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

start0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated

analyze890.0ms (0.6%)

Memory

-102.4MiB live, 853.2MiB 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 61 computations (52% saved)

sample8.1s (5.6%)

Memory

141.6MiB live, 10 379.6MiB allocated

Samples

4.6s	8 256×	valid
2.1s	3 961×	invalid
37.0ms	71×	exit

Precisions

Click to see histograms. Total time spent on operations: 6.2s

const: 2.0s (31.8% of total)

ival-add: 1.5s (23.9% of total)

ival-div: 801.0ms (12.9% of total)

ival-sinu: 396.0ms (6.4% of total)

ival-pow: 396.0ms (6.4% of total)

ival-mult: 394.0ms (6.4% of total)

ival-exp: 206.0ms (3.3% of total)

ival-sub: 181.0ms (2.9% of total)

ival-sqrt: 108.0ms (1.7% of total)

ival-neg: 85.0ms (1.4% of total)

ival-pi: 60.0ms (1% of total)

exact: 56.0ms (0.9% of total)

ival-<=: 55.0ms (0.9% of total)

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

Bogosity

explain1.2s (0.9%)

Memory

-13.1MiB live, 1 549.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
253	-	-	`(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))`
3	-	-	`(sin.f64 (*.f64 (PI.f64) z))`
3	-	-	`(.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	-	-	`(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64))`
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	-	-	(.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	-	-	`#s(literal 8 binary64)`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`#s(literal 3 binary64)`
0	-	-	`#s(literal 9999999999998099/10000000000000000 binary64)`
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	-	-	`(+.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	-	-	(+.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	-	-	`(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64))`
0	-	-	`#s(literal 7713234287776531/10000000000000 binary64)`
0	-	-	`(*.f64 (PI.f64) z)`
0	-	-	`#s(literal 1/2 binary64)`
0	-	-	`#s(literal 7 binary64)`
0	-	-	`(/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))`
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	-	-	`(-.f64 #s(literal 1 binary64) z)`
0	-	-	`#s(literal 6765203681218851/10000000000000 binary64)`
0	-	-	`#s(literal 3764081837873279/25000000000000000000000 binary64)`
0	-	-	`z`
0	-	-	`(/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))`
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	-	-	`(/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))`
0	-	-	`#s(literal 6 binary64)`
0	-	-	`(sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))`
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	-	-	`(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	-	-	`(+.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	-	-	`#s(literal 2 binary64)`
0	-	-	`(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64))`
0	-	-	`(/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))`
0	-	-	`(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))`
0	-	-	`(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64))`
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	-	-	`(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64))`
0	-	-	`#s(literal -883075145810703/5000000000000 binary64)`
0	-	-	`#s(literal 5 binary64)`
0	-	-	`(/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))`
0	-	-	`#s(literal -3147848041806007/2500000000000 binary64)`
0	-	-	`#s(literal -3464277381643003/25000000000000000 binary64)`
0	-	-	`#s(literal 2501468655737381/200000000000000 binary64)`
0	-	-	`(/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))`
0	-	-	`(+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))`
0	-	-	`(PI.f64)`
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	-	-	`(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))`
0	-	-	`(*.f64 (PI.f64) #s(literal 2 binary64))`
0	-	-	`#s(literal 4 binary64)`
0	-	-	`#s(literal 2496092394504893/250000000000000000000 binary64)`
0	-	-	`(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64))`
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	-	-	`(/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64)))`
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	-	-	`(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64))`
0	-	-	`(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64))`
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	17	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
-	17	236

Precision

0.15

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	3	0	0
-	17	0	236

Precision?

0.15

Recall?

1.0

Freqs

test

number	freq
0	236
1	17
2	3

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

335.0ms	354×	1	valid
177.0ms	116×	2	valid
19.0ms	42×	0	valid

Compiler

Compiled 2 806 to 986 computations (64.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 421.0ms

ival-add: 109.0ms (25.9% of total)

const: 82.0ms (19.5% of total)

adjust: 78.0ms (18.5% of total)

ival-div: 55.0ms (13.1% of total)

ival-mult: 30.0ms (7.1% of total)

ival-pow: 22.0ms (5.2% of total)

ival-exp: 12.0ms (2.8% of total)

ival-sub: 12.0ms (2.8% of total)

ival-sinu: 6.0ms (1.4% of total)

ival-neg: 5.0ms (1.2% of total)

ival-sqrt: 4.0ms (0.9% of total)

ival-pi: 2.0ms (0.5% of total)

exact: 2.0ms (0.5% of total)

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

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

preprocess172.0ms (0.1%)

Memory

-22.1MiB live, 182.2MiB 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 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64))) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))) (exp.f64 (-.f64 z #s(literal 15/2 binary64)))))

Compiler

Compiled 123 to 60 computations (51.2% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune1.0ms (0%)

Memory

2.1MiB live, 2.1MiB 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 123 to 60 computations (51.2% saved)

simplify135.0ms (0.1%)

Memory

6.6MiB live, 127.5MiB 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))))
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(+.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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#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)
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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)))
#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 #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))
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(/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))
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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)))
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(/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64)))
#s(literal 3764081837873279/25000000000000000000000 binary64)
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))
#s(literal 8 binary64)

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

localize307.0ms (0.2%)

Memory

17.7MiB live, 358.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	1.0	(sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))
accuracy	1.55859375	(.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	2.7618499841217723	(+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64))))
accuracy	58.23317759992164	(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))

Samples

169.0ms	177×	1	valid
71.0ms	58×	2	valid
9.0ms	21×	0	valid

Compiler

Compiled 895 to 62 computations (93.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 206.0ms

const: 43.0ms (20.8% of total)

ival-add: 41.0ms (19.9% of total)

adjust: 35.0ms (17% of total)

ival-div: 28.0ms (13.6% of total)

ival-mult: 18.0ms (8.7% of total)

ival-pow: 13.0ms (6.3% of total)

ival-sub: 8.0ms (3.9% of total)

ival-exp: 6.0ms (2.9% of total)

ival-sqrt: 6.0ms (2.9% of total)

ival-sinu: 3.0ms (1.5% of total)

ival-neg: 3.0ms (1.5% of total)

ival-pi: 1.0ms (0.5% of total)

exact: 1.0ms (0.5% of total)

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

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

series10.0ms (0%)

Memory

13.6MiB live, 13.6MiB 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>) () ())) ())
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Calls

3 calls:

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

Time

Variable

Point

Expression

2.0ms

inf

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

2.0ms

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

2.0ms

-inf

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

simplify152.0ms (0.1%)

Memory

-1.2MiB live, 152.0MiB allocated

Algorithm

1×	egg-herbie

Rules

9 516×	`lower-fma.f64`
9 516×	`lower-fma.f32`
4 778×	`lower-*.f64`
4 778×	`lower-*.f32`
2 746×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	148	733
1	456	692
2	1417	648
3	5091	647
0	8072	626

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

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

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

rewrite211.0ms (0.1%)

Memory

5.6MiB live, 230.2MiB 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 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (-.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) #s(literal -1 binary64))))
(.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (+.f64 #s(literal 8 binary64) (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 #s(literal 2 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)))) #s(literal -1 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))) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (expm1.f64 (.f64 (log1p.f64 (neg.f64 z)) #s(literal 2 binary64))) (-.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) #s(literal -1 binary64))))
(.f64 (/.f64 (expm1.f64 (.f64 (log1p.f64 (neg.f64 z)) #s(literal 2 binary64))) (+.f64 #s(literal 8 binary64) (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (+.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)))) #s(literal -1 binary64))))
(.f64 (expm1.f64 (.f64 (log1p.f64 (neg.f64 z)) #s(literal 2 binary64))) (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (expm1.f64 (.f64 (log1p.f64 (neg.f64 z)) #s(literal 3 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.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 #s(literal 1 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)))
(pow.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (expm1.f64 (*.f64 (log1p.f64 (neg.f64 z)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) z)) (expm1.f64 (*.f64 (log1p.f64 (neg.f64 z)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 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 (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64))) (.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64))))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (+.f64 z #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (neg.f64 (+.f64 z #s(literal 1 binary64))) (neg.f64 (+.f64 z #s(literal 1 binary64)))) (.f64 #s(literal 1 binary64) (neg.f64 (+.f64 z #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (.f64 (expm1.f64 (.f64 (log1p.f64 (neg.f64 z)) #s(literal 2 binary64))) #s(literal 1 binary64))) (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))))
(/.f64 (neg.f64 (.f64 (expm1.f64 (.f64 (log1p.f64 (neg.f64 z)) #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (+.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) z))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 z #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (+.f64 z #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (neg.f64 z)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (neg.f64 z)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (+.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) z)))))
(/.f64 (.f64 (expm1.f64 (.f64 (log1p.f64 (neg.f64 z)) #s(literal 2 binary64))) #s(literal 1 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))
(/.f64 (.f64 (expm1.f64 (.f64 (log1p.f64 (neg.f64 z)) #s(literal 3 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) z)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 z #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (+.f64 z #s(literal 1 binary64))))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (neg.f64 z)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (.f64 (log1p.f64 (neg.f64 z)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.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 -1 binary64))))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (neg.f64 z)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) z))))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (neg.f64 z)) #s(literal 2 binary64))) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (expm1.f64 (*.f64 (log1p.f64 (neg.f64 z)) #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) z)) (expm1.f64 (*.f64 (log1p.f64 (neg.f64 z)) #s(literal 3 binary64))))))
(/.f64 (expm1.f64 (.f64 (log1p.f64 (neg.f64 z)) #s(literal 3 binary64))) (+.f64 (pow.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 -1 binary64)))))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (neg.f64 z)) #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (expm1.f64 (*.f64 (log1p.f64 (neg.f64 z)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) z)) (expm1.f64 (*.f64 (log1p.f64 (neg.f64 z)) #s(literal 3 binary64)))))
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (pow.f64 (+.f64 z #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 (expm1.f64 (*.f64 (log1p.f64 (-.f64 (neg.f64 z) #s(literal 1 binary64))) #s(literal 2 binary64))) (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (+.f64 (fma.f64 z z z) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 (+.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.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) z) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 z #s(literal 1 binary64)))) (/.f64 (pow.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 z #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (+.f64 z #s(literal 1 binary64)))))) (/.f64 (pow.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (+.f64 z #s(literal 1 binary64)))))))
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) (+.f64 (pow.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 -1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.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 -1 binary64))))))
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) (+.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) z))) (pow.f64 (+.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.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 z #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (+.f64 z #s(literal 1 binary64)))
(+.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z))
(+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))
(+.f64 #s(literal 1 binary64) (-.f64 (neg.f64 z) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) (neg.f64 (+.f64 z #s(literal 1 binary64))))
(*.f64 (pow.f64 (-.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -11/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (+.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (-.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -11/2 binary64)) #s(literal -1 binary64)))
(.f64 (+.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -11/2 binary64)) (-.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64)))) (+.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal -1 binary64))
(pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) #s(literal 1 binary64))
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(/.f64 (neg.f64 (.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (PI.f64) #s(literal 2 binary64))))) (neg.f64 (exp.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))))) (exp.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64))))
(/.f64 (.f64 (.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1 binary64)) (exp.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64))))
(/.f64 (.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (PI.f64) #s(literal 2 binary64)))) (exp.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64))))
(exp.f64 (+.f64 (fma.f64 (log.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64))) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)))) (.f64 (log.f64 (.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 (log.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 1/2 binary64) (fma.f64 (log.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64))) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64))))))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 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)) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (.f64 (PI.f64) #s(literal 2 binary64))))
(.f64 (pow.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (sqrt.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))))
(.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 (.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))))
(.f64 (cbrt.f64 (PI.f64)) (pow.f64 (.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (PI.f64) #s(literal 2 binary64))))
(pow.f64 (exp.f64 (log.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(pow.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 1/2 binary64)))

eval396.0ms (0.3%)

Memory: 0.1MiB live, 585.7MiB allocated
Compiler: Compiled 172 498 to 8 432 computations (95.1% saved)

prune266.0ms (0.2%)

Memory

-15.4MiB live, 430.9MiB allocated

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	1 289	15	1 304
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	1 290	15	1 305

Accuracy

98.7%

Counts

1 305 → 15

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 (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 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (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))))))
	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 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 343 binary64)) (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (-.f64 #s(literal 49 binary64) (*.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) #s(literal 7 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 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) #s(literal 6765203681218851/10000000000000 binary64) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
	97.4%	(.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 -3147848041806007/2500000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))) #s(literal 9999999999998099/10000000000000000 binary64)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
▶	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 #s(literal 1 binary64) (-.f64 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%	(.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 #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 (fma.f64 #s(literal 23912966683069397/40000000000000 binary64) z #s(literal 2076511864126339/4000000000000 binary64)) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))) (/.f64 #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))))))
▶	97.2%	(.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 #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
	97.0%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) 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 #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 #s(literal 904338909853211/2500000000000 binary64) z #s(literal 479507597606835099/10000000000000000 binary64))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
	95.8%	(.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 #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))))))
▶	95.8%	(.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 #s(approx (+ (+ (- (- 1 z) 1) 7) 1/2) #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))))))
	96.2%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.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 -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 (PI.f64) #s(literal 2 binary64))) #s(literal 1/2 binary64) (fma.f64 (log.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64))) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
	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 (*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) (exp.f64 (-.f64 z #s(literal 15/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
▶	94.7%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 #s(approx ( (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 #s(literal -15/2 binary64))) (sqrt.f64 (PI.f64)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
	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 (.f64 (exp.f64 #s(literal -15/2 binary64)) (fma.f64 (.f64 (+.f64 (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) z (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (sqrt.f64 (PI.f64)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))

Compiler

Compiled 3 436 to 1 824 computations (46.9% saved)

simplify155.0ms (0.1%)

Memory

5.3MiB live, 201.4MiB 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 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 #s(literal 1 binary64) (-.f64 z #s(literal -1 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 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 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	5824	(exp.f64 (fma.f64 (log.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 1/2 binary64) (fma.f64 (log.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64))) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64))))))

Rules

5 114×	`lower-fma.f32`
5 106×	`lower-fma.f64`
4 868×	`lower-*.f32`
4 836×	`lower-*.f64`
4 390×	`lower-+.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	135	4484
0	231	3662
1	451	3483
2	1524	2739
3	6571	2739
0	8449	2739

Stop Event

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

Calls

Call 1

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

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

localize1.9min (80.1%)

