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

start0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated

analyze596.0ms (2.5%)

Memory

24.1MiB live, 768.0MiB allocated

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 61 computations (52% saved)

sample9.2s (38.4%)

Memory

56.5MiB live, 10 920.9MiB allocated

Samples

5.3s	8 256×	valid
2.3s	3 869×	invalid
38.0ms	81×	exit

Precisions

Click to see histograms. Total time spent on operations: 6.9s

const: 2.1s (30.8% of total)

ival-add: 1.5s (21.5% of total)

ival-div: 1.2s (17.3% of total)

ival-mult: 523.0ms (7.5% of total)

ival-sinu: 336.0ms (4.8% of total)

ival-pow: 282.0ms (4.1% of total)

ival-<=: 261.0ms (3.8% of total)

ival-sqrt: 157.0ms (2.3% of total)

ival-sub: 155.0ms (2.2% of total)

ival-exp: 148.0ms (2.1% of total)

ival-pi: 110.0ms (1.6% of total)

ival-neg: 67.0ms (1% of total)

exact: 61.0ms (0.9% of total)

ival-assert: 6.0ms (0.1% of total)

Bogosity

explain2.3s (9.5%)

Memory

-11.3MiB live, 1 898.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
252	-	1	(-0.011772143687782958)	`(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))`
1	-	0	-	`(sin.f64 (*.f64 (PI.f64) z))`
1	-	0	-	`(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)))))`
0	-	0	-	`(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64))`
0	-	0	-	`(pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))`
0	-	0	-	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
0	-	0	-	`#s(literal 8 binary64)`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`#s(literal 3 binary64)`
0	-	0	-	`#s(literal 9999999999998099/10000000000000000 binary64)`
0	-	0	-	`(.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64))))`
0	-	0	-	`(+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64))))`
0	-	0	-	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64))))
0	-	0	-	`(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64))`
0	-	0	-	`#s(literal 7713234287776531/10000000000000 binary64)`
0	-	0	-	`(*.f64 (PI.f64) z)`
0	-	0	-	`#s(literal 1/2 binary64)`
0	-	0	-	`#s(literal 7 binary64)`
0	-	0	-	`(/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))`
0	-	0	-	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64))))
0	-	0	-	`(-.f64 #s(literal 1 binary64) z)`
0	-	0	-	`#s(literal 6765203681218851/10000000000000 binary64)`
0	-	0	-	`#s(literal 3764081837873279/25000000000000000000000 binary64)`
0	-	0	-	`z`
0	-	0	-	`(/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))`
0	-	0	-	(+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64))))
0	-	0	-	`(/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))`
0	-	0	-	`#s(literal 6 binary64)`
0	-	0	-	`(sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))`
0	-	0	-	`(exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))`
0	-	0	-	`(neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)))`
0	-	0	-	`(+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64))))`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64))`
0	-	0	-	`(/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))`
0	-	0	-	`(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))`
0	-	0	-	`(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64))`
0	-	0	-	(+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64))))
0	-	0	-	`(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64))`
0	-	0	-	`#s(literal -883075145810703/5000000000000 binary64)`
0	-	0	-	`#s(literal 5 binary64)`
0	-	0	-	`(/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))`
0	-	0	-	`#s(literal -3147848041806007/2500000000000 binary64)`
0	-	0	-	`#s(literal -3464277381643003/25000000000000000 binary64)`
0	-	0	-	`#s(literal 2501468655737381/200000000000000 binary64)`
0	-	0	-	`(/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))`
0	-	0	-	`(+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))`
0	-	0	-	`(PI.f64)`
0	-	0	-	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64))))
0	-	0	-	`(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))`
0	-	0	-	`(*.f64 (PI.f64) #s(literal 2 binary64))`
0	-	0	-	`#s(literal 4 binary64)`
0	-	0	-	`#s(literal 2496092394504893/250000000000000000000 binary64)`
0	-	0	-	`(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64))`
0	-	0	-	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))
0	-	0	-	`(/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64)))`
0	-	0	-	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64)))))
0	-	0	-	`(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64))`
0	-	0	-	`(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64))`
0	-	0	-	`(/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))`	cancellation	15	1
`*.f64`	`(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)))))`	*ou**	1	0
↳	`(.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64))))`	overflow	1
↳	`(pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))`	overflow	1
↳	`(exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))`	underflow	1
`sin.f64`	`(sin.f64 (*.f64 (PI.f64) z))`	sensitivity	1	0

Confusion

	Predicted +	Predicted -
+	1	0
-	15	240

Precision

0.0625

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	15	1	239

Precision?

0.058823529411764705

Recall?

1.0

Freqs

test

number	freq
0	240
1	15
2	1

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

656.0ms	158×	2	valid
594.0ms	310×	1	valid
30.0ms	44×	0	valid

Compiler

Compiled 2 806 to 244 computations (91.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 974.0ms

adjust: 264.0ms (27.1% of total)

ival-add: 210.0ms (21.6% of total)

ival-pow: 209.0ms (21.5% of total)

const: 88.0ms (9% of total)

ival-div: 84.0ms (8.6% of total)

ival-exp: 47.0ms (4.8% of total)

ival-mult: 38.0ms (3.9% of total)

ival-sub: 13.0ms (1.3% of total)

ival-sinu: 7.0ms (0.7% of total)

ival-neg: 5.0ms (0.5% of total)

ival-sqrt: 4.0ms (0.4% of total)

ival-pi: 2.0ms (0.2% of total)

exact: 2.0ms (0.2% of total)

ival-true: 1.0ms (0.1% of total)

ival-assert: 0.0ms (0% of total)

preprocess173.0ms (0.7%)

Memory

2.4MiB live, 278.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	62	227
1	168	193
2	720	149
3	5230	149
0	60	123
0	101	101
1	197	95
2	657	76
3	4170	74
0	8231	74

Stop Event

1×	iter limit
1×	node limit
1×	iter limit
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) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))

Outputs

(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64))) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))) (exp.f64 (-.f64 z #s(literal 15/2 binary64)))))

Compiler

Compiled 123 to 60 computations (51.2% saved)

eval0.0ms (0%)

Memory: 0.9MiB live, 0.9MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune1.0ms (0%)

Memory

6.0MiB live, 6.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.0%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))

Status

Accuracy

Program

▶

97.0%

(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))

Compiler

Compiled 123 to 60 computations (51.2% saved)

simplify165.0ms (0.7%)

Memory

26.6MiB live, 229.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	128	(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64))
cost-diff	128	(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64))
cost-diff	192	(+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))
cost-diff	256	(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	60	893
0	101	721
1	197	677
2	657	534
3	4170	523
0	8231	523

Stop Event

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

Calls

Call 1

Inputs
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
(PI.f64)
(sin.f64 (*.f64 (PI.f64) z))
(*.f64 (PI.f64) z)
z
(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64)))))
(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
(sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))
(*.f64 (PI.f64) #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64))
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
#s(literal 7 binary64)
#s(literal 1/2 binary64)
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))
(neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)))
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64))))
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64))))
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64))))
(+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64))))
(+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64))))
(+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64))))
(+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(literal 9999999999998099/10000000000000000 binary64)
(/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(literal 6765203681218851/10000000000000 binary64)
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))
#s(literal -3147848041806007/2500000000000 binary64)
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))
#s(literal 7713234287776531/10000000000000 binary64)
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64))
#s(literal 3 binary64)
(/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))
#s(literal -883075145810703/5000000000000 binary64)
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64))
#s(literal 4 binary64)
(/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))
#s(literal 2501468655737381/200000000000000 binary64)
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64))
#s(literal 5 binary64)
(/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))
#s(literal -3464277381643003/25000000000000000 binary64)
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64))
#s(literal 6 binary64)
(/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))
#s(literal 2496092394504893/250000000000000000000 binary64)
(/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64)))
#s(literal 3764081837873279/25000000000000000000000 binary64)
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))
#s(literal 8 binary64)

Outputs
(.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (.f64 (.f64 (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64))) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))))) (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64)))) (exp.f64 (-.f64 z #s(literal 15/2 binary64)))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(PI.f64)
(sin.f64 (*.f64 z (PI.f64)))
(*.f64 z (PI.f64))
z
(.f64 (.f64 (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64))) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (.f64 (exp.f64 (-.f64 z #s(literal 15/2 binary64))) (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64)))))
(.f64 (exp.f64 (-.f64 z #s(literal 15/2 binary64))) (.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))))
(.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))
(*.f64 #s(literal 2 binary64) (PI.f64))
#s(literal 2 binary64)
(pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))
(-.f64 #s(literal 15/2 binary64) z)
(-.f64 #s(literal 7 binary64) z)
(neg.f64 z)
(-.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
#s(literal 7 binary64)
#s(literal 1/2 binary64)
(-.f64 #s(literal 1/2 binary64) z)
(exp.f64 (-.f64 z #s(literal 15/2 binary64)))
(-.f64 z #s(literal 15/2 binary64))
(+.f64 (+.f64 (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64))) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)))))
(+.f64 (+.f64 (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64))))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z))))
(+.f64 (+.f64 (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))) (+.f64 (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)))))
(+.f64 (+.f64 (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64))) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))))
(+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)))))
(+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64))))
(+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)))
(+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64))
#s(literal 9999999999998099/10000000000000000 binary64)
(/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))
#s(literal 6765203681218851/10000000000000 binary64)
(-.f64 #s(literal 1 binary64) z)
(/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))
#s(literal -3147848041806007/2500000000000 binary64)
(-.f64 #s(literal 2 binary64) z)
(/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))
#s(literal 7713234287776531/10000000000000 binary64)
(-.f64 #s(literal 3 binary64) z)
#s(literal 3 binary64)
(/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z))
#s(literal -883075145810703/5000000000000 binary64)
(-.f64 #s(literal 4 binary64) z)
#s(literal 4 binary64)
(/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z))
#s(literal 2501468655737381/200000000000000 binary64)
(-.f64 #s(literal 5 binary64) z)
#s(literal 5 binary64)
(/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z))
#s(literal -3464277381643003/25000000000000000 binary64)
(-.f64 #s(literal 6 binary64) z)
#s(literal 6 binary64)
(/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))
#s(literal 2496092394504893/250000000000000000000 binary64)
(/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z))
#s(literal 3764081837873279/25000000000000000000000 binary64)
(-.f64 #s(literal 8 binary64) z)
#s(literal 8 binary64)

localize376.0ms (1.6%)

Memory

-3.4MiB live, 670.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	1.0	(sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))
accuracy	1.16796875	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)))))
accuracy	2.76213902418616	(+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64))))
accuracy	58.39908663065375	(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))

Samples

183.0ms	155×	1	valid
108.0ms	79×	2	valid
14.0ms	22×	0	valid

Compiler

Compiled 1 788 to 122 computations (93.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 253.0ms

adjust: 62.0ms (24.5% of total)

const: 58.0ms (22.9% of total)

ival-add: 47.0ms (18.6% of total)

ival-div: 28.0ms (11.1% of total)

ival-pow: 17.0ms (6.7% of total)

ival-mult: 16.0ms (6.3% of total)

ival-exp: 6.0ms (2.4% of total)

ival-sub: 6.0ms (2.4% of total)

ival-sqrt: 4.0ms (1.6% of total)

ival-sinu: 3.0ms (1.2% of total)

ival-neg: 3.0ms (1.2% of total)

ival-pi: 1.0ms (0.4% of total)

exact: 1.0ms (0.4% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series41.0ms (0.2%)

Memory

-17.9MiB live, 19.6MiB allocated

Counts

7 → 72

Calls

Call 1

Inputs
#s(alt #<batchref> (patch (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) #<representation binary64>) () ())

Outputs
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #<representation binary64>) () ())) ())
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Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	z	@	inf	((- (- 1 z) 1) (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 7) (+ (- (- 1 z) 1) 1/2) (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (sqrt (* (PI) 2)))
2.0ms	z	@	0	((- (- 1 z) 1) (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 7) (+ (- (- 1 z) 1) 1/2) (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (sqrt (* (PI) 2)))
2.0ms	z	@	-inf	((- (- 1 z) 1) (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 7) (+ (- (- 1 z) 1) 1/2) (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (sqrt (* (PI) 2)))

Time

Variable

Point

Expression

3.0ms

inf

((- (- 1 z) 1) (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 7) (+ (- (- 1 z) 1) 1/2) (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (sqrt (* (PI) 2)))

2.0ms

((- (- 1 z) 1) (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 7) (+ (- (- 1 z) 1) 1/2) (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (sqrt (* (PI) 2)))

2.0ms

-inf

((- (- 1 z) 1) (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 7) (+ (- (- 1 z) 1) 1/2) (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (sqrt (* (PI) 2)))

simplify185.0ms (0.8%)

Memory

-21.0MiB live, 264.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	148	733
1	456	692
2	1417	648
3	5091	647
0	8074	626

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

Inputs
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
15/2
(+ 15/2 (* -1 z))
(+ 15/2 (* -1 z))
(+ 15/2 (* -1 z))
7
(+ 7 (* -1 z))
(+ 7 (* -1 z))
(+ 7 (* -1 z))
1/2
(+ 1/2 (* -1 z))
(+ 1/2 (* -1 z))
(+ 1/2 (* -1 z))
479507597606835099/10000000000000000
(+ 479507597606835099/10000000000000000 (* 904338909853211/2500000000000 z))
(+ 479507597606835099/10000000000000000 (* z (+ 904338909853211/2500000000000 (* 2076511864126339/4000000000000 z))))
(+ 479507597606835099/10000000000000000 (* z (+ 904338909853211/2500000000000 (* z (+ 2076511864126339/4000000000000 (* 23912966683069397/40000000000000 z))))))
(* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))))
(+ (* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))) (* (* z (+ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15)))))) (sqrt (PI))))
(+ (* z (+ (* (sqrt (PI)) (+ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15)))))) (* (* z (+ (* 1/2 (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))) (+ (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2)))))) (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))))))) (sqrt (PI))))) (* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))))
(+ (* z (+ (* z (+ (* (sqrt (PI)) (+ (* 1/2 (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))) (+ (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2)))))) (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))))))) (* (* z (+ (* 1/6 (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))) (+ (* 1/2 (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))))) (+ (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (+ 86/10125 (+ (* 29/225 (- (* -1 (log 15/2)) 1/15)) (* 1/6 (pow (- (* -1 (log 15/2)) 1/15) 3))))))) (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2)))))))))) (sqrt (PI))))) (* (sqrt (PI)) (+ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15)))))))) (* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* z (- (* 15/2 (/ 1 z)) 1))
(* z (- (* 15/2 (/ 1 z)) 1))
(* z (- (* 15/2 (/ 1 z)) 1))
(* -1 z)
(* z (- (* 7 (/ 1 z)) 1))
(* z (- (* 7 (/ 1 z)) 1))
(* z (- (* 7 (/ 1 z)) 1))
(* -1 z)
(* z (- (* 1/2 (/ 1 z)) 1))
(* z (- (* 1/2 (/ 1 z)) 1))
(* z (- (* 1/2 (/ 1 z)) 1))
9999999999998099/10000000000000000
(+ 9999999999998099/10000000000000000 (* 5826188486005177/10000000000000 (/ 1 z)))
(+ 9999999999998099/10000000000000000 (+ (* 5826188486005177/10000000000000 (/ 1 z)) (/ 3683516130645841/2000000000000 (pow z 2))))
(+ 9999999999998099/10000000000000000 (+ (* 5826188486005177/10000000000000 (/ 1 z)) (+ (* 43600364987677261/10000000000000 (/ 1 (pow z 3))) (/ 3683516130645841/2000000000000 (pow z 2)))))
(* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))))
(* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))))
(* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))))
(* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 (* z (- 1 (* 15/2 (/ 1 z)))))
(* -1 (* z (- 1 (* 15/2 (/ 1 z)))))
(* -1 (* z (- 1 (* 15/2 (/ 1 z)))))
(* -1 z)
(* -1 (* z (- 1 (* 7 (/ 1 z)))))
(* -1 (* z (- 1 (* 7 (/ 1 z)))))
(* -1 (* z (- 1 (* 7 (/ 1 z)))))
(* -1 z)
(* -1 (* z (- 1 (* 1/2 (/ 1 z)))))
(* -1 (* z (- 1 (* 1/2 (/ 1 z)))))
(* -1 (* z (- 1 (* 1/2 (/ 1 z)))))
9999999999998099/10000000000000000
(+ 9999999999998099/10000000000000000 (* 5826188486005177/10000000000000 (/ 1 z)))
(+ 9999999999998099/10000000000000000 (+ (* 5826188486005177/10000000000000 (/ 1 z)) (/ 3683516130645841/2000000000000 (pow z 2))))
(+ 9999999999998099/10000000000000000 (* -1 (/ (- (* -1 (/ (+ 3683516130645841/2000000000000 (* 43600364987677261/10000000000000 (/ 1 z))) z)) 5826188486005177/10000000000000) z)))
(* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))
(* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))
(* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))
(* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))

Outputs
(neg.f64 z)
(neg.f64 z)
(neg.f64 z)
(neg.f64 z)
#s(literal 15/2 binary64)
(-.f64 #s(literal 15/2 binary64) z)
(-.f64 #s(literal 15/2 binary64) z)
(-.f64 #s(literal 15/2 binary64) z)
#s(literal 7 binary64)
(-.f64 #s(literal 7 binary64) z)
(-.f64 #s(literal 7 binary64) z)
(-.f64 #s(literal 7 binary64) z)
#s(literal 1/2 binary64)
(-.f64 #s(literal 1/2 binary64) z)
(-.f64 #s(literal 1/2 binary64) z)
(-.f64 #s(literal 1/2 binary64) z)
#s(literal 479507597606835099/10000000000000000 binary64)
(fma.f64 #s(literal 904338909853211/2500000000000 binary64) z #s(literal 479507597606835099/10000000000000000 binary64))
(fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))
(fma.f64 (fma.f64 (fma.f64 #s(literal 23912966683069397/40000000000000 binary64) z #s(literal 2076511864126339/4000000000000 binary64)) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))
(.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 #s(literal -15/2 binary64))) (sqrt.f64 (PI.f64)))
(.f64 (.f64 (exp.f64 #s(literal -15/2 binary64)) (fma.f64 (.f64 (+.f64 (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) z (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (sqrt.f64 (PI.f64)))
(.f64 (sqrt.f64 (PI.f64)) (fma.f64 (exp.f64 #s(literal -15/2 binary64)) (fma.f64 (.f64 (+.f64 (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) z (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 #s(literal -15/2 binary64))) (fma.f64 (sqrt.f64 #s(literal 15/2 binary64)) (fma.f64 (pow.f64 (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64) (+.f64 #s(literal 29/225 binary64) (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))))) (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) #s(literal 1/2 binary64)))) z) z)))
(fma.f64 (.f64 (exp.f64 #s(literal -15/2 binary64)) (fma.f64 (.f64 (+.f64 (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) z (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (sqrt.f64 (PI.f64)) (.f64 (.f64 z z) (.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 #s(literal -15/2 binary64))) (fma.f64 (sqrt.f64 #s(literal 15/2 binary64)) (fma.f64 (pow.f64 (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64) (+.f64 #s(literal 29/225 binary64) (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))))) (.f64 (sqrt.f64 #s(literal 15/2 binary64)) #s(literal 1/2 binary64))) (.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 #s(literal -15/2 binary64))) (fma.f64 (sqrt.f64 #s(literal 15/2 binary64)) (+.f64 (fma.f64 #s(literal -29/225 binary64) (log.f64 #s(literal 15/2 binary64)) #s(literal -1/10125 binary64)) (fma.f64 (pow.f64 (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 3 binary64)) #s(literal 1/6 binary64) (fma.f64 (pow.f64 (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 29/225 binary64)))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 15/2 binary64)))) (.f64 (.f64 (exp.f64 #s(literal -15/2 binary64)) #s(literal 1/2 binary64)) (.f64 (.f64 (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))) (sqrt.f64 #s(literal 15/2 binary64))) (sqrt.f64 #s(literal 2 binary64))))) z)) (sqrt.f64 (PI.f64)))))
(neg.f64 z)
(neg.f64 z)
(neg.f64 z)
(neg.f64 z)
(neg.f64 z)
(fma.f64 (/.f64 #s(literal 15/2 binary64) z) z (neg.f64 z))
(fma.f64 (/.f64 #s(literal 15/2 binary64) z) z (neg.f64 z))
(fma.f64 (/.f64 #s(literal 15/2 binary64) z) z (neg.f64 z))
(neg.f64 z)
(fma.f64 (/.f64 #s(literal 7 binary64) z) z (neg.f64 z))
(fma.f64 (/.f64 #s(literal 7 binary64) z) z (neg.f64 z))
(fma.f64 (/.f64 #s(literal 7 binary64) z) z (neg.f64 z))
(neg.f64 z)
(fma.f64 (/.f64 #s(literal 1/2 binary64) z) z (neg.f64 z))
(fma.f64 (/.f64 #s(literal 1/2 binary64) z) z (neg.f64 z))
(fma.f64 (/.f64 #s(literal 1/2 binary64) z) z (neg.f64 z))
#s(literal 9999999999998099/10000000000000000 binary64)
(+.f64 (/.f64 #s(literal 5826188486005177/10000000000000 binary64) z) #s(literal 9999999999998099/10000000000000000 binary64))
(-.f64 (+.f64 (/.f64 #s(literal 3683516130645841/2000000000000 binary64) (*.f64 z z)) #s(literal 9999999999998099/10000000000000000 binary64)) (/.f64 #s(literal -5826188486005177/10000000000000 binary64) z))
(+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 43600364987677261/10000000000000 binary64) (pow.f64 z #s(literal 3 binary64)))) (-.f64 (/.f64 #s(literal 3683516130645841/2000000000000 binary64) (*.f64 z z)) (/.f64 #s(literal -5826188486005177/10000000000000 binary64) z)))
(.f64 (.f64 (*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) (exp.f64 (-.f64 z #s(literal 15/2 binary64))))
(.f64 (.f64 (*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) (exp.f64 (-.f64 z #s(literal 15/2 binary64))))
(.f64 (.f64 (*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) (exp.f64 (-.f64 z #s(literal 15/2 binary64))))
(.f64 (.f64 (*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) (exp.f64 (-.f64 z #s(literal 15/2 binary64))))
(neg.f64 z)
(neg.f64 z)
(neg.f64 z)
(neg.f64 z)
(neg.f64 z)
(fma.f64 (/.f64 #s(literal 15/2 binary64) z) z (neg.f64 z))
(fma.f64 (/.f64 #s(literal 15/2 binary64) z) z (neg.f64 z))
(fma.f64 (/.f64 #s(literal 15/2 binary64) z) z (neg.f64 z))
(neg.f64 z)
(fma.f64 (/.f64 #s(literal 7 binary64) z) z (neg.f64 z))
(fma.f64 (/.f64 #s(literal 7 binary64) z) z (neg.f64 z))
(fma.f64 (/.f64 #s(literal 7 binary64) z) z (neg.f64 z))
(neg.f64 z)
(fma.f64 (/.f64 #s(literal 1/2 binary64) z) z (neg.f64 z))
(fma.f64 (/.f64 #s(literal 1/2 binary64) z) z (neg.f64 z))
(fma.f64 (/.f64 #s(literal 1/2 binary64) z) z (neg.f64 z))
#s(literal 9999999999998099/10000000000000000 binary64)
(+.f64 (/.f64 #s(literal 5826188486005177/10000000000000 binary64) z) #s(literal 9999999999998099/10000000000000000 binary64))
(-.f64 (+.f64 (/.f64 #s(literal 3683516130645841/2000000000000 binary64) (*.f64 z z)) #s(literal 9999999999998099/10000000000000000 binary64)) (/.f64 #s(literal -5826188486005177/10000000000000 binary64) z))
(-.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 (-.f64 #s(literal -5826188486005177/10000000000000 binary64) (/.f64 (+.f64 (/.f64 #s(literal 43600364987677261/10000000000000 binary64) z) #s(literal 3683516130645841/2000000000000 binary64)) z)) z))
(.f64 (.f64 (*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) (exp.f64 (-.f64 z #s(literal 15/2 binary64))))
(.f64 (.f64 (*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) (exp.f64 (-.f64 z #s(literal 15/2 binary64))))
(.f64 (.f64 (*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) (exp.f64 (-.f64 z #s(literal 15/2 binary64))))
(.f64 (.f64 (*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) (exp.f64 (-.f64 z #s(literal 15/2 binary64))))

rewrite198.0ms (0.8%)

