Metrics for Jmat.Real.gamma, branch z less than 0.5

analyze2.0s (1.3%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	74.9%	25.1%	0%	0%	0%	0
0%	0%	74.9%	25.1%	0%	0%	0%	1
0%	0%	74.9%	25.1%	0%	0%	0%	2
25%	18.7%	56.2%	25.1%	0%	0%	0%	3
50%	37.5%	37.5%	25.1%	0%	0%	0%	4
56.3%	42.1%	32.8%	25.1%	0%	0%	0%	5
62.5%	46.8%	28.1%	25.1%	0%	0%	0%	6
64.1%	48%	26.9%	25.1%	0%	0%	0%	7
65.6%	49.2%	25.8%	25.1%	0%	0%	0%	8
66%	49.5%	25.5%	25.1%	0%	0%	0%	9
66.4%	49.8%	25.2%	25.1%	0%	0%	0%	10
66.5%	49.8%	25.1%	25.1%	0%	0%	0%	11
66.6%	49.9%	25.1%	25.1%	0%	0%	0%	12

Compiler

Compiled 127 to 113 computations (11% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.2s

Operation ival-sub, time spent: 411.0ms, 33.0% of total-time

Operation ival-add, time spent: 236.0ms, 19.0% of total-time

Operation ival-div, time spent: 127.0ms, 10.0% of total-time

Operation const, time spent: 126.0ms, 10.0% of total-time

Operation ival-mult, time spent: 84.0ms, 7.0% of total-time

Operation ival-neg, time spent: 77.0ms, 6.0% of total-time

Operation ival-pow, time spent: 72.0ms, 6.0% of total-time

Operation ival-sqrt, time spent: 28.0ms, 2.0% of total-time

Operation ival-sin, time spent: 22.0ms, 2.0% of total-time

Operation ival-pi, time spent: 19.0ms, 2.0% of total-time

Operation ival-exp, time spent: 14.0ms, 1.0% of total-time

Operation ival-<=, time spent: 11.0ms, 1.0% of total-time

sample1.6min (64%)

Results

13.2s	8183×	256	valid
1.4min	3866×	8192	exit
99.0ms	76×	256	unsamplable
95.0ms	73×	256	infinite

Precisions

Click to see histograms. Total time spent on operations: 1.3min

Operation ival-sin, time spent: 43.7s, 57.0% of total-time

Operation ival-sub, time spent: 7.6s, 10.0% of total-time

Operation ival-add, time spent: 7.3s, 10.0% of total-time

Operation ival-div, time spent: 5.2s, 7.0% of total-time

Operation ival-pow, time spent: 4.8s, 6.0% of total-time

Operation const, time spent: 2.8s, 4.0% of total-time

Operation ival-mult, time spent: 2.4s, 3.0% of total-time

Operation ival-sqrt, time spent: 1.1s, 1.0% of total-time

Operation ival-pi, time spent: 821.0ms, 1.0% of total-time

Operation ival-exp, time spent: 449.0ms, 1.0% of total-time

Operation ival-neg, time spent: 316.0ms, 0.0% of total-time

Operation ival-<=, time spent: 269.0ms, 0.0% of total-time

Bogosity

preprocess12.5s (8.3%)

Algorithm

1×	egg-herbie

Rules

1318×	`associate-+r+`
1222×	`distribute-rgt-in`
1190×	`distribute-lft-in`
1108×	`associate-r`
884×	`associate-l`

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
251	-	0	-	`(-.f64 (-.f64 1 z) 1)`
1	-	1	(-26.23318637643938)	`(pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))`
1	-	0	-	`(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2))))`
1	-	1	(-26.23318637643938)	`(exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))`
1	-	0	-	`(sin.f64 (*.f64 (PI.f64) z))`
0	-	0	-	`(+.f64 (-.f64 (-.f64 1 z) 1) 1/2)`
0	-	0	-	`(+.f64 (-.f64 (-.f64 1 z) 1) 7)`
0	-	0	-	`6765203681218851/10000000000000`
0	-	0	-	`(+.f64 (-.f64 (-.f64 1 z) 1) 3)`
0	-	0	-	`-3147848041806007/2500000000000`
0	-	0	-	`(+.f64 (-.f64 (-.f64 1 z) 1) 1)`
0	-	0	-	`(+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1)))`
0	-	0	-	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
0	-	0	-	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8))))
0	-	0	-	`(+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3)))`
0	-	0	-	`(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))`
0	-	0	-	`(+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4)))`
0	-	0	-	`(sqrt.f64 (*.f64 (PI.f64) 2))`
0	-	0	-	`(+.f64 (-.f64 (-.f64 1 z) 1) 4)`
0	-	0	-	`2501468655737381/200000000000000`
0	-	0	-	`(PI.f64)`
0	-	0	-	`-883075145810703/5000000000000`
0	-	0	-	`-3464277381643003/25000000000000000`
0	-	0	-	`(+.f64 (-.f64 (-.f64 1 z) 1) 2)`
0	-	0	-	`(+.f64 (-.f64 (-.f64 1 z) 1) 6)`
0	-	0	-	`(/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8))`
0	-	0	-	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7)))
0	-	0	-	`(*.f64 (PI.f64) 2)`
0	-	0	-	`(+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)`
0	-	0	-	`3764081837873279/25000000000000000000000`
0	-	0	-	`(-.f64 1 z)`
0	-	0	-	`(neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2))`
0	-	0	-	`(/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))`
0	-	0	-	`(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2)))`
0	-	0	-	`(/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))`
0	-	0	-	`(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5)))`
0	-	0	-	`2496092394504893/250000000000000000000`
0	-	0	-	`z`
0	-	0	-	`(/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))`
0	-	0	-	`(/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))`
0	-	0	-	`(/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))`
0	-	0	-	`(+.f64 (-.f64 (-.f64 1 z) 1) 8)`
0	-	0	-	`(*.f64 (PI.f64) z)`
0	-	0	-	`9999999999998099/10000000000000000`
0	-	0	-	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))
0	-	0	-	`7713234287776531/10000000000000`
0	-	0	-	`(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2)))`
0	-	0	-	`8`
0	-	0	-	`1/2`
0	-	0	-	`7`
0	-	0	-	`6`
0	-	0	-	`5`
0	-	0	-	`(/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))`
0	-	0	-	`4`
0	-	0	-	`(+.f64 (-.f64 (-.f64 1 z) 1) 5)`
0	-	0	-	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6)))
0	-	0	-	`3`
0	-	0	-	`2`
0	-	0	-	`1`
0	-	0	-	`(/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	105	1488
1	290	1328
2	1316	1080

Stop Event

1×	node limit

Calls

Call 1

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

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

Compiler

Compiled 1914 to 1684 computations (12% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.2s

Operation ival-sub, time spent: 2.4s, 33.0% of total-time

Operation ival-add, time spent: 1.5s, 21.0% of total-time

Operation ival-div, time spent: 985.0ms, 14.0% of total-time

Operation const, time spent: 800.0ms, 11.0% of total-time

Operation ival-sqrt, time spent: 427.0ms, 6.0% of total-time

Operation ival-exp, time spent: 387.0ms, 5.0% of total-time

Operation ival-pow, time spent: 318.0ms, 4.0% of total-time

Operation ival-mult, time spent: 285.0ms, 4.0% of total-time

Operation ival-neg, time spent: 43.0ms, 1.0% of total-time

Operation ival-sin, time spent: 21.0ms, 0.0% of total-time

Operation ival-pi, time spent: 19.0ms, 0.0% of total-time

eval4.0ms (0%)

Compiler: Compiled 272 to 222 computations (18.4% saved)

prune9.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.9%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
▶	98.5%	(.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))))))
▶	98.5%	(.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2))))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0)) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))))
▶	97.8%	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))))

Compiler

Compiled 398 to 342 computations (14.1% saved)

localize14.3s (9.6%)

Localize:

Found 16 expressions with local error:

New	Accuracy	Program
✓	98.4%	(sqrt.f64 (*.f64 (PI.f64) 2))
✓	98.2%	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2))))
✓	95.7%	(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2)))
✓	9.1%	(-.f64 (-.f64 1 z) 1)
✓	98.5%	(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))
✓	98.4%	(sqrt.f64 (*.f64 (PI.f64) 2))
✓	98.4%	(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))
✓	98.2%	(*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))
✓	98.4%	(sqrt.f64 (*.f64 (PI.f64) 2))
✓	98.4%	(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0)) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1)))
✓	98.2%	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2))))
✓	9.1%	(+.f64 (-.f64 1 z) -1)
✓	98.5%	(+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))
✓	98.5%	(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
✓	98.4%	(sqrt.f64 (*.f64 (PI.f64) 2))
✓	98.4%	(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))

Compiler

Compiled 2579 to 2139 computations (17.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.8s

Operation ival-sub, time spent: 2.6s, 30.0% of total-time

Operation ival-add, time spent: 2.2s, 25.0% of total-time

Operation ival-div, time spent: 1.5s, 17.0% of total-time

Operation const, time spent: 1.0s, 12.0% of total-time

Operation ival-pow, time spent: 528.0ms, 6.0% of total-time

Operation ival-mult, time spent: 357.0ms, 4.0% of total-time

Operation ival-exp, time spent: 284.0ms, 3.0% of total-time

Operation ival-sqrt, time spent: 156.0ms, 2.0% of total-time

Operation ival-neg, time spent: 70.0ms, 1.0% of total-time

Operation ival-sin, time spent: 11.0ms, 0.0% of total-time

Operation ival-pi, time spent: 9.0ms, 0.0% of total-time

series17.0ms (0%)