Memory

14.8MiB live, 1 347.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	1.55859375	(.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	2.7618499841217723	(+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (-.f64 z #s(literal -1 binary64))) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64))))
accuracy	58.227889687340536	(-.f64 #s(literal 1 binary64) (-.f64 z #s(literal -1 binary64)))
accuracy	58.23317759992164	(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
accuracy	1.55859375	(.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 #s(approx (+ (+ (- (- 1 z) 1) 7) 1/2) #s(literal 15/2 binary64)))))
accuracy	1.6159763265358233	#s(approx (+ (+ (- (- 1 z) 1) 7) 1/2) #s(literal 15/2 binary64))
accuracy	2.7618499841217723	(+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64))))
accuracy	58.23317759992164	(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
accuracy	0.96484375	(.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 #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64)))))
accuracy	1.0	(sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))
accuracy	1.55859375	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)))))
accuracy	58.23317759992164	(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
accuracy	1.0	(sqrt.f64 (PI.f64))
accuracy	1.8277972943684424	#s(approx (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 #s(literal -15/2 binary64))) (sqrt.f64 (PI.f64))))
accuracy	2.7618499841217723	(+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64))))
accuracy	58.23317759992164	(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
accuracy	1.0	(log.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))
accuracy	1.9406788327781914	(exp.f64 (fma.f64 (log.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 1/2 binary64) (fma.f64 (log.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64))) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64))))))
accuracy	2.7618499841217723	(+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64))))
accuracy	58.23317759992164	(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))

Samples

39.9s	177×	1	valid
28.4s	58×	2	valid
14.9s	21×	0	valid

Compiler

Compiled 4 378 to 106 computations (97.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.6s

const: 28.4s (48.4% of total)

ival-log: 15.0s (25.7% of total)

ival-exp: 14.9s (25.4% of total)

ival-add: 69.0ms (0.1% of total)

adjust: 66.0ms (0.1% of total)

ival-mult: 46.0ms (0.1% of total)

ival-div: 32.0ms (0.1% of total)

ival-sub: 15.0ms (0% of total)

ival-pow: 12.0ms (0% of total)

ival-sqrt: 11.0ms (0% of total)

ival-neg: 5.0ms (0% of total)

ival-sinu: 3.0ms (0% of total)

ival-pi: 3.0ms (0% of total)

exact: 2.0ms (0% of total)

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

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

series35.0ms (0%)

Memory

13.1MiB live, 57.0MiB allocated

Counts

21 → 216

Calls

Call 1

Inputs
#s(alt (exp.f64 (fma.f64 (log.f64 (.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 1/2 binary64) (fma.f64 (log.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64))) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)))))) (patch (exp.f64 (fma.f64 (log.f64 (.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 1/2 binary64) (fma.f64 (log.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64))) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)))))) #<representation binary64>) () ())
#s(alt (-.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 -13/2 binary64)) (patch (-.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 1/2 binary64)) (patch (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 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 (-.f64 #s(literal 1 binary64) (-.f64 z #s(literal -1 binary64))) (patch (-.f64 #s(literal 1 binary64) (-.f64 z #s(literal -1 binary64))) #<representation binary64>) () ())
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#s(alt (log.f64 (.f64 (PI.f64) #s(literal 2 binary64))) (patch (log.f64 (.f64 (PI.f64) #s(literal 2 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 (.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 #s(approx (+ (+ (- (- 1 z) 1) 7) 1/2) #s(literal 15/2 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 #s(approx (+ (+ (- (- 1 z) 1) 7) 1/2) #s(literal 15/2 binary64))))) #<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 (.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 #s(approx (+ (+ (- (- 1 z) 1) 7) 1/2) #s(literal 15/2 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 #s(approx (+ (+ (- (- 1 z) 1) 7) 1/2) #s(literal 15/2 binary64))))) #<representation binary64>) () ())) ())
#s(alt 9999999999998099/10000000000000000 (taylor -inf z) (#s(alt (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (-.f64 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 #s(literal 1 binary64) (-.f64 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 (+ 9999999999998099/10000000000000000 (* 5826188486005177/10000000000000 (/ 1 z))) (taylor -inf z) (#s(alt (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (-.f64 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 #s(literal 1 binary64) (-.f64 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 (+ 9999999999998099/10000000000000000 (+ (* 5826188486005177/10000000000000 (/ 1 z)) (/ 3683516130645841/2000000000000 (pow z 2)))) (taylor -inf z) (#s(alt (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (-.f64 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 #s(literal 1 binary64) (-.f64 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 (+ 9999999999998099/10000000000000000 (* -1 (/ (- (* -1 (/ (+ 3683516130645841/2000000000000 (* 43600364987677261/10000000000000 (/ 1 z))) z)) 5826188486005177/10000000000000) z))) (taylor -inf z) (#s(alt (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (-.f64 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 #s(literal 1 binary64) (-.f64 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>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

5.0ms

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

4.0ms

inf

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

3.0ms

-inf

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

simplify436.0ms (0.3%)

Memory

17.7MiB live, 278.1MiB allocated

Algorithm

1×	egg-herbie

Rules

20 028×	`lower-fma.f64`
20 028×	`lower-fma.f32`
7 652×	`lower-+.f64`
7 652×	`lower-+.f32`
5 602×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	301	3332
1	980	3160
2	3547	2859
0	8609	2740

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

Calls

Call 1

Inputs
(exp (- (+ (* 1/2 (log 15/2)) (* 1/2 (log (* 2 (PI))))) 15/2))
(+ (exp (- (+ (* 1/2 (log 15/2)) (* 1/2 (log (* 2 (PI))))) 15/2)) (* z (* (exp (- (+ (* 1/2 (log 15/2)) (* 1/2 (log (* 2 (PI))))) 15/2)) (+ 14/15 (* -1 (log 15/2))))))
(+ (exp (- (+ (* 1/2 (log 15/2)) (* 1/2 (log (* 2 (PI))))) 15/2)) (* z (+ (* z (* (exp (- (+ (* 1/2 (log 15/2)) (* 1/2 (log (* 2 (PI))))) 15/2)) (+ 29/225 (* 1/2 (pow (+ 14/15 (* -1 (log 15/2))) 2))))) (* (exp (- (+ (* 1/2 (log 15/2)) (* 1/2 (log (* 2 (PI))))) 15/2)) (+ 14/15 (* -1 (log 15/2)))))))
(+ (exp (- (+ (* 1/2 (log 15/2)) (* 1/2 (log (* 2 (PI))))) 15/2)) (* z (+ (* z (+ (* z (* (exp (- (+ (* 1/2 (log 15/2)) (* 1/2 (log (* 2 (PI))))) 15/2)) (+ 86/10125 (+ (* 29/225 (+ 14/15 (* -1 (log 15/2)))) (* 1/6 (pow (+ 14/15 (* -1 (log 15/2))) 3)))))) (* (exp (- (+ (* 1/2 (log 15/2)) (* 1/2 (log (* 2 (PI))))) 15/2)) (+ 29/225 (* 1/2 (pow (+ 14/15 (* -1 (log 15/2))) 2)))))) (* (exp (- (+ (* 1/2 (log 15/2)) (* 1/2 (log (* 2 (PI))))) 15/2)) (+ 14/15 (* -1 (log 15/2)))))))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
15/2
(+ 15/2 (* -1 z))
(+ 15/2 (* -1 z))
(+ 15/2 (* -1 z))
1/2
(+ 1/2 (* -1 z))
(+ 1/2 (* -1 z))
(+ 1/2 (* -1 z))
1
(+ 1 (* -1 z))
(+ 1 (* -1 z))
(+ 1 (* -1 z))
2
(+ 2 (* -1 z))
(+ 2 (* -1 z))
(+ 2 (* -1 z))
3
(+ 3 (* -1 z))
(+ 3 (* -1 z))
(+ 3 (* -1 z))
15/2
(+ 15/2 (* -1 z))
(+ 15/2 (* -1 z))
(+ 15/2 (* -1 z))
7
(+ 7 (* -1 z))
(+ 7 (* -1 z))
(+ 7 (* -1 z))
1/2
(+ 1/2 (* -1 z))
(+ 1/2 (* -1 z))
(+ 1/2 (* -1 z))
(* -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))))))
(* (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 -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)))))
(* 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))))))
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15/2
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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))))))
(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))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* z (- (* 15/2 (/ 1 z)) 1))
(* z (- (* 15/2 (/ 1 z)) 1))
(* z (- (* 15/2 (/ 1 z)) 1))
(* -1 z)
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(* z (- (* 1/2 (/ 1 z)) 1))
(* z (- (* 1/2 (/ 1 z)) 1))
(* -1 z)
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(* z (- (/ 1 z) 1))
(* -1 z)
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(* -1 z)
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(* -1 z)
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(* -1 z)
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(* -1 z)
(* -1 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)))))
(* (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 (* (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))))
(* 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)))))))
(* -1 z)
(* z (- (* 15/2 (/ 1 z)) 1))
(* z (- (* 15/2 (/ 1 z)) 1))
(* z (- (* 15/2 (/ 1 z)) 1))
(* (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))))
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)))))
(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 (* 15/2 (/ 1 z)))))
(* -1 (* z (- 1 (* 15/2 (/ 1 z)))))
(* -1 (* z (- 1 (* 15/2 (/ 1 z)))))
(* -1 z)
(* -1 (* z (- 1 (* 1/2 (/ 1 z)))))
(* -1 (* z (- 1 (* 1/2 (/ 1 z)))))
(* -1 (* z (- 1 (* 1/2 (/ 1 z)))))
(* -1 z)
(* -1 (* z (- 1 (/ 1 z))))
(* -1 (* z (- 1 (/ 1 z))))
(* -1 (* z (- 1 (/ 1 z))))
(* -1 z)
(* -1 (* z (- 1 (* 2 (/ 1 z)))))
(* -1 (* z (- 1 (* 2 (/ 1 z)))))
(* -1 (* z (- 1 (* 2 (/ 1 z)))))
(* -1 z)
(* -1 (* z (- 1 (* 3 (/ 1 z)))))
(* -1 (* z (- 1 (* 3 (/ 1 z)))))
(* -1 (* z (- 1 (* 3 (/ 1 z)))))
(* -1 z)
(* -1 (* z (- 1 (* 15/2 (/ 1 z)))))
(* -1 (* z (- 1 (* 15/2 (/ 1 z)))))
(* -1 (* z (- 1 (* 15/2 (/ 1 z)))))
(* -1 z)
(* -1 (* z (- 1 (* 7 (/ 1 z)))))
(* -1 (* z (- 1 (* 7 (/ 1 z)))))
(* -1 (* z (- 1 (* 7 (/ 1 z)))))
(* -1 z)
(* -1 (* z (- 1 (* 1/2 (/ 1 z)))))
(* -1 (* z (- 1 (* 1/2 (/ 1 z)))))
(* -1 (* z (- 1 (* 1/2 (/ 1 z)))))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
9999999999998099/10000000000000000
(+ 9999999999998099/10000000000000000 (* 5826188486005177/10000000000000 (/ 1 z)))
(+ 9999999999998099/10000000000000000 (+ (* 5826188486005177/10000000000000 (/ 1 z)) (/ 3683516130645841/2000000000000 (pow z 2))))
(+ 9999999999998099/10000000000000000 (* -1 (/ (- (* -1 (/ (+ 3683516130645841/2000000000000 (* 43600364987677261/10000000000000 (/ 1 z))) z)) 5826188486005177/10000000000000) z)))
(* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))
(* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))
(* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))
(* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))
(* (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))))
(* 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))))))
(* -1 z)
(* -1 (* z (- 1 (* 15/2 (/ 1 z)))))
(* -1 (* z (- 1 (* 15/2 (/ 1 z)))))
(* -1 (* z (- 1 (* 15/2 (/ 1 z)))))
(* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))
(* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))
(* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))
(* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))
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)))

Outputs
(exp (- (+ (* 1/2 (log 15/2)) (* 1/2 (log (* 2 (PI))))) 15/2))
(exp.f64 (fma.f64 (+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (log.f64 #s(literal 15/2 binary64))) #s(literal 1/2 binary64) #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 (+.f64 (log.f64 (.f64 (PI.f64) #s(literal 2 binary64))) (log.f64 #s(literal 15/2 binary64))) #s(literal 1/2 binary64) #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 (+.f64 (log.f64 (.f64 (PI.f64) #s(literal 2 binary64))) (log.f64 #s(literal 15/2 binary64))) #s(literal 1/2 binary64) #s(literal -15/2 binary64))) (fma.f64 z (fma.f64 (pow.f64 (-.f64 #s(literal 14/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 29/225 binary64)) (-.f64 #s(literal 14/15 binary64) (log.f64 #s(literal 15/2 binary64))))) z (exp.f64 (fma.f64 (+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (log.f64 #s(literal 15/2 binary64))) #s(literal 1/2 binary64) #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 (.f64 z z) (.f64 (exp.f64 (fma.f64 (+.f64 (log.f64 (.f64 (PI.f64) #s(literal 2 binary64))) (log.f64 #s(literal 15/2 binary64))) #s(literal 1/2 binary64) #s(literal -15/2 binary64))) (fma.f64 z (fma.f64 (pow.f64 (-.f64 #s(literal 14/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 3 binary64)) #s(literal 1/6 binary64) (fma.f64 #s(literal -29/225 binary64) (log.f64 #s(literal 15/2 binary64)) #s(literal 1304/10125 binary64))) (fma.f64 (pow.f64 (-.f64 #s(literal 14/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 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 (+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (log.f64 #s(literal 15/2 binary64))) #s(literal 1/2 binary64) #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)
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)
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(+ (* -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))))))
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(+ (* -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))))))
(fma.f64 (.f64 (.f64 #s(literal 9999999999998099/10000000000000000 binary64) (sqrt.f64 (PI.f64))) (.f64 (exp.f64 (-.f64 z #s(literal 15/2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (+.f64 (neg.f64 (.f64 (.f64 (.f64 #s(literal 611458333333720910362579/25000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (sqrt.f64 #s(literal 2 binary64)))) (exp.f64 (-.f64 z #s(literal 15/2 binary64))))) (/.f64 (.f64 (sqrt.f64 (PI.f64)) (fma.f64 #s(literal 1078390842009938509147167/6250000000000000000000 binary64) (.f64 (.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 (-.f64 z #s(literal 15/2 binary64)))) (.f64 (.f64 #s(literal -398308844029173303716389/6250000000000000000000 binary64) (exp.f64 (-.f64 z #s(literal 15/2 binary64)))) (*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) z))))) z)) z))
(* -1 z)
(neg.f64 z)
(* -1 (* z (- 1 (* 15/2 (/ 1 z)))))
(fma.f64 (/.f64 #s(literal 15/2 binary64) z) z (neg.f64 z))
(* -1 (* z (- 1 (* 15/2 (/ 1 z)))))
(fma.f64 (/.f64 #s(literal 15/2 binary64) z) z (neg.f64 z))
(* -1 (* z (- 1 (* 15/2 (/ 1 z)))))
(fma.f64 (/.f64 #s(literal 15/2 binary64) z) z (neg.f64 z))
(* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))
(.f64 (.f64 (*.f64 (exp.f64 (-.f64 z #s(literal 15/2 binary64))) (sqrt.f64 (PI.f64))) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))
(* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))
(.f64 (.f64 (*.f64 (exp.f64 (-.f64 z #s(literal 15/2 binary64))) (sqrt.f64 (PI.f64))) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))
(* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))
(.f64 (.f64 (*.f64 (exp.f64 (-.f64 z #s(literal 15/2 binary64))) (sqrt.f64 (PI.f64))) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))
(* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))
(.f64 (.f64 (*.f64 (exp.f64 (-.f64 z #s(literal 15/2 binary64))) (sqrt.f64 (PI.f64))) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))
9999999999998099/10000000000000000
#s(literal 9999999999998099/10000000000000000 binary64)
(+ 9999999999998099/10000000000000000 (* 5826188486005177/10000000000000 (/ 1 z)))
(+.f64 (/.f64 #s(literal 5826188486005177/10000000000000 binary64) z) #s(literal 9999999999998099/10000000000000000 binary64))
(+ 9999999999998099/10000000000000000 (+ (* 5826188486005177/10000000000000 (/ 1 z)) (/ 3683516130645841/2000000000000 (pow z 2))))
(+.f64 (+.f64 (/.f64 #s(literal 3683516130645841/2000000000000 binary64) (*.f64 z z)) #s(literal 9999999999998099/10000000000000000 binary64)) (/.f64 #s(literal 5826188486005177/10000000000000 binary64) 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 (/.f64 #s(literal 43600364987677261/10000000000000 binary64) z) #s(literal 3683516130645841/2000000000000 binary64)) z)) z))

rewrite365.0ms (0.3%)