Memory

-9.4MiB live, 344.2MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	87
0	46	71
1	236	62
2	2115	62
0	8507	62

Stop Event

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

Counts

7 → 363

Calls

Call 1

Inputs
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64))
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64))))
(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)))))
(sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))

Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
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eval356.0ms (1.5%)

Memory: 31.7MiB live, 881.6MiB allocated
Compiler: Compiled 174 370 to 8 458 computations (95.1% saved)

prune162.0ms (0.7%)

Memory

-29.2MiB live, 193.5MiB allocated

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	1 285	19	1 304
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	1 286	19	1 305

Accuracy

98.7%

Counts

1 305 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.4%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (/.f64 (.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))) (exp.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
	97.0%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (/.f64 (*.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))) (sqrt.f64 (PI.f64))) (exp.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 #s(literal 1/2 binary64)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
	97.0%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 z #s(literal 1 binary64)))) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
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	97.0%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (fma.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
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	96.7%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 #s(approx (+ (- (- 1 z) 1) 7) (fma.f64 (/.f64 #s(literal 7 binary64) z) z (neg.f64 z))) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
▶	97.7%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 (fma.f64 (log.f64 (.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 1/2 binary64) (fma.f64 (log.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64))) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
	97.0%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 #s(approx ( (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (.f64 (.f64 (*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) (exp.f64 (-.f64 z #s(literal 15/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
▶	95.1%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 #s(approx ( (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 #s(literal -15/2 binary64))) (sqrt.f64 (PI.f64)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
▶	95.9%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 #s(approx ( (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (.f64 (.f64 (exp.f64 #s(literal -15/2 binary64)) (fma.f64 (.f64 (+.f64 (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) z (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (sqrt.f64 (PI.f64)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))

Compiler

Compiled 4 868 to 2 580 computations (47% saved)

simplify225.0ms (0.9%)

Memory

34.7MiB live, 141.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	128	(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64))
cost-diff	192	(+.f64 (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 1 binary64))
cost-diff	256	(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
cost-diff	1600	(fma.f64 (.f64 (+.f64 (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) z (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
cost-diff	192	(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64))
cost-diff	256	(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
cost-diff	384	(/.f64 (.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (PI.f64) #s(literal 2 binary64)))) (exp.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64))))
cost-diff	384	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (/.f64 (.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))) (exp.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
cost-diff	128	(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64))
cost-diff	128	(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64))
cost-diff	192	(+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))
cost-diff	256	(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
cost-diff	128	(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64))
cost-diff	128	(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64))
cost-diff	128	(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64))
cost-diff	256	(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
cost-diff	192	(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64))
cost-diff	256	(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
cost-diff	384	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 (fma.f64 (log.f64 (.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 1/2 binary64) (fma.f64 (log.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64))) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
cost-diff	5824	(exp.f64 (fma.f64 (log.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 1/2 binary64) (fma.f64 (log.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64))) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64))))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	131	4488
0	224	3743
1	439	3559
2	1561	2823
0	8541	2817

Stop Event

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

Calls

Call 1

Inputs
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 (fma.f64 (log.f64 (.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 1/2 binary64) (fma.f64 (log.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64))) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
(PI.f64)
(sin.f64 (*.f64 (PI.f64) z))
(*.f64 (PI.f64) z)
z
(.f64 (exp.f64 (fma.f64 (log.f64 (.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 1/2 binary64) (fma.f64 (log.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64))) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64)))))
(exp.f64 (fma.f64 (log.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 1/2 binary64) (fma.f64 (log.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64))) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64))))))
(fma.f64 (log.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 1/2 binary64) (fma.f64 (log.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64))) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)))))
(log.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))
(*.f64 (PI.f64) #s(literal 2 binary64))
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(/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))
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(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) z)
(/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))
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(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64))
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(/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))
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(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64))
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(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64))
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(/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))
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(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64))
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(/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64)))
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(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))
#s(literal 8 binary64)

Outputs
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(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(PI.f64)
(sin.f64 (*.f64 z (PI.f64)))
(*.f64 z (PI.f64))
z
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#s(literal -13/2 binary64)
(-.f64 #s(literal 1/2 binary64) z)
#s(literal 1/2 binary64)
(sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))
(*.f64 #s(literal 2 binary64) (PI.f64))
#s(literal 2 binary64)
(exp.f64 (-.f64 #s(literal 15/2 binary64) z))
(+.f64 (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)))) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))))
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(+.f64 (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)))
(+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)))
(+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64))
#s(literal 9999999999998099/10000000000000000 binary64)
(/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))
#s(literal 6765203681218851/10000000000000 binary64)
(-.f64 #s(literal 1 binary64) z)
(neg.f64 z)
(/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))
#s(literal -3147848041806007/2500000000000 binary64)
(-.f64 #s(literal 2 binary64) z)
(/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))
#s(literal 7713234287776531/10000000000000 binary64)
(-.f64 #s(literal 3 binary64) z)
#s(literal 3 binary64)
(/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z))
#s(literal -883075145810703/5000000000000 binary64)
(-.f64 #s(literal 4 binary64) z)
#s(literal 4 binary64)
(/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z))
#s(literal 2501468655737381/200000000000000 binary64)
(-.f64 #s(literal 5 binary64) z)
#s(literal 5 binary64)
(/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z))
#s(literal -3464277381643003/25000000000000000 binary64)
(-.f64 #s(literal 6 binary64) z)
#s(literal 6 binary64)
(/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))
#s(literal 2496092394504893/250000000000000000000 binary64)
(-.f64 #s(literal 7 binary64) z)
#s(literal 7 binary64)
(/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z))
#s(literal 3764081837873279/25000000000000000000000 binary64)
(-.f64 #s(literal 8 binary64) z)
#s(literal 8 binary64)
(.f64 (.f64 #s(approx (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (.f64 (.f64 (.f64 (fma.f64 z (-.f64 #s(literal 14/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64)))) (exp.f64 #s(literal -15/2 binary64))) (sqrt.f64 (PI.f64)))) (+.f64 (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)))) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(PI.f64)
(sin.f64 (*.f64 z (PI.f64)))
(*.f64 z (PI.f64))
z
(.f64 #s(approx ( (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (.f64 (.f64 (.f64 (fma.f64 z (-.f64 #s(literal 14/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64)))) (exp.f64 #s(literal -15/2 binary64))) (sqrt.f64 (PI.f64)))) (+.f64 (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)))) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)))))
#s(approx (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (.f64 (.f64 (.f64 (fma.f64 z (-.f64 #s(literal 14/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64)))) (exp.f64 #s(literal -15/2 binary64))) (sqrt.f64 (PI.f64))))
(.f64 (.f64 (.f64 (fma.f64 z (-.f64 #s(literal 14/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64)))) (exp.f64 #s(literal -15/2 binary64))) (sqrt.f64 (PI.f64)))
(.f64 (.f64 (fma.f64 z (-.f64 #s(literal 14/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64)))) (exp.f64 #s(literal -15/2 binary64)))
(exp.f64 #s(literal -15/2 binary64))
#s(literal -15/2 binary64)
(.f64 (fma.f64 z (-.f64 #s(literal 14/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))))
(.f64 (-.f64 #s(literal 14/15 binary64) (log.f64 #s(literal 15/2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))))
(-.f64 #s(literal 14/15 binary64) (log.f64 #s(literal 15/2 binary64)))
(-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64)))
#s(literal -1/15 binary64)
(log.f64 #s(literal 15/2 binary64))
#s(literal 15/2 binary64)
#s(literal 1 binary64)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64)))
(sqrt.f64 #s(literal 15/2 binary64))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(sqrt.f64 (PI.f64))
(+.f64 (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)))) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))))
(+.f64 (+.f64 (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))))
(+.f64 (+.f64 (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))))
(+.f64 (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)))
(+.f64 (+.f64 (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)))
(+.f64 (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)))
(+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)))
(+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64))
#s(literal 9999999999998099/10000000000000000 binary64)
(/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))
#s(literal 6765203681218851/10000000000000 binary64)
(-.f64 #s(literal 1 binary64) z)
(neg.f64 z)
(-.f64 #s(literal 1 binary64) z)
(/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))
#s(literal -3147848041806007/2500000000000 binary64)
(-.f64 #s(literal 2 binary64) z)
(/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))
#s(literal 7713234287776531/10000000000000 binary64)
(-.f64 #s(literal 3 binary64) z)
#s(literal 3 binary64)
(/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z))
#s(literal -883075145810703/5000000000000 binary64)
(-.f64 #s(literal 4 binary64) z)
#s(literal 4 binary64)
(/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z))
#s(literal 2501468655737381/200000000000000 binary64)
(-.f64 #s(literal 5 binary64) z)
#s(literal 5 binary64)
(/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z))
#s(literal -3464277381643003/25000000000000000 binary64)
(-.f64 #s(literal 6 binary64) z)
#s(literal 6 binary64)
(/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))
#s(literal 2496092394504893/250000000000000000000 binary64)
(-.f64 #s(literal 7 binary64) z)
#s(literal 7 binary64)
(/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z))
#s(literal 3764081837873279/25000000000000000000000 binary64)
(-.f64 #s(literal 8 binary64) z)
#s(literal 8 binary64)

localize1.6s (6.5%)

Memory

17.4MiB live, 1 087.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	1.0	(sqrt.f64 (PI.f64))
accuracy	1.0290787422519199	#s(approx (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (.f64 (.f64 (exp.f64 #s(literal -15/2 binary64)) (fma.f64 (.f64 (+.f64 (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) z (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (sqrt.f64 (PI.f64))))
accuracy	2.76213902418616	(+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64))))
accuracy	58.39908663065375	(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
accuracy	1.0	(sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))
accuracy	1.16796875	(/.f64 (.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (PI.f64) #s(literal 2 binary64)))) (exp.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64))))
accuracy	2.76213902418616	(+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64))))
accuracy	58.39908663065375	(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
accuracy	1.0	(sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))
accuracy	1.0246850861965626	#s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64)))
accuracy	1.16796875	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)))))
accuracy	58.39908663065375	(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
accuracy	1.0	(sqrt.f64 (PI.f64))
accuracy	1.517076975963042	#s(approx (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 #s(literal -15/2 binary64))) (sqrt.f64 (PI.f64))))
accuracy	2.76213902418616	(+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64))))
accuracy	58.39908663065375	(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
accuracy	1.0	(log.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))
accuracy	1.9579250730097495	(exp.f64 (fma.f64 (log.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 1/2 binary64) (fma.f64 (log.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64))) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64))))))
accuracy	2.76213902418616	(+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64))))
accuracy	58.39908663065375	(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))

Samples

755.0ms	155×	1	valid
316.0ms	79×	2	valid
58.0ms	22×	0	valid

Compiler

Compiled 8 807 to 244 computations (97.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 858.0ms

const: 230.0ms (26.8% of total)

ival-add: 163.0ms (19% of total)

ival-div: 145.0ms (16.9% of total)

ival-mult: 78.0ms (9.1% of total)

adjust: 60.0ms (7% of total)

ival-neg: 56.0ms (6.5% of total)

ival-log: 38.0ms (4.4% of total)

ival-sub: 24.0ms (2.8% of total)

ival-pow: 22.0ms (2.6% of total)

ival-exp: 21.0ms (2.4% of total)

ival-sqrt: 12.0ms (1.4% of total)

ival-sinu: 4.0ms (0.5% of total)

ival-pi: 3.0ms (0.3% of total)

exact: 2.0ms (0.2% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series80.0ms (0.3%)

Memory

-5.6MiB live, 110.6MiB allocated

Counts

22 → 216

Calls

Call 1

Inputs
#s(alt #<batchref> (patch (exp.f64 (fma.f64 (log.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 1/2 binary64) (fma.f64 (log.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64))) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)))))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 (fma.f64 (log.f64 (.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 1/2 binary64) (fma.f64 (log.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64))) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64)))))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (/.f64 (.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))) (exp.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64)))))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (PI.f64) #s(literal 2 binary64)))) (exp.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (.f64 (+.f64 (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) z (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (log.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 #s(literal -15/2 binary64))) (sqrt.f64 (PI.f64)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (sqrt.f64 (PI.f64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (.f64 (.f64 (exp.f64 #s(literal -15/2 binary64)) (fma.f64 (.f64 (+.f64 (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) z (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (sqrt.f64 (PI.f64)))) #<representation binary64>) () ())

Outputs
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (exp.f64 (fma.f64 (log.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 1/2 binary64) (fma.f64 (log.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64))) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (exp.f64 (fma.f64 (log.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 1/2 binary64) (fma.f64 (log.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64))) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (exp.f64 (fma.f64 (log.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 1/2 binary64) (fma.f64 (log.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64))) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (exp.f64 (fma.f64 (log.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 1/2 binary64) (fma.f64 (log.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64))) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)))))) #<representation binary64>) () ())) ())
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Calls

3 calls:

Time	Variable		Point	Expression
34.0ms	z	@	0	((exp (+ (* (log (* (PI) 2)) 1/2) (+ (* (log (- (- 1 z) -13/2)) (- (- 1 z) 1/2)) (neg (- (- 1 z) -13/2))))) (* (/ (PI) (sin (* (PI) z))) (* (exp (+ (* (log (* (PI) 2)) 1/2) (+ (* (log (- (- 1 z) -13/2)) (- (- 1 z) 1/2)) (neg (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (- (- 1 z) 1) (- (- 1 z) -13/2) (+ (- (- 1 z) 1) 1) (+ (- (- 1 z) 1) 2) (+ (- (- 1 z) 1) 3) (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 7) (+ (- (- 1 z) 1) 1/2) (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (* (* (+ (- -1/15 (log 15/2)) 1) (* (sqrt 15/2) (sqrt 2))) z) (* (sqrt 15/2) (sqrt 2))) (+ (- -1/15 (log 15/2)) 1) (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (log (* (PI) 2)) (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (sqrt (PI)) (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (sqrt (* (PI) 2)) (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))))
13.0ms	z	@	-inf	((exp (+ (* (log (* (PI) 2)) 1/2) (+ (* (log (- (- 1 z) -13/2)) (- (- 1 z) 1/2)) (neg (- (- 1 z) -13/2))))) (* (/ (PI) (sin (* (PI) z))) (* (exp (+ (* (log (* (PI) 2)) 1/2) (+ (* (log (- (- 1 z) -13/2)) (- (- 1 z) 1/2)) (neg (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (- (- 1 z) 1) (- (- 1 z) -13/2) (+ (- (- 1 z) 1) 1) (+ (- (- 1 z) 1) 2) (+ (- (- 1 z) 1) 3) (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 7) (+ (- (- 1 z) 1) 1/2) (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (* (* (+ (- -1/15 (log 15/2)) 1) (* (sqrt 15/2) (sqrt 2))) z) (* (sqrt 15/2) (sqrt 2))) (+ (- -1/15 (log 15/2)) 1) (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (log (* (PI) 2)) (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (sqrt (PI)) (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (sqrt (* (PI) 2)) (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))))
12.0ms	z	@	inf	((exp (+ (* (log (* (PI) 2)) 1/2) (+ (* (log (- (- 1 z) -13/2)) (- (- 1 z) 1/2)) (neg (- (- 1 z) -13/2))))) (* (/ (PI) (sin (* (PI) z))) (* (exp (+ (* (log (* (PI) 2)) 1/2) (+ (* (log (- (- 1 z) -13/2)) (- (- 1 z) 1/2)) (neg (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (- (- 1 z) 1) (- (- 1 z) -13/2) (+ (- (- 1 z) 1) 1) (+ (- (- 1 z) 1) 2) (+ (- (- 1 z) 1) 3) (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 7) (+ (- (- 1 z) 1) 1/2) (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (* (* (+ (- -1/15 (log 15/2)) 1) (* (sqrt 15/2) (sqrt 2))) z) (* (sqrt 15/2) (sqrt 2))) (+ (- -1/15 (log 15/2)) 1) (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (log (* (PI) 2)) (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (sqrt (PI)) (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (sqrt (* (PI) 2)) (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))))

Time

Variable

Point

Expression

34.0ms

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

13.0ms

-inf

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

12.0ms

inf

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

simplify169.0ms (0.7%)

Memory

12.0MiB live, 204.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	480	5414
1	1609	5187
2	5753	5072
0	8049	4838

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

Calls

Call 1

Inputs
(exp (- (+ (* 1/2 (log 15/2)) (* 1/2 (log (* 2 (PI))))) 15/2))
(+ (exp (- (+ (* 1/2 (log 15/2)) (* 1/2 (log (* 2 (PI))))) 15/2)) (* z (* (exp (- (+ (* 1/2 (log 15/2)) (* 1/2 (log (* 2 (PI))))) 15/2)) (+ 14/15 (* -1 (log 15/2))))))
(+ (exp (- (+ (* 1/2 (log 15/2)) (* 1/2 (log (* 2 (PI))))) 15/2)) (* z (+ (* z (* (exp (- (+ (* 1/2 (log 15/2)) (* 1/2 (log (* 2 (PI))))) 15/2)) (+ 29/225 (* 1/2 (pow (+ 14/15 (* -1 (log 15/2))) 2))))) (* (exp (- (+ (* 1/2 (log 15/2)) (* 1/2 (log (* 2 (PI))))) 15/2)) (+ 14/15 (* -1 (log 15/2)))))))
(+ (exp (- (+ (* 1/2 (log 15/2)) (* 1/2 (log (* 2 (PI))))) 15/2)) (* z (+ (* z (+ (* z (* (exp (- (+ (* 1/2 (log 15/2)) (* 1/2 (log (* 2 (PI))))) 15/2)) (+ 86/10125 (+ (* 29/225 (+ 14/15 (* -1 (log 15/2)))) (* 1/6 (pow (+ 14/15 (* -1 (log 15/2))) 3)))))) (* (exp (- (+ (* 1/2 (log 15/2)) (* 1/2 (log (* 2 (PI))))) 15/2)) (+ 29/225 (* 1/2 (pow (+ 14/15 (* -1 (log 15/2))) 2)))))) (* (exp (- (+ (* 1/2 (log 15/2)) (* 1/2 (log (* 2 (PI))))) 15/2)) (+ 14/15 (* -1 (log 15/2)))))))
(* 1106209385320415913103082059/4200000000000000000000000 (/ (exp (- (+ (* 1/2 (log 15/2)) (* 1/2 (log (* 2 (PI))))) 15/2)) z))
(/ (+ (* 1106209385320415913103082059/4200000000000000000000000 (exp (- (+ (* 1/2 (log 15/2)) (* 1/2 (log (* 2 (PI))))) 15/2))) (* z (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (exp (- (+ (* 1/2 (log 15/2)) (* 1/2 (log (* 2 (PI))))) 15/2)) (+ 14/15 (* -1 (log 15/2))))) (* 102757979785251069442117317613/235200000000000000000000000 (exp (- (+ (* 1/2 (log 15/2)) (* 1/2 (log (* 2 (PI))))) 15/2)))))) z)
(/ (+ (* 1106209385320415913103082059/4200000000000000000000000 (exp (- (+ (* 1/2 (log 15/2)) (* 1/2 (log (* 2 (PI))))) 15/2))) (* z (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (exp (- (+ (* 1/2 (log 15/2)) (* 1/2 (log (* 2 (PI))))) 15/2)) (+ 14/15 (* -1 (log 15/2))))) (+ (* 102757979785251069442117317613/235200000000000000000000000 (exp (- (+ (* 1/2 (log 15/2)) (* 1/2 (log (* 2 (PI))))) 15/2))) (* z (- (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (exp (- (+ (* 1/2 (log 15/2)) (* 1/2 (log (* 2 (PI))))) 15/2)) (+ 29/225 (* 1/2 (pow (+ 14/15 (* -1 (log 15/2))) 2))))) (+ (* 102757979785251069442117317613/235200000000000000000000000 (* (exp (- (+ (* 1/2 (log 15/2)) (* 1/2 (log (* 2 (PI))))) 15/2)) (+ 14/15 (* -1 (log 15/2))))) (* 64608921419941589693928044520019/118540800000000000000000000000 (exp (- (+ (* 1/2 (log 15/2)) (* 1/2 (log (* 2 (PI))))) 15/2))))) (* -1106209385320415913103082059/25200000000000000000000000 (* (pow (PI) 2) (exp (- (+ (* 1/2 (log 15/2)) (* 1/2 (log (* 2 (PI))))) 15/2)))))))))) z)
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Outputs
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(.f64 (.f64 (*.f64 (exp.f64 (-.f64 z #s(literal 15/2 binary64))) (sqrt.f64 (PI.f64))) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))
(.f64 (.f64 (*.f64 (exp.f64 (-.f64 z #s(literal 15/2 binary64))) (sqrt.f64 (PI.f64))) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))

rewrite248.0ms (1%)