Counts

16 → 144

Calls

36 calls:

Time	Variable		Point	Expression
3.0ms	z	@	0	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2))))
2.0ms	z	@	inf	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2))))
1.0ms	z	@	-inf	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2))))
1.0ms	z	@	0	(*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))
1.0ms	z	@	0	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2))))

rewrite248.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

706×	`log1p-expm1-u`
706×	`expm1-log1p-u`
675×	`pow1`
384×	`unpow-prod-down`
336×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	95	643
1	1987	603

Stop Event

1×	node limit

Counts

16 → 365

Calls

Call 1

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

Outputs
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) 1)
(*.f64 1 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 2) (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (sqrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))
(/.f64 (fma.f64 6765203681218851/10000000000000 (-.f64 2 z) (.f64 (-.f64 1 z) -3147848041806007/2500000000000)) (.f64 (-.f64 1 z) (-.f64 2 z)))
(/.f64 (+.f64 (pow.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 3) (pow.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 3)) (+.f64 (pow.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 2) (-.f64 (pow.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 2) (*.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))
(/.f64 (-.f64 (pow.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 2) (pow.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 2)) (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 2)
(log.f64 (exp.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))
(log.f64 (*.f64 (exp.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (exp.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))
(log.f64 (*.f64 (exp.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (exp.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))
(exp.f64 (log.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))
(fma.f64 6765203681218851/10000000000000 (/.f64 1 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
(fma.f64 1 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
(fma.f64 1 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))
(fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 2) (cbrt.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2) (cbrt.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))
(fma.f64 (sqrt.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (sqrt.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
(fma.f64 (sqrt.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (sqrt.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 2 (PI.f64))))) 1)
(.f64 1 (sqrt.f64 (.f64 2 (PI.f64))))
(.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 2 (PI.f64)))) 2) (cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64)))))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2))
(*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64)))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 2 (PI.f64)))) (sqrt.f64 (sqrt.f64 (*.f64 2 (PI.f64)))))
(.f64 (pow.f64 1 1/2) (sqrt.f64 (.f64 2 (PI.f64))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 2 (PI.f64))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 2 (PI.f64))) 1/2))
(pow.f64 (*.f64 2 (PI.f64)) 1/2)
(pow.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64)))) 3)
(pow.f64 (pow.f64 (*.f64 2 (PI.f64)) 3/2) 1/3)
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 2 (PI.f64)))) 2)
(log.f64 (exp.f64 (sqrt.f64 (*.f64 2 (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 2 (PI.f64))))))
(cbrt.f64 (pow.f64 (*.f64 2 (PI.f64)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 2 (PI.f64)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 2 (PI.f64)))))
(exp.f64 (.f64 (log.f64 (.f64 2 (PI.f64))) 1/2))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 2 (PI.f64)))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 2 (PI.f64)))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) 1)
(*.f64 1 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) 2) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (sqrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))
(/.f64 (fma.f64 7713234287776531/10000000000000 (-.f64 4 z) (.f64 (-.f64 3 z) -883075145810703/5000000000000)) (.f64 (-.f64 3 z) (-.f64 4 z)))
(/.f64 (+.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 3) (pow.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 3)) (+.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 2) (-.f64 (pow.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 2) (*.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))))
(/.f64 (-.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 2) (pow.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 2)) (-.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))
(pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) 2)
(log.f64 (exp.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))))
(log.f64 (*.f64 (exp.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (exp.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))
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(fma.f64 -883075145810703/5000000000000 (/.f64 1 (-.f64 1 (-.f64 z 3))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) 2) (cbrt.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) (/.f64 -883075145810703/5000000000000 (-.f64 1 (-.f64 z 3))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -883075145810703/5000000000000 (-.f64 1 (-.f64 z 3)))) 2) (cbrt.f64 (/.f64 -883075145810703/5000000000000 (-.f64 1 (-.f64 z 3)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))
(fma.f64 (sqrt.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) (sqrt.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) (/.f64 -883075145810703/5000000000000 (-.f64 1 (-.f64 z 3))))
(fma.f64 (sqrt.f64 (/.f64 -883075145810703/5000000000000 (-.f64 1 (-.f64 z 3)))) (sqrt.f64 (/.f64 -883075145810703/5000000000000 (-.f64 1 (-.f64 z 3)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))
(+.f64 (-.f64 1 z) -1)
(+.f64 -1 (-.f64 1 z))
(*.f64 1 (neg.f64 z))
(*.f64 (pow.f64 (cbrt.f64 (neg.f64 z)) 2) (cbrt.f64 (neg.f64 z)))
(*.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (neg.f64 z)))
(/.f64 (+.f64 (pow.f64 (-.f64 1 z) 3) -1) (+.f64 (pow.f64 (-.f64 1 z) 2) (-.f64 1 (*.f64 (-.f64 1 z) -1))))
(/.f64 (-.f64 (pow.f64 (-.f64 1 z) 3) 1) (+.f64 (pow.f64 (-.f64 1 z) 2) (+.f64 1 (*.f64 (-.f64 1 z) 1))))
(/.f64 (-.f64 (pow.f64 (-.f64 1 z) 2) 1) (-.f64 2 z))
(pow.f64 (neg.f64 z) 1)
(pow.f64 (cbrt.f64 (neg.f64 z)) 3)
(pow.f64 (sqrt.f64 (neg.f64 z)) 2)
(pow.f64 (pow.f64 (neg.f64 z) 3) 1/3)
(neg.f64 z)
(log.f64 (exp.f64 (neg.f64 z)))
(log.f64 (+.f64 1 (expm1.f64 (neg.f64 z))))
(log.f64 (/.f64 1 (exp.f64 z)))
(cbrt.f64 (pow.f64 (neg.f64 z) 3))
(expm1.f64 (log1p.f64 (neg.f64 z)))
(exp.f64 (log.f64 (neg.f64 z)))
(exp.f64 (*.f64 (log.f64 (neg.f64 z)) 1))
(log1p.f64 (expm1.f64 (neg.f64 z)))
(fma.f64 1 (-.f64 1 z) -1)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 z)) 2) (cbrt.f64 (-.f64 1 z)) -1)
(fma.f64 (sqrt.f64 (-.f64 1 z)) (sqrt.f64 (-.f64 1 z)) -1)
(-.f64 (exp.f64 (log1p.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))) 1)
(*.f64 1 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) 2) (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))
(*.f64 (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))
(/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 9999999999998099/10000000000000000) 3) (pow.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 3)) (+.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 9999999999998099/10000000000000000) 2) (-.f64 (pow.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 2) (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 9999999999998099/10000000000000000) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 9999999999998099/10000000000000000) 2) (pow.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 2)) (-.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 9999999999998099/10000000000000000) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 1)
(pow.f64 (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) 3)
(pow.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) 2)
(log.f64 (exp.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))))
(log.f64 (*.f64 (exp.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 9999999999998099/10000000000000000)) (exp.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))
(log.f64 (*.f64 (exp.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (exp.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 9999999999998099/10000000000000000))))
(cbrt.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 3))
(expm1.f64 (log1p.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))
(exp.f64 (log.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))
(exp.f64 (*.f64 (log.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) 1))
(log1p.f64 (expm1.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))
(fma.f64 1 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 9999999999998099/10000000000000000) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
(fma.f64 1 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 9999999999998099/10000000000000000))
(fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 9999999999998099/10000000000000000))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2) (cbrt.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 9999999999998099/10000000000000000))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 9999999999998099/10000000000000000)) 2) (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 9999999999998099/10000000000000000)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
(fma.f64 (sqrt.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (sqrt.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 9999999999998099/10000000000000000))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 9999999999998099/10000000000000000)) (sqrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 9999999999998099/10000000000000000)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (exp.f64 (+.f64 (neg.f64 (neg.f64 z)) -15/2)))))) 1)
(pow.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (exp.f64 (+.f64 (neg.f64 (neg.f64 z)) -15/2)))) 1)
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (exp.f64 (+.f64 (neg.f64 (neg.f64 z)) -15/2))))) 3)
(pow.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (exp.f64 (+.f64 (neg.f64 (neg.f64 z)) -15/2)))) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (exp.f64 (+.f64 (neg.f64 (neg.f64 z)) -15/2))))) 2)
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (.f64 2 (PI.f64)))) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (exp.f64 (+.f64 (neg.f64 (neg.f64 z)) -15/2)))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (exp.f64 (+.f64 (neg.f64 (neg.f64 z)) -15/2)))))))
(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (exp.f64 (+.f64 (neg.f64 (neg.f64 z)) -15/2)))) 3))
(expm1.f64 (log1p.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (exp.f64 (+.f64 (neg.f64 (neg.f64 z)) -15/2))))))
(exp.f64 (+.f64 (+.f64 (neg.f64 (neg.f64 z)) -15/2) (log.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z)))))))
(exp.f64 (.f64 (+.f64 (+.f64 (neg.f64 (neg.f64 z)) -15/2) (log.f64 (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z)))))) 1))
(log1p.f64 (expm1.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (exp.f64 (+.f64 (neg.f64 (neg.f64 z)) -15/2))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 2 (PI.f64))))) 1)
(.f64 1 (sqrt.f64 (.f64 2 (PI.f64))))
(.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 2 (PI.f64)))) 2) (cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64)))))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2))
(*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64)))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 2 (PI.f64)))) (sqrt.f64 (sqrt.f64 (*.f64 2 (PI.f64)))))
(.f64 (pow.f64 1 1/2) (sqrt.f64 (.f64 2 (PI.f64))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 2 (PI.f64))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 2 (PI.f64))) 1/2))
(pow.f64 (*.f64 2 (PI.f64)) 1/2)
(pow.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64)))) 3)
(pow.f64 (pow.f64 (*.f64 2 (PI.f64)) 3/2) 1/3)
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 2 (PI.f64)))) 2)
(log.f64 (exp.f64 (sqrt.f64 (*.f64 2 (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 2 (PI.f64))))))
(cbrt.f64 (pow.f64 (*.f64 2 (PI.f64)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 2 (PI.f64)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 2 (PI.f64)))))
(exp.f64 (.f64 (log.f64 (.f64 2 (PI.f64))) 1/2))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 2 (PI.f64)))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 2 (PI.f64)))))