Memory

-59.7MiB live, 348.4MiB allocated

Rules

3 862×	`lower-*.f32`
3 846×	`lower-*.f64`
3 644×	`lower-fma.f32`
3 636×	`lower-fma.f64`
3 200×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	111	392
0	182	322
1	780	293
2	7159	293
0	8104	289

Stop Event

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

Counts

21 → 691

Calls

Call 1

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

Outputs
(.f64 (.f64 (exp.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))) (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))))
(.f64 (exp.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (log1p.f64 (-.f64 (neg.f64 z) #s(literal -13/2 binary64))) (.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))))) (exp.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z))))
(.f64 (exp.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (log1p.f64 (-.f64 (neg.f64 z) #s(literal -13/2 binary64))) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))))
(.f64 (exp.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z))) (.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 #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))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))) (exp.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z))))
(.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))) (.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z)))))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (log1p.f64 (-.f64 (neg.f64 z) #s(literal -13/2 binary64))) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z)))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (log1p.f64 (-.f64 (neg.f64 z) #s(literal -13/2 binary64))) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z))))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))))) (exp.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64))))
(/.f64 (.f64 (.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 1 binary64)) (exp.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64))))
(/.f64 (.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64)))) (exp.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64))))
(exp.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (log1p.f64 (-.f64 (neg.f64 z) #s(literal -13/2 binary64))) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z)))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 z #s(literal -1 binary64)) #s(literal -1 binary64))))
(*.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) #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 (-.f64 z #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))))
(.f64 (expm1.f64 (.f64 (log1p.f64 (neg.f64 z)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) #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 #s(literal 1 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)) (-.f64 (-.f64 z #s(literal -1 binary64)) #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z #s(literal -1 binary64)) #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (-.f64 z #s(literal -1 binary64)) (-.f64 (-.f64 z #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (expm1.f64 (.f64 (log1p.f64 (neg.f64 z)) #s(literal 3 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) z)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64))) (.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z #s(literal -1 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (-.f64 z #s(literal -1 binary64)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z #s(literal -1 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 z #s(literal -1 binary64)) (-.f64 (-.f64 z #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (neg.f64 z)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) z))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z #s(literal -1 binary64)) #s(literal 2 binary64))) (-.f64 (-.f64 z #s(literal -1 binary64)) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))
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(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))) (-.f64 (pow.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) (-.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64))) (pow.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)) #s(literal 2 binary64))) (+.f64 (pow.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) #s(literal 3 binary64)))))
(fma.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))))
(fma.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))))
(fma.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)))
(fma.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 8 binary64))) (-.f64 (+.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)))
(fma.f64 (-.f64 #s(literal 99999999999961980000000003613801/100000000000000000000000000000000 binary64) (pow.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) #s(literal 6765203681218851/10000000000000 binary64) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))))
(fma.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)))
(fma.f64 (+.f64 (pow.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64)) #s(literal 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (-.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)) #s(literal 99999999999961980000000003613801/100000000000000000000000000000000 binary64))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))))
(fma.f64 #s(literal -6765203681218851/10000000000000 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) z))) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))))
(fma.f64 #s(literal 3147848041806007/2500000000000 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)))
(fma.f64 #s(literal -3147848041806007/2500000000000 binary64) (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)))
(fma.f64 #s(literal 6765203681218851/10000000000000 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))))
(-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)) #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))))) (/.f64 (pow.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))))))
(+.f64 (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) #s(literal 9999999999998099/10000000000000000 binary64)) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)))
(+.f64 (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))) #s(literal 9999999999998099/10000000000000000 binary64))
(+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)))
(+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 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 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))))
(+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))))

eval2.1s (1.4%)

Memory: 33.9MiB live, 2 287.3MiB allocated
Compiler: Compiled 592 632 to 18 656 computations (96.9% saved)

prune1.3s (0.9%)

Memory

19.4MiB live, 1 807.3MiB allocated

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	4 914	17	4 931
Fresh	9	1	10
Picked	5	0	5
Done	0	0	0
Total	4 928	18	4 946

Accuracy

99.6%

Counts

4 946 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.2%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.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))) (.f64 (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 9 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 7 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 6 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 5 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))))))))) (exp.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z)))))))
	99.1%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 9 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 7 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 6 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 5 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))))))))) (.f64 (exp.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (log1p.f64 (-.f64 (neg.f64 z) #s(literal -13/2 binary64))) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))))))
▶	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 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (-.f64 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))))))
	97.2%	(.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 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
▶	97.2%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 9 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 7 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 6 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 5 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))))))))) (.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))))) (exp.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z)))))
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▶	99.1%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))) (*.f64 (exp.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (log1p.f64 (-.f64 (neg.f64 z) #s(literal -13/2 binary64))) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z)))) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 9 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 7 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 6 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 5 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))))))))))))
	97.8%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 (fma.f64 (log.f64 (.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 1/2 binary64) (fma.f64 (log.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64))) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
	97.8%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 (fma.f64 (log.f64 (.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 1/2 binary64) (fma.f64 (log.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64))) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 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 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
	95.8%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 #s(approx ( (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 #s(literal -15/2 binary64))) (sqrt.f64 (PI.f64)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
	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 (.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 #s(literal -15/2 binary64))) (sqrt.f64 (PI.f64)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) #s(literal 479507597606835099/10000000000000000 binary64)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
▶	95.9%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) #s(approx (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))) (.f64 (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (.f64 (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 #s(literal -15/2 binary64))))))
▶	97.1%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) #s(approx (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 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 (.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 #s(literal -15/2 binary64))) (fma.f64 (sqrt.f64 #s(literal 15/2 binary64)) (fma.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64)) (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 #s(literal 15/2 binary64))))) z (.f64 (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (exp.f64 #s(literal -15/2 binary64))) (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))))

Compiler

Compiled 3 428 to 2 042 computations (40.4% saved)

simplify203.0ms (0.1%)

Memory

30.6MiB live, 208.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	192	(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 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	256	(-.f64 #s(literal 1 binary64) (-.f64 z #s(literal -1 binary64)))
cost-diff	0	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) #s(approx (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 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 (.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 #s(literal -15/2 binary64))) (fma.f64 (sqrt.f64 #s(literal 15/2 binary64)) (fma.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64)) (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 #s(literal 15/2 binary64))))) z (.f64 (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (exp.f64 #s(literal -15/2 binary64))) (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))))
cost-diff	64	(fma.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64))
cost-diff	960	(fma.f64 (sqrt.f64 #s(literal 15/2 binary64)) (fma.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64)) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 #s(literal 15/2 binary64))))
cost-diff	7680	(fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 #s(literal -15/2 binary64))) (fma.f64 (sqrt.f64 #s(literal 15/2 binary64)) (fma.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64)) (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 #s(literal 15/2 binary64))))) z (.f64 (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (exp.f64 #s(literal -15/2 binary64))) (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
cost-diff	192	(-.f64 #s(literal 6 binary64) (-.f64 z #s(literal -1 binary64)))
cost-diff	192	(-.f64 #s(literal 7 binary64) (-.f64 z #s(literal -1 binary64)))
cost-diff	192	(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))
cost-diff	192	(-.f64 #s(literal 9 binary64) (-.f64 z #s(literal -1 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 (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))) (.f64 (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (.f64 (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 #s(literal -15/2 binary64))))))
cost-diff	192	(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))
cost-diff	192	(-.f64 #s(literal 9 binary64) (-.f64 z #s(literal -1 binary64)))
cost-diff	192	(+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z))
cost-diff	192	(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))

Rules

6 292×	`lower-+.f32`
6 244×	`lower-+.f64`
5 706×	`lower-fma.f32`
5 694×	`lower-fma.f64`
5 482×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	169	3363
0	282	3017
1	568	2877
2	1795	2391
0	8550	2381

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 (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))) (*.f64 (exp.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (log1p.f64 (-.f64 (neg.f64 z) #s(literal -13/2 binary64))) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z)))) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 9 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 7 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 6 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 5 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))))))))))))
(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
(PI.f64)
(sin.f64 (*.f64 (PI.f64) z))
(*.f64 (PI.f64) z)
z
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))) (*.f64 (exp.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (log1p.f64 (-.f64 (neg.f64 z) #s(literal -13/2 binary64))) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z)))) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 9 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 7 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 6 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 5 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64)))))))))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))
(*.f64 #s(literal 2 binary64) (PI.f64))
#s(literal 2 binary64)
(*.f64 (exp.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (log1p.f64 (-.f64 (neg.f64 z) #s(literal -13/2 binary64))) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z)))) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 9 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 7 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 6 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 5 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))))))))))
(exp.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (log1p.f64 (-.f64 (neg.f64 z) #s(literal -13/2 binary64))) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z))))
(fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (log1p.f64 (-.f64 (neg.f64 z) #s(literal -13/2 binary64))) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z)))
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))
(-.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
#s(literal 1/2 binary64)
(log1p.f64 (-.f64 (neg.f64 z) #s(literal -13/2 binary64)))
(-.f64 (neg.f64 z) #s(literal -13/2 binary64))
(neg.f64 z)
#s(literal -13/2 binary64)
(+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z))
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(-.f64 z #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 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))
#s(literal 7713234287776531/10000000000000 binary64)
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64))
#s(literal 3 binary64)
(/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))
#s(literal -883075145810703/5000000000000 binary64)
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64))
#s(literal 4 binary64)
(/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))
#s(literal 2501468655737381/200000000000000 binary64)
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64))
#s(literal 5 binary64)
(/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))
#s(literal -3464277381643003/25000000000000000 binary64)
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64))
#s(literal 6 binary64)
(/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))
#s(literal 2496092394504893/250000000000000000000 binary64)
(+.f64 (-.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)))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(PI.f64)
(sin.f64 (*.f64 (PI.f64) z))
(sin.f64 (*.f64 z (PI.f64)))
(*.f64 (PI.f64) z)
(*.f64 z (PI.f64))
z
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#s(literal 2 binary64)
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(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))
(-.f64 #s(literal 1/2 binary64) z)
(-.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
#s(literal 1/2 binary64)
(log1p.f64 (-.f64 (neg.f64 z) #s(literal -13/2 binary64)))
(log1p.f64 (-.f64 #s(literal 13/2 binary64) z))
(-.f64 (neg.f64 z) #s(literal -13/2 binary64))
(-.f64 #s(literal 13/2 binary64) z)
(neg.f64 z)
#s(literal -13/2 binary64)
(+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z))
(+.f64 #s(literal -15/2 binary64) z)
#s(literal -1 binary64)
(+.f64 #s(literal -13/2 binary64) z)
(-.f64 z #s(literal 13/2 binary64))
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#s(literal 3764081837873279/25000000000000000000000 binary64)
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(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (-.f64 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 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)))))))
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (-.f64 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 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64))))))
(+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (-.f64 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 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)))))
(+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (-.f64 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 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64))))
(+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (-.f64 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 -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)))
(+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (-.f64 z #s(literal -1 binary64))) #s(literal 1 binary64))))
(+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64))
#s(literal 9999999999998099/10000000000000000 binary64)
(/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (-.f64 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 #s(literal 1 binary64) (-.f64 z #s(literal -1 binary64))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) z)
(-.f64 #s(literal 1 binary64) (-.f64 z #s(literal -1 binary64)))
(neg.f64 z)
(-.f64 z #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 -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 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(neg.f64 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 (-.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)

localize1.4s (1%)

Memory

-7.2MiB live, 1 564.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	1.0	(sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))
accuracy	2.7618499841217723	(+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (-.f64 z #s(literal -1 binary64))) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64))))
accuracy	58.227889687340536	(-.f64 #s(literal 1 binary64) (-.f64 z #s(literal -1 binary64)))
accuracy	58.23317759992164	(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
accuracy	1.0	(*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 #s(literal -15/2 binary64)))
accuracy	1.0	(*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 #s(literal 15/2 binary64)))
accuracy	1.0	(sqrt.f64 (PI.f64))
accuracy	2.0	(fma.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64))
accuracy	0.7895517994119104	#s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64)))
accuracy	0.9609375	(/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)))
accuracy	0.96484375	(+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 5 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64)))))
accuracy	1.0	(sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))
accuracy	0.33203125	(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
accuracy	0.3359375	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) #s(approx (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))) (.f64 (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (.f64 (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 #s(literal -15/2 binary64))))))
accuracy	1.0	(sqrt.f64 (PI.f64))
accuracy	1.7558821318802214	#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)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))) (.f64 (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (.f64 (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 #s(literal -15/2 binary64)))))
accuracy	0.9609375	(*.f64 (exp.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (log1p.f64 (-.f64 (neg.f64 z) #s(literal -13/2 binary64))) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z)))) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 9 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 7 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 6 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 5 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))))))))))
accuracy	0.96484375	(+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 5 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64)))))
accuracy	1.0	(sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))
accuracy	1.5542999030367304	(exp.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (log1p.f64 (-.f64 (neg.f64 z) #s(literal -13/2 binary64))) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z))))

Samples

660.0ms	177×	1	valid
291.0ms	58×	2	valid
58.0ms	21×	0	valid

Compiler

Compiled 3 139 to 156 computations (95% saved)

Precisions

Click to see histograms. Total time spent on operations: 718.0ms

ival-mult: 146.0ms (20.3% of total)

ival-add: 140.0ms (19.5% of total)

adjust: 134.0ms (18.7% of total)

const: 122.0ms (17% of total)

ival-div: 46.0ms (6.4% of total)

ival-sub: 36.0ms (5% of total)

ival-exp: 28.0ms (3.9% of total)

ival-pow: 21.0ms (2.9% of total)

ival-sqrt: 11.0ms (1.5% of total)

ival-pi: 9.0ms (1.3% of total)

ival-log1p: 7.0ms (1% of total)

ival-log: 6.0ms (0.8% of total)

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

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

exact: 2.0ms (0.3% of total)