Memory

-5.9MiB live, 348.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	119	553
0	198	467
1	824	431
0	8247	424

Stop Event

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

Counts

22 → 646

Calls

Call 1

Inputs
(exp.f64 (fma.f64 (log.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 1/2 binary64) (fma.f64 (log.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64))) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 (fma.f64 (log.f64 (.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 1/2 binary64) (fma.f64 (log.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64))) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64))
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64))
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64))
(+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64))
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64))
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(/.f64 (.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (PI.f64) #s(literal 2 binary64)))) (exp.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64))))
(fma.f64 (.f64 (+.f64 (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) z (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 1 binary64))
(+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64))))
(log.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))
#s(approx (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 #s(literal -15/2 binary64))) (sqrt.f64 (PI.f64))))
(sqrt.f64 (PI.f64))
(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)))))
#s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64)))
(sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))
#s(approx (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (.f64 (.f64 (exp.f64 #s(literal -15/2 binary64)) (fma.f64 (.f64 (+.f64 (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) z (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (sqrt.f64 (PI.f64))))

Outputs
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eval1.2s (4.9%)

Memory: -100.6MiB live, 2 139.0MiB allocated
Compiler: Compiled 520 414 to 13 788 computations (97.4% saved)

prune176.0ms (0.7%)

Memory

-16.8MiB live, 535.9MiB allocated

Pruning

27 alts after pruning (27 fresh and 0 done)

	Pruned	Kept	Total
New	3 838	25	3 863
Fresh	12	2	14
Picked	5	0	5
Done	0	0	0
Total	3 855	27	3 882

Accuracy

100.0%

Counts

3 882 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.9%	(fma.f64 (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -5 binary64))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -4 binary64))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) (+.f64 (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) #s(literal 9999999999998099/10000000000000000 binary64)) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))))))) (.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64)))) (exp.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (log1p.f64 (-.f64 (neg.f64 z) #s(literal -13/2 binary64))) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z))))) (.f64 (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -7 binary64))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64)))) (.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))) (exp.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (log1p.f64 (-.f64 (neg.f64 z) #s(literal -13/2 binary64))) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z)))))))
	94.6%	(/.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (.f64 (.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)))) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -7 binary64))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -5 binary64))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -4 binary64))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) (+.f64 (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) #s(literal 9999999999998099/10000000000000000 binary64)) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))))))))))) (exp.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64))))
	96.7%	(/.f64 (.f64 (.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)))) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -7 binary64))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -5 binary64))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -4 binary64))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) (+.f64 (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) #s(literal 9999999999998099/10000000000000000 binary64)) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)))))))))) (PI.f64)) (.f64 (exp.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64))) (sin.f64 (.f64 z (PI.f64)))))
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▶	98.5%	(.f64 (PI.f64) (/.f64 (.f64 (.f64 (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -7 binary64))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -5 binary64))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -4 binary64))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) (+.f64 (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) #s(literal 9999999999998099/10000000000000000 binary64)) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))))))))) (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64)))) (exp.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (log1p.f64 (-.f64 (neg.f64 z) #s(literal -13/2 binary64))) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z))))) (sin.f64 (*.f64 z (PI.f64)))))
	97.9%	#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (/.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 15/2 binary64)) (exp.f64 #s(literal 15/2 binary64))) (.f64 (.f64 (sqrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (fma.f64 (pow.f64 (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 29/225 binary64))) (sqrt.f64 #s(literal 15/2 binary64)) (fma.f64 (.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64)))) (sqrt.f64 #s(literal 15/2 binary64)) (.f64 (sqrt.f64 #s(literal 15/2 binary64)) #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64)))) (PI.f64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 #s(literal 15/2 binary64))) (fma.f64 (.f64 (/.f64 (.f64 (.f64 (exp.f64 #s(literal 15/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal -1/6 binary64)))) (sqrt.f64 #s(literal 15/2 binary64))) (.f64 (PI.f64) (PI.f64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 #s(literal 15 binary64)))) #s(literal -1106209385320415913103082059/4200000000000000000000000 binary64) (fma.f64 (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))) (/.f64 (sqrt.f64 #s(literal 15/2 binary64)) (exp.f64 #s(literal 15/2 binary64))) (/.f64 (.f64 (fma.f64 (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64)))) (sqrt.f64 #s(literal 15/2 binary64)) (.f64 (sqrt.f64 #s(literal 15/2 binary64)) #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64))) (sqrt.f64 #s(literal 2 binary64))) (.f64 (exp.f64 #s(literal 15/2 binary64)) (PI.f64)))))) z (fma.f64 (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))) (/.f64 (sqrt.f64 #s(literal 15/2 binary64)) (exp.f64 #s(literal 15/2 binary64))) (/.f64 (.f64 (fma.f64 (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64)))) (sqrt.f64 #s(literal 15/2 binary64)) (.f64 (sqrt.f64 #s(literal 15/2 binary64)) #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64))) (sqrt.f64 #s(literal 2 binary64))) (.f64 (exp.f64 #s(literal 15/2 binary64)) (PI.f64)))))) z)) z))
	14.0%	#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (.f64 (.f64 (sqrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 9999999999998099/10000000000000000 binary64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (sin.f64 (.f64 (PI.f64) z)))))
▶	96.6%	#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (exp.f64 #s(literal 15/2 binary64)) z))))
	94.8%	#s(approx (* (/ (PI) (sin (* (PI) z))) (* (exp (+ (* (log (* (PI) 2)) 1/2) (+ (* (log (- (- 1 z) -13/2)) (- (- 1 z) 1/2)) (neg (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (/.f64 (exp.f64 (fma.f64 (+.f64 (log.f64 (.f64 #s(literal 2 binary64) (PI.f64))) (log.f64 #s(literal 15/2 binary64))) #s(literal 1/2 binary64) #s(literal -15/2 binary64))) z) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))
▶	14.0%	#s(approx (* (/ (PI) (sin (* (PI) z))) (* (exp (+ (* (log (* (PI) 2)) 1/2) (+ (* (log (- (- 1 z) -13/2)) (- (- 1 z) 1/2)) (neg (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (.f64 #s(literal 9999999999998099/10000000000000000 binary64) (PI.f64)) (/.f64 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (.f64 (exp.f64 (-.f64 #s(literal 15/2 binary64) z)) (sin.f64 (.f64 (PI.f64) z))))))

Compiler

Compiled 7 060 to 3 988 computations (43.5% saved)

simplify148.0ms (0.6%)

Memory

14.6MiB live, 250.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	128	(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64))
cost-diff	128	(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64))
cost-diff	128	(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64))
cost-diff	256	(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
cost-diff	192	(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -5 binary64))
cost-diff	192	(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))
cost-diff	192	(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -7 binary64))
cost-diff	384	(.f64 (PI.f64) (/.f64 (.f64 (.f64 (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -7 binary64))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -5 binary64))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -4 binary64))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) (+.f64 (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) #s(literal 9999999999998099/10000000000000000 binary64)) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))))))))) (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64)))) (exp.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (log1p.f64 (-.f64 (neg.f64 z) #s(literal -13/2 binary64))) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z))))) (sin.f64 (*.f64 z (PI.f64)))))
cost-diff	0	(*.f64 #s(literal 9999999999998099/10000000000000000 binary64) (PI.f64))
cost-diff	0	(.f64 (.f64 #s(literal 9999999999998099/10000000000000000 binary64) (PI.f64)) (/.f64 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (.f64 (exp.f64 (-.f64 #s(literal 15/2 binary64) z)) (sin.f64 (.f64 (PI.f64) z)))))
cost-diff	0	#s(approx (* (/ (PI) (sin (* (PI) z))) (* (exp (+ (* (log (* (PI) 2)) 1/2) (+ (* (log (- (- 1 z) -13/2)) (- (- 1 z) 1/2)) (neg (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (.f64 #s(literal 9999999999998099/10000000000000000 binary64) (PI.f64)) (/.f64 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (.f64 (exp.f64 (-.f64 #s(literal 15/2 binary64) z)) (sin.f64 (.f64 (PI.f64) z))))))
cost-diff	5824	(pow.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64))
cost-diff	0	(sqrt.f64 (PI.f64))
cost-diff	0	(*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))
cost-diff	0	(.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (exp.f64 #s(literal 15/2 binary64)) z)))
cost-diff	0	#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (exp.f64 #s(literal 15/2 binary64)) z))))
cost-diff	192	(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64))
cost-diff	192	(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -4 binary64))
cost-diff	192	(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -5 binary64))
cost-diff	23360	(fma.f64 (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -5 binary64))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -4 binary64))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) (+.f64 (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) #s(literal 9999999999998099/10000000000000000 binary64)) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))))))) (.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64)))) (exp.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (log1p.f64 (-.f64 (neg.f64 z) #s(literal -13/2 binary64))) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z))))) (.f64 (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -7 binary64))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64)))) (.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))) (exp.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (log1p.f64 (-.f64 (neg.f64 z) #s(literal -13/2 binary64))) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z)))))))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	183	2712
0	301	2467
1	601	2423
2	1880	2019
0	8199	2019

Stop Event

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

Calls

Call 1

Inputs
(fma.f64 (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -5 binary64))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -4 binary64))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) (+.f64 (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) #s(literal 9999999999998099/10000000000000000 binary64)) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))))))) (.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64)))) (exp.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (log1p.f64 (-.f64 (neg.f64 z) #s(literal -13/2 binary64))) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z))))) (.f64 (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -7 binary64))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64)))) (.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))) (exp.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (log1p.f64 (-.f64 (neg.f64 z) #s(literal -13/2 binary64))) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z)))))))
(+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -5 binary64))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -4 binary64))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) (+.f64 (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) #s(literal 9999999999998099/10000000000000000 binary64)) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)))))))
(/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -5 binary64)))
#s(literal -3464277381643003/25000000000000000 binary64)
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -5 binary64))
(-.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
#s(literal -5 binary64)
(+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -4 binary64))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) (+.f64 (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) #s(literal 9999999999998099/10000000000000000 binary64)) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))))))
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Outputs
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(sin.f64 (*.f64 (PI.f64) z))
(*.f64 (PI.f64) z)
(.f64 (.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64))))) #s(approx (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (sqrt.f64 (PI.f64))) (exp.f64 (-.f64 z #s(literal 15/2 binary64)))))) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))))
(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
(PI.f64)
(sin.f64 (*.f64 (PI.f64) z))
(*.f64 (PI.f64) z)
z
(.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64))))) #s(approx (/ ( (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (sqrt.f64 (PI.f64))) (exp.f64 (-.f64 z #s(literal 15/2 binary64))))))
#s(approx (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (sqrt.f64 (PI.f64))) (exp.f64 (-.f64 z #s(literal 15/2 binary64)))))
(.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (sqrt.f64 (PI.f64))) (exp.f64 (-.f64 z #s(literal 15/2 binary64))))
(.f64 (.f64 (exp.f64 (-.f64 z #s(literal 15/2 binary64))) (sqrt.f64 (PI.f64))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (exp.f64 (-.f64 z #s(literal 15/2 binary64))) (sqrt.f64 (PI.f64)))
(exp.f64 (-.f64 z #s(literal 15/2 binary64)))
(-.f64 z #s(literal 15/2 binary64))
#s(literal 15/2 binary64)
(sqrt.f64 (PI.f64))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))
(-.f64 #s(literal 15/2 binary64) z)
(-.f64 #s(literal 1/2 binary64) z)
#s(literal 1/2 binary64)
(+.f64 (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)))))
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64))) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))))
(+.f64 (+.f64 (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64))))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)))
(+.f64 (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)))
(+.f64 (+.f64 (+.f64 (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))) #s(literal 9999999999998099/10000000000000000 binary64))
(+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64))))
(+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)))
(+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64))
#s(literal 9999999999998099/10000000000000000 binary64)
(/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))
#s(literal 6765203681218851/10000000000000 binary64)
(-.f64 #s(literal 1 binary64) z)
(neg.f64 z)
(-.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
(/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))
#s(literal -3147848041806007/2500000000000 binary64)
(-.f64 #s(literal 2 binary64) z)
(/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))
#s(literal 7713234287776531/10000000000000 binary64)
(-.f64 #s(literal 3 binary64) z)
#s(literal 3 binary64)
(/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z))
#s(literal -883075145810703/5000000000000 binary64)
(-.f64 #s(literal 4 binary64) z)
#s(literal 4 binary64)
(/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z))
#s(literal 2501468655737381/200000000000000 binary64)
(-.f64 #s(literal 5 binary64) z)
#s(literal 5 binary64)
(/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z))
#s(literal -3464277381643003/25000000000000000 binary64)
(-.f64 #s(literal 6 binary64) z)
#s(literal 6 binary64)
(/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))
#s(literal 2496092394504893/250000000000000000000 binary64)
(-.f64 #s(literal 7 binary64) z)
#s(literal 7 binary64)
(/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z))
#s(literal 3764081837873279/25000000000000000000000 binary64)
(-.f64 #s(literal 8 binary64) z)
#s(literal 8 binary64)

localize1.0s (4.2%)

Memory

30.3MiB live, 1 772.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.97265625	(.f64 #s(approx (/ ( (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (.f64 (.f64 (*.f64 (exp.f64 (-.f64 z #s(literal 15/2 binary64))) (sqrt.f64 (PI.f64))) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64)))))
accuracy	1.0	(sqrt.f64 (PI.f64))
accuracy	2.76213902418616	(+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64))))
accuracy	58.39908663065375	(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
accuracy	0.984375	(.f64 (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -7 binary64))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -5 binary64))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -4 binary64))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) (+.f64 (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) #s(literal 9999999999998099/10000000000000000 binary64)) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))))))))) (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))))
accuracy	1.0	(sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))
accuracy	1.5621124030367302	(exp.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (log1p.f64 (-.f64 (neg.f64 z) #s(literal -13/2 binary64))) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z))))
accuracy	2.7598700929664375	(+.f64 (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) #s(literal 9999999999998099/10000000000000000 binary64)) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)))
accuracy	0.4310150390737681	(.f64 (.f64 #s(literal 9999999999998099/10000000000000000 binary64) (PI.f64)) (/.f64 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (.f64 (exp.f64 (-.f64 #s(literal 15/2 binary64) z)) (sin.f64 (.f64 (PI.f64) z)))))
accuracy	0.46484375	(/.f64 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (.f64 (exp.f64 (-.f64 #s(literal 15/2 binary64) z)) (sin.f64 (.f64 (PI.f64) z))))
accuracy	1.0	(pow.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64))
accuracy	54.78295866797272	#s(approx (* (/ (PI) (sin (* (PI) z))) (* (exp (+ (* (log (* (PI) 2)) 1/2) (+ (* (log (- (- 1 z) -13/2)) (- (- 1 z) 1/2)) (neg (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (.f64 #s(literal 9999999999998099/10000000000000000 binary64) (PI.f64)) (/.f64 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (.f64 (exp.f64 (-.f64 #s(literal 15/2 binary64) z)) (sin.f64 (.f64 (PI.f64) z))))))
accuracy	0.33431625976844204	(.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (exp.f64 #s(literal 15/2 binary64)) z)))
accuracy	0.36166000976844204	(/.f64 (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (exp.f64 #s(literal 15/2 binary64)) z))
accuracy	1.0	(sqrt.f64 (PI.f64))
accuracy	1.5031645048908389	#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (exp.f64 #s(literal 15/2 binary64)) z))))
accuracy	0.96484375	(+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) (+.f64 (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) #s(literal 9999999999998099/10000000000000000 binary64)) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)))))
accuracy	1.0	(sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))
accuracy	1.5621124030367302	(exp.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (log1p.f64 (-.f64 (neg.f64 z) #s(literal -13/2 binary64))) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z))))
accuracy	2.7598700929664375	(+.f64 (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) #s(literal 9999999999998099/10000000000000000 binary64)) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)))

Samples

446.0ms	156×	1	valid
277.0ms	76×	2	valid
26.0ms	24×	0	valid

Compiler

Compiled 5 363 to 350 computations (93.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 588.0ms

ival-mult: 121.0ms (20.6% of total)

adjust: 91.0ms (15.5% of total)

ival-div: 84.0ms (14.3% of total)

ival-add: 81.0ms (13.8% of total)

ival-sub: 51.0ms (8.7% of total)

const: 51.0ms (8.7% of total)

ival-exp: 35.0ms (6% of total)

ival-pow: 20.0ms (3.4% of total)

ival-sqrt: 17.0ms (2.9% of total)

ival-log: 13.0ms (2.2% of total)

ival-log1p: 7.0ms (1.2% of total)

ival-neg: 7.0ms (1.2% of total)

ival-sinu: 6.0ms (1% of total)

ival-pi: 2.0ms (0.3% of total)

exact: 2.0ms (0.3% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series80.0ms (0.3%)

Memory

-26.4MiB live, 131.5MiB allocated

Counts

28 → 276

Calls

Call 1

Inputs
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#s(alt #<batchref> (patch (/.f64 (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (exp.f64 #s(literal 15/2 binary64)) z)) #<representation binary64>) () ())
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#s(alt #<batchref> (patch (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) #<representation binary64>) () ())
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Outputs
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Calls

3 calls:

Time

Variable

Point

Expression

20.0ms

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16.0ms

inf

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11.0ms

-inf

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simplify220.0ms (0.9%)

Memory

20.0MiB live, 290.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	876	9368
1	2938	8937
0	8724	8551