simplify267.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

872×	`fma-neg`
846×	`fma-def`
776×	`log-prod`
674×	`associate-r`
672×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	727	21231
1	1940	20671
2	7227	20671

Stop Event

1×	node limit

Counts

509 → 349

Calls

Call 1

Inputs
469507597606837/10000000000000
(+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))
(+.f64 469507597606837/10000000000000 (+.f64 (.f64 904338909853211/2500000000000 z) (.f64 2076511864126339/4000000000000 (pow.f64 z 2))))
(+.f64 469507597606837/10000000000000 (+.f64 (.f64 904338909853211/2500000000000 z) (+.f64 (.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (*.f64 23912966683069397/40000000000000 (pow.f64 z 3)))))
(/.f64 5826188486005177/10000000000000 z)
(+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 5826188486005177/10000000000000 (/.f64 1 z))))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (.f64 93965933656573373/10000000000000 (/.f64 1 (pow.f64 z 4))) (.f64 5826188486005177/10000000000000 (/.f64 1 z)))))
(/.f64 5826188486005177/10000000000000 z)
(+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 5826188486005177/10000000000000 (/.f64 1 z))))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (.f64 93965933656573373/10000000000000 (/.f64 1 (pow.f64 z 4))) (.f64 5826188486005177/10000000000000 (/.f64 1 z)))))
12777243138120953/60000000000000
(+.f64 12777243138120953/60000000000000 (*.f64 53758197989915921/720000000000000 z))
(+.f64 12777243138120953/60000000000000 (+.f64 (.f64 222980468271960011/8640000000000000 (pow.f64 z 2)) (.f64 53758197989915921/720000000000000 z)))
(+.f64 12777243138120953/60000000000000 (+.f64 (.f64 36630596080989161/4147200000000000 (pow.f64 z 3)) (+.f64 (.f64 222980468271960011/8640000000000000 (pow.f64 z 2)) (*.f64 53758197989915921/720000000000000 z))))
(/.f64 -47576671969241/80000000000 z)
(neg.f64 (+.f64 (.f64 47576671969241/80000000000 (/.f64 1 z)) (.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2)))))
(neg.f64 (+.f64 (.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 41160703924046283/10000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 47576671969241/80000000000 (/.f64 1 z)))))
(neg.f64 (+.f64 (.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 41160703924046283/10000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (.f64 95223707106196353/10000000000000 (/.f64 1 (pow.f64 z 4))) (.f64 47576671969241/80000000000 (/.f64 1 z))))))
(/.f64 -47576671969241/80000000000 z)
(neg.f64 (+.f64 (.f64 47576671969241/80000000000 (/.f64 1 z)) (.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2)))))
(neg.f64 (+.f64 (.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 41160703924046283/10000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 47576671969241/80000000000 (/.f64 1 z)))))
(neg.f64 (+.f64 (.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 41160703924046283/10000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (.f64 95223707106196353/10000000000000 (/.f64 1 (pow.f64 z 4))) (.f64 47576671969241/80000000000 (/.f64 1 z))))))
10409174657078461523082059/4200000000000000000000000
(+.f64 10409174657078461523082059/4200000000000000000000000 (*.f64 350291408665333106351952839/705600000000000000000000000 z))
(+.f64 10409174657078461523082059/4200000000000000000000000 (+.f64 (.f64 11784999493416810208044520019/118540800000000000000000000000 (pow.f64 z 2)) (.f64 350291408665333106351952839/705600000000000000000000000 z)))
(+.f64 10409174657078461523082059/4200000000000000000000000 (+.f64 (.f64 396401817189495604203614369999/19914854400000000000000000000000 (pow.f64 z 3)) (+.f64 (.f64 11784999493416810208044520019/118540800000000000000000000000 (pow.f64 z 2)) (*.f64 350291408665333106351952839/705600000000000000000000000 z))))
(/.f64 -309219557958850910362579/25000000000000000000000 z)
(neg.f64 (+.f64 (.f64 309219557958850910362579/25000000000000000000000 (/.f64 1 z)) (.f64 385658505730833990852833/6250000000000000000000 (/.f64 1 (pow.f64 z 2)))))
(neg.f64 (+.f64 (.f64 385658505730833990852833/6250000000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 1923097008798534553716389/6250000000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 309219557958850910362579/25000000000000000000000 (/.f64 1 z)))))
(neg.f64 (+.f64 (.f64 385658505730833990852833/6250000000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 1923097008798534553716389/6250000000000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (.f64 9584312843660180496487187/6250000000000000000000 (/.f64 1 (pow.f64 z 4))) (.f64 309219557958850910362579/25000000000000000000000 (/.f64 1 z))))))
(/.f64 -309219557958850910362579/25000000000000000000000 z)
(neg.f64 (+.f64 (.f64 309219557958850910362579/25000000000000000000000 (/.f64 1 z)) (.f64 385658505730833990852833/6250000000000000000000 (/.f64 1 (pow.f64 z 2)))))
(neg.f64 (+.f64 (.f64 385658505730833990852833/6250000000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 1923097008798534553716389/6250000000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 309219557958850910362579/25000000000000000000000 (/.f64 1 z)))))
(neg.f64 (+.f64 (.f64 385658505730833990852833/6250000000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 1923097008798534553716389/6250000000000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (.f64 9584312843660180496487187/6250000000000000000000 (/.f64 1 (pow.f64 z 4))) (.f64 309219557958850910362579/25000000000000000000000 (/.f64 1 z))))))
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(.f64 (sqrt.f64 (PI.f64)) (.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))))
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(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (exp.f64 (+.f64 (neg.f64 (neg.f64 z)) -15/2))))) 3)
(pow.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (exp.f64 (+.f64 (neg.f64 (neg.f64 z)) -15/2)))) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (exp.f64 (+.f64 (neg.f64 (neg.f64 z)) -15/2))))) 2)
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (.f64 2 (PI.f64)))) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (exp.f64 (+.f64 (neg.f64 (neg.f64 z)) -15/2)))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (exp.f64 (+.f64 (neg.f64 (neg.f64 z)) -15/2)))))))
(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (exp.f64 (+.f64 (neg.f64 (neg.f64 z)) -15/2)))) 3))
(expm1.f64 (log1p.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (exp.f64 (+.f64 (neg.f64 (neg.f64 z)) -15/2))))))
(exp.f64 (+.f64 (+.f64 (neg.f64 (neg.f64 z)) -15/2) (log.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z)))))))
(exp.f64 (.f64 (+.f64 (+.f64 (neg.f64 (neg.f64 z)) -15/2) (log.f64 (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z)))))) 1))
(log1p.f64 (expm1.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (exp.f64 (+.f64 (neg.f64 (neg.f64 z)) -15/2))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 2 (PI.f64))))) 1)
(.f64 1 (sqrt.f64 (.f64 2 (PI.f64))))
(.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 2 (PI.f64)))) 2) (cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64)))))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2))
(*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64)))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 2 (PI.f64)))) (sqrt.f64 (sqrt.f64 (*.f64 2 (PI.f64)))))
(.f64 (pow.f64 1 1/2) (sqrt.f64 (.f64 2 (PI.f64))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 2 (PI.f64))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 2 (PI.f64))) 1/2))
(pow.f64 (*.f64 2 (PI.f64)) 1/2)
(pow.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64)))) 3)
(pow.f64 (pow.f64 (*.f64 2 (PI.f64)) 3/2) 1/3)
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 2 (PI.f64)))) 2)
(log.f64 (exp.f64 (sqrt.f64 (*.f64 2 (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 2 (PI.f64))))))
(cbrt.f64 (pow.f64 (*.f64 2 (PI.f64)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 2 (PI.f64)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 2 (PI.f64)))))
(exp.f64 (.f64 (log.f64 (.f64 2 (PI.f64))) 1/2))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 2 (PI.f64)))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 2 (PI.f64)))))

