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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze653.0ms (0.5%)

Memory

30.5MiB live, 906.2MiB 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 62 computations (51.2% saved)

sample31.1s (21.5%)

Memory

141.2MiB live, 39 740.7MiB allocated

Samples

24.3s	3 961×	5	exit
4.7s	8 256×	0	valid
46.0ms	90×	0	exit

Precisions

Click to see histograms. Total time spent on operations: 28.1s

ival-sin: 18.6s (66.1% of total)

adjust: 3.0s (10.8% of total)

const: 2.0s (7.2% of total)

ival-add: 1.3s (4.7% of total)

ival-div: 1.1s (3.9% of total)

ival-mult: 832.0ms (3% of total)

ival-pow: 352.0ms (1.3% of total)

ival-pi: 227.0ms (0.8% of total)

ival-exp: 201.0ms (0.7% of total)

ival-sub: 171.0ms (0.6% of total)

ival-sqrt: 98.0ms (0.3% of total)

ival-<=: 66.0ms (0.2% of total)

exact: 60.0ms (0.2% of total)

ival-neg: 54.0ms (0.2% of total)

ival-assert: 6.0ms (0% of total)

Bogosity

explain1.5s (1%)

Memory

73.4MiB live, 3 157.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
251	1	(0.009075972518692185)	-	`(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))`
3	0	-	-	`(sin.f64 (*.f64 (PI.f64) z))`
3	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	22	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)))))`	*ou**	3	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	3
↳	`(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	3
↳	`(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	3
`sin.f64`	`(sin.f64 (*.f64 (PI.f64) z))`	sensitivity	3	0

Confusion

	Predicted +	Predicted -
+	3	0
-	22	231

Precision

0.12

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	3	0	0
-	22	0	231

Precision?

0.12

Recall?

1.0

Freqs

test

number	freq
0	231
1	22
2	3

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

418.0ms	314×	1	valid
236.0ms	146×	2	valid
33.0ms	52×	0	valid

Compiler

Compiled 1 914 to 184 computations (90.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 533.0ms

ival-div: 122.0ms (22.9% of total)

const: 110.0ms (20.6% of total)

ival-add: 87.0ms (16.3% of total)

adjust: 84.0ms (15.8% of total)

ival-mult: 41.0ms (7.7% of total)

ival-pow: 37.0ms (6.9% of total)

ival-exp: 13.0ms (2.4% of total)

ival-sub: 12.0ms (2.3% of total)

ival-sqrt: 7.0ms (1.3% of total)

ival-sin: 7.0ms (1.3% of total)

ival-pi: 5.0ms (0.9% of total)

ival-neg: 5.0ms (0.9% of total)

exact: 2.0ms (0.4% of total)

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

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

preprocess287.0ms (0.2%)

Memory

-10.7MiB live, 701.1MiB allocated

Algorithm

1×	egg-herbie

Rules

5 942×	`lower-fma.f64`
5 942×	`lower-fma.f32`
4 752×	`lower-*.f32`
4 740×	`lower-*.f64`
3 832×	`lower-+.f32`

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 (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 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (+.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 #s(literal 2 binary64) z)))) (+.f64 (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (+.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 (exp.f64 (+.f64 z #s(literal -15/2 binary64))) (PI.f64))) (sin.f64 (*.f64 (PI.f64) z)))

Compiler

Compiled 124 to 60 computations (51.6% saved)

eval0.0ms (0%)

Memory: 0.6MiB live, 0.6MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

4.0MiB live, 4.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.2%	(.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

▶

96.2%

(*.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 60 computations (51.6% saved)

simplify261.0ms (0.2%)

Memory

-38.7MiB live, 636.4MiB 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))

Rules

5 942×	`lower-fma.f64`
5 942×	`lower-fma.f32`
4 752×	`lower-*.f32`
4 740×	`lower-*.f64`
3 832×	`lower-+.f32`

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

localize423.0ms (0.3%)

Memory

15.7MiB live, 957.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	1.0	(sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))
accuracy	1.5631637695368839	(.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	2.751374108965625	(+.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	57.6080755812429	(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))

Samples

190.0ms	157×	1	valid
117.0ms	73×	2	valid
13.0ms	26×	0	valid

Compiler

Compiled 895 to 62 computations (93.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 271.0ms

const: 78.0ms (28.8% of total)

adjust: 63.0ms (23.3% of total)

ival-add: 44.0ms (16.3% of total)

ival-div: 29.0ms (10.7% of total)

ival-mult: 19.0ms (7% of total)

ival-pow: 12.0ms (4.4% of total)

ival-exp: 6.0ms (2.2% of total)

ival-sub: 5.0ms (1.8% of total)

ival-sqrt: 4.0ms (1.5% of total)

ival-sin: 4.0ms (1.5% of total)

ival-pi: 3.0ms (1.1% of total)

ival-neg: 2.0ms (0.7% of total)

exact: 1.0ms (0.4% of total)

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

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

series10.0ms (0%)

Memory

29.3MiB live, 29.3MiB allocated

Counts

7 → 72

Calls

Call 1

Inputs
#s(alt (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) (patch (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (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 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) (patch (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (patch (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (+.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)))) (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 (.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))))) (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 (sqrt.f64 (.f64 (PI.f64) #s(literal 2 binary64))) (patch (sqrt.f64 (.f64 (PI.f64) #s(literal 2 binary64))) #<representation binary64>) () ())

Outputs
#s(alt (* -1 z) (taylor 0 z) (#s(alt (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) (patch (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) (patch (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) (patch (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) (patch (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) (patch (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) (patch (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
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Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	z	@	0	(* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2))))
2.0ms	z	@	inf	(* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2))))
1.0ms	z	@	-inf	(* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2))))
0.0ms	z	@	inf	(+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2)))
0.0ms	z	@	0	(+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2)))

simplify316.0ms (0.2%)

Memory

15.5MiB live, 719.7MiB allocated

Algorithm

1×	egg-herbie

Rules

9 520×	`lower-fma.f64`
9 520×	`lower-fma.f32`
4 782×	`lower-*.f64`
4 782×	`lower-*.f32`
2 746×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	148	733
1	456	692
2	1421	648
3	5082	647
0	8025	626

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

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

rewrite339.0ms (0.2%)

Memory

2.8MiB live, 719.7MiB allocated

Rules

4 034×	`lower-fma.f64`
4 034×	`lower-fma.f32`
3 992×	`lower-/.f32`
3 988×	`lower-/.f64`
3 242×	`lower-*.f32`

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
(+.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) z)))
(+.f64 #s(literal 1 binary64) (+.f64 (neg.f64 z) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) (-.f64 (neg.f64 z) #s(literal 1 binary64)))
(+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z))
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z))
(-.f64 #s(literal 1 binary64) (-.f64 z #s(literal -1 binary64)))
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(-.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) z) (.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))) (+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) z))))
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z))))
(-.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) z) (.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))) (fma.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) z) (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z))))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) z) (.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) z))) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) z) (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z))) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) z)) (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z))))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (fma.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (+.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)))) #s(literal -1 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 z z z))) #s(literal -1 binary64))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) #s(literal -1 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) z)) (fma.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)) (fma.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))))
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64)) (+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) z)))
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) z)) (fma.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)) (fma.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))))
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)))
(/.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64))) (neg.f64 (+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) z))))
(/.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) z) (.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) z)))) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) z) (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) z))) (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z)))
(/.f64 (.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) z)))
(/.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) z)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) z) (.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) z))))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) z) (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) z)))) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z))))
(/.f64 (neg.f64 (.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) z))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (+.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (neg.f64 (+.f64 #s(literal 1 binary64) z)) (neg.f64 (+.f64 #s(literal 1 binary64) z))) (.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) z))))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (neg.f64 z) #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (+.f64 (neg.f64 z) #s(literal -1 binary64)) (+.f64 (neg.f64 z) #s(literal -1 binary64))) (.f64 #s(literal 1 binary64) (+.f64 (neg.f64 z) #s(literal -1 binary64))))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (neg.f64 z) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (-.f64 (neg.f64 z) #s(literal 1 binary64)) (-.f64 (neg.f64 z) #s(literal 1 binary64))) (.f64 #s(literal 1 binary64) (-.f64 (neg.f64 z) #s(literal 1 binary64))))))
(/.f64 (+.f64 #s(literal -1 binary64) (.f64 (-.f64 #s(literal 1 binary64) z) (.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (neg.f64 (-.f64 #s(literal 1 binary64) z)))))
(pow.f64 (/.f64 (+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) z)) (fma.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)) (fma.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 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 1 binary64))
(.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) z))))
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z))))
(.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (fma.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (+.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 2 binary64))))))
(*.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (fma.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64)))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z))) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)) (fma.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) #s(literal 8 binary64))) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (+.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 2 binary64))))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)) (fma.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (+.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)) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 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 15/2 binary64))
(+.f64 #s(literal 7 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)))
(+.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64)))
(+.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)) #s(literal 7 binary64))
(+.f64 #s(literal 15/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))
(exp.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64))))
(exp.f64 (*.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 15/2 binary64)))
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64))
(-.f64 (/.f64 (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -11/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -11/2 binary64))))
(-.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal -6 binary64))
(-.f64 (/.f64 (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 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 15/2 binary64))) (/.f64 #s(literal 225/4 binary64) (-.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) #s(literal 15/2 binary64))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64)))) (/.f64 (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (-.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64)))))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64))
(fma.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) #s(literal 15/2 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64) #s(literal 13/2 binary64))
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(.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 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64)))))
(.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)))) (exp.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (exp.f64 #s(literal 15/2 binary64))))
(.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)))) (exp.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (exp.f64 #s(literal 1/2 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (exp.f64 #s(literal 1/2 binary64))) (/.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)))) (exp.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64)))))
(.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)))) (exp.f64 #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))) (/.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)))) (exp.f64 #s(literal 15/2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 1/2 binary64)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))
(pow.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 1/2 binary64))
(.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))))
(.f64 (cbrt.f64 (PI.f64)) (pow.f64 (.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 (.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (PI.f64)))
(.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (pow.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 1/2 binary64)) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) (sqrt.f64 (sqrt.f64 (PI.f64))))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))

eval391.0ms (0.3%)

Memory: -24.3MiB live, 942.4MiB allocated
Compiler: Compiled 176 979 to 8 406 computations (95.3% saved)

prune372.0ms (0.3%)

Memory

5.0MiB live, 926.7MiB 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
▶	96.2%	(.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 (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))))))
	95.7%	(.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 binary64))) (exp.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))) (/.f64 (sqrt.f64 (.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)) (.f64 #s(literal 2 binary64) (PI.f64)))) (exp.f64 #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))))))
	95.7%	(.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 (+.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 (fma.f64 (fma.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) #s(literal 343 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) #s(literal 49 binary64)) (.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))))))
	96.2%	(.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 (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (+.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))))))
▶	96.2%	(.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 1 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 6765203681218851/10000000000000 binary64) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 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))))))
	96.2%	(.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 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z))) #s(literal -3147848041806007/2500000000000 binary64) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 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))))))
	97.3%	(.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 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 #s(literal 1 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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	97.5%	(.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)) (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 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))))))
▶	97.8%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 (fma.f64 (log.f64 (.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 1/2 binary64) (fma.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)) (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 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))))))
	95.0%	(.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 (sqrt.f64 (PI.f64)) (.f64 (exp.f64 #s(literal -15/2 binary64)) (fma.f64 z (.f64 (+.f64 (-.f64 #s(literal -1/15 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 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #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))))))
▶	94.0%	(.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 (sqrt.f64 (PI.f64)) (.f64 (exp.f64 #s(literal -15/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #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))))))
	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 (exp.f64 (+.f64 z #s(literal -15/2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 (PI.f64)) (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))))))

Compiler

Compiled 4 450 to 2 302 computations (48.3% saved)

simplify273.0ms (0.2%)

Memory

15.3MiB live, 723.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	192	(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z))
cost-diff	192	(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 6765203681218851/10000000000000 binary64) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)))))
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	(neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)))
cost-diff	192	(+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 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	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	192	(+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64))
cost-diff	256	(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
cost-diff	5824	(exp.f64 (fma.f64 (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 1/2 binary64) (fma.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)) (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64))) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64))))))

Rules

6 568×	`lower-+.f32`
6 512×	`lower-+.f64`
5 672×	`lower-fma.f32`
5 660×	`lower-fma.f64`
5 088×	`lower-*.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	138	4371
0	238	3649
1	471	3249
2	1756	2749
0	8654	2749

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

localize1.8s (1.3%)

Memory

-9.8MiB live, 2 707.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	1.0	(sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))
accuracy	1.5631637695368843	(.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	2.7573951515081614	(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 6765203681218851/10000000000000 binary64) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)))))
accuracy	57.60807558124304	(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
accuracy	0.953125	(.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 (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)))))
accuracy	1.0	(sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))
accuracy	2.7513741089656207	(+.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	57.60807558124304	(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
accuracy	1.0	(sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))
accuracy	1.2754971177582575	#s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 23912966683069397/40000000000000 binary64) #s(literal 2076511864126339/4000000000000 binary64)) #s(literal 904338909853211/2500000000000 binary64)) #s(literal 479507597606835099/10000000000000000 binary64)))
accuracy	1.5631637695368843	(.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	57.60807558124304	(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
accuracy	1.0	(sqrt.f64 (PI.f64))
accuracy	2.259030914303938	#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 (sqrt.f64 (PI.f64)) (.f64 (exp.f64 #s(literal -15/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))))))
accuracy	2.7513741089656207	(+.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	57.60807558124304	(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
accuracy	1.0	(log.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))
accuracy	1.9559401241672874	(exp.f64 (fma.f64 (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 1/2 binary64) (fma.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)) (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64))) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64))))))
accuracy	2.7513741089656207	(+.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	57.60807558124304	(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))

Samples

679.0ms	157×	1	valid
356.0ms	73×	2	valid
28.0ms	26×	0	valid

Compiler

Compiled 4 262 to 117 computations (97.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 765.0ms

ival-mult: 140.0ms (18.3% of total)

adjust: 134.0ms (17.5% of total)

ival-add: 132.0ms (17.3% of total)

ival-div: 127.0ms (16.6% of total)

const: 121.0ms (15.8% of total)

ival-sqrt: 31.0ms (4.1% of total)

ival-pow: 23.0ms (3% of total)

ival-exp: 22.0ms (2.9% of total)

ival-log: 15.0ms (2% of total)

ival-sub: 7.0ms (0.9% of total)

ival-neg: 5.0ms (0.7% of total)

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

ival-pi: 3.0ms (0.4% of total)

exact: 2.0ms (0.3% of total)

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

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

series25.0ms (0%)

Memory

14.3MiB live, 57.2MiB allocated

Counts

22 → 216

Calls

Call 1

Inputs
#s(alt (exp.f64 (fma.f64 (log.f64 (.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 1/2 binary64) (fma.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)) (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64))) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)))))) (patch (exp.f64 (fma.f64 (log.f64 (.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 1/2 binary64) (fma.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)) (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64))) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)))))) #<representation binary64>) () ())
#s(alt (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) (patch (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)) (patch (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)) (patch (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)) (patch (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)) (patch (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (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 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) (patch (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (patch (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64))) (patch (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 6765203681218851/10000000000000 binary64) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z))))) (patch (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 6765203681218851/10000000000000 binary64) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z))))) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)) (patch (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())
#s(alt (+.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)))) (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 (log.f64 (.f64 #s(literal 2 binary64) (PI.f64))) (patch (log.f64 (.f64 #s(literal 2 binary64) (PI.f64))) #<representation binary64>) () ())
#s(alt #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 (sqrt.f64 (PI.f64)) (.f64 (exp.f64 #s(literal -15/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64)))))) (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 (sqrt.f64 (PI.f64)) (.f64 (exp.f64 #s(literal -15/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64)))))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (PI.f64)) (patch (sqrt.f64 (PI.f64)) #<representation binary64>) () ())
#s(alt (.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))))) (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 #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 23912966683069397/40000000000000 binary64) #s(literal 2076511864126339/4000000000000 binary64)) #s(literal 904338909853211/2500000000000 binary64)) #s(literal 479507597606835099/10000000000000000 binary64))) (patch #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 23912966683069397/40000000000000 binary64) #s(literal 2076511864126339/4000000000000 binary64)) #s(literal 904338909853211/2500000000000 binary64)) #s(literal 479507597606835099/10000000000000000 binary64))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (.f64 (PI.f64) #s(literal 2 binary64))) (patch (sqrt.f64 (.f64 (PI.f64) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))) (patch (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))) #<representation binary64>) () ())
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Outputs
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#s(alt (exp (- (+ (* 1/2 (log (* 2 (PI)))) (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (+ 15/2 (* -1 z)))) (taylor -inf z) (#s(alt (exp.f64 (fma.f64 (log.f64 (.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 1/2 binary64) (fma.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)) (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64))) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)))))) (patch (exp.f64 (fma.f64 (log.f64 (.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 1/2 binary64) (fma.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)) (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64))) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)))))) #<representation binary64>) () ())) ())
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Calls

54 calls:

Time	Variable		Point	Expression
4.0ms	z	@	-inf	(* (* (pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2)) (* (sqrt (* 2 (PI))) (exp (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))))
3.0ms	z	@	0	(* (* (pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2)) (* (sqrt (* 2 (PI))) (exp (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))))
2.0ms	z	@	inf	(* (* (pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2)) (* (sqrt (* 2 (PI))) (exp (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))))
1.0ms	z	@	inf	(exp (+ (* (log (* 2 (PI))) 1/2) (+ (* (+ (- 1 z) -1/2) (log (+ (- 1 z) 13/2))) (neg (+ (- 1 z) 13/2)))))
1.0ms	z	@	0	(exp (+ (* (log (* 2 (PI))) 1/2) (+ (* (+ (- 1 z) -1/2) (log (+ (- 1 z) 13/2))) (neg (+ (- 1 z) 13/2)))))

simplify546.0ms (0.4%)

Memory

9.2MiB live, 1 280.0MiB allocated

Algorithm

1×	egg-herbie

Rules

20 036×	`lower-fma.f64`
20 036×	`lower-fma.f32`
7 658×	`lower-+.f64`
7 658×	`lower-+.f32`
5 614×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	302	3015
1	985	2877
2	3559	2618
0	8630	2502

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 214

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)))))))
(exp (- (+ z (+ (* 1/2 (log (* 2 (PI)))) (* (log (- 15/2 z)) (- 1/2 z)))) 15/2))
(exp (- (+ z (+ (* 1/2 (log (* 2 (PI)))) (* (log (- 15/2 z)) (- 1/2 z)))) 15/2))
(exp (- (+ z (+ (* 1/2 (log (* 2 (PI)))) (* (log (- 15/2 z)) (- 1/2 z)))) 15/2))
(exp (- (+ z (+ (* 1/2 (log (* 2 (PI)))) (* (log (- 15/2 z)) (- 1/2 z)))) 15/2))
(exp (- (+ (* 1/2 (log (* 2 (PI)))) (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (+ 15/2 (* -1 z))))
(exp (- (+ (* 1/2 (log (* 2 (PI)))) (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (+ 15/2 (* -1 z))))
(exp (- (+ (* 1/2 (log (* 2 (PI)))) (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (+ 15/2 (* -1 z))))
(exp (- (+ (* 1/2 (log (* 2 (PI)))) (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (+ 15/2 (* -1 z))))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
1/2
(+ 1/2 (* -1 z))
(+ 1/2 (* -1 z))
(+ 1/2 (* -1 z))
(* -1 z)
(* z (- (* 1/2 (/ 1 z)) 1))
(* z (- (* 1/2 (/ 1 z)) 1))
(* z (- (* 1/2 (/ 1 z)) 1))
(* -1 z)
(* -1 (* z (- 1 (* 1/2 (/ 1 z)))))
(* -1 (* z (- 1 (* 1/2 (/ 1 z)))))
(* -1 (* z (- 1 (* 1/2 (/ 1 z)))))
15/2
(+ 15/2 (* -1 z))
(+ 15/2 (* -1 z))
(+ 15/2 (* -1 z))
(* -1 z)
(* z (- (* 15/2 (/ 1 z)) 1))
(* z (- (* 15/2 (/ 1 z)) 1))
(* z (- (* 15/2 (/ 1 z)) 1))
(* -1 z)
(* -1 (* z (- 1 (* 15/2 (/ 1 z)))))
(* -1 (* z (- 1 (* 15/2 (/ 1 z)))))
(* -1 (* z (- 1 (* 15/2 (/ 1 z)))))
1
(+ 1 (* -1 z))
(+ 1 (* -1 z))
(+ 1 (* -1 z))
(* -1 z)
(* z (- (/ 1 z) 1))
(* z (- (/ 1 z) 1))
(* z (- (/ 1 z) 1))
(* -1 z)
(* -1 (* z (- 1 (/ 1 z))))
(* -1 (* z (- 1 (/ 1 z))))
(* -1 (* z (- 1 (/ 1 z))))
2
(+ 2 (* -1 z))
(+ 2 (* -1 z))
(+ 2 (* -1 z))
(* -1 z)
(* z (- (* 2 (/ 1 z)) 1))
(* z (- (* 2 (/ 1 z)) 1))
(* z (- (* 2 (/ 1 z)) 1))
(* -1 z)
(* -1 (* z (- 1 (* 2 (/ 1 z)))))
(* -1 (* z (- 1 (* 2 (/ 1 z)))))
(* -1 (* z (- 1 (* 2 (/ 1 z)))))
3
(+ 3 (* -1 z))
(+ 3 (* -1 z))
(+ 3 (* -1 z))
(* -1 z)
(* z (- (* 3 (/ 1 z)) 1))
(* z (- (* 3 (/ 1 z)) 1))
(* z (- (* 3 (/ 1 z)) 1))
(* -1 z)
(* -1 (* z (- 1 (* 3 (/ 1 z)))))
(* -1 (* z (- 1 (* 3 (/ 1 z)))))
(* -1 (* z (- 1 (* 3 (/ 1 z)))))
15/2
(+ 15/2 (* -1 z))
(+ 15/2 (* -1 z))
(+ 15/2 (* -1 z))
(* -1 z)
(* z (- (* 15/2 (/ 1 z)) 1))
(* z (- (* 15/2 (/ 1 z)) 1))
(* z (- (* 15/2 (/ 1 z)) 1))
(* -1 z)
(* -1 (* z (- 1 (* 15/2 (/ 1 z)))))
(* -1 (* z (- 1 (* 15/2 (/ 1 z)))))
(* -1 (* z (- 1 (* 15/2 (/ 1 z)))))
7
(+ 7 (* -1 z))
(+ 7 (* -1 z))
(+ 7 (* -1 z))
(* -1 z)
(* z (- (* 7 (/ 1 z)) 1))
(* z (- (* 7 (/ 1 z)) 1))
(* z (- (* 7 (/ 1 z)) 1))
(* -1 z)
(* -1 (* z (- 1 (* 7 (/ 1 z)))))
(* -1 (* z (- 1 (* 7 (/ 1 z)))))
(* -1 (* z (- 1 (* 7 (/ 1 z)))))
1/2
(+ 1/2 (* -1 z))
(+ 1/2 (* -1 z))
(+ 1/2 (* -1 z))
(* -1 z)
(* z (- (* 1/2 (/ 1 z)) 1))
(* z (- (* 1/2 (/ 1 z)) 1))
(* z (- (* 1/2 (/ 1 z)) 1))
(* -1 z)
(* -1 (* z (- 1 (* 1/2 (/ 1 z)))))
(* -1 (* z (- 1 (* 1/2 (/ 1 z)))))
(* -1 (* z (- 1 (* 1/2 (/ 1 z)))))
-15/2
(- z 15/2)
(- z 15/2)
(- z 15/2)
z
(* z (- 1 (* 15/2 (/ 1 z))))
(* z (- 1 (* 15/2 (/ 1 z))))
(* z (- 1 (* 15/2 (/ 1 z))))
z
(* -1 (* z (- (* 15/2 (/ 1 z)) 1)))
(* -1 (* z (- (* 15/2 (/ 1 z)) 1)))
(* -1 (* z (- (* 15/2 (/ 1 z)) 1)))
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))))))
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)))))
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)))
2
(+ 2 (* -1 z))
(+ 2 (* -1 z))
(+ 2 (* -1 z))
(* -1 z)
(* z (- (* 2 (/ 1 z)) 1))
(* z (- (* 2 (/ 1 z)) 1))
(* z (- (* 2 (/ 1 z)) 1))
(* -1 z)
(* -1 (* z (- 1 (* 2 (/ 1 z)))))
(* -1 (* z (- 1 (* 2 (/ 1 z)))))
(* -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))))))
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)))))
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 -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)))))
(* (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))))
(* (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))))
(* (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)))))
(* (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))))
(* (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))))
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))))))
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)))))
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)))
(* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))))
(+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))))) (* (* z (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))) (* (exp -15/2) (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2))))))) (sqrt (PI))))
(+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))))) (* z (+ (* (sqrt (PI)) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))) (* (exp -15/2) (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2))))))) (* (* z (+ (* 1106209385320415913103082059/8400000000000000000000000 (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))) (+ (* (exp -15/2) (* (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)))))) (* (exp -15/2) (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))))))) (sqrt (PI))))))
(+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))))) (* z (+ (* z (+ (* (sqrt (PI)) (+ (* 1106209385320415913103082059/8400000000000000000000000 (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))) (+ (* (exp -15/2) (* (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)))))) (* (exp -15/2) (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))))))) (* (* z (+ (* 1/2 (* (exp -15/2) (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))))) (+ (* 1106209385320415913103082059/25200000000000000000000000 (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))) (+ (* (exp -15/2) (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (+ 86/10125 (+ (* 29/225 (- (* -1 (log 15/2)) 1/15)) (* 1/6 (pow (- (* -1 (log 15/2)) 1/15) 3)))))) (+ (* 102757979785251069442117317613/235200000000000000000000000 (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (+ (* 64608921419941589693928044520019/118540800000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 4027292589444183035165374538123333/6638284800000000000000000000000 (sqrt 15/2))))))) (* (exp -15/2) (* (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)))))))))) (sqrt (PI))))) (* (sqrt (PI)) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))) (* (exp -15/2) (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2))))))))))
(* 9999999999998099/10000000000000000 (* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2)))))
(+ (* -611458333333720910362579/25000000000000000000000 (* (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))) z) (sqrt (PI)))) (* 9999999999998099/10000000000000000 (* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))))))
(+ (* -611458333333720910362579/25000000000000000000000 (* (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))) z) (sqrt (PI)))) (+ (* 9999999999998099/10000000000000000 (* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))))) (* 1078390842009938509147167/6250000000000000000000 (* (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))) (pow z 2)) (sqrt (PI))))))
(+ (* -398308844029173303716389/6250000000000000000000 (* (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))) (pow z 3)) (sqrt (PI)))) (+ (* -611458333333720910362579/25000000000000000000000 (* (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))) z) (sqrt (PI)))) (+ (* 9999999999998099/10000000000000000 (* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))))) (* 1078390842009938509147167/6250000000000000000000 (* (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))) (pow z 2)) (sqrt (PI)))))))
(* 9999999999998099/10000000000000000 (* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)))))
(+ (* -611458333333720910362579/25000000000000000000000 (* (/ (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))) z) (sqrt (PI)))) (* 9999999999998099/10000000000000000 (* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))))
(+ (* -1 (/ (+ (* -1078390842009938509147167/6250000000000000000000 (* (/ (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))) z) (sqrt (PI)))) (* 611458333333720910362579/25000000000000000000000 (* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)))))) z)) (* 9999999999998099/10000000000000000 (* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -398308844029173303716389/6250000000000000000000 (* (/ (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))) z) (sqrt (PI)))) (* 1078390842009938509147167/6250000000000000000000 (* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)))))) z)) (* 611458333333720910362579/25000000000000000000000 (* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)))))) z)) (* 9999999999998099/10000000000000000 (* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))))