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

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

series135.0ms (0.1%)

Memory

-22.9MiB live, 137.3MiB allocated

Counts

28 → 252

Calls

Call 1

Inputs
#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>) () ())
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Calls

3 calls:

Time

Variable

Point

Expression

42.0ms

((- (- 1 z) 1/2) (+ -1 (+ -13/2 z)) (- 9 (- z -1)) (- (- 1 z) -6) (* (/ (PI) (sin (* (PI) z))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (/ (PI) (sin (* (PI) z))) (PI) (sin (* (PI) z)) (- 7 (- z -1)) (- 6 (- z -1)) (+ (* (* (* (sqrt 2) (exp -15/2)) (+ (* (sqrt 15/2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (- -1/15 (log 15/2))) 102757979785251069442117317613/235200000000000000000000000)) (* 1106209385320415913103082059/4200000000000000000000000 (sqrt 15/2)))) z) (* (* 1106209385320415913103082059/4200000000000000000000000 (exp -15/2)) (* (sqrt 15/2) (sqrt 2)))) (+ (* (sqrt 15/2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (- -1/15 (log 15/2))) 102757979785251069442117317613/235200000000000000000000000)) (* 1106209385320415913103082059/4200000000000000000000000 (sqrt 15/2))) (+ (* 1106209385320415913103082059/4200000000000000000000000 (- -1/15 (log 15/2))) 102757979785251069442117317613/235200000000000000000000000) (* (/ (PI) (sin (* (PI) z))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (- 1 (- z -1)) (- (- 1 z) 1) (- (- 1 z) -13/2) (exp (+ (* (- (- 1 z) 1/2) (log (+ 1 (- (neg z) -13/2)))) (+ -1 (+ -13/2 z)))) (sqrt (* 2 (PI))) (+ (/ -883075145810703/5000000000000 (- 5 (- z -1))) (+ (/ 7713234287776531/10000000000000 (- (- 1 z) -2)) (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))))) (* (exp (+ (* (- (- 1 z) 1/2) (log (+ 1 (- (neg z) -13/2)))) (+ -1 (+ -13/2 z)))) (+ (/ 3764081837873279/25000000000000000000000 (- 9 (- z -1))) (+ (/ 2496092394504893/250000000000000000000 (- (- 1 z) -6)) (+ (/ -3464277381643003/25000000000000000 (- 7 (- z -1))) (+ (/ 2501468655737381/200000000000000 (- 6 (- z -1))) (+ (/ -883075145810703/5000000000000 (- 5 (- z -1))) (+ (/ 7713234287776531/10000000000000 (- (- 1 z) -2)) (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2)))))))))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))) (sqrt (PI)) (/ 7713234287776531/10000000000000 (- (- 1 z) -2)) (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (* 1106209385320415913103082059/4200000000000000000000000 (sqrt 15/2)) (* (sqrt 2) (exp -15/2)) (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- 1 (- z -1)) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))))

37.0ms

-inf

((- (- 1 z) 1/2) (+ -1 (+ -13/2 z)) (- 9 (- z -1)) (- (- 1 z) -6) (* (/ (PI) (sin (* (PI) z))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (/ (PI) (sin (* (PI) z))) (PI) (sin (* (PI) z)) (- 7 (- z -1)) (- 6 (- z -1)) (+ (* (* (* (sqrt 2) (exp -15/2)) (+ (* (sqrt 15/2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (- -1/15 (log 15/2))) 102757979785251069442117317613/235200000000000000000000000)) (* 1106209385320415913103082059/4200000000000000000000000 (sqrt 15/2)))) z) (* (* 1106209385320415913103082059/4200000000000000000000000 (exp -15/2)) (* (sqrt 15/2) (sqrt 2)))) (+ (* (sqrt 15/2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (- -1/15 (log 15/2))) 102757979785251069442117317613/235200000000000000000000000)) (* 1106209385320415913103082059/4200000000000000000000000 (sqrt 15/2))) (+ (* 1106209385320415913103082059/4200000000000000000000000 (- -1/15 (log 15/2))) 102757979785251069442117317613/235200000000000000000000000) (* (/ (PI) (sin (* (PI) z))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (- 1 (- z -1)) (- (- 1 z) 1) (- (- 1 z) -13/2) (exp (+ (* (- (- 1 z) 1/2) (log (+ 1 (- (neg z) -13/2)))) (+ -1 (+ -13/2 z)))) (sqrt (* 2 (PI))) (+ (/ -883075145810703/5000000000000 (- 5 (- z -1))) (+ (/ 7713234287776531/10000000000000 (- (- 1 z) -2)) (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))))) (* (exp (+ (* (- (- 1 z) 1/2) (log (+ 1 (- (neg z) -13/2)))) (+ -1 (+ -13/2 z)))) (+ (/ 3764081837873279/25000000000000000000000 (- 9 (- z -1))) (+ (/ 2496092394504893/250000000000000000000 (- (- 1 z) -6)) (+ (/ -3464277381643003/25000000000000000 (- 7 (- z -1))) (+ (/ 2501468655737381/200000000000000 (- 6 (- z -1))) (+ (/ -883075145810703/5000000000000 (- 5 (- z -1))) (+ (/ 7713234287776531/10000000000000 (- (- 1 z) -2)) (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2)))))))))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))) (sqrt (PI)) (/ 7713234287776531/10000000000000 (- (- 1 z) -2)) (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (* 1106209385320415913103082059/4200000000000000000000000 (sqrt 15/2)) (* (sqrt 2) (exp -15/2)) (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- 1 (- z -1)) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))))

7.0ms

inf

((- (- 1 z) 1/2) (+ -1 (+ -13/2 z)) (- 9 (- z -1)) (- (- 1 z) -6) (* (/ (PI) (sin (* (PI) z))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (/ (PI) (sin (* (PI) z))) (PI) (sin (* (PI) z)) (- 7 (- z -1)) (- 6 (- z -1)) (+ (* (* (* (sqrt 2) (exp -15/2)) (+ (* (sqrt 15/2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (- -1/15 (log 15/2))) 102757979785251069442117317613/235200000000000000000000000)) (* 1106209385320415913103082059/4200000000000000000000000 (sqrt 15/2)))) z) (* (* 1106209385320415913103082059/4200000000000000000000000 (exp -15/2)) (* (sqrt 15/2) (sqrt 2)))) (+ (* (sqrt 15/2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (- -1/15 (log 15/2))) 102757979785251069442117317613/235200000000000000000000000)) (* 1106209385320415913103082059/4200000000000000000000000 (sqrt 15/2))) (+ (* 1106209385320415913103082059/4200000000000000000000000 (- -1/15 (log 15/2))) 102757979785251069442117317613/235200000000000000000000000) (* (/ (PI) (sin (* (PI) z))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (- 1 (- z -1)) (- (- 1 z) 1) (- (- 1 z) -13/2) (exp (+ (* (- (- 1 z) 1/2) (log (+ 1 (- (neg z) -13/2)))) (+ -1 (+ -13/2 z)))) (sqrt (* 2 (PI))) (+ (/ -883075145810703/5000000000000 (- 5 (- z -1))) (+ (/ 7713234287776531/10000000000000 (- (- 1 z) -2)) (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))))) (* (exp (+ (* (- (- 1 z) 1/2) (log (+ 1 (- (neg z) -13/2)))) (+ -1 (+ -13/2 z)))) (+ (/ 3764081837873279/25000000000000000000000 (- 9 (- z -1))) (+ (/ 2496092394504893/250000000000000000000 (- (- 1 z) -6)) (+ (/ -3464277381643003/25000000000000000 (- 7 (- z -1))) (+ (/ 2501468655737381/200000000000000 (- 6 (- z -1))) (+ (/ -883075145810703/5000000000000 (- 5 (- z -1))) (+ (/ 7713234287776531/10000000000000 (- (- 1 z) -2)) (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2)))))))))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))) (sqrt (PI)) (/ 7713234287776531/10000000000000 (- (- 1 z) -2)) (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (* 1106209385320415913103082059/4200000000000000000000000 (sqrt 15/2)) (* (sqrt 2) (exp -15/2)) (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- 1 (- z -1)) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))))

simplify213.0ms (0.1%)

Memory

12.0MiB live, 340.0MiB allocated

Algorithm

1×	egg-herbie

Rules

7 956×	`lower-fma.f64`
7 956×	`lower-fma.f32`
7 346×	`lower-*.f64`
7 346×	`lower-*.f32`
2 892×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	590	5643
1	1848	5386
2	6506	5298
0	8412	5067

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 250

Calls

Call 1

Inputs
1/2
(+ 1/2 (* -1 z))
(+ 1/2 (* -1 z))
(+ 1/2 (* -1 z))
-15/2
(- z 15/2)
(- z 15/2)
(- z 15/2)
8
(+ 8 (* -1 z))
(+ 8 (* -1 z))
(+ 8 (* -1 z))
7
(+ 7 (* -1 z))
(+ 7 (* -1 z))
(+ 7 (* -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)
(/ 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)
(* 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))))))))
6
(+ 6 (* -1 z))
(+ 6 (* -1 z))
(+ 6 (* -1 z))
5
(+ 5 (* -1 z))
(+ 5 (* -1 z))
(+ 5 (* -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))))))))))
(* 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)
(* -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))
(exp (- (* 1/2 (log 15/2)) 15/2))
(+ (exp (- (* 1/2 (log 15/2)) 15/2)) (* z (* (exp (- (* 1/2 (log 15/2)) 15/2)) (+ 14/15 (* -1 (log 15/2))))))
(+ (exp (- (* 1/2 (log 15/2)) 15/2)) (* z (+ (* z (* (exp (- (* 1/2 (log 15/2)) 15/2)) (+ 29/225 (* 1/2 (pow (+ 14/15 (* -1 (log 15/2))) 2))))) (* (exp (- (* 1/2 (log 15/2)) 15/2)) (+ 14/15 (* -1 (log 15/2)))))))
(+ (exp (- (* 1/2 (log 15/2)) 15/2)) (* z (+ (* z (+ (* z (* (exp (- (* 1/2 (log 15/2)) 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)) 15/2)) (+ 29/225 (* 1/2 (pow (+ 14/15 (* -1 (log 15/2))) 2)))))) (* (exp (- (* 1/2 (log 15/2)) 15/2)) (+ 14/15 (* -1 (log 15/2)))))))
7827144361880981797/30000000000000000
(+ 7827144361880981797/30000000000000000 (* 314207804027640689/720000000000000 z))
(+ 7827144361880981797/30000000000000000 (* z (+ 314207804027640689/720000000000000 (* 4708246094784852251/8640000000000000 z))))
(+ 7827144361880981797/30000000000000000 (* z (+ 314207804027640689/720000000000000 (* z (+ 4708246094784852251/8640000000000000 (* 62898174544540606049/103680000000000000 z))))))
(* 1106209385320415913103082059/4200000000000000000000000 (exp (- (* 1/2 (log 15/2)) 15/2)))
(+ (* 1106209385320415913103082059/4200000000000000000000000 (exp (- (* 1/2 (log 15/2)) 15/2))) (* z (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (exp (- (* 1/2 (log 15/2)) 15/2)) (+ 14/15 (* -1 (log 15/2))))) (* 102757979785251069442117317613/235200000000000000000000000 (exp (- (* 1/2 (log 15/2)) 15/2))))))
(+ (* 1106209385320415913103082059/4200000000000000000000000 (exp (- (* 1/2 (log 15/2)) 15/2))) (* z (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (exp (- (* 1/2 (log 15/2)) 15/2)) (+ 14/15 (* -1 (log 15/2))))) (+ (* 102757979785251069442117317613/235200000000000000000000000 (exp (- (* 1/2 (log 15/2)) 15/2))) (* z (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (exp (- (* 1/2 (log 15/2)) 15/2)) (+ 29/225 (* 1/2 (pow (+ 14/15 (* -1 (log 15/2))) 2))))) (+ (* 102757979785251069442117317613/235200000000000000000000000 (* (exp (- (* 1/2 (log 15/2)) 15/2)) (+ 14/15 (* -1 (log 15/2))))) (* 64608921419941589693928044520019/118540800000000000000000000000 (exp (- (* 1/2 (log 15/2)) 15/2))))))))))
(+ (* 1106209385320415913103082059/4200000000000000000000000 (exp (- (* 1/2 (log 15/2)) 15/2))) (* z (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (exp (- (* 1/2 (log 15/2)) 15/2)) (+ 14/15 (* -1 (log 15/2))))) (+ (* 102757979785251069442117317613/235200000000000000000000000 (exp (- (* 1/2 (log 15/2)) 15/2))) (* z (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (exp (- (* 1/2 (log 15/2)) 15/2)) (+ 29/225 (* 1/2 (pow (+ 14/15 (* -1 (log 15/2))) 2))))) (+ (* 102757979785251069442117317613/235200000000000000000000000 (* (exp (- (* 1/2 (log 15/2)) 15/2)) (+ 14/15 (* -1 (log 15/2))))) (+ (* 64608921419941589693928044520019/118540800000000000000000000000 (exp (- (* 1/2 (log 15/2)) 15/2))) (* z (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (exp (- (* 1/2 (log 15/2)) 15/2)) (+ 86/10125 (+ (* 29/225 (+ 14/15 (* -1 (log 15/2)))) (* 1/6 (pow (+ 14/15 (* -1 (log 15/2))) 3)))))) (+ (* 102757979785251069442117317613/235200000000000000000000000 (* (exp (- (* 1/2 (log 15/2)) 15/2)) (+ 29/225 (* 1/2 (pow (+ 14/15 (* -1 (log 15/2))) 2))))) (+ (* 64608921419941589693928044520019/118540800000000000000000000000 (* (exp (- (* 1/2 (log 15/2)) 15/2)) (+ 14/15 (* -1 (log 15/2))))) (* 4027292589444183035165374538123333/6638284800000000000000000000000 (exp (- (* 1/2 (log 15/2)) 15/2)))))))))))))))
(* 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))))))))))
7713234287776531/30000000000000
(+ 7713234287776531/30000000000000 (* 7713234287776531/90000000000000 z))
(+ 7713234287776531/30000000000000 (* z (+ 7713234287776531/90000000000000 (* 7713234287776531/270000000000000 z))))
(+ 7713234287776531/30000000000000 (* z (+ 7713234287776531/90000000000000 (* z (+ 7713234287776531/270000000000000 (* 7713234287776531/810000000000000 z))))))
479507597606835099/10000000000000000
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(+ (* -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))))))
(/ -7713234287776531/10000000000000 z)
(* -1 (/ (+ 7713234287776531/10000000000000 (* 23139702863329593/10000000000000 (/ 1 z))) z))
(* -1 (/ (+ 7713234287776531/10000000000000 (+ (* 23139702863329593/10000000000000 (/ 1 z)) (/ 69419108589988779/10000000000000 (pow z 2)))) z))
(* -1 (/ (+ 7713234287776531/10000000000000 (* -1 (/ (- (* -1 (/ (+ 69419108589988779/10000000000000 (* 208257325769966337/10000000000000 (/ 1 z))) z)) 23139702863329593/10000000000000) z))) z))
9999999999998099/10000000000000000
(+ 9999999999998099/10000000000000000 (* 5826188486005177/10000000000000 (/ 1 z)))
(+ 9999999999998099/10000000000000000 (+ (* 5826188486005177/10000000000000 (/ 1 z)) (/ 3683516130645841/2000000000000 (pow z 2))))
(+ 9999999999998099/10000000000000000 (* -1 (/ (- (* -1 (/ (+ 3683516130645841/2000000000000 (* 43600364987677261/10000000000000 (/ 1 z))) z)) 5826188486005177/10000000000000) z)))
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)))