Outputs
469507597606837/10000000000000
(+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))
(fma.f64 904338909853211/2500000000000 z 469507597606837/10000000000000)
(+.f64 469507597606837/10000000000000 (+.f64 (.f64 904338909853211/2500000000000 z) (.f64 2076511864126339/4000000000000 (pow.f64 z 2))))
(+.f64 469507597606837/10000000000000 (fma.f64 904338909853211/2500000000000 z (*.f64 2076511864126339/4000000000000 (pow.f64 z 2))))
(+.f64 (fma.f64 904338909853211/2500000000000 z 469507597606837/10000000000000) (*.f64 2076511864126339/4000000000000 (pow.f64 z 2)))
(+.f64 469507597606837/10000000000000 (+.f64 (.f64 904338909853211/2500000000000 z) (+.f64 (.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (*.f64 23912966683069397/40000000000000 (pow.f64 z 3)))))
(+.f64 469507597606837/10000000000000 (fma.f64 904338909853211/2500000000000 z (fma.f64 2076511864126339/4000000000000 (pow.f64 z 2) (*.f64 23912966683069397/40000000000000 (pow.f64 z 3)))))
(+.f64 (fma.f64 904338909853211/2500000000000 z 469507597606837/10000000000000) (fma.f64 2076511864126339/4000000000000 (pow.f64 z 2) (*.f64 23912966683069397/40000000000000 (pow.f64 z 3))))
(/.f64 5826188486005177/10000000000000 z)
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(/.f64 5826188486005177/10000000000000 z)
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12777243138120953/60000000000000
(+.f64 12777243138120953/60000000000000 (*.f64 53758197989915921/720000000000000 z))
(+.f64 12777243138120953/60000000000000 (*.f64 z 53758197989915921/720000000000000))
(fma.f64 z 53758197989915921/720000000000000 12777243138120953/60000000000000)
(+.f64 12777243138120953/60000000000000 (+.f64 (.f64 222980468271960011/8640000000000000 (pow.f64 z 2)) (.f64 53758197989915921/720000000000000 z)))
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(+.f64 (fma.f64 z 53758197989915921/720000000000000 12777243138120953/60000000000000) (*.f64 (pow.f64 z 2) 222980468271960011/8640000000000000))
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(/.f64 -47576671969241/80000000000 z)
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(-.f64 (/.f64 -16075101696843969/10000000000000 (pow.f64 z 2)) (+.f64 (/.f64 47576671969241/80000000000 z) (/.f64 41160703924046283/10000000000000 (pow.f64 z 3))))
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(/.f64 -47576671969241/80000000000 z)
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(-.f64 (/.f64 -16075101696843969/10000000000000 (pow.f64 z 2)) (+.f64 (/.f64 47576671969241/80000000000 z) (+.f64 (/.f64 41160703924046283/10000000000000 (pow.f64 z 3)) (/.f64 95223707106196353/10000000000000 (pow.f64 z 4)))))
10409174657078461523082059/4200000000000000000000000
(+.f64 10409174657078461523082059/4200000000000000000000000 (*.f64 350291408665333106351952839/705600000000000000000000000 z))
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(fma.f64 z 350291408665333106351952839/705600000000000000000000000 10409174657078461523082059/4200000000000000000000000)
(+.f64 10409174657078461523082059/4200000000000000000000000 (+.f64 (.f64 11784999493416810208044520019/118540800000000000000000000000 (pow.f64 z 2)) (.f64 350291408665333106351952839/705600000000000000000000000 z)))
(+.f64 10409174657078461523082059/4200000000000000000000000 (fma.f64 11784999493416810208044520019/118540800000000000000000000000 (pow.f64 z 2) (*.f64 z 350291408665333106351952839/705600000000000000000000000)))
(+.f64 (fma.f64 z 350291408665333106351952839/705600000000000000000000000 10409174657078461523082059/4200000000000000000000000) (*.f64 (pow.f64 z 2) 11784999493416810208044520019/118540800000000000000000000000))
(+.f64 10409174657078461523082059/4200000000000000000000000 (+.f64 (.f64 396401817189495604203614369999/19914854400000000000000000000000 (pow.f64 z 3)) (+.f64 (.f64 11784999493416810208044520019/118540800000000000000000000000 (pow.f64 z 2)) (*.f64 350291408665333106351952839/705600000000000000000000000 z))))
(+.f64 10409174657078461523082059/4200000000000000000000000 (fma.f64 396401817189495604203614369999/19914854400000000000000000000000 (pow.f64 z 3) (fma.f64 11784999493416810208044520019/118540800000000000000000000000 (pow.f64 z 2) (*.f64 z 350291408665333106351952839/705600000000000000000000000))))
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(/.f64 -309219557958850910362579/25000000000000000000000 z)
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(*.f64 -1 z)
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(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
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(neg.f64 z)
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(neg.f64 z)
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469507597606837/10000000000000
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(fma.f64 1 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 9999999999998099/10000000000000000))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 9999999999998099/10000000000000000))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2) (cbrt.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 9999999999998099/10000000000000000))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 9999999999998099/10000000000000000)) 2) (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 9999999999998099/10000000000000000)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(fma.f64 (sqrt.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (sqrt.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 9999999999998099/10000000000000000))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 9999999999998099/10000000000000000)) (sqrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 9999999999998099/10000000000000000)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (exp.f64 (+.f64 (neg.f64 (neg.f64 z)) -15/2)))))) 1)
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (fma.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z) (+.f64 z -15/2))))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2))))
(pow.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (exp.f64 (+.f64 (neg.f64 (neg.f64 z)) -15/2)))) 1)
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (fma.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z) (+.f64 z -15/2))))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2))))
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (exp.f64 (+.f64 (neg.f64 (neg.f64 z)) -15/2))))) 3)
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (fma.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z) (+.f64 z -15/2))))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2))))
(pow.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (exp.f64 (+.f64 (neg.f64 (neg.f64 z)) -15/2)))) 3) 1/3)
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (fma.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z) (+.f64 z -15/2))))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2))))
(pow.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (exp.f64 (+.f64 (neg.f64 (neg.f64 z)) -15/2))))) 2)
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (fma.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z) (+.f64 z -15/2))))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (.f64 2 (PI.f64)))) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (exp.f64 (+.f64 (neg.f64 (neg.f64 z)) -15/2)))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (fma.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z) (+.f64 z -15/2))))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (exp.f64 (+.f64 (neg.f64 (neg.f64 z)) -15/2)))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (fma.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z) (+.f64 z -15/2))))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2))))
(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (exp.f64 (+.f64 (neg.f64 (neg.f64 z)) -15/2)))) 3))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (fma.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z) (+.f64 z -15/2))))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2))))
(expm1.f64 (log1p.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (exp.f64 (+.f64 (neg.f64 (neg.f64 z)) -15/2))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (fma.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z) (+.f64 z -15/2))))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2))))
(exp.f64 (+.f64 (+.f64 (neg.f64 (neg.f64 z)) -15/2) (log.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z)))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (fma.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z) (+.f64 z -15/2))))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2))))
(exp.f64 (.f64 (+.f64 (+.f64 (neg.f64 (neg.f64 z)) -15/2) (log.f64 (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z)))))) 1))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (fma.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z) (+.f64 z -15/2))))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2))))
(log1p.f64 (expm1.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (exp.f64 (+.f64 (neg.f64 (neg.f64 z)) -15/2))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (fma.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z) (+.f64 z -15/2))))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 2 (PI.f64))))) 1)
(sqrt.f64 (*.f64 2 (PI.f64)))
(.f64 1 (sqrt.f64 (.f64 2 (PI.f64))))
(sqrt.f64 (*.f64 2 (PI.f64)))
(.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 2 (PI.f64)))) 2) (cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64)))))
(sqrt.f64 (*.f64 2 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2))
(*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 2 (PI.f64)))) (sqrt.f64 (sqrt.f64 (*.f64 2 (PI.f64)))))
(sqrt.f64 (*.f64 2 (PI.f64)))
(.f64 (pow.f64 1 1/2) (sqrt.f64 (.f64 2 (PI.f64))))
(sqrt.f64 (*.f64 2 (PI.f64)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 2 (PI.f64))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 2 (PI.f64))) 1/2))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 2 (PI.f64))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 2 (PI.f64)))))
(.f64 (fabs.f64 (cbrt.f64 (.f64 2 (PI.f64)))) (sqrt.f64 (cbrt.f64 (*.f64 2 (PI.f64)))))
(pow.f64 (*.f64 2 (PI.f64)) 1/2)
(sqrt.f64 (*.f64 2 (PI.f64)))
(pow.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 1)
(sqrt.f64 (*.f64 2 (PI.f64)))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64)))) 3)
(sqrt.f64 (*.f64 2 (PI.f64)))
(pow.f64 (pow.f64 (*.f64 2 (PI.f64)) 3/2) 1/3)
(cbrt.f64 (pow.f64 (*.f64 2 (PI.f64)) 3/2))
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 2 (PI.f64)))) 2)
(sqrt.f64 (*.f64 2 (PI.f64)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 2 (PI.f64)))))
(sqrt.f64 (*.f64 2 (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 2 (PI.f64))))))
(sqrt.f64 (*.f64 2 (PI.f64)))
(cbrt.f64 (pow.f64 (*.f64 2 (PI.f64)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 2 (PI.f64)))))
(sqrt.f64 (*.f64 2 (PI.f64)))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 2 (PI.f64)))))
(sqrt.f64 (*.f64 2 (PI.f64)))
(exp.f64 (.f64 (log.f64 (.f64 2 (PI.f64))) 1/2))
(sqrt.f64 (*.f64 2 (PI.f64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 2 (PI.f64)))) 1))
(sqrt.f64 (*.f64 2 (PI.f64)))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 2 (PI.f64)))))
(sqrt.f64 (*.f64 2 (PI.f64)))

eval709.0ms (0.5%)