Outputs
(exp (- (+ (* 1/2 (log 15/2)) (* 1/2 (log (* 2 (PI))))) 15/2))
(exp.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (log.f64 #s(literal 15/2 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal -15/2 binary64)))
(+ (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))))))
(.f64 (fma.f64 z (-.f64 #s(literal 14/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 1 binary64)) (exp.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (log.f64 #s(literal 15/2 binary64)) (log.f64 (.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal -15/2 binary64))))
(+ (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)))))))
(fma.f64 (.f64 (exp.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (log.f64 #s(literal 15/2 binary64)) (log.f64 (.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal -15/2 binary64))) z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 #s(literal 14/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 2 binary64)) #s(literal 29/225 binary64)) z (-.f64 #s(literal 14/15 binary64) (log.f64 #s(literal 15/2 binary64)))) (exp.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (log.f64 #s(literal 15/2 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal -15/2 binary64))))
(+ (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)))))))
(fma.f64 z (.f64 (.f64 (exp.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (log.f64 #s(literal 15/2 binary64)) (log.f64 (.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal -15/2 binary64))) z) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 #s(literal 14/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 3 binary64)) (fma.f64 (log.f64 #s(literal 15/2 binary64)) #s(literal -29/225 binary64) #s(literal 1304/10125 binary64))) z (fma.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 #s(literal 14/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 2 binary64)) #s(literal 29/225 binary64)))) (.f64 (fma.f64 z (-.f64 #s(literal 14/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 1 binary64)) (exp.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (log.f64 #s(literal 15/2 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal -15/2 binary64)))))
(exp (- (+ z (+ (* 1/2 (log (* 2 (PI)))) (* (log (- 15/2 z)) (- 1/2 z)))) 15/2))
(exp.f64 (fma.f64 (log.f64 (-.f64 #s(literal 15/2 binary64) z)) (-.f64 #s(literal 1/2 binary64) z) (fma.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (+.f64 z #s(literal -15/2 binary64)))))
(exp (- (+ z (+ (* 1/2 (log (* 2 (PI)))) (* (log (- 15/2 z)) (- 1/2 z)))) 15/2))
(exp.f64 (fma.f64 (log.f64 (-.f64 #s(literal 15/2 binary64) z)) (-.f64 #s(literal 1/2 binary64) z) (fma.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (+.f64 z #s(literal -15/2 binary64)))))
(exp (- (+ z (+ (* 1/2 (log (* 2 (PI)))) (* (log (- 15/2 z)) (- 1/2 z)))) 15/2))
(exp.f64 (fma.f64 (log.f64 (-.f64 #s(literal 15/2 binary64) z)) (-.f64 #s(literal 1/2 binary64) z) (fma.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (+.f64 z #s(literal -15/2 binary64)))))
(exp (- (+ z (+ (* 1/2 (log (* 2 (PI)))) (* (log (- 15/2 z)) (- 1/2 z)))) 15/2))
(exp.f64 (fma.f64 (log.f64 (-.f64 #s(literal 15/2 binary64) z)) (-.f64 #s(literal 1/2 binary64) z) (fma.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (+.f64 z #s(literal -15/2 binary64)))))
(exp (- (+ (* 1/2 (log (* 2 (PI)))) (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (+ 15/2 (* -1 z))))
(exp.f64 (fma.f64 (log.f64 (-.f64 #s(literal 15/2 binary64) z)) (-.f64 #s(literal 1/2 binary64) z) (fma.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (+.f64 z #s(literal -15/2 binary64)))))
(exp (- (+ (* 1/2 (log (* 2 (PI)))) (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (+ 15/2 (* -1 z))))
(exp.f64 (fma.f64 (log.f64 (-.f64 #s(literal 15/2 binary64) z)) (-.f64 #s(literal 1/2 binary64) z) (fma.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (+.f64 z #s(literal -15/2 binary64)))))
(exp (- (+ (* 1/2 (log (* 2 (PI)))) (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (+ 15/2 (* -1 z))))
(exp.f64 (fma.f64 (log.f64 (-.f64 #s(literal 15/2 binary64) z)) (-.f64 #s(literal 1/2 binary64) z) (fma.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (+.f64 z #s(literal -15/2 binary64)))))
(exp (- (+ (* 1/2 (log (* 2 (PI)))) (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (+ 15/2 (* -1 z))))
(exp.f64 (fma.f64 (log.f64 (-.f64 #s(literal 15/2 binary64) z)) (-.f64 #s(literal 1/2 binary64) z) (fma.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (+.f64 z #s(literal -15/2 binary64)))))
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1 z))
(-.f64 #s(literal 1/2 binary64) z)
(+ 1/2 (* -1 z))
(-.f64 #s(literal 1/2 binary64) z)
(+ 1/2 (* -1 z))
(-.f64 #s(literal 1/2 binary64) z)
(* -1 z)
(neg.f64 z)
(* z (- (* 1/2 (/ 1 z)) 1))
(-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) z) z) z)
(* z (- (* 1/2 (/ 1 z)) 1))
(-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) z) z) z)
(* z (- (* 1/2 (/ 1 z)) 1))
(-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) z) z) z)
(* -1 z)
(neg.f64 z)
(* -1 (* z (- 1 (* 1/2 (/ 1 z)))))
(-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) z) z) z)
(* -1 (* z (- 1 (* 1/2 (/ 1 z)))))
(-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) z) z) z)
(* -1 (* z (- 1 (* 1/2 (/ 1 z)))))
(-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) z) z) z)
15/2
#s(literal 15/2 binary64)
(+ 15/2 (* -1 z))
(-.f64 #s(literal 15/2 binary64) z)
(+ 15/2 (* -1 z))
(-.f64 #s(literal 15/2 binary64) z)
(+ 15/2 (* -1 z))
(-.f64 #s(literal 15/2 binary64) z)
(* -1 z)
(neg.f64 z)
(* z (- (* 15/2 (/ 1 z)) 1))
(fma.f64 z (/.f64 #s(literal 15/2 binary64) z) (neg.f64 z))
(* z (- (* 15/2 (/ 1 z)) 1))
(fma.f64 z (/.f64 #s(literal 15/2 binary64) z) (neg.f64 z))
(* z (- (* 15/2 (/ 1 z)) 1))
(fma.f64 z (/.f64 #s(literal 15/2 binary64) z) (neg.f64 z))
(* -1 z)
(neg.f64 z)
(* -1 (* z (- 1 (* 15/2 (/ 1 z)))))
(fma.f64 z (/.f64 #s(literal 15/2 binary64) z) (neg.f64 z))
(* -1 (* z (- 1 (* 15/2 (/ 1 z)))))
(fma.f64 z (/.f64 #s(literal 15/2 binary64) z) (neg.f64 z))
(* -1 (* z (- 1 (* 15/2 (/ 1 z)))))
(fma.f64 z (/.f64 #s(literal 15/2 binary64) z) (neg.f64 z))
1
#s(literal 1 binary64)
(+ 1 (* -1 z))
(-.f64 #s(literal 1 binary64) z)
(+ 1 (* -1 z))
(-.f64 #s(literal 1 binary64) z)
(+ 1 (* -1 z))
(-.f64 #s(literal 1 binary64) z)
(* -1 z)
(neg.f64 z)
(* z (- (/ 1 z) 1))
(-.f64 #s(literal 1 binary64) z)
(* z (- (/ 1 z) 1))
(-.f64 #s(literal 1 binary64) z)
(* z (- (/ 1 z) 1))
(-.f64 #s(literal 1 binary64) z)
(* -1 z)
(neg.f64 z)
(* -1 (* z (- 1 (/ 1 z))))
(-.f64 #s(literal 1 binary64) z)
(* -1 (* z (- 1 (/ 1 z))))
(-.f64 #s(literal 1 binary64) z)
(* -1 (* z (- 1 (/ 1 z))))
(-.f64 #s(literal 1 binary64) z)
2
#s(literal 2 binary64)
(+ 2 (* -1 z))
(-.f64 #s(literal 2 binary64) z)
(+ 2 (* -1 z))
(-.f64 #s(literal 2 binary64) z)
(+ 2 (* -1 z))
(-.f64 #s(literal 2 binary64) z)
(* -1 z)
(neg.f64 z)
(* z (- (* 2 (/ 1 z)) 1))
(-.f64 (*.f64 z (/.f64 #s(literal 2 binary64) z)) z)
(* z (- (* 2 (/ 1 z)) 1))
(-.f64 (*.f64 z (/.f64 #s(literal 2 binary64) z)) z)
(* z (- (* 2 (/ 1 z)) 1))
(-.f64 (*.f64 z (/.f64 #s(literal 2 binary64) z)) z)
(* -1 z)
(neg.f64 z)
(* -1 (* z (- 1 (* 2 (/ 1 z)))))
(-.f64 (*.f64 z (/.f64 #s(literal 2 binary64) z)) z)
(* -1 (* z (- 1 (* 2 (/ 1 z)))))
(-.f64 (*.f64 z (/.f64 #s(literal 2 binary64) z)) z)
(* -1 (* z (- 1 (* 2 (/ 1 z)))))
(-.f64 (*.f64 z (/.f64 #s(literal 2 binary64) z)) z)
3
#s(literal 3 binary64)
(+ 3 (* -1 z))
(-.f64 #s(literal 3 binary64) z)
(+ 3 (* -1 z))
(-.f64 #s(literal 3 binary64) z)
(+ 3 (* -1 z))
(-.f64 #s(literal 3 binary64) z)
(* -1 z)
(neg.f64 z)
(* z (- (* 3 (/ 1 z)) 1))
(fma.f64 z (/.f64 #s(literal 3 binary64) z) (neg.f64 z))
(* z (- (* 3 (/ 1 z)) 1))
(fma.f64 z (/.f64 #s(literal 3 binary64) z) (neg.f64 z))
(* z (- (* 3 (/ 1 z)) 1))
(fma.f64 z (/.f64 #s(literal 3 binary64) z) (neg.f64 z))
(* -1 z)
(neg.f64 z)
(* -1 (* z (- 1 (* 3 (/ 1 z)))))
(fma.f64 z (/.f64 #s(literal 3 binary64) z) (neg.f64 z))
(* -1 (* z (- 1 (* 3 (/ 1 z)))))
(fma.f64 z (/.f64 #s(literal 3 binary64) z) (neg.f64 z))
(* -1 (* z (- 1 (* 3 (/ 1 z)))))
(fma.f64 z (/.f64 #s(literal 3 binary64) z) (neg.f64 z))
15/2
#s(literal 15/2 binary64)
(+ 15/2 (* -1 z))
(-.f64 #s(literal 15/2 binary64) z)
(+ 15/2 (* -1 z))
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(* -1 z)
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(fma.f64 z (/.f64 #s(literal 15/2 binary64) z) (neg.f64 z))
(* z (- (* 15/2 (/ 1 z)) 1))
(fma.f64 z (/.f64 #s(literal 15/2 binary64) z) (neg.f64 z))
(* -1 z)
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(* -1 (* z (- 1 (* 15/2 (/ 1 z)))))
(fma.f64 z (/.f64 #s(literal 15/2 binary64) z) (neg.f64 z))
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(fma.f64 z (/.f64 #s(literal 15/2 binary64) z) (neg.f64 z))
(* -1 (* z (- 1 (* 15/2 (/ 1 z)))))
(fma.f64 z (/.f64 #s(literal 15/2 binary64) z) (neg.f64 z))
7
#s(literal 7 binary64)
(+ 7 (* -1 z))
(-.f64 #s(literal 7 binary64) z)
(+ 7 (* -1 z))
(-.f64 #s(literal 7 binary64) z)
(+ 7 (* -1 z))
(-.f64 #s(literal 7 binary64) z)
(* -1 z)
(neg.f64 z)
(* z (- (* 7 (/ 1 z)) 1))
(fma.f64 z (/.f64 #s(literal 7 binary64) z) (neg.f64 z))
(* z (- (* 7 (/ 1 z)) 1))
(fma.f64 z (/.f64 #s(literal 7 binary64) z) (neg.f64 z))
(* z (- (* 7 (/ 1 z)) 1))
(fma.f64 z (/.f64 #s(literal 7 binary64) z) (neg.f64 z))
(* -1 z)
(neg.f64 z)
(* -1 (* z (- 1 (* 7 (/ 1 z)))))
(fma.f64 z (/.f64 #s(literal 7 binary64) z) (neg.f64 z))
(* -1 (* z (- 1 (* 7 (/ 1 z)))))
(fma.f64 z (/.f64 #s(literal 7 binary64) z) (neg.f64 z))
(* -1 (* z (- 1 (* 7 (/ 1 z)))))
(fma.f64 z (/.f64 #s(literal 7 binary64) z) (neg.f64 z))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1 z))
(-.f64 #s(literal 1/2 binary64) z)
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(+ (* -611458333333720910362579/25000000000000000000000 (* (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))) z) (sqrt (PI)))) (* 9999999999998099/10000000000000000 (* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))))))
(.f64 (sqrt.f64 (PI.f64)) (fma.f64 (.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (+.f64 z #s(literal -15/2 binary64))))) #s(literal 9999999999998099/10000000000000000 binary64) (.f64 #s(literal -611458333333720910362579/25000000000000000000000 binary64) (.f64 (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))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) z))))))
(+ (* -611458333333720910362579/25000000000000000000000 (* (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))) z) (sqrt (PI)))) (+ (* 9999999999998099/10000000000000000 (* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))))) (* 1078390842009938509147167/6250000000000000000000 (* (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))) (pow z 2)) (sqrt (PI))))))
(fma.f64 (sqrt.f64 (PI.f64)) (fma.f64 #s(literal 1078390842009938509147167/6250000000000000000000 binary64) (.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (exp.f64 (+.f64 z #s(literal -15/2 binary64))) (.f64 z z)))) (.f64 #s(literal -611458333333720910362579/25000000000000000000000 binary64) (.f64 (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))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) z))))) (.f64 (.f64 (.f64 #s(literal 9999999999998099/10000000000000000 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (+.f64 z #s(literal -15/2 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))))
(+ (* -398308844029173303716389/6250000000000000000000 (* (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))) (pow z 3)) (sqrt (PI)))) (+ (* -611458333333720910362579/25000000000000000000000 (* (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))) z) (sqrt (PI)))) (+ (* 9999999999998099/10000000000000000 (* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))))) (* 1078390842009938509147167/6250000000000000000000 (* (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))) (pow z 2)) (sqrt (PI)))))))
(fma.f64 (sqrt.f64 (PI.f64)) (fma.f64 #s(literal -398308844029173303716389/6250000000000000000000 binary64) (.f64 (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))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 z (.f64 z z))))) (.f64 #s(literal -611458333333720910362579/25000000000000000000000 binary64) (.f64 (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))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) z))))) (.f64 (sqrt.f64 (PI.f64)) (fma.f64 (.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (+.f64 z #s(literal -15/2 binary64))))) #s(literal 9999999999998099/10000000000000000 binary64) (.f64 (.f64 #s(literal 1078390842009938509147167/6250000000000000000000 binary64) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (exp.f64 (+.f64 z #s(literal -15/2 binary64))) (.f64 z z)))))))
(* 9999999999998099/10000000000000000 (* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)))))
(.f64 (.f64 (.f64 #s(literal 9999999999998099/10000000000000000 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (+.f64 z #s(literal -15/2 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))))
(+ (* -611458333333720910362579/25000000000000000000000 (* (/ (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))) z) (sqrt (PI)))) (* 9999999999998099/10000000000000000 (* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))))
(.f64 (sqrt.f64 (PI.f64)) (fma.f64 (.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (+.f64 z #s(literal -15/2 binary64))))) #s(literal 9999999999998099/10000000000000000 binary64) (.f64 #s(literal -611458333333720910362579/25000000000000000000000 binary64) (.f64 (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))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) z))))))
(+ (* -1 (/ (+ (* -1078390842009938509147167/6250000000000000000000 (* (/ (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))) z) (sqrt (PI)))) (* 611458333333720910362579/25000000000000000000000 (* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)))))) z)) (* 9999999999998099/10000000000000000 (* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))))
(-.f64 (.f64 (.f64 (.f64 #s(literal 9999999999998099/10000000000000000 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (+.f64 z #s(literal -15/2 binary64)))) (.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 (sqrt.f64 (PI.f64)) (fma.f64 (.f64 (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))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) z))) #s(literal -1078390842009938509147167/6250000000000000000000 binary64) (.f64 (.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (+.f64 z #s(literal -15/2 binary64))))) #s(literal 611458333333720910362579/25000000000000000000000 binary64)))) z))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -398308844029173303716389/6250000000000000000000 (* (/ (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))) z) (sqrt (PI)))) (* 1078390842009938509147167/6250000000000000000000 (* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)))))) z)) (* 611458333333720910362579/25000000000000000000000 (* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)))))) z)) (* 9999999999998099/10000000000000000 (* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))))
(-.f64 (.f64 (.f64 (.f64 #s(literal 9999999999998099/10000000000000000 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (+.f64 z #s(literal -15/2 binary64)))) (.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 (sqrt.f64 (PI.f64)) #s(literal 611458333333720910362579/25000000000000000000000 binary64)) (exp.f64 (+.f64 z #s(literal -15/2 binary64)))) (.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 (sqrt.f64 (PI.f64)) (fma.f64 #s(literal -398308844029173303716389/6250000000000000000000 binary64) (.f64 (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))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) z))) (.f64 (.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (+.f64 z #s(literal -15/2 binary64))))) #s(literal 1078390842009938509147167/6250000000000000000000 binary64)))) z)) z))

rewrite825.0ms (0.6%)

Memory

3.1MiB live, 713.7MiB allocated

Rules

4 250×	`lower-fma.f32`
4 246×	`lower-*.f32`
4 238×	`lower-fma.f64`
4 226×	`lower-*.f64`
3 382×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	114	364
0	189	301
1	811	243
0	8064	243

Stop Event

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

Counts

22 → 788

Calls

Call 1

Inputs
(exp.f64 (fma.f64 (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 1/2 binary64) (fma.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)) (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64))) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64))))))
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 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))
(neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 6765203681218851/10000000000000 binary64) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)))))
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z))
(+.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 #s(literal 2 binary64) (PI.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 (sqrt.f64 (PI.f64)) (.f64 (exp.f64 #s(literal -15/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))))))
(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 z (fma.f64 z (fma.f64 z #s(literal 23912966683069397/40000000000000 binary64) #s(literal 2076511864126339/4000000000000 binary64)) #s(literal 904338909853211/2500000000000 binary64)) #s(literal 479507597606835099/10000000000000000 binary64)))
(sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.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))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 (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)))))