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 276

Calls

Call 1

Inputs
(/ (+ (* 2023222488469027353/1400000000000000000000000 (* (sqrt (PI)) (* (exp (- (* 1/2 (log 15/2)) 15/2)) (sqrt 2)))) (* 9876869457595968283/37500000000000000 (* (sqrt (PI)) (* (exp (- (* 1/2 (log 15/2)) 15/2)) (sqrt 2))))) z)
(/ (+ (* 2023222488469027353/1400000000000000000000000 (* (sqrt (PI)) (* (exp (- (* 1/2 (log 15/2)) 15/2)) (sqrt 2)))) (+ (* 9876869457595968283/37500000000000000 (* (sqrt (PI)) (* (exp (- (* 1/2 (log 15/2)) 15/2)) (sqrt 2)))) (* z (+ (* (sqrt (pow (PI) 3)) (+ (* 16159431334887105871/78400000000000000000000000 (/ (* (exp (- (* 1/2 (log 15/2)) 15/2)) (sqrt 2)) (PI))) (* 2023222488469027353/1400000000000000000000000 (/ (* (exp (- (* 1/2 (log 15/2)) 15/2)) (* (sqrt 2) (+ 14/15 (* -1 (log 15/2))))) (PI))))) (* (sqrt (pow (PI) 3)) (+ (* 9876869457595968283/37500000000000000 (/ (* (exp (- (* 1/2 (log 15/2)) 15/2)) (* (sqrt 2) (+ 14/15 (* -1 (log 15/2))))) (PI))) (* 131068851705067315609/300000000000000000 (/ (* (exp (- (* 1/2 (log 15/2)) 15/2)) (sqrt 2)) (PI))))))))) z)
(/ (+ (* 2023222488469027353/1400000000000000000000000 (* (sqrt (PI)) (* (exp (- (* 1/2 (log 15/2)) 15/2)) (sqrt 2)))) (+ (* 9876869457595968283/37500000000000000 (* (sqrt (PI)) (* (exp (- (* 1/2 (log 15/2)) 15/2)) (sqrt 2)))) (* z (+ (* z (+ (* (sqrt (pow (PI) 3)) (- (+ (* 129091010669041056297/4390400000000000000000000000 (/ (* (exp (- (* 1/2 (log 15/2)) 15/2)) (sqrt 2)) (PI))) (+ (* 16159431334887105871/78400000000000000000000000 (/ (* (exp (- (* 1/2 (log 15/2)) 15/2)) (* (sqrt 2) (+ 14/15 (* -1 (log 15/2))))) (PI))) (* 2023222488469027353/1400000000000000000000000 (/ (* (exp (- (* 1/2 (log 15/2)) 15/2)) (* (sqrt 2) (+ 29/225 (* 1/2 (pow (+ 14/15 (* -1 (log 15/2))) 2))))) (PI))))) (* -674407496156342451/2800000000000000000000000 (* (PI) (* (exp (- (* 1/2 (log 15/2)) 15/2)) (sqrt 2)))))) (* (sqrt (pow (PI) 3)) (- (+ (* 9876869457595968283/37500000000000000 (/ (* (exp (- (* 1/2 (log 15/2)) 15/2)) (* (sqrt 2) (+ 29/225 (* 1/2 (pow (+ 14/15 (* -1 (log 15/2))) 2))))) (PI))) (+ (* 131068851705067315609/300000000000000000 (/ (* (exp (- (* 1/2 (log 15/2)) 15/2)) (* (sqrt 2) (+ 14/15 (* -1 (log 15/2))))) (PI))) (* 367898832774098786021/675000000000000000 (/ (* (exp (- (* 1/2 (log 15/2)) 15/2)) (sqrt 2)) (PI))))) (* -9876869457595968283/225000000000000000 (* (PI) (* (exp (- (* 1/2 (log 15/2)) 15/2)) (sqrt 2)))))))) (+ (* (sqrt (pow (PI) 3)) (+ (* 16159431334887105871/78400000000000000000000000 (/ (* (exp (- (* 1/2 (log 15/2)) 15/2)) (sqrt 2)) (PI))) (* 2023222488469027353/1400000000000000000000000 (/ (* (exp (- (* 1/2 (log 15/2)) 15/2)) (* (sqrt 2) (+ 14/15 (* -1 (log 15/2))))) (PI))))) (* (sqrt (pow (PI) 3)) (+ (* 9876869457595968283/37500000000000000 (/ (* (exp (- (* 1/2 (log 15/2)) 15/2)) (* (sqrt 2) (+ 14/15 (* -1 (log 15/2))))) (PI))) (* 131068851705067315609/300000000000000000 (/ (* (exp (- (* 1/2 (log 15/2)) 15/2)) (sqrt 2)) (PI)))))))))) z)
(/ (+ (* 2023222488469027353/1400000000000000000000000 (* (sqrt (PI)) (* (exp (- (* 1/2 (log 15/2)) 15/2)) (sqrt 2)))) (+ (* 9876869457595968283/37500000000000000 (* (sqrt (PI)) (* (exp (- (* 1/2 (log 15/2)) 15/2)) (sqrt 2)))) (* z (+ (* z (+ (* z (+ (* (sqrt (pow (PI) 3)) (- (+ (* 1031437005281937915679/245862400000000000000000000000 (/ (* (exp (- (* 1/2 (log 15/2)) 15/2)) (sqrt 2)) (PI))) (+ (* 129091010669041056297/4390400000000000000000000000 (/ (* (exp (- (* 1/2 (log 15/2)) 15/2)) (* (sqrt 2) (+ 14/15 (* -1 (log 15/2))))) (PI))) (+ (* 16159431334887105871/78400000000000000000000000 (/ (* (exp (- (* 1/2 (log 15/2)) 15/2)) (* (sqrt 2) (+ 29/225 (* 1/2 (pow (+ 14/15 (* -1 (log 15/2))) 2))))) (PI))) (* 2023222488469027353/1400000000000000000000000 (/ (* (exp (- (* 1/2 (log 15/2)) 15/2)) (* (sqrt 2) (+ 86/10125 (+ (* 29/225 (+ 14/15 (* -1 (log 15/2)))) (* 1/6 (pow (+ 14/15 (* -1 (log 15/2))) 3)))))) (PI)))))) (* -1/6 (* (pow (PI) 2) (+ (* 16159431334887105871/78400000000000000000000000 (/ (* (exp (- (* 1/2 (log 15/2)) 15/2)) (sqrt 2)) (PI))) (* 2023222488469027353/1400000000000000000000000 (/ (* (exp (- (* 1/2 (log 15/2)) 15/2)) (* (sqrt 2) (+ 14/15 (* -1 (log 15/2))))) (PI)))))))) (* (sqrt (pow (PI) 3)) (- (+ (* 9876869457595968283/37500000000000000 (/ (* (exp (- (* 1/2 (log 15/2)) 15/2)) (* (sqrt 2) (+ 86/10125 (+ (* 29/225 (+ 14/15 (* -1 (log 15/2)))) (* 1/6 (pow (+ 14/15 (* -1 (log 15/2))) 3)))))) (PI))) (+ (* 131068851705067315609/300000000000000000 (/ (* (exp (- (* 1/2 (log 15/2)) 15/2)) (* (sqrt 2) (+ 29/225 (* 1/2 (pow (+ 14/15 (* -1 (log 15/2))) 2))))) (PI))) (+ (* 367898832774098786021/675000000000000000 (/ (* (exp (- (* 1/2 (log 15/2)) 15/2)) (* (sqrt 2) (+ 14/15 (* -1 (log 15/2))))) (PI))) (* 65521081538557082921549/108000000000000000000 (/ (* (exp (- (* 1/2 (log 15/2)) 15/2)) (sqrt 2)) (PI)))))) (* -1/6 (* (pow (PI) 2) (+ (* 9876869457595968283/37500000000000000 (/ (* (exp (- (* 1/2 (log 15/2)) 15/2)) (* (sqrt 2) (+ 14/15 (* -1 (log 15/2))))) (PI))) (* 131068851705067315609/300000000000000000 (/ (* (exp (- (* 1/2 (log 15/2)) 15/2)) (sqrt 2)) (PI)))))))))) (+ (* (sqrt (pow (PI) 3)) (- (+ (* 129091010669041056297/4390400000000000000000000000 (/ (* (exp (- (* 1/2 (log 15/2)) 15/2)) (sqrt 2)) (PI))) (+ (* 16159431334887105871/78400000000000000000000000 (/ (* (exp (- (* 1/2 (log 15/2)) 15/2)) (* (sqrt 2) (+ 14/15 (* -1 (log 15/2))))) (PI))) (* 2023222488469027353/1400000000000000000000000 (/ (* (exp (- (* 1/2 (log 15/2)) 15/2)) (* (sqrt 2) (+ 29/225 (* 1/2 (pow (+ 14/15 (* -1 (log 15/2))) 2))))) (PI))))) (* -674407496156342451/2800000000000000000000000 (* (PI) (* (exp (- (* 1/2 (log 15/2)) 15/2)) (sqrt 2)))))) (* (sqrt (pow (PI) 3)) (- (+ (* 9876869457595968283/37500000000000000 (/ (* (exp (- (* 1/2 (log 15/2)) 15/2)) (* (sqrt 2) (+ 29/225 (* 1/2 (pow (+ 14/15 (* -1 (log 15/2))) 2))))) (PI))) (+ (* 131068851705067315609/300000000000000000 (/ (* (exp (- (* 1/2 (log 15/2)) 15/2)) (* (sqrt 2) (+ 14/15 (* -1 (log 15/2))))) (PI))) (* 367898832774098786021/675000000000000000 (/ (* (exp (- (* 1/2 (log 15/2)) 15/2)) (sqrt 2)) (PI))))) (* -9876869457595968283/225000000000000000 (* (PI) (* (exp (- (* 1/2 (log 15/2)) 15/2)) (sqrt 2))))))))) (+ (* (sqrt (pow (PI) 3)) (+ (* 16159431334887105871/78400000000000000000000000 (/ (* (exp (- (* 1/2 (log 15/2)) 15/2)) (sqrt 2)) (PI))) (* 2023222488469027353/1400000000000000000000000 (/ (* (exp (- (* 1/2 (log 15/2)) 15/2)) (* (sqrt 2) (+ 14/15 (* -1 (log 15/2))))) (PI))))) (* (sqrt (pow (PI) 3)) (+ (* 9876869457595968283/37500000000000000 (/ (* (exp (- (* 1/2 (log 15/2)) 15/2)) (* (sqrt 2) (+ 14/15 (* -1 (log 15/2))))) (PI))) (* 131068851705067315609/300000000000000000 (/ (* (exp (- (* 1/2 (log 15/2)) 15/2)) (sqrt 2)) (PI)))))))))) z)
6
(+ 6 (* -1 z))
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5
(+ 5 (* -1 z))
(+ 5 (* -1 z))
(+ 5 (* -1 z))
4
(+ 4 (* -1 z))
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rewrite184.0ms (0.8%)

Memory

1.1MiB live, 315.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	181	907
0	296	796
1	1363	796
0	8100	796

Stop Event

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

Counts

28 → 477

Calls

Call 1

Inputs
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Outputs
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eval525.0ms (2.2%)

Memory: 43.8MiB live, 509.7MiB allocated
Compiler: Compiled 182 340 to 7 697 computations (95.8% saved)

prune275.0ms (1.1%)

Memory

3.2MiB live, 277.3MiB allocated

Pruning

44 alts after pruning (44 fresh and 0 done)

	Pruned	Kept	Total
New	1 290	32	1 322
Fresh	10	12	22
Picked	5	0	5
Done	0	0	0
Total	1 305	44	1 349

Accuracy

100.0%

Counts

1 349 → 44

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.5%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (/.f64 (.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (PI.f64) #s(literal 2 binary64)))) (exp.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (fma.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 8 binary64))) (-.f64 (+.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
	97.0%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -7 binary64))) (+.f64 (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -5 binary64))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -4 binary64))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))) #s(literal 9999999999998099/10000000000000000 binary64))))))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))))) #s(approx (/ ( (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (.f64 (.f64 (exp.f64 (-.f64 z #s(literal 15/2 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))))))
	97.0%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
	97.0%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 z #s(literal 1 binary64)))) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
	97.0%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (-.f64 (/.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 8 binary64))) (/.f64 #s(literal 49 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 8 binary64)))) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
	98.2%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (log1p.f64 (-.f64 (neg.f64 z) #s(literal -13/2 binary64))) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
	97.8%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 (fma.f64 (log.f64 (.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 1/2 binary64) (fma.f64 (log.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64))) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
	95.2%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 #s(approx ( (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 #s(literal -15/2 binary64))) (sqrt.f64 (PI.f64)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) #s(approx (+ (- (- 1 z) 1) 1) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
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▶	96.4%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 #s(approx ( (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 #s(literal -15/2 binary64))) (sqrt.f64 (PI.f64)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) #s(literal 479507597606835099/10000000000000000 binary64)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
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▶	98.5%	(.f64 (PI.f64) (/.f64 (.f64 (.f64 (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -7 binary64))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -5 binary64))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -4 binary64))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) (+.f64 (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) #s(literal 9999999999998099/10000000000000000 binary64)) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))))))))) (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64)))) #s(approx (exp (+ (* (- (- 1 z) 1/2) (log (+ 1 (- (neg z) -13/2)))) (+ -1 (+ -13/2 z)))) (exp.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) z) (log.f64 (-.f64 #s(literal 15/2 binary64) z)) (-.f64 z #s(literal 15/2 binary64)))))) (sin.f64 (*.f64 z (PI.f64)))))
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	14.0%	#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (/.f64 (.f64 (.f64 (PI.f64) #s(literal 9999999999998099/10000000000000000 binary64)) (.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))))) (.f64 (sin.f64 (.f64 (PI.f64) z)) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))))
	96.2%	#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (/.f64 (.f64 (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 #s(literal 15 binary64))) (*.f64 (exp.f64 #s(literal 15/2 binary64)) z)))
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	96.6%	#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (exp.f64 #s(literal 15/2 binary64)) z) (sqrt.f64 #s(literal 15 binary64))))))
	96.9%	#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 (sqrt.f64 #s(literal 15 binary64)) (exp.f64 #s(literal 15/2 binary64)))))))
	96.7%	#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (*.f64 (/.f64 (sqrt.f64 #s(literal 15 binary64)) (exp.f64 #s(literal 15/2 binary64))) (/.f64 #s(literal 1 binary64) z))))
	97.1%	#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (*.f64 (/.f64 (sqrt.f64 #s(literal 15/2 binary64)) (exp.f64 #s(literal 15/2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) z))))
▶	96.8%	#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (exp.f64 #s(literal 15/2 binary64)) z)))))
	96.6%	#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (.f64 (neg.f64 (sqrt.f64 #s(literal 15 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 (exp.f64 #s(literal 15/2 binary64)) z))))))
▶	96.5%	#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (sqrt.f64 (PI.f64)) (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (/.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (exp.f64 #s(literal 15/2 binary64)) z)))))
	94.8%	#s(approx (* (/ (PI) (sin (* (PI) z))) (* (exp (+ (* (log (* (PI) 2)) 1/2) (+ (* (log (- (- 1 z) -13/2)) (- (- 1 z) 1/2)) (neg (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (/.f64 (exp.f64 (fma.f64 (+.f64 (log.f64 (.f64 #s(literal 2 binary64) (PI.f64))) (log.f64 #s(literal 15/2 binary64))) #s(literal 1/2 binary64) #s(literal -15/2 binary64))) z) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))
	14.0%	#s(approx (* (/ (PI) (sin (* (PI) z))) (* (exp (+ (* (log (* (PI) 2)) 1/2) (+ (* (log (- (- 1 z) -13/2)) (- (- 1 z) 1/2)) (neg (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (.f64 #s(literal 9999999999998099/10000000000000000 binary64) (PI.f64)) (/.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (.f64 (exp.f64 (-.f64 #s(literal 15/2 binary64) z)) (sin.f64 (.f64 (PI.f64) z))))))
	13.9%	#s(approx (* (/ (PI) (sin (* (PI) z))) (* (exp (+ (* (log (* (PI) 2)) 1/2) (+ (* (log (- (- 1 z) -13/2)) (- (- 1 z) 1/2)) (neg (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) #s(approx (* (* 9999999999998099/10000000000000000 (PI)) (/ (* (pow (* 2 (PI)) 1/2) (pow (- 15/2 z) (- 1/2 z))) (* (exp (- 15/2 z)) (sin (* (PI) z))))) (.f64 (.f64 #s(literal 9999999999998099/10000000000000000 binary64) (sqrt.f64 (PI.f64))) (/.f64 (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (exp.f64 #s(literal 15/2 binary64)) z)))))

Compiler

Compiled 10 714 to 6 548 computations (38.9% saved)

simplify130.0ms (0.5%)

Memory

-32.0MiB live, 105.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	192	(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -4 binary64))
cost-diff	192	(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -5 binary64))
cost-diff	192	(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))
cost-diff	192	(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -7 binary64))
cost-diff	128	(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64))
cost-diff	128	(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64))
cost-diff	128	(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64))
cost-diff	256	(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
cost-diff	0	(sqrt.f64 (PI.f64))
cost-diff	0	(*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))
cost-diff	0	(.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (exp.f64 #s(literal 15/2 binary64)) z))))
cost-diff	0	#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (exp.f64 #s(literal 15/2 binary64)) z)))))
cost-diff	0	(PI.f64)
cost-diff	0	(sqrt.f64 (PI.f64))
cost-diff	0	(.f64 (sqrt.f64 (PI.f64)) (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (/.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (exp.f64 #s(literal 15/2 binary64)) z))))
cost-diff	0	#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (sqrt.f64 (PI.f64)) (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (/.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (exp.f64 #s(literal 15/2 binary64)) z)))))
cost-diff	192	(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -4 binary64))
cost-diff	192	(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -5 binary64))
cost-diff	192	(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))
cost-diff	192	(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -7 binary64))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	210	2942
0	333	2740
1	636	2679
2	1793	2245
3	7470	2245
0	8071	2245

Stop Event

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

Calls

Call 1

Inputs
(.f64 (PI.f64) (/.f64 (.f64 (.f64 (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -7 binary64))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -5 binary64))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -4 binary64))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) (+.f64 (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) #s(literal 9999999999998099/10000000000000000 binary64)) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))))))))) (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64)))) #s(approx (exp (+ (* (- (- 1 z) 1/2) (log (+ 1 (- (neg z) -13/2)))) (+ -1 (+ -13/2 z)))) (exp.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) z) (log.f64 (-.f64 #s(literal 15/2 binary64) z)) (-.f64 z #s(literal 15/2 binary64)))))) (sin.f64 (*.f64 z (PI.f64)))))
(PI.f64)
(/.f64 (.f64 (.f64 (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -7 binary64))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -5 binary64))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -4 binary64))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) (+.f64 (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) #s(literal 9999999999998099/10000000000000000 binary64)) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))))))))) (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64)))) #s(approx (exp (+ ( (- (- 1 z) 1/2) (log (+ 1 (- (neg z) -13/2)))) (+ -1 (+ -13/2 z)))) (exp.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) z) (log.f64 (-.f64 #s(literal 15/2 binary64) z)) (-.f64 z #s(literal 15/2 binary64)))))) (sin.f64 (*.f64 z (PI.f64))))
(.f64 (.f64 (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -7 binary64))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -5 binary64))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -4 binary64))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) (+.f64 (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) #s(literal 9999999999998099/10000000000000000 binary64)) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))))))))) (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64)))) #s(approx (exp (+ ( (- (- 1 z) 1/2) (log (+ 1 (- (neg z) -13/2)))) (+ -1 (+ -13/2 z)))) (exp.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) z) (log.f64 (-.f64 #s(literal 15/2 binary64) z)) (-.f64 z #s(literal 15/2 binary64))))))
(.f64 (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -7 binary64))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -5 binary64))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -4 binary64))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) (+.f64 (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) #s(literal 9999999999998099/10000000000000000 binary64)) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))))))))) (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))))
(+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -7 binary64))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -5 binary64))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -4 binary64))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) (+.f64 (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) #s(literal 9999999999998099/10000000000000000 binary64)) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)))))))))
(/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -7 binary64)))
#s(literal 3764081837873279/25000000000000000000000 binary64)
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -7 binary64))
(-.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
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(/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))
#s(literal -3464277381643003/25000000000000000 binary64)
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64))
#s(literal 6 binary64)
(/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))
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(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64))
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(/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64)))
#s(literal 3764081837873279/25000000000000000000000 binary64)
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))
#s(literal 8 binary64)
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(PI.f64)
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(.f64 (.f64 (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -7 binary64))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -5 binary64))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -4 binary64))) #s(approx (+ (/ -883075145810703/5000000000000 (- (- 1 z) -3)) (+ (/ 7713234287776531/10000000000000 (- (- 1 z) -2)) (+ (+ (/ -3147848041806007/2500000000000 (- (- 1 z) -1)) 9999999999998099/10000000000000000) (/ 6765203681218851/10000000000000 (- 1 z))))) (-.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 (-.f64 #s(literal 30223877537487/2500000000000 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1219830531815489/5000000000000 binary64) z) #s(literal 585619739096309/2500000000000 binary64)) z)) z))))))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))) (exp.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (log1p.f64 (-.f64 (neg.f64 z) #s(literal -13/2 binary64))) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z)))))
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(+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -7 binary64))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -5 binary64))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -4 binary64))) #s(approx (+ (/ -883075145810703/5000000000000 (- (- 1 z) -3)) (+ (/ 7713234287776531/10000000000000 (- (- 1 z) -2)) (+ (+ (/ -3147848041806007/2500000000000 (- (- 1 z) -1)) 9999999999998099/10000000000000000) (/ 6765203681218851/10000000000000 (- 1 z))))) (-.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 (-.f64 #s(literal 30223877537487/2500000000000 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1219830531815489/5000000000000 binary64) z) #s(literal 585619739096309/2500000000000 binary64)) z)) z)))))))
(/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -7 binary64)))
#s(literal 3764081837873279/25000000000000000000000 binary64)
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -7 binary64))
(-.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
#s(literal -7 binary64)
(+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -5 binary64))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -4 binary64))) #s(approx (+ (/ -883075145810703/5000000000000 (- (- 1 z) -3)) (+ (/ 7713234287776531/10000000000000 (- (- 1 z) -2)) (+ (+ (/ -3147848041806007/2500000000000 (- (- 1 z) -1)) 9999999999998099/10000000000000000) (/ 6765203681218851/10000000000000 (- 1 z))))) (-.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 (-.f64 #s(literal 30223877537487/2500000000000 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1219830531815489/5000000000000 binary64) z) #s(literal 585619739096309/2500000000000 binary64)) z)) z))))))
(/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64)))
#s(literal 2496092394504893/250000000000000000000 binary64)
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))
#s(literal -6 binary64)
(+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -5 binary64))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -4 binary64))) #s(approx (+ (/ -883075145810703/5000000000000 (- (- 1 z) -3)) (+ (/ 7713234287776531/10000000000000 (- (- 1 z) -2)) (+ (+ (/ -3147848041806007/2500000000000 (- (- 1 z) -1)) 9999999999998099/10000000000000000) (/ 6765203681218851/10000000000000 (- 1 z))))) (-.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 (-.f64 #s(literal 30223877537487/2500000000000 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1219830531815489/5000000000000 binary64) z) #s(literal 585619739096309/2500000000000 binary64)) z)) z)))))
(/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -5 binary64)))
#s(literal -3464277381643003/25000000000000000 binary64)
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -5 binary64))
#s(literal -5 binary64)
(+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -4 binary64))) #s(approx (+ (/ -883075145810703/5000000000000 (- (- 1 z) -3)) (+ (/ 7713234287776531/10000000000000 (- (- 1 z) -2)) (+ (+ (/ -3147848041806007/2500000000000 (- (- 1 z) -1)) 9999999999998099/10000000000000000) (/ 6765203681218851/10000000000000 (- 1 z))))) (-.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 (-.f64 #s(literal 30223877537487/2500000000000 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1219830531815489/5000000000000 binary64) z) #s(literal 585619739096309/2500000000000 binary64)) z)) z))))
(/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -4 binary64)))
#s(literal 2501468655737381/200000000000000 binary64)
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -4 binary64))
#s(literal -4 binary64)
#s(approx (+ (/ -883075145810703/5000000000000 (- (- 1 z) -3)) (+ (/ 7713234287776531/10000000000000 (- (- 1 z) -2)) (+ (+ (/ -3147848041806007/2500000000000 (- (- 1 z) -1)) 9999999999998099/10000000000000000) (/ 6765203681218851/10000000000000 (- 1 z))))) (-.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 (-.f64 #s(literal 30223877537487/2500000000000 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1219830531815489/5000000000000 binary64) z) #s(literal 585619739096309/2500000000000 binary64)) z)) z)))
(-.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 (-.f64 #s(literal 30223877537487/2500000000000 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1219830531815489/5000000000000 binary64) z) #s(literal 585619739096309/2500000000000 binary64)) z)) z))
#s(literal 9999999999998099/10000000000000000 binary64)
(/.f64 (-.f64 #s(literal 30223877537487/2500000000000 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1219830531815489/5000000000000 binary64) z) #s(literal 585619739096309/2500000000000 binary64)) z)) z)
(-.f64 #s(literal 30223877537487/2500000000000 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1219830531815489/5000000000000 binary64) z) #s(literal 585619739096309/2500000000000 binary64)) z))
#s(literal 30223877537487/2500000000000 binary64)
(/.f64 (+.f64 (/.f64 #s(literal 1219830531815489/5000000000000 binary64) z) #s(literal 585619739096309/2500000000000 binary64)) z)
(+.f64 (/.f64 #s(literal 1219830531815489/5000000000000 binary64) z) #s(literal 585619739096309/2500000000000 binary64))
(/.f64 #s(literal 1219830531815489/5000000000000 binary64) z)
#s(literal 1219830531815489/5000000000000 binary64)
#s(literal 585619739096309/2500000000000 binary64)
(sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))
(*.f64 #s(literal 2 binary64) (PI.f64))
#s(literal 2 binary64)
(exp.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (log1p.f64 (-.f64 (neg.f64 z) #s(literal -13/2 binary64))) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z))))
(fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (log1p.f64 (-.f64 (neg.f64 z) #s(literal -13/2 binary64))) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z)))
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(log1p.f64 (-.f64 (neg.f64 z) #s(literal -13/2 binary64)))
(-.f64 (neg.f64 z) #s(literal -13/2 binary64))
(neg.f64 z)
#s(literal -13/2 binary64)
(+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z))
#s(literal -1 binary64)
(+.f64 #s(literal -13/2 binary64) z)
(sin.f64 (*.f64 z (PI.f64)))
(*.f64 z (PI.f64))