Compiler: Compiled 46536 to 37553 computations (19.3% saved)

prune133.0ms (0.1%)

Pruning

22 alts after pruning (21 fresh and 1 done)

	Pruned	Kept	Total
New	449	21	470
Fresh	0	0	0
Picked	3	1	4
Done	0	0	0
Total	452	22	474

Accuracy

100.0%

Counts

474 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	95.0%	(.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 2 (PI.f64)))) 3) (.f64 (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))))
	95.7%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
	98.4%	(.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))) (/.f64 (fma.f64 7713234287776531/10000000000000 (-.f64 1 (-.f64 z 3)) (.f64 (+.f64 (-.f64 1 z) 2) -883075145810703/5000000000000)) (.f64 (+.f64 (-.f64 1 z) 2) (-.f64 1 (-.f64 z 3))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))))))
	95.2%	(.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 2 (PI.f64)))) 3) (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))))))
▶	97.2%	(.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))))))
	98.5%	(.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))))))
	96.1%	(.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
	98.1%	(.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (+.f64 (+.f64 (neg.f64 (neg.f64 z)) -15/2) (.f64 (+.f64 1/2 (neg.f64 z)) (log.f64 (+.f64 15/2 (neg.f64 z)))))))))
	98.9%	(.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (cbrt.f64 (pow.f64 (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (exp.f64 (+.f64 (neg.f64 (neg.f64 z)) -15/2))) 3)))))
	98.5%	(.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2))))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0)) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))))
▶	98.5%	(.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2))) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0)) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))))
	96.9%	(.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (.f64 (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))))
▶	98.9%	(.f64 (.f64 (fabs.f64 (cbrt.f64 (.f64 2 (PI.f64)))) (sqrt.f64 (cbrt.f64 (.f64 2 (PI.f64))))) (.f64 (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))))
	97.8%	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (fma.f64 6765203681218851/10000000000000 (/.f64 1 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))))
	98.6%	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 (fma.f64 7713234287776531/10000000000000 (-.f64 4 z) (.f64 (-.f64 3 z) -883075145810703/5000000000000)) (.f64 (-.f64 3 z) (-.f64 4 z))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))))
	4.1%	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) (/.f64 -309219557958850910362579/25000000000000000000000 z)))) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))))
✓	97.8%	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))))
	96.7%	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) (+.f64 10409174657078461523082059/4200000000000000000000000 (.f64 z 350291408665333106351952839/705600000000000000000000000))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
▶	96.0%	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) 10409174657078461523082059/4200000000000000000000000))) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))))
▶	97.3%	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 12777243138120953/60000000000000 (.f64 z 53758197989915921/720000000000000)))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
	96.5%	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 12777243138120953/60000000000000)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))))
	96.3%	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))

Compiler

Compiled 3538 to 2956 computations (16.4% saved)

localize12.3s (8.2%)

Localize:

Found 20 expressions with local error:

New	Accuracy	Program
	98.5%	(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))
✓	98.4%	(sqrt.f64 (PI.f64))
✓	98.4%	(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))
	98.2%	(*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))
	98.4%	(sqrt.f64 (*.f64 (PI.f64) 2))
✓	98.4%	(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0)) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1)))
✓	98.2%	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2))) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))
	9.1%	(+.f64 (-.f64 1 z) -1)
✓	98.5%	(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))
	98.5%	(+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))
	98.4%	(sqrt.f64 (*.f64 (PI.f64) 2))
	98.4%	(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
✓	98.5%	(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
	98.5%	(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
	98.4%	(sqrt.f64 (*.f64 (PI.f64) 2))
	98.4%	(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
	98.5%	(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
✓	98.4%	(sqrt.f64 (cbrt.f64 (*.f64 2 (PI.f64))))
✓	98.4%	(cbrt.f64 (*.f64 2 (PI.f64)))
	98.4%	(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))

Compiler

Compiled 2565 to 2010 computations (21.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.3s

Operation ival-sub, time spent: 1.7s, 23.0% of total-time

Operation ival-add, time spent: 1.5s, 21.0% of total-time

Operation ival-div, time spent: 1.5s, 20.0% of total-time

Operation const, time spent: 912.0ms, 13.0% of total-time

Operation ival-pow, time spent: 523.0ms, 7.0% of total-time

Operation ival-mult, time spent: 487.0ms, 7.0% of total-time

Operation ival-exp, time spent: 294.0ms, 4.0% of total-time

Operation ival-sqrt, time spent: 177.0ms, 2.0% of total-time

Operation ival-neg, time spent: 113.0ms, 2.0% of total-time

Operation ival-cbrt, time spent: 43.0ms, 1.0% of total-time

Operation ival-sin, time spent: 15.0ms, 0.0% of total-time

Operation ival-pi, time spent: 8.0ms, 0.0% of total-time

Operation ival-fabs, time spent: 6.0ms, 0.0% of total-time

series4.0ms (0%)

Counts

8 → 60

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	z	@	0	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2))) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))
1.0ms	z	@	0	(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))
0.0ms	z	@	inf	(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))
0.0ms	z	@	inf	(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
0.0ms	z	@	-inf	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2))) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))

rewrite87.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

372×	`log1p-expm1-u`
372×	`expm1-log1p-u`
364×	`add-cube-cbrt`
362×	`add-exp-log`
360×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	54	258
1	974	250

Stop Event

1×	node limit

Counts

8 → 179

Calls

Call 1

Inputs
(cbrt.f64 (*.f64 2 (PI.f64)))
(sqrt.f64 (cbrt.f64 (*.f64 2 (PI.f64))))
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))
(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2))) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0)) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1)))
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))
(sqrt.f64 (PI.f64))

Outputs
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 2 (PI.f64))))) 1)
(.f64 1 (cbrt.f64 (.f64 2 (PI.f64))))
(*.f64 (cbrt.f64 2) (cbrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 2))
(.f64 (pow.f64 (.f64 2 (PI.f64)) 1/6) (pow.f64 (*.f64 2 (PI.f64)) 1/6))
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(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) 1)
(*.f64 1 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) 2) (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (sqrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
(/.f64 (fma.f64 6765203681218851/10000000000000 (+.f64 1 (-.f64 1 z)) (.f64 (-.f64 1 z) -3147848041806007/2500000000000)) (.f64 (-.f64 1 z) (+.f64 1 (-.f64 1 z))))
(/.f64 (-.f64 (pow.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 2) (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) 2)) (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))))
(/.f64 (+.f64 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 (-.f64 1 z) 3)) (/.f64 -31191860336727207531769765603776766852501482343/15625000000000000000000000000000000000 (pow.f64 (+.f64 1 (-.f64 1 z)) 3))) (+.f64 (pow.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 2) (-.f64 (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) 2) (*.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))))))
(pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) 2)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
(exp.f64 (log.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
(fma.f64 1 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))
(fma.f64 1 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))
(fma.f64 6765203681218851/10000000000000 (/.f64 1 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))
(fma.f64 -3147848041806007/2500000000000 (/.f64 1 (+.f64 1 (-.f64 1 z))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) 2) (cbrt.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 2) (cbrt.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))
(fma.f64 (sqrt.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) (sqrt.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))
(fma.f64 (sqrt.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (sqrt.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (PI.f64)))) 1)
(*.f64 1 (sqrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (PI.f64) 1/4))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 1/2) (pow.f64 (cbrt.f64 (PI.f64)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (sqrt.f64 (cbrt.f64 (PI.f64))))
(pow.f64 (PI.f64) 1/2)
(pow.f64 (sqrt.f64 (PI.f64)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3)
(pow.f64 (pow.f64 (PI.f64) 3/2) 1/3)
(pow.f64 (pow.f64 (PI.f64) 1/4) 2)
(log.f64 (exp.f64 (sqrt.f64 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (PI.f64)))))
(cbrt.f64 (pow.f64 (PI.f64) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))
(exp.f64 (log.f64 (sqrt.f64 (PI.f64))))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (PI.f64))))

simplify163.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

704×	`distribute-lft-out`
596×	`associate-l`
582×	`sqr-pow`
574×	`associate-r`
548×	`log-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	527	9214
1	1312	8824
2	4602	8686