Outputs
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)
-15/2
#s(literal -15/2 binary64)
(- z 15/2)
(-.f64 z #s(literal 15/2 binary64))
(- z 15/2)
(-.f64 z #s(literal 15/2 binary64))
(- z 15/2)
(-.f64 z #s(literal 15/2 binary64))
8
#s(literal 8 binary64)
(+ 8 (* -1 z))
(-.f64 #s(literal 8 binary64) z)
(+ 8 (* -1 z))
(-.f64 #s(literal 8 binary64) z)
(+ 8 (* -1 z))
(-.f64 #s(literal 8 binary64) 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)
(* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) z) (sqrt (PI))))
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(/ (+ (* 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)
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(/ (+ (* 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)
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(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(/ (+ 1 (* 1/6 (* (pow z 2) (pow (PI) 2)))) z)
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(* z (PI))
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(fma.f64 (.f64 (.f64 #s(literal 9999999999998099/10000000000000000 binary64) (sqrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))) (exp.f64 (-.f64 z #s(literal 15/2 binary64)))) (.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sin.f64 (.f64 (PI.f64) z)))) (/.f64 (fma.f64 (.f64 #s(literal 611458333333720910362579/25000000000000000000000 binary64) (/.f64 (.f64 (.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 (-.f64 z #s(literal 15/2 binary64)))) (sin.f64 (.f64 (PI.f64) z)))) (sqrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) (/.f64 (fma.f64 (.f64 (.f64 #s(literal 1078390842009938509147167/6250000000000000000000 binary64) (sqrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))) (exp.f64 (-.f64 z #s(literal 15/2 binary64)))) (.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sin.f64 (.f64 (PI.f64) z)))) (.f64 (.f64 #s(literal -398308844029173303716389/6250000000000000000000 binary64) (sqrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))) (.f64 (/.f64 (.f64 (exp.f64 (-.f64 z #s(literal 15/2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) z) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sin.f64 (*.f64 (PI.f64) z)))))) (neg.f64 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 (- 1 (* 15/2 (/ 1 z)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 15/2 binary64) z)) (neg.f64 z))
(* -1 (* z (- 1 (* 15/2 (/ 1 z)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 15/2 binary64) z)) (neg.f64 z))
(* -1 (* z (- 1 (* 15/2 (/ 1 z)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 15/2 binary64) z)) (neg.f64 z))
(exp (- (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z))) (+ 15/2 (* -1 z))))
(*.f64 (exp.f64 (-.f64 z #s(literal 15/2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))
(exp (- (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z))) (+ 15/2 (* -1 z))))
(*.f64 (exp.f64 (-.f64 z #s(literal 15/2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))
(exp (- (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z))) (+ 15/2 (* -1 z))))
(*.f64 (exp.f64 (-.f64 z #s(literal 15/2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))
(exp (- (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z))) (+ 15/2 (* -1 z))))
(*.f64 (exp.f64 (-.f64 z #s(literal 15/2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))
9999999999998099/10000000000000000
#s(literal 9999999999998099/10000000000000000 binary64)
(- 9999999999998099/10000000000000000 (* 30223877537487/2500000000000 (/ 1 z)))
(-.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 30223877537487/2500000000000 binary64) z))
(+ 9999999999998099/10000000000000000 (* -1 (/ (- 30223877537487/2500000000000 (* 585619739096309/2500000000000 (/ 1 z))) z)))
(-.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 (-.f64 #s(literal 30223877537487/2500000000000 binary64) (/.f64 #s(literal 585619739096309/2500000000000 binary64) z)) z))
(+ 9999999999998099/10000000000000000 (* -1 (/ (+ 30223877537487/2500000000000 (* -1 (/ (+ 585619739096309/2500000000000 (* 1219830531815489/5000000000000 (/ 1 z))) z))) z)))
(-.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 (-.f64 #s(literal 30223877537487/2500000000000 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1219830531815489/5000000000000 binary64) z) #s(literal 585619739096309/2500000000000 binary64)) z)) z))
(* 9999999999998099/10000000000000000 (exp (- (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z))) (+ 15/2 (* -1 z)))))
(.f64 (.f64 (exp.f64 (-.f64 z #s(literal 15/2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) #s(literal 9999999999998099/10000000000000000 binary64))
(+ (* -611458333333720910362579/25000000000000000000000 (/ (exp (- (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z))) (+ 15/2 (* -1 z)))) z)) (* 9999999999998099/10000000000000000 (exp (- (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z))) (+ 15/2 (* -1 z))))))
(fma.f64 (/.f64 (.f64 (exp.f64 (-.f64 z #s(literal 15/2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) z) #s(literal -611458333333720910362579/25000000000000000000000 binary64) (.f64 (*.f64 (exp.f64 (-.f64 z #s(literal 15/2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) #s(literal 9999999999998099/10000000000000000 binary64)))
(+ (* -1 (/ (+ (* -1078390842009938509147167/6250000000000000000000 (/ (exp (- (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z))) (+ 15/2 (* -1 z)))) z)) (* 611458333333720910362579/25000000000000000000000 (exp (- (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z))) (+ 15/2 (* -1 z)))))) z)) (* 9999999999998099/10000000000000000 (exp (- (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z))) (+ 15/2 (* -1 z))))))
(fma.f64 (.f64 (exp.f64 (-.f64 z #s(literal 15/2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 (fma.f64 (/.f64 (.f64 (exp.f64 (-.f64 z #s(literal 15/2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) z) #s(literal -1078390842009938509147167/6250000000000000000000 binary64) (.f64 (.f64 (exp.f64 (-.f64 z #s(literal 15/2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) #s(literal 611458333333720910362579/25000000000000000000000 binary64))) (neg.f64 z)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -398308844029173303716389/6250000000000000000000 (/ (exp (- (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z))) (+ 15/2 (* -1 z)))) z)) (* 1078390842009938509147167/6250000000000000000000 (exp (- (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z))) (+ 15/2 (* -1 z)))))) z)) (* 611458333333720910362579/25000000000000000000000 (exp (- (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z))) (+ 15/2 (* -1 z)))))) z)) (* 9999999999998099/10000000000000000 (exp (- (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z))) (+ 15/2 (* -1 z))))))
(-.f64 (.f64 (.f64 (exp.f64 (-.f64 z #s(literal 15/2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) #s(literal 9999999999998099/10000000000000000 binary64)) (/.f64 (fma.f64 (.f64 (exp.f64 (-.f64 z #s(literal 15/2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) #s(literal 611458333333720910362579/25000000000000000000000 binary64) (/.f64 (fma.f64 (/.f64 (.f64 (exp.f64 (-.f64 z #s(literal 15/2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) z) #s(literal -398308844029173303716389/6250000000000000000000 binary64) (.f64 (.f64 (exp.f64 (-.f64 z #s(literal 15/2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) #s(literal 1078390842009938509147167/6250000000000000000000 binary64))) (neg.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))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (.f64 (exp.f64 (-.f64 z #s(literal 15/2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(+ (* -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))))))
(fma.f64 (.f64 (.f64 #s(literal 9999999999998099/10000000000000000 binary64) (sqrt.f64 (PI.f64))) (.f64 (exp.f64 (-.f64 z #s(literal 15/2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))) (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 #s(literal -611458333333720910362579/25000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (.f64 (*.f64 (exp.f64 (-.f64 z #s(literal 15/2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) z)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 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))))))
(fma.f64 (.f64 (.f64 #s(literal 9999999999998099/10000000000000000 binary64) (sqrt.f64 (PI.f64))) (.f64 (exp.f64 (-.f64 z #s(literal 15/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (/.f64 (fma.f64 (.f64 #s(literal -1078390842009938509147167/6250000000000000000000 binary64) (sqrt.f64 (PI.f64))) (.f64 (.f64 (exp.f64 (-.f64 z #s(literal 15/2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) z)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (.f64 (.f64 (.f64 #s(literal 611458333333720910362579/25000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (sqrt.f64 #s(literal 2 binary64)))) (exp.f64 (-.f64 z #s(literal 15/2 binary64))))) (neg.f64 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))))))
(fma.f64 (.f64 (.f64 #s(literal 9999999999998099/10000000000000000 binary64) (sqrt.f64 (PI.f64))) (.f64 (exp.f64 (-.f64 z #s(literal 15/2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (fma.f64 (.f64 #s(literal 611458333333720910362579/25000000000000000000000 binary64) (.f64 (.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 (-.f64 z #s(literal 15/2 binary64))))) (sqrt.f64 (PI.f64)) (/.f64 (fma.f64 (.f64 #s(literal -398308844029173303716389/6250000000000000000000 binary64) (sqrt.f64 (PI.f64))) (.f64 (.f64 (exp.f64 (-.f64 z #s(literal 15/2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) z)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (.f64 (.f64 (.f64 #s(literal 1078390842009938509147167/6250000000000000000000 binary64) (sqrt.f64 (PI.f64))) (*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (sqrt.f64 #s(literal 2 binary64)))) (exp.f64 (-.f64 z #s(literal 15/2 binary64))))) (neg.f64 z))) (neg.f64 z)))
(/ -7713234287776531/10000000000000 z)
(/.f64 #s(literal -7713234287776531/10000000000000 binary64) z)
(* -1 (/ (+ 7713234287776531/10000000000000 (* 23139702863329593/10000000000000 (/ 1 z))) z))
(/.f64 (-.f64 #s(literal -7713234287776531/10000000000000 binary64) (/.f64 #s(literal 23139702863329593/10000000000000 binary64) z)) z)
(* -1 (/ (+ 7713234287776531/10000000000000 (+ (* 23139702863329593/10000000000000 (/ 1 z)) (/ 69419108589988779/10000000000000 (pow z 2)))) z))
(/.f64 (+.f64 (+.f64 #s(literal 7713234287776531/10000000000000 binary64) (/.f64 (/.f64 #s(literal 69419108589988779/10000000000000 binary64) z) z)) (/.f64 #s(literal 23139702863329593/10000000000000 binary64) z)) (neg.f64 z))
(* -1 (/ (+ 7713234287776531/10000000000000 (* -1 (/ (- (* -1 (/ (+ 69419108589988779/10000000000000 (* 208257325769966337/10000000000000 (/ 1 z))) z)) 23139702863329593/10000000000000) z))) z))
(/.f64 (-.f64 #s(literal 7713234287776531/10000000000000 binary64) (/.f64 (-.f64 #s(literal -23139702863329593/10000000000000 binary64) (/.f64 (+.f64 (/.f64 #s(literal 208257325769966337/10000000000000 binary64) z) #s(literal 69419108589988779/10000000000000 binary64)) z)) z)) (neg.f64 z))
9999999999998099/10000000000000000
#s(literal 9999999999998099/10000000000000000 binary64)
(+ 9999999999998099/10000000000000000 (* 5826188486005177/10000000000000 (/ 1 z)))
(+.f64 (/.f64 #s(literal 5826188486005177/10000000000000 binary64) z) #s(literal 9999999999998099/10000000000000000 binary64))
(+ 9999999999998099/10000000000000000 (+ (* 5826188486005177/10000000000000 (/ 1 z)) (/ 3683516130645841/2000000000000 (pow z 2))))
(+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 3683516130645841/2000000000000 binary64) (*.f64 z z))) (/.f64 #s(literal 5826188486005177/10000000000000 binary64) 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 (/.f64 #s(literal 43600364987677261/10000000000000 binary64) z) #s(literal 3683516130645841/2000000000000 binary64)) z)) z))
9999999999998099/10000000000000000
#s(literal 9999999999998099/10000000000000000 binary64)
(+ 9999999999998099/10000000000000000 (* 5826188486005177/10000000000000 (/ 1 z)))
(+.f64 (/.f64 #s(literal 5826188486005177/10000000000000 binary64) z) #s(literal 9999999999998099/10000000000000000 binary64))
(+ 9999999999998099/10000000000000000 (+ (* 5826188486005177/10000000000000 (/ 1 z)) (/ 3683516130645841/2000000000000 (pow z 2))))
(+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 3683516130645841/2000000000000 binary64) (*.f64 z z))) (/.f64 #s(literal 5826188486005177/10000000000000 binary64) 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 (/.f64 #s(literal 43600364987677261/10000000000000 binary64) z) #s(literal 3683516130645841/2000000000000 binary64)) z)) z))

rewrite225.0ms (0.2%)

Memory

6.4MiB live, 321.6MiB allocated

Rules

4 438×	`lower-*.f32`
4 408×	`lower-*.f64`
4 140×	`lower-/.f32`
4 122×	`lower-/.f64`
2 658×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	139	764
0	214	664
1	1167	647
0	8366	647

Stop Event

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

Counts

28 → 457

Calls

Call 1

Inputs
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))
(+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z))
(-.f64 #s(literal 9 binary64) (-.f64 z #s(literal -1 binary64)))
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) #s(approx (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))) (.f64 (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (.f64 (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 #s(literal -15/2 binary64))))))
(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
(PI.f64)
(sin.f64 (*.f64 (PI.f64) z))
(-.f64 #s(literal 7 binary64) (-.f64 z #s(literal -1 binary64)))
(-.f64 #s(literal 6 binary64) (-.f64 z #s(literal -1 binary64)))
(fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 #s(literal -15/2 binary64))) (fma.f64 (sqrt.f64 #s(literal 15/2 binary64)) (fma.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64)) (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 #s(literal 15/2 binary64))))) z (.f64 (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (exp.f64 #s(literal -15/2 binary64))) (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (sqrt.f64 #s(literal 15/2 binary64)) (fma.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64)) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 #s(literal 15/2 binary64))))
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(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) #s(approx (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 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 (.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 #s(literal -15/2 binary64))) (fma.f64 (sqrt.f64 #s(literal 15/2 binary64)) (fma.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64)) (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 #s(literal 15/2 binary64))))) z (.f64 (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (exp.f64 #s(literal -15/2 binary64))) (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))))
(-.f64 #s(literal 1 binary64) (-.f64 z #s(literal -1 binary64)))
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
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(sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))
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(*.f64 (exp.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (log1p.f64 (-.f64 (neg.f64 z) #s(literal -13/2 binary64))) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z)))) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 9 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 7 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 6 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 5 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))))))))))
#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)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))) (.f64 (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (.f64 (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 #s(literal -15/2 binary64)))))
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(/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)))
#s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64)))
(*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 #s(literal 15/2 binary64)))
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(+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (-.f64 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))))