Outputs
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(PI.f64)
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#s(literal 1 binary64)
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#s(literal 2496092394504893/250000000000000000000 binary64)
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(.f64 (+.f64 (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))) (+.f64 (+.f64 #s(approx (+ (/ -883075145810703/5000000000000 (- (- 1 z) -3)) (+ (/ 7713234287776531/10000000000000 (- (- 1 z) -2)) (+ (+ (/ -3147848041806007/2500000000000 (- (- 1 z) -1)) 9999999999998099/10000000000000000) (/ 6765203681218851/10000000000000 (- 1 z))))) (-.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 (-.f64 #s(literal 30223877537487/2500000000000 binary64) (/.f64 (+.f64 #s(literal 585619739096309/2500000000000 binary64) (/.f64 #s(literal 1219830531815489/5000000000000 binary64) z)) z)) z))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))))
(+.f64 (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))) (+.f64 (+.f64 #s(approx (+ (/ -883075145810703/5000000000000 (- (- 1 z) -3)) (+ (/ 7713234287776531/10000000000000 (- (- 1 z) -2)) (+ (+ (/ -3147848041806007/2500000000000 (- (- 1 z) -1)) 9999999999998099/10000000000000000) (/ 6765203681218851/10000000000000 (- 1 z))))) (-.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 (-.f64 #s(literal 30223877537487/2500000000000 binary64) (/.f64 (+.f64 #s(literal 585619739096309/2500000000000 binary64) (/.f64 #s(literal 1219830531815489/5000000000000 binary64) z)) z)) z))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z))))
(/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z))
#s(literal 3764081837873279/25000000000000000000000 binary64)
(-.f64 #s(literal 8 binary64) z)
(-.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
#s(literal -7 binary64)
(+.f64 (+.f64 (+.f64 #s(approx (+ (/ -883075145810703/5000000000000 (- (- 1 z) -3)) (+ (/ 7713234287776531/10000000000000 (- (- 1 z) -2)) (+ (+ (/ -3147848041806007/2500000000000 (- (- 1 z) -1)) 9999999999998099/10000000000000000) (/ 6765203681218851/10000000000000 (- 1 z))))) (-.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 (-.f64 #s(literal 30223877537487/2500000000000 binary64) (/.f64 (+.f64 #s(literal 585619739096309/2500000000000 binary64) (/.f64 #s(literal 1219830531815489/5000000000000 binary64) z)) z)) z))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)))
(/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))
#s(literal 2496092394504893/250000000000000000000 binary64)
(-.f64 #s(literal 7 binary64) z)
#s(literal -6 binary64)
(+.f64 (+.f64 #s(approx (+ (/ -883075145810703/5000000000000 (- (- 1 z) -3)) (+ (/ 7713234287776531/10000000000000 (- (- 1 z) -2)) (+ (+ (/ -3147848041806007/2500000000000 (- (- 1 z) -1)) 9999999999998099/10000000000000000) (/ 6765203681218851/10000000000000 (- 1 z))))) (-.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 (-.f64 #s(literal 30223877537487/2500000000000 binary64) (/.f64 (+.f64 #s(literal 585619739096309/2500000000000 binary64) (/.f64 #s(literal 1219830531815489/5000000000000 binary64) z)) z)) z))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)))
(/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z))
#s(literal -3464277381643003/25000000000000000 binary64)
(-.f64 #s(literal 6 binary64) z)
#s(literal -5 binary64)
(+.f64 #s(approx (+ (/ -883075145810703/5000000000000 (- (- 1 z) -3)) (+ (/ 7713234287776531/10000000000000 (- (- 1 z) -2)) (+ (+ (/ -3147848041806007/2500000000000 (- (- 1 z) -1)) 9999999999998099/10000000000000000) (/ 6765203681218851/10000000000000 (- 1 z))))) (-.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 (-.f64 #s(literal 30223877537487/2500000000000 binary64) (/.f64 (+.f64 #s(literal 585619739096309/2500000000000 binary64) (/.f64 #s(literal 1219830531815489/5000000000000 binary64) z)) z)) z))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)))
(/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z))
#s(literal 2501468655737381/200000000000000 binary64)
(-.f64 #s(literal 5 binary64) z)
#s(literal -4 binary64)
#s(approx (+ (/ -883075145810703/5000000000000 (- (- 1 z) -3)) (+ (/ 7713234287776531/10000000000000 (- (- 1 z) -2)) (+ (+ (/ -3147848041806007/2500000000000 (- (- 1 z) -1)) 9999999999998099/10000000000000000) (/ 6765203681218851/10000000000000 (- 1 z))))) (-.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 (-.f64 #s(literal 30223877537487/2500000000000 binary64) (/.f64 (+.f64 #s(literal 585619739096309/2500000000000 binary64) (/.f64 #s(literal 1219830531815489/5000000000000 binary64) z)) z)) z)))
(-.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 (-.f64 #s(literal 30223877537487/2500000000000 binary64) (/.f64 (+.f64 #s(literal 585619739096309/2500000000000 binary64) (/.f64 #s(literal 1219830531815489/5000000000000 binary64) z)) z)) z))
#s(literal 9999999999998099/10000000000000000 binary64)
(/.f64 (-.f64 #s(literal 30223877537487/2500000000000 binary64) (/.f64 (+.f64 #s(literal 585619739096309/2500000000000 binary64) (/.f64 #s(literal 1219830531815489/5000000000000 binary64) z)) z)) z)
(-.f64 #s(literal 30223877537487/2500000000000 binary64) (/.f64 (+.f64 #s(literal 585619739096309/2500000000000 binary64) (/.f64 #s(literal 1219830531815489/5000000000000 binary64) z)) z))
#s(literal 30223877537487/2500000000000 binary64)
(/.f64 (+.f64 #s(literal 585619739096309/2500000000000 binary64) (/.f64 #s(literal 1219830531815489/5000000000000 binary64) z)) z)
(+.f64 #s(literal 585619739096309/2500000000000 binary64) (/.f64 #s(literal 1219830531815489/5000000000000 binary64) z))
(/.f64 #s(literal 1219830531815489/5000000000000 binary64) z)
#s(literal 1219830531815489/5000000000000 binary64)
#s(literal 585619739096309/2500000000000 binary64)
(sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))
(*.f64 #s(literal 2 binary64) (PI.f64))
#s(literal 2 binary64)
(*.f64 (exp.f64 (-.f64 z #s(literal 15/2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))
(fma.f64 (log1p.f64 (-.f64 #s(literal 13/2 binary64) z)) (-.f64 #s(literal 1/2 binary64) z) (-.f64 z #s(literal 15/2 binary64)))
(-.f64 #s(literal 1/2 binary64) z)
#s(literal 1/2 binary64)
(log1p.f64 (-.f64 #s(literal 13/2 binary64) z))
(-.f64 #s(literal 13/2 binary64) z)
(neg.f64 z)
#s(literal -13/2 binary64)
(-.f64 z #s(literal 15/2 binary64))
#s(literal -1 binary64)
(-.f64 z #s(literal 13/2 binary64))
(sin.f64 (*.f64 z (PI.f64)))
(*.f64 z (PI.f64))

localize1.0s (4.3%)

Memory

44.2MiB live, 1 175.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.984375	(.f64 (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -7 binary64))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -5 binary64))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -4 binary64))) #s(approx (+ (/ -883075145810703/5000000000000 (- (- 1 z) -3)) (+ (/ 7713234287776531/10000000000000 (- (- 1 z) -2)) (+ (+ (/ -3147848041806007/2500000000000 (- (- 1 z) -1)) 9999999999998099/10000000000000000) (/ 6765203681218851/10000000000000 (- 1 z))))) (-.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 (-.f64 #s(literal 30223877537487/2500000000000 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1219830531815489/5000000000000 binary64) z) #s(literal 585619739096309/2500000000000 binary64)) z)) z))))))) (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))))
accuracy	1.0	(sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))
accuracy	1.5621124030367302	(exp.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (log1p.f64 (-.f64 (neg.f64 z) #s(literal -13/2 binary64))) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z))))
accuracy	62.13887991588343	#s(approx (+ (/ -883075145810703/5000000000000 (- (- 1 z) -3)) (+ (/ 7713234287776531/10000000000000 (- (- 1 z) -2)) (+ (+ (/ -3147848041806007/2500000000000 (- (- 1 z) -1)) 9999999999998099/10000000000000000) (/ 6765203681218851/10000000000000 (- 1 z))))) (-.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 (-.f64 #s(literal 30223877537487/2500000000000 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1219830531815489/5000000000000 binary64) z) #s(literal 585619739096309/2500000000000 binary64)) z)) z)))
accuracy	1.0	(sqrt.f64 (PI.f64))
accuracy	1.517076975963042	#s(approx (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 #s(literal -15/2 binary64))) (sqrt.f64 (PI.f64))))
accuracy	1.6330307600308267	#s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) #s(literal 479507597606835099/10000000000000000 binary64))
accuracy	58.39908663065375	(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
accuracy	0.33431625976844204	(.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (exp.f64 #s(literal 15/2 binary64)) z))))
accuracy	0.47169877930532605	(/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (exp.f64 #s(literal 15/2 binary64)) z))
accuracy	1.0	(sqrt.f64 (PI.f64))
accuracy	1.5031645048908389	#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (exp.f64 #s(literal 15/2 binary64)) z)))))
accuracy	0.36166000976844204	(/.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (exp.f64 #s(literal 15/2 binary64)) z))
accuracy	0.6816788086106521	(.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (/.f64 (sqrt.f64 #s(literal 15 binary64)) (.f64 (exp.f64 #s(literal 15/2 binary64)) z)))
accuracy	1.0	(sqrt.f64 (PI.f64))
accuracy	1.5031645048908389	#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (sqrt.f64 (PI.f64)) (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (/.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (exp.f64 #s(literal 15/2 binary64)) z)))))
accuracy	0.984375	(.f64 (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -7 binary64))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -5 binary64))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -4 binary64))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) (+.f64 (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) #s(literal 9999999999998099/10000000000000000 binary64)) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))))))))) (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))))
accuracy	1.0	(sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))
accuracy	1.5621124030367302	(exp.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) z) (log.f64 (-.f64 #s(literal 15/2 binary64) z)) (-.f64 z #s(literal 15/2 binary64))))
accuracy	2.7598700929664375	(+.f64 (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) #s(literal 9999999999998099/10000000000000000 binary64)) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)))

Samples

393.0ms	156×	1	valid
363.0ms	76×	2	valid
27.0ms	24×	0	valid

Compiler

Compiled 5 668 to 386 computations (93.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 628.0ms

ival-mult: 126.0ms (20.1% of total)

ival-add: 103.0ms (16.4% of total)

adjust: 97.0ms (15.4% of total)

ival-div: 89.0ms (14.2% of total)

const: 67.0ms (10.7% of total)

ival-exp: 47.0ms (7.5% of total)

ival-sub: 44.0ms (7% of total)

ival-pow: 21.0ms (3.3% of total)

ival-sqrt: 10.0ms (1.6% of total)

ival-log: 7.0ms (1.1% of total)

ival-log1p: 7.0ms (1.1% of total)

ival-neg: 4.0ms (0.6% of total)

ival-sinu: 3.0ms (0.5% of total)

exact: 2.0ms (0.3% of total)

ival-pi: 1.0ms (0.2% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series52.0ms (0.2%)

Memory

-30.4MiB live, 66.2MiB allocated

Counts

27 → 276

Calls

Call 1

Inputs
#s(alt #<batchref> (patch (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -7 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -5 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -4 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (sqrt.f64 (PI.f64)) (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (/.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (exp.f64 #s(literal 15/2 binary64)) z))))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (sqrt.f64 (PI.f64)) (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (/.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (exp.f64 #s(literal 15/2 binary64)) z)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (sqrt.f64 (PI.f64)) #<representation binary64>) () ())
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Outputs
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Calls

3 calls:

Time

Variable

Point

Expression

9.0ms

((- (- 1 z) -7) (- (- 1 z) -6) (- (- 1 z) -5) (- (- 1 z) -4) (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (* (sqrt (PI)) (* 1106209385320415913103082059/4200000000000000000000000 (/ (sqrt 15) (* (exp 15/2) z)))) (sqrt (PI)) (PI) (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (* (* (sqrt (PI)) 1106209385320415913103082059/4200000000000000000000000) (* (sqrt 15/2) (/ (sqrt 2) (* (exp 15/2) z)))) (* (sqrt (PI)) 1106209385320415913103082059/4200000000000000000000000) (- (- 1 z) 1) (+ (- (- 1 z) 1) 3) (+ (- (- 1 z) 1) 4) (+ (- (- 1 z) 1) 5) (+ (+ (/ -3147848041806007/2500000000000 (- (- 1 z) -1)) 9999999999998099/10000000000000000) (/ 6765203681218851/10000000000000 (- 1 z))) (exp (+ (* (- 1/2 z) (log (- 15/2 z))) (- z 15/2))) (sqrt (* 2 (PI))) (* (+ (/ 3764081837873279/25000000000000000000000 (- (- 1 z) -7)) (+ (/ 2496092394504893/250000000000000000000 (- (- 1 z) -6)) (+ (/ -3464277381643003/25000000000000000 (- (- 1 z) -5)) (+ (/ 2501468655737381/200000000000000 (- (- 1 z) -4)) (+ (/ -883075145810703/5000000000000 (- (- 1 z) -3)) (+ (/ 7713234287776531/10000000000000 (- (- 1 z) -2)) (+ (+ (/ -3147848041806007/2500000000000 (- (- 1 z) -1)) 9999999999998099/10000000000000000) (/ 6765203681218851/10000000000000 (- 1 z))))))))) (sqrt (* 2 (PI)))) (* 1106209385320415913103082059/4200000000000000000000000 (/ (sqrt 15) (* (exp 15/2) z))) (/ (sqrt 15) (* (exp 15/2) z)) (/ (sqrt 2) (* (exp 15/2) z)) (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (/ -883075145810703/5000000000000 (- (- 1 z) -3)) (+ (/ 7713234287776531/10000000000000 (- (- 1 z) -2)) (+ (+ (/ -3147848041806007/2500000000000 (- (- 1 z) -1)) 9999999999998099/10000000000000000) (/ 6765203681218851/10000000000000 (- 1 z))))) (exp (+ (* (- (- 1 z) 1/2) (log (+ 1 (- (neg z) -13/2)))) (+ -1 (+ -13/2 z)))) (* (+ (/ 3764081837873279/25000000000000000000000 (- (- 1 z) -7)) (+ (/ 2496092394504893/250000000000000000000 (- (- 1 z) -6)) (+ (/ -3464277381643003/25000000000000000 (- (- 1 z) -5)) (+ (/ 2501468655737381/200000000000000 (- (- 1 z) -4)) (+ (/ -883075145810703/5000000000000 (- (- 1 z) -3)) (+ (/ 7713234287776531/10000000000000 (- (- 1 z) -2)) (+ (+ (/ -3147848041806007/2500000000000 (- (- 1 z) -1)) 9999999999998099/10000000000000000) (/ 6765203681218851/10000000000000 (- 1 z))))))))) (sqrt (* 2 (PI)))))

5.0ms

-inf

((- (- 1 z) -7) (- (- 1 z) -6) (- (- 1 z) -5) (- (- 1 z) -4) (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (* (sqrt (PI)) (* 1106209385320415913103082059/4200000000000000000000000 (/ (sqrt 15) (* (exp 15/2) z)))) (sqrt (PI)) (PI) (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (* (* (sqrt (PI)) 1106209385320415913103082059/4200000000000000000000000) (* (sqrt 15/2) (/ (sqrt 2) (* (exp 15/2) z)))) (* (sqrt (PI)) 1106209385320415913103082059/4200000000000000000000000) (- (- 1 z) 1) (+ (- (- 1 z) 1) 3) (+ (- (- 1 z) 1) 4) (+ (- (- 1 z) 1) 5) (+ (+ (/ -3147848041806007/2500000000000 (- (- 1 z) -1)) 9999999999998099/10000000000000000) (/ 6765203681218851/10000000000000 (- 1 z))) (exp (+ (* (- 1/2 z) (log (- 15/2 z))) (- z 15/2))) (sqrt (* 2 (PI))) (* (+ (/ 3764081837873279/25000000000000000000000 (- (- 1 z) -7)) (+ (/ 2496092394504893/250000000000000000000 (- (- 1 z) -6)) (+ (/ -3464277381643003/25000000000000000 (- (- 1 z) -5)) (+ (/ 2501468655737381/200000000000000 (- (- 1 z) -4)) (+ (/ -883075145810703/5000000000000 (- (- 1 z) -3)) (+ (/ 7713234287776531/10000000000000 (- (- 1 z) -2)) (+ (+ (/ -3147848041806007/2500000000000 (- (- 1 z) -1)) 9999999999998099/10000000000000000) (/ 6765203681218851/10000000000000 (- 1 z))))))))) (sqrt (* 2 (PI)))) (* 1106209385320415913103082059/4200000000000000000000000 (/ (sqrt 15) (* (exp 15/2) z))) (/ (sqrt 15) (* (exp 15/2) z)) (/ (sqrt 2) (* (exp 15/2) z)) (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (/ -883075145810703/5000000000000 (- (- 1 z) -3)) (+ (/ 7713234287776531/10000000000000 (- (- 1 z) -2)) (+ (+ (/ -3147848041806007/2500000000000 (- (- 1 z) -1)) 9999999999998099/10000000000000000) (/ 6765203681218851/10000000000000 (- 1 z))))) (exp (+ (* (- (- 1 z) 1/2) (log (+ 1 (- (neg z) -13/2)))) (+ -1 (+ -13/2 z)))) (* (+ (/ 3764081837873279/25000000000000000000000 (- (- 1 z) -7)) (+ (/ 2496092394504893/250000000000000000000 (- (- 1 z) -6)) (+ (/ -3464277381643003/25000000000000000 (- (- 1 z) -5)) (+ (/ 2501468655737381/200000000000000 (- (- 1 z) -4)) (+ (/ -883075145810703/5000000000000 (- (- 1 z) -3)) (+ (/ 7713234287776531/10000000000000 (- (- 1 z) -2)) (+ (+ (/ -3147848041806007/2500000000000 (- (- 1 z) -1)) 9999999999998099/10000000000000000) (/ 6765203681218851/10000000000000 (- 1 z))))))))) (sqrt (* 2 (PI)))))