Stop Event

1×	node limit

Counts

239 → 260

Calls

Call 1

Inputs
7713234287776531/30000000000000
(+.f64 7713234287776531/30000000000000 (*.f64 7713234287776531/90000000000000 z))
(+.f64 7713234287776531/30000000000000 (+.f64 (.f64 7713234287776531/270000000000000 (pow.f64 z 2)) (.f64 7713234287776531/90000000000000 z)))
(+.f64 7713234287776531/30000000000000 (+.f64 (.f64 7713234287776531/810000000000000 (pow.f64 z 3)) (+.f64 (.f64 7713234287776531/270000000000000 (pow.f64 z 2)) (*.f64 7713234287776531/90000000000000 z))))
(/.f64 -7713234287776531/10000000000000 z)
(neg.f64 (+.f64 (.f64 7713234287776531/10000000000000 (/.f64 1 z)) (.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2)))))
(neg.f64 (+.f64 (.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z)))))
(neg.f64 (+.f64 (.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (.f64 208257325769966337/10000000000000 (/.f64 1 (pow.f64 z 4))) (.f64 7713234287776531/10000000000000 (/.f64 1 z))))))
(/.f64 -7713234287776531/10000000000000 z)
(neg.f64 (+.f64 (.f64 7713234287776531/10000000000000 (/.f64 1 z)) (.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2)))))
(neg.f64 (+.f64 (.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z)))))
(neg.f64 (+.f64 (.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (.f64 208257325769966337/10000000000000 (/.f64 1 (pow.f64 z 4))) (.f64 7713234287776531/10000000000000 (/.f64 1 z))))))
371756020978964147/150000000000000000
(+.f64 371756020978964147/150000000000000000 (*.f64 446800080651085577/900000000000000000 z))
(+.f64 371756020978964147/150000000000000000 (+.f64 (.f64 536852952257631293/5400000000000000000 (pow.f64 z 2)) (.f64 446800080651085577/900000000000000000 z)))
(+.f64 371756020978964147/150000000000000000 (+.f64 (.f64 3224581990927430761/162000000000000000000 (pow.f64 z 3)) (+.f64 (.f64 536852952257631293/5400000000000000000 (pow.f64 z 2)) (*.f64 446800080651085577/900000000000000000 z))))
(/.f64 -154609652292764811/12500000000000000 z)
(neg.f64 (+.f64 (.f64 154609652292764811/12500000000000000 (/.f64 1 z)) (.f64 1542632245546005107/25000000000000000 (/.f64 1 (pow.f64 z 2)))))
(neg.f64 (+.f64 (.f64 1542632245546005107/25000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 7692375563440167517/25000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 154609652292764811/12500000000000000 (/.f64 1 z)))))
(neg.f64 (+.f64 (.f64 1542632245546005107/25000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 7692375563440167517/25000000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (.f64 38337163831461689477/25000000000000000 (/.f64 1 (pow.f64 z 4))) (.f64 154609652292764811/12500000000000000 (/.f64 1 z))))))
(/.f64 -154609652292764811/12500000000000000 z)
(neg.f64 (+.f64 (.f64 154609652292764811/12500000000000000 (/.f64 1 z)) (.f64 1542632245546005107/25000000000000000 (/.f64 1 (pow.f64 z 2)))))
(neg.f64 (+.f64 (.f64 1542632245546005107/25000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 7692375563440167517/25000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 154609652292764811/12500000000000000 (/.f64 1 z)))))
(neg.f64 (+.f64 (.f64 1542632245546005107/25000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 7692375563440167517/25000000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (.f64 38337163831461689477/25000000000000000 (/.f64 1 (pow.f64 z 4))) (.f64 154609652292764811/12500000000000000 (/.f64 1 z))))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))))
(+.f64 (.f64 (sqrt.f64 (PI.f64)) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 2) (sqrt.f64 15/2)))) (.f64 (.f64 z (+.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 2) (sqrt.f64 15/2))) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 15/2) (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15)))))) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 (sqrt.f64 (PI.f64)) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 2) (sqrt.f64 15/2)))) (+.f64 (.f64 (.f64 z (+.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 2) (sqrt.f64 15/2))) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 15/2) (-.f64 (.f64 -1 (log.f64 15/2)) 1/15)))))) (sqrt.f64 (PI.f64))) (.f64 (.f64 (pow.f64 z 2) (+.f64 (.f64 1/2 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 2) (sqrt.f64 15/2)))) (+.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 15/2) (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2)))))) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 15/2) (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15))))))) (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 (sqrt.f64 (PI.f64)) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 2) (sqrt.f64 15/2)))) (+.f64 (.f64 (.f64 z (+.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 2) (sqrt.f64 15/2))) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 15/2) (-.f64 (.f64 -1 (log.f64 15/2)) 1/15)))))) (sqrt.f64 (PI.f64))) (+.f64 (.f64 (.f64 (pow.f64 z 2) (+.f64 (.f64 1/2 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 2) (sqrt.f64 15/2)))) (+.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 15/2) (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2)))))) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 15/2) (-.f64 (.f64 -1 (log.f64 15/2)) 1/15))))))) (sqrt.f64 (PI.f64))) (.f64 (.f64 (pow.f64 z 3) (+.f64 (.f64 1/6 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 2) (sqrt.f64 15/2)))) (+.f64 (.f64 1/2 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 15/2) (-.f64 (.f64 -1 (log.f64 15/2)) 1/15))))) (+.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 15/2) (+.f64 86/10125 (+.f64 (.f64 29/225 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15)) (.f64 1/6 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 3))))))) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 15/2) (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2)))))))))) (sqrt.f64 (PI.f64))))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (exp.f64 (.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z))) (.f64 (exp.f64 (-.f64 z 15/2)) (sqrt.f64 2))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (exp.f64 (.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z))) (.f64 (exp.f64 (-.f64 z 15/2)) (sqrt.f64 2))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (exp.f64 (.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z))) (.f64 (exp.f64 (-.f64 z 15/2)) (sqrt.f64 2))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (exp.f64 (.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z))) (.f64 (exp.f64 (-.f64 z 15/2)) (sqrt.f64 2))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (exp.f64 (neg.f64 (+.f64 15/2 (.f64 -1 z)))) (.f64 (exp.f64 (.f64 (log.f64 (+.f64 15/2 (.f64 -1 z))) (+.f64 1/2 (*.f64 -1 z)))) (sqrt.f64 2))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (exp.f64 (neg.f64 (+.f64 15/2 (.f64 -1 z)))) (.f64 (exp.f64 (.f64 (log.f64 (+.f64 15/2 (.f64 -1 z))) (+.f64 1/2 (*.f64 -1 z)))) (sqrt.f64 2))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (exp.f64 (neg.f64 (+.f64 15/2 (.f64 -1 z)))) (.f64 (exp.f64 (.f64 (log.f64 (+.f64 15/2 (.f64 -1 z))) (+.f64 1/2 (*.f64 -1 z)))) (sqrt.f64 2))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (exp.f64 (neg.f64 (+.f64 15/2 (.f64 -1 z)))) (.f64 (exp.f64 (.f64 (log.f64 (+.f64 15/2 (.f64 -1 z))) (+.f64 1/2 (*.f64 -1 z)))) (sqrt.f64 2))))
469507597606837/10000000000000
(+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))
(+.f64 469507597606837/10000000000000 (+.f64 (.f64 904338909853211/2500000000000 z) (.f64 2076511864126339/4000000000000 (pow.f64 z 2))))
(+.f64 469507597606837/10000000000000 (+.f64 (.f64 904338909853211/2500000000000 z) (+.f64 (.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (*.f64 23912966683069397/40000000000000 (pow.f64 z 3)))))
(/.f64 5826188486005177/10000000000000 z)
(+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 5826188486005177/10000000000000 (/.f64 1 z))))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (.f64 93965933656573373/10000000000000 (/.f64 1 (pow.f64 z 4))) (.f64 5826188486005177/10000000000000 (/.f64 1 z)))))
(/.f64 5826188486005177/10000000000000 z)
(+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 5826188486005177/10000000000000 (/.f64 1 z))))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (.f64 93965933656573373/10000000000000 (/.f64 1 (pow.f64 z 4))) (.f64 5826188486005177/10000000000000 (/.f64 1 z)))))
469507597606837/10000000000000
(+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))
(+.f64 469507597606837/10000000000000 (+.f64 (.f64 904338909853211/2500000000000 z) (.f64 2076511864126339/4000000000000 (pow.f64 z 2))))
(+.f64 469507597606837/10000000000000 (+.f64 (.f64 904338909853211/2500000000000 z) (+.f64 (.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (*.f64 23912966683069397/40000000000000 (pow.f64 z 3)))))
(/.f64 5826188486005177/10000000000000 z)
(+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 5826188486005177/10000000000000 (/.f64 1 z))))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (.f64 93965933656573373/10000000000000 (/.f64 1 (pow.f64 z 4))) (.f64 5826188486005177/10000000000000 (/.f64 1 z)))))
(/.f64 5826188486005177/10000000000000 z)
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(fma.f64 (pow.f64 (cbrt.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 2) (cbrt.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))
(fma.f64 (sqrt.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) (sqrt.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))
(fma.f64 (sqrt.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (sqrt.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) 1)
(*.f64 1 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) 2) (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (sqrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
(/.f64 (fma.f64 6765203681218851/10000000000000 (+.f64 1 (-.f64 1 z)) (.f64 (-.f64 1 z) -3147848041806007/2500000000000)) (.f64 (-.f64 1 z) (+.f64 1 (-.f64 1 z))))
(/.f64 (-.f64 (pow.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 2) (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) 2)) (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))))
(/.f64 (+.f64 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 (-.f64 1 z) 3)) (/.f64 -31191860336727207531769765603776766852501482343/15625000000000000000000000000000000000 (pow.f64 (+.f64 1 (-.f64 1 z)) 3))) (+.f64 (pow.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 2) (-.f64 (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) 2) (*.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))))))
(pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) 2)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
(exp.f64 (log.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
(fma.f64 1 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))
(fma.f64 1 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))
(fma.f64 6765203681218851/10000000000000 (/.f64 1 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))
(fma.f64 -3147848041806007/2500000000000 (/.f64 1 (+.f64 1 (-.f64 1 z))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) 2) (cbrt.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 2) (cbrt.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))
(fma.f64 (sqrt.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) (sqrt.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))
(fma.f64 (sqrt.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (sqrt.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (PI.f64)))) 1)
(*.f64 1 (sqrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (PI.f64) 1/4))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 1/2) (pow.f64 (cbrt.f64 (PI.f64)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (sqrt.f64 (cbrt.f64 (PI.f64))))
(pow.f64 (PI.f64) 1/2)
(pow.f64 (sqrt.f64 (PI.f64)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3)
(pow.f64 (pow.f64 (PI.f64) 3/2) 1/3)
(pow.f64 (pow.f64 (PI.f64) 1/4) 2)
(log.f64 (exp.f64 (sqrt.f64 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (PI.f64)))))
(cbrt.f64 (pow.f64 (PI.f64) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))
(exp.f64 (log.f64 (sqrt.f64 (PI.f64))))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (PI.f64))))

