223877537487/2500000000000 z)) (cbrt.f64 (/.f64 30223877537487/2500000000000 z))) (cbrt.f64 (/.f64 30223877537487/2500000000000 z)))
(*.f64 (sqrt.f64 (/.f64 30223877537487/2500000000000 z)) (sqrt.f64 (/.f64 30223877537487/2500000000000 z)))
(pow.f64 (/.f64 30223877537487/2500000000000 z) 1)
(log.f64 (exp.f64 (/.f64 30223877537487/2500000000000 z)))
(cbrt.f64 (.f64 (.f64 (/.f64 30223877537487/2500000000000 z) (/.f64 30223877537487/2500000000000 z)) (/.f64 30223877537487/2500000000000 z)))
(expm1.f64 (log1p.f64 (/.f64 30223877537487/2500000000000 z)))
(exp.f64 (log.f64 (/.f64 30223877537487/2500000000000 z)))
(log1p.f64 (expm1.f64 (/.f64 30223877537487/2500000000000 z)))
(*.f64 1 (exp.f64 (+.f64 z 13/2)))
(*.f64 (exp.f64 z) (exp.f64 13/2))
(.f64 (.f64 (cbrt.f64 (exp.f64 (+.f64 z 13/2))) (cbrt.f64 (exp.f64 (+.f64 z 13/2)))) (cbrt.f64 (exp.f64 (+.f64 z 13/2))))
(*.f64 (sqrt.f64 (exp.f64 (+.f64 z 13/2))) (sqrt.f64 (exp.f64 (+.f64 z 13/2))))
(pow.f64 (exp.f64 (+.f64 z 13/2)) 1)
(log.f64 (exp.f64 (exp.f64 (+.f64 z 13/2))))
(cbrt.f64 (.f64 (.f64 (exp.f64 (+.f64 z 13/2)) (exp.f64 (+.f64 z 13/2))) (exp.f64 (+.f64 z 13/2))))
(expm1.f64 (log1p.f64 (exp.f64 (+.f64 z 13/2))))
(log1p.f64 (expm1.f64 (exp.f64 (+.f64 z 13/2))))
(+.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) 9999999999998099/10000000000000000) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 130311870198853951/120000000000000 z -18646983574419129/20000000000000)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))
(+.f64 (.f64 9999999999998099/10000000000000000 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) (.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 130311870198853951/120000000000000 z -18646983574419129/20000000000000)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))))
(pow.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 130311870198853951/120000000000000 z -18646983574419129/20000000000000)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))) 1)
(log.f64 (exp.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 130311870198853951/120000000000000 z -18646983574419129/20000000000000)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))))))
(cbrt.f64 (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 130311870198853951/120000000000000 z -18646983574419129/20000000000000)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 130311870198853951/120000000000000 z -18646983574419129/20000000000000)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 130311870198853951/120000000000000 z -18646983574419129/20000000000000)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))))))
(expm1.f64 (log1p.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 130311870198853951/120000000000000 z -18646983574419129/20000000000000)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))))))
(exp.f64 (log.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 130311870198853951/120000000000000 z -18646983574419129/20000000000000)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))))))
(log1p.f64 (expm1.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 130311870198853951/120000000000000 z -18646983574419129/20000000000000)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))))))
(*.f64 1 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))))
(.f64 (.f64 (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))))) (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (sqrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) 3) (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) 3)) (+.f64 (.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (-.f64 (.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))) (*.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))))))
(/.f64 (-.f64 (.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))))
(pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))) 1)
(log.f64 (exp.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))))
(cbrt.f64 (.f64 (.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))))
(exp.f64 (log.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))))

Outputs
(exp.f64 13/2)
(+.f64 (exp.f64 13/2) (*.f64 (exp.f64 13/2) z))
(*.f64 (+.f64 z 1) (exp.f64 13/2))
(+.f64 (.f64 1/2 (.f64 (exp.f64 13/2) (pow.f64 z 2))) (+.f64 (exp.f64 13/2) (*.f64 (exp.f64 13/2) z)))
(fma.f64 1/2 (.f64 (exp.f64 13/2) (.f64 z z)) (+.f64 (exp.f64 13/2) (*.f64 (exp.f64 13/2) z)))
(fma.f64 1/2 (.f64 (exp.f64 13/2) (.f64 z z)) (*.f64 (+.f64 z 1) (exp.f64 13/2)))
(.f64 (exp.f64 13/2) (+.f64 (+.f64 z 1) (.f64 1/2 (*.f64 z z))))
(+.f64 (.f64 1/2 (.f64 (exp.f64 13/2) (pow.f64 z 2))) (+.f64 (exp.f64 13/2) (+.f64 (.f64 1/6 (.f64 (exp.f64 13/2) (pow.f64 z 3))) (*.f64 (exp.f64 13/2) z))))
(fma.f64 1/2 (.f64 (exp.f64 13/2) (.f64 z z)) (+.f64 (exp.f64 13/2) (fma.f64 1/6 (.f64 (exp.f64 13/2) (pow.f64 z 3)) (.f64 (exp.f64 13/2) z))))
(+.f64 (fma.f64 1/2 (.f64 (exp.f64 13/2) (.f64 z z)) (.f64 (+.f64 z 1) (exp.f64 13/2))) (.f64 (exp.f64 13/2) (*.f64 (pow.f64 z 3) 1/6)))
(fma.f64 (exp.f64 13/2) (.f64 (.f64 z z) 1/2) (.f64 (exp.f64 13/2) (+.f64 (+.f64 z 1) (.f64 1/6 (pow.f64 z 3)))))
(exp.f64 (+.f64 13/2 z))
(exp.f64 (+.f64 13/2 z))
(exp.f64 (+.f64 13/2 z))
(exp.f64 (+.f64 13/2 z))
(exp.f64 (-.f64 13/2 (*.f64 -1 z)))
(exp.f64 (+.f64 13/2 z))
(exp.f64 (-.f64 13/2 (*.f64 -1 z)))
(exp.f64 (+.f64 13/2 z))
(exp.f64 (-.f64 13/2 (*.f64 -1 z)))
(exp.f64 (+.f64 13/2 z))
(exp.f64 (-.f64 13/2 (*.f64 -1 z)))
(exp.f64 (+.f64 13/2 z))
(.f64 6765203681218851/10000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (.f64 (exp.f64 13/2) z)) (sqrt.f64 (PI.f64))))
(.f64 6765203681218851/10000000000000 (.f64 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (/.f64 (sqrt.f64 2/13) z)) (sqrt.f64 (PI.f64))))
(.f64 6765203681218851/10000000000000 (.f64 (/.f64 (sqrt.f64 2) (*.f64 z (/.f64 (exp.f64 13/2) (sqrt.f64 2/13)))) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13))) (/.f64 6765203681218851/10000000000000 z))
(+.f64 (.f64 -487331279103252896793517613/525000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2)) (sqrt.f64 (PI.f64)))) (.f64 6765203681218851/10000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (*.f64 (exp.f64 13/2) z)) (sqrt.f64 (PI.f64)))))
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(exp.f64 (log.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))))
(+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))
(+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))
(+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))))
(+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))
(+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))
(+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))

eval1.6s (3.3%)

Compiler: Compiled 63782 to 52156 computations (18.2% saved)

prune254.0ms (0.5%)

Pruning

24 alts after pruning (18 fresh and 6 done)

	Pruned	Kept	Total
New	1043	12	1055
Fresh	7	6	13
Picked	2	3	5
Done	0	3	3
Total	1052	24	1076

Accurracy

100.0%

Counts

1076 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	1.9%	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (.f64 (.f64 (cbrt.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (cbrt.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)))) (cbrt.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
	1.9%	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (*.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 z -2)))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
▶	98.3%	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 z 1) (exp.f64 13/2)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 30223877537487/2500000000000 z) 1627039725249339258982387/525000000000000000000000)))
	1.9%	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))
	1.9%	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 (/.f64 (-.f64 (.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z)) (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z))) (pow.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) 4)) (+.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (pow.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) 2))) (-.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))
✓	1.9%	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 (-.f64 (.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 6765203681218851/10000000000000 z)) (*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))))) (-.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))
	0.4%	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 30223877537487/2500000000000 z) (/.f64 309219557958850910362579/25000000000000000000000 z))))
✓	0.3%	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 30223877537487/2500000000000 z) 1627039725249339258982387/525000000000000000000000)))
✓	1.9%	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))
	1.9%	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))
	0.5%	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (-.f64 z -2))))) (/.f64 309219557958850910362579/25000000000000000000000 z))))
	0.6%	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (-.f64 z -2))))) (-.f64 (/.f64 309219557958850910362579/25000000000000000000000 z) (/.f64 1233414464964485053048753/25000000000000000000000 (.f64 z z))))))
✓	1.9%	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (-.f64 z -2))))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))
▶	0.3%	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (-.f64 z -2))))) (+.f64 1627039725249339258982387/525000000000000000000000 (.f64 z -267413577079622897281123/344531250000000000000000)))))
	0.4%	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (-.f64 z -2))))) 1627039725249339258982387/525000000000000000000000)))
	98.3%	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 13/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 30223877537487/2500000000000 z) 1627039725249339258982387/525000000000000000000000)))
▶	3.3%	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 30223877537487/2500000000000 z) 1627039725249339258982387/525000000000000000000000)))
	5.6%	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (.f64 130311870198853951/120000000000000 z) 18646983574419129/20000000000000)) (-.f64 (/.f64 309219557958850910362579/25000000000000000000000 z) (/.f64 1233414464964485053048753/25000000000000000000000 (*.f64 z z))))))
▶	5.6%	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (.f64 130311870198853951/120000000000000 z) 18646983574419129/20000000000000)) (+.f64 1627039725249339258982387/525000000000000000000000 (*.f64 z -267413577079622897281123/344531250000000000000000)))))
	5.6%	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (.f64 130311870198853951/120000000000000 z) 18646983574419129/20000000000000)) 1627039725249339258982387/525000000000000000000000)))
▶	1.9%	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 (neg.f64 z) -13/2)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (-.f64 z -2))))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))
	1.9%	(.f64 (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (+.f64 13/2 z)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
✓	1.9%	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 (.f64 6765203681218851/10000000000000 (+.f64 z 1)) (.f64 z -3147848041806007/2500000000000)) (.f64 z (+.f64 z 1)))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))) (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))))
✓	99.9%	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 (.f64 6765203681218851/10000000000000 (+.f64 z 1)) (.f64 z -3147848041806007/2500000000000)) (.f64 z (+.f64 z 1)))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))) (exp.f64 (+.f64 (neg.f64 (*.f64 (log.f64 (-.f64 13/2 (neg.f64 z))) (fma.f64 -1 z 1/2))) (-.f64 -13/2 z)))))
	1.9%	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (.f64 (.f64 (cbrt.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (cbrt.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)))) (cbrt.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
	1.9%	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (*.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 z -2)))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
▶	98.3%	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 z 1) (exp.f64 13/2)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 30223877537487/2500000000000 z) 1627039725249339258982387/525000000000000000000000)))
	1.9%	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))
	1.9%	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 (/.f64 (-.f64 (.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z)) (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z))) (pow.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) 4)) (+.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (pow.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) 2))) (-.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))
✓	1.9%	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 (-.f64 (.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 6765203681218851/10000000000000 z)) (*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))))) (-.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))
	0.4%	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 30223877537487/2500000000000 z) (/.f64 309219557958850910362579/25000000000000000000000 z))))
✓	0.3%	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 30223877537487/2500000000000 z) 1627039725249339258982387/525000000000000000000000)))
✓	1.9%	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))
	1.9%	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))
	0.5%	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (-.f64 z -2))))) (/.f64 309219557958850910362579/25000000000000000000000 z))))
	0.6%	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (-.f64 z -2))))) (-.f64 (/.f64 309219557958850910362579/25000000000000000000000 z) (/.f64 1233414464964485053048753/25000000000000000000000 (.f64 z z))))))
✓	1.9%	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (-.f64 z -2))))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))
▶	0.3%	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (-.f64 z -2))))) (+.f64 1627039725249339258982387/525000000000000000000000 (.f64 z -267413577079622897281123/344531250000000000000000)))))
	0.4%	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (-.f64 z -2))))) 1627039725249339258982387/525000000000000000000000)))
	98.3%	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 13/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 30223877537487/2500000000000 z) 1627039725249339258982387/525000000000000000000000)))
▶	3.3%	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 30223877537487/2500000000000 z) 1627039725249339258982387/525000000000000000000000)))
	5.6%	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (.f64 130311870198853951/120000000000000 z) 18646983574419129/20000000000000)) (-.f64 (/.f64 309219557958850910362579/25000000000000000000000 z) (/.f64 1233414464964485053048753/25000000000000000000000 (*.f64 z z))))))
▶	5.6%	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (.f64 130311870198853951/120000000000000 z) 18646983574419129/20000000000000)) (+.f64 1627039725249339258982387/525000000000000000000000 (*.f64 z -267413577079622897281123/344531250000000000000000)))))
	5.6%	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (.f64 130311870198853951/120000000000000 z) 18646983574419129/20000000000000)) 1627039725249339258982387/525000000000000000000000)))
▶	1.9%	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 (neg.f64 z) -13/2)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (-.f64 z -2))))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))
	1.9%	(.f64 (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (+.f64 13/2 z)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
✓	1.9%	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 (.f64 6765203681218851/10000000000000 (+.f64 z 1)) (.f64 z -3147848041806007/2500000000000)) (.f64 z (+.f64 z 1)))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))) (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))))
✓	99.9%	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 (.f64 6765203681218851/10000000000000 (+.f64 z 1)) (.f64 z -3147848041806007/2500000000000)) (.f64 z (+.f64 z 1)))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))) (exp.f64 (+.f64 (neg.f64 (*.f64 (log.f64 (-.f64 13/2 (neg.f64 z))) (fma.f64 -1 z 1/2))) (-.f64 -13/2 z)))))