Outputs
(*.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))))
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(.f64 (+.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))
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(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 z #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 z #s(literal 1/2 binary64)) (+.f64 z #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) (+.f64 z #s(literal 1/2 binary64))))))
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(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))))
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(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
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(/.f64 (+.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
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(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (-.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64))))
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(fma.f64 #s(literal -3147848041806007/2500000000000 binary64) (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)))
(-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)) #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))))) (/.f64 (pow.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))))))
(+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)))
(+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))))
(+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))))

eval458.0ms (0.3%)

Memory: 23.2MiB live, 678.0MiB allocated
Compiler: Compiled 171 767 to 8 380 computations (95.1% saved)

prune394.0ms (0.3%)

Memory

-37.2MiB live, 746.2MiB allocated

Pruning

31 alts after pruning (31 fresh and 0 done)

	Pruned	Kept	Total
New	1 760	30	1 790
Fresh	12	1	13
Picked	5	0	5
Done	0	0	0
Total	1 777	31	1 808

Accuracy

100.0%

Counts

1 808 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
	95.9%	(/.f64 (.f64 (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)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 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 (PI.f64) z)))
	95.9%	(/.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)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 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 (PI.f64) z)) (PI.f64)))
	95.1%	(.f64 (/.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (sin.f64 (.f64 (PI.f64) z))) #s(approx ( (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))) (.f64 (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (.f64 (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 #s(literal -15/2 binary64))))))
	96.8%	(.f64 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) (sin.f64 (.f64 (PI.f64) z))) #s(approx (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))) (.f64 (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (.f64 (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 #s(literal -15/2 binary64))))))
	98.2%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) z))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))) (.f64 (exp.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (log1p.f64 (-.f64 (neg.f64 z) #s(literal -13/2 binary64))) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z)))) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 9 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 7 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 6 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 5 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))))))))))))
	96.9%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) z))) #s(approx ( (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))) (.f64 (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (.f64 (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 #s(literal -15/2 binary64))))))
	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 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (-.f64 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 #s(approx (- (- 1 z) 1) (neg.f64 z)) #s(literal 8 binary64))))))
	97.4%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
▶	97.3%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 9 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 7 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 6 binary64) (-.f64 z #s(literal -1 binary64)))) #s(approx (+ (/ -883075145810703/5000000000000 (- 5 (- z -1))) (+ (/ 7713234287776531/10000000000000 (- (- 1 z) -2)) (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 62898174544540606049/103680000000000000 binary64) z #s(literal 4708246094784852251/8640000000000000 binary64)) z #s(literal 314207804027640689/720000000000000 binary64)) z #s(literal 7827144361880981797/30000000000000000 binary64))))))) (.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))))) (exp.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z)))))
	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 #s(literal 1 binary64) (-.f64 z #s(literal -1 binary64))) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (+.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
	97.7%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (exp.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (log1p.f64 (-.f64 (neg.f64 z) #s(literal -13/2 binary64))) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z)))) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 9 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 7 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 6 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 5 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))))))))))))
▶	99.1%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))) (.f64 (exp.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (log1p.f64 (-.f64 (neg.f64 z) #s(literal -13/2 binary64))) (fma.f64 (+.f64 #s(literal -2197/8 binary64) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 169/4 binary64) (-.f64 (.f64 z z) (*.f64 #s(literal -13/2 binary64) z)))) #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 9 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 7 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 6 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 5 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))))))))))))
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▶	95.9%	(.f64 (/.f64 (PI.f64) #s(approx (sin ( (PI) z)) (.f64 (fma.f64 (.f64 (.f64 z z) #s(literal -1/6 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64)) (PI.f64)) z))) #s(approx ( (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))) (.f64 (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (.f64 (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 #s(literal -15/2 binary64))))))
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	95.9%	(.f64 (/.f64 (PI.f64) #s(approx (sin ( (PI) z)) (.f64 (PI.f64) z))) #s(approx ( (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))) (.f64 (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (.f64 (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 #s(literal -15/2 binary64))))))
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	96.2%	(.f64 #s(approx (/ (PI) (sin ( (PI) z))) (/.f64 (fma.f64 (.f64 (.f64 (.f64 z z) #s(literal 1/6 binary64)) (PI.f64)) (PI.f64) #s(literal 1 binary64)) z)) (.f64 (.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))) (.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (-.f64 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))))))
	97.2%	(.f64 #s(approx (/ (PI) (sin ( (PI) z))) (/.f64 (fma.f64 (.f64 (.f64 (.f64 z z) #s(literal 1/6 binary64)) (PI.f64)) (PI.f64) #s(literal 1 binary64)) z)) (.f64 (.f64 (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 9 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 7 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 6 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 5 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))))))))) (.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))))) (exp.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z)))))
	98.8%	(.f64 #s(approx (/ (PI) (sin ( (PI) z))) (/.f64 (fma.f64 (.f64 (.f64 (.f64 z z) #s(literal 1/6 binary64)) (PI.f64)) (PI.f64) #s(literal 1 binary64)) z)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))) (.f64 (exp.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (log1p.f64 (-.f64 (neg.f64 z) #s(literal -13/2 binary64))) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z)))) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 9 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 7 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 6 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 5 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))))))))))))
	95.8%	(.f64 #s(approx (/ (PI) (sin ( (PI) z))) (/.f64 (fma.f64 (.f64 (.f64 (.f64 z z) #s(literal 1/6 binary64)) (PI.f64)) (PI.f64) #s(literal 1 binary64)) z)) #s(approx ( (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))) (.f64 (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (.f64 (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 #s(literal -15/2 binary64))))))
▶	97.0%	(.f64 #s(approx (/ (PI) (sin ( (PI) z))) (/.f64 #s(literal 1 binary64) z)) (.f64 (.f64 (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 9 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 7 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 6 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 5 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))))))))) (.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))))) (exp.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z)))))
	98.6%	(.f64 #s(approx (/ (PI) (sin ( (PI) z))) (/.f64 #s(literal 1 binary64) z)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))) (*.f64 (exp.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (log1p.f64 (-.f64 (neg.f64 z) #s(literal -13/2 binary64))) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z)))) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 9 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 7 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 6 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 5 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))))))))))))
	95.8%	(.f64 #s(approx (/ (PI) (sin ( (PI) z))) (/.f64 #s(literal 1 binary64) z)) #s(approx (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))) (.f64 (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (.f64 (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 #s(literal -15/2 binary64))))))
	97.0%	(.f64 #s(approx (/ (PI) (sin ( (PI) z))) (/.f64 #s(literal 1 binary64) z)) #s(approx (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 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 (.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 #s(literal -15/2 binary64))) (fma.f64 (sqrt.f64 #s(literal 15/2 binary64)) (fma.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64)) (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 #s(literal 15/2 binary64))))) z (.f64 (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (exp.f64 #s(literal -15/2 binary64))) (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))))
▶	96.6%	#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (exp.f64 #s(literal -15/2 binary64)) z))))

Compiler

Compiled 3 796 to 2 666 computations (29.8% saved)

simplify183.0ms (0.1%)

Memory

13.9MiB live, 250.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	192	(-.f64 #s(literal 6 binary64) (-.f64 z #s(literal -1 binary64)))
cost-diff	192	(-.f64 #s(literal 7 binary64) (-.f64 z #s(literal -1 binary64)))
cost-diff	192	(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))
cost-diff	192	(-.f64 #s(literal 9 binary64) (-.f64 z #s(literal -1 binary64)))
cost-diff	192	(-.f64 #s(literal 6 binary64) (-.f64 z #s(literal -1 binary64)))
cost-diff	192	(-.f64 #s(literal 7 binary64) (-.f64 z #s(literal -1 binary64)))
cost-diff	192	(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))
cost-diff	192	(-.f64 #s(literal 9 binary64) (-.f64 z #s(literal -1 binary64)))
cost-diff	0	#s(approx (sin (* (PI) z)) (.f64 (fma.f64 (.f64 (*.f64 z z) #s(literal -1/6 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64)) (PI.f64)) z))
cost-diff	0	(PI.f64)
cost-diff	0	(/.f64 (PI.f64) #s(approx (sin (* (PI) z)) (.f64 (fma.f64 (.f64 (*.f64 z z) #s(literal -1/6 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64)) (PI.f64)) z)))
cost-diff	0	(.f64 (/.f64 (PI.f64) #s(approx (sin ( (PI) z)) (.f64 (fma.f64 (.f64 (.f64 z z) #s(literal -1/6 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64)) (PI.f64)) z))) #s(approx ( (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))) (.f64 (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (.f64 (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 #s(literal -15/2 binary64))))))
cost-diff	0	(sqrt.f64 (PI.f64))
cost-diff	0	(*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))
cost-diff	0	(.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (exp.f64 #s(literal -15/2 binary64)) z)))
cost-diff	0	#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (exp.f64 #s(literal -15/2 binary64)) z))))
cost-diff	192	(-.f64 #s(literal 9 binary64) (-.f64 z #s(literal -1 binary64)))
cost-diff	192	(fma.f64 (+.f64 #s(literal -2197/8 binary64) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 169/4 binary64) (-.f64 (.f64 z z) (.f64 #s(literal -13/2 binary64) z)))) #s(literal -1 binary64))
cost-diff	192	(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))
cost-diff	320	(-.f64 (.f64 z z) (.f64 #s(literal -13/2 binary64) z))

Rules

7 008×	`lower-*.f32`
6 960×	`lower-*.f64`
6 748×	`lower-+.f32`
6 720×	`lower-+.f64`
5 716×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	174	3223
0	271	3011
1	545	2889
2	1722	2449
0	8988	2441

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 (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))) (.f64 (exp.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (log1p.f64 (-.f64 (neg.f64 z) #s(literal -13/2 binary64))) (fma.f64 (+.f64 #s(literal -2197/8 binary64) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 169/4 binary64) (-.f64 (.f64 z z) (*.f64 #s(literal -13/2 binary64) z)))) #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 9 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 7 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 6 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 5 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))))))))))))
(/.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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(fma.f64 (fma.f64 (fma.f64 #s(literal 62898174544540606049/103680000000000000 binary64) z #s(literal 4708246094784852251/8640000000000000 binary64)) z #s(literal 314207804027640689/720000000000000 binary64)) z #s(literal 7827144361880981797/30000000000000000 binary64))
(fma.f64 (fma.f64 #s(literal 62898174544540606049/103680000000000000 binary64) z #s(literal 4708246094784852251/8640000000000000 binary64)) z #s(literal 314207804027640689/720000000000000 binary64))
(fma.f64 #s(literal 62898174544540606049/103680000000000000 binary64) z #s(literal 4708246094784852251/8640000000000000 binary64))
#s(literal 62898174544540606049/103680000000000000 binary64)
#s(literal 4708246094784852251/8640000000000000 binary64)
#s(literal 314207804027640689/720000000000000 binary64)
#s(literal 7827144361880981797/30000000000000000 binary64)
(.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))))
(pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)))
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64))
#s(literal -13/2 binary64)
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))
(*.f64 #s(literal 2 binary64) (PI.f64))
#s(literal 2 binary64)
(exp.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z)))
(+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z))
(+.f64 #s(literal -13/2 binary64) z)