Outputs
(exp.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) z) (log.f64 (-.f64 #s(literal 15/2 binary64) z)) (.f64 (log.f64 (.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 1/2 binary64))) (-.f64 #s(literal 15/2 binary64) z)))
(/.f64 (.f64 (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))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))
(/.f64 (.f64 (.f64 (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))) #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (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)))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) z) (log.f64 (-.f64 #s(literal 15/2 binary64) z)) (neg.f64 (-.f64 #s(literal 15/2 binary64) z))))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 (PI.f64)) (exp.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) z) (log.f64 (-.f64 #s(literal 15/2 binary64) z)) (neg.f64 (-.f64 #s(literal 15/2 binary64) z))))))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) z) (log.f64 (-.f64 #s(literal 15/2 binary64) z)) (neg.f64 (-.f64 #s(literal 15/2 binary64) z)))))
(.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 (neg.f64 (-.f64 #s(literal 15/2 binary64) z)))))
(.f64 (exp.f64 (neg.f64 (-.f64 #s(literal 15/2 binary64) z))) (.f64 (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))))
(.f64 (.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 (neg.f64 (-.f64 #s(literal 15/2 binary64) z)))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))
(.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1 binary64) z)) (.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) #s(literal -1/2 binary64)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 (neg.f64 (-.f64 #s(literal 15/2 binary64) z))))))
(.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (.f64 (-.f64 #s(literal 1/2 binary64) z) #s(literal 1/2 binary64))) (.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (.f64 (-.f64 #s(literal 1/2 binary64) z) #s(literal 1/2 binary64))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 (neg.f64 (-.f64 #s(literal 15/2 binary64) z))))))
(.f64 (.f64 (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))) (exp.f64 (neg.f64 (-.f64 #s(literal 15/2 binary64) z))))
(.f64 (exp.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) z) (log.f64 (-.f64 #s(literal 15/2 binary64) z)) (neg.f64 (-.f64 #s(literal 15/2 binary64) z)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))))
(.f64 (exp.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) z) (log.f64 (-.f64 #s(literal 15/2 binary64) z)) (.f64 (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (-.f64 #s(literal 15/2 binary64) z))))
(.f64 (.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 (neg.f64 (-.f64 #s(literal 15/2 binary64) z)))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1 binary64) z))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) #s(literal -1/2 binary64)))
(.f64 (.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 (neg.f64 (-.f64 #s(literal 15/2 binary64) z)))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (.f64 (-.f64 #s(literal 1/2 binary64) z) #s(literal 1/2 binary64)))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (.f64 (-.f64 #s(literal 1/2 binary64) z) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) z)))
(+.f64 #s(literal 1 binary64) (+.f64 (neg.f64 z) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) (-.f64 (neg.f64 z) #s(literal 1 binary64)))
(+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z))
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z))
(-.f64 #s(literal 1 binary64) (-.f64 z #s(literal -1 binary64)))
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(-.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) z) (.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))) (fma.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 2 binary64) z))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 2 binary64) z))))
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) z)))
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(.f64 (.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 (neg.f64 (-.f64 #s(literal 15/2 binary64) z))))) (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))) (+.f64 (/.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 (+.f64 (/.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 (/.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)))))))
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(.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1 binary64) z)) (.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) #s(literal -1/2 binary64)) (.f64 (.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 (neg.f64 (-.f64 #s(literal 15/2 binary64) z)))) (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))) (+.f64 (/.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 (+.f64 (/.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 (/.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 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (.f64 (-.f64 #s(literal 1/2 binary64) z) #s(literal 1/2 binary64))) (.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (.f64 (-.f64 #s(literal 1/2 binary64) z) #s(literal 1/2 binary64))) (.f64 (.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 (neg.f64 (-.f64 #s(literal 15/2 binary64) z)))) (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))) (+.f64 (/.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 (+.f64 (/.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 (/.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)))))))))
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(.f64 (.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 (neg.f64 (-.f64 #s(literal 15/2 binary64) z)))) (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))) (+.f64 (/.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 (+.f64 (/.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 (/.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))))))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))
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(.f64 (.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))) (+.f64 (/.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 (+.f64 (/.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 (/.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 (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)))) (exp.f64 (neg.f64 (-.f64 #s(literal 15/2 binary64) z))))

eval1.0s (0.7%)

Memory: 27.8MiB live, 2 680.9MiB allocated
Compiler: Compiled 543 165 to 17 104 computations (96.9% saved)

prune788.0ms (0.5%)

Memory

-31.4MiB live, 2 229.2MiB allocated

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	4 495	17	4 512
Fresh	13	1	14
Picked	5	0	5
Done	0	0	0
Total	4 513	18	4 531

Accuracy

99.6%

Counts

4 531 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.7%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 (neg.f64 (-.f64 #s(literal 15/2 binary64) z)))) (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))) (+.f64 (/.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 (+.f64 (/.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 (/.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)))))))))
▶	96.7%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))) (+.f64 (/.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 (+.f64 (/.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 (/.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 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 (neg.f64 (-.f64 #s(literal 15/2 binary64) z)))))))
	96.2%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 (neg.f64 (-.f64 #s(literal 15/2 binary64) z))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 6765203681218851/10000000000000 binary64) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 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))))))
	96.2%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 (neg.f64 (-.f64 #s(literal 15/2 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))))))
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	97.4%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) z) (log.f64 (-.f64 #s(literal 15/2 binary64) z)) (neg.f64 (-.f64 #s(literal 15/2 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 z (fma.f64 z (fma.f64 z #s(literal 23912966683069397/40000000000000 binary64) #s(literal 2076511864126339/4000000000000 binary64)) #s(literal 904338909853211/2500000000000 binary64)) #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))))))
▶	96.2%	(.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 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (+.f64 z #s(literal -15/2 binary64)))) (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 6765203681218851/10000000000000 binary64) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 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))))))
	96.0%	(.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 (sqrt.f64 (PI.f64)) (.f64 (exp.f64 #s(literal -15/2 binary64)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64)) (.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 2 binary64)) (sqrt.f64 #s(literal 15/2 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 z (fma.f64 z (fma.f64 z #s(literal 23912966683069397/40000000000000 binary64) #s(literal 2076511864126339/4000000000000 binary64)) #s(literal 904338909853211/2500000000000 binary64)) #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))))))
	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 (sqrt.f64 (PI.f64)) (.f64 (exp.f64 #s(literal -15/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64)))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 z (fma.f64 z #s(literal 2076511864126339/4000000000000 binary64) #s(literal 904338909853211/2500000000000 binary64)) #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))))))
	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 (sqrt.f64 (PI.f64)) (.f64 (exp.f64 #s(literal -15/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64)))))) (+.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))))))
▶	95.1%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) #s(approx (* (* (pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2)) (* (sqrt (* 2 (PI))) (exp (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 #s(literal -15/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64)))) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))))
▶	96.0%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) #s(approx (* (* (pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2)) (* (sqrt (* 2 (PI))) (exp (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 (sqrt.f64 (PI.f64)) (fma.f64 (exp.f64 #s(literal -15/2 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (.f64 z (.f64 (.f64 (exp.f64 #s(literal -15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (sqrt.f64 #s(literal 15/2 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (fma.f64 (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64))))))))))

Compiler

Compiled 3 368 to 1 994 computations (40.8% saved)

simplify284.0ms (0.2%)

Memory

26.2MiB live, 662.2MiB 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	192	(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z))
cost-diff	192	(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 6765203681218851/10000000000000 binary64) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)))))
cost-diff	256	(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
cost-diff	0	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) #s(approx (* (* (pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2)) (* (sqrt (* 2 (PI))) (exp (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 (sqrt.f64 (PI.f64)) (fma.f64 (exp.f64 #s(literal -15/2 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (.f64 z (.f64 (.f64 (exp.f64 #s(literal -15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (sqrt.f64 #s(literal 15/2 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (fma.f64 (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64))))))))))
cost-diff	64	(fma.f64 (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64))
cost-diff	1024	(fma.f64 (sqrt.f64 #s(literal 15/2 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (fma.f64 (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64))))
cost-diff	7680	(fma.f64 (exp.f64 #s(literal -15/2 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (.f64 z (.f64 (.f64 (exp.f64 #s(literal -15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (sqrt.f64 #s(literal 15/2 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (fma.f64 (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) #s(literal 102757979785251069442117317613/235200000000000000000000000 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 4 binary64))
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 2 binary64))
cost-diff	0	(sin.f64 (*.f64 (PI.f64) z))
cost-diff	0	(PI.f64)
cost-diff	0	(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
cost-diff	0	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) #s(approx (* (* (pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2)) (* (sqrt (* 2 (PI))) (exp (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 #s(literal -15/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64)))) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))))
cost-diff	128	(neg.f64 (-.f64 #s(literal 15/2 binary64) z))
cost-diff	192	(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z))
cost-diff	192	(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 6765203681218851/10000000000000 binary64) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)))))
cost-diff	256	(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))

Rules

7 314×	`lower-+.f32`
7 256×	`lower-+.f64`
5 894×	`lower-fma.f32`
5 884×	`lower-fma.f64`
5 436×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	172	2949
0	286	2609
1	579	2195
2	2067	2153
0	8451	2149

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

localize1.1s (0.8%)

Memory

-4.3MiB live, 2 548.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	1.0	(sqrt.f64 (PI.f64))
accuracy	1.56640625	(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (+.f64 z #s(literal -15/2 binary64)))) (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))))
accuracy	2.7573951515081574	(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 6765203681218851/10000000000000 binary64) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)))))
accuracy	57.608075581242986	(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
accuracy	1.0	(*.f64 (exp.f64 #s(literal -15/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
accuracy	1.0	(sqrt.f64 (PI.f64))
accuracy	1.6260805953336228	#s(approx (* (* (pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2)) (* (sqrt (* 2 (PI))) (exp (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 (sqrt.f64 (PI.f64)) (fma.f64 (exp.f64 #s(literal -15/2 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (.f64 z (.f64 (.f64 (exp.f64 #s(literal -15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (sqrt.f64 #s(literal 15/2 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (fma.f64 (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64)))))))))
accuracy	2.0	(fma.f64 (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64))
accuracy	0.96484375	(+.f64 (+.f64 (/.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 (/.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)))))
accuracy	0.9765625	(+.f64 (/.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))))
accuracy	1.0	(sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))
accuracy	1.050903810328323	(+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)))
accuracy	0.296875	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) #s(approx (* (* (pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2)) (* (sqrt (* 2 (PI))) (exp (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 #s(literal -15/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64)))) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))))
accuracy	0.30078125	(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
accuracy	1.0	(sqrt.f64 (PI.f64))
accuracy	2.1812470084241142	#s(approx (* (* (pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2)) (* (sqrt (* 2 (PI))) (exp (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 #s(literal -15/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64)))) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))))
accuracy	1.0	(sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))
accuracy	1.5389686041945208	(exp.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) z) (log.f64 (-.f64 #s(literal 15/2 binary64) z)) (neg.f64 (-.f64 #s(literal 15/2 binary64) z))))
accuracy	2.7573951515081574	(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 6765203681218851/10000000000000 binary64) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)))))
accuracy	57.608075581242986	(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))

Samples

418.0ms	157×	1	valid
279.0ms	73×	2	valid
37.0ms	26×	0	valid

Compiler

Compiled 2 831 to 158 computations (94.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 585.0ms

ival-add: 126.0ms (21.5% of total)

adjust: 101.0ms (17.3% of total)

ival-mult: 98.0ms (16.7% of total)

const: 75.0ms (12.8% of total)

ival-div: 58.0ms (9.9% of total)

ival-exp: 36.0ms (6.2% of total)

ival-pow: 32.0ms (5.5% of total)

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

ival-sub: 14.0ms (2.4% of total)

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

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

ival-sin: 4.0ms (0.7% of total)

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

exact: 2.0ms (0.3% of total)

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

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

series52.0ms (0%)

Memory

-5.5MiB live, 114.6MiB allocated

Counts

27 → 252

Calls

Call 1

Inputs
#s(alt (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) (patch (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 6765203681218851/10000000000000 binary64) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z))))) (patch (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 6765203681218851/10000000000000 binary64) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z))))) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)) (patch (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())
#s(alt (neg.f64 (-.f64 #s(literal 15/2 binary64) z)) (patch (neg.f64 (-.f64 #s(literal 15/2 binary64) z)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) #s(approx (* (* (pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2)) (* (sqrt (* 2 (PI))) (exp (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 #s(literal -15/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64)))) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))))) (patch (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) #s(approx (* (* (pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2)) (* (sqrt (* 2 (PI))) (exp (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 #s(literal -15/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64)))) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))))) #<representation binary64>) () ())
#s(alt (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (patch (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) #<representation binary64>) () ())
#s(alt (PI.f64) (patch (PI.f64) #<representation binary64>) () ())
#s(alt (sin.f64 (.f64 (PI.f64) z)) (patch (sin.f64 (.f64 (PI.f64) z)) #<representation binary64>) () ())
#s(alt (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) (patch (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) (patch (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 4 binary64)) (patch (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 5 binary64)) (patch (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 5 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (exp.f64 #s(literal -15/2 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (.f64 z (.f64 (.f64 (exp.f64 #s(literal -15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (sqrt.f64 #s(literal 15/2 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (fma.f64 (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64))))))) (patch (fma.f64 (exp.f64 #s(literal -15/2 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (.f64 z (.f64 (.f64 (exp.f64 #s(literal -15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (sqrt.f64 #s(literal 15/2 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (fma.f64 (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64))))))) #<representation binary64>) () ())
#s(alt (fma.f64 (sqrt.f64 #s(literal 15/2 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (fma.f64 (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64)))) (patch (fma.f64 (sqrt.f64 #s(literal 15/2 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (fma.f64 (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64)) (patch (fma.f64 (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) #s(approx (* (* (pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2)) (* (sqrt (* 2 (PI))) (exp (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 (sqrt.f64 (PI.f64)) (fma.f64 (exp.f64 #s(literal -15/2 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (.f64 z (.f64 (.f64 (exp.f64 #s(literal -15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (sqrt.f64 #s(literal 15/2 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (fma.f64 (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64)))))))))) (patch (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) #s(approx ( (* (pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2)) (* (sqrt (* 2 (PI))) (exp (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 (sqrt.f64 (PI.f64)) (fma.f64 (exp.f64 #s(literal -15/2 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (.f64 z (.f64 (.f64 (exp.f64 #s(literal -15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (sqrt.f64 #s(literal 15/2 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (fma.f64 (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64)))))))))) #<representation binary64>) () ())
#s(alt (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)) (patch (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (exp.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) z) (log.f64 (-.f64 #s(literal 15/2 binary64) z)) (neg.f64 (-.f64 #s(literal 15/2 binary64) z)))) (patch (exp.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) z) (log.f64 (-.f64 #s(literal 15/2 binary64) z)) (neg.f64 (-.f64 #s(literal 15/2 binary64) z)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))) (patch (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))) #<representation binary64>) () ())
#s(alt #s(approx (* (* (pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2)) (* (sqrt (* 2 (PI))) (exp (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 #s(literal -15/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64)))) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))) (patch #s(approx (* (* (pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2)) (* (sqrt (* 2 (PI))) (exp (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 #s(literal -15/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64)))) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))) #<representation binary64>) () ())
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Outputs
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#s(alt (* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)))) (taylor -inf z) (#s(alt (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (+.f64 z #s(literal -15/2 binary64)))) (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))) (patch (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (+.f64 z #s(literal -15/2 binary64)))) (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)))) (taylor -inf z) (#s(alt (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (+.f64 z #s(literal -15/2 binary64)))) (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))) (patch (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (+.f64 z #s(literal -15/2 binary64)))) (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))) #<representation binary64>) () ())) ())

Calls

63 calls:

Time	Variable		Point	Expression
10.0ms	z	@	0	(+ (* (exp -15/2) (* (* (sqrt 2) (sqrt 15/2)) 1106209385320415913103082059/4200000000000000000000000)) (* z (* (* (exp -15/2) (sqrt 2)) (+ (* (sqrt 15/2) 1106209385320415913103082059/4200000000000000000000000) (* (sqrt 15/2) (+ (* (- -1/15 (log 15/2)) 1106209385320415913103082059/4200000000000000000000000) 102757979785251069442117317613/235200000000000000000000000))))))
4.0ms	z	@	0	(* (/ (PI) (sin (* (PI) z))) (* (* (pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2)) (* (sqrt (* 2 (PI))) (exp (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)))))
2.0ms	z	@	-inf	(+ (+ (/ 2501468655737381/200000000000000 (+ (- 1 z) 4)) (/ -3464277381643003/25000000000000000 (+ (- 1 z) 5))) (+ (/ 2496092394504893/250000000000000000000 (+ (- 1 z) 6)) (/ 3764081837873279/25000000000000000000000 (+ (- 1 z) 7))))
1.0ms	z	@	inf	(* (/ (PI) (sin (* (PI) z))) (* (* (pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2)) (* (sqrt (* 2 (PI))) (exp (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)))))
1.0ms	z	@	-inf	(* (/ (PI) (sin (* (PI) z))) (* (* (pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2)) (* (sqrt (* 2 (PI))) (exp (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)))))

simplify47.8s (33.1%)

Memory

27.6MiB live, 782.6MiB allocated

Algorithm

1×	egg-herbie

Rules

8 352×	`lower-fma.f64`
8 352×	`lower-fma.f32`
7 546×	`lower-*.f64`
7 546×	`lower-*.f32`
2 858×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	595	6374
1	1869	6094
2	6557	5995
0	8451	5732