Compiler

Compiled 4776 to 4038 computations (15.5% saved)

localize2.8s (5.6%)

Local Accuracy

Found 20 expressions with local accuracy:

New	Accuracy	Program
	99.3%	(/.f64 -883075145810703/5000000000000 (+.f64 z 3))
	98.4%	(sqrt.f64 (*.f64 (PI.f64) 2))
	92.6%	(+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (-.f64 z -2)))))
✓	21.9%	(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 (neg.f64 z) -13/2)))
	99.3%	(/.f64 -883075145810703/5000000000000 (+.f64 z 3))
	98.4%	(sqrt.f64 (*.f64 (PI.f64) 2))
	92.6%	(+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (-.f64 z -2)))))
	21.9%	(/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))
✓	99.6%	(+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (.f64 130311870198853951/120000000000000 z) 18646983574419129/20000000000000)) (+.f64 1627039725249339258982387/525000000000000000000000 (.f64 z -267413577079622897281123/344531250000000000000000)))
✓	99.5%	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (.f64 130311870198853951/120000000000000 z) 18646983574419129/20000000000000)) (+.f64 1627039725249339258982387/525000000000000000000000 (*.f64 z -267413577079622897281123/344531250000000000000000)))))
	98.4%	(sqrt.f64 (*.f64 (PI.f64) 2))
	98.4%	(/.f64 (sqrt.f64 2/13) (exp.f64 13/2))
✓	99.9%	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 30223877537487/2500000000000 z) 1627039725249339258982387/525000000000000000000000)))
	99.8%	(/.f64 30223877537487/2500000000000 z)
	98.4%	(/.f64 (sqrt.f64 2/13) (exp.f64 13/2))
	98.4%	(sqrt.f64 (*.f64 (PI.f64) 2))
✓	100.0%	(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 30223877537487/2500000000000 z) 1627039725249339258982387/525000000000000000000000))
	99.8%	(/.f64 30223877537487/2500000000000 z)
✓	99.6%	(*.f64 (+.f64 z 1) (exp.f64 13/2))
	98.4%	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 961 to 768 computations (20.1% saved)

series18.0ms (0%)

Counts

6 → 72

Calls

18 calls:

Time	Variable		Point	Expression
10.0ms	z	@	0	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 30223877537487/2500000000000 z) 1627039725249339258982387/525000000000000000000000)))
2.0ms	z	@	-inf	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (.f64 130311870198853951/120000000000000 z) 18646983574419129/20000000000000)) (+.f64 1627039725249339258982387/525000000000000000000000 (*.f64 z -267413577079622897281123/344531250000000000000000)))))
1.0ms	z	@	inf	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 30223877537487/2500000000000 z) 1627039725249339258982387/525000000000000000000000)))
1.0ms	z	@	-inf	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 30223877537487/2500000000000 z) 1627039725249339258982387/525000000000000000000000)))
1.0ms	z	@	inf	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (.f64 130311870198853951/120000000000000 z) 18646983574419129/20000000000000)) (+.f64 1627039725249339258982387/525000000000000000000000 (*.f64 z -267413577079622897281123/344531250000000000000000)))))

rewrite120.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1046×	`pow1`
1042×	`add-exp-log`
1042×	`add-log-exp`
1038×	`log1p-expm1-u`
1038×	`expm1-log1p-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	254
1	1097	254

Stop Event

1×	node limit

Counts

6 → 50

Calls

Call 1

Inputs
(*.f64 (+.f64 z 1) (exp.f64 13/2))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 30223877537487/2500000000000 z) 1627039725249339258982387/525000000000000000000000))
(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 30223877537487/2500000000000 z) 1627039725249339258982387/525000000000000000000000)))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (.f64 130311870198853951/120000000000000 z) 18646983574419129/20000000000000)) (+.f64 1627039725249339258982387/525000000000000000000000 (*.f64 z -267413577079622897281123/344531250000000000000000)))))
(+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (.f64 130311870198853951/120000000000000 z) 18646983574419129/20000000000000)) (+.f64 1627039725249339258982387/525000000000000000000000 (.f64 z -267413577079622897281123/344531250000000000000000)))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 (neg.f64 z) -13/2)))