4.0ms

inf

((- (- 1 z) -7) (- (- 1 z) -6) (- (- 1 z) -5) (- (- 1 z) -4) (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (* (sqrt (PI)) (* 1106209385320415913103082059/4200000000000000000000000 (/ (sqrt 15) (* (exp 15/2) z)))) (sqrt (PI)) (PI) (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (* (* (sqrt (PI)) 1106209385320415913103082059/4200000000000000000000000) (* (sqrt 15/2) (/ (sqrt 2) (* (exp 15/2) z)))) (* (sqrt (PI)) 1106209385320415913103082059/4200000000000000000000000) (- (- 1 z) 1) (+ (- (- 1 z) 1) 3) (+ (- (- 1 z) 1) 4) (+ (- (- 1 z) 1) 5) (+ (+ (/ -3147848041806007/2500000000000 (- (- 1 z) -1)) 9999999999998099/10000000000000000) (/ 6765203681218851/10000000000000 (- 1 z))) (exp (+ (* (- 1/2 z) (log (- 15/2 z))) (- z 15/2))) (sqrt (* 2 (PI))) (* (+ (/ 3764081837873279/25000000000000000000000 (- (- 1 z) -7)) (+ (/ 2496092394504893/250000000000000000000 (- (- 1 z) -6)) (+ (/ -3464277381643003/25000000000000000 (- (- 1 z) -5)) (+ (/ 2501468655737381/200000000000000 (- (- 1 z) -4)) (+ (/ -883075145810703/5000000000000 (- (- 1 z) -3)) (+ (/ 7713234287776531/10000000000000 (- (- 1 z) -2)) (+ (+ (/ -3147848041806007/2500000000000 (- (- 1 z) -1)) 9999999999998099/10000000000000000) (/ 6765203681218851/10000000000000 (- 1 z))))))))) (sqrt (* 2 (PI)))) (* 1106209385320415913103082059/4200000000000000000000000 (/ (sqrt 15) (* (exp 15/2) z))) (/ (sqrt 15) (* (exp 15/2) z)) (/ (sqrt 2) (* (exp 15/2) z)) (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (/ -883075145810703/5000000000000 (- (- 1 z) -3)) (+ (/ 7713234287776531/10000000000000 (- (- 1 z) -2)) (+ (+ (/ -3147848041806007/2500000000000 (- (- 1 z) -1)) 9999999999998099/10000000000000000) (/ 6765203681218851/10000000000000 (- 1 z))))) (exp (+ (* (- (- 1 z) 1/2) (log (+ 1 (- (neg z) -13/2)))) (+ -1 (+ -13/2 z)))) (* (+ (/ 3764081837873279/25000000000000000000000 (- (- 1 z) -7)) (+ (/ 2496092394504893/250000000000000000000 (- (- 1 z) -6)) (+ (/ -3464277381643003/25000000000000000 (- (- 1 z) -5)) (+ (/ 2501468655737381/200000000000000 (- (- 1 z) -4)) (+ (/ -883075145810703/5000000000000 (- (- 1 z) -3)) (+ (/ 7713234287776531/10000000000000 (- (- 1 z) -2)) (+ (+ (/ -3147848041806007/2500000000000 (- (- 1 z) -1)) 9999999999998099/10000000000000000) (/ 6765203681218851/10000000000000 (- 1 z))))))))) (sqrt (* 2 (PI)))))

simplify236.0ms (1%)

Memory

5.6MiB live, 270.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	445	5400
1	1453	5178
2	4729	5114
0	9433	4914

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 276

Calls

Call 1

Inputs
8
(+ 8 (* -1 z))
(+ 8 (* -1 z))
(+ 8 (* -1 z))
7
(+ 7 (* -1 z))
(+ 7 (* -1 z))
(+ 7 (* -1 z))
6
(+ 6 (* -1 z))
(+ 6 (* -1 z))
(+ 6 (* -1 z))
5
(+ 5 (* -1 z))
(+ 5 (* -1 z))
(+ 5 (* -1 z))
(* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (sqrt 2) (sqrt 15/2)) (* z (exp 15/2))) (sqrt (PI))))
(/ (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (PI)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))) (* (* z (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (sqrt (pow (PI) 3)))) z)
(/ (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (PI)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))) (* z (+ (* (sqrt (pow (PI) 3)) (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (* (* z (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (+ (* 102757979785251069442117317613/235200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 64608921419941589693928044520019/118540800000000000000000000000 (sqrt 15/2))))) (* (PI) (exp 15/2))) (+ (* -1 (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (* 1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (* (sqrt 15/2) (+ (* -1/6 (* (pow (PI) 3) (exp 15/2))) (* 1/2 (* (PI) (exp 15/2)))))) (* (pow (PI) 2) (pow (exp 15/2) 2))))))) (sqrt (pow (PI) 3)))))) z)
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Outputs
#s(literal 8 binary64)
(-.f64 #s(literal 8 binary64) z)
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#s(literal 7 binary64)
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#s(literal 5 binary64)
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rewrite250.0ms (1%)

Memory

26.9MiB live, 226.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	172	668
0	258	609
1	1329	609
0	8028	609

Stop Event

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

Counts

27 → 258

Calls

Call 1

Inputs
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -7 binary64))
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -5 binary64))
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -4 binary64))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (sqrt.f64 (PI.f64)) (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (/.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (exp.f64 #s(literal 15/2 binary64)) z)))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (/.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (exp.f64 #s(literal 15/2 binary64)) z))))
(sqrt.f64 (PI.f64))
(PI.f64)
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (exp.f64 #s(literal 15/2 binary64)) z)))))
(.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (exp.f64 #s(literal 15/2 binary64)) z))))
(*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64))
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64))
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64))
(+.f64 (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) #s(literal 9999999999998099/10000000000000000 binary64)) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)))
(exp.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) z) (log.f64 (-.f64 #s(literal 15/2 binary64) z)) (-.f64 z #s(literal 15/2 binary64))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))
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(.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (/.f64 (sqrt.f64 #s(literal 15 binary64)) (.f64 (exp.f64 #s(literal 15/2 binary64)) z)))
(/.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (exp.f64 #s(literal 15/2 binary64)) z))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (exp.f64 #s(literal 15/2 binary64)) z))
#s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) #s(literal 479507597606835099/10000000000000000 binary64))
#s(approx (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 #s(literal -15/2 binary64))) (sqrt.f64 (PI.f64))))
#s(approx (+ (/ -883075145810703/5000000000000 (- (- 1 z) -3)) (+ (/ 7713234287776531/10000000000000 (- (- 1 z) -2)) (+ (+ (/ -3147848041806007/2500000000000 (- (- 1 z) -1)) 9999999999998099/10000000000000000) (/ 6765203681218851/10000000000000 (- 1 z))))) (-.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 (-.f64 #s(literal 30223877537487/2500000000000 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1219830531815489/5000000000000 binary64) z) #s(literal 585619739096309/2500000000000 binary64)) z)) z)))
(exp.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (log1p.f64 (-.f64 (neg.f64 z) #s(literal -13/2 binary64))) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z))))
(.f64 (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -7 binary64))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -5 binary64))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -4 binary64))) #s(approx (+ (/ -883075145810703/5000000000000 (- (- 1 z) -3)) (+ (/ 7713234287776531/10000000000000 (- (- 1 z) -2)) (+ (+ (/ -3147848041806007/2500000000000 (- (- 1 z) -1)) 9999999999998099/10000000000000000) (/ 6765203681218851/10000000000000 (- 1 z))))) (-.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 (-.f64 #s(literal 30223877537487/2500000000000 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1219830531815489/5000000000000 binary64) z) #s(literal 585619739096309/2500000000000 binary64)) z)) z))))))) (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))))

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eval234.0ms (1%)

Memory: 18.9MiB live, 477.8MiB allocated
Compiler: Compiled 125 664 to 4 881 computations (96.1% saved)

prune300.0ms (1.3%)

Memory

-30.5MiB live, 616.2MiB allocated

Pruning

55 alts after pruning (53 fresh and 2 done)

	Pruned	Kept	Total
New	933	25	958
Fresh	11	28	39
Picked	3	2	5
Done	0	0	0
Total	947	55	1 002

Accuracy

100.0%

Counts

1 002 → 55

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.5%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (/.f64 (.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (PI.f64) #s(literal 2 binary64)))) (exp.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (fma.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 8 binary64))) (-.f64 (+.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
	97.0%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -7 binary64))) (+.f64 (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -5 binary64))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -4 binary64))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))) #s(literal 9999999999998099/10000000000000000 binary64))))))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))))) #s(approx (/ ( (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (.f64 (.f64 (exp.f64 (-.f64 z #s(literal 15/2 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))))))
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✓	96.5%	#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (sqrt.f64 (PI.f64)) (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (/.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (exp.f64 #s(literal 15/2 binary64)) z)))))
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Compiler

Compiled 19 597 to 5 172 computations (73.6% saved)

regimes77.0ms (0.3%)

Memory

5.9MiB live, 160.9MiB allocated

Counts

102 → 1

Calls

Call 1

Inputs
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#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 #s(literal 15 binary64))) (*.f64 (exp.f64 #s(literal 15/2 binary64)) z))))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (/.f64 (sqrt.f64 #s(literal 15 binary64)) (.f64 (exp.f64 #s(literal 15/2 binary64)) z)) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64)))))
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#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (/.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 15/2 binary64)) (exp.f64 #s(literal 15/2 binary64))) (.f64 (.f64 (sqrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (fma.f64 (pow.f64 (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 29/225 binary64))) (sqrt.f64 #s(literal 15/2 binary64)) (fma.f64 (.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64)))) (sqrt.f64 #s(literal 15/2 binary64)) (.f64 (sqrt.f64 #s(literal 15/2 binary64)) #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64)))) (PI.f64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 #s(literal 15/2 binary64))) (fma.f64 (.f64 (/.f64 (.f64 (.f64 (exp.f64 #s(literal 15/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal -1/6 binary64)))) (sqrt.f64 #s(literal 15/2 binary64))) (.f64 (PI.f64) (PI.f64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 #s(literal 15 binary64)))) #s(literal -1106209385320415913103082059/4200000000000000000000000 binary64) (fma.f64 (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))) (/.f64 (sqrt.f64 #s(literal 15/2 binary64)) (exp.f64 #s(literal 15/2 binary64))) (/.f64 (.f64 (fma.f64 (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64)))) (sqrt.f64 #s(literal 15/2 binary64)) (.f64 (sqrt.f64 #s(literal 15/2 binary64)) #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64))) (sqrt.f64 #s(literal 2 binary64))) (.f64 (exp.f64 #s(literal 15/2 binary64)) (PI.f64)))))) z (fma.f64 (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))) (/.f64 (sqrt.f64 #s(literal 15/2 binary64)) (exp.f64 #s(literal 15/2 binary64))) (/.f64 (.f64 (fma.f64 (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64)))) (sqrt.f64 #s(literal 15/2 binary64)) (.f64 (sqrt.f64 #s(literal 15/2 binary64)) #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64))) (sqrt.f64 #s(literal 2 binary64))) (.f64 (exp.f64 #s(literal 15/2 binary64)) (PI.f64)))))) z)) z))

Outputs

(fma.f64 (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -5 binary64))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -4 binary64))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) (+.f64 (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) #s(literal 9999999999998099/10000000000000000 binary64)) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))))))) (*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))) (exp.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (log1p.f64 (-.f64 (neg.f64 z) #s(literal -13/2 binary64))) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z))))) (*.f64 (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -7 binary64))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64)))) (*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))) (exp.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (log1p.f64 (-.f64 (neg.f64 z) #s(literal -13/2 binary64))) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z)))))))

Calls

2 calls:

31.0ms

29.0ms

(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))

Results

Accuracy	Segments	Branch
98.9%	1	`z`
98.9%	1	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))

Compiler

Compiled 124 to 61 computations (50.8% saved)

regimes96.0ms (0.4%)

Memory

-35.8MiB live, 151.3MiB allocated

Counts

99 → 1

Calls

Call 1

Inputs
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (sqrt.f64 (PI.f64)) (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (/.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (exp.f64 #s(literal 15/2 binary64)) z)))))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 #s(literal 15 binary64))) (*.f64 (exp.f64 #s(literal 15/2 binary64)) z))))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (/.f64 (sqrt.f64 #s(literal 15 binary64)) (.f64 (exp.f64 #s(literal 15/2 binary64)) z)) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64)))))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (/.f64 (.f64 (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 #s(literal 15 binary64))) (*.f64 (exp.f64 #s(literal 15/2 binary64)) z)))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) #s(approx (* (sqrt (PI)) (* 1106209385320415913103082059/4200000000000000000000000 (/ (sqrt 15) (* (exp 15/2) z)))) (.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (/.f64 (/.f64 (sqrt.f64 #s(literal 15 binary64)) z) (exp.f64 #s(literal 15/2 binary64))))))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (sqrt.f64 (PI.f64)) (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 15 binary64)) (exp.f64 #s(literal 15/2 binary64))) z))))
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(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (/.f64 (*.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))) (sqrt.f64 (PI.f64))) (exp.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 #s(literal 1/2 binary64)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 z #s(literal 1 binary64)))) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (-.f64 (/.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 8 binary64))) (/.f64 #s(literal 49 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 8 binary64)))) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (/.f64 (.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (PI.f64) #s(literal 2 binary64)))) (exp.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (fma.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 8 binary64))) (-.f64 (+.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (fma.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 #s(literal 8 binary64) (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (-.f64 (+.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)))) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))

Outputs

(*.f64 (PI.f64) (/.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -7 binary64))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -5 binary64))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) #s(approx (- (- 1 z) -4) (-.f64 #s(literal 5 binary64) z))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) (+.f64 (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) #s(literal 9999999999998099/10000000000000000 binary64)) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))))))))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))) #s(approx (exp (+ (* (- (- 1 z) 1/2) (log (+ 1 (- (neg z) -13/2)))) (+ -1 (+ -13/2 z)))) (exp.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) z) (log.f64 (-.f64 #s(literal 15/2 binary64) z)) (-.f64 z #s(literal 15/2 binary64)))))) (sin.f64 (*.f64 z (PI.f64)))))

Calls

2 calls:

27.0ms

(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))

25.0ms

Results

Accuracy	Segments	Branch
98.5%	1	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
98.5%	1	`z`

Compiler

Compiled 124 to 61 computations (50.8% saved)

regimes44.0ms (0.2%)

Memory

35.0MiB live, 73.5MiB allocated

Counts

61 → 1

Calls

Call 1

Inputs
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (sqrt.f64 (PI.f64)) (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (/.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (exp.f64 #s(literal 15/2 binary64)) z)))))
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Outputs

(*.f64 (PI.f64) (/.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -7 binary64))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -5 binary64))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -4 binary64))) #s(approx (+ (/ -883075145810703/5000000000000 (- (- 1 z) -3)) (+ (/ 7713234287776531/10000000000000 (- (- 1 z) -2)) (+ (+ (/ -3147848041806007/2500000000000 (- (- 1 z) -1)) 9999999999998099/10000000000000000) (/ 6765203681218851/10000000000000 (- 1 z))))) (fma.f64 (fma.f64 #s(literal 4708246094784852251/8640000000000000 binary64) z #s(literal 314207804027640689/720000000000000 binary64)) z #s(literal 7827144361880981797/30000000000000000 binary64))))))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))) (exp.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (log1p.f64 (-.f64 (neg.f64 z) #s(literal -13/2 binary64))) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z))))) (sin.f64 (*.f64 z (PI.f64)))))

Calls

2 calls:

20.0ms

(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))

16.0ms

Results

Accuracy	Segments	Branch
98.2%	1	`z`
98.2%	1	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))

Compiler

Compiled 124 to 61 computations (50.8% saved)

regimes34.0ms (0.1%)

Memory

-11.6MiB live, 65.7MiB allocated

Counts

47 → 1

Calls

Call 1

Inputs
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (sqrt.f64 (PI.f64)) (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (/.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (exp.f64 #s(literal 15/2 binary64)) z)))))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 #s(literal 15 binary64))) (*.f64 (exp.f64 #s(literal 15/2 binary64)) z))))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (/.f64 (sqrt.f64 #s(literal 15 binary64)) (.f64 (exp.f64 #s(literal 15/2 binary64)) z)) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64)))))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (/.f64 (.f64 (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 #s(literal 15 binary64))) (*.f64 (exp.f64 #s(literal 15/2 binary64)) z)))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) #s(approx (* (sqrt (PI)) (* 1106209385320415913103082059/4200000000000000000000000 (/ (sqrt 15) (* (exp 15/2) z)))) (.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (/.f64 (/.f64 (sqrt.f64 #s(literal 15 binary64)) z) (exp.f64 #s(literal 15/2 binary64))))))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (sqrt.f64 (PI.f64)) (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 15 binary64)) (exp.f64 #s(literal 15/2 binary64))) z))))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (sqrt.f64 (PI.f64)) (.f64 (/.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) z) (/.f64 (sqrt.f64 #s(literal 15 binary64)) (exp.f64 #s(literal 15/2 binary64))))))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (/.f64 (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) z) (/.f64 (sqrt.f64 #s(literal 15 binary64)) (exp.f64 #s(literal 15/2 binary64)))))
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#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (sqrt.f64 (PI.f64)) (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (exp.f64 #s(literal 15/2 binary64)) z) (sqrt.f64 #s(literal 15 binary64)))))))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (*.f64 (/.f64 (sqrt.f64 #s(literal 15 binary64)) (exp.f64 #s(literal 15/2 binary64))) (/.f64 #s(literal 1 binary64) z))))
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#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (exp.f64 #s(literal 15/2 binary64)) z) (.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 #s(literal 15 binary64))))))
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Outputs

(*.f64 (PI.f64) (/.f64 (*.f64 #s(approx (* (+ (/ 3764081837873279/25000000000000000000000 (- (- 1 z) -7)) (+ (/ 2496092394504893/250000000000000000000 (- (- 1 z) -6)) (+ (/ -3464277381643003/25000000000000000 (- (- 1 z) -5)) (+ (/ 2501468655737381/200000000000000 (- (- 1 z) -4)) (+ (/ -883075145810703/5000000000000 (- (- 1 z) -3)) (+ (/ 7713234287776531/10000000000000 (- (- 1 z) -2)) (+ (+ (/ -3147848041806007/2500000000000 (- (- 1 z) -1)) 9999999999998099/10000000000000000) (/ 6765203681218851/10000000000000 (- 1 z))))))))) (sqrt (* 2 (PI)))) (fma.f64 (fma.f64 (*.f64 #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64) z) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (PI.f64)))) z (*.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (PI.f64))))) #s(approx (exp (+ (* (- (- 1 z) 1/2) (log (+ 1 (- (neg z) -13/2)))) (+ -1 (+ -13/2 z)))) (exp.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) z) (log.f64 (-.f64 #s(literal 15/2 binary64) z)) (-.f64 z #s(literal 15/2 binary64)))))) (sin.f64 (*.f64 z (PI.f64)))))

Calls

2 calls:

14.0ms

(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))

12.0ms

Results

Accuracy	Segments	Branch
98.1%	1	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
98.1%	1	`z`

Compiler

Compiled 124 to 61 computations (50.8% saved)

regimes32.0ms (0.1%)