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 250

Calls

Call 1

Inputs
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -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))))))
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)))))
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)))
2
(+ 2 (* -1 z))
(+ 2 (* -1 z))
(+ 2 (* -1 z))
(* -1 z)
(* z (- (* 2 (/ 1 z)) 1))
(* z (- (* 2 (/ 1 z)) 1))
(* z (- (* 2 (/ 1 z)) 1))
(* -1 z)
(* -1 (* z (- 1 (* 2 (/ 1 z)))))
(* -1 (* z (- 1 (* 2 (/ 1 z)))))
(* -1 (* z (- 1 (* 2 (/ 1 z)))))
-15/2
(- z 15/2)
(- z 15/2)
(- z 15/2)
z
(* z (- 1 (* 15/2 (/ 1 z))))
(* z (- 1 (* 15/2 (/ 1 z))))
(* z (- 1 (* 15/2 (/ 1 z))))
z
(* -1 (* z (- (* 15/2 (/ 1 z)) 1)))
(* -1 (* z (- (* 15/2 (/ 1 z)) 1)))
(* -1 (* z (- (* 15/2 (/ 1 z)) 1)))
(* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) z) (sqrt (PI))))
(/ (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))))) (* (* z (+ (* 1106209385320415913103082059/4200000000000000000000000 (/ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) (PI))) (/ (* (exp -15/2) (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2))))) (PI)))) (sqrt (pow (PI) 3)))) z)
(/ (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))))) (* z (+ (* (sqrt (pow (PI) 3)) (+ (* 1106209385320415913103082059/4200000000000000000000000 (/ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) (PI))) (/ (* (exp -15/2) (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2))))) (PI)))) (* (* z (- (+ (* 1106209385320415913103082059/8400000000000000000000000 (/ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) (PI))) (+ (/ (* (exp -15/2) (* (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) (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2))))) (PI)))) (* -1106209385320415913103082059/25200000000000000000000000 (* (PI) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))))))) (sqrt (pow (PI) 3)))))) z)
(/ (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))))) (* z (+ (* z (+ (* (sqrt (pow (PI) 3)) (- (+ (* 1106209385320415913103082059/8400000000000000000000000 (/ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) (PI))) (+ (/ (* (exp -15/2) (* (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) (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2))))) (PI)))) (* -1106209385320415913103082059/25200000000000000000000000 (* (PI) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))))))) (* (* z (- (+ (* 1/2 (/ (* (exp -15/2) (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2))))) (PI))) (+ (* 1106209385320415913103082059/25200000000000000000000000 (/ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) (PI))) (+ (/ (* (exp -15/2) (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (+ 86/10125 (+ (* 29/225 (- (* -1 (log 15/2)) 1/15)) (* 1/6 (pow (- (* -1 (log 15/2)) 1/15) 3)))))) (+ (* 102757979785251069442117317613/235200000000000000000000000 (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (+ (* 64608921419941589693928044520019/118540800000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 4027292589444183035165374538123333/6638284800000000000000000000000 (sqrt 15/2))))))) (PI)) (/ (* (exp -15/2) (* (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))))) (* -1/6 (* (pow (PI) 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (/ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) (PI))) (/ (* (exp -15/2) (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2))))) (PI))))))) (sqrt (pow (PI) 3))))) (* (sqrt (pow (PI) 3)) (+ (* 1106209385320415913103082059/4200000000000000000000000 (/ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) (PI))) (/ (* (exp -15/2) (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2))))) (PI))))))) z)
(* 9999999999998099/10000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))) (sin (* z (PI))))))
(+ (* -611458333333720910362579/25000000000000000000000 (* (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))) (* z (sin (* z (PI))))) (sqrt (pow (PI) 3)))) (* 9999999999998099/10000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))) (sin (* z (PI)))))))
(+ (* -611458333333720910362579/25000000000000000000000 (* (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))) (* z (sin (* z (PI))))) (sqrt (pow (PI) 3)))) (+ (* 9999999999998099/10000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))) (sin (* z (PI)))))) (* 1078390842009938509147167/6250000000000000000000 (* (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))) (* (pow z 2) (sin (* z (PI))))) (sqrt (pow (PI) 3))))))
(+ (* -398308844029173303716389/6250000000000000000000 (* (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))) (* (pow z 3) (sin (* z (PI))))) (sqrt (pow (PI) 3)))) (+ (* -611458333333720910362579/25000000000000000000000 (* (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))) (* z (sin (* z (PI))))) (sqrt (pow (PI) 3)))) (+ (* 9999999999998099/10000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))) (sin (* z (PI)))))) (* 1078390842009938509147167/6250000000000000000000 (* (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))) (* (pow z 2) (sin (* z (PI))))) (sqrt (pow (PI) 3)))))))
(* 9999999999998099/10000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))) (sin (* z (PI))))))
(+ (* -611458333333720910362579/25000000000000000000000 (* (/ (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))) (* z (sin (* z (PI))))) (sqrt (pow (PI) 3)))) (* 9999999999998099/10000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))) (sin (* z (PI)))))))
(+ (* -1 (/ (+ (* -1078390842009938509147167/6250000000000000000000 (* (/ (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))) (* z (sin (* z (PI))))) (sqrt (pow (PI) 3)))) (* 611458333333720910362579/25000000000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))) (sin (* z (PI))))))) z)) (* 9999999999998099/10000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))) (sin (* z (PI)))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -398308844029173303716389/6250000000000000000000 (* (/ (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))) (* z (sin (* z (PI))))) (sqrt (pow (PI) 3)))) (* 1078390842009938509147167/6250000000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))) (sin (* z (PI))))))) z)) (* 611458333333720910362579/25000000000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))) (sin (* z (PI))))))) z)) (* 9999999999998099/10000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))) (sin (* z (PI)))))))
(/ 1 z)
(/ (+ 1 (* 1/6 (* (pow z 2) (pow (PI) 2)))) z)
(/ (+ 1 (* (pow z 2) (- (* -1 (* (pow z 2) (+ (* -1/36 (pow (PI) 4)) (* 1/120 (pow (PI) 4))))) (* -1/6 (pow (PI) 2))))) z)
(/ (+ 1 (* (pow z 2) (- (* (pow z 2) (- (* -1 (* (pow z 2) (+ (* -1/5040 (pow (PI) 6)) (+ (* 1/720 (pow (PI) 6)) (* 1/6 (* (pow (PI) 2) (+ (* -1/36 (pow (PI) 4)) (* 1/120 (pow (PI) 4))))))))) (+ (* -1/36 (pow (PI) 4)) (* 1/120 (pow (PI) 4))))) (* -1/6 (pow (PI) 2))))) z)
(/ (PI) (sin (* z (PI))))
(/ (PI) (sin (* z (PI))))
(/ (PI) (sin (* z (PI))))
(/ (PI) (sin (* z (PI))))
(/ (PI) (sin (* z (PI))))
(/ (PI) (sin (* z (PI))))
(/ (PI) (sin (* z (PI))))
(/ (PI) (sin (* z (PI))))
(* z (PI))
(* z (+ (PI) (* -1/6 (* (pow z 2) (pow (PI) 3)))))
(* z (+ (PI) (* (pow z 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow z 2) (pow (PI) 5)))))))
(* z (+ (PI) (* (pow z 2) (+ (* -1/6 (pow (PI) 3)) (* (pow z 2) (+ (* -1/5040 (* (pow z 2) (pow (PI) 7))) (* 1/120 (pow (PI) 5))))))))
(sin (* z (PI)))
(sin (* z (PI)))
(sin (* z (PI)))
(sin (* z (PI)))
(sin (* z (PI)))
(sin (* z (PI)))
(sin (* z (PI)))
(sin (* z (PI)))
3
(+ 3 (* -1 z))
(+ 3 (* -1 z))
(+ 3 (* -1 z))
(* -1 z)
(* z (- (* 3 (/ 1 z)) 1))
(* z (- (* 3 (/ 1 z)) 1))
(* z (- (* 3 (/ 1 z)) 1))
(* -1 z)
(* -1 (* z (- 1 (* 3 (/ 1 z)))))
(* -1 (* z (- 1 (* 3 (/ 1 z)))))
(* -1 (* z (- 1 (* 3 (/ 1 z)))))
4
(+ 4 (* -1 z))
(+ 4 (* -1 z))
(+ 4 (* -1 z))
(* -1 z)
(* z (- (* 4 (/ 1 z)) 1))
(* z (- (* 4 (/ 1 z)) 1))
(* z (- (* 4 (/ 1 z)) 1))
(* -1 z)
(* -1 (* z (- 1 (* 4 (/ 1 z)))))
(* -1 (* z (- 1 (* 4 (/ 1 z)))))
(* -1 (* z (- 1 (* 4 (/ 1 z)))))
5
(+ 5 (* -1 z))
(+ 5 (* -1 z))
(+ 5 (* -1 z))
(* -1 z)
(* z (- (* 5 (/ 1 z)) 1))
(* z (- (* 5 (/ 1 z)) 1))
(* z (- (* 5 (/ 1 z)) 1))
(* -1 z)
(* -1 (* z (- 1 (* 5 (/ 1 z)))))
(* -1 (* z (- 1 (* 5 (/ 1 z)))))
(* -1 (* z (- 1 (* 5 (/ 1 z)))))
6
(+ 6 (* -1 z))
(+ 6 (* -1 z))
(+ 6 (* -1 z))
(* -1 z)
(* z (- (* 6 (/ 1 z)) 1))
(* z (- (* 6 (/ 1 z)) 1))
(* z (- (* 6 (/ 1 z)) 1))
(* -1 z)
(* -1 (* z (- 1 (* 6 (/ 1 z)))))
(* -1 (* z (- 1 (* 6 (/ 1 z)))))
(* -1 (* z (- 1 (* 6 (/ 1 z)))))
(* 1106209385320415913103082059/4200000000000000000000000 (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))))
(+ (* 1106209385320415913103082059/4200000000000000000000000 (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))) (* z (* (exp -15/2) (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (sqrt 15/2)) (* (sqrt 15/2) (+ 102757979785251069442117317613/235200000000000000000000000 (* -1106209385320415913103082059/4200000000000000000000000 (+ 1/15 (log 15/2))))))))))
(+ (* 1106209385320415913103082059/4200000000000000000000000 (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))) (* z (* (exp -15/2) (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (sqrt 15/2)) (* (sqrt 15/2) (+ 102757979785251069442117317613/235200000000000000000000000 (* -1106209385320415913103082059/4200000000000000000000000 (+ 1/15 (log 15/2))))))))))
(+ (* 1106209385320415913103082059/4200000000000000000000000 (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))) (* z (* (exp -15/2) (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (sqrt 15/2)) (* (sqrt 15/2) (+ 102757979785251069442117317613/235200000000000000000000000 (* -1106209385320415913103082059/4200000000000000000000000 (+ 1/15 (log 15/2))))))))))
(* z (* (exp -15/2) (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (sqrt 15/2)) (* (sqrt 15/2) (+ 102757979785251069442117317613/235200000000000000000000000 (* -1106209385320415913103082059/4200000000000000000000000 (+ 1/15 (log 15/2)))))))))
(* z (+ (* 1106209385320415913103082059/4200000000000000000000000 (/ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) z)) (* (exp -15/2) (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (sqrt 15/2)) (* (sqrt 15/2) (+ 102757979785251069442117317613/235200000000000000000000000 (* -1106209385320415913103082059/4200000000000000000000000 (+ 1/15 (log 15/2))))))))))
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12777243138120953/60000000000000
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(+ 12777243138120953/60000000000000 (* z (+ 53758197989915921/720000000000000 (* z (+ 222980468271960011/8640000000000000 (* 36630596080989161/4147200000000000 z))))))
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(/ (- (* -1 (/ (+ 41160703924046283/10000000000000 (* 95223707106196353/10000000000000 (/ 1 z))) (pow z 2))) (+ 47576671969241/80000000000 (* 16075101696843969/10000000000000 (/ 1 z)))) z)
(/ -47576671969241/80000000000 z)
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(* -1 (/ (+ 47576671969241/80000000000 (+ (* 16075101696843969/10000000000000 (/ 1 z)) (/ 41160703924046283/10000000000000 (pow z 2)))) z))
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10409174657078461523082059/4200000000000000000000000
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(+ 10409174657078461523082059/4200000000000000000000000 (* z (+ 350291408665333106351952839/705600000000000000000000000 (* 11784999493416810208044520019/118540800000000000000000000000 z))))
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(+ (* -611458333333720910362579/25000000000000000000000 (* (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))) z) (sqrt (PI)))) (+ (* 9999999999998099/10000000000000000 (* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))))) (* 1078390842009938509147167/6250000000000000000000 (* (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))) (pow z 2)) (sqrt (PI))))))
(+ (* -398308844029173303716389/6250000000000000000000 (* (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))) (pow z 3)) (sqrt (PI)))) (+ (* -611458333333720910362579/25000000000000000000000 (* (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))) z) (sqrt (PI)))) (+ (* 9999999999998099/10000000000000000 (* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))))) (* 1078390842009938509147167/6250000000000000000000 (* (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))) (pow z 2)) (sqrt (PI)))))))
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(+ (* -611458333333720910362579/25000000000000000000000 (* (/ (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))) z) (sqrt (PI)))) (* 9999999999998099/10000000000000000 (* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))))
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(* (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 (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
(* -1 z)
(neg.f64 z)
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(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
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(* -1 z)
(neg.f64 z)
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(neg.f64 z)
(* -1 z)
(neg.f64 z)
479507597606835099/10000000000000000
#s(literal 479507597606835099/10000000000000000 binary64)
(+ 479507597606835099/10000000000000000 (* 904338909853211/2500000000000 z))
(fma.f64 z #s(literal 904338909853211/2500000000000 binary64) #s(literal 479507597606835099/10000000000000000 binary64))
(+ 479507597606835099/10000000000000000 (* z (+ 904338909853211/2500000000000 (* 2076511864126339/4000000000000 z))))
(fma.f64 z (fma.f64 z #s(literal 2076511864126339/4000000000000 binary64) #s(literal 904338909853211/2500000000000 binary64)) #s(literal 479507597606835099/10000000000000000 binary64))
(+ 479507597606835099/10000000000000000 (* z (+ 904338909853211/2500000000000 (* z (+ 2076511864126339/4000000000000 (* 23912966683069397/40000000000000 z))))))
(fma.f64 z (fma.f64 z (fma.f64 z #s(literal 23912966683069397/40000000000000 binary64) #s(literal 2076511864126339/4000000000000 binary64)) #s(literal 904338909853211/2500000000000 binary64)) #s(literal 479507597606835099/10000000000000000 binary64))
9999999999998099/10000000000000000
#s(literal 9999999999998099/10000000000000000 binary64)
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(+ 9999999999998099/10000000000000000 (* -1 (/ (- (* -1 (/ (+ 3683516130645841/2000000000000 (* 43600364987677261/10000000000000 (/ 1 z))) z)) 5826188486005177/10000000000000) z)))
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2
#s(literal 2 binary64)
(+ 2 (* -1 z))
(-.f64 #s(literal 2 binary64) z)
(+ 2 (* -1 z))
(-.f64 #s(literal 2 binary64) z)
(+ 2 (* -1 z))
(-.f64 #s(literal 2 binary64) z)
(* -1 z)
(neg.f64 z)
(* z (- (* 2 (/ 1 z)) 1))
(-.f64 (*.f64 z (/.f64 #s(literal 2 binary64) z)) z)
(* z (- (* 2 (/ 1 z)) 1))
(-.f64 (*.f64 z (/.f64 #s(literal 2 binary64) z)) z)
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(-.f64 (*.f64 z (/.f64 #s(literal 2 binary64) z)) z)
(* -1 z)
(neg.f64 z)
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(+.f64 (neg.f64 z) (*.f64 z (/.f64 #s(literal 2 binary64) z)))
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(+.f64 (neg.f64 z) (*.f64 z (/.f64 #s(literal 2 binary64) z)))
(* -1 (* z (- 1 (* 2 (/ 1 z)))))
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-15/2
#s(literal -15/2 binary64)
(- z 15/2)
(+.f64 z #s(literal -15/2 binary64))
(- z 15/2)
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(- z 15/2)
(+.f64 z #s(literal -15/2 binary64))
z
(* z (- 1 (* 15/2 (/ 1 z))))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -15/2 binary64) z)))
(* z (- 1 (* 15/2 (/ 1 z))))
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(* z (- 1 (* 15/2 (/ 1 z))))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -15/2 binary64) z)))
z
(* -1 (* z (- (* 15/2 (/ 1 z)) 1)))
(fma.f64 z (/.f64 #s(literal -15/2 binary64) z) z)
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(fma.f64 z (/.f64 #s(literal -15/2 binary64) z) z)
(* -1 (* z (- (* 15/2 (/ 1 z)) 1)))
(fma.f64 z (/.f64 #s(literal -15/2 binary64) z) z)
(* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) z) (sqrt (PI))))
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(+ (* 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)))))
(fma.f64 z (.f64 (sqrt.f64 (PI.f64)) (fma.f64 (.f64 (exp.f64 #s(literal -15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (sqrt.f64 #s(literal 15/2 binary64)) (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))) (sqrt.f64 #s(literal 15/2 binary64))) (.f64 z (fma.f64 (exp.f64 #s(literal -15/2 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (+.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 2 binary64)) #s(literal 29/225 binary64)) (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (.f64 (exp.f64 #s(literal -15/2 binary64)) #s(literal 1/2 binary64))))))) (.f64 (.f64 (exp.f64 #s(literal -15/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64)))) (sqrt.f64 (PI.f64))))
(+ (* 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)))))
(fma.f64 (.f64 z z) (.f64 (sqrt.f64 (PI.f64)) (fma.f64 z (fma.f64 (exp.f64 #s(literal -15/2 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (+.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 3 binary64)) (+.f64 #s(literal 86/10125 binary64) (fma.f64 (log.f64 #s(literal 15/2 binary64)) #s(literal -29/225 binary64) #s(literal -29/3375 binary64)))) (fma.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 2 binary64)) #s(literal 29/225 binary64)))) (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (.f64 (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))) (exp.f64 #s(literal -15/2 binary64)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (.f64 (exp.f64 #s(literal -15/2 binary64)) #s(literal 1/6 binary64))))) (fma.f64 (exp.f64 #s(literal -15/2 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (+.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 2 binary64)) #s(literal 29/225 binary64)) (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (.f64 (exp.f64 #s(literal -15/2 binary64)) #s(literal 1/2 binary64)))))) (.f64 (sqrt.f64 (PI.f64)) (fma.f64 (exp.f64 #s(literal -15/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (.f64 z (.f64 (.f64 (exp.f64 #s(literal -15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (sqrt.f64 #s(literal 15/2 binary64)) (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))) (sqrt.f64 #s(literal 15/2 binary64))))))))
(* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))))
(.f64 (exp.f64 (+.f64 z #s(literal -15/2 binary64))) (.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))))
(* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))))
(.f64 (exp.f64 (+.f64 z #s(literal -15/2 binary64))) (.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))))
(* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))))
(.f64 (exp.f64 (+.f64 z #s(literal -15/2 binary64))) (.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))))
(* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))))
(.f64 (exp.f64 (+.f64 z #s(literal -15/2 binary64))) (.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))))
(* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))
(.f64 (exp.f64 (+.f64 z #s(literal -15/2 binary64))) (.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))))
(* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))
(.f64 (exp.f64 (+.f64 z #s(literal -15/2 binary64))) (.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))))
(* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))
(.f64 (exp.f64 (+.f64 z #s(literal -15/2 binary64))) (.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))))
(* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))
(.f64 (exp.f64 (+.f64 z #s(literal -15/2 binary64))) (.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))))

rewrite48.0s (33.2%)

Memory

11.6MiB live, 764.2MiB allocated

Rules

3 790×	`lower-*.f32`
3 756×	`lower-*.f64`
3 682×	`lower-/.f32`
3 662×	`lower-/.f64`
2 398×	`lower-+.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	132	758
0	205	664
1	1086	643
0	8679	643

Stop Event

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

Counts

27 → 590

Calls

Call 1

Inputs
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 6765203681218851/10000000000000 binary64) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)))))
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z))
(neg.f64 (-.f64 #s(literal 15/2 binary64) z))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) #s(approx (* (* (pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2)) (* (sqrt (* 2 (PI))) (exp (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 #s(literal -15/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64)))) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))))
(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
(PI.f64)
(sin.f64 (*.f64 (PI.f64) z))
(+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))
(+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))
(+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 4 binary64))
(+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 5 binary64))
(fma.f64 (exp.f64 #s(literal -15/2 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (.f64 z (.f64 (.f64 (exp.f64 #s(literal -15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (sqrt.f64 #s(literal 15/2 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (fma.f64 (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64)))))))
(fma.f64 (sqrt.f64 #s(literal 15/2 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (fma.f64 (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64))))
(fma.f64 (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) #s(approx (* (* (pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2)) (* (sqrt (* 2 (PI))) (exp (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 (sqrt.f64 (PI.f64)) (fma.f64 (exp.f64 #s(literal -15/2 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (.f64 z (.f64 (.f64 (exp.f64 #s(literal -15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (sqrt.f64 #s(literal 15/2 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (fma.f64 (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64))))))))))
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64))
(exp.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) z) (log.f64 (-.f64 #s(literal 15/2 binary64) z)) (neg.f64 (-.f64 #s(literal 15/2 binary64) z))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))
#s(approx (* (* (pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2)) (* (sqrt (* 2 (PI))) (exp (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 #s(literal -15/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64)))) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))))
(sqrt.f64 (PI.f64))
(+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)))
(+.f64 (/.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 (+.f64 (/.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 (/.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)))))
#s(approx (* (* (pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2)) (* (sqrt (* 2 (PI))) (exp (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 (sqrt.f64 (PI.f64)) (fma.f64 (exp.f64 #s(literal -15/2 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (.f64 z (.f64 (.f64 (exp.f64 #s(literal -15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (sqrt.f64 #s(literal 15/2 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (fma.f64 (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64)))))))))
(*.f64 (exp.f64 #s(literal -15/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (+.f64 z #s(literal -15/2 binary64)))) (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))))

Outputs
(+.f64 #s(literal 1 binary64) (neg.f64 (+.f64 z #s(literal 1 binary64))))
(+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (+.f64 z #s(literal 1 binary64)))
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(-.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) z) (.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))) (fma.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 2 binary64) z))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 2 binary64) z))))
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) z)))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (fma.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))))) #s(literal -1 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 z z z))) #s(literal -1 binary64))
(fma.f64 (fma.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 2 binary64) z)) (fma.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) z) (fma.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))))
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 2 binary64) z)))
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))))
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (-.f64 #s(literal 2 binary64) z))
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eval366.0ms (0.3%)

Memory: -18.6MiB live, 937.9MiB allocated
Compiler: Compiled 180 128 to 8 110 computations (95.5% saved)

prune329.0ms (0.2%)

Memory

2.0MiB live, 881.8MiB allocated

Pruning

35 alts after pruning (35 fresh and 0 done)

	Pruned	Kept	Total
New	1 787	33	1 820
Fresh	11	2	13
Picked	5	0	5
Done	0	0	0
Total	1 803	35	1 838

Accuracy

100.0%

Counts

1 838 → 35

Alt Table

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Status	Accuracy	Program
	95.1%	(/.f64 (.f64 (PI.f64) #s(approx ( (* (pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2)) (* (sqrt (* 2 (PI))) (exp (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 #s(literal -15/2 binary64)) (sqrt.f64 #s(literal 15 binary64))) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))))) (sin.f64 (.f64 z (PI.f64))))
	96.0%	(/.f64 (.f64 (PI.f64) #s(approx ( (* (pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2)) (* (sqrt (* 2 (PI))) (exp (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 (sqrt.f64 (PI.f64)) (fma.f64 (.f64 z (.f64 (exp.f64 #s(literal -15/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (fma.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (+.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 2/15 binary64))) #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64)))) (.f64 (exp.f64 #s(literal -15/2 binary64)) (.f64 (sqrt.f64 #s(literal 15 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))))))) (sin.f64 (*.f64 z (PI.f64))))
	95.1%	(/.f64 #s(approx (* (* (pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2)) (* (sqrt (* 2 (PI))) (exp (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 #s(literal -15/2 binary64)) (sqrt.f64 #s(literal 15 binary64))) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))) (/.f64 (sin.f64 (.f64 z (PI.f64))) (PI.f64)))
	97.6%	(.f64 (/.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (sin.f64 (.f64 (PI.f64) z))) (.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))) (+.f64 (/.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 (+.f64 (/.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 (/.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 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 (neg.f64 (-.f64 #s(literal 15/2 binary64) z)))))))
	94.4%	(.f64 (/.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (sin.f64 (.f64 (PI.f64) z))) #s(approx ( (* (pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2)) (* (sqrt (* 2 (PI))) (exp (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 #s(literal -15/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64)))) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))))
	96.1%	(.f64 (/.f64 (cbrt.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))) (sin.f64 (.f64 (PI.f64) z))) #s(approx (* (* (pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2)) (* (sqrt (* 2 (PI))) (exp (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 #s(literal -15/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64)))) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))))
▶	96.2%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) z))) #s(approx ( (* (pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2)) (* (sqrt (* 2 (PI))) (exp (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 #s(literal -15/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64)))) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))))
	97.0%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) z))) #s(approx ( (* (pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2)) (* (sqrt (* 2 (PI))) (exp (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 (sqrt.f64 (PI.f64)) (fma.f64 (exp.f64 #s(literal -15/2 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (.f64 z (.f64 (.f64 (exp.f64 #s(literal -15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (sqrt.f64 #s(literal 15/2 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (fma.f64 (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64))))))))))
	96.7%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 (fma.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 2 binary64) z) (.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3147848041806007/2500000000000 binary64))) (.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 2 binary64) z))) (+.f64 (/.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 (+.f64 (/.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 (/.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 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 (neg.f64 (-.f64 #s(literal 15/2 binary64) z)))))))
	96.5%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))) (+.f64 (/.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)))))) #s(approx (+ (+ (/ 2501468655737381/200000000000000 (+ (- 1 z) 4)) (/ -3464277381643003/25000000000000000 (+ (- 1 z) 5))) (+ (/ 2496092394504893/250000000000000000000 (+ (- 1 z) 6)) (/ 3764081837873279/25000000000000000000000 (+ (- 1 z) 7)))) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 396401817189495604203614369999/19914854400000000000000000000000 binary64) #s(literal 11784999493416810208044520019/118540800000000000000000000000 binary64)) #s(literal 350291408665333106351952839/705600000000000000000000000 binary64)) #s(literal 10409174657078461523082059/4200000000000000000000000 binary64)))) (.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 (neg.f64 (-.f64 #s(literal 15/2 binary64) z)))))))
▶	96.2%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))) (+.f64 (/.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)))))) #s(approx (+ (+ (/ 2501468655737381/200000000000000 (+ (- 1 z) 4)) (/ -3464277381643003/25000000000000000 (+ (- 1 z) 5))) (+ (/ 2496092394504893/250000000000000000000 (+ (- 1 z) 6)) (/ 3764081837873279/25000000000000000000000 (+ (- 1 z) 7)))) (fma.f64 z (fma.f64 z #s(literal 11784999493416810208044520019/118540800000000000000000000000 binary64) #s(literal 350291408665333106351952839/705600000000000000000000000 binary64)) #s(literal 10409174657078461523082059/4200000000000000000000000 binary64)))) (.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 (neg.f64 (-.f64 #s(literal 15/2 binary64) z)))))))
	95.8%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))) (+.f64 (/.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)))))) #s(approx (+ (+ (/ 2501468655737381/200000000000000 (+ (- 1 z) 4)) (/ -3464277381643003/25000000000000000 (+ (- 1 z) 5))) (+ (/ 2496092394504893/250000000000000000000 (+ (- 1 z) 6)) (/ 3764081837873279/25000000000000000000000 (+ (- 1 z) 7)))) (fma.f64 z #s(literal 350291408665333106351952839/705600000000000000000000000 binary64) #s(literal 10409174657078461523082059/4200000000000000000000000 binary64)))) (.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 (neg.f64 (-.f64 #s(literal 15/2 binary64) z)))))))
	95.1%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))) (+.f64 (/.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)))))) #s(approx (+ (+ (/ 2501468655737381/200000000000000 (+ (- 1 z) 4)) (/ -3464277381643003/25000000000000000 (+ (- 1 z) 5))) (+ (/ 2496092394504893/250000000000000000000 (+ (- 1 z) 6)) (/ 3764081837873279/25000000000000000000000 (+ (- 1 z) 7)))) #s(literal 10409174657078461523082059/4200000000000000000000000 binary64))) (.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 (neg.f64 (-.f64 #s(literal 15/2 binary64) z)))))))
	96.7%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) #s(approx (+ (- 1 z) 2) (-.f64 #s(literal 3 binary64) z))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)))))) (+.f64 (+.f64 (/.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 (/.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 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 (neg.f64 (-.f64 #s(literal 15/2 binary64) z)))))))
	97.5%	(.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 #s(literal 1/2 binary64) z) (log.f64 (-.f64 #s(literal 15/2 binary64) z)) (neg.f64 (-.f64 #s(literal 15/2 binary64) z))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 6765203681218851/10000000000000 binary64) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 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))))))
	97.5%	(.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 #s(literal 1/2 binary64) z) (log.f64 (-.f64 #s(literal 15/2 binary64) z)) (neg.f64 (-.f64 #s(literal 15/2 binary64) z))))) (+.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 #s(literal 2 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))))))
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	96.0%	(.f64 #s(approx (/ (PI) (sin ( (PI) z))) (/.f64 (fma.f64 (.f64 z z) (.f64 #s(literal 1/6 binary64) (.f64 (PI.f64) (PI.f64))) #s(literal 1 binary64)) z)) (.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))) (+.f64 (/.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 (+.f64 (/.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 (/.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 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 (neg.f64 (-.f64 #s(literal 15/2 binary64) z)))))))
	95.1%	(.f64 #s(approx (/ (PI) (sin ( (PI) z))) (/.f64 (fma.f64 (.f64 z z) (.f64 #s(literal 1/6 binary64) (.f64 (PI.f64) (PI.f64))) #s(literal 1 binary64)) z)) #s(approx ( (* (pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2)) (* (sqrt (* 2 (PI))) (exp (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 #s(literal -15/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64)))) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))))
	95.1%	(.f64 #s(approx (/ (PI) (sin ( (PI) z))) (/.f64 (fma.f64 z (.f64 z (fma.f64 (.f64 z z) (.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 7/360 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 (PI.f64) (PI.f64))))) #s(literal 1 binary64)) z)) #s(approx ( (* (pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2)) (* (sqrt (* 2 (PI))) (exp (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 #s(literal -15/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64)))) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))))
	95.3%	(.f64 #s(approx (/ (PI) (sin ( (PI) z))) (/.f64 #s(literal 1 binary64) z)) (.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))) (+.f64 (/.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 (+.f64 (/.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 (/.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 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 (neg.f64 (-.f64 #s(literal 15/2 binary64) z)))))))
	95.8%	(.f64 #s(approx (/ (PI) (sin ( (PI) z))) (/.f64 #s(literal 1 binary64) z)) (.f64 (.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) z) (log.f64 (-.f64 #s(literal 15/2 binary64) z)) (neg.f64 (-.f64 #s(literal 15/2 binary64) z))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 6765203681218851/10000000000000 binary64) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 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))))))
	95.1%	(.f64 #s(approx (/ (PI) (sin ( (PI) z))) (/.f64 #s(literal 1 binary64) z)) #s(approx (* (* (pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2)) (* (sqrt (* 2 (PI))) (exp (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 #s(literal -15/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64)))) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))))
	95.9%	(.f64 #s(approx (/ (PI) (sin ( (PI) z))) (/.f64 #s(literal 1 binary64) z)) #s(approx (* (* (pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2)) (* (sqrt (* 2 (PI))) (exp (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 (sqrt.f64 (PI.f64)) (fma.f64 (exp.f64 #s(literal -15/2 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (.f64 z (.f64 (.f64 (exp.f64 #s(literal -15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (sqrt.f64 #s(literal 15/2 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (fma.f64 (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64))))))))))
▶	95.9%	#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2)) (* (sqrt (* 2 (PI))) (exp (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 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (/.f64 (exp.f64 #s(literal -15/2 binary64)) z)) (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64)))))