Outputs
(pow.f64 (*.f64 (+.f64 z 1) (exp.f64 13/2)) 1)
(log.f64 (exp.f64 (*.f64 (+.f64 z 1) (exp.f64 13/2))))
(cbrt.f64 (.f64 (.f64 (.f64 (+.f64 z 1) (exp.f64 13/2)) (.f64 (+.f64 z 1) (exp.f64 13/2))) (*.f64 (+.f64 z 1) (exp.f64 13/2))))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 z 1) (exp.f64 13/2))))
(exp.f64 (log.f64 (*.f64 (+.f64 z 1) (exp.f64 13/2))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 z 1) (exp.f64 13/2))))
(*.f64 1 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 30223877537487/2500000000000 z) 1627039725249339258982387/525000000000000000000000)))
(.f64 (.f64 (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 30223877537487/2500000000000 z) 1627039725249339258982387/525000000000000000000000))) (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 30223877537487/2500000000000 z) 1627039725249339258982387/525000000000000000000000)))) (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 30223877537487/2500000000000 z) 1627039725249339258982387/525000000000000000000000))))
(*.f64 (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 30223877537487/2500000000000 z) 1627039725249339258982387/525000000000000000000000))) (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 30223877537487/2500000000000 z) 1627039725249339258982387/525000000000000000000000))))
(/.f64 (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (pow.f64 (+.f64 (/.f64 30223877537487/2500000000000 z) 1627039725249339258982387/525000000000000000000000) 3)) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (-.f64 (.f64 (+.f64 (/.f64 30223877537487/2500000000000 z) 1627039725249339258982387/525000000000000000000000) (+.f64 (/.f64 30223877537487/2500000000000 z) 1627039725249339258982387/525000000000000000000000)) (.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 30223877537487/2500000000000 z) 1627039725249339258982387/525000000000000000000000)))))
(/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 30223877537487/2500000000000 z) 1627039725249339258982387/525000000000000000000000) (+.f64 (/.f64 30223877537487/2500000000000 z) 1627039725249339258982387/525000000000000000000000))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 30223877537487/2500000000000 z) 1627039725249339258982387/525000000000000000000000)))
(pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 30223877537487/2500000000000 z) 1627039725249339258982387/525000000000000000000000)) 1)
(log.f64 (exp.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 30223877537487/2500000000000 z) 1627039725249339258982387/525000000000000000000000))))
(cbrt.f64 (.f64 (.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 30223877537487/2500000000000 z) 1627039725249339258982387/525000000000000000000000)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 30223877537487/2500000000000 z) 1627039725249339258982387/525000000000000000000000))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 30223877537487/2500000000000 z) 1627039725249339258982387/525000000000000000000000))))
(expm1.f64 (log1p.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 30223877537487/2500000000000 z) 1627039725249339258982387/525000000000000000000000))))
(exp.f64 (log.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 30223877537487/2500000000000 z) 1627039725249339258982387/525000000000000000000000))))
(log1p.f64 (expm1.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 30223877537487/2500000000000 z) 1627039725249339258982387/525000000000000000000000))))
(+.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) 9999999999998099/10000000000000000) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 (/.f64 30223877537487/2500000000000 z) 1627039725249339258982387/525000000000000000000000)))
(+.f64 (.f64 9999999999998099/10000000000000000 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) (.f64 (+.f64 (/.f64 30223877537487/2500000000000 z) 1627039725249339258982387/525000000000000000000000) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))))
(pow.f64 (.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 30223877537487/2500000000000 z) 1627039725249339258982387/525000000000000000000000)) (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) 1)
(log.f64 (exp.f64 (.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 30223877537487/2500000000000 z) 1627039725249339258982387/525000000000000000000000)) (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))))
(cbrt.f64 (.f64 (.f64 (.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 30223877537487/2500000000000 z) 1627039725249339258982387/525000000000000000000000)) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) (.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 30223877537487/2500000000000 z) 1627039725249339258982387/525000000000000000000000)) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))) (.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 30223877537487/2500000000000 z) 1627039725249339258982387/525000000000000000000000)) (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))))
(expm1.f64 (log1p.f64 (.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 30223877537487/2500000000000 z) 1627039725249339258982387/525000000000000000000000)) (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))))
(exp.f64 (log.f64 (.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 30223877537487/2500000000000 z) 1627039725249339258982387/525000000000000000000000)) (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))))
(log1p.f64 (expm1.f64 (.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 30223877537487/2500000000000 z) 1627039725249339258982387/525000000000000000000000)) (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))))
(+.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) 9999999999998099/10000000000000000) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 130311870198853951/120000000000000 z -18646983574419129/20000000000000)) (+.f64 1627039725249339258982387/525000000000000000000000 (*.f64 z -267413577079622897281123/344531250000000000000000)))))
(+.f64 (.f64 9999999999998099/10000000000000000 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) (.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 130311870198853951/120000000000000 z -18646983574419129/20000000000000)) (+.f64 1627039725249339258982387/525000000000000000000000 (.f64 z -267413577079622897281123/344531250000000000000000))) (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))))
(pow.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 130311870198853951/120000000000000 z -18646983574419129/20000000000000)) (+.f64 1627039725249339258982387/525000000000000000000000 (.f64 z -267413577079622897281123/344531250000000000000000)))))) 1)
(log.f64 (exp.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 130311870198853951/120000000000000 z -18646983574419129/20000000000000)) (+.f64 1627039725249339258982387/525000000000000000000000 (.f64 z -267413577079622897281123/344531250000000000000000))))))))
(cbrt.f64 (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 130311870198853951/120000000000000 z -18646983574419129/20000000000000)) (+.f64 1627039725249339258982387/525000000000000000000000 (.f64 z -267413577079622897281123/344531250000000000000000)))))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 130311870198853951/120000000000000 z -18646983574419129/20000000000000)) (+.f64 1627039725249339258982387/525000000000000000000000 (.f64 z -267413577079622897281123/344531250000000000000000))))))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 130311870198853951/120000000000000 z -18646983574419129/20000000000000)) (+.f64 1627039725249339258982387/525000000000000000000000 (.f64 z -267413577079622897281123/344531250000000000000000))))))))
(expm1.f64 (log1p.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 130311870198853951/120000000000000 z -18646983574419129/20000000000000)) (+.f64 1627039725249339258982387/525000000000000000000000 (.f64 z -267413577079622897281123/344531250000000000000000))))))))
(exp.f64 (log.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 130311870198853951/120000000000000 z -18646983574419129/20000000000000)) (+.f64 1627039725249339258982387/525000000000000000000000 (.f64 z -267413577079622897281123/344531250000000000000000))))))))
(log1p.f64 (expm1.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 130311870198853951/120000000000000 z -18646983574419129/20000000000000)) (+.f64 1627039725249339258982387/525000000000000000000000 (.f64 z -267413577079622897281123/344531250000000000000000))))))))
(.f64 1 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 130311870198853951/120000000000000 z -18646983574419129/20000000000000)) (+.f64 1627039725249339258982387/525000000000000000000000 (.f64 z -267413577079622897281123/344531250000000000000000))))
(.f64 (.f64 (cbrt.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 130311870198853951/120000000000000 z -18646983574419129/20000000000000)) (+.f64 1627039725249339258982387/525000000000000000000000 (.f64 z -267413577079622897281123/344531250000000000000000)))) (cbrt.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 130311870198853951/120000000000000 z -18646983574419129/20000000000000)) (+.f64 1627039725249339258982387/525000000000000000000000 (.f64 z -267413577079622897281123/344531250000000000000000))))) (cbrt.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 130311870198853951/120000000000000 z -18646983574419129/20000000000000)) (+.f64 1627039725249339258982387/525000000000000000000000 (*.f64 z -267413577079622897281123/344531250000000000000000)))))
(.f64 (sqrt.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 130311870198853951/120000000000000 z -18646983574419129/20000000000000)) (+.f64 1627039725249339258982387/525000000000000000000000 (.f64 z -267413577079622897281123/344531250000000000000000)))) (sqrt.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 130311870198853951/120000000000000 z -18646983574419129/20000000000000)) (+.f64 1627039725249339258982387/525000000000000000000000 (*.f64 z -267413577079622897281123/344531250000000000000000)))))
(/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 130311870198853951/120000000000000 z -18646983574419129/20000000000000)) 3) (pow.f64 (+.f64 1627039725249339258982387/525000000000000000000000 (.f64 z -267413577079622897281123/344531250000000000000000)) 3)) (+.f64 (.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 130311870198853951/120000000000000 z -18646983574419129/20000000000000)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 130311870198853951/120000000000000 z -18646983574419129/20000000000000))) (-.f64 (.f64 (+.f64 1627039725249339258982387/525000000000000000000000 (.f64 z -267413577079622897281123/344531250000000000000000)) (+.f64 1627039725249339258982387/525000000000000000000000 (.f64 z -267413577079622897281123/344531250000000000000000))) (.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 130311870198853951/120000000000000 z -18646983574419129/20000000000000)) (+.f64 1627039725249339258982387/525000000000000000000000 (*.f64 z -267413577079622897281123/344531250000000000000000))))))
(/.f64 (-.f64 (.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 130311870198853951/120000000000000 z -18646983574419129/20000000000000)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 130311870198853951/120000000000000 z -18646983574419129/20000000000000))) (.f64 (+.f64 1627039725249339258982387/525000000000000000000000 (.f64 z -267413577079622897281123/344531250000000000000000)) (+.f64 1627039725249339258982387/525000000000000000000000 (.f64 z -267413577079622897281123/344531250000000000000000)))) (-.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 130311870198853951/120000000000000 z -18646983574419129/20000000000000)) (+.f64 1627039725249339258982387/525000000000000000000000 (*.f64 z -267413577079622897281123/344531250000000000000000))))
(pow.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 130311870198853951/120000000000000 z -18646983574419129/20000000000000)) (+.f64 1627039725249339258982387/525000000000000000000000 (*.f64 z -267413577079622897281123/344531250000000000000000))) 1)
(log.f64 (exp.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 130311870198853951/120000000000000 z -18646983574419129/20000000000000)) (+.f64 1627039725249339258982387/525000000000000000000000 (*.f64 z -267413577079622897281123/344531250000000000000000)))))
(cbrt.f64 (.f64 (.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 130311870198853951/120000000000000 z -18646983574419129/20000000000000)) (+.f64 1627039725249339258982387/525000000000000000000000 (.f64 z -267413577079622897281123/344531250000000000000000))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 130311870198853951/120000000000000 z -18646983574419129/20000000000000)) (+.f64 1627039725249339258982387/525000000000000000000000 (.f64 z -267413577079622897281123/344531250000000000000000)))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 130311870198853951/120000000000000 z -18646983574419129/20000000000000)) (+.f64 1627039725249339258982387/525000000000000000000000 (*.f64 z -267413577079622897281123/344531250000000000000000)))))
(expm1.f64 (log1p.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 130311870198853951/120000000000000 z -18646983574419129/20000000000000)) (+.f64 1627039725249339258982387/525000000000000000000000 (*.f64 z -267413577079622897281123/344531250000000000000000)))))
(exp.f64 (log.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 130311870198853951/120000000000000 z -18646983574419129/20000000000000)) (+.f64 1627039725249339258982387/525000000000000000000000 (*.f64 z -267413577079622897281123/344531250000000000000000)))))
(log1p.f64 (expm1.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 130311870198853951/120000000000000 z -18646983574419129/20000000000000)) (+.f64 1627039725249339258982387/525000000000000000000000 (*.f64 z -267413577079622897281123/344531250000000000000000)))))
(pow.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 (neg.f64 z) -13/2))) 1)
(log.f64 (exp.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 (neg.f64 z) -13/2)))))
(cbrt.f64 (.f64 (.f64 (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 (neg.f64 z) -13/2))) (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 (neg.f64 z) -13/2)))) (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 (neg.f64 z) -13/2)))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 (neg.f64 z) -13/2)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 (neg.f64 z) -13/2)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 (neg.f64 z) -13/2)))))

simplify145.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1206×	`associate-+l+`
1164×	`associate-+r+`
502×	`associate-l`
454×	`associate-r`
394×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	264	6056
1	781	5544
2	3591	5328