Memory

-15.7MiB live, 62.9MiB allocated

Counts

40 → 1

Calls

Call 1

Inputs
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (sqrt.f64 (PI.f64)) (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (/.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (exp.f64 #s(literal 15/2 binary64)) z)))))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 #s(literal 15 binary64))) (*.f64 (exp.f64 #s(literal 15/2 binary64)) z))))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (/.f64 (sqrt.f64 #s(literal 15 binary64)) (.f64 (exp.f64 #s(literal 15/2 binary64)) z)) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64)))))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (/.f64 (.f64 (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 #s(literal 15 binary64))) (*.f64 (exp.f64 #s(literal 15/2 binary64)) z)))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) #s(approx (* (sqrt (PI)) (* 1106209385320415913103082059/4200000000000000000000000 (/ (sqrt 15) (* (exp 15/2) z)))) (.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (/.f64 (/.f64 (sqrt.f64 #s(literal 15 binary64)) z) (exp.f64 #s(literal 15/2 binary64))))))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (sqrt.f64 (PI.f64)) (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 15 binary64)) (exp.f64 #s(literal 15/2 binary64))) z))))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (sqrt.f64 (PI.f64)) (.f64 (/.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) z) (/.f64 (sqrt.f64 #s(literal 15 binary64)) (exp.f64 #s(literal 15/2 binary64))))))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (/.f64 (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) z) (/.f64 (sqrt.f64 #s(literal 15 binary64)) (exp.f64 #s(literal 15/2 binary64)))))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (/.f64 (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (exp.f64 #s(literal 15/2 binary64))) (/.f64 (sqrt.f64 #s(literal 15 binary64)) z)))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (.f64 (neg.f64 (sqrt.f64 #s(literal 15 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 (exp.f64 #s(literal 15/2 binary64)) z))))))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (sqrt.f64 (PI.f64)) (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (exp.f64 #s(literal 15/2 binary64)) z) (sqrt.f64 #s(literal 15 binary64)))))))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (*.f64 (/.f64 (sqrt.f64 #s(literal 15 binary64)) (exp.f64 #s(literal 15/2 binary64))) (/.f64 #s(literal 1 binary64) z))))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (exp.f64 #s(literal 15/2 binary64)) z) (sqrt.f64 #s(literal 15 binary64))))))
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(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 #s(approx ( (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 #s(literal -15/2 binary64))) (sqrt.f64 (PI.f64)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) #s(literal 479507597606835099/10000000000000000 binary64)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) #s(approx (+ (- (- 1 z) 1) 3) (neg.f64 z)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
(.f64 (PI.f64) (/.f64 (.f64 #s(approx (* (+ (/ 3764081837873279/25000000000000000000000 (- (- 1 z) -7)) (+ (/ 2496092394504893/250000000000000000000 (- (- 1 z) -6)) (+ (/ -3464277381643003/25000000000000000 (- (- 1 z) -5)) (+ (/ 2501468655737381/200000000000000 (- (- 1 z) -4)) (+ (/ -883075145810703/5000000000000 (- (- 1 z) -3)) (+ (/ 7713234287776531/10000000000000 (- (- 1 z) -2)) (+ (+ (/ -3147848041806007/2500000000000 (- (- 1 z) -1)) 9999999999998099/10000000000000000) (/ 6765203681218851/10000000000000 (- 1 z))))))))) (sqrt (* 2 (PI)))) (fma.f64 (.f64 z (.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (PI.f64))))) #s(approx (exp (+ (* (- (- 1 z) 1/2) (log (+ 1 (- (neg z) -13/2)))) (+ -1 (+ -13/2 z)))) (exp.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) z) (log.f64 (-.f64 #s(literal 15/2 binary64) z)) (-.f64 z #s(literal 15/2 binary64)))))) (sin.f64 (*.f64 z (PI.f64)))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 #s(approx ( (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 #s(literal -15/2 binary64))) (sqrt.f64 (PI.f64)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) #s(literal 479507597606835099/10000000000000000 binary64)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
(.f64 (PI.f64) (/.f64 (.f64 #s(approx (* (+ (/ 3764081837873279/25000000000000000000000 (- (- 1 z) -7)) (+ (/ 2496092394504893/250000000000000000000 (- (- 1 z) -6)) (+ (/ -3464277381643003/25000000000000000 (- (- 1 z) -5)) (+ (/ 2501468655737381/200000000000000 (- (- 1 z) -4)) (+ (/ -883075145810703/5000000000000 (- (- 1 z) -3)) (+ (/ 7713234287776531/10000000000000 (- (- 1 z) -2)) (+ (+ (/ -3147848041806007/2500000000000 (- (- 1 z) -1)) 9999999999998099/10000000000000000) (/ 6765203681218851/10000000000000 (- 1 z))))))))) (sqrt (* 2 (PI)))) (fma.f64 (.f64 #s(literal 9999999999998099/10000000000000000 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (PI.f64)) (.f64 (.f64 #s(literal -611458333333720910362579/25000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) z)))) #s(approx (exp (+ ( (- (- 1 z) 1/2) (log (+ 1 (- (neg z) -13/2)))) (+ -1 (+ -13/2 z)))) (exp.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) z) (log.f64 (-.f64 #s(literal 15/2 binary64) z)) (-.f64 z #s(literal 15/2 binary64)))))) (sin.f64 (*.f64 z (PI.f64)))))
(.f64 (PI.f64) (/.f64 (.f64 #s(approx (* (+ (/ 3764081837873279/25000000000000000000000 (- (- 1 z) -7)) (+ (/ 2496092394504893/250000000000000000000 (- (- 1 z) -6)) (+ (/ -3464277381643003/25000000000000000 (- (- 1 z) -5)) (+ (/ 2501468655737381/200000000000000 (- (- 1 z) -4)) (+ (/ -883075145810703/5000000000000 (- (- 1 z) -3)) (+ (/ 7713234287776531/10000000000000 (- (- 1 z) -2)) (+ (+ (/ -3147848041806007/2500000000000 (- (- 1 z) -1)) 9999999999998099/10000000000000000) (/ 6765203681218851/10000000000000 (- 1 z))))))))) (sqrt (* 2 (PI)))) (fma.f64 (.f64 z (.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (PI.f64))))) (exp.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (log1p.f64 (-.f64 (neg.f64 z) #s(literal -13/2 binary64))) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z))))) (sin.f64 (*.f64 z (PI.f64)))))
(.f64 (PI.f64) (/.f64 (.f64 #s(approx (* (+ (/ 3764081837873279/25000000000000000000000 (- (- 1 z) -7)) (+ (/ 2496092394504893/250000000000000000000 (- (- 1 z) -6)) (+ (/ -3464277381643003/25000000000000000 (- (- 1 z) -5)) (+ (/ 2501468655737381/200000000000000 (- (- 1 z) -4)) (+ (/ -883075145810703/5000000000000 (- (- 1 z) -3)) (+ (/ 7713234287776531/10000000000000 (- (- 1 z) -2)) (+ (+ (/ -3147848041806007/2500000000000 (- (- 1 z) -1)) 9999999999998099/10000000000000000) (/ 6765203681218851/10000000000000 (- 1 z))))))))) (sqrt (* 2 (PI)))) (fma.f64 (.f64 #s(literal -611458333333720910362579/25000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) z) (.f64 (.f64 #s(literal 9999999999998099/10000000000000000 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (PI.f64))))) (exp.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (log1p.f64 (-.f64 (neg.f64 z) #s(literal -13/2 binary64))) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z))))) (sin.f64 (.f64 z (PI.f64)))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 #s(approx ( (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 #s(literal -15/2 binary64))) (sqrt.f64 (PI.f64)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 #s(approx ( (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 #s(literal -15/2 binary64))) (sqrt.f64 (PI.f64)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 3683516130645841/2000000000000 binary64) (.f64 z z))) (/.f64 #s(literal 5826188486005177/10000000000000 binary64) z))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))

Outputs

(*.f64 (PI.f64) (/.f64 (*.f64 #s(approx (* (+ (/ 3764081837873279/25000000000000000000000 (- (- 1 z) -7)) (+ (/ 2496092394504893/250000000000000000000 (- (- 1 z) -6)) (+ (/ -3464277381643003/25000000000000000 (- (- 1 z) -5)) (+ (/ 2501468655737381/200000000000000 (- (- 1 z) -4)) (+ (/ -883075145810703/5000000000000 (- (- 1 z) -3)) (+ (/ 7713234287776531/10000000000000 (- (- 1 z) -2)) (+ (+ (/ -3147848041806007/2500000000000 (- (- 1 z) -1)) 9999999999998099/10000000000000000) (/ 6765203681218851/10000000000000 (- 1 z))))))))) (sqrt (* 2 (PI)))) (fma.f64 (*.f64 z (*.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (PI.f64))))) #s(approx (exp (+ (* (- (- 1 z) 1/2) (log (+ 1 (- (neg z) -13/2)))) (+ -1 (+ -13/2 z)))) (exp.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) z) (log.f64 (-.f64 #s(literal 15/2 binary64) z)) (-.f64 z #s(literal 15/2 binary64)))))) (sin.f64 (*.f64 z (PI.f64)))))

Calls

2 calls:

14.0ms

(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))

13.0ms

Results

Accuracy	Segments	Branch
97.6%	1	`z`
97.6%	1	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))

Compiler

Compiled 124 to 61 computations (50.8% saved)

regimes25.0ms (0.1%)

Memory

10.4MiB live, 48.9MiB allocated

Counts

33 → 1

Calls

Call 1

Inputs
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (sqrt.f64 (PI.f64)) (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (/.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (exp.f64 #s(literal 15/2 binary64)) z)))))
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#s(approx (* (/ (PI) (sin (* (PI) z))) (* (exp (+ (* (log (* (PI) 2)) 1/2) (+ (* (log (- (- 1 z) -13/2)) (- (- 1 z) 1/2)) (neg (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (/.f64 (exp.f64 (fma.f64 (+.f64 (log.f64 (.f64 #s(literal 2 binary64) (PI.f64))) (log.f64 #s(literal 15/2 binary64))) #s(literal 1/2 binary64) #s(literal -15/2 binary64))) z) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (/.f64 (.f64 (.f64 (PI.f64) #s(literal 9999999999998099/10000000000000000 binary64)) (.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))))) (.f64 (sin.f64 (.f64 (PI.f64) z)) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (exp (+ (* (log (* (PI) 2)) 1/2) (+ (* (log (- (- 1 z) -13/2)) (- (- 1 z) 1/2)) (neg (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (.f64 #s(literal 9999999999998099/10000000000000000 binary64) (PI.f64)) (/.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (.f64 (exp.f64 (-.f64 #s(literal 15/2 binary64) z)) (sin.f64 (.f64 (PI.f64) z))))))
(.f64 (PI.f64) (/.f64 (.f64 #s(approx (* (+ (/ 3764081837873279/25000000000000000000000 (- (- 1 z) -7)) (+ (/ 2496092394504893/250000000000000000000 (- (- 1 z) -6)) (+ (/ -3464277381643003/25000000000000000 (- (- 1 z) -5)) (+ (/ 2501468655737381/200000000000000 (- (- 1 z) -4)) (+ (/ -883075145810703/5000000000000 (- (- 1 z) -3)) (+ (/ 7713234287776531/10000000000000 (- (- 1 z) -2)) (+ (+ (/ -3147848041806007/2500000000000 (- (- 1 z) -1)) 9999999999998099/10000000000000000) (/ 6765203681218851/10000000000000 (- 1 z))))))))) (sqrt (* 2 (PI)))) (.f64 (.f64 #s(literal 9999999999998099/10000000000000000 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (PI.f64)))) #s(approx (exp (+ (* (- (- 1 z) 1/2) (log (+ 1 (- (neg z) -13/2)))) (+ -1 (+ -13/2 z)))) (exp.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) z) (log.f64 (-.f64 #s(literal 15/2 binary64) z)) (-.f64 z #s(literal 15/2 binary64)))))) (sin.f64 (*.f64 z (PI.f64)))))
(.f64 (PI.f64) (/.f64 (.f64 #s(approx (* (+ (/ 3764081837873279/25000000000000000000000 (- (- 1 z) -7)) (+ (/ 2496092394504893/250000000000000000000 (- (- 1 z) -6)) (+ (/ -3464277381643003/25000000000000000 (- (- 1 z) -5)) (+ (/ 2501468655737381/200000000000000 (- (- 1 z) -4)) (+ (/ -883075145810703/5000000000000 (- (- 1 z) -3)) (+ (/ 7713234287776531/10000000000000 (- (- 1 z) -2)) (+ (+ (/ -3147848041806007/2500000000000 (- (- 1 z) -1)) 9999999999998099/10000000000000000) (/ 6765203681218851/10000000000000 (- 1 z))))))))) (sqrt (* 2 (PI)))) (.f64 (.f64 #s(literal 9999999999998099/10000000000000000 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (PI.f64)))) (exp.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (log1p.f64 (-.f64 (neg.f64 z) #s(literal -13/2 binary64))) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z))))) (sin.f64 (*.f64 z (PI.f64)))))
(.f64 (PI.f64) (/.f64 (.f64 #s(approx (* (+ (/ 3764081837873279/25000000000000000000000 (- (- 1 z) -7)) (+ (/ 2496092394504893/250000000000000000000 (- (- 1 z) -6)) (+ (/ -3464277381643003/25000000000000000 (- (- 1 z) -5)) (+ (/ 2501468655737381/200000000000000 (- (- 1 z) -4)) (+ (/ -883075145810703/5000000000000 (- (- 1 z) -3)) (+ (/ 7713234287776531/10000000000000 (- (- 1 z) -2)) (+ (+ (/ -3147848041806007/2500000000000 (- (- 1 z) -1)) 9999999999998099/10000000000000000) (/ 6765203681218851/10000000000000 (- 1 z))))))))) (sqrt (* 2 (PI)))) (.f64 (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (PI.f64)))) (exp.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (log1p.f64 (-.f64 (neg.f64 z) #s(literal -13/2 binary64))) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z))))) (sin.f64 (*.f64 z (PI.f64)))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 #s(approx ( (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (.f64 (.f64 (exp.f64 #s(literal -15/2 binary64)) (sqrt.f64 #s(literal 15 binary64))) (sqrt.f64 (PI.f64)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) #s(literal 479507597606835099/10000000000000000 binary64)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 #s(approx ( (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 #s(literal -15/2 binary64))) (sqrt.f64 (PI.f64)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) #s(literal 479507597606835099/10000000000000000 binary64)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) #s(approx (+ (- (- 1 z) 1) 3) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 #s(approx ( (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 #s(literal -15/2 binary64))) (sqrt.f64 (PI.f64)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) #s(literal 479507597606835099/10000000000000000 binary64)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) #s(approx (+ (- (- 1 z) 1) 4) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 #s(approx ( (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 #s(literal -15/2 binary64))) (sqrt.f64 (PI.f64)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) #s(literal 479507597606835099/10000000000000000 binary64)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) #s(approx (+ (- (- 1 z) 1) 3) (neg.f64 z)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))

Outputs

(*.f64 (PI.f64) (/.f64 (*.f64 #s(approx (* (+ (/ 3764081837873279/25000000000000000000000 (- (- 1 z) -7)) (+ (/ 2496092394504893/250000000000000000000 (- (- 1 z) -6)) (+ (/ -3464277381643003/25000000000000000 (- (- 1 z) -5)) (+ (/ 2501468655737381/200000000000000 (- (- 1 z) -4)) (+ (/ -883075145810703/5000000000000 (- (- 1 z) -3)) (+ (/ 7713234287776531/10000000000000 (- (- 1 z) -2)) (+ (+ (/ -3147848041806007/2500000000000 (- (- 1 z) -1)) 9999999999998099/10000000000000000) (/ 6765203681218851/10000000000000 (- 1 z))))))))) (sqrt (* 2 (PI)))) (*.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (PI.f64)))) (exp.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (log1p.f64 (-.f64 (neg.f64 z) #s(literal -13/2 binary64))) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z))))) (sin.f64 (*.f64 z (PI.f64)))))

Calls

2 calls:

12.0ms

(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))

9.0ms

Results

Accuracy	Segments	Branch
97.4%	1	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
97.4%	1	`z`

Compiler

Compiled 124 to 61 computations (50.8% saved)

regimes27.0ms (0.1%)

Memory

5.2MiB live, 43.8MiB allocated

Counts

28 → 1

Calls

Call 1

Inputs
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#s(approx (* (/ (PI) (sin (* (PI) z))) (* (exp (+ (* (log (* (PI) 2)) 1/2) (+ (* (log (- (- 1 z) -13/2)) (- (- 1 z) 1/2)) (neg (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (/.f64 (exp.f64 (fma.f64 (+.f64 (log.f64 (.f64 #s(literal 2 binary64) (PI.f64))) (log.f64 #s(literal 15/2 binary64))) #s(literal 1/2 binary64) #s(literal -15/2 binary64))) z) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (/.f64 (.f64 (.f64 (PI.f64) #s(literal 9999999999998099/10000000000000000 binary64)) (.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))))) (.f64 (sin.f64 (.f64 (PI.f64) z)) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (exp (+ (* (log (* (PI) 2)) 1/2) (+ (* (log (- (- 1 z) -13/2)) (- (- 1 z) 1/2)) (neg (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (.f64 #s(literal 9999999999998099/10000000000000000 binary64) (PI.f64)) (/.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (.f64 (exp.f64 (-.f64 #s(literal 15/2 binary64) z)) (sin.f64 (.f64 (PI.f64) z))))))
(.f64 (PI.f64) (/.f64 (.f64 #s(approx (* (+ (/ 3764081837873279/25000000000000000000000 (- (- 1 z) -7)) (+ (/ 2496092394504893/250000000000000000000 (- (- 1 z) -6)) (+ (/ -3464277381643003/25000000000000000 (- (- 1 z) -5)) (+ (/ 2501468655737381/200000000000000 (- (- 1 z) -4)) (+ (/ -883075145810703/5000000000000 (- (- 1 z) -3)) (+ (/ 7713234287776531/10000000000000 (- (- 1 z) -2)) (+ (+ (/ -3147848041806007/2500000000000 (- (- 1 z) -1)) 9999999999998099/10000000000000000) (/ 6765203681218851/10000000000000 (- 1 z))))))))) (sqrt (* 2 (PI)))) (.f64 (.f64 #s(literal 9999999999998099/10000000000000000 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (PI.f64)))) #s(approx (exp (+ (* (- (- 1 z) 1/2) (log (+ 1 (- (neg z) -13/2)))) (+ -1 (+ -13/2 z)))) (exp.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) z) (log.f64 (-.f64 #s(literal 15/2 binary64) z)) (-.f64 z #s(literal 15/2 binary64)))))) (sin.f64 (*.f64 z (PI.f64)))))
(.f64 (PI.f64) (/.f64 (.f64 #s(approx (* (+ (/ 3764081837873279/25000000000000000000000 (- (- 1 z) -7)) (+ (/ 2496092394504893/250000000000000000000 (- (- 1 z) -6)) (+ (/ -3464277381643003/25000000000000000 (- (- 1 z) -5)) (+ (/ 2501468655737381/200000000000000 (- (- 1 z) -4)) (+ (/ -883075145810703/5000000000000 (- (- 1 z) -3)) (+ (/ 7713234287776531/10000000000000 (- (- 1 z) -2)) (+ (+ (/ -3147848041806007/2500000000000 (- (- 1 z) -1)) 9999999999998099/10000000000000000) (/ 6765203681218851/10000000000000 (- 1 z))))))))) (sqrt (* 2 (PI)))) (.f64 (.f64 #s(literal 9999999999998099/10000000000000000 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (PI.f64)))) (exp.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (log1p.f64 (-.f64 (neg.f64 z) #s(literal -13/2 binary64))) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z))))) (sin.f64 (*.f64 z (PI.f64)))))

Outputs

#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (exp.f64 #s(literal 15/2 binary64)) z))))

Calls

2 calls:

14.0ms

9.0ms

(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))

Results

Accuracy	Segments	Branch
97.1%	1	`z`
97.1%	1	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))

Compiler

Compiled 124 to 61 computations (50.8% saved)

regimes19.0ms (0.1%)

Memory

-7.7MiB live, 34.3MiB allocated

Counts

21 → 1

Calls

Call 1

Inputs
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (sqrt.f64 (PI.f64)) (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (/.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (exp.f64 #s(literal 15/2 binary64)) z)))))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 #s(literal 15 binary64))) (*.f64 (exp.f64 #s(literal 15/2 binary64)) z))))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (/.f64 (sqrt.f64 #s(literal 15 binary64)) (.f64 (exp.f64 #s(literal 15/2 binary64)) z)) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64)))))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (/.f64 (.f64 (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 #s(literal 15 binary64))) (*.f64 (exp.f64 #s(literal 15/2 binary64)) z)))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) #s(approx (* (sqrt (PI)) (* 1106209385320415913103082059/4200000000000000000000000 (/ (sqrt 15) (* (exp 15/2) z)))) (.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (/.f64 (/.f64 (sqrt.f64 #s(literal 15 binary64)) z) (exp.f64 #s(literal 15/2 binary64))))))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (sqrt.f64 (PI.f64)) (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 15 binary64)) (exp.f64 #s(literal 15/2 binary64))) z))))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (sqrt.f64 (PI.f64)) (.f64 (/.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) z) (/.f64 (sqrt.f64 #s(literal 15 binary64)) (exp.f64 #s(literal 15/2 binary64))))))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (/.f64 (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) z) (/.f64 (sqrt.f64 #s(literal 15 binary64)) (exp.f64 #s(literal 15/2 binary64)))))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (/.f64 (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (exp.f64 #s(literal 15/2 binary64))) (/.f64 (sqrt.f64 #s(literal 15 binary64)) z)))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (.f64 (neg.f64 (sqrt.f64 #s(literal 15 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 (exp.f64 #s(literal 15/2 binary64)) z))))))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (sqrt.f64 (PI.f64)) (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (exp.f64 #s(literal 15/2 binary64)) z) (sqrt.f64 #s(literal 15 binary64)))))))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (*.f64 (/.f64 (sqrt.f64 #s(literal 15 binary64)) (exp.f64 #s(literal 15/2 binary64))) (/.f64 #s(literal 1 binary64) z))))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (exp.f64 #s(literal 15/2 binary64)) z) (sqrt.f64 #s(literal 15 binary64))))))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (exp.f64 #s(literal 15/2 binary64)) z) (.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 #s(literal 15 binary64))))))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (exp (+ (* (log (* (PI) 2)) 1/2) (+ (* (log (- (- 1 z) -13/2)) (- (- 1 z) 1/2)) (neg (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) #s(approx (* (* 9999999999998099/10000000000000000 (PI)) (/ (* (pow (* 2 (PI)) 1/2) (pow (- 15/2 z) (- 1/2 z))) (* (exp (- 15/2 z)) (sin (* (PI) z))))) (.f64 (.f64 #s(literal 9999999999998099/10000000000000000 binary64) (sqrt.f64 (PI.f64))) (/.f64 (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (exp.f64 #s(literal 15/2 binary64)) z)))))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (exp.f64 #s(literal 15/2 binary64)) z)))))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (exp.f64 #s(literal 15/2 binary64)) z))))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 (sqrt.f64 #s(literal 15 binary64)) (exp.f64 #s(literal 15/2 binary64)))))))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (*.f64 (/.f64 (sqrt.f64 #s(literal 15/2 binary64)) (exp.f64 #s(literal 15/2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) z))))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (exp.f64 #s(literal 15/2 binary64)) z) (sqrt.f64 #s(literal 2 binary64)))))))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (/.f64 (sqrt.f64 #s(literal 15 binary64)) (.f64 (exp.f64 #s(literal 15/2 binary64)) z)))))

Outputs

#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (*.f64 (/.f64 (sqrt.f64 #s(literal 15/2 binary64)) (exp.f64 #s(literal 15/2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) z))))

Calls

2 calls:

8.0ms

7.0ms

(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))

Results

Accuracy	Segments	Branch
97.1%	1	`z`
97.1%	1	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))

Compiler

Compiled 124 to 61 computations (50.8% saved)

regimes16.0ms (0.1%)