Outputs
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))) (.f64 (exp.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (log1p.f64 (-.f64 (neg.f64 z) #s(literal -13/2 binary64))) (fma.f64 (+.f64 #s(literal -2197/8 binary64) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 169/4 binary64) (-.f64 (.f64 z z) (*.f64 #s(literal -13/2 binary64) z)))) #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 9 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 7 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 6 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 5 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))))))))))))
(.f64 (.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (.f64 (exp.f64 (+.f64 (/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -2197/8 binary64)) (fma.f64 (-.f64 z #s(literal -13/2 binary64)) z #s(literal 169/4 binary64))) #s(literal -1 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z))) (+.f64 (+.f64 (+.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))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))) (+.f64 #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)))))))
(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(PI.f64)
(sin.f64 (*.f64 (PI.f64) z))
(sin.f64 (*.f64 z (PI.f64)))
(*.f64 (PI.f64) z)
(*.f64 z (PI.f64))
z
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))) (.f64 (exp.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (log1p.f64 (-.f64 (neg.f64 z) #s(literal -13/2 binary64))) (fma.f64 (+.f64 #s(literal -2197/8 binary64) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 169/4 binary64) (-.f64 (.f64 z z) (*.f64 #s(literal -13/2 binary64) z)))) #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 9 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 7 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 6 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 5 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64)))))))))))
(.f64 (.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))) (+.f64 (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z))) (+.f64 (+.f64 (+.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))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))) (+.f64 #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)))))) (exp.f64 (+.f64 (/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -2197/8 binary64)) (fma.f64 (-.f64 z #s(literal -13/2 binary64)) z #s(literal 169/4 binary64))) #s(literal -1 binary64)))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))
(*.f64 #s(literal 2 binary64) (PI.f64))
#s(literal 2 binary64)
(.f64 (exp.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (log1p.f64 (-.f64 (neg.f64 z) #s(literal -13/2 binary64))) (fma.f64 (+.f64 #s(literal -2197/8 binary64) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 169/4 binary64) (-.f64 (.f64 z z) (*.f64 #s(literal -13/2 binary64) z)))) #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 9 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 7 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 6 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 5 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))))))))))
(.f64 (.f64 (+.f64 (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z))) (+.f64 (+.f64 (+.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))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))) (+.f64 #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z))))) (exp.f64 (+.f64 (/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -2197/8 binary64)) (fma.f64 (-.f64 z #s(literal -13/2 binary64)) z #s(literal 169/4 binary64))) #s(literal -1 binary64)))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))
(exp.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (log1p.f64 (-.f64 (neg.f64 z) #s(literal -13/2 binary64))) (fma.f64 (+.f64 #s(literal -2197/8 binary64) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 169/4 binary64) (-.f64 (.f64 z z) (.f64 #s(literal -13/2 binary64) z)))) #s(literal -1 binary64))))
(exp.f64 (fma.f64 (log1p.f64 (-.f64 #s(literal 13/2 binary64) z)) (-.f64 #s(literal 1/2 binary64) z) (+.f64 (/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -2197/8 binary64)) (fma.f64 (-.f64 z #s(literal -13/2 binary64)) z #s(literal 169/4 binary64))) #s(literal -1 binary64))))
(fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (log1p.f64 (-.f64 (neg.f64 z) #s(literal -13/2 binary64))) (fma.f64 (+.f64 #s(literal -2197/8 binary64) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 169/4 binary64) (-.f64 (.f64 z z) (.f64 #s(literal -13/2 binary64) z)))) #s(literal -1 binary64)))
(fma.f64 (log1p.f64 (-.f64 #s(literal 13/2 binary64) z)) (-.f64 #s(literal 1/2 binary64) z) (+.f64 (/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -2197/8 binary64)) (fma.f64 (-.f64 z #s(literal -13/2 binary64)) z #s(literal 169/4 binary64))) #s(literal -1 binary64)))
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))
(-.f64 #s(literal 1/2 binary64) z)
(-.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
#s(literal 1/2 binary64)
(log1p.f64 (-.f64 (neg.f64 z) #s(literal -13/2 binary64)))
(log1p.f64 (-.f64 #s(literal 13/2 binary64) z))
(-.f64 (neg.f64 z) #s(literal -13/2 binary64))
(-.f64 #s(literal 13/2 binary64) z)
(neg.f64 z)
#s(literal -13/2 binary64)
(fma.f64 (+.f64 #s(literal -2197/8 binary64) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 169/4 binary64) (-.f64 (.f64 z z) (.f64 #s(literal -13/2 binary64) z)))) #s(literal -1 binary64))
(+.f64 (/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -2197/8 binary64)) (fma.f64 (-.f64 z #s(literal -13/2 binary64)) z #s(literal 169/4 binary64))) #s(literal -1 binary64))
(+.f64 #s(literal -2197/8 binary64) (pow.f64 z #s(literal 3 binary64)))
(+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -2197/8 binary64))
#s(literal -2197/8 binary64)
(pow.f64 z #s(literal 3 binary64))
#s(literal 3 binary64)
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 169/4 binary64) (-.f64 (.f64 z z) (.f64 #s(literal -13/2 binary64) z))))
(/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 z #s(literal -13/2 binary64)) z #s(literal 169/4 binary64)))
(+.f64 #s(literal 169/4 binary64) (-.f64 (.f64 z z) (.f64 #s(literal -13/2 binary64) z)))
(fma.f64 (-.f64 z #s(literal -13/2 binary64)) z #s(literal 169/4 binary64))
#s(literal 169/4 binary64)
(-.f64 (.f64 z z) (.f64 #s(literal -13/2 binary64) z))
(*.f64 (-.f64 z #s(literal -13/2 binary64)) z)
(*.f64 z z)
(*.f64 #s(literal -13/2 binary64) z)
#s(literal -1 binary64)
(+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 9 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 7 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 6 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 5 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64)))))))))
(+.f64 (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z))) (+.f64 (+.f64 (+.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))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))) (+.f64 #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)))))
(/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 9 binary64) (-.f64 z #s(literal -1 binary64))))
(/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z))
#s(literal 3764081837873279/25000000000000000000000 binary64)
(-.f64 #s(literal 9 binary64) (-.f64 z #s(literal -1 binary64)))
(-.f64 #s(literal 8 binary64) z)
#s(literal 9 binary64)
(-.f64 z #s(literal -1 binary64))
(+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 7 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 6 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 5 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))))))))
(+.f64 (+.f64 (+.f64 (+.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))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))) (+.f64 #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)))
(/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64)))
(/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))
#s(literal 2496092394504893/250000000000000000000 binary64)
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))
(-.f64 #s(literal 7 binary64) z)
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(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(PI.f64)
(sin.f64 (*.f64 (PI.f64) z))
(sin.f64 (*.f64 z (PI.f64)))
(*.f64 (PI.f64) z)
(*.f64 z (PI.f64))
z
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(/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z))
#s(literal 3764081837873279/25000000000000000000000 binary64)
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#s(literal 9 binary64)
(-.f64 z #s(literal -1 binary64))
#s(literal -1 binary64)
(+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 7 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 6 binary64) (-.f64 z #s(literal -1 binary64)))) #s(approx (+ (/ -883075145810703/5000000000000 (- 5 (- z -1))) (+ (/ 7713234287776531/10000000000000 (- (- 1 z) -2)) (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 62898174544540606049/103680000000000000 binary64) z #s(literal 4708246094784852251/8640000000000000 binary64)) z #s(literal 314207804027640689/720000000000000 binary64)) z #s(literal 7827144361880981797/30000000000000000 binary64))))))
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(/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64)))
(/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))
#s(literal 2496092394504893/250000000000000000000 binary64)
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))
(-.f64 #s(literal 7 binary64) z)
(-.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
#s(literal -6 binary64)
(+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 7 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 6 binary64) (-.f64 z #s(literal -1 binary64)))) #s(approx (+ (/ -883075145810703/5000000000000 (- 5 (- z -1))) (+ (/ 7713234287776531/10000000000000 (- (- 1 z) -2)) (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 62898174544540606049/103680000000000000 binary64) z #s(literal 4708246094784852251/8640000000000000 binary64)) z #s(literal 314207804027640689/720000000000000 binary64)) z #s(literal 7827144361880981797/30000000000000000 binary64)))))
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(/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 7 binary64) (-.f64 z #s(literal -1 binary64))))
(/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z))
#s(literal -3464277381643003/25000000000000000 binary64)
(-.f64 #s(literal 7 binary64) (-.f64 z #s(literal -1 binary64)))
(-.f64 #s(literal 6 binary64) z)
#s(literal 7 binary64)
(+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 6 binary64) (-.f64 z #s(literal -1 binary64)))) #s(approx (+ (/ -883075145810703/5000000000000 (- 5 (- z -1))) (+ (/ 7713234287776531/10000000000000 (- (- 1 z) -2)) (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 62898174544540606049/103680000000000000 binary64) z #s(literal 4708246094784852251/8640000000000000 binary64)) z #s(literal 314207804027640689/720000000000000 binary64)) z #s(literal 7827144361880981797/30000000000000000 binary64))))
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(/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z))
#s(literal 2501468655737381/200000000000000 binary64)
(-.f64 #s(literal 6 binary64) (-.f64 z #s(literal -1 binary64)))
(-.f64 #s(literal 5 binary64) z)
#s(literal 6 binary64)
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(fma.f64 (fma.f64 (fma.f64 #s(literal 62898174544540606049/103680000000000000 binary64) z #s(literal 4708246094784852251/8640000000000000 binary64)) z #s(literal 314207804027640689/720000000000000 binary64)) z #s(literal 7827144361880981797/30000000000000000 binary64))
(fma.f64 (fma.f64 #s(literal 62898174544540606049/103680000000000000 binary64) z #s(literal 4708246094784852251/8640000000000000 binary64)) z #s(literal 314207804027640689/720000000000000 binary64))
(fma.f64 #s(literal 62898174544540606049/103680000000000000 binary64) z #s(literal 4708246094784852251/8640000000000000 binary64))
#s(literal 62898174544540606049/103680000000000000 binary64)
#s(literal 4708246094784852251/8640000000000000 binary64)
#s(literal 314207804027640689/720000000000000 binary64)
#s(literal 7827144361880981797/30000000000000000 binary64)
(.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))))
(.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))))
(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)))
(pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))
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#s(literal -13/2 binary64)
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(-.f64 #s(literal 1/2 binary64) z)
#s(literal 1/2 binary64)
(sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))
(*.f64 #s(literal 2 binary64) (PI.f64))
#s(literal 2 binary64)
(exp.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z)))
(exp.f64 (+.f64 #s(literal -15/2 binary64) z))
(+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z))
(+.f64 #s(literal -15/2 binary64) z)
(+.f64 #s(literal -13/2 binary64) z)
(-.f64 z #s(literal 13/2 binary64))

localize5.1s (3.6%)

Memory

-5.0MiB live, 1 138.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.3359375	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 9 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 7 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 6 binary64) (-.f64 z #s(literal -1 binary64)))) #s(approx (+ (/ -883075145810703/5000000000000 (- 5 (- z -1))) (+ (/ 7713234287776531/10000000000000 (- (- 1 z) -2)) (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 62898174544540606049/103680000000000000 binary64) z #s(literal 4708246094784852251/8640000000000000 binary64)) z #s(literal 314207804027640689/720000000000000 binary64)) z #s(literal 7827144361880981797/30000000000000000 binary64))))))) (.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))))) (exp.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z)))))
accuracy	0.6171875000000001	(.f64 (.f64 (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 9 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 7 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 6 binary64) (-.f64 z #s(literal -1 binary64)))) #s(approx (+ (/ -883075145810703/5000000000000 (- 5 (- z -1))) (+ (/ 7713234287776531/10000000000000 (- (- 1 z) -2)) (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 62898174544540606049/103680000000000000 binary64) z #s(literal 4708246094784852251/8640000000000000 binary64)) z #s(literal 314207804027640689/720000000000000 binary64)) z #s(literal 7827144361880981797/30000000000000000 binary64))))))) (.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))))) (exp.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z))))
accuracy	0.783674134835693	#s(approx (+ (/ -883075145810703/5000000000000 (- 5 (- z -1))) (+ (/ 7713234287776531/10000000000000 (- (- 1 z) -2)) (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 62898174544540606049/103680000000000000 binary64) z #s(literal 4708246094784852251/8640000000000000 binary64)) z #s(literal 314207804027640689/720000000000000 binary64)) z #s(literal 7827144361880981797/30000000000000000 binary64)))
accuracy	1.0	(sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))
accuracy	0.9451842148156582	#s(approx (/ (PI) (sin (* (PI) z))) (/.f64 #s(literal 1 binary64) z))
accuracy	0.9609375	(/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)))
accuracy	0.96484375	(+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 5 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64)))))
accuracy	1.0	(sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))
accuracy	0.7595277505202715	#s(approx (sin (* (PI) z)) (.f64 (fma.f64 (.f64 (*.f64 z z) #s(literal -1/6 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64)) (PI.f64)) z))
accuracy	1.0	(pow.f64 (PI.f64) #s(literal 3 binary64))
accuracy	1.0	(sqrt.f64 (PI.f64))
accuracy	1.7558821318802214	#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)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))) (.f64 (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (.f64 (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 #s(literal -15/2 binary64)))))
accuracy	0.30697250976844204	(.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (exp.f64 #s(literal -15/2 binary64)) z)))
accuracy	0.55078125	(/.f64 (exp.f64 #s(literal -15/2 binary64)) z)
accuracy	1.0	(sqrt.f64 (PI.f64))
accuracy	1.7661661994043278	#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (exp.f64 #s(literal -15/2 binary64)) z))))
accuracy	0.9609375	(.f64 (exp.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (log1p.f64 (-.f64 (neg.f64 z) #s(literal -13/2 binary64))) (fma.f64 (+.f64 #s(literal -2197/8 binary64) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 169/4 binary64) (-.f64 (.f64 z z) (*.f64 #s(literal -13/2 binary64) z)))) #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 9 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 7 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 6 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 5 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))))))))))
accuracy	0.96484375	(+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 5 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64)))))
accuracy	1.0	(sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))
accuracy	1.5542999030367304	(exp.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (log1p.f64 (-.f64 (neg.f64 z) #s(literal -13/2 binary64))) (fma.f64 (+.f64 #s(literal -2197/8 binary64) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 169/4 binary64) (-.f64 (.f64 z z) (.f64 #s(literal -13/2 binary64) z)))) #s(literal -1 binary64))))

Samples

625.0ms	251×	0	valid
9.0ms	4×	1	valid
3.0ms	1×	2	valid

Compiler

Compiled 2 923 to 157 computations (94.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 526.0ms

ival-add: 313.0ms (59.5% of total)

const: 62.0ms (11.8% of total)

ival-mult: 52.0ms (9.9% of total)

ival-div: 28.0ms (5.3% of total)

ival-sub: 17.0ms (3.2% of total)

ival-pow: 17.0ms (3.2% of total)

ival-exp: 14.0ms (2.7% of total)

ival-sqrt: 9.0ms (1.7% of total)

ival-log1p: 4.0ms (0.8% of total)

ival-sinu: 3.0ms (0.6% of total)

adjust: 2.0ms (0.4% of total)

exact: 2.0ms (0.4% of total)

ival-neg: 2.0ms (0.4% of total)

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

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

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

series180.0ms (0.1%)

Memory

6.4MiB live, 126.6MiB allocated

Counts

27 → 264

Calls

Call 1

Inputs
#s(alt (-.f64 (.f64 z z) (.f64 #s(literal -13/2 binary64) z)) (patch (-.f64 (.f64 z z) (.f64 #s(literal -13/2 binary64) z)) #<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 (fma.f64 (+.f64 #s(literal -2197/8 binary64) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 169/4 binary64) (-.f64 (.f64 z z) (.f64 #s(literal -13/2 binary64) z)))) #s(literal -1 binary64)) (patch (fma.f64 (+.f64 #s(literal -2197/8 binary64) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 169/4 binary64) (-.f64 (.f64 z z) (.f64 #s(literal -13/2 binary64) z)))) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 9 binary64) (-.f64 z #s(literal -1 binary64))) (patch (-.f64 #s(literal 9 binary64) (-.f64 z #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (exp.f64 #s(literal -15/2 binary64)) z)))) (patch #s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (exp.f64 #s(literal -15/2 binary64)) z)))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (exp.f64 #s(literal -15/2 binary64)) z))) (patch (.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (exp.f64 #s(literal -15/2 binary64)) z))) #<representation binary64>) () ())
#s(alt (.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (patch (.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (PI.f64)) (patch (sqrt.f64 (PI.f64)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 (PI.f64) #s(approx (sin ( (PI) z)) (.f64 (fma.f64 (.f64 (.f64 z z) #s(literal -1/6 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64)) (PI.f64)) z))) #s(approx ( (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))) (.f64 (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (.f64 (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 #s(literal -15/2 binary64)))))) (patch (.f64 (/.f64 (PI.f64) #s(approx (sin ( (PI) z)) (.f64 (fma.f64 (.f64 (.f64 z z) #s(literal -1/6 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64)) (PI.f64)) z))) #s(approx ( (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))) (.f64 (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (.f64 (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 #s(literal -15/2 binary64)))))) #<representation binary64>) () ())
#s(alt (/.f64 (PI.f64) #s(approx (sin (* (PI) z)) (.f64 (fma.f64 (.f64 (.f64 z z) #s(literal -1/6 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64)) (PI.f64)) z))) (patch (/.f64 (PI.f64) #s(approx (sin ( (PI) z)) (.f64 (fma.f64 (.f64 (*.f64 z z) #s(literal -1/6 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64)) (PI.f64)) z))) #<representation binary64>) () ())
#s(alt (PI.f64) (patch (PI.f64) #<representation binary64>) () ())
#s(alt #s(approx (sin (* (PI) z)) (.f64 (fma.f64 (.f64 (.f64 z z) #s(literal -1/6 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64)) (PI.f64)) z)) (patch #s(approx (sin ( (PI) z)) (.f64 (fma.f64 (.f64 (*.f64 z z) #s(literal -1/6 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64)) (PI.f64)) z)) #<representation binary64>) () ())
#s(alt (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64)) (patch (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 7 binary64) (-.f64 z #s(literal -1 binary64))) (patch (-.f64 #s(literal 7 binary64) (-.f64 z #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 6 binary64) (-.f64 z #s(literal -1 binary64))) (patch (-.f64 #s(literal 6 binary64) (-.f64 z #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (exp.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (log1p.f64 (-.f64 (neg.f64 z) #s(literal -13/2 binary64))) (fma.f64 (+.f64 #s(literal -2197/8 binary64) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 169/4 binary64) (-.f64 (.f64 z z) (.f64 #s(literal -13/2 binary64) z)))) #s(literal -1 binary64)))) (patch (exp.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (log1p.f64 (-.f64 (neg.f64 z) #s(literal -13/2 binary64))) (fma.f64 (+.f64 #s(literal -2197/8 binary64) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 169/4 binary64) (-.f64 (.f64 z z) (.f64 #s(literal -13/2 binary64) z)))) #s(literal -1 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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Calls