Stop Event

1×	node limit

Counts

122 → 133

Calls

Call 1

Inputs
(exp.f64 13/2)
(+.f64 (exp.f64 13/2) (*.f64 (exp.f64 13/2) z))
(+.f64 (exp.f64 13/2) (*.f64 (exp.f64 13/2) z))
(+.f64 (exp.f64 13/2) (*.f64 (exp.f64 13/2) z))
(*.f64 (exp.f64 13/2) z)
(+.f64 (exp.f64 13/2) (*.f64 (exp.f64 13/2) z))
(+.f64 (exp.f64 13/2) (*.f64 (exp.f64 13/2) z))
(+.f64 (exp.f64 13/2) (*.f64 (exp.f64 13/2) z))
(*.f64 (exp.f64 13/2) z)
(+.f64 (exp.f64 13/2) (*.f64 (exp.f64 13/2) z))
(+.f64 (exp.f64 13/2) (*.f64 (exp.f64 13/2) z))
(+.f64 (exp.f64 13/2) (*.f64 (exp.f64 13/2) z))
(/.f64 30223877537487/2500000000000 z)
(+.f64 2152039725249239456482387/525000000000000000000000 (*.f64 30223877537487/2500000000000 (/.f64 1 z)))
(+.f64 2152039725249239456482387/525000000000000000000000 (*.f64 30223877537487/2500000000000 (/.f64 1 z)))
(+.f64 2152039725249239456482387/525000000000000000000000 (*.f64 30223877537487/2500000000000 (/.f64 1 z)))
2152039725249239456482387/525000000000000000000000
(+.f64 2152039725249239456482387/525000000000000000000000 (*.f64 30223877537487/2500000000000 (/.f64 1 z)))
(+.f64 2152039725249239456482387/525000000000000000000000 (*.f64 30223877537487/2500000000000 (/.f64 1 z)))
(+.f64 2152039725249239456482387/525000000000000000000000 (*.f64 30223877537487/2500000000000 (/.f64 1 z)))
2152039725249239456482387/525000000000000000000000
(+.f64 2152039725249239456482387/525000000000000000000000 (*.f64 30223877537487/2500000000000 (/.f64 1 z)))
(+.f64 2152039725249239456482387/525000000000000000000000 (*.f64 30223877537487/2500000000000 (/.f64 1 z)))
(+.f64 2152039725249239456482387/525000000000000000000000 (*.f64 30223877537487/2500000000000 (/.f64 1 z)))
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(+.f64 (.f64 9999999999998099/10000000000000000 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) (.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 130311870198853951/120000000000000 z -18646983574419129/20000000000000)) (+.f64 1627039725249339258982387/525000000000000000000000 (.f64 z -267413577079622897281123/344531250000000000000000))) (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))))
(pow.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 130311870198853951/120000000000000 z -18646983574419129/20000000000000)) (+.f64 1627039725249339258982387/525000000000000000000000 (.f64 z -267413577079622897281123/344531250000000000000000)))))) 1)
(log.f64 (exp.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 130311870198853951/120000000000000 z -18646983574419129/20000000000000)) (+.f64 1627039725249339258982387/525000000000000000000000 (.f64 z -267413577079622897281123/344531250000000000000000))))))))
(cbrt.f64 (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 130311870198853951/120000000000000 z -18646983574419129/20000000000000)) (+.f64 1627039725249339258982387/525000000000000000000000 (.f64 z -267413577079622897281123/344531250000000000000000)))))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 130311870198853951/120000000000000 z -18646983574419129/20000000000000)) (+.f64 1627039725249339258982387/525000000000000000000000 (.f64 z -267413577079622897281123/344531250000000000000000))))))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 130311870198853951/120000000000000 z -18646983574419129/20000000000000)) (+.f64 1627039725249339258982387/525000000000000000000000 (.f64 z -267413577079622897281123/344531250000000000000000))))))))
(expm1.f64 (log1p.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 130311870198853951/120000000000000 z -18646983574419129/20000000000000)) (+.f64 1627039725249339258982387/525000000000000000000000 (.f64 z -267413577079622897281123/344531250000000000000000))))))))
(exp.f64 (log.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 130311870198853951/120000000000000 z -18646983574419129/20000000000000)) (+.f64 1627039725249339258982387/525000000000000000000000 (.f64 z -267413577079622897281123/344531250000000000000000))))))))
(log1p.f64 (expm1.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 130311870198853951/120000000000000 z -18646983574419129/20000000000000)) (+.f64 1627039725249339258982387/525000000000000000000000 (.f64 z -267413577079622897281123/344531250000000000000000))))))))
(.f64 1 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 130311870198853951/120000000000000 z -18646983574419129/20000000000000)) (+.f64 1627039725249339258982387/525000000000000000000000 (.f64 z -267413577079622897281123/344531250000000000000000))))
(.f64 (.f64 (cbrt.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 130311870198853951/120000000000000 z -18646983574419129/20000000000000)) (+.f64 1627039725249339258982387/525000000000000000000000 (.f64 z -267413577079622897281123/344531250000000000000000)))) (cbrt.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 130311870198853951/120000000000000 z -18646983574419129/20000000000000)) (+.f64 1627039725249339258982387/525000000000000000000000 (.f64 z -267413577079622897281123/344531250000000000000000))))) (cbrt.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 130311870198853951/120000000000000 z -18646983574419129/20000000000000)) (+.f64 1627039725249339258982387/525000000000000000000000 (*.f64 z -267413577079622897281123/344531250000000000000000)))))
(.f64 (sqrt.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 130311870198853951/120000000000000 z -18646983574419129/20000000000000)) (+.f64 1627039725249339258982387/525000000000000000000000 (.f64 z -267413577079622897281123/344531250000000000000000)))) (sqrt.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 130311870198853951/120000000000000 z -18646983574419129/20000000000000)) (+.f64 1627039725249339258982387/525000000000000000000000 (*.f64 z -267413577079622897281123/344531250000000000000000)))))
(/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 130311870198853951/120000000000000 z -18646983574419129/20000000000000)) 3) (pow.f64 (+.f64 1627039725249339258982387/525000000000000000000000 (.f64 z -267413577079622897281123/344531250000000000000000)) 3)) (+.f64 (.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 130311870198853951/120000000000000 z -18646983574419129/20000000000000)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 130311870198853951/120000000000000 z -18646983574419129/20000000000000))) (-.f64 (.f64 (+.f64 1627039725249339258982387/525000000000000000000000 (.f64 z -267413577079622897281123/344531250000000000000000)) (+.f64 1627039725249339258982387/525000000000000000000000 (.f64 z -267413577079622897281123/344531250000000000000000))) (.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 130311870198853951/120000000000000 z -18646983574419129/20000000000000)) (+.f64 1627039725249339258982387/525000000000000000000000 (*.f64 z -267413577079622897281123/344531250000000000000000))))))
(/.f64 (-.f64 (.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 130311870198853951/120000000000000 z -18646983574419129/20000000000000)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 130311870198853951/120000000000000 z -18646983574419129/20000000000000))) (.f64 (+.f64 1627039725249339258982387/525000000000000000000000 (.f64 z -267413577079622897281123/344531250000000000000000)) (+.f64 1627039725249339258982387/525000000000000000000000 (.f64 z -267413577079622897281123/344531250000000000000000)))) (-.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 130311870198853951/120000000000000 z -18646983574419129/20000000000000)) (+.f64 1627039725249339258982387/525000000000000000000000 (*.f64 z -267413577079622897281123/344531250000000000000000))))
(pow.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 130311870198853951/120000000000000 z -18646983574419129/20000000000000)) (+.f64 1627039725249339258982387/525000000000000000000000 (*.f64 z -267413577079622897281123/344531250000000000000000))) 1)
(log.f64 (exp.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 130311870198853951/120000000000000 z -18646983574419129/20000000000000)) (+.f64 1627039725249339258982387/525000000000000000000000 (*.f64 z -267413577079622897281123/344531250000000000000000)))))
(cbrt.f64 (.f64 (.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 130311870198853951/120000000000000 z -18646983574419129/20000000000000)) (+.f64 1627039725249339258982387/525000000000000000000000 (.f64 z -267413577079622897281123/344531250000000000000000))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 130311870198853951/120000000000000 z -18646983574419129/20000000000000)) (+.f64 1627039725249339258982387/525000000000000000000000 (.f64 z -267413577079622897281123/344531250000000000000000)))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 130311870198853951/120000000000000 z -18646983574419129/20000000000000)) (+.f64 1627039725249339258982387/525000000000000000000000 (*.f64 z -267413577079622897281123/344531250000000000000000)))))
(expm1.f64 (log1p.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 130311870198853951/120000000000000 z -18646983574419129/20000000000000)) (+.f64 1627039725249339258982387/525000000000000000000000 (*.f64 z -267413577079622897281123/344531250000000000000000)))))
(exp.f64 (log.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 130311870198853951/120000000000000 z -18646983574419129/20000000000000)) (+.f64 1627039725249339258982387/525000000000000000000000 (*.f64 z -267413577079622897281123/344531250000000000000000)))))
(log1p.f64 (expm1.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 130311870198853951/120000000000000 z -18646983574419129/20000000000000)) (+.f64 1627039725249339258982387/525000000000000000000000 (*.f64 z -267413577079622897281123/344531250000000000000000)))))
(pow.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 (neg.f64 z) -13/2))) 1)
(log.f64 (exp.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 (neg.f64 z) -13/2)))))
(cbrt.f64 (.f64 (.f64 (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 (neg.f64 z) -13/2))) (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 (neg.f64 z) -13/2)))) (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 (neg.f64 z) -13/2)))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 (neg.f64 z) -13/2)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 (neg.f64 z) -13/2)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 (neg.f64 z) -13/2)))))