Memory

-0.7MiB live, 37.8MiB allocated

Counts

18 → 1

Calls

Call 1

Inputs
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (sqrt.f64 (PI.f64)) (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (/.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (exp.f64 #s(literal 15/2 binary64)) z)))))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 #s(literal 15 binary64))) (*.f64 (exp.f64 #s(literal 15/2 binary64)) z))))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (/.f64 (sqrt.f64 #s(literal 15 binary64)) (.f64 (exp.f64 #s(literal 15/2 binary64)) z)) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64)))))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (/.f64 (.f64 (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 #s(literal 15 binary64))) (*.f64 (exp.f64 #s(literal 15/2 binary64)) z)))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) #s(approx (* (sqrt (PI)) (* 1106209385320415913103082059/4200000000000000000000000 (/ (sqrt 15) (* (exp 15/2) z)))) (.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (/.f64 (/.f64 (sqrt.f64 #s(literal 15 binary64)) z) (exp.f64 #s(literal 15/2 binary64))))))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (sqrt.f64 (PI.f64)) (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 15 binary64)) (exp.f64 #s(literal 15/2 binary64))) z))))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (sqrt.f64 (PI.f64)) (.f64 (/.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) z) (/.f64 (sqrt.f64 #s(literal 15 binary64)) (exp.f64 #s(literal 15/2 binary64))))))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (/.f64 (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) z) (/.f64 (sqrt.f64 #s(literal 15 binary64)) (exp.f64 #s(literal 15/2 binary64)))))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (/.f64 (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (exp.f64 #s(literal 15/2 binary64))) (/.f64 (sqrt.f64 #s(literal 15 binary64)) z)))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (.f64 (neg.f64 (sqrt.f64 #s(literal 15 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 (exp.f64 #s(literal 15/2 binary64)) z))))))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (sqrt.f64 (PI.f64)) (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (exp.f64 #s(literal 15/2 binary64)) z) (sqrt.f64 #s(literal 15 binary64)))))))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (*.f64 (/.f64 (sqrt.f64 #s(literal 15 binary64)) (exp.f64 #s(literal 15/2 binary64))) (/.f64 #s(literal 1 binary64) z))))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (exp.f64 #s(literal 15/2 binary64)) z) (sqrt.f64 #s(literal 15 binary64))))))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (exp.f64 #s(literal 15/2 binary64)) z) (.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 #s(literal 15 binary64))))))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (exp (+ (* (log (* (PI) 2)) 1/2) (+ (* (log (- (- 1 z) -13/2)) (- (- 1 z) 1/2)) (neg (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) #s(approx (* (* 9999999999998099/10000000000000000 (PI)) (/ (* (pow (* 2 (PI)) 1/2) (pow (- 15/2 z) (- 1/2 z))) (* (exp (- 15/2 z)) (sin (* (PI) z))))) (.f64 (.f64 #s(literal 9999999999998099/10000000000000000 binary64) (sqrt.f64 (PI.f64))) (/.f64 (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (exp.f64 #s(literal 15/2 binary64)) z)))))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (exp.f64 #s(literal 15/2 binary64)) z)))))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (exp.f64 #s(literal 15/2 binary64)) z))))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 (sqrt.f64 #s(literal 15 binary64)) (exp.f64 #s(literal 15/2 binary64)))))))

Outputs

#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (*.f64 (/.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (exp.f64 #s(literal 15/2 binary64))) (/.f64 (sqrt.f64 #s(literal 15 binary64)) z)))

Calls

2 calls:

7.0ms

(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))

Results

Accuracy	Segments	Branch
96.9%	1	`z`
96.9%	1	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))

Compiler

Compiled 124 to 61 computations (50.8% saved)

regimes9.0ms (0%)

Memory

26.1MiB live, 26.1MiB allocated

Counts

8 → 1

Calls

Call 1

Inputs
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (sqrt.f64 (PI.f64)) (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (/.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (exp.f64 #s(literal 15/2 binary64)) z)))))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 #s(literal 15 binary64))) (*.f64 (exp.f64 #s(literal 15/2 binary64)) z))))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (/.f64 (sqrt.f64 #s(literal 15 binary64)) (.f64 (exp.f64 #s(literal 15/2 binary64)) z)) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64)))))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (/.f64 (.f64 (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 #s(literal 15 binary64))) (*.f64 (exp.f64 #s(literal 15/2 binary64)) z)))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) #s(approx (* (sqrt (PI)) (* 1106209385320415913103082059/4200000000000000000000000 (/ (sqrt 15) (* (exp 15/2) z)))) (.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (/.f64 (/.f64 (sqrt.f64 #s(literal 15 binary64)) z) (exp.f64 #s(literal 15/2 binary64))))))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (sqrt.f64 (PI.f64)) (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 15 binary64)) (exp.f64 #s(literal 15/2 binary64))) z))))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (sqrt.f64 (PI.f64)) (.f64 (/.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) z) (/.f64 (sqrt.f64 #s(literal 15 binary64)) (exp.f64 #s(literal 15/2 binary64))))))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (/.f64 (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) z) (/.f64 (sqrt.f64 #s(literal 15 binary64)) (exp.f64 #s(literal 15/2 binary64)))))

Outputs

#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 15 binary64)) (exp.f64 #s(literal 15/2 binary64))) z))))

Calls

2 calls:

4.0ms

(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))

3.0ms

Results

Accuracy	Segments	Branch
96.7%	1	`z`
96.7%	1	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))

Compiler

Compiled 124 to 61 computations (50.8% saved)

regimes9.0ms (0%)

Memory

-16.1MiB live, 22.1MiB allocated

Counts

5 → 1

Calls

Call 1

Inputs
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (sqrt.f64 (PI.f64)) (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (/.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (exp.f64 #s(literal 15/2 binary64)) z)))))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 #s(literal 15 binary64))) (*.f64 (exp.f64 #s(literal 15/2 binary64)) z))))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (/.f64 (sqrt.f64 #s(literal 15 binary64)) (.f64 (exp.f64 #s(literal 15/2 binary64)) z)) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64)))))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (/.f64 (.f64 (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 #s(literal 15 binary64))) (*.f64 (exp.f64 #s(literal 15/2 binary64)) z)))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) #s(approx (* (sqrt (PI)) (* 1106209385320415913103082059/4200000000000000000000000 (/ (sqrt 15) (* (exp 15/2) z)))) (.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (/.f64 (/.f64 (sqrt.f64 #s(literal 15 binary64)) z) (exp.f64 #s(literal 15/2 binary64))))))

Outputs

#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (*.f64 (/.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (exp.f64 #s(literal 15/2 binary64)) z)) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64)))))

Calls

2 calls:

5.0ms

3.0ms

(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))

Results

Accuracy	Segments	Branch
96.6%	1	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
96.6%	1	`z`

Compiler

Compiled 124 to 61 computations (50.8% saved)

regimes5.0ms (0%)

Memory

16.3MiB live, 16.3MiB allocated

Accuracy

Total -0.2b remaining (-10.6%)

Threshold costs -0.2b (-10.6%)

Counts

2 → 1

Calls

Call 1

Inputs

#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (/.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (exp.f64 #s(literal 15/2 binary64)) z)))))

#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 #s(literal 15 binary64))) (*.f64 (exp.f64 #s(literal 15/2 binary64)) z))))

Outputs

#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (/.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (exp.f64 #s(literal 15/2 binary64)) z)))))

Calls

2 calls:

2.0ms

(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))

2.0ms

Results

Accuracy	Segments	Branch
96.5%	1	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
96.5%	1	`z`

Compiler

Compiled 124 to 61 computations (50.8% saved)

simplify42.0ms (0.2%)

Memory

-26.0MiB live, 95.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	238	1459
1	322	1459
2	359	1459
3	382	1459
4	394	1459
5	395	1459

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -5 binary64))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -4 binary64))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) (+.f64 (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) #s(literal 9999999999998099/10000000000000000 binary64)) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))))))) (.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64)))) (exp.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (log1p.f64 (-.f64 (neg.f64 z) #s(literal -13/2 binary64))) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z))))) (.f64 (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -7 binary64))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64)))) (.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))) (exp.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (log1p.f64 (-.f64 (neg.f64 z) #s(literal -13/2 binary64))) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z)))))))
(.f64 (PI.f64) (/.f64 (.f64 (.f64 (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -7 binary64))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -5 binary64))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) #s(approx (- (- 1 z) -4) (-.f64 #s(literal 5 binary64) z))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) (+.f64 (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) #s(literal 9999999999998099/10000000000000000 binary64)) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))))))))) (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64)))) #s(approx (exp (+ (* (- (- 1 z) 1/2) (log (+ 1 (- (neg z) -13/2)))) (+ -1 (+ -13/2 z)))) (exp.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) z) (log.f64 (-.f64 #s(literal 15/2 binary64) z)) (-.f64 z #s(literal 15/2 binary64)))))) (sin.f64 (*.f64 z (PI.f64)))))
(.f64 (PI.f64) (/.f64 (.f64 (.f64 (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -7 binary64))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -5 binary64))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -4 binary64))) #s(approx (+ (/ -883075145810703/5000000000000 (- (- 1 z) -3)) (+ (/ 7713234287776531/10000000000000 (- (- 1 z) -2)) (+ (+ (/ -3147848041806007/2500000000000 (- (- 1 z) -1)) 9999999999998099/10000000000000000) (/ 6765203681218851/10000000000000 (- 1 z))))) (fma.f64 (fma.f64 #s(literal 4708246094784852251/8640000000000000 binary64) z #s(literal 314207804027640689/720000000000000 binary64)) z #s(literal 7827144361880981797/30000000000000000 binary64))))))) (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64)))) (exp.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (log1p.f64 (-.f64 (neg.f64 z) #s(literal -13/2 binary64))) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z))))) (sin.f64 (*.f64 z (PI.f64)))))
(.f64 (PI.f64) (/.f64 (.f64 #s(approx (* (+ (/ 3764081837873279/25000000000000000000000 (- (- 1 z) -7)) (+ (/ 2496092394504893/250000000000000000000 (- (- 1 z) -6)) (+ (/ -3464277381643003/25000000000000000 (- (- 1 z) -5)) (+ (/ 2501468655737381/200000000000000 (- (- 1 z) -4)) (+ (/ -883075145810703/5000000000000 (- (- 1 z) -3)) (+ (/ 7713234287776531/10000000000000 (- (- 1 z) -2)) (+ (+ (/ -3147848041806007/2500000000000 (- (- 1 z) -1)) 9999999999998099/10000000000000000) (/ 6765203681218851/10000000000000 (- 1 z))))))))) (sqrt (* 2 (PI)))) (fma.f64 (fma.f64 (.f64 #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64) z) (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (PI.f64)))) z (.f64 (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (PI.f64))))) #s(approx (exp (+ (* (- (- 1 z) 1/2) (log (+ 1 (- (neg z) -13/2)))) (+ -1 (+ -13/2 z)))) (exp.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) z) (log.f64 (-.f64 #s(literal 15/2 binary64) z)) (-.f64 z #s(literal 15/2 binary64)))))) (sin.f64 (*.f64 z (PI.f64)))))
(.f64 (PI.f64) (/.f64 (.f64 #s(approx (* (+ (/ 3764081837873279/25000000000000000000000 (- (- 1 z) -7)) (+ (/ 2496092394504893/250000000000000000000 (- (- 1 z) -6)) (+ (/ -3464277381643003/25000000000000000 (- (- 1 z) -5)) (+ (/ 2501468655737381/200000000000000 (- (- 1 z) -4)) (+ (/ -883075145810703/5000000000000 (- (- 1 z) -3)) (+ (/ 7713234287776531/10000000000000 (- (- 1 z) -2)) (+ (+ (/ -3147848041806007/2500000000000 (- (- 1 z) -1)) 9999999999998099/10000000000000000) (/ 6765203681218851/10000000000000 (- 1 z))))))))) (sqrt (* 2 (PI)))) (fma.f64 (.f64 z (.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (PI.f64))))) #s(approx (exp (+ (* (- (- 1 z) 1/2) (log (+ 1 (- (neg z) -13/2)))) (+ -1 (+ -13/2 z)))) (exp.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) z) (log.f64 (-.f64 #s(literal 15/2 binary64) z)) (-.f64 z #s(literal 15/2 binary64)))))) (sin.f64 (*.f64 z (PI.f64)))))
(.f64 (PI.f64) (/.f64 (.f64 #s(approx (* (+ (/ 3764081837873279/25000000000000000000000 (- (- 1 z) -7)) (+ (/ 2496092394504893/250000000000000000000 (- (- 1 z) -6)) (+ (/ -3464277381643003/25000000000000000 (- (- 1 z) -5)) (+ (/ 2501468655737381/200000000000000 (- (- 1 z) -4)) (+ (/ -883075145810703/5000000000000 (- (- 1 z) -3)) (+ (/ 7713234287776531/10000000000000 (- (- 1 z) -2)) (+ (+ (/ -3147848041806007/2500000000000 (- (- 1 z) -1)) 9999999999998099/10000000000000000) (/ 6765203681218851/10000000000000 (- 1 z))))))))) (sqrt (* 2 (PI)))) (.f64 (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (PI.f64)))) (exp.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (log1p.f64 (-.f64 (neg.f64 z) #s(literal -13/2 binary64))) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z))))) (sin.f64 (*.f64 z (PI.f64)))))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (.f64 (.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (exp.f64 #s(literal 15/2 binary64)) z))))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (*.f64 (/.f64 (sqrt.f64 #s(literal 15/2 binary64)) (exp.f64 #s(literal 15/2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) z))))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (/.f64 (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (exp.f64 #s(literal 15/2 binary64))) (/.f64 (sqrt.f64 #s(literal 15 binary64)) z)))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (sqrt.f64 (PI.f64)) (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 15 binary64)) (exp.f64 #s(literal 15/2 binary64))) z))))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (/.f64 (sqrt.f64 #s(literal 15 binary64)) (.f64 (exp.f64 #s(literal 15/2 binary64)) z)) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64)))))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (sqrt.f64 (PI.f64)) (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (/.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (exp.f64 #s(literal 15/2 binary64)) z)))))

Outputs
(fma.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -4 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -5 binary64)))) (.f64 (exp.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (log1p.f64 (-.f64 (neg.f64 z) #s(literal -13/2 binary64))) (+.f64 (+.f64 #s(literal -13/2 binary64) z) #s(literal -1 binary64)))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))))) (.f64 (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -7 binary64)))) (.f64 (exp.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (log1p.f64 (-.f64 (neg.f64 z) #s(literal -13/2 binary64))) (+.f64 (+.f64 #s(literal -13/2 binary64) z) #s(literal -1 binary64)))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))))
(.f64 (/.f64 (.f64 #s(approx (exp (+ (* (- (- 1 z) 1/2) (log (+ 1 (- (neg z) -13/2)))) (+ -1 (+ -13/2 z)))) (exp.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) z) (log.f64 (-.f64 #s(literal 15/2 binary64) z)) (-.f64 z #s(literal 15/2 binary64))))) (.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) #s(approx (- (- 1 z) -4) (-.f64 #s(literal 5 binary64) z))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64))))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -5 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -7 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))))) (sin.f64 (*.f64 (PI.f64) z))) (PI.f64))
(.f64 (/.f64 (.f64 (.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(approx (+ (/ -883075145810703/5000000000000 (- (- 1 z) -3)) (+ (/ 7713234287776531/10000000000000 (- (- 1 z) -2)) (+ (+ (/ -3147848041806007/2500000000000 (- (- 1 z) -1)) 9999999999998099/10000000000000000) (/ 6765203681218851/10000000000000 (- 1 z))))) (fma.f64 (fma.f64 #s(literal 4708246094784852251/8640000000000000 binary64) z #s(literal 314207804027640689/720000000000000 binary64)) z #s(literal 7827144361880981797/30000000000000000 binary64))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -4 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -5 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -7 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64)))) (exp.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (log1p.f64 (-.f64 (neg.f64 z) #s(literal -13/2 binary64))) (+.f64 (+.f64 #s(literal -13/2 binary64) z) #s(literal -1 binary64))))) (sin.f64 (*.f64 (PI.f64) z))) (PI.f64))
(.f64 (/.f64 (.f64 #s(approx (* (+ (/ 3764081837873279/25000000000000000000000 (- (- 1 z) -7)) (+ (/ 2496092394504893/250000000000000000000 (- (- 1 z) -6)) (+ (/ -3464277381643003/25000000000000000 (- (- 1 z) -5)) (+ (/ 2501468655737381/200000000000000 (- (- 1 z) -4)) (+ (/ -883075145810703/5000000000000 (- (- 1 z) -3)) (+ (/ 7713234287776531/10000000000000 (- (- 1 z) -2)) (+ (+ (/ -3147848041806007/2500000000000 (- (- 1 z) -1)) 9999999999998099/10000000000000000) (/ 6765203681218851/10000000000000 (- 1 z))))))))) (sqrt (* 2 (PI)))) (fma.f64 (fma.f64 (.f64 #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64) z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (PI.f64))) (.f64 (.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (PI.f64)))) z (.f64 (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (PI.f64))))) #s(approx (exp (+ (* (- (- 1 z) 1/2) (log (+ 1 (- (neg z) -13/2)))) (+ -1 (+ -13/2 z)))) (exp.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) z) (log.f64 (-.f64 #s(literal 15/2 binary64) z)) (-.f64 z #s(literal 15/2 binary64)))))) (sin.f64 (*.f64 (PI.f64) z))) (PI.f64))
(.f64 (/.f64 (.f64 #s(approx (* (+ (/ 3764081837873279/25000000000000000000000 (- (- 1 z) -7)) (+ (/ 2496092394504893/250000000000000000000 (- (- 1 z) -6)) (+ (/ -3464277381643003/25000000000000000 (- (- 1 z) -5)) (+ (/ 2501468655737381/200000000000000 (- (- 1 z) -4)) (+ (/ -883075145810703/5000000000000 (- (- 1 z) -3)) (+ (/ 7713234287776531/10000000000000 (- (- 1 z) -2)) (+ (+ (/ -3147848041806007/2500000000000 (- (- 1 z) -1)) 9999999999998099/10000000000000000) (/ 6765203681218851/10000000000000 (- 1 z))))))))) (sqrt (* 2 (PI)))) (fma.f64 (.f64 (.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) z) (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (PI.f64))))) #s(approx (exp (+ (* (- (- 1 z) 1/2) (log (+ 1 (- (neg z) -13/2)))) (+ -1 (+ -13/2 z)))) (exp.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) z) (log.f64 (-.f64 #s(literal 15/2 binary64) z)) (-.f64 z #s(literal 15/2 binary64)))))) (sin.f64 (*.f64 (PI.f64) z))) (PI.f64))
(.f64 (/.f64 (.f64 #s(approx (* (+ (/ 3764081837873279/25000000000000000000000 (- (- 1 z) -7)) (+ (/ 2496092394504893/250000000000000000000 (- (- 1 z) -6)) (+ (/ -3464277381643003/25000000000000000 (- (- 1 z) -5)) (+ (/ 2501468655737381/200000000000000 (- (- 1 z) -4)) (+ (/ -883075145810703/5000000000000 (- (- 1 z) -3)) (+ (/ 7713234287776531/10000000000000 (- (- 1 z) -2)) (+ (+ (/ -3147848041806007/2500000000000 (- (- 1 z) -1)) 9999999999998099/10000000000000000) (/ 6765203681218851/10000000000000 (- 1 z))))))))) (sqrt (* 2 (PI)))) (.f64 (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (PI.f64)))) (exp.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (log1p.f64 (-.f64 (neg.f64 z) #s(literal -13/2 binary64))) (+.f64 (+.f64 #s(literal -13/2 binary64) z) #s(literal -1 binary64))))) (sin.f64 (*.f64 (PI.f64) z))) (PI.f64))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (exp.f64 #s(literal 15/2 binary64)) z)) (.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) z) (/.f64 (sqrt.f64 #s(literal 15/2 binary64)) (exp.f64 #s(literal 15/2 binary64))))))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (/.f64 (sqrt.f64 #s(literal 15 binary64)) z) (/.f64 (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (exp.f64 #s(literal 15/2 binary64)))))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 15 binary64)) (exp.f64 #s(literal 15/2 binary64))) z) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (sqrt.f64 (PI.f64))))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (/.f64 (sqrt.f64 #s(literal 15 binary64)) (.f64 (exp.f64 #s(literal 15/2 binary64)) z)) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64)))))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (/ (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (- (- 1 z) -13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (exp.f64 #s(literal 15/2 binary64)) z)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (sqrt.f64 (PI.f64))))

soundness1.4s (5.8%)

Memory

17.1MiB live, 1 163.6MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	480	5414
1	1609	5187
2	5753	5072
0	8049	4838
0	27	87
0	46	71
1	236	62
2	2115	62
0	8507	62
0	181	907
0	296	796
1	1363	796
0	8100	796
0	119	553
0	198	467
1	824	431
0	8247	424
0	172	668
0	258	609
1	1329	609
0	8028	609
0	445	5400
1	1453	5178
2	4729	5114
0	9433	4914
0	876	9368
1	2938	8937
0	8724	8551

Stop Event

1×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit

Compiler

Compiled 4 390 to 1 910 computations (56.5% saved)

preprocess127.0ms (0.5%)

Memory: 36.3MiB live, 184.9MiB allocated
Compiler: Compiled 3 164 to 636 computations (79.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze596.0ms (2.5%)

sample9.2s (38.4%)

explain2.3s (9.5%)

preprocess173.0ms (0.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify165.0ms (0.7%)

localize376.0ms (1.6%)

series41.0ms (0.2%)

simplify185.0ms (0.8%)

rewrite198.0ms (0.8%)

eval356.0ms (1.5%)

prune162.0ms (0.7%)

simplify225.0ms (0.9%)

localize1.6s (6.5%)

series80.0ms (0.3%)

simplify169.0ms (0.7%)

rewrite248.0ms (1%)

eval1.2s (4.9%)

prune176.0ms (0.7%)

simplify148.0ms (0.6%)

localize1.0s (4.2%)

series80.0ms (0.3%)

simplify220.0ms (0.9%)

rewrite184.0ms (0.8%)

eval525.0ms (2.2%)

prune275.0ms (1.1%)

simplify130.0ms (0.5%)

localize1.0s (4.3%)

series52.0ms (0.2%)

simplify236.0ms (1%)

rewrite250.0ms (1%)

eval234.0ms (1%)

prune300.0ms (1.3%)

regimes77.0ms (0.3%)

regimes96.0ms (0.4%)

regimes44.0ms (0.2%)

regimes34.0ms (0.1%)

regimes32.0ms (0.1%)

regimes25.0ms (0.1%)

regimes27.0ms (0.1%)

regimes19.0ms (0.1%)

regimes16.0ms (0.1%)

regimes9.0ms (0%)

regimes9.0ms (0%)

regimes5.0ms (0%)

simplify42.0ms (0.2%)

soundness1.4s (5.8%)

preprocess127.0ms (0.5%)

end0.0ms (0%)

Profiling