Outputs
7713234287776531/30000000000000
(+.f64 7713234287776531/30000000000000 (*.f64 7713234287776531/90000000000000 z))
(fma.f64 7713234287776531/90000000000000 z 7713234287776531/30000000000000)
(+.f64 7713234287776531/30000000000000 (+.f64 (.f64 7713234287776531/270000000000000 (pow.f64 z 2)) (.f64 7713234287776531/90000000000000 z)))
(+.f64 7713234287776531/30000000000000 (fma.f64 7713234287776531/270000000000000 (pow.f64 z 2) (*.f64 7713234287776531/90000000000000 z)))
(+.f64 (fma.f64 7713234287776531/90000000000000 z 7713234287776531/30000000000000) (*.f64 7713234287776531/270000000000000 (pow.f64 z 2)))
(+.f64 7713234287776531/30000000000000 (.f64 z (+.f64 7713234287776531/90000000000000 (.f64 z 7713234287776531/270000000000000))))
(+.f64 7713234287776531/30000000000000 (+.f64 (.f64 7713234287776531/810000000000000 (pow.f64 z 3)) (+.f64 (.f64 7713234287776531/270000000000000 (pow.f64 z 2)) (*.f64 7713234287776531/90000000000000 z))))
(+.f64 7713234287776531/30000000000000 (fma.f64 7713234287776531/810000000000000 (pow.f64 z 3) (fma.f64 7713234287776531/270000000000000 (pow.f64 z 2) (*.f64 7713234287776531/90000000000000 z))))
(+.f64 (fma.f64 7713234287776531/810000000000000 (pow.f64 z 3) (*.f64 7713234287776531/270000000000000 (pow.f64 z 2))) (fma.f64 7713234287776531/90000000000000 z 7713234287776531/30000000000000))
(+.f64 (.f64 (pow.f64 z 2) (+.f64 7713234287776531/270000000000000 (.f64 z 7713234287776531/810000000000000))) (fma.f64 7713234287776531/90000000000000 z 7713234287776531/30000000000000))
(/.f64 -7713234287776531/10000000000000 z)
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(neg.f64 (+.f64 (/.f64 23139702863329593/10000000000000 (pow.f64 z 2)) (+.f64 (/.f64 7713234287776531/10000000000000 z) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3)))))
(-.f64 (/.f64 -23139702863329593/10000000000000 (pow.f64 z 2)) (+.f64 (/.f64 7713234287776531/10000000000000 z) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3))))
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(neg.f64 (+.f64 (.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (.f64 208257325769966337/10000000000000 (/.f64 1 (pow.f64 z 4))) (.f64 7713234287776531/10000000000000 (/.f64 1 z))))))
(neg.f64 (+.f64 (+.f64 (/.f64 23139702863329593/10000000000000 (pow.f64 z 2)) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3))) (+.f64 (/.f64 7713234287776531/10000000000000 z) (/.f64 208257325769966337/10000000000000 (pow.f64 z 4)))))
(-.f64 (/.f64 -23139702863329593/10000000000000 (pow.f64 z 2)) (+.f64 (/.f64 7713234287776531/10000000000000 z) (+.f64 (/.f64 69419108589988779/10000000000000 (pow.f64 z 3)) (/.f64 208257325769966337/10000000000000 (pow.f64 z 4)))))
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(/.f64 -7713234287776531/10000000000000 z)
(neg.f64 (+.f64 (.f64 7713234287776531/10000000000000 (/.f64 1 z)) (.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2)))))
(neg.f64 (+.f64 (/.f64 7713234287776531/10000000000000 z) (/.f64 23139702863329593/10000000000000 (pow.f64 z 2))))
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(neg.f64 (+.f64 (/.f64 23139702863329593/10000000000000 (pow.f64 z 2)) (+.f64 (/.f64 7713234287776531/10000000000000 z) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3)))))
(-.f64 (/.f64 -23139702863329593/10000000000000 (pow.f64 z 2)) (+.f64 (/.f64 7713234287776531/10000000000000 z) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3))))
(+.f64 (+.f64 (/.f64 -7713234287776531/10000000000000 z) (/.f64 -23139702863329593/10000000000000 (pow.f64 z 2))) (/.f64 -69419108589988779/10000000000000 (pow.f64 z 3)))
(neg.f64 (+.f64 (.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (.f64 208257325769966337/10000000000000 (/.f64 1 (pow.f64 z 4))) (.f64 7713234287776531/10000000000000 (/.f64 1 z))))))
(neg.f64 (+.f64 (+.f64 (/.f64 23139702863329593/10000000000000 (pow.f64 z 2)) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3))) (+.f64 (/.f64 7713234287776531/10000000000000 z) (/.f64 208257325769966337/10000000000000 (pow.f64 z 4)))))
(-.f64 (/.f64 -23139702863329593/10000000000000 (pow.f64 z 2)) (+.f64 (/.f64 7713234287776531/10000000000000 z) (+.f64 (/.f64 69419108589988779/10000000000000 (pow.f64 z 3)) (/.f64 208257325769966337/10000000000000 (pow.f64 z 4)))))
(+.f64 (/.f64 -23139702863329593/10000000000000 (pow.f64 z 2)) (-.f64 (/.f64 -69419108589988779/10000000000000 (pow.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 z) (/.f64 208257325769966337/10000000000000 (pow.f64 z 4)))))
371756020978964147/150000000000000000
(+.f64 371756020978964147/150000000000000000 (*.f64 446800080651085577/900000000000000000 z))
(+.f64 371756020978964147/150000000000000000 (*.f64 z 446800080651085577/900000000000000000))
(fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)
(+.f64 371756020978964147/150000000000000000 (+.f64 (.f64 536852952257631293/5400000000000000000 (pow.f64 z 2)) (.f64 446800080651085577/900000000000000000 z)))
(+.f64 371756020978964147/150000000000000000 (fma.f64 536852952257631293/5400000000000000000 (pow.f64 z 2) (*.f64 z 446800080651085577/900000000000000000)))
(+.f64 371756020978964147/150000000000000000 (fma.f64 (pow.f64 z 2) 536852952257631293/5400000000000000000 (*.f64 z 446800080651085577/900000000000000000)))
(+.f64 371756020978964147/150000000000000000 (.f64 z (+.f64 446800080651085577/900000000000000000 (.f64 z 536852952257631293/5400000000000000000))))
(+.f64 371756020978964147/150000000000000000 (+.f64 (.f64 3224581990927430761/162000000000000000000 (pow.f64 z 3)) (+.f64 (.f64 536852952257631293/5400000000000000000 (pow.f64 z 2)) (*.f64 446800080651085577/900000000000000000 z))))
(+.f64 371756020978964147/150000000000000000 (fma.f64 3224581990927430761/162000000000000000000 (pow.f64 z 3) (fma.f64 536852952257631293/5400000000000000000 (pow.f64 z 2) (*.f64 z 446800080651085577/900000000000000000))))
(+.f64 371756020978964147/150000000000000000 (fma.f64 (pow.f64 z 3) 3224581990927430761/162000000000000000000 (fma.f64 (pow.f64 z 2) 536852952257631293/5400000000000000000 (*.f64 z 446800080651085577/900000000000000000))))
(+.f64 371756020978964147/150000000000000000 (fma.f64 (pow.f64 z 3) 3224581990927430761/162000000000000000000 (.f64 z (+.f64 446800080651085577/900000000000000000 (.f64 z 536852952257631293/5400000000000000000)))))
(/.f64 -154609652292764811/12500000000000000 z)
(neg.f64 (+.f64 (.f64 154609652292764811/12500000000000000 (/.f64 1 z)) (.f64 1542632245546005107/25000000000000000 (/.f64 1 (pow.f64 z 2)))))
(neg.f64 (+.f64 (/.f64 154609652292764811/12500000000000000 z) (/.f64 1542632245546005107/25000000000000000 (pow.f64 z 2))))
(+.f64 (/.f64 -1542632245546005107/25000000000000000 (pow.f64 z 2)) (/.f64 -154609652292764811/12500000000000000 z))
(neg.f64 (+.f64 (.f64 1542632245546005107/25000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 7692375563440167517/25000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 154609652292764811/12500000000000000 (/.f64 1 z)))))
(neg.f64 (+.f64 (/.f64 1542632245546005107/25000000000000000 (pow.f64 z 2)) (+.f64 (/.f64 154609652292764811/12500000000000000 z) (/.f64 7692375563440167517/25000000000000000 (pow.f64 z 3)))))
(-.f64 (/.f64 -1542632245546005107/25000000000000000 (pow.f64 z 2)) (+.f64 (/.f64 154609652292764811/12500000000000000 z) (/.f64 7692375563440167517/25000000000000000 (pow.f64 z 3))))
(+.f64 (/.f64 -1542632245546005107/25000000000000000 (pow.f64 z 2)) (+.f64 (/.f64 -154609652292764811/12500000000000000 z) (/.f64 -7692375563440167517/25000000000000000 (pow.f64 z 3))))
(neg.f64 (+.f64 (.f64 1542632245546005107/25000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 7692375563440167517/25000000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (.f64 38337163831461689477/25000000000000000 (/.f64 1 (pow.f64 z 4))) (.f64 154609652292764811/12500000000000000 (/.f64 1 z))))))
(neg.f64 (+.f64 (+.f64 (/.f64 1542632245546005107/25000000000000000 (pow.f64 z 2)) (/.f64 7692375563440167517/25000000000000000 (pow.f64 z 3))) (+.f64 (/.f64 154609652292764811/12500000000000000 z) (/.f64 38337163831461689477/25000000000000000 (pow.f64 z 4)))))
(-.f64 (/.f64 -1542632245546005107/25000000000000000 (pow.f64 z 2)) (+.f64 (/.f64 154609652292764811/12500000000000000 z) (+.f64 (/.f64 7692375563440167517/25000000000000000 (pow.f64 z 3)) (/.f64 38337163831461689477/25000000000000000 (pow.f64 z 4)))))
(+.f64 (/.f64 -1542632245546005107/25000000000000000 (pow.f64 z 2)) (-.f64 (/.f64 -7692375563440167517/25000000000000000 (pow.f64 z 3)) (+.f64 (/.f64 154609652292764811/12500000000000000 z) (/.f64 38337163831461689477/25000000000000000 (pow.f64 z 4)))))
(/.f64 -154609652292764811/12500000000000000 z)
(neg.f64 (+.f64 (.f64 154609652292764811/12500000000000000 (/.f64 1 z)) (.f64 1542632245546005107/25000000000000000 (/.f64 1 (pow.f64 z 2)))))
(neg.f64 (+.f64 (/.f64 154609652292764811/12500000000000000 z) (/.f64 1542632245546005107/25000000000000000 (pow.f64 z 2))))
(+.f64 (/.f64 -1542632245546005107/25000000000000000 (pow.f64 z 2)) (/.f64 -154609652292764811/12500000000000000 z))
(neg.f64 (+.f64 (.f64 1542632245546005107/25000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 7692375563440167517/25000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 154609652292764811/12500000000000000 (/.f64 1 z)))))
(neg.f64 (+.f64 (/.f64 1542632245546005107/25000000000000000 (pow.f64 z 2)) (+.f64 (/.f64 154609652292764811/12500000000000000 z) (/.f64 7692375563440167517/25000000000000000 (pow.f64 z 3)))))
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eval1.8s (1.2%)