Outputs
(exp.f64 13/2)
(+.f64 (exp.f64 13/2) (*.f64 (exp.f64 13/2) z))
(exp.f64 (+.f64 13/2 (log1p.f64 z)))
(+.f64 (exp.f64 13/2) (*.f64 (exp.f64 13/2) z))
(exp.f64 (+.f64 13/2 (log1p.f64 z)))
(+.f64 (exp.f64 13/2) (*.f64 (exp.f64 13/2) z))
(exp.f64 (+.f64 13/2 (log1p.f64 z)))
(*.f64 (exp.f64 13/2) z)
(+.f64 (exp.f64 13/2) (*.f64 (exp.f64 13/2) z))
(exp.f64 (+.f64 13/2 (log1p.f64 z)))
(+.f64 (exp.f64 13/2) (*.f64 (exp.f64 13/2) z))
(exp.f64 (+.f64 13/2 (log1p.f64 z)))
(+.f64 (exp.f64 13/2) (*.f64 (exp.f64 13/2) z))
(exp.f64 (+.f64 13/2 (log1p.f64 z)))
(*.f64 (exp.f64 13/2) z)
(+.f64 (exp.f64 13/2) (*.f64 (exp.f64 13/2) z))
(exp.f64 (+.f64 13/2 (log1p.f64 z)))
(+.f64 (exp.f64 13/2) (*.f64 (exp.f64 13/2) z))
(exp.f64 (+.f64 13/2 (log1p.f64 z)))
(+.f64 (exp.f64 13/2) (*.f64 (exp.f64 13/2) z))
(exp.f64 (+.f64 13/2 (log1p.f64 z)))
(/.f64 30223877537487/2500000000000 z)
(+.f64 2152039725249239456482387/525000000000000000000000 (*.f64 30223877537487/2500000000000 (/.f64 1 z)))
(+.f64 (/.f64 30223877537487/2500000000000 z) 2152039725249239456482387/525000000000000000000000)
(+.f64 2152039725249239456482387/525000000000000000000000 (*.f64 30223877537487/2500000000000 (/.f64 1 z)))
(+.f64 (/.f64 30223877537487/2500000000000 z) 2152039725249239456482387/525000000000000000000000)
(+.f64 2152039725249239456482387/525000000000000000000000 (*.f64 30223877537487/2500000000000 (/.f64 1 z)))
(+.f64 (/.f64 30223877537487/2500000000000 z) 2152039725249239456482387/525000000000000000000000)
2152039725249239456482387/525000000000000000000000
(+.f64 2152039725249239456482387/525000000000000000000000 (*.f64 30223877537487/2500000000000 (/.f64 1 z)))
(+.f64 (/.f64 30223877537487/2500000000000 z) 2152039725249239456482387/525000000000000000000000)
(+.f64 2152039725249239456482387/525000000000000000000000 (*.f64 30223877537487/2500000000000 (/.f64 1 z)))
(+.f64 (/.f64 30223877537487/2500000000000 z) 2152039725249239456482387/525000000000000000000000)
(+.f64 2152039725249239456482387/525000000000000000000000 (*.f64 30223877537487/2500000000000 (/.f64 1 z)))
(+.f64 (/.f64 30223877537487/2500000000000 z) 2152039725249239456482387/525000000000000000000000)
2152039725249239456482387/525000000000000000000000
(+.f64 2152039725249239456482387/525000000000000000000000 (*.f64 30223877537487/2500000000000 (/.f64 1 z)))
(+.f64 (/.f64 30223877537487/2500000000000 z) 2152039725249239456482387/525000000000000000000000)
(+.f64 2152039725249239456482387/525000000000000000000000 (*.f64 30223877537487/2500000000000 (/.f64 1 z)))
(+.f64 (/.f64 30223877537487/2500000000000 z) 2152039725249239456482387/525000000000000000000000)
(+.f64 2152039725249239456482387/525000000000000000000000 (*.f64 30223877537487/2500000000000 (/.f64 1 z)))
(+.f64 (/.f64 30223877537487/2500000000000 z) 2152039725249239456482387/525000000000000000000000)
(.f64 30223877537487/2500000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (.f64 (exp.f64 13/2) z)) (sqrt.f64 (PI.f64))))
(.f64 30223877537487/2500000000000 (.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (sqrt.f64 2/13)) z) (sqrt.f64 (PI.f64))))
(.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 30223877537487/2500000000000 (sqrt.f64 2)) (/.f64 (exp.f64 13/2) (/.f64 (sqrt.f64 2/13) z))))
(+.f64 (.f64 30223877537487/2500000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (.f64 (exp.f64 13/2) z)) (sqrt.f64 (PI.f64)))) (.f64 2152039725249239456482387/525000000000000000000000 (.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2)) (sqrt.f64 (PI.f64)))))
(fma.f64 30223877537487/2500000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (.f64 (exp.f64 13/2) z)) (sqrt.f64 (PI.f64))) (.f64 2152039725249239456482387/525000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2)))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 30223877537487/2500000000000 (/.f64 (.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (sqrt.f64 2/13)) z)) (.f64 2152039725249239456482387/525000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (sqrt.f64 2/13)))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 (.f64 30223877537487/2500000000000 (sqrt.f64 2)) (/.f64 (exp.f64 13/2) (/.f64 (sqrt.f64 2/13) z))) (.f64 2152039725249239456482387/525000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (sqrt.f64 2/13)))))
(+.f64 (.f64 30223877537487/2500000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (.f64 (exp.f64 13/2) z)) (sqrt.f64 (PI.f64)))) (.f64 2152039725249239456482387/525000000000000000000000 (.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2)) (sqrt.f64 (PI.f64)))))
(fma.f64 30223877537487/2500000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (.f64 (exp.f64 13/2) z)) (sqrt.f64 (PI.f64))) (.f64 2152039725249239456482387/525000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2)))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 30223877537487/2500000000000 (/.f64 (.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (sqrt.f64 2/13)) z)) (.f64 2152039725249239456482387/525000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (sqrt.f64 2/13)))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 (.f64 30223877537487/2500000000000 (sqrt.f64 2)) (/.f64 (exp.f64 13/2) (/.f64 (sqrt.f64 2/13) z))) (.f64 2152039725249239456482387/525000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (sqrt.f64 2/13)))))
(+.f64 (.f64 30223877537487/2500000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (.f64 (exp.f64 13/2) z)) (sqrt.f64 (PI.f64)))) (.f64 2152039725249239456482387/525000000000000000000000 (.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2)) (sqrt.f64 (PI.f64)))))
(fma.f64 30223877537487/2500000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (.f64 (exp.f64 13/2) z)) (sqrt.f64 (PI.f64))) (.f64 2152039725249239456482387/525000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2)))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 30223877537487/2500000000000 (/.f64 (.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (sqrt.f64 2/13)) z)) (.f64 2152039725249239456482387/525000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (sqrt.f64 2/13)))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 (.f64 30223877537487/2500000000000 (sqrt.f64 2)) (/.f64 (exp.f64 13/2) (/.f64 (sqrt.f64 2/13) z))) (.f64 2152039725249239456482387/525000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (sqrt.f64 2/13)))))
(.f64 2152039725249239456482387/525000000000000000000000 (.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2)) (sqrt.f64 (PI.f64))))
(.f64 2152039725249239456482387/525000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2))))
(.f64 2152039725249239456482387/525000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (sqrt.f64 2/13))))
(+.f64 (.f64 30223877537487/2500000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (.f64 (exp.f64 13/2) z)) (sqrt.f64 (PI.f64)))) (.f64 2152039725249239456482387/525000000000000000000000 (.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2)) (sqrt.f64 (PI.f64)))))
(fma.f64 30223877537487/2500000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (.f64 (exp.f64 13/2) z)) (sqrt.f64 (PI.f64))) (.f64 2152039725249239456482387/525000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2)))))
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(exp.f64 (log.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 130311870198853951/120000000000000 z -18646983574419129/20000000000000)) (+.f64 1627039725249339258982387/525000000000000000000000 (*.f64 z -267413577079622897281123/344531250000000000000000)))))
(+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 130311870198853951/120000000000000 z -18646983574419129/20000000000000)) (+.f64 1627039725249339258982387/525000000000000000000000 (*.f64 z -267413577079622897281123/344531250000000000000000)))
(+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 130311870198853951/120000000000000 z -18646983574419129/20000000000000)) (fma.f64 z -267413577079622897281123/344531250000000000000000 1627039725249339258982387/525000000000000000000000))
(log1p.f64 (expm1.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 130311870198853951/120000000000000 z -18646983574419129/20000000000000)) (+.f64 1627039725249339258982387/525000000000000000000000 (*.f64 z -267413577079622897281123/344531250000000000000000)))))
(+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 130311870198853951/120000000000000 z -18646983574419129/20000000000000)) (+.f64 1627039725249339258982387/525000000000000000000000 (*.f64 z -267413577079622897281123/344531250000000000000000)))
(+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 130311870198853951/120000000000000 z -18646983574419129/20000000000000)) (fma.f64 z -267413577079622897281123/344531250000000000000000 1627039725249339258982387/525000000000000000000000))
(pow.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 (neg.f64 z) -13/2))) 1)
(*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (fma.f64 -1 z -13/2)))
(*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))
(exp.f64 (fma.f64 (log.f64 (+.f64 13/2 z)) (+.f64 z -1/2) (-.f64 -13/2 z)))
(log.f64 (exp.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 (neg.f64 z) -13/2)))))
(*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (fma.f64 -1 z -13/2)))
(*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))
(exp.f64 (fma.f64 (log.f64 (+.f64 13/2 z)) (+.f64 z -1/2) (-.f64 -13/2 z)))
(cbrt.f64 (.f64 (.f64 (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 (neg.f64 z) -13/2))) (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 (neg.f64 z) -13/2)))) (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 (neg.f64 z) -13/2)))))
(*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (fma.f64 -1 z -13/2)))
(*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))
(exp.f64 (fma.f64 (log.f64 (+.f64 13/2 z)) (+.f64 z -1/2) (-.f64 -13/2 z)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 (neg.f64 z) -13/2)))))
(*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (fma.f64 -1 z -13/2)))
(*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))
(exp.f64 (fma.f64 (log.f64 (+.f64 13/2 z)) (+.f64 z -1/2) (-.f64 -13/2 z)))
(exp.f64 (log.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 (neg.f64 z) -13/2)))))
(*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (fma.f64 -1 z -13/2)))
(*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))
(exp.f64 (fma.f64 (log.f64 (+.f64 13/2 z)) (+.f64 z -1/2) (-.f64 -13/2 z)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 (neg.f64 z) -13/2)))))
(*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (fma.f64 -1 z -13/2)))
(*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))
(exp.f64 (fma.f64 (log.f64 (+.f64 13/2 z)) (+.f64 z -1/2) (-.f64 -13/2 z)))

eval1.1s (2.3%)

Compiler: Compiled 43559 to 35858 computations (17.7% saved)

prune308.0ms (0.6%)

Pruning

28 alts after pruning (22 fresh and 6 done)

	Pruned	Kept	Total
New	910	12	922
Fresh	3	10	13
Picked	4	1	5
Done	1	5	6
Total	918	28	946

Accurracy

100.0%

Counts

946 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	1.9%	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (.f64 (.f64 (cbrt.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (cbrt.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)))) (cbrt.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
	1.9%	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (*.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 z -2)))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
	98.3%	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 z 1) (exp.f64 13/2)))) (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 30223877537487/2500000000000 z) 1627039725249339258982387/525000000000000000000000) (+.f64 (/.f64 30223877537487/2500000000000 z) 1627039725249339258982387/525000000000000000000000))) (-.f64 -1102039725249439061482387/525000000000000000000000 (/.f64 30223877537487/2500000000000 z))))
	98.3%	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 z 1) (exp.f64 13/2)))) (/.f64 30223877537487/2500000000000 z))
	98.3%	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 z 1) (exp.f64 13/2)))) (+.f64 (/.f64 30223877537487/2500000000000 z) 2152039725249239456482387/525000000000000000000000))
	98.3%	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 z 1) (exp.f64 13/2)))) 2152039725249239456482387/525000000000000000000000)
	1.9%	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))
	1.9%	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 (/.f64 (-.f64 (.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z)) (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z))) (pow.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) 4)) (+.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (pow.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) 2))) (-.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))
✓	1.9%	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 (-.f64 (.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 6765203681218851/10000000000000 z)) (*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))))) (-.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))
	0.4%	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 30223877537487/2500000000000 z) (/.f64 309219557958850910362579/25000000000000000000000 z))))
✓	0.3%	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 30223877537487/2500000000000 z) 1627039725249339258982387/525000000000000000000000)))
✓	1.9%	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))
	1.9%	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))
	0.3%	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 30223877537487/2500000000000 z) (/.f64 153960904158449/625000000000 (.f64 z z))) (+.f64 1627039725249339258982387/525000000000000000000000 (*.f64 z -267413577079622897281123/344531250000000000000000)))))
	0.5%	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (-.f64 z -2))))) (/.f64 309219557958850910362579/25000000000000000000000 z))))
	0.6%	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (-.f64 z -2))))) (-.f64 (/.f64 309219557958850910362579/25000000000000000000000 z) (/.f64 1233414464964485053048753/25000000000000000000000 (.f64 z z))))))
✓	0.3%	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (-.f64 z -2))))) (+.f64 1627039725249339258982387/525000000000000000000000 (.f64 z -267413577079622897281123/344531250000000000000000)))))
	0.4%	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (-.f64 z -2))))) 1627039725249339258982387/525000000000000000000000)))
	2.4%	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (/.f64 30223877537487/2500000000000 z))
	3.3%	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))
	5.6%	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 9999999999998099/10000000000000000 (-.f64 (.f64 373870182501661212981625127/344531250000000000000000 z) 487856279103252796991017613/525000000000000000000000)))
	5.6%	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 9999999999998099/10000000000000000 (.f64 z 373870182501661212981625127/344531250000000000000000)))
	3.2%	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) 2152039725249239456482387/525000000000000000000000)
	0.3%	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 (neg.f64 z) -13/2)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (-.f64 z -2))))) (+.f64 1627039725249339258982387/525000000000000000000000 (*.f64 z -267413577079622897281123/344531250000000000000000)))))
	1.9%	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (-.f64 z -2))))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))
	1.9%	(.f64 (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (+.f64 13/2 z)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
✓	1.9%	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 (.f64 6765203681218851/10000000000000 (+.f64 z 1)) (.f64 z -3147848041806007/2500000000000)) (.f64 z (+.f64 z 1)))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))) (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))))
✓	99.9%	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 (.f64 6765203681218851/10000000000000 (+.f64 z 1)) (.f64 z -3147848041806007/2500000000000)) (.f64 z (+.f64 z 1)))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))) (exp.f64 (+.f64 (neg.f64 (*.f64 (log.f64 (-.f64 13/2 (neg.f64 z))) (fma.f64 -1 z 1/2))) (-.f64 -13/2 z)))))

Compiler

Compiled 4156 to 3454 computations (16.9% saved)

regimes178.0ms (0.4%)