Compiler

Compiled 4 162 to 2 712 computations (34.8% saved)

simplify277.0ms (0.2%)

Memory

13.1MiB live, 412.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))) (+.f64 (/.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)))))) #s(approx (+ (+ (/ 2501468655737381/200000000000000 (+ (- 1 z) 4)) (/ -3464277381643003/25000000000000000 (+ (- 1 z) 5))) (+ (/ 2496092394504893/250000000000000000000 (+ (- 1 z) 6)) (/ 3764081837873279/25000000000000000000000 (+ (- 1 z) 7)))) (fma.f64 z (fma.f64 z #s(literal 11784999493416810208044520019/118540800000000000000000000000 binary64) #s(literal 350291408665333106351952839/705600000000000000000000000 binary64)) #s(literal 10409174657078461523082059/4200000000000000000000000 binary64)))) (.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 (neg.f64 (-.f64 #s(literal 15/2 binary64) z)))))))
cost-diff	128	(neg.f64 (-.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 2 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	(PI.f64)
cost-diff	0	(/.f64 (PI.f64) (sin.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) z)))
cost-diff	0	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) z))) #s(approx ( (* (pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2)) (* (sqrt (* 2 (PI))) (exp (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 #s(literal -15/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64)))) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))))
cost-diff	1600	(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
cost-diff	0	(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64)))
cost-diff	0	(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (/.f64 (exp.f64 #s(literal -15/2 binary64)) z))
cost-diff	0	(.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (/.f64 (exp.f64 #s(literal -15/2 binary64)) z)) (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))))
cost-diff	0	#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2)) (* (sqrt (* 2 (PI))) (exp (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 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (/.f64 (exp.f64 #s(literal -15/2 binary64)) z)) (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64)))))
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	128	(neg.f64 (-.f64 #s(literal 15/2 binary64) z))
cost-diff	256	(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))

Rules

5 248×	`lower-*.f32`
5 206×	`lower-*.f64`
4 216×	`lower-fma.f32`
4 206×	`lower-fma.f64`
3 190×	`lower-+.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	181	2652
0	289	2350
1	575	1980
2	1997	1950
0	8153	1950

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 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) z) (log.f64 (-.f64 #s(literal 15/2 binary64) z)) (neg.f64 (-.f64 #s(literal 15/2 binary64) z))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #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 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 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) z) (log.f64 (-.f64 #s(literal 15/2 binary64) z)) (neg.f64 (-.f64 #s(literal 15/2 binary64) z))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #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 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 (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) z) (log.f64 (-.f64 #s(literal 15/2 binary64) z)) (neg.f64 (-.f64 #s(literal 15/2 binary64) z)))))
(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 #s(literal 1/2 binary64) z) (log.f64 (-.f64 #s(literal 15/2 binary64) z)) (neg.f64 (-.f64 #s(literal 15/2 binary64) z))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) z) (log.f64 (-.f64 #s(literal 15/2 binary64) z)) (neg.f64 (-.f64 #s(literal 15/2 binary64) z)))
(-.f64 #s(literal 1/2 binary64) z)
#s(literal 1/2 binary64)
(log.f64 (-.f64 #s(literal 15/2 binary64) z))
(-.f64 #s(literal 15/2 binary64) z)
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(fma.f64 z (fma.f64 z #s(literal 2076511864126339/4000000000000 binary64) #s(literal 904338909853211/2500000000000 binary64)) #s(literal 479507597606835099/10000000000000000 binary64))
(fma.f64 z #s(literal 2076511864126339/4000000000000 binary64) #s(literal 904338909853211/2500000000000 binary64))
#s(literal 2076511864126339/4000000000000 binary64)
#s(literal 904338909853211/2500000000000 binary64)
#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)))
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(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))
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(/.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 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))) (+.f64 (/.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)))))) #s(approx (+ (+ (/ 2501468655737381/200000000000000 (+ (- 1 z) 4)) (/ -3464277381643003/25000000000000000 (+ (- 1 z) 5))) (+ (/ 2496092394504893/250000000000000000000 (+ (- 1 z) 6)) (/ 3764081837873279/25000000000000000000000 (+ (- 1 z) 7)))) (fma.f64 z (fma.f64 z #s(literal 11784999493416810208044520019/118540800000000000000000000000 binary64) #s(literal 350291408665333106351952839/705600000000000000000000000 binary64)) #s(literal 10409174657078461523082059/4200000000000000000000000 binary64)))) (.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 (neg.f64 (-.f64 #s(literal 15/2 binary64) z))))))
(+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))) (+.f64 (/.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)))))) #s(approx (+ (+ (/ 2501468655737381/200000000000000 (+ (- 1 z) 4)) (/ -3464277381643003/25000000000000000 (+ (- 1 z) 5))) (+ (/ 2496092394504893/250000000000000000000 (+ (- 1 z) 6)) (/ 3764081837873279/25000000000000000000000 (+ (- 1 z) 7)))) (fma.f64 z (fma.f64 z #s(literal 11784999493416810208044520019/118540800000000000000000000000 binary64) #s(literal 350291408665333106351952839/705600000000000000000000000 binary64)) #s(literal 10409174657078461523082059/4200000000000000000000000 binary64))))
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#s(literal 9999999999998099/10000000000000000 binary64)
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(/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))
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#s(literal -3147848041806007/2500000000000 binary64)
(-.f64 #s(literal 2 binary64) z)
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(/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))
#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)))
#s(literal -883075145810703/5000000000000 binary64)
(+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))
#s(literal 3 binary64)
#s(approx (+ (+ (/ 2501468655737381/200000000000000 (+ (- 1 z) 4)) (/ -3464277381643003/25000000000000000 (+ (- 1 z) 5))) (+ (/ 2496092394504893/250000000000000000000 (+ (- 1 z) 6)) (/ 3764081837873279/25000000000000000000000 (+ (- 1 z) 7)))) (fma.f64 z (fma.f64 z #s(literal 11784999493416810208044520019/118540800000000000000000000000 binary64) #s(literal 350291408665333106351952839/705600000000000000000000000 binary64)) #s(literal 10409174657078461523082059/4200000000000000000000000 binary64)))
(fma.f64 z (fma.f64 z #s(literal 11784999493416810208044520019/118540800000000000000000000000 binary64) #s(literal 350291408665333106351952839/705600000000000000000000000 binary64)) #s(literal 10409174657078461523082059/4200000000000000000000000 binary64))
(fma.f64 z #s(literal 11784999493416810208044520019/118540800000000000000000000000 binary64) #s(literal 350291408665333106351952839/705600000000000000000000000 binary64))
#s(literal 11784999493416810208044520019/118540800000000000000000000000 binary64)
#s(literal 350291408665333106351952839/705600000000000000000000000 binary64)
#s(literal 10409174657078461523082059/4200000000000000000000000 binary64)
(.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 (neg.f64 (-.f64 #s(literal 15/2 binary64) z)))))
(pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))
(-.f64 #s(literal 15/2 binary64) z)
#s(literal 15/2 binary64)
(-.f64 #s(literal 1/2 binary64) z)
#s(literal 1/2 binary64)
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 (neg.f64 (-.f64 #s(literal 15/2 binary64) z))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))
(*.f64 #s(literal 2 binary64) (PI.f64))
(exp.f64 (neg.f64 (-.f64 #s(literal 15/2 binary64) z)))
(neg.f64 (-.f64 #s(literal 15/2 binary64) z))

Outputs
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(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
(PI.f64)
(sin.f64 (*.f64 (PI.f64) z))
(*.f64 (PI.f64) z)
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localize1.5s (1%)

Memory

-252.7MiB live, 1 773.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.9765625	(+.f64 (/.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))))
accuracy	1.0	(sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))
accuracy	1.050903810328323	(+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)))
accuracy	1.1533609240070435	#s(approx (+ (+ (/ 2501468655737381/200000000000000 (+ (- 1 z) 4)) (/ -3464277381643003/25000000000000000 (+ (- 1 z) 5))) (+ (/ 2496092394504893/250000000000000000000 (+ (- 1 z) 6)) (/ 3764081837873279/25000000000000000000000 (+ (- 1 z) 7)))) (fma.f64 z (fma.f64 z #s(literal 11784999493416810208044520019/118540800000000000000000000000 binary64) #s(literal 350291408665333106351952839/705600000000000000000000000 binary64)) #s(literal 10409174657078461523082059/4200000000000000000000000 binary64)))
accuracy	1.0	(sqrt.f64 (PI.f64))
accuracy	1.4035642202481393	#s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 z (fma.f64 z #s(literal 2076511864126339/4000000000000 binary64) #s(literal 904338909853211/2500000000000 binary64)) #s(literal 479507597606835099/10000000000000000 binary64)))
accuracy	2.259030914303938	#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 (sqrt.f64 (PI.f64)) (.f64 (exp.f64 #s(literal -15/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))))))
accuracy	57.608075581242986	(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
accuracy	0.30078125	(/.f64 (PI.f64) (sin.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) z)))
accuracy	1.0	(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
accuracy	1.0	(sqrt.f64 (PI.f64))
accuracy	2.1812470084241142	#s(approx (* (* (pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2)) (* (sqrt (* 2 (PI))) (exp (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 #s(literal -15/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64)))) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))))
accuracy	0.34765625	(.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (/.f64 (exp.f64 #s(literal -15/2 binary64)) z)) (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))))
accuracy	0.51953125	(/.f64 (exp.f64 #s(literal -15/2 binary64)) z)
accuracy	1.0	(sqrt.f64 (PI.f64))
accuracy	2.1990175176782922	#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2)) (* (sqrt (* 2 (PI))) (exp (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 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (/.f64 (exp.f64 #s(literal -15/2 binary64)) z)) (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64)))))
accuracy	1.0	(sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))
accuracy	1.050903810328323	(+.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)))
accuracy	1.5389686041945208	(exp.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) z) (log.f64 (-.f64 #s(literal 15/2 binary64) z)) (neg.f64 (-.f64 #s(literal 15/2 binary64) z))))
accuracy	57.608075581242986	(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))

Samples

782.0ms	157×	1	valid
286.0ms	73×	2	valid
38.0ms	26×	0	valid

Compiler

Compiled 2 481 to 157 computations (93.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 955.0ms

const: 410.0ms (42.9% of total)

ival-add: 138.0ms (14.4% of total)

ival-mult: 119.0ms (12.5% of total)

adjust: 99.0ms (10.4% of total)

ival-div: 56.0ms (5.9% of total)

ival-sub: 32.0ms (3.3% of total)

ival-pow: 32.0ms (3.3% of total)

ival-exp: 28.0ms (2.9% of total)

ival-sqrt: 13.0ms (1.4% of total)

ival-log: 10.0ms (1% of total)

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

ival-neg: 7.0ms (0.7% 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)

series33.0ms (0%)

Memory

-2.4MiB live, 50.5MiB allocated

Counts

27 → 264

Calls

Call 1

Inputs
#s(alt (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) (patch (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (neg.f64 (-.f64 #s(literal 15/2 binary64) z)) (patch (neg.f64 (-.f64 #s(literal 15/2 binary64) z)) #<representation binary64>) () ())
#s(alt (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)) (patch (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)) (patch (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2)) (* (sqrt (* 2 (PI))) (exp (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 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (/.f64 (exp.f64 #s(literal -15/2 binary64)) z)) (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))))) (patch #s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2)) (* (sqrt (* 2 (PI))) (exp (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 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (/.f64 (exp.f64 #s(literal -15/2 binary64)) z)) (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (/.f64 (exp.f64 #s(literal -15/2 binary64)) z)) (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64)))) (patch (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (/.f64 (exp.f64 #s(literal -15/2 binary64)) z)) (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64)))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (/.f64 (exp.f64 #s(literal -15/2 binary64)) z)) (patch (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (/.f64 (exp.f64 #s(literal -15/2 binary64)) z)) #<representation binary64>) () ())
#s(alt (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (patch (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (patch (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) z))) #s(approx ( (* (pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2)) (* (sqrt (* 2 (PI))) (exp (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 #s(literal -15/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64)))) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))))) (patch (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) z))) #s(approx ( (* (pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2)) (* (sqrt (* 2 (PI))) (exp (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 #s(literal -15/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64)))) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))))) #<representation binary64>) () ())
#s(alt (/.f64 (PI.f64) (sin.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) z))) (patch (/.f64 (PI.f64) (sin.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) z))) #<representation binary64>) () ())
#s(alt (PI.f64) (patch (PI.f64) #<representation binary64>) () ())
#s(alt (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)) (patch (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) (patch (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) (patch (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))) (+.f64 (/.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)))))) #s(approx (+ (+ (/ 2501468655737381/200000000000000 (+ (- 1 z) 4)) (/ -3464277381643003/25000000000000000 (+ (- 1 z) 5))) (+ (/ 2496092394504893/250000000000000000000 (+ (- 1 z) 6)) (/ 3764081837873279/25000000000000000000000 (+ (- 1 z) 7)))) (fma.f64 z (fma.f64 z #s(literal 11784999493416810208044520019/118540800000000000000000000000 binary64) #s(literal 350291408665333106351952839/705600000000000000000000000 binary64)) #s(literal 10409174657078461523082059/4200000000000000000000000 binary64)))) (.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 (neg.f64 (-.f64 #s(literal 15/2 binary64) z))))))) (patch (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))) (+.f64 (/.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)))))) #s(approx (+ (+ (/ 2501468655737381/200000000000000 (+ (- 1 z) 4)) (/ -3464277381643003/25000000000000000 (+ (- 1 z) 5))) (+ (/ 2496092394504893/250000000000000000000 (+ (- 1 z) 6)) (/ 3764081837873279/25000000000000000000000 (+ (- 1 z) 7)))) (fma.f64 z (fma.f64 z #s(literal 11784999493416810208044520019/118540800000000000000000000000 binary64) #s(literal 350291408665333106351952839/705600000000000000000000000 binary64)) #s(literal 10409174657078461523082059/4200000000000000000000000 binary64)))) (.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 (neg.f64 (-.f64 #s(literal 15/2 binary64) z))))))) #<representation binary64>) () ())
#s(alt (exp.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) z) (log.f64 (-.f64 #s(literal 15/2 binary64) z)) (neg.f64 (-.f64 #s(literal 15/2 binary64) z)))) (patch (exp.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) z) (log.f64 (-.f64 #s(literal 15/2 binary64) z)) (neg.f64 (-.f64 #s(literal 15/2 binary64) z)))) #<representation binary64>) () ())
#s(alt (+.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))) (patch (+.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))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))) (patch (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (PI.f64)) (patch (sqrt.f64 (PI.f64)) #<representation binary64>) () ())
#s(alt (/.f64 (exp.f64 #s(literal -15/2 binary64)) z) (patch (/.f64 (exp.f64 #s(literal -15/2 binary64)) z) #<representation binary64>) () ())
#s(alt #s(approx (* (* (pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2)) (* (sqrt (* 2 (PI))) (exp (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 #s(literal -15/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64)))) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))) (patch #s(approx (* (* (pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2)) (* (sqrt (* 2 (PI))) (exp (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 #s(literal -15/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64)))) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))) #<representation binary64>) () ())
#s(alt #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 (sqrt.f64 (PI.f64)) (.f64 (exp.f64 #s(literal -15/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64)))))) (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 (sqrt.f64 (PI.f64)) (.f64 (exp.f64 #s(literal -15/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64)))))) #<representation binary64>) () ())
#s(alt #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 z (fma.f64 z #s(literal 2076511864126339/4000000000000 binary64) #s(literal 904338909853211/2500000000000 binary64)) #s(literal 479507597606835099/10000000000000000 binary64))) (patch #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 z (fma.f64 z #s(literal 2076511864126339/4000000000000 binary64) #s(literal 904338909853211/2500000000000 binary64)) #s(literal 479507597606835099/10000000000000000 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (+ (+ (/ 2501468655737381/200000000000000 (+ (- 1 z) 4)) (/ -3464277381643003/25000000000000000 (+ (- 1 z) 5))) (+ (/ 2496092394504893/250000000000000000000 (+ (- 1 z) 6)) (/ 3764081837873279/25000000000000000000000 (+ (- 1 z) 7)))) (fma.f64 z (fma.f64 z #s(literal 11784999493416810208044520019/118540800000000000000000000000 binary64) #s(literal 350291408665333106351952839/705600000000000000000000000 binary64)) #s(literal 10409174657078461523082059/4200000000000000000000000 binary64))) (patch #s(approx (+ (+ (/ 2501468655737381/200000000000000 (+ (- 1 z) 4)) (/ -3464277381643003/25000000000000000 (+ (- 1 z) 5))) (+ (/ 2496092394504893/250000000000000000000 (+ (- 1 z) 6)) (/ 3764081837873279/25000000000000000000000 (+ (- 1 z) 7)))) (fma.f64 z (fma.f64 z #s(literal 11784999493416810208044520019/118540800000000000000000000000 binary64) #s(literal 350291408665333106351952839/705600000000000000000000000 binary64)) #s(literal 10409174657078461523082059/4200000000000000000000000 binary64))) #<representation binary64>) () ())
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Outputs
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#s(alt (* -1 (/ (+ 47576671969241/80000000000 (* 16075101696843969/10000000000000 (/ 1 z))) z)) (taylor -inf z) (#s(alt (+.f64 (/.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)))) (patch (+.f64 (/.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)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 47576671969241/80000000000 (+ (* 16075101696843969/10000000000000 (/ 1 z)) (/ 41160703924046283/10000000000000 (pow z 2)))) z)) (taylor -inf z) (#s(alt (+.f64 (/.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)))) (patch (+.f64 (/.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)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 47576671969241/80000000000 (* -1 (/ (- (* -1 (/ (+ 41160703924046283/10000000000000 (* 95223707106196353/10000000000000 (/ 1 z))) z)) 16075101696843969/10000000000000) z))) z)) (taylor -inf z) (#s(alt (+.f64 (/.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)))) (patch (+.f64 (/.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)))) #<representation binary64>) () ())) ())

Calls

66 calls:

Time	Variable		Point	Expression
1.0ms	z	@	0	(* (* (* (sqrt 2) (sqrt 15/2)) (/ (exp -15/2) z)) (* 1106209385320415913103082059/4200000000000000000000000 (sqrt (PI))))
1.0ms	z	@	inf	(* (* (* (sqrt 2) (sqrt 15/2)) (/ (exp -15/2) z)) (* 1106209385320415913103082059/4200000000000000000000000 (sqrt (PI))))
0.0ms	z	@	0	(* (/ (PI) (sin (* (PI) z))) (* (+ (+ 9999999999998099/10000000000000000 (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (/ -3147848041806007/2500000000000 (- 2 z))) (+ (/ 7713234287776531/10000000000000 (+ (- 1 z) 2)) (/ -883075145810703/5000000000000 (+ (- 1 z) 3))))) (+ (+ (/ 2501468655737381/200000000000000 (+ (- 1 z) 4)) (/ -3464277381643003/25000000000000000 (+ (- 1 z) 5))) (+ (/ 2496092394504893/250000000000000000000 (+ (- 1 z) 6)) (/ 3764081837873279/25000000000000000000000 (+ (- 1 z) 7))))) (* (pow (- 15/2 z) (- 1/2 z)) (* (sqrt (* 2 (PI))) (exp (neg (- 15/2 z)))))))
0.0ms	z	@	-inf	(* (/ (PI) (sin (* (PI) z))) (* (+ (+ 9999999999998099/10000000000000000 (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (/ -3147848041806007/2500000000000 (- 2 z))) (+ (/ 7713234287776531/10000000000000 (+ (- 1 z) 2)) (/ -883075145810703/5000000000000 (+ (- 1 z) 3))))) (+ (+ (/ 2501468655737381/200000000000000 (+ (- 1 z) 4)) (/ -3464277381643003/25000000000000000 (+ (- 1 z) 5))) (+ (/ 2496092394504893/250000000000000000000 (+ (- 1 z) 6)) (/ 3764081837873279/25000000000000000000000 (+ (- 1 z) 7))))) (* (pow (- 15/2 z) (- 1/2 z)) (* (sqrt (* 2 (PI))) (exp (neg (- 15/2 z)))))))
0.0ms	z	@	inf	(* (/ (PI) (sin (* (PI) z))) (* (+ (+ 9999999999998099/10000000000000000 (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (/ -3147848041806007/2500000000000 (- 2 z))) (+ (/ 7713234287776531/10000000000000 (+ (- 1 z) 2)) (/ -883075145810703/5000000000000 (+ (- 1 z) 3))))) (+ (+ (/ 2501468655737381/200000000000000 (+ (- 1 z) 4)) (/ -3464277381643003/25000000000000000 (+ (- 1 z) 5))) (+ (/ 2496092394504893/250000000000000000000 (+ (- 1 z) 6)) (/ 3764081837873279/25000000000000000000000 (+ (- 1 z) 7))))) (* (pow (- 15/2 z) (- 1/2 z)) (* (sqrt (* 2 (PI))) (exp (neg (- 15/2 z)))))))

simplify455.0ms (0.3%)

Memory

38.3MiB live, 786.0MiB allocated

Algorithm

1×	egg-herbie

Rules

9 072×	`lower-fma.f64`
9 072×	`lower-fma.f32`
7 168×	`lower-*.f64`
7 168×	`lower-*.f32`
3 326×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	540	6535
1	1669	6305
2	5867	5774
0	8518	5519

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 262

Calls

Call 1

Inputs
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
-15/2
(- z 15/2)
(- z 15/2)
(- z 15/2)
z
(* z (- 1 (* 15/2 (/ 1 z))))
(* z (- 1 (* 15/2 (/ 1 z))))
(* z (- 1 (* 15/2 (/ 1 z))))
z
(* -1 (* z (- (* 15/2 (/ 1 z)) 1)))
(* -1 (* z (- (* 15/2 (/ 1 z)) 1)))
(* -1 (* z (- (* 15/2 (/ 1 z)) 1)))
3
(+ 3 (* -1 z))
(+ 3 (* -1 z))
(+ 3 (* -1 z))
(* -1 z)
(* z (- (* 3 (/ 1 z)) 1))
(* z (- (* 3 (/ 1 z)) 1))
(* z (- (* 3 (/ 1 z)) 1))
(* -1 z)
(* -1 (* z (- 1 (* 3 (/ 1 z)))))
(* -1 (* z (- 1 (* 3 (/ 1 z)))))
(* -1 (* z (- 1 (* 3 (/ 1 z)))))
4
(+ 4 (* -1 z))
(+ 4 (* -1 z))
(+ 4 (* -1 z))
(* -1 z)
(* z (- (* 4 (/ 1 z)) 1))
(* z (- (* 4 (/ 1 z)) 1))
(* z (- (* 4 (/ 1 z)) 1))
(* -1 z)
(* -1 (* z (- 1 (* 4 (/ 1 z)))))
(* -1 (* z (- 1 (* 4 (/ 1 z)))))
(* -1 (* z (- 1 (* 4 (/ 1 z)))))
(* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) z) (sqrt (PI))))
(/ (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))))) (* (* z (+ (* 1106209385320415913103082059/4200000000000000000000000 (/ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) (PI))) (/ (* (exp -15/2) (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2))))) (PI)))) (sqrt (pow (PI) 3)))) z)
(/ (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))))) (* z (+ (* (sqrt (pow (PI) 3)) (+ (* 1106209385320415913103082059/4200000000000000000000000 (/ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) (PI))) (/ (* (exp -15/2) (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2))))) (PI)))) (* (* z (- (+ (* 1106209385320415913103082059/8400000000000000000000000 (/ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) (PI))) (+ (/ (* (exp -15/2) (* (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) (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2))))) (PI)))) (* -1106209385320415913103082059/25200000000000000000000000 (* (PI) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))))))) (sqrt (pow (PI) 3)))))) z)
(/ (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))))) (* z (+ (* z (+ (* (sqrt (pow (PI) 3)) (- (+ (* 1106209385320415913103082059/8400000000000000000000000 (/ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) (PI))) (+ (/ (* (exp -15/2) (* (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) (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2))))) (PI)))) (* -1106209385320415913103082059/25200000000000000000000000 (* (PI) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))))))) (* (* z (- (+ (* 1/2 (/ (* (exp -15/2) (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2))))) (PI))) (+ (* 1106209385320415913103082059/25200000000000000000000000 (/ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) (PI))) (+ (/ (* (exp -15/2) (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (+ 86/10125 (+ (* 29/225 (- (* -1 (log 15/2)) 1/15)) (* 1/6 (pow (- (* -1 (log 15/2)) 1/15) 3)))))) (+ (* 102757979785251069442117317613/235200000000000000000000000 (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (+ (* 64608921419941589693928044520019/118540800000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 4027292589444183035165374538123333/6638284800000000000000000000000 (sqrt 15/2))))))) (PI)) (/ (* (exp -15/2) (* (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))))) (* -1/6 (* (pow (PI) 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (/ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) (PI))) (/ (* (exp -15/2) (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2))))) (PI))))))) (sqrt (pow (PI) 3))))) (* (sqrt (pow (PI) 3)) (+ (* 1106209385320415913103082059/4200000000000000000000000 (/ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) (PI))) (/ (* (exp -15/2) (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2))))) (PI))))))) z)
(* 9999999999998099/10000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))) (sin (* z (PI))))))
(+ (* -611458333333720910362579/25000000000000000000000 (* (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))) (* z (sin (* z (PI))))) (sqrt (pow (PI) 3)))) (* 9999999999998099/10000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))) (sin (* z (PI)))))))
(+ (* -611458333333720910362579/25000000000000000000000 (* (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))) (* z (sin (* z (PI))))) (sqrt (pow (PI) 3)))) (+ (* 9999999999998099/10000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))) (sin (* z (PI)))))) (* 1078390842009938509147167/6250000000000000000000 (* (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))) (* (pow z 2) (sin (* z (PI))))) (sqrt (pow (PI) 3))))))
(+ (* -398308844029173303716389/6250000000000000000000 (* (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))) (* (pow z 3) (sin (* z (PI))))) (sqrt (pow (PI) 3)))) (+ (* -611458333333720910362579/25000000000000000000000 (* (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))) (* z (sin (* z (PI))))) (sqrt (pow (PI) 3)))) (+ (* 9999999999998099/10000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))) (sin (* z (PI)))))) (* 1078390842009938509147167/6250000000000000000000 (* (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))) (* (pow z 2) (sin (* z (PI))))) (sqrt (pow (PI) 3)))))))
(* 9999999999998099/10000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))) (sin (* z (PI))))))
(+ (* -611458333333720910362579/25000000000000000000000 (* (/ (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))) (* z (sin (* z (PI))))) (sqrt (pow (PI) 3)))) (* 9999999999998099/10000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))) (sin (* z (PI)))))))
(+ (* -1 (/ (+ (* -1078390842009938509147167/6250000000000000000000 (* (/ (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))) (* z (sin (* z (PI))))) (sqrt (pow (PI) 3)))) (* 611458333333720910362579/25000000000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))) (sin (* z (PI))))))) z)) (* 9999999999998099/10000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))) (sin (* z (PI)))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -398308844029173303716389/6250000000000000000000 (* (/ (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))) (* z (sin (* z (PI))))) (sqrt (pow (PI) 3)))) (* 1078390842009938509147167/6250000000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))) (sin (* z (PI))))))) z)) (* 611458333333720910362579/25000000000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))) (sin (* z (PI))))))) z)) (* 9999999999998099/10000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))) (sin (* z (PI)))))))
(* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) z) (sqrt (PI))))
(* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) z) (sqrt (PI))))
(* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) z) (sqrt (PI))))
(* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) z) (sqrt (PI))))
(* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) z) (sqrt (PI))))
(* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) z) (sqrt (PI))))
(* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) z) (sqrt (PI))))
(* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) z) (sqrt (PI))))
(* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) z) (sqrt (PI))))
(* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) z) (sqrt (PI))))
(* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) z) (sqrt (PI))))
(* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) z) (sqrt (PI))))
(/ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) z)
(/ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) z)
(/ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) z)
(/ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) z)
(/ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) z)
(/ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) z)
(/ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) z)
(/ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) z)
(/ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) z)
(/ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) z)
(/ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) z)
(/ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) z)
(* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) z) (sqrt (PI))))
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(/ (exp -15/2) z)
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(* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))))
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(+ (* 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)))))
(* (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))))
(* (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))))
479507597606835099/10000000000000000
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9999999999998099/10000000000000000
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469507597606837/10000000000000
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(/ (- (* -1 (/ (+ 41160703924046283/10000000000000 (* 95223707106196353/10000000000000 (/ 1 z))) (pow z 2))) (+ 47576671969241/80000000000 (* 16075101696843969/10000000000000 (/ 1 z)))) z)
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Outputs
(* -1 z)
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(* -1 z)
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(* -1 z)
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-15/2
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(- z 15/2)
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(- z 15/2)
(+.f64 z #s(literal -15/2 binary64))
z
(* z (- 1 (* 15/2 (/ 1 z))))
(fma.f64 z (/.f64 #s(literal -15/2 binary64) z) z)
(* z (- 1 (* 15/2 (/ 1 z))))
(fma.f64 z (/.f64 #s(literal -15/2 binary64) z) z)
(* z (- 1 (* 15/2 (/ 1 z))))
(fma.f64 z (/.f64 #s(literal -15/2 binary64) z) z)
z
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(* -1 (* z (- (* 15/2 (/ 1 z)) 1)))
(fma.f64 z (/.f64 #s(literal -15/2 binary64) z) z)
(* -1 (* z (- (* 15/2 (/ 1 z)) 1)))
(fma.f64 z (/.f64 #s(literal -15/2 binary64) z) z)
3
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(* -1 z)
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(/.f64 (+.f64 #s(literal 5826188486005177/10000000000000 binary64) (+.f64 (/.f64 #s(literal 3683516130645841/2000000000000 binary64) z) (+.f64 (/.f64 #s(literal 43600364987677261/10000000000000 binary64) (.f64 z z)) (/.f64 #s(literal 93965933656573373/10000000000000 binary64) (.f64 z (*.f64 z z)))))) z)
(/ 5826188486005177/10000000000000 z)
(/.f64 #s(literal 5826188486005177/10000000000000 binary64) z)
(/ (+ 5826188486005177/10000000000000 (* 3683516130645841/2000000000000 (/ 1 z))) z)
(/.f64 (+.f64 #s(literal 5826188486005177/10000000000000 binary64) (/.f64 #s(literal 3683516130645841/2000000000000 binary64) z)) z)
(* -1 (/ (- (* -1 (/ (+ 3683516130645841/2000000000000 (* 43600364987677261/10000000000000 (/ 1 z))) z)) 5826188486005177/10000000000000) z))
(/.f64 (+.f64 #s(literal 5826188486005177/10000000000000 binary64) (/.f64 (+.f64 #s(literal 3683516130645841/2000000000000 binary64) (/.f64 #s(literal 43600364987677261/10000000000000 binary64) z)) z)) z)
(* -1 (/ (- (* -1 (/ (+ 3683516130645841/2000000000000 (+ (* 43600364987677261/10000000000000 (/ 1 z)) (/ 93965933656573373/10000000000000 (pow z 2)))) z)) 5826188486005177/10000000000000) z))
(/.f64 (+.f64 #s(literal 5826188486005177/10000000000000 binary64) (/.f64 (+.f64 #s(literal 3683516130645841/2000000000000 binary64) (+.f64 (/.f64 #s(literal 43600364987677261/10000000000000 binary64) z) (/.f64 #s(literal 93965933656573373/10000000000000 binary64) (*.f64 z z)))) z)) z)
12777243138120953/60000000000000
#s(literal 12777243138120953/60000000000000 binary64)
(+ 12777243138120953/60000000000000 (* 53758197989915921/720000000000000 z))
(fma.f64 z #s(literal 53758197989915921/720000000000000 binary64) #s(literal 12777243138120953/60000000000000 binary64))
(+ 12777243138120953/60000000000000 (* z (+ 53758197989915921/720000000000000 (* 222980468271960011/8640000000000000 z))))
(fma.f64 z (fma.f64 z #s(literal 222980468271960011/8640000000000000 binary64) #s(literal 53758197989915921/720000000000000 binary64)) #s(literal 12777243138120953/60000000000000 binary64))
(+ 12777243138120953/60000000000000 (* z (+ 53758197989915921/720000000000000 (* z (+ 222980468271960011/8640000000000000 (* 36630596080989161/4147200000000000 z))))))
(fma.f64 z (fma.f64 z (fma.f64 z #s(literal 36630596080989161/4147200000000000 binary64) #s(literal 222980468271960011/8640000000000000 binary64)) #s(literal 53758197989915921/720000000000000 binary64)) #s(literal 12777243138120953/60000000000000 binary64))
(/ -47576671969241/80000000000 z)
(/.f64 #s(literal -47576671969241/80000000000 binary64) z)
(* -1 (/ (+ 47576671969241/80000000000 (* 16075101696843969/10000000000000 (/ 1 z))) z))
(/.f64 (+.f64 #s(literal -47576671969241/80000000000 binary64) (/.f64 #s(literal -16075101696843969/10000000000000 binary64) z)) z)
(/ (- (* -1 (/ (+ 16075101696843969/10000000000000 (* 41160703924046283/10000000000000 (/ 1 z))) z)) 47576671969241/80000000000) z)
(/.f64 (-.f64 #s(literal -47576671969241/80000000000 binary64) (/.f64 (+.f64 #s(literal 16075101696843969/10000000000000 binary64) (/.f64 #s(literal 41160703924046283/10000000000000 binary64) z)) z)) z)
(/ (- (* -1 (/ (+ 41160703924046283/10000000000000 (* 95223707106196353/10000000000000 (/ 1 z))) (pow z 2))) (+ 47576671969241/80000000000 (* 16075101696843969/10000000000000 (/ 1 z)))) z)
(/.f64 (+.f64 #s(literal -47576671969241/80000000000 binary64) (/.f64 (-.f64 #s(literal -16075101696843969/10000000000000 binary64) (/.f64 (+.f64 #s(literal 41160703924046283/10000000000000 binary64) (/.f64 #s(literal 95223707106196353/10000000000000 binary64) z)) z)) z)) z)
(/ -47576671969241/80000000000 z)
(/.f64 #s(literal -47576671969241/80000000000 binary64) z)
(* -1 (/ (+ 47576671969241/80000000000 (* 16075101696843969/10000000000000 (/ 1 z))) z))
(/.f64 (+.f64 #s(literal -47576671969241/80000000000 binary64) (/.f64 #s(literal -16075101696843969/10000000000000 binary64) z)) z)
(* -1 (/ (+ 47576671969241/80000000000 (+ (* 16075101696843969/10000000000000 (/ 1 z)) (/ 41160703924046283/10000000000000 (pow z 2)))) z))
(/.f64 (+.f64 (/.f64 #s(literal 16075101696843969/10000000000000 binary64) z) (+.f64 #s(literal 47576671969241/80000000000 binary64) (/.f64 #s(literal 41160703924046283/10000000000000 binary64) (*.f64 z z)))) (neg.f64 z))
(* -1 (/ (+ 47576671969241/80000000000 (* -1 (/ (- (* -1 (/ (+ 41160703924046283/10000000000000 (* 95223707106196353/10000000000000 (/ 1 z))) z)) 16075101696843969/10000000000000) z))) z))
(/.f64 (+.f64 #s(literal -47576671969241/80000000000 binary64) (/.f64 (-.f64 #s(literal -16075101696843969/10000000000000 binary64) (/.f64 (+.f64 #s(literal 41160703924046283/10000000000000 binary64) (/.f64 #s(literal 95223707106196353/10000000000000 binary64) z)) z)) z)) z)

rewrite381.0ms (0.3%)

Memory

-14.5MiB live, 613.6MiB allocated

Rules

5 110×	`lower-*.f32`
5 078×	`lower-*.f64`
4 330×	`lower-/.f32`
4 318×	`lower-/.f64`
2 436×	`lower-+.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	154	735
0	227	638
1	1162	637
0	8186	637

Stop Event

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

Counts

27 → 349

Calls

Call 1

Inputs
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(neg.f64 (-.f64 #s(literal 15/2 binary64) z))
(+.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))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2)) (* (sqrt (* 2 (PI))) (exp (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 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (/.f64 (exp.f64 #s(literal -15/2 binary64)) z)) (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64)))))
(.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (/.f64 (exp.f64 #s(literal -15/2 binary64)) z)) (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (/.f64 (exp.f64 #s(literal -15/2 binary64)) z))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) z))) #s(approx ( (* (pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2)) (* (sqrt (* 2 (PI))) (exp (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 #s(literal -15/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64)))) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))))
(/.f64 (PI.f64) (sin.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) z)))
(PI.f64)
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64))
(+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))
(+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))) (+.f64 (/.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)))))) #s(approx (+ (+ (/ 2501468655737381/200000000000000 (+ (- 1 z) 4)) (/ -3464277381643003/25000000000000000 (+ (- 1 z) 5))) (+ (/ 2496092394504893/250000000000000000000 (+ (- 1 z) 6)) (/ 3764081837873279/25000000000000000000000 (+ (- 1 z) 7)))) (fma.f64 z (fma.f64 z #s(literal 11784999493416810208044520019/118540800000000000000000000000 binary64) #s(literal 350291408665333106351952839/705600000000000000000000000 binary64)) #s(literal 10409174657078461523082059/4200000000000000000000000 binary64)))) (.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 (neg.f64 (-.f64 #s(literal 15/2 binary64) z)))))))
(exp.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) z) (log.f64 (-.f64 #s(literal 15/2 binary64) z)) (neg.f64 (-.f64 #s(literal 15/2 binary64) z))))
(+.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)))
(sqrt.f64 (PI.f64))
(/.f64 (exp.f64 #s(literal -15/2 binary64)) z)
#s(approx (* (* (pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2)) (* (sqrt (* 2 (PI))) (exp (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 #s(literal -15/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64)))) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 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 (sqrt.f64 (PI.f64)) (.f64 (exp.f64 #s(literal -15/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))))))
#s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 z (fma.f64 z #s(literal 2076511864126339/4000000000000 binary64) #s(literal 904338909853211/2500000000000 binary64)) #s(literal 479507597606835099/10000000000000000 binary64)))
#s(approx (+ (+ (/ 2501468655737381/200000000000000 (+ (- 1 z) 4)) (/ -3464277381643003/25000000000000000 (+ (- 1 z) 5))) (+ (/ 2496092394504893/250000000000000000000 (+ (- 1 z) 6)) (/ 3764081837873279/25000000000000000000000 (+ (- 1 z) 7)))) (fma.f64 z (fma.f64 z #s(literal 11784999493416810208044520019/118540800000000000000000000000 binary64) #s(literal 350291408665333106351952839/705600000000000000000000000 binary64)) #s(literal 10409174657078461523082059/4200000000000000000000000 binary64)))
(+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)))
(+.f64 (/.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))))

Outputs
(+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (+.f64 z #s(literal 1 binary64)))
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(-.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) z) (.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))) (fma.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))))))
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))))
(fma.f64 (-.f64 #s(literal 1 binary64) (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 #s(literal 1 binary64) z)))) #s(literal -1 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)))) (-.f64 (.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 (-.f64 #s(literal 1 binary64) z) (.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))) #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 (.f64 (-.f64 #s(literal 1 binary64) z) (.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))) #s(literal 1 binary64))) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64))) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))))
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 z #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (+.f64 z #s(literal 1 binary64))))))
(.f64 (-.f64 (.f64 (-.f64 #s(literal 1 binary64) z) (.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))))))
(.f64 (-.f64 (.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 15/2 binary64) z))
(neg.f64 (-.f64 #s(literal 15/2 binary64) z))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 15/2 binary64) z) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 15/2 binary64) z)))))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 15/2 binary64) z))
(+.f64 #s(literal 3 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 #s(literal 1 binary64) z) #s(literal -2 binary64))
(-.f64 (/.f64 (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 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 #s(literal 9 binary64) (-.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) #s(literal 3 binary64))))
(fma.f64 (-.f64 (.f64 (-.f64 #s(literal 1 binary64) z) (.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))))) #s(literal 3 binary64))
(fma.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))) #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (-.f64 #s(literal 9 binary64) (.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) #s(literal 3 binary64)))) (fma.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) #s(literal 27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.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)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) #s(literal 9 binary64))))
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(.f64 (fma.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))) (/.f64 #s(literal 59493983178131529437839794393961/100000000000000000000000000 binary64) (.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))) (.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 #s(literal 3 binary64) (-.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 779821713148594364211109354209/25000000000000000000000000 binary64) (.f64 (+.f64 #s(literal 3 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 #s(literal 3 binary64) (-.f64 #s(literal 1 binary64) z)))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 59493983178131529437839794393961/100000000000000000000000000 binary64) (.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))) (-.f64 (/.f64 #s(literal 779821713148594364211109354209/25000000000000000000000000 binary64) (.f64 (+.f64 #s(literal 3 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 #s(literal 3 binary64) (-.f64 #s(literal 1 binary64) z)))) (/.f64 #s(literal -6811365493350374017225292011293/50000000000000000000000000 binary64) (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) (-.f64 #s(literal 1 binary64) z))))))))
(.f64 (-.f64 (/.f64 #s(literal 59493983178131529437839794393961/100000000000000000000000000 binary64) (.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))) (/.f64 #s(literal 779821713148594364211109354209/25000000000000000000000000 binary64) (*.f64 (+.f64 #s(literal 3 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 #s(literal 3 binary64) (-.f64 #s(literal 1 binary64) z))))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 #s(literal 3 binary64) (-.f64 #s(literal 1 binary64) z))))))

eval282.0ms (0.2%)

Memory: 19.6MiB live, 629.4MiB allocated
Compiler: Compiled 105 958 to 5 848 computations (94.5% saved)

prune331.0ms (0.2%)

Memory

-15.7MiB live, 948.3MiB allocated

Pruning

47 alts after pruning (47 fresh and 0 done)

	Pruned	Kept	Total
New	1 282	28	1 310
Fresh	11	19	30
Picked	5	0	5
Done	0	0	0
Total	1 298	47	1 345