Compiler: Compiled 116161 to 89035 computations (23.4% saved)

prune254.0ms (0.2%)

Pruning

27 alts after pruning (24 fresh and 3 done)

	Pruned	Kept	Total
New	1444	11	1455
Fresh	3	13	16
Picked	3	2	5
Done	0	1	1
Total	1450	27	1477

Accuracy

100.0%

Counts

1477 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	95.0%	(.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 2 (PI.f64)))) 3) (.f64 (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))))
	95.7%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
	98.4%	(.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))) (/.f64 (fma.f64 7713234287776531/10000000000000 (-.f64 1 (-.f64 z 3)) (.f64 (+.f64 (-.f64 1 z) 2) -883075145810703/5000000000000)) (.f64 (+.f64 (-.f64 1 z) 2) (-.f64 1 (-.f64 z 3))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))))))
	95.2%	(.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 2 (PI.f64)))) 3) (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))))))
✓	97.2%	(.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))))))
	98.5%	(.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))))))
	96.1%	(.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
	98.1%	(.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (+.f64 (+.f64 (neg.f64 (neg.f64 z)) -15/2) (.f64 (+.f64 1/2 (neg.f64 z)) (log.f64 (+.f64 15/2 (neg.f64 z)))))))))
	98.9%	(.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (cbrt.f64 (pow.f64 (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (exp.f64 (+.f64 (neg.f64 (neg.f64 z)) -15/2))) 3)))))
▶	98.5%	(.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2))))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0)) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))))
▶	98.5%	(.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2))) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (fma.f64 6765203681218851/10000000000000 (/.f64 1 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))))
	98.5%	(.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1 (+.f64 z 1/2)))) (exp.f64 (neg.f64 (-.f64 15/2 z))))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0)) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))))
	96.9%	(.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (.f64 (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))))
▶	98.9%	(.f64 (.f64 (fabs.f64 (cbrt.f64 (.f64 2 (PI.f64)))) (pow.f64 (.f64 2 (PI.f64)) 1/6)) (.f64 (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))))
	97.8%	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (fma.f64 6765203681218851/10000000000000 (/.f64 1 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))))
	3.7%	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 5826188486005177/10000000000000 z) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) 10409174657078461523082059/4200000000000000000000000))) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))))
	3.8%	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 -47576671969241/80000000000 z))) 10409174657078461523082059/4200000000000000000000000))) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))))
	4.1%	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) (/.f64 -309219557958850910362579/25000000000000000000000 z)))) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))))
✓	97.8%	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))))
	96.7%	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) (+.f64 10409174657078461523082059/4200000000000000000000000 (.f64 z 350291408665333106351952839/705600000000000000000000000))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
✓	96.0%	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) 10409174657078461523082059/4200000000000000000000000))) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))))
▶	96.4%	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 7713234287776531/30000000000000 (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) 10409174657078461523082059/4200000000000000000000000))) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))))
	97.3%	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 12777243138120953/60000000000000 (.f64 z 53758197989915921/720000000000000)))) (+.f64 10409174657078461523082059/4200000000000000000000000 (.f64 z 350291408665333106351952839/705600000000000000000000000))))) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))))
	96.8%	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 12777243138120953/60000000000000 (.f64 z 53758197989915921/720000000000000)))) 10409174657078461523082059/4200000000000000000000000))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
	96.5%	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 12777243138120953/60000000000000)) 10409174657078461523082059/4200000000000000000000000))) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))))
	95.8%	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) 10409174657078461523082059/4200000000000000000000000))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
▶	95.4%	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) 10409174657078461523082059/4200000000000000000000000))) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))))

Compiler

Compiled 3751 to 3131 computations (16.5% saved)

localize9.1s (6.1%)

Results

Compiler

Compiled 2270 to 1773 computations (21.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0s

Operation ival-sub, time spent: 1.3s, 25.0% of total-time

Operation ival-div, time spent: 977.0ms, 20.0% of total-time

Operation ival-add, time spent: 846.0ms, 17.0% of total-time

Operation const, time spent: 667.0ms, 13.0% of total-time

Operation ival-pow, time spent: 449.0ms, 9.0% of total-time

Operation ival-mult, time spent: 356.0ms, 7.0% of total-time

Operation ival-exp, time spent: 229.0ms, 5.0% of total-time

Operation ival-sqrt, time spent: 105.0ms, 2.0% of total-time

Operation ival-fma, time spent: 38.0ms, 1.0% of total-time

Operation ival-cbrt, time spent: 21.0ms, 0.0% of total-time

Operation ival-neg, time spent: 21.0ms, 0.0% of total-time

Operation ival-sin, time spent: 7.0ms, 0.0% of total-time

Operation ival-pi, time spent: 7.0ms, 0.0% of total-time

Operation ival-fabs, time spent: 5.0ms, 0.0% of total-time

analyze2.0s (1.3%)

sample1.6min (64%)

preprocess12.5s (8.3%)

eval4.0ms (0%)

prune9.0ms (0%)

localize14.3s (9.6%)

series17.0ms (0%)

rewrite248.0ms (0.2%)

simplify267.0ms (0.2%)

eval709.0ms (0.5%)

prune133.0ms (0.1%)

localize12.3s (8.2%)

series4.0ms (0%)

rewrite87.0ms (0.1%)

simplify163.0ms (0.1%)

eval1.8s (1.2%)

prune254.0ms (0.2%)

localize9.1s (6.1%)

Profiling