Counts

53 → 1

Calls

Call 1

Inputs
(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) 2152039725249239456482387/525000000000000000000000)
(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (/.f64 30223877537487/2500000000000 z))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 9999999999998099/10000000000000000 (.f64 z 373870182501661212981625127/344531250000000000000000)))
(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))
(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 30223877537487/2500000000000 z) 1627039725249339258982387/525000000000000000000000)))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 9999999999998099/10000000000000000 (-.f64 (.f64 373870182501661212981625127/344531250000000000000000 z) 487856279103252796991017613/525000000000000000000000)))
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(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 13/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 30223877537487/2500000000000 z) 1627039725249339258982387/525000000000000000000000)))
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(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))
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(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 z 13/2) (-.f64 z 1/2)) (exp.f64 (neg.f64 (+.f64 z 13/2))))) (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 (.f64 6765203681218851/10000000000000 (+.f64 z 1)) (.f64 z -3147848041806007/2500000000000)) (.f64 z (+.f64 z 1)))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))) (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))))
(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 z -1) 15/2) (-.f64 z 1/2))) (exp.f64 (+.f64 (neg.f64 (-.f64 z -6)) -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 z 0)) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 z -2)) (/.f64 -883075145810703/5000000000000 (-.f64 z -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 z -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 z -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 z -7)))))
(.f64 (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (+.f64 13/2 z)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (*.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 z -2)))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 (-.f64 (.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 6765203681218851/10000000000000 z)) (*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))))) (-.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) (+.f64 1627039725249339258982387/525000000000000000000000 (fma.f64 -267413577079622897281123/344531250000000000000000 z (.f64 (*.f64 z z) 89979281735637421015992791/463050000000000000000000000))))))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) (+.f64 (fma.f64 z -267413577079622897281123/344531250000000000000000 1627039725249339258982387/525000000000000000000000) (.f64 z (*.f64 z 89979281735637421015992791/463050000000000000000000000))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))) (exp.f64 (fma.f64 (neg.f64 (log.f64 (+.f64 13/2 z))) (-.f64 1/2 z) (-.f64 -13/2 z)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))) (exp.f64 (fma.f64 (neg.f64 (log.f64 (+.f64 13/2 z))) (-.f64 1/2 z) (-.f64 -13/2 z)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 (.f64 6765203681218851/10000000000000 (+.f64 z 1)) (.f64 z -3147848041806007/2500000000000)) (.f64 z (+.f64 z 1)))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))) (exp.f64 (+.f64 (neg.f64 (*.f64 (log.f64 (-.f64 13/2 (neg.f64 z))) (fma.f64 -1 z 1/2))) (-.f64 -13/2 z)))))
(.f64 (exp.f64 (log.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 (/.f64 (-.f64 (.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z)) (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z))) (pow.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) 4)) (+.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (pow.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) 2))) (-.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))
(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (.f64 (.f64 (cbrt.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (cbrt.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)))) (cbrt.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))

Outputs

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

Calls

3 calls:

34.0ms

(-.f64 z 1)

32.0ms

12.0ms

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

Results

Accuracy	Segments	Branch
99.9%	1	`z`
99.9%	1	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
99.9%	1	`(-.f64 z 1)`

Compiler

Compiled 2802 to 2314 computations (17.4% saved)

regimes192.0ms (0.4%)

Counts

48 → 2

Calls

Call 1

Inputs
(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) 2152039725249239456482387/525000000000000000000000)
(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (/.f64 30223877537487/2500000000000 z))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 9999999999998099/10000000000000000 (.f64 z 373870182501661212981625127/344531250000000000000000)))
(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))
(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 30223877537487/2500000000000 z) 1627039725249339258982387/525000000000000000000000)))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 9999999999998099/10000000000000000 (-.f64 (.f64 373870182501661212981625127/344531250000000000000000 z) 487856279103252796991017613/525000000000000000000000)))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 z 1) (exp.f64 13/2)))) 2152039725249239456482387/525000000000000000000000)
(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 13/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 30223877537487/2500000000000 z) 1627039725249339258982387/525000000000000000000000)))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 z 1) (exp.f64 13/2)))) (/.f64 30223877537487/2500000000000 z))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (.f64 130311870198853951/120000000000000 z) 18646983574419129/20000000000000)) 1627039725249339258982387/525000000000000000000000)))
(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 30223877537487/2500000000000 z) 1627039725249339258982387/525000000000000000000000)))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 z 1) (exp.f64 13/2)))) (+.f64 (/.f64 30223877537487/2500000000000 z) 2152039725249239456482387/525000000000000000000000))
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(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 (-.f64 (.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 6765203681218851/10000000000000 z)) (*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))))) (-.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) (+.f64 1627039725249339258982387/525000000000000000000000 (fma.f64 -267413577079622897281123/344531250000000000000000 z (.f64 (*.f64 z z) 89979281735637421015992791/463050000000000000000000000))))))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) (+.f64 (fma.f64 z -267413577079622897281123/344531250000000000000000 1627039725249339258982387/525000000000000000000000) (.f64 z (*.f64 z 89979281735637421015992791/463050000000000000000000000))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))) (exp.f64 (fma.f64 (neg.f64 (log.f64 (+.f64 13/2 z))) (-.f64 1/2 z) (-.f64 -13/2 z)))))

Outputs

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

(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 z 1) (exp.f64 13/2)))) 2152039725249239456482387/525000000000000000000000)

Calls

3 calls:

51.0ms

(-.f64 z 1)

50.0ms

12.0ms

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

Results

Accuracy	Segments	Branch
100.0%	2	`z`
100.0%	2	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
100.0%	2	`(-.f64 z 1)`

Compiler

Compiled 2346 to 1938 computations (17.4% saved)

regimes117.0ms (0.2%)

Counts

42 → 2

Calls

Call 1

Inputs
(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) 2152039725249239456482387/525000000000000000000000)
(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (/.f64 30223877537487/2500000000000 z))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 9999999999998099/10000000000000000 (.f64 z 373870182501661212981625127/344531250000000000000000)))
(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))
(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 30223877537487/2500000000000 z) 1627039725249339258982387/525000000000000000000000)))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 9999999999998099/10000000000000000 (-.f64 (.f64 373870182501661212981625127/344531250000000000000000 z) 487856279103252796991017613/525000000000000000000000)))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 z 1) (exp.f64 13/2)))) 2152039725249239456482387/525000000000000000000000)
(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 13/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 30223877537487/2500000000000 z) 1627039725249339258982387/525000000000000000000000)))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 z 1) (exp.f64 13/2)))) (/.f64 30223877537487/2500000000000 z))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (.f64 130311870198853951/120000000000000 z) 18646983574419129/20000000000000)) 1627039725249339258982387/525000000000000000000000)))
(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 30223877537487/2500000000000 z) 1627039725249339258982387/525000000000000000000000)))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 z 1) (exp.f64 13/2)))) (+.f64 (/.f64 30223877537487/2500000000000 z) 2152039725249239456482387/525000000000000000000000))
(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 30223877537487/2500000000000 z) (/.f64 309219557958850910362579/25000000000000000000000 z))))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 z 1) (exp.f64 13/2)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 30223877537487/2500000000000 z) 1627039725249339258982387/525000000000000000000000)))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (.f64 130311870198853951/120000000000000 z) 18646983574419129/20000000000000)) (+.f64 1627039725249339258982387/525000000000000000000000 (*.f64 z -267413577079622897281123/344531250000000000000000)))))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (.f64 130311870198853951/120000000000000 z) 18646983574419129/20000000000000)) (-.f64 (/.f64 309219557958850910362579/25000000000000000000000 z) (/.f64 1233414464964485053048753/25000000000000000000000 (*.f64 z z))))))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 30223877537487/2500000000000 z) (/.f64 153960904158449/625000000000 (.f64 z z))) (+.f64 1627039725249339258982387/525000000000000000000000 (*.f64 z -267413577079622897281123/344531250000000000000000)))))
(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) 1627039725249339258982387/525000000000000000000000)))
(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) (/.f64 309219557958850910362579/25000000000000000000000 z))))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 z 1) (exp.f64 13/2)))) (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 30223877537487/2500000000000 z) 1627039725249339258982387/525000000000000000000000) (+.f64 (/.f64 30223877537487/2500000000000 z) 1627039725249339258982387/525000000000000000000000))) (-.f64 -1102039725249439061482387/525000000000000000000000 (/.f64 30223877537487/2500000000000 z))))
(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (-.f64 z -2))))) 1627039725249339258982387/525000000000000000000000)))
(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (-.f64 z -2))))) (/.f64 309219557958850910362579/25000000000000000000000 z))))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (.f64 130311870198853951/120000000000000 z) 18646983574419129/20000000000000)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (-.f64 z -2))))) (+.f64 1627039725249339258982387/525000000000000000000000 (.f64 z -267413577079622897281123/344531250000000000000000)))))
(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 30223877537487/2500000000000 z) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 (neg.f64 z) -13/2)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (-.f64 z -2))))) (+.f64 1627039725249339258982387/525000000000000000000000 (*.f64 z -267413577079622897281123/344531250000000000000000)))))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (-.f64 z -2))))) (-.f64 (/.f64 309219557958850910362579/25000000000000000000000 z) (/.f64 1233414464964485053048753/25000000000000000000000 (.f64 z z))))))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 153960904158449/625000000000 (.f64 z z)) (/.f64 30223877537487/2500000000000 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))
(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 z) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 z 13/2) (-.f64 z 1/2)) (exp.f64 (neg.f64 (+.f64 z 13/2))))) (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (/.f64 -4878157879447497/10000000000000 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))
(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))) (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (-.f64 z -2))))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))
(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (-.f64 z -2))))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))
(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))
(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))
(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 (neg.f64 z) -13/2)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (-.f64 z -2))))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 z 13/2) (-.f64 z 1/2)) (exp.f64 (neg.f64 (+.f64 z 13/2))))) (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 (.f64 6765203681218851/10000000000000 (+.f64 z 1)) (.f64 z -3147848041806007/2500000000000)) (.f64 z (+.f64 z 1)))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))) (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))))
(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 z -1) 15/2) (-.f64 z 1/2))) (exp.f64 (+.f64 (neg.f64 (-.f64 z -6)) -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 z 0)) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 z -2)) (/.f64 -883075145810703/5000000000000 (-.f64 z -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 z -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 z -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 z -7)))))
(.f64 (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (+.f64 13/2 z)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))

Outputs

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

(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 z 1) (exp.f64 13/2)))) 2152039725249239456482387/525000000000000000000000)

Calls

1 calls:

42.0ms

Results

Accuracy	Segments	Branch
99.9%	2	`z`

Compiler

Compiled 1800 to 1476 computations (18% saved)

regimes82.0ms (0.2%)

Counts

35 → 2

Calls

Call 1

Inputs
(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) 2152039725249239456482387/525000000000000000000000)
(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (/.f64 30223877537487/2500000000000 z))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 9999999999998099/10000000000000000 (.f64 z 373870182501661212981625127/344531250000000000000000)))
(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))
(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 30223877537487/2500000000000 z) 1627039725249339258982387/525000000000000000000000)))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 9999999999998099/10000000000000000 (-.f64 (.f64 373870182501661212981625127/344531250000000000000000 z) 487856279103252796991017613/525000000000000000000000)))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 z 1) (exp.f64 13/2)))) 2152039725249239456482387/525000000000000000000000)
(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 13/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 30223877537487/2500000000000 z) 1627039725249339258982387/525000000000000000000000)))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 z 1) (exp.f64 13/2)))) (/.f64 30223877537487/2500000000000 z))
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(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 30223877537487/2500000000000 z) 1627039725249339258982387/525000000000000000000000)))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 z 1) (exp.f64 13/2)))) (+.f64 (/.f64 30223877537487/2500000000000 z) 2152039725249239456482387/525000000000000000000000))
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(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (.f64 130311870198853951/120000000000000 z) 18646983574419129/20000000000000)) (+.f64 1627039725249339258982387/525000000000000000000000 (*.f64 z -267413577079622897281123/344531250000000000000000)))))
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(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 (neg.f64 z) -13/2)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (-.f64 z -2))))) (+.f64 1627039725249339258982387/525000000000000000000000 (*.f64 z -267413577079622897281123/344531250000000000000000)))))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (-.f64 z -2))))) (-.f64 (/.f64 309219557958850910362579/25000000000000000000000 z) (/.f64 1233414464964485053048753/25000000000000000000000 (.f64 z z))))))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 153960904158449/625000000000 (.f64 z z)) (/.f64 30223877537487/2500000000000 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))
(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 z) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 z 13/2) (-.f64 z 1/2)) (exp.f64 (neg.f64 (+.f64 z 13/2))))) (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (/.f64 -4878157879447497/10000000000000 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))
(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))) (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (-.f64 z -2))))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))
(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (-.f64 z -2))))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))
(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))