Accuracy

100.0%

Counts

1 345 → 47

Alt Table

Click to see full alt table

Status	Accuracy	Program
	95.1%	(/.f64 (.f64 (PI.f64) #s(approx ( (* (pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2)) (* (sqrt (* 2 (PI))) (exp (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 #s(literal -15/2 binary64)) (sqrt.f64 #s(literal 15 binary64))) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))))) (sin.f64 (.f64 z (PI.f64))))
	96.0%	(/.f64 (.f64 (PI.f64) #s(approx ( (* (pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2)) (* (sqrt (* 2 (PI))) (exp (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 (sqrt.f64 (PI.f64)) (fma.f64 (.f64 z (.f64 (exp.f64 #s(literal -15/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (fma.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (+.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 2/15 binary64))) #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64)))) (.f64 (exp.f64 #s(literal -15/2 binary64)) (.f64 (sqrt.f64 #s(literal 15 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))))))) (sin.f64 (*.f64 z (PI.f64))))
	97.1%	(.f64 (/.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (sin.f64 (.f64 (PI.f64) z))) (.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))) (+.f64 (/.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)))))) #s(approx (+ (+ (/ 2501468655737381/200000000000000 (+ (- 1 z) 4)) (/ -3464277381643003/25000000000000000 (+ (- 1 z) 5))) (+ (/ 2496092394504893/250000000000000000000 (+ (- 1 z) 6)) (/ 3764081837873279/25000000000000000000000 (+ (- 1 z) 7)))) (fma.f64 z (fma.f64 z #s(literal 11784999493416810208044520019/118540800000000000000000000000 binary64) #s(literal 350291408665333106351952839/705600000000000000000000000 binary64)) #s(literal 10409174657078461523082059/4200000000000000000000000 binary64)))) (.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 (neg.f64 (-.f64 #s(literal 15/2 binary64) z)))))))
	94.4%	(.f64 (/.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (sin.f64 (.f64 (PI.f64) z))) #s(approx ( (* (pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2)) (* (sqrt (* 2 (PI))) (exp (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 #s(literal -15/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64)))) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))))
	95.1%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) z))) #s(approx ( (* (pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2)) (* (sqrt (* 2 (PI))) (exp (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 #s(literal -15/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64)))) (.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))))
	96.2%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) z))) #s(approx ( (* (pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2)) (* (sqrt (* 2 (PI))) (exp (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 #s(literal -15/2 binary64)) (sqrt.f64 #s(literal 15 binary64))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))))
	97.0%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) z))) #s(approx ( (* (pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2)) (* (sqrt (* 2 (PI))) (exp (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 (sqrt.f64 (PI.f64)) (fma.f64 (exp.f64 #s(literal -15/2 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (.f64 z (.f64 (.f64 (exp.f64 #s(literal -15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (sqrt.f64 #s(literal 15/2 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (fma.f64 (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64))))))))))
	96.2%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (fma.f64 #s(literal 6765203681218851/10000000000000 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))) (+.f64 (/.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)))))) #s(approx (+ (+ (/ 2501468655737381/200000000000000 (+ (- 1 z) 4)) (/ -3464277381643003/25000000000000000 (+ (- 1 z) 5))) (+ (/ 2496092394504893/250000000000000000000 (+ (- 1 z) 6)) (/ 3764081837873279/25000000000000000000000 (+ (- 1 z) 7)))) (fma.f64 z (fma.f64 z #s(literal 11784999493416810208044520019/118540800000000000000000000000 binary64) #s(literal 350291408665333106351952839/705600000000000000000000000 binary64)) #s(literal 10409174657078461523082059/4200000000000000000000000 binary64)))) (.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 (neg.f64 (-.f64 #s(literal 15/2 binary64) z)))))))
	96.2%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (fma.f64 #s(literal -3147848041806007/2500000000000 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))) (+.f64 (/.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)))))) #s(approx (+ (+ (/ 2501468655737381/200000000000000 (+ (- 1 z) 4)) (/ -3464277381643003/25000000000000000 (+ (- 1 z) 5))) (+ (/ 2496092394504893/250000000000000000000 (+ (- 1 z) 6)) (/ 3764081837873279/25000000000000000000000 (+ (- 1 z) 7)))) (fma.f64 z (fma.f64 z #s(literal 11784999493416810208044520019/118540800000000000000000000000 binary64) #s(literal 350291408665333106351952839/705600000000000000000000000 binary64)) #s(literal 10409174657078461523082059/4200000000000000000000000 binary64)))) (.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 (neg.f64 (-.f64 #s(literal 15/2 binary64) z)))))))
	96.7%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 (fma.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 2 binary64) z) (.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3147848041806007/2500000000000 binary64))) (.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 2 binary64) z))) (+.f64 (/.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 (+.f64 (/.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 (/.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 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 (neg.f64 (-.f64 #s(literal 15/2 binary64) z)))))))
	96.5%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))) (+.f64 (/.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)))))) #s(approx (+ (+ (/ 2501468655737381/200000000000000 (+ (- 1 z) 4)) (/ -3464277381643003/25000000000000000 (+ (- 1 z) 5))) (+ (/ 2496092394504893/250000000000000000000 (+ (- 1 z) 6)) (/ 3764081837873279/25000000000000000000000 (+ (- 1 z) 7)))) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 396401817189495604203614369999/19914854400000000000000000000000 binary64) #s(literal 11784999493416810208044520019/118540800000000000000000000000 binary64)) #s(literal 350291408665333106351952839/705600000000000000000000000 binary64)) #s(literal 10409174657078461523082059/4200000000000000000000000 binary64)))) (.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 (neg.f64 (-.f64 #s(literal 15/2 binary64) z)))))))
	95.6%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))) (+.f64 (/.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)))))) #s(approx (+ (+ (/ 2501468655737381/200000000000000 (+ (- 1 z) 4)) (/ -3464277381643003/25000000000000000 (+ (- 1 z) 5))) (+ (/ 2496092394504893/250000000000000000000 (+ (- 1 z) 6)) (/ 3764081837873279/25000000000000000000000 (+ (- 1 z) 7)))) (fma.f64 z (fma.f64 z #s(literal 11784999493416810208044520019/118540800000000000000000000000 binary64) #s(literal 350291408665333106351952839/705600000000000000000000000 binary64)) #s(literal 10409174657078461523082059/4200000000000000000000000 binary64)))) (.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 #s(approx (neg (- 15/2 z)) #s(literal -15/2 binary64)))))))
	96.2%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) #s(approx (+ (- 1 z) 3) (-.f64 #s(literal 4 binary64) z)))))) #s(approx (+ (+ (/ 2501468655737381/200000000000000 (+ (- 1 z) 4)) (/ -3464277381643003/25000000000000000 (+ (- 1 z) 5))) (+ (/ 2496092394504893/250000000000000000000 (+ (- 1 z) 6)) (/ 3764081837873279/25000000000000000000000 (+ (- 1 z) 7)))) (fma.f64 z (fma.f64 z #s(literal 11784999493416810208044520019/118540800000000000000000000000 binary64) #s(literal 350291408665333106351952839/705600000000000000000000000 binary64)) #s(literal 10409174657078461523082059/4200000000000000000000000 binary64)))) (.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 (neg.f64 (-.f64 #s(literal 15/2 binary64) z)))))))
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	99.2%	(.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 #s(literal 1/2 binary64) z) (log.f64 (-.f64 #s(literal 15/2 binary64) z)) (neg.f64 (-.f64 #s(literal 15/2 binary64) z))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #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 7713234287776531/10000000000000 binary64) #s(approx (+ (- (- 1 z) 1) 3) (-.f64 #s(literal 3 binary64) 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))))))
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	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 (sqrt.f64 (PI.f64)) (.f64 (exp.f64 #s(literal -15/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64)))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 z (fma.f64 z #s(literal 2076511864126339/4000000000000 binary64) #s(literal 904338909853211/2500000000000 binary64)) #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))))))
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	95.8%	#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2)) (* (sqrt (* 2 (PI))) (exp (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 (*.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))))
	95.7%	#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2)) (* (sqrt (* 2 (PI))) (exp (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 (.f64 (sqrt.f64 #s(literal 15 binary64)) (exp.f64 #s(literal -15/2 binary64))) (/.f64 #s(literal 1 binary64) z)) (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64)))))
	95.9%	#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2)) (* (sqrt (* 2 (PI))) (exp (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 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (/.f64 (exp.f64 #s(literal -15/2 binary64)) z)) (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))))))
	95.9%	#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2)) (* (sqrt (* 2 (PI))) (exp (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 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 z (exp.f64 #s(literal -15/2 binary64))))) (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64)))))
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	96.0%	#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2)) (* (sqrt (* 2 (PI))) (exp (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 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (/.f64 (exp.f64 #s(literal -15/2 binary64)) z))) (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64)))))
	95.9%	#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2)) (* (sqrt (* 2 (PI))) (exp (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 (sqrt.f64 #s(literal 15 binary64)) (.f64 (/.f64 (exp.f64 #s(literal -15/2 binary64)) z) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))))))

Compiler

Compiled 9 381 to 2 237 computations (76.2% saved)

regimes69.0ms (0%)

Memory

9.1MiB live, 165.8MiB allocated

Counts

98 → 1

Calls

Call 1

Inputs
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2)) (* (sqrt (* 2 (PI))) (exp (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 (sqrt.f64 #s(literal 15 binary64)) (.f64 (/.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 (* 2 (PI))) (exp (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 (*.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))))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2)) (* (sqrt (* 2 (PI))) (exp (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 (/.f64 (exp.f64 #s(literal -15/2 binary64)) z) (sqrt.f64 #s(literal 15 binary64))) (*.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 (* 2 (PI))) (exp (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 1 binary64) (/.f64 z (.f64 (sqrt.f64 #s(literal 15 binary64)) (exp.f64 #s(literal -15/2 binary64))))) (*.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 (* 2 (PI))) (exp (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 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (/.f64 (exp.f64 #s(literal -15/2 binary64)) z))) (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64)))))
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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 (sqrt.f64 (PI.f64)) (.f64 (exp.f64 #s(literal -15/2 binary64)) (fma.f64 z (.f64 (+.f64 (-.f64 #s(literal -1/15 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 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #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))))))
(.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 (fma.f64 (fma.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) #s(literal 343 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) #s(literal 49 binary64)) (.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 (exp.f64 (fma.f64 (log.f64 (.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 1/2 binary64) (fma.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)) (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 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 (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 binary64))) (exp.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))) (/.f64 (sqrt.f64 (.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)) (.f64 #s(literal 2 binary64) (PI.f64)))) (exp.f64 #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))))))

Outputs

(*.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 #s(literal 1/2 binary64) z) (log.f64 (-.f64 #s(literal 15/2 binary64) z)) (neg.f64 (-.f64 #s(literal 15/2 binary64) z))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #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 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) #s(approx (+ (- (- 1 z) 1) 5) (-.f64 #s(literal 5 binary64) z)))) (/.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))))))

Calls

2 calls:

28.0ms

(*.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))))))

27.0ms

Results

Accuracy	Segments	Branch
99.3%	1	`z`
99.3%	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 126 to 61 computations (51.6% saved)

regimes101.0ms (0.1%)

Memory

-24.4MiB live, 101.2MiB allocated

Counts

65 → 1

Calls

Call 1

Inputs
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2)) (* (sqrt (* 2 (PI))) (exp (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 (sqrt.f64 #s(literal 15 binary64)) (.f64 (/.f64 (exp.f64 #s(literal -15/2 binary64)) z) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))))))
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(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 (fma.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 2 binary64) z) (.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3147848041806007/2500000000000 binary64))) (.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 2 binary64) z))) (+.f64 (/.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 (+.f64 (/.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 (/.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 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 (neg.f64 (-.f64 #s(literal 15/2 binary64) z)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) z) (log.f64 (-.f64 #s(literal 15/2 binary64) z)) (neg.f64 (-.f64 #s(literal 15/2 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 z (fma.f64 z (fma.f64 z #s(literal 23912966683069397/40000000000000 binary64) #s(literal 2076511864126339/4000000000000 binary64)) #s(literal 904338909853211/2500000000000 binary64)) #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 (.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) z) (log.f64 (-.f64 #s(literal 15/2 binary64) z)) (neg.f64 (-.f64 #s(literal 15/2 binary64) z))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #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 7713234287776531/10000000000000 binary64) #s(approx (+ (- (- 1 z) 1) 3) (-.f64 #s(literal 3 binary64) 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 (/.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 #s(literal 1/2 binary64) z) (log.f64 (-.f64 #s(literal 15/2 binary64) z)) (neg.f64 (-.f64 #s(literal 15/2 binary64) z))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #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 7713234287776531/10000000000000 binary64) #s(approx (+ (- (- 1 z) 1) 3) (-.f64 #s(literal 3 binary64) 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))))))

Calls

2 calls:

40.0ms

(*.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))))))

18.0ms

Results

Accuracy	Segments	Branch
99.2%	1	`z`
99.2%	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 126 to 61 computations (51.6% saved)

regimes48.0ms (0%)

Memory

-2.3MiB live, 116.9MiB allocated

Counts

64 → 1

Calls

Call 1

Inputs
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2)) (* (sqrt (* 2 (PI))) (exp (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 (sqrt.f64 #s(literal 15 binary64)) (.f64 (/.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 (* 2 (PI))) (exp (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 (*.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))))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2)) (* (sqrt (* 2 (PI))) (exp (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 (/.f64 (exp.f64 #s(literal -15/2 binary64)) z) (sqrt.f64 #s(literal 15 binary64))) (*.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 (* 2 (PI))) (exp (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 (.f64 (sqrt.f64 #s(literal 15 binary64)) (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 (* 2 (PI))) (exp (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 (.f64 (sqrt.f64 #s(literal 15 binary64)) (exp.f64 #s(literal -15/2 binary64))) (/.f64 #s(literal 1 binary64) z)) (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64)))))
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(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) z) (log.f64 (-.f64 #s(literal 15/2 binary64) z)) (neg.f64 (-.f64 #s(literal 15/2 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 z (fma.f64 z (fma.f64 z #s(literal 23912966683069397/40000000000000 binary64) #s(literal 2076511864126339/4000000000000 binary64)) #s(literal 904338909853211/2500000000000 binary64)) #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))))))

Outputs

(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))) #s(approx (+ (/ 7713234287776531/10000000000000 (+ (- 1 z) 2)) (/ -883075145810703/5000000000000 (+ (- 1 z) 3))) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 36630596080989161/4147200000000000 binary64) #s(literal 222980468271960011/8640000000000000 binary64)) #s(literal 53758197989915921/720000000000000 binary64)) #s(literal 12777243138120953/60000000000000 binary64))))) #s(approx (+ (+ (/ 2501468655737381/200000000000000 (+ (- 1 z) 4)) (/ -3464277381643003/25000000000000000 (+ (- 1 z) 5))) (+ (/ 2496092394504893/250000000000000000000 (+ (- 1 z) 6)) (/ 3764081837873279/25000000000000000000000 (+ (- 1 z) 7)))) (fma.f64 z (fma.f64 z #s(literal 11784999493416810208044520019/118540800000000000000000000000 binary64) #s(literal 350291408665333106351952839/705600000000000000000000000 binary64)) #s(literal 10409174657078461523082059/4200000000000000000000000 binary64)))) (*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 (neg.f64 (-.f64 #s(literal 15/2 binary64) z)))))))

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))))))

19.0ms

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 126 to 61 computations (51.6% saved)

regimes31.0ms (0%)

Memory

-6.0MiB live, 70.5MiB allocated

Counts

39 → 1

Calls

Call 1

Inputs
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2)) (* (sqrt (* 2 (PI))) (exp (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 (sqrt.f64 #s(literal 15 binary64)) (.f64 (/.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 (* 2 (PI))) (exp (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 (*.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))))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2)) (* (sqrt (* 2 (PI))) (exp (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 (/.f64 (exp.f64 #s(literal -15/2 binary64)) z) (sqrt.f64 #s(literal 15 binary64))) (*.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 (* 2 (PI))) (exp (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 (.f64 (sqrt.f64 #s(literal 15 binary64)) (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 (* 2 (PI))) (exp (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 (.f64 (sqrt.f64 #s(literal 15 binary64)) (exp.f64 #s(literal -15/2 binary64))) (/.f64 #s(literal 1 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 (* 2 (PI))) (exp (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 1 binary64) (/.f64 z (.f64 (sqrt.f64 #s(literal 15 binary64)) (exp.f64 #s(literal -15/2 binary64))))) (*.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 (* 2 (PI))) (exp (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 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 15/2 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 (* 2 (PI))) (exp (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 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 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 (* 2 (PI))) (exp (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 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (.f64 (exp.f64 #s(literal -15/2 binary64)) (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64)))))
(.f64 #s(approx (/ (PI) (sin ( (PI) z))) (/.f64 #s(literal 1 binary64) z)) #s(approx (* (* (pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2)) (* (sqrt (* 2 (PI))) (exp (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 #s(literal -15/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64)))) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))))
(.f64 #s(approx (/ (PI) (sin ( (* (sqrt (PI)) (sqrt (PI))) z))) (/.f64 #s(literal 1 binary64) z)) #s(approx (* (* (pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2)) (* (sqrt (* 2 (PI))) (exp (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 #s(literal -15/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64)))) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))))
(.f64 (/.f64 (PI.f64) #s(approx (sin ( (PI) z)) (.f64 z (PI.f64)))) #s(approx ( (* (pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2)) (* (sqrt (* 2 (PI))) (exp (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 #s(literal -15/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64)))) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 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 (sqrt.f64 (PI.f64)) (.f64 (exp.f64 #s(literal -15/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64)))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 z (fma.f64 z #s(literal 2076511864126339/4000000000000 binary64) #s(literal 904338909853211/2500000000000 binary64)) #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) #s(approx (sin ( (PI) z)) (.f64 z (PI.f64)))) (.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))) (+.f64 (/.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 (+.f64 (/.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 (/.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 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 (neg.f64 (-.f64 #s(literal 15/2 binary64) z)))))))
(.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 (sqrt.f64 (PI.f64)) (.f64 (exp.f64 #s(literal -15/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64)))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 z (fma.f64 z #s(literal 2076511864126339/4000000000000 binary64) #s(literal 904338909853211/2500000000000 binary64)) #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 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))) #s(approx (+ (/ 7713234287776531/10000000000000 (+ (- 1 z) 2)) (/ -883075145810703/5000000000000 (+ (- 1 z) 3))) (fma.f64 z #s(literal 53758197989915921/720000000000000 binary64) #s(literal 12777243138120953/60000000000000 binary64))))) #s(approx (+ (+ (/ 2501468655737381/200000000000000 (+ (- 1 z) 4)) (/ -3464277381643003/25000000000000000 (+ (- 1 z) 5))) (+ (/ 2496092394504893/250000000000000000000 (+ (- 1 z) 6)) (/ 3764081837873279/25000000000000000000000 (+ (- 1 z) 7)))) (fma.f64 z (fma.f64 z #s(literal 11784999493416810208044520019/118540800000000000000000000000 binary64) #s(literal 350291408665333106351952839/705600000000000000000000000 binary64)) #s(literal 10409174657078461523082059/4200000000000000000000000 binary64)))) (.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 (neg.f64 (-.f64 #s(literal 15/2 binary64) z)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 #s(approx (+ (/ 6765203681218851/10000000000000 (- 1 z)) (/ -3147848041806007/2500000000000 (- 2 z))) (fma.f64 z #s(literal 904338909853211/2500000000000 binary64) #s(literal 469507597606837/10000000000000 binary64))) (+.f64 (/.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)))))) #s(approx (+ (+ (/ 2501468655737381/200000000000000 (+ (- 1 z) 4)) (/ -3464277381643003/25000000000000000 (+ (- 1 z) 5))) (+ (/ 2496092394504893/250000000000000000000 (+ (- 1 z) 6)) (/ 3764081837873279/25000000000000000000000 (+ (- 1 z) 7)))) (fma.f64 z (fma.f64 z #s(literal 11784999493416810208044520019/118540800000000000000000000000 binary64) #s(literal 350291408665333106351952839/705600000000000000000000000 binary64)) #s(literal 10409174657078461523082059/4200000000000000000000000 binary64)))) (.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 (neg.f64 (-.f64 #s(literal 15/2 binary64) z)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))) #s(approx (+ (/ 7713234287776531/10000000000000 (+ (- 1 z) 2)) (/ -883075145810703/5000000000000 (+ (- 1 z) 3))) (fma.f64 z (fma.f64 z #s(literal 222980468271960011/8640000000000000 binary64) #s(literal 53758197989915921/720000000000000 binary64)) #s(literal 12777243138120953/60000000000000 binary64))))) #s(approx (+ (+ (/ 2501468655737381/200000000000000 (+ (- 1 z) 4)) (/ -3464277381643003/25000000000000000 (+ (- 1 z) 5))) (+ (/ 2496092394504893/250000000000000000000 (+ (- 1 z) 6)) (/ 3764081837873279/25000000000000000000000 (+ (- 1 z) 7)))) (fma.f64 z (fma.f64 z #s(literal 11784999493416810208044520019/118540800000000000000000000000 binary64) #s(literal 350291408665333106351952839/705600000000000000000000000 binary64)) #s(literal 10409174657078461523082059/4200000000000000000000000 binary64)))) (.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 (neg.f64 (-.f64 #s(literal 15/2 binary64) z)))))))
(.f64 #s(approx (/ (PI) (sin ( (PI) z))) (/.f64 #s(literal 1 binary64) z)) #s(approx (* (* (pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2)) (* (sqrt (* 2 (PI))) (exp (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 (sqrt.f64 (PI.f64)) (fma.f64 (exp.f64 #s(literal -15/2 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (.f64 z (.f64 (.f64 (exp.f64 #s(literal -15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (sqrt.f64 #s(literal 15/2 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (fma.f64 (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64))))))))))
(.f64 #s(approx (/ (PI) (sin ( (PI) z))) (/.f64 (fma.f64 (.f64 z z) (.f64 #s(literal 1/6 binary64) (.f64 (PI.f64) (PI.f64))) #s(literal 1 binary64)) z)) (.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))) (+.f64 (/.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 (+.f64 (/.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 (/.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 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 (neg.f64 (-.f64 #s(literal 15/2 binary64) z)))))))

Outputs

(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))) #s(approx (+ (/ 7713234287776531/10000000000000 (+ (- 1 z) 2)) (/ -883075145810703/5000000000000 (+ (- 1 z) 3))) (fma.f64 z (fma.f64 z #s(literal 222980468271960011/8640000000000000 binary64) #s(literal 53758197989915921/720000000000000 binary64)) #s(literal 12777243138120953/60000000000000 binary64))))) #s(approx (+ (+ (/ 2501468655737381/200000000000000 (+ (- 1 z) 4)) (/ -3464277381643003/25000000000000000 (+ (- 1 z) 5))) (+ (/ 2496092394504893/250000000000000000000 (+ (- 1 z) 6)) (/ 3764081837873279/25000000000000000000000 (+ (- 1 z) 7)))) (fma.f64 z (fma.f64 z #s(literal 11784999493416810208044520019/118540800000000000000000000000 binary64) #s(literal 350291408665333106351952839/705600000000000000000000000 binary64)) #s(literal 10409174657078461523082059/4200000000000000000000000 binary64)))) (*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 (neg.f64 (-.f64 #s(literal 15/2 binary64) z)))))))