Outputs

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

(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 z 1) (exp.f64 13/2)))) 2152039725249239456482387/525000000000000000000000)

Calls

1 calls:

35.0ms

Results

Accuracy	Segments	Branch
99.9%	2	`z`

Compiler

Compiled 1312 to 1075 computations (18.1% saved)

regimes117.0ms (0.2%)

Counts

32 → 2

Calls

Call 1

Inputs
(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) 2152039725249239456482387/525000000000000000000000)
(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (/.f64 30223877537487/2500000000000 z))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 9999999999998099/10000000000000000 (.f64 z 373870182501661212981625127/344531250000000000000000)))
(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))
(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 30223877537487/2500000000000 z) 1627039725249339258982387/525000000000000000000000)))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 9999999999998099/10000000000000000 (-.f64 (.f64 373870182501661212981625127/344531250000000000000000 z) 487856279103252796991017613/525000000000000000000000)))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 z 1) (exp.f64 13/2)))) 2152039725249239456482387/525000000000000000000000)
(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 13/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 30223877537487/2500000000000 z) 1627039725249339258982387/525000000000000000000000)))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 z 1) (exp.f64 13/2)))) (/.f64 30223877537487/2500000000000 z))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (.f64 130311870198853951/120000000000000 z) 18646983574419129/20000000000000)) 1627039725249339258982387/525000000000000000000000)))
(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 30223877537487/2500000000000 z) 1627039725249339258982387/525000000000000000000000)))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 z 1) (exp.f64 13/2)))) (+.f64 (/.f64 30223877537487/2500000000000 z) 2152039725249239456482387/525000000000000000000000))
(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 30223877537487/2500000000000 z) (/.f64 309219557958850910362579/25000000000000000000000 z))))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 z 1) (exp.f64 13/2)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 30223877537487/2500000000000 z) 1627039725249339258982387/525000000000000000000000)))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (.f64 130311870198853951/120000000000000 z) 18646983574419129/20000000000000)) (+.f64 1627039725249339258982387/525000000000000000000000 (*.f64 z -267413577079622897281123/344531250000000000000000)))))
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(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 30223877537487/2500000000000 z) (/.f64 153960904158449/625000000000 (.f64 z z))) (+.f64 1627039725249339258982387/525000000000000000000000 (*.f64 z -267413577079622897281123/344531250000000000000000)))))
(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) 1627039725249339258982387/525000000000000000000000)))
(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) (/.f64 309219557958850910362579/25000000000000000000000 z))))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 z 1) (exp.f64 13/2)))) (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 30223877537487/2500000000000 z) 1627039725249339258982387/525000000000000000000000) (+.f64 (/.f64 30223877537487/2500000000000 z) 1627039725249339258982387/525000000000000000000000))) (-.f64 -1102039725249439061482387/525000000000000000000000 (/.f64 30223877537487/2500000000000 z))))
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(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (-.f64 z -2))))) (/.f64 309219557958850910362579/25000000000000000000000 z))))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (.f64 130311870198853951/120000000000000 z) 18646983574419129/20000000000000)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (-.f64 z -2))))) (+.f64 1627039725249339258982387/525000000000000000000000 (.f64 z -267413577079622897281123/344531250000000000000000)))))
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(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 (neg.f64 z) -13/2)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (-.f64 z -2))))) (+.f64 1627039725249339258982387/525000000000000000000000 (*.f64 z -267413577079622897281123/344531250000000000000000)))))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (-.f64 z -2))))) (-.f64 (/.f64 309219557958850910362579/25000000000000000000000 z) (/.f64 1233414464964485053048753/25000000000000000000000 (.f64 z z))))))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 153960904158449/625000000000 (.f64 z z)) (/.f64 30223877537487/2500000000000 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))
(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 z) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 z 13/2) (-.f64 z 1/2)) (exp.f64 (neg.f64 (+.f64 z 13/2))))) (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (/.f64 -4878157879447497/10000000000000 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))
(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))) (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))))

Outputs

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

(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 z 1) (exp.f64 13/2)))) 2152039725249239456482387/525000000000000000000000)

Calls

1 calls:

79.0ms

Results

Accuracy	Segments	Branch
99.9%	2	`z`

Compiler

Compiled 1117 to 916 computations (18% saved)

regimes45.0ms (0.1%)

Counts

31 → 1

Calls

Call 1

Inputs
(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) 2152039725249239456482387/525000000000000000000000)
(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (/.f64 30223877537487/2500000000000 z))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 9999999999998099/10000000000000000 (.f64 z 373870182501661212981625127/344531250000000000000000)))
(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))
(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 30223877537487/2500000000000 z) 1627039725249339258982387/525000000000000000000000)))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 9999999999998099/10000000000000000 (-.f64 (.f64 373870182501661212981625127/344531250000000000000000 z) 487856279103252796991017613/525000000000000000000000)))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 z 1) (exp.f64 13/2)))) 2152039725249239456482387/525000000000000000000000)
(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 13/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 30223877537487/2500000000000 z) 1627039725249339258982387/525000000000000000000000)))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 z 1) (exp.f64 13/2)))) (/.f64 30223877537487/2500000000000 z))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (.f64 130311870198853951/120000000000000 z) 18646983574419129/20000000000000)) 1627039725249339258982387/525000000000000000000000)))
(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 30223877537487/2500000000000 z) 1627039725249339258982387/525000000000000000000000)))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 z 1) (exp.f64 13/2)))) (+.f64 (/.f64 30223877537487/2500000000000 z) 2152039725249239456482387/525000000000000000000000))
(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 30223877537487/2500000000000 z) (/.f64 309219557958850910362579/25000000000000000000000 z))))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 z 1) (exp.f64 13/2)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 30223877537487/2500000000000 z) 1627039725249339258982387/525000000000000000000000)))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (.f64 130311870198853951/120000000000000 z) 18646983574419129/20000000000000)) (+.f64 1627039725249339258982387/525000000000000000000000 (*.f64 z -267413577079622897281123/344531250000000000000000)))))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (.f64 130311870198853951/120000000000000 z) 18646983574419129/20000000000000)) (-.f64 (/.f64 309219557958850910362579/25000000000000000000000 z) (/.f64 1233414464964485053048753/25000000000000000000000 (*.f64 z z))))))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 30223877537487/2500000000000 z) (/.f64 153960904158449/625000000000 (.f64 z z))) (+.f64 1627039725249339258982387/525000000000000000000000 (*.f64 z -267413577079622897281123/344531250000000000000000)))))
(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) 1627039725249339258982387/525000000000000000000000)))
(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) (/.f64 309219557958850910362579/25000000000000000000000 z))))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 z 1) (exp.f64 13/2)))) (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 30223877537487/2500000000000 z) 1627039725249339258982387/525000000000000000000000) (+.f64 (/.f64 30223877537487/2500000000000 z) 1627039725249339258982387/525000000000000000000000))) (-.f64 -1102039725249439061482387/525000000000000000000000 (/.f64 30223877537487/2500000000000 z))))
(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (-.f64 z -2))))) 1627039725249339258982387/525000000000000000000000)))
(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (-.f64 z -2))))) (/.f64 309219557958850910362579/25000000000000000000000 z))))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (.f64 130311870198853951/120000000000000 z) 18646983574419129/20000000000000)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (-.f64 z -2))))) (+.f64 1627039725249339258982387/525000000000000000000000 (.f64 z -267413577079622897281123/344531250000000000000000)))))
(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 30223877537487/2500000000000 z) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 (neg.f64 z) -13/2)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (-.f64 z -2))))) (+.f64 1627039725249339258982387/525000000000000000000000 (*.f64 z -267413577079622897281123/344531250000000000000000)))))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (-.f64 z -2))))) (-.f64 (/.f64 309219557958850910362579/25000000000000000000000 z) (/.f64 1233414464964485053048753/25000000000000000000000 (.f64 z z))))))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 153960904158449/625000000000 (.f64 z z)) (/.f64 30223877537487/2500000000000 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))
(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 z) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 z 13/2) (-.f64 z 1/2)) (exp.f64 (neg.f64 (+.f64 z 13/2))))) (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (/.f64 -4878157879447497/10000000000000 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))
(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))

Outputs

(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 z 1) (exp.f64 13/2)))) (+.f64 (/.f64 30223877537487/2500000000000 z) 2152039725249239456482387/525000000000000000000000))

Calls

1 calls:

20.0ms

Results

Accuracy	Segments	Branch
98.3%	1	`z`

Compiler

Compiled 1052 to 863 computations (18% saved)

regimes18.0ms (0%)

Counts

11 → 1

Calls

Call 1

Inputs
(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) 2152039725249239456482387/525000000000000000000000)
(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (/.f64 30223877537487/2500000000000 z))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 9999999999998099/10000000000000000 (.f64 z 373870182501661212981625127/344531250000000000000000)))
(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))
(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 30223877537487/2500000000000 z) 1627039725249339258982387/525000000000000000000000)))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 9999999999998099/10000000000000000 (-.f64 (.f64 373870182501661212981625127/344531250000000000000000 z) 487856279103252796991017613/525000000000000000000000)))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 z 1) (exp.f64 13/2)))) 2152039725249239456482387/525000000000000000000000)
(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 13/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 30223877537487/2500000000000 z) 1627039725249339258982387/525000000000000000000000)))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 z 1) (exp.f64 13/2)))) (/.f64 30223877537487/2500000000000 z))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (.f64 130311870198853951/120000000000000 z) 18646983574419129/20000000000000)) 1627039725249339258982387/525000000000000000000000)))
(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 30223877537487/2500000000000 z) 1627039725249339258982387/525000000000000000000000)))

Outputs
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 z 1) (exp.f64 13/2)))) (/.f64 30223877537487/2500000000000 z))

Calls

1 calls:

12.0ms

Results

Accuracy	Segments	Branch
98.3%	1	`z`

Compiler

Compiled 213 to 181 computations (15% saved)

regimes13.0ms (0%)

Counts

8 → 1

Calls

Call 1

Inputs
(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) 2152039725249239456482387/525000000000000000000000)
(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (/.f64 30223877537487/2500000000000 z))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 9999999999998099/10000000000000000 (.f64 z 373870182501661212981625127/344531250000000000000000)))
(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))
(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 30223877537487/2500000000000 z) 1627039725249339258982387/525000000000000000000000)))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 9999999999998099/10000000000000000 (-.f64 (.f64 373870182501661212981625127/344531250000000000000000 z) 487856279103252796991017613/525000000000000000000000)))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 z 1) (exp.f64 13/2)))) 2152039725249239456482387/525000000000000000000000)
(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 13/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 30223877537487/2500000000000 z) 1627039725249339258982387/525000000000000000000000)))

Outputs
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 z 1) (exp.f64 13/2)))) 2152039725249239456482387/525000000000000000000000)

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
98.3%	1	`z`

Compiler

Compiled 141 to 122 computations (13.5% saved)

regimes9.0ms (0%)

Counts

6 → 1

Calls

Call 1

Inputs
(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) 2152039725249239456482387/525000000000000000000000)
(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (/.f64 30223877537487/2500000000000 z))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 9999999999998099/10000000000000000 (.f64 z 373870182501661212981625127/344531250000000000000000)))
(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))
(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 30223877537487/2500000000000 z) 1627039725249339258982387/525000000000000000000000)))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 9999999999998099/10000000000000000 (-.f64 (.f64 373870182501661212981625127/344531250000000000000000 z) 487856279103252796991017613/525000000000000000000000)))

Outputs

(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 9999999999998099/10000000000000000 (-.f64 (*.f64 373870182501661212981625127/344531250000000000000000 z) 487856279103252796991017613/525000000000000000000000)))

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
5.6%	1	`z`

Compiler

Compiled 97 to 86 computations (11.3% saved)

regimes11.0ms (0%)

Counts

5 → 1

Calls

Call 1

Inputs
(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) 2152039725249239456482387/525000000000000000000000)
(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (/.f64 30223877537487/2500000000000 z))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 9999999999998099/10000000000000000 (.f64 z 373870182501661212981625127/344531250000000000000000)))
(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))
(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 30223877537487/2500000000000 z) 1627039725249339258982387/525000000000000000000000)))

Outputs
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 9999999999998099/10000000000000000 (.f64 z 373870182501661212981625127/344531250000000000000000)))

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
5.6%	1	`z`

Compiler

Compiled 79 to 70 computations (11.4% saved)

regimes4.0ms (0%)

Accuracy

Total -0.6b remaining (-0.9%)

Threshold costs -0.6b (-0.9%)

Counts

2 → 1

Calls

Call 1

Inputs

(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) 2152039725249239456482387/525000000000000000000000)

(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (/.f64 30223877537487/2500000000000 z))

Outputs
(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) 2152039725249239456482387/525000000000000000000000)

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
3.2%	1	`z`

Compiler

Compiled 29 to 26 computations (10.3% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	107.73954166654953	5650.682638539304

Compiler

Compiled 79 to 67 computations (15.2% saved)

bsearch12.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
11.0ms	108.73954166654953	5651.682638539304

Results

10.0ms

32×

body

256

infinite

Compiler

Compiled 279 to 239 computations (14.3% saved)

bsearch17.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
16.0ms	108.73954166654953	5651.682638539304

Results

15.0ms

32×

body

256

infinite

Compiler

Compiled 279 to 239 computations (14.3% saved)

bsearch9.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
8.0ms	108.73954166654953	5651.682638539304

Results

6.0ms

32×

body

256

infinite

Compiler

Compiled 279 to 239 computations (14.3% saved)

simplify84.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

236×	`unsub-neg`
132×	`+-commutative`
106×	`neg-mul-1`
80×	`*-commutative`
42×	`distribute-neg-out`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	162	1739
1	259	1739
2	289	1739
3	320	1735
4	377	1735
5	457	1735
6	467	1735
7	534	1735
8	608	1735

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))) (exp.f64 (fma.f64 (neg.f64 (log.f64 (+.f64 13/2 z))) (-.f64 1/2 z) (-.f64 -13/2 z)))))
(if (<=.f64 (-.f64 z 1) 200) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 z -2)))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 z 1) (exp.f64 13/2)))) 2152039725249239456482387/525000000000000000000000))
(if (<=.f64 z 200) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 z 1) (exp.f64 13/2)))) 2152039725249239456482387/525000000000000000000000))
(if (<=.f64 z 200) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (-.f64 z -2))))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 z 1) (exp.f64 13/2)))) 2152039725249239456482387/525000000000000000000000))
(if (<=.f64 z 200) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))) (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 z 1) (exp.f64 13/2)))) 2152039725249239456482387/525000000000000000000000))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 z 1) (exp.f64 13/2)))) (+.f64 (/.f64 30223877537487/2500000000000 z) 2152039725249239456482387/525000000000000000000000))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 z 1) (exp.f64 13/2)))) (/.f64 30223877537487/2500000000000 z))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 z 1) (exp.f64 13/2)))) 2152039725249239456482387/525000000000000000000000)
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 9999999999998099/10000000000000000 (-.f64 (.f64 373870182501661212981625127/344531250000000000000000 z) 487856279103252796991017613/525000000000000000000000)))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 9999999999998099/10000000000000000 (.f64 z 373870182501661212981625127/344531250000000000000000)))
(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) 2152039725249239456482387/525000000000000000000000)

Outputs
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))) (exp.f64 (fma.f64 (neg.f64 (log.f64 (+.f64 13/2 z))) (-.f64 1/2 z) (-.f64 -13/2 z)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))) (exp.f64 (fma.f64 (neg.f64 (log.f64 (+.f64 z 13/2))) (-.f64 1/2 z) (-.f64 -13/2 z)))))
(if (<=.f64 (-.f64 z 1) 200) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 z -2)))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 z 1) (exp.f64 13/2)))) 2152039725249239456482387/525000000000000000000000))
(if (<=.f64 (-.f64 z 1) 200) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 1/2 (+.f64 7 (-.f64 z 1))) (+.f64 1/2 (-.f64 z 1)))) (exp.f64 (neg.f64 (+.f64 1/2 (+.f64 7 (-.f64 z 1)))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 1 (-.f64 z 1)))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (-.f64 z 1)))) (.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 z -2)))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 5 (-.f64 z 1)))) (/.f64 -3464277381643003/25000000000000000 (+.f64 6 (-.f64 z 1)))) (/.f64 2496092394504893/250000000000000000000 (+.f64 7 (-.f64 z 1)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 z 1) (exp.f64 13/2)))) 2152039725249239456482387/525000000000000000000000))
(if (<=.f64 (-.f64 z 1) 200) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 1/2 (+.f64 7 (-.f64 z 1))) (+.f64 1/2 (-.f64 z 1)))) (exp.f64 (-.f64 (neg.f64 (+.f64 7 (-.f64 z 1))) 1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 1 (-.f64 z 1)))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (-.f64 z 1)))) (.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 z -2)))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 5 (-.f64 z 1)))) (/.f64 -3464277381643003/25000000000000000 (+.f64 6 (-.f64 z 1)))) (/.f64 2496092394504893/250000000000000000000 (+.f64 7 (-.f64 z 1)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 z 1) (exp.f64 13/2)))) 2152039725249239456482387/525000000000000000000000))
(if (<=.f64 (+.f64 z -1) 200) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 1/2 (+.f64 7 (+.f64 z -1))) (+.f64 1/2 (+.f64 z -1)))) (exp.f64 (-.f64 (-.f64 (neg.f64 7) (+.f64 z -1)) 1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 1 (+.f64 z -1)))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (+.f64 z -1)))) (.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 z -2)))) (/.f64 -883075145810703/5000000000000 (+.f64 (+.f64 z -1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 5 (+.f64 z -1)))) (/.f64 -3464277381643003/25000000000000000 (+.f64 6 (+.f64 z -1)))) (/.f64 2496092394504893/250000000000000000000 (+.f64 7 (+.f64 z -1)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (+.f64 z -1) 8)))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 z 1) (exp.f64 13/2)))) 2152039725249239456482387/525000000000000000000000))
(if (<=.f64 (+.f64 z -1) 200) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 1/2 (+.f64 7 (+.f64 z -1))) (+.f64 1/2 (+.f64 z -1)))) (exp.f64 (-.f64 (-.f64 (-.f64 1 z) 7) 1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 1 (+.f64 z -1)))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (+.f64 z -1)))) (.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 z -2)))) (/.f64 -883075145810703/5000000000000 (+.f64 (+.f64 z -1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 5 (+.f64 z -1)))) (/.f64 -3464277381643003/25000000000000000 (+.f64 6 (+.f64 z -1)))) (/.f64 2496092394504893/250000000000000000000 (+.f64 7 (+.f64 z -1)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (+.f64 z -1) 8)))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 z 1) (exp.f64 13/2)))) 2152039725249239456482387/525000000000000000000000))
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Compiler

Compiled 582 to 494 computations (15.1% saved)

soundness2.2s (4.4%)

Rules

1790×	`fma-def`
1734×	`times-frac`
1734×	`times-frac`
1392×	`pow1`
1392×	`pow1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	82	532
1	2080	532
0	59	219
1	148	201
2	469	197
3	2991	197
0	235	4254
1	612	4150
2	2493	3858
0	470	8060
1	1207	7972
2	4608	7696
0	264	6056
1	781	5544
2	3591	5328
0	264	6056
1	781	5544
2	3591	5328
0	59	219
1	148	201
2	469	197
3	2991	197
0	82	532
1	2080	532
0	540	15463
1	1539	14499
2	6297	14499
0	82	532
1	2080	532
0	264	6056
1	781	5544
2	3591	5328
0	540	15463
1	1539	14499
2	6297	14499

Stop Event

1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 4763 to 3973 computations (16.6% saved)

end389.0ms (0.8%)

Compiler: Compiled 1334 to 1116 computations (16.3% saved)

Details

analyze1.7s (3.4%)

sample16.0s (32.5%)

preprocess61.0ms (0.1%)

simplify47.0ms (0.1%)

eval6.0ms (0%)

prune39.0ms (0.1%)

localize7.1s (14.4%)

series22.0ms (0%)

rewrite174.0ms (0.4%)

simplify267.0ms (0.5%)

eval735.0ms (1.5%)

prune196.0ms (0.4%)

localize5.4s (11%)

series8.0ms (0%)

rewrite149.0ms (0.3%)

simplify224.0ms (0.5%)

eval2.8s (5.7%)

prune444.0ms (0.9%)

localize3.8s (7.7%)

series5.0ms (0%)

rewrite103.0ms (0.2%)

simplify121.0ms (0.2%)

eval1.6s (3.3%)

prune254.0ms (0.5%)

localize2.8s (5.6%)

series18.0ms (0%)

rewrite120.0ms (0.2%)

simplify145.0ms (0.3%)

eval1.1s (2.3%)

prune308.0ms (0.6%)

regimes178.0ms (0.4%)

regimes192.0ms (0.4%)

regimes117.0ms (0.2%)

regimes82.0ms (0.2%)

regimes117.0ms (0.2%)

regimes45.0ms (0.1%)

regimes18.0ms (0%)

regimes13.0ms (0%)

regimes9.0ms (0%)

regimes11.0ms (0%)

regimes4.0ms (0%)

bsearch1.0ms (0%)

bsearch12.0ms (0%)

bsearch17.0ms (0%)

bsearch9.0ms (0%)

simplify84.0ms (0.2%)

soundness2.2s (4.4%)

end389.0ms (0.8%)

Profiling