Calls

2 calls:

13.0ms

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))))))

Results

Accuracy	Segments	Branch
97.3%	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))))))
97.3%	1	`z`

Compiler

Compiled 126 to 61 computations (51.6% saved)

regimes26.0ms (0%)

Memory

37.3MiB live, 76.9MiB allocated

Counts

36 → 1

Calls

Call 1

Inputs
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2)) (* (sqrt (* 2 (PI))) (exp (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 (sqrt.f64 #s(literal 15 binary64)) (.f64 (/.f64 (exp.f64 #s(literal -15/2 binary64)) z) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))))))
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Outputs

(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))) #s(approx (+ (/ 7713234287776531/10000000000000 (+ (- 1 z) 2)) (/ -883075145810703/5000000000000 (+ (- 1 z) 3))) (fma.f64 z #s(literal 53758197989915921/720000000000000 binary64) #s(literal 12777243138120953/60000000000000 binary64))))) #s(approx (+ (+ (/ 2501468655737381/200000000000000 (+ (- 1 z) 4)) (/ -3464277381643003/25000000000000000 (+ (- 1 z) 5))) (+ (/ 2496092394504893/250000000000000000000 (+ (- 1 z) 6)) (/ 3764081837873279/25000000000000000000000 (+ (- 1 z) 7)))) (fma.f64 z (fma.f64 z #s(literal 11784999493416810208044520019/118540800000000000000000000000 binary64) #s(literal 350291408665333106351952839/705600000000000000000000000 binary64)) #s(literal 10409174657078461523082059/4200000000000000000000000 binary64)))) (*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 (neg.f64 (-.f64 #s(literal 15/2 binary64) z)))))))

Calls

2 calls:

11.0ms

(*.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))))))

10.0ms

Results

Accuracy	Segments	Branch
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))))))
96.9%	1	`z`

Compiler

Compiled 126 to 61 computations (51.6% saved)

regimes27.0ms (0%)

Memory

-13.1MiB live, 68.1MiB allocated

Counts

34 → 1

Calls

Call 1

Inputs
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2)) (* (sqrt (* 2 (PI))) (exp (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 (sqrt.f64 #s(literal 15 binary64)) (.f64 (/.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 (* 2 (PI))) (exp (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 (*.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))))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2)) (* (sqrt (* 2 (PI))) (exp (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 (/.f64 (exp.f64 #s(literal -15/2 binary64)) z) (sqrt.f64 #s(literal 15 binary64))) (*.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 (* 2 (PI))) (exp (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 (.f64 (sqrt.f64 #s(literal 15 binary64)) (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 (* 2 (PI))) (exp (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 (.f64 (sqrt.f64 #s(literal 15 binary64)) (exp.f64 #s(literal -15/2 binary64))) (/.f64 #s(literal 1 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 (* 2 (PI))) (exp (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 1 binary64) (/.f64 z (.f64 (sqrt.f64 #s(literal 15 binary64)) (exp.f64 #s(literal -15/2 binary64))))) (*.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 (* 2 (PI))) (exp (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 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 15/2 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 (* 2 (PI))) (exp (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 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 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 (* 2 (PI))) (exp (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 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (.f64 (exp.f64 #s(literal -15/2 binary64)) (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64)))))
(.f64 #s(approx (/ (PI) (sin ( (PI) z))) (/.f64 #s(literal 1 binary64) z)) #s(approx (* (* (pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2)) (* (sqrt (* 2 (PI))) (exp (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 #s(literal -15/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64)))) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))))
(.f64 #s(approx (/ (PI) (sin ( (* (sqrt (PI)) (sqrt (PI))) z))) (/.f64 #s(literal 1 binary64) z)) #s(approx (* (* (pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2)) (* (sqrt (* 2 (PI))) (exp (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 #s(literal -15/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64)))) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))))
(.f64 (/.f64 (PI.f64) #s(approx (sin ( (PI) z)) (.f64 z (PI.f64)))) #s(approx ( (* (pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2)) (* (sqrt (* 2 (PI))) (exp (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 #s(literal -15/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64)))) (.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 (* 2 (PI))) (exp (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 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 z (exp.f64 #s(literal -15/2 binary64))))) (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64)))))
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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 (sqrt.f64 (PI.f64)) (.f64 (exp.f64 #s(literal -15/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64)))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 z (fma.f64 z #s(literal 2076511864126339/4000000000000 binary64) #s(literal 904338909853211/2500000000000 binary64)) #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) #s(approx (sin ( (PI) z)) (.f64 z (PI.f64)))) (.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))) (+.f64 (/.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 (+.f64 (/.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 (/.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 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 (neg.f64 (-.f64 #s(literal 15/2 binary64) z)))))))
(.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 (sqrt.f64 (PI.f64)) (.f64 (exp.f64 #s(literal -15/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64)))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 z (fma.f64 z #s(literal 2076511864126339/4000000000000 binary64) #s(literal 904338909853211/2500000000000 binary64)) #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))))))

Outputs

(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) z))) #s(approx (* (* (pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2)) (* (sqrt (* 2 (PI))) (exp (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 #s(literal -15/2 binary64)) (sqrt.f64 #s(literal 15 binary64))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))))

Calls

2 calls:

11.0ms

(*.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))))))

10.0ms

Results

Accuracy	Segments	Branch
96.2%	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))))))
96.2%	1	`z`

Compiler

Compiled 126 to 61 computations (51.6% saved)

regimes17.0ms (0%)

Memory

6.0MiB live, 45.5MiB allocated

Counts

21 → 1

Calls

Call 1

Inputs
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2)) (* (sqrt (* 2 (PI))) (exp (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 (sqrt.f64 #s(literal 15 binary64)) (.f64 (/.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 (* 2 (PI))) (exp (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 (*.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))))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2)) (* (sqrt (* 2 (PI))) (exp (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 (/.f64 (exp.f64 #s(literal -15/2 binary64)) z) (sqrt.f64 #s(literal 15 binary64))) (*.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 (* 2 (PI))) (exp (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 (.f64 (sqrt.f64 #s(literal 15 binary64)) (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 (* 2 (PI))) (exp (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 (.f64 (sqrt.f64 #s(literal 15 binary64)) (exp.f64 #s(literal -15/2 binary64))) (/.f64 #s(literal 1 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 (* 2 (PI))) (exp (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 1 binary64) (/.f64 z (.f64 (sqrt.f64 #s(literal 15 binary64)) (exp.f64 #s(literal -15/2 binary64))))) (*.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 (* 2 (PI))) (exp (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 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 15/2 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 (* 2 (PI))) (exp (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 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 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 (* 2 (PI))) (exp (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 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (.f64 (exp.f64 #s(literal -15/2 binary64)) (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64)))))
(.f64 #s(approx (/ (PI) (sin ( (PI) z))) (/.f64 #s(literal 1 binary64) z)) #s(approx (* (* (pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2)) (* (sqrt (* 2 (PI))) (exp (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 #s(literal -15/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64)))) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))))
(.f64 #s(approx (/ (PI) (sin ( (* (sqrt (PI)) (sqrt (PI))) z))) (/.f64 #s(literal 1 binary64) z)) #s(approx (* (* (pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2)) (* (sqrt (* 2 (PI))) (exp (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 #s(literal -15/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64)))) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))))
(.f64 (/.f64 (PI.f64) #s(approx (sin ( (PI) z)) (.f64 z (PI.f64)))) #s(approx ( (* (pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2)) (* (sqrt (* 2 (PI))) (exp (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 #s(literal -15/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64)))) (.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 (* 2 (PI))) (exp (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 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 z (exp.f64 #s(literal -15/2 binary64))))) (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64)))))
(.f64 #s(approx (/ (PI) (sin ( (PI) z))) (/.f64 (fma.f64 (.f64 z z) (.f64 #s(literal 1/6 binary64) (.f64 (PI.f64) (PI.f64))) #s(literal 1 binary64)) z)) #s(approx ( (* (pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2)) (* (sqrt (* 2 (PI))) (exp (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 #s(literal -15/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64)))) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))))
(.f64 #s(approx (/ (PI) (sin ( (* (sqrt (PI)) (sqrt (PI))) z))) (/.f64 (fma.f64 (.f64 (PI.f64) (PI.f64)) (.f64 #s(literal 1/6 binary64) (.f64 z z)) #s(literal 1 binary64)) z)) #s(approx ( (* (pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2)) (* (sqrt (* 2 (PI))) (exp (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 #s(literal -15/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64)))) (.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 (* 2 (PI))) (exp (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 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (/.f64 (exp.f64 #s(literal -15/2 binary64)) z)) (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))))))
(.f64 (/.f64 (PI.f64) #s(approx (sin ( (PI) z)) (.f64 z (fma.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (.f64 z z) #s(literal -1/6 binary64)) (PI.f64))))) #s(approx ( (* (pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2)) (* (sqrt (* 2 (PI))) (exp (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 #s(literal -15/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64)))) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))))
(/.f64 (.f64 (PI.f64) #s(approx ( (* (pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2)) (* (sqrt (* 2 (PI))) (exp (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 #s(literal -15/2 binary64)) (sqrt.f64 #s(literal 15 binary64))) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))))) (sin.f64 (.f64 z (PI.f64))))
(.f64 (.f64 (PI.f64) #s(approx (* (* (pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2)) (* (sqrt (* 2 (PI))) (exp (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 #s(literal -15/2 binary64)) (sqrt.f64 #s(literal 15 binary64))) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))))) (/.f64 #s(literal 1 binary64) (sin.f64 (.f64 z (PI.f64)))))
(/.f64 #s(approx (* (* (pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2)) (* (sqrt (* 2 (PI))) (exp (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 #s(literal -15/2 binary64)) (sqrt.f64 #s(literal 15 binary64))) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))) (/.f64 (sin.f64 (.f64 z (PI.f64))) (PI.f64)))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) #s(approx (* (* (pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2)) (* (sqrt (* 2 (PI))) (exp (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 #s(literal -15/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64)))) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))))

Outputs

#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2)) (* (sqrt (* 2 (PI))) (exp (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 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (/.f64 (exp.f64 #s(literal -15/2 binary64)) z))) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64)))))

Calls

2 calls:

8.0ms

(*.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))))))

6.0ms

Results

Accuracy	Segments	Branch
96.0%	1	`z`
96.0%	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 126 to 61 computations (51.6% saved)

regimes8.0ms (0%)

Memory

-18.6MiB live, 21.1MiB allocated

Counts

6 → 1

Calls

Call 1

Inputs
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2)) (* (sqrt (* 2 (PI))) (exp (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 (sqrt.f64 #s(literal 15 binary64)) (.f64 (/.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 (* 2 (PI))) (exp (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 (*.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))))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2)) (* (sqrt (* 2 (PI))) (exp (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 (/.f64 (exp.f64 #s(literal -15/2 binary64)) z) (sqrt.f64 #s(literal 15 binary64))) (*.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 (* 2 (PI))) (exp (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 (.f64 (sqrt.f64 #s(literal 15 binary64)) (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 (* 2 (PI))) (exp (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 (.f64 (sqrt.f64 #s(literal 15 binary64)) (exp.f64 #s(literal -15/2 binary64))) (/.f64 #s(literal 1 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 (* 2 (PI))) (exp (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 1 binary64) (/.f64 z (.f64 (sqrt.f64 #s(literal 15 binary64)) (exp.f64 #s(literal -15/2 binary64))))) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64)))))

Outputs

#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2)) (* (sqrt (* 2 (PI))) (exp (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 (/.f64 (exp.f64 #s(literal -15/2 binary64)) z) (sqrt.f64 #s(literal 15 binary64))) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64)))))

Calls

2 calls:

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))))))

3.0ms

Results

Accuracy	Segments	Branch
95.9%	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))))))
95.9%	1	`z`

Compiler

Compiled 126 to 61 computations (51.6% saved)

regimes5.0ms (0%)

Memory

14.0MiB live, 14.0MiB allocated

Accuracy

Total -0.2b remaining (-7.1%)

Threshold costs -0.2b (-7.1%)

Counts

2 → 1

Calls

Call 1

Inputs

#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2)) (* (sqrt (* 2 (PI))) (exp (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 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (/.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 (* 2 (PI))) (exp (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 (*.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))))

Outputs

#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2)) (* (sqrt (* 2 (PI))) (exp (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 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (/.f64 (exp.f64 #s(literal -15/2 binary64)) z) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))))))

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))))))

1.0ms

Results

Accuracy	Segments	Branch
95.9%	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))))))
95.9%	1	`z`

Compiler

Compiled 126 to 61 computations (51.6% saved)

simplify242.0ms (0.2%)

Memory

-16.5MiB live, 103.6MiB allocated

Algorithm

1×	egg-herbie

Rules

1 058×	`distribute-lft-neg-in_binary64`
810×	`unsub-neg_binary64`
580×	`neg-mul-1_binary64`
504×	`cancel-sign-sub_binary64`
496×	`neg-sub0_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	201	1024
1	273	1024
2	289	1024
3	306	1019
4	356	1019
5	418	1019
6	515	1019
7	641	1019
8	783	1019
9	939	1019
10	1094	1019
11	1264	1019
12	1461	1019
13	1677	1019
14	1917	1019
15	2200	1019
16	2498	1019
17	2753	1019
18	2965	1019
19	3135	1019
20	3256	1019
21	3318	1019
22	3351	1019
23	3359	1019
24	3359	1019
25	3368	1019
26	3370	1019
27	3374	1019
28	3375	1019
29	3391	1019
30	3391	1019

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.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 #s(literal 1/2 binary64) z) (log.f64 (-.f64 #s(literal 15/2 binary64) z)) (neg.f64 (-.f64 #s(literal 15/2 binary64) z))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #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 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) #s(approx (+ (- (- 1 z) 1) 5) (-.f64 #s(literal 5 binary64) z)))) (/.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 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) z) (log.f64 (-.f64 #s(literal 15/2 binary64) z)) (neg.f64 (-.f64 #s(literal 15/2 binary64) z))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #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 7713234287776531/10000000000000 binary64) #s(approx (+ (- (- 1 z) 1) 3) (-.f64 #s(literal 3 binary64) 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 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))) #s(approx (+ (/ 7713234287776531/10000000000000 (+ (- 1 z) 2)) (/ -883075145810703/5000000000000 (+ (- 1 z) 3))) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 36630596080989161/4147200000000000 binary64) #s(literal 222980468271960011/8640000000000000 binary64)) #s(literal 53758197989915921/720000000000000 binary64)) #s(literal 12777243138120953/60000000000000 binary64))))) #s(approx (+ (+ (/ 2501468655737381/200000000000000 (+ (- 1 z) 4)) (/ -3464277381643003/25000000000000000 (+ (- 1 z) 5))) (+ (/ 2496092394504893/250000000000000000000 (+ (- 1 z) 6)) (/ 3764081837873279/25000000000000000000000 (+ (- 1 z) 7)))) (fma.f64 z (fma.f64 z #s(literal 11784999493416810208044520019/118540800000000000000000000000 binary64) #s(literal 350291408665333106351952839/705600000000000000000000000 binary64)) #s(literal 10409174657078461523082059/4200000000000000000000000 binary64)))) (.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 (neg.f64 (-.f64 #s(literal 15/2 binary64) z)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))) #s(approx (+ (/ 7713234287776531/10000000000000 (+ (- 1 z) 2)) (/ -883075145810703/5000000000000 (+ (- 1 z) 3))) (fma.f64 z (fma.f64 z #s(literal 222980468271960011/8640000000000000 binary64) #s(literal 53758197989915921/720000000000000 binary64)) #s(literal 12777243138120953/60000000000000 binary64))))) #s(approx (+ (+ (/ 2501468655737381/200000000000000 (+ (- 1 z) 4)) (/ -3464277381643003/25000000000000000 (+ (- 1 z) 5))) (+ (/ 2496092394504893/250000000000000000000 (+ (- 1 z) 6)) (/ 3764081837873279/25000000000000000000000 (+ (- 1 z) 7)))) (fma.f64 z (fma.f64 z #s(literal 11784999493416810208044520019/118540800000000000000000000000 binary64) #s(literal 350291408665333106351952839/705600000000000000000000000 binary64)) #s(literal 10409174657078461523082059/4200000000000000000000000 binary64)))) (.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 (neg.f64 (-.f64 #s(literal 15/2 binary64) z)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))) #s(approx (+ (/ 7713234287776531/10000000000000 (+ (- 1 z) 2)) (/ -883075145810703/5000000000000 (+ (- 1 z) 3))) (fma.f64 z #s(literal 53758197989915921/720000000000000 binary64) #s(literal 12777243138120953/60000000000000 binary64))))) #s(approx (+ (+ (/ 2501468655737381/200000000000000 (+ (- 1 z) 4)) (/ -3464277381643003/25000000000000000 (+ (- 1 z) 5))) (+ (/ 2496092394504893/250000000000000000000 (+ (- 1 z) 6)) (/ 3764081837873279/25000000000000000000000 (+ (- 1 z) 7)))) (fma.f64 z (fma.f64 z #s(literal 11784999493416810208044520019/118540800000000000000000000000 binary64) #s(literal 350291408665333106351952839/705600000000000000000000000 binary64)) #s(literal 10409174657078461523082059/4200000000000000000000000 binary64)))) (.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 (neg.f64 (-.f64 #s(literal 15/2 binary64) z)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) z))) #s(approx ( (* (pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2)) (* (sqrt (* 2 (PI))) (exp (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 #s(literal -15/2 binary64)) (sqrt.f64 #s(literal 15 binary64))) (*.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 (* 2 (PI))) (exp (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 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 15/2 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 (* 2 (PI))) (exp (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 (/.f64 (exp.f64 #s(literal -15/2 binary64)) z) (sqrt.f64 #s(literal 15 binary64))) (*.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 (* 2 (PI))) (exp (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 (sqrt.f64 #s(literal 15 binary64)) (.f64 (/.f64 (exp.f64 #s(literal -15/2 binary64)) z) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))))))

Outputs
(.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 #s(literal 1/2 binary64) z) (log.f64 (-.f64 #s(literal 15/2 binary64) z)) (neg.f64 (-.f64 #s(literal 15/2 binary64) z))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #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 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) #s(approx (+ (- (- 1 z) 1) 5) (-.f64 #s(literal 5 binary64) z)))) (/.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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(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 2 binary64))) (exp.f64 (-.f64 z #s(literal 15/2 binary64))))) (+.f64 #s(approx (+ (+ (/ 2501468655737381/200000000000000 (+ (- 1 z) 4)) (/ -3464277381643003/25000000000000000 (+ (- 1 z) 5))) (+ (/ 2496092394504893/250000000000000000000 (+ (- 1 z) 6)) (/ 3764081837873279/25000000000000000000000 (+ (- 1 z) 7)))) (fma.f64 z (fma.f64 z #s(literal 11784999493416810208044520019/118540800000000000000000000000 binary64) #s(literal 350291408665333106351952839/705600000000000000000000000 binary64)) #s(literal 10409174657078461523082059/4200000000000000000000000 binary64))) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.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))) #s(approx (+ (/ 7713234287776531/10000000000000 (+ (- 1 z) 2)) (/ -883075145810703/5000000000000 (+ (- 1 z) 3))) (fma.f64 z #s(literal 53758197989915921/720000000000000 binary64) #s(literal 12777243138120953/60000000000000 binary64))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) z))) #s(approx ( (* (pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2)) (* (sqrt (* 2 (PI))) (exp (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 #s(literal -15/2 binary64)) (sqrt.f64 #s(literal 15 binary64))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))))) #s(approx ( (* (pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2)) (* (sqrt (* 2 (PI))) (exp (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 #s(literal -15/2 binary64)) (sqrt.f64 #s(literal 15 binary64))) (*.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 (* 2 (PI))) (exp (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 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 15/2 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 (* 2 (PI))) (exp (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 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (/.f64 (exp.f64 #s(literal -15/2 binary64)) z))) (.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 (* 2 (PI))) (exp (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 (/.f64 (exp.f64 #s(literal -15/2 binary64)) z) (sqrt.f64 #s(literal 15 binary64))) (*.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 (* 2 (PI))) (exp (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 (sqrt.f64 (PI.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))) (* (* (pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2)) (* (sqrt (* 2 (PI))) (exp (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 (sqrt.f64 #s(literal 15 binary64)) (.f64 (/.f64 (exp.f64 #s(literal -15/2 binary64)) z) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))))

soundness1.7s (1.1%)

Memory

21.3MiB live, 1 467.0MiB allocated

Rules

20 036×	`lower-fma.f64`
20 036×	`lower-fma.f32`
9 072×	`lower-fma.f64`
9 072×	`lower-fma.f32`
8 352×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	154	735
0	227	638
1	1162	637
0	8186	637
0	595	6374
1	1869	6094
2	6557	5995
0	8451	5732
0	302	3015
1	985	2877
2	3559	2618
0	8630	2502
0	114	364
0	189	301
1	811	243
0	8064	243
0	27	87
0	46	71
1	236	62
2	2115	62
0	8507	62
0	540	6535
1	1669	6305
2	5867	5774
0	8518	5519
0	132	758
0	205	664
1	1086	643
0	8679	643

Stop Event

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

Compiler

Compiled 2 590 to 1 278 computations (50.7% saved)

preprocess84.0ms (0.1%)

Memory: -1.5MiB live, 275.3MiB allocated
Compiler: Compiled 1 094 to 394 computations (64% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze653.0ms (0.5%)

sample31.1s (21.5%)

explain1.5s (1%)

preprocess287.0ms (0.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify261.0ms (0.2%)

localize423.0ms (0.3%)

series10.0ms (0%)

simplify316.0ms (0.2%)

rewrite339.0ms (0.2%)

eval391.0ms (0.3%)

prune372.0ms (0.3%)

simplify273.0ms (0.2%)

localize1.8s (1.3%)

series25.0ms (0%)

simplify546.0ms (0.4%)

rewrite825.0ms (0.6%)

eval1.0s (0.7%)

prune788.0ms (0.5%)

simplify284.0ms (0.2%)

localize1.1s (0.8%)

series52.0ms (0%)

simplify47.8s (33.1%)

rewrite48.0s (33.2%)

eval366.0ms (0.3%)

prune329.0ms (0.2%)

simplify277.0ms (0.2%)

localize1.5s (1%)

series33.0ms (0%)

simplify455.0ms (0.3%)

rewrite381.0ms (0.3%)

eval282.0ms (0.2%)

prune331.0ms (0.2%)

regimes69.0ms (0%)

regimes101.0ms (0.1%)

regimes48.0ms (0%)

regimes31.0ms (0%)

regimes26.0ms (0%)

regimes27.0ms (0%)

regimes17.0ms (0%)

regimes8.0ms (0%)

regimes5.0ms (0%)

simplify242.0ms (0.2%)

soundness1.7s (1.1%)

preprocess84.0ms (0.1%)

end0.0ms (0%)

Profiling