3 calls:

Time

Variable

Point

Expression

69.0ms

inf

((- (* z z) (* -13/2 z)) (- (- 1 z) 1/2) (+ (* (+ -2197/8 (pow z 3)) (/ 1 (+ 169/4 (- (* z z) (* -13/2 z))))) -1) (- 9 (- z -1)) (* (/ (PI) (sin (* (PI) z))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (* (* (sqrt (PI)) 1106209385320415913103082059/4200000000000000000000000) (* (* (sqrt 15/2) (sqrt 2)) (/ (exp -15/2) z))) (* (sqrt (PI)) 1106209385320415913103082059/4200000000000000000000000) (sqrt (PI)) (* (/ (PI) (sin (* (PI) z))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (/ (PI) (sin (* (PI) z))) (PI) (sin (* (PI) z)) (- (- 1 z) -6) (- 7 (- z -1)) (- 6 (- z -1)) (exp (+ (* (- (- 1 z) 1/2) (log (+ 1 (- (neg z) -13/2)))) (+ (* (+ -2197/8 (pow z 3)) (/ 1 (+ 169/4 (- (* z z) (* -13/2 z))))) -1))) (sqrt (* 2 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1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))) (pow (PI) 3) (/ 7713234287776531/10000000000000 (- (- 1 z) -2)) (/ (PI) (sin (* (PI) z))) (+ (/ -883075145810703/5000000000000 (- 5 (- z -1))) (+ (/ 7713234287776531/10000000000000 (- (- 1 z) -2)) (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))))) (* (* (+ (/ 3764081837873279/25000000000000000000000 (- 9 (- z -1))) (+ (/ 2496092394504893/250000000000000000000 (- (- 1 z) -6)) (+ (/ -3464277381643003/25000000000000000 (- 7 (- z -1))) (+ (/ 2501468655737381/200000000000000 (- 6 (- z -1))) (+ (/ -883075145810703/5000000000000 (- 5 (- z -1))) (+ (/ 7713234287776531/10000000000000 (- (- 1 z) -2)) (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))))))))) (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* 2 (PI))))) (exp (+ -1 (+ -13/2 z)))) (* (/ (PI) (sin (* (PI) z))) (* (* (+ (/ 3764081837873279/25000000000000000000000 (- 9 (- z -1))) (+ (/ 2496092394504893/250000000000000000000 (- (- 1 z) -6)) (+ (/ -3464277381643003/25000000000000000 (- 7 (- z -1))) (+ (/ 2501468655737381/200000000000000 (- 6 (- z -1))) (+ (/ -883075145810703/5000000000000 (- 5 (- z -1))) (+ (/ 7713234287776531/10000000000000 (- (- 1 z) -2)) (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))))))))) (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* 2 (PI))))) (exp (+ -1 (+ -13/2 z))))))

6.0ms

-inf

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5.0ms

((- (* z z) (* -13/2 z)) (- (- 1 z) 1/2) (+ (* (+ -2197/8 (pow z 3)) (/ 1 (+ 169/4 (- (* z z) (* -13/2 z))))) -1) (- 9 (- z -1)) (* (/ (PI) (sin (* (PI) z))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (* (* (sqrt (PI)) 1106209385320415913103082059/4200000000000000000000000) (* (* (sqrt 15/2) (sqrt 2)) (/ (exp -15/2) z))) (* (sqrt (PI)) 1106209385320415913103082059/4200000000000000000000000) (sqrt (PI)) (* (/ (PI) (sin (* (PI) z))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (/ (PI) (sin (* (PI) z))) (PI) (sin (* (PI) z)) (- (- 1 z) -6) (- 7 (- z -1)) (- 6 (- z -1)) (exp (+ (* (- (- 1 z) 1/2) (log (+ 1 (- (neg z) -13/2)))) (+ (* (+ -2197/8 (pow z 3)) (/ 1 (+ 169/4 (- (* z z) (* -13/2 z))))) -1))) (sqrt (* 2 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6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))))))))) (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* 2 (PI))))) (exp (+ -1 (+ -13/2 z))))))

simplify410.0ms (0.3%)

Memory

-225.9MiB live, 295.2MiB allocated

Algorithm

1×	egg-herbie

Rules

7 578×	`lower-fma.f64`
7 578×	`lower-fma.f32`
6 904×	`lower-*.f64`
6 904×	`lower-*.f32`
2 824×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	559	8077
1	1741	7753
2	6099	7624
0	8282	7263

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 262

Calls

Call 1

Inputs
(* 13/2 z)
(* z (+ 13/2 z))
(* z (+ 13/2 z))
(* z (+ 13/2 z))
1/2
(+ 1/2 (* -1 z))
(+ 1/2 (* -1 z))
(+ 1/2 (* -1 z))
-15/2
(- z 15/2)
(- z 15/2)
(- z 15/2)
8
(+ 8 (* -1 z))
(+ 8 (* -1 z))
(+ 8 (* -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)
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(* 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))))
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(/ 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)
(* 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))))))))
7
(+ 7 (* -1 z))
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6
(+ 6 (* -1 z))
(+ 6 (* -1 z))
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5
(+ 5 (* -1 z))
(+ 5 (* -1 z))
(+ 5 (* -1 z))
(exp (- (* 1/2 (log 15/2)) 15/2))
(+ (exp (- (* 1/2 (log 15/2)) 15/2)) (* z (* (exp (- (* 1/2 (log 15/2)) 15/2)) (+ 14/15 (* -1 (log 15/2))))))
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7827144361880981797/30000000000000000
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(/ (exp -15/2) z)
(/ (exp -15/2) z)
(/ (exp -15/2) z)
(/ (exp -15/2) z)
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7713234287776531/30000000000000
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(/ (+ 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)
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7827144361880981797/30000000000000000
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(* 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))))
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(/ (PI) (sin (* z (PI))))
(/ (PI) (sin (* z (PI))))
(/ (PI) (sin (* z (PI))))
(/ (PI) (sin (* z (PI))))
(sin (* z (PI)))
(sin (* z (PI)))
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(* -1 (* z (- 1 (* 7 (/ 1 z)))))
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(* -1 (* z (- 1 (* 5 (/ 1 z)))))
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(exp (- (+ (* -1 (/ (+ 2197/8 (* -1 (pow z 3))) (- (+ 169/4 (pow z 2)) (* -13/2 z)))) (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) 1))
(exp (- (+ (* -1 (/ (+ 2197/8 (* -1 (pow z 3))) (- (+ 169/4 (pow z 2)) (* -13/2 z)))) (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) 1))
(exp (- (+ (* -1 (/ (+ 2197/8 (* -1 (pow z 3))) (- (+ 169/4 (pow z 2)) (* -13/2 z)))) (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) 1))
(exp (- (+ (* -1 (/ (+ 2197/8 (* -1 (pow z 3))) (- (+ 169/4 (pow z 2)) (* -13/2 z)))) (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) 1))
9999999999998099/10000000000000000
(- 9999999999998099/10000000000000000 (* 30223877537487/2500000000000 (/ 1 z)))
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(+ 9999999999998099/10000000000000000 (* -1 (/ (+ 30223877537487/2500000000000 (* -1 (/ (+ 585619739096309/2500000000000 (* 1219830531815489/5000000000000 (/ 1 z))) z))) z)))
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(+ (* -611458333333720910362579/25000000000000000000000 (/ (exp (- (+ (* -1 (/ (+ 2197/8 (* -1 (pow z 3))) (- (+ 169/4 (pow z 2)) (* -13/2 z)))) (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) 1)) z)) (* 9999999999998099/10000000000000000 (exp (- (+ (* -1 (/ (+ 2197/8 (* -1 (pow z 3))) (- (+ 169/4 (pow z 2)) (* -13/2 z)))) (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) 1))))
(+ (* -1 (/ (+ (* -1078390842009938509147167/6250000000000000000000 (/ (exp (- (+ (* -1 (/ (+ 2197/8 (* -1 (pow z 3))) (- (+ 169/4 (pow z 2)) (* -13/2 z)))) (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) 1)) z)) (* 611458333333720910362579/25000000000000000000000 (exp (- (+ (* -1 (/ (+ 2197/8 (* -1 (pow z 3))) (- (+ 169/4 (pow z 2)) (* -13/2 z)))) (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) 1)))) z)) (* 9999999999998099/10000000000000000 (exp (- (+ (* -1 (/ (+ 2197/8 (* -1 (pow z 3))) (- (+ 169/4 (pow z 2)) (* -13/2 z)))) (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) 1))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -398308844029173303716389/6250000000000000000000 (/ (exp (- (+ (* -1 (/ (+ 2197/8 (* -1 (pow z 3))) (- (+ 169/4 (pow z 2)) (* -13/2 z)))) (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) 1)) z)) (* 1078390842009938509147167/6250000000000000000000 (exp (- (+ (* -1 (/ (+ 2197/8 (* -1 (pow z 3))) (- (+ 169/4 (pow z 2)) (* -13/2 z)))) (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) 1)))) z)) (* 611458333333720910362579/25000000000000000000000 (exp (- (+ (* -1 (/ (+ 2197/8 (* -1 (pow z 3))) (- (+ 169/4 (pow z 2)) (* -13/2 z)))) (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) 1)))) z)) (* 9999999999998099/10000000000000000 (exp (- (+ (* -1 (/ (+ 2197/8 (* -1 (pow z 3))) (- (+ 169/4 (pow z 2)) (* -13/2 z)))) (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) 1))))
(/ (exp -15/2) z)
(/ (exp -15/2) z)
(/ (exp -15/2) z)
(/ (exp -15/2) z)
(* 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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(/ -7713234287776531/10000000000000 z)
(* -1 (/ (+ 7713234287776531/10000000000000 (* 23139702863329593/10000000000000 (/ 1 z))) z))
(* -1 (/ (+ 7713234287776531/10000000000000 (+ (* 23139702863329593/10000000000000 (/ 1 z)) (/ 69419108589988779/10000000000000 (pow z 2)))) z))
(* -1 (/ (+ 7713234287776531/10000000000000 (* -1 (/ (- (* -1 (/ (+ 69419108589988779/10000000000000 (* 208257325769966337/10000000000000 (/ 1 z))) z)) 23139702863329593/10000000000000) z))) z))
(/ (PI) (sin (* z (PI))))
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Outputs
(* 13/2 z)
(*.f64 z #s(literal 13/2 binary64))
(* z (+ 13/2 z))
(*.f64 (-.f64 z #s(literal -13/2 binary64)) z)
(* z (+ 13/2 z))
(*.f64 (-.f64 z #s(literal -13/2 binary64)) z)
(* z (+ 13/2 z))
(*.f64 (-.f64 z #s(literal -13/2 binary64)) z)
1/2
#s(literal 1/2 binary64)
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(+ 1/2 (* -1 z))
(-.f64 #s(literal 1/2 binary64) z)
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(-.f64 #s(literal 1/2 binary64) z)
-15/2
#s(literal -15/2 binary64)
(- z 15/2)
(-.f64 z #s(literal 15/2 binary64))
(- z 15/2)
(-.f64 z #s(literal 15/2 binary64))
(- z 15/2)
(-.f64 z #s(literal 15/2 binary64))
8
#s(literal 8 binary64)
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(-.f64 #s(literal 8 binary64) z)
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(-.f64 #s(literal 8 binary64) z)
(+ 8 (* -1 z))
(-.f64 #s(literal 8 binary64) z)
(* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) z) (sqrt (PI))))
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(/ (+ (* 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)
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(fma.f64 (.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 (.f64 (.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 (-.f64 z #s(literal 15/2 binary64)))) (sin.f64 (.f64 (PI.f64) z)))) (sqrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) (/.f64 (fma.f64 (.f64 #s(literal -1078390842009938509147167/6250000000000000000000 binary64) (sqrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))) (.f64 (/.f64 (.f64 (exp.f64 (-.f64 z #s(literal 15/2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (sin.f64 (.f64 (PI.f64) z))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) z)) (.f64 (.f64 (.f64 #s(literal 611458333333720910362579/25000000000000000000000 binary64) (sqrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))) (exp.f64 (-.f64 z #s(literal 15/2 binary64)))) (.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sin.f64 (*.f64 (PI.f64) z)))))) (neg.f64 z)))
(+ (* -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)))))))
(fma.f64 (.f64 (.f64 #s(literal 9999999999998099/10000000000000000 binary64) (sqrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))) (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)) (sin.f64 (.f64 (PI.f64) z)))) (/.f64 (fma.f64 (.f64 (.f64 (.f64 #s(literal 611458333333720910362579/25000000000000000000000 binary64) (sqrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))) (exp.f64 (-.f64 z #s(literal 15/2 binary64)))) (.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sin.f64 (.f64 (PI.f64) z))))) #s(literal -1 binary64) (/.f64 (fma.f64 (.f64 #s(literal -398308844029173303716389/6250000000000000000000 binary64) (sqrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))) (.f64 (/.f64 (.f64 (exp.f64 (-.f64 z #s(literal 15/2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (sin.f64 (.f64 (PI.f64) z))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) z)) (.f64 (.f64 (.f64 #s(literal 1078390842009938509147167/6250000000000000000000 binary64) (sqrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))) (exp.f64 (-.f64 z #s(literal 15/2 binary64)))) (.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sin.f64 (.f64 (PI.f64) z)))))) z)) z))

rewrite231.0ms (0.2%)

Memory

-0.3MiB live, 309.3MiB allocated

Rules

5 068×	`lower-*.f32`
5 030×	`lower-*.f64`
3 698×	`lower-/.f32`
3 676×	`lower-/.f64`
2 780×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	169	1001
0	261	852
1	1344	852
0	8297	852

Stop Event

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

Counts

27 → 225

Calls

Call 1

Inputs
(-.f64 (.f64 z z) (.f64 #s(literal -13/2 binary64) z))
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))
(fma.f64 (+.f64 #s(literal -2197/8 binary64) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 169/4 binary64) (-.f64 (.f64 z z) (.f64 #s(literal -13/2 binary64) z)))) #s(literal -1 binary64))
(-.f64 #s(literal 9 binary64) (-.f64 z #s(literal -1 binary64)))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (exp.f64 #s(literal -15/2 binary64)) z))))
(.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (exp.f64 #s(literal -15/2 binary64)) z)))
(*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))
(sqrt.f64 (PI.f64))
(.f64 (/.f64 (PI.f64) #s(approx (sin ( (PI) z)) (.f64 (fma.f64 (.f64 (.f64 z z) #s(literal -1/6 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64)) (PI.f64)) z))) #s(approx ( (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))) (.f64 (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (.f64 (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 #s(literal -15/2 binary64))))))
(/.f64 (PI.f64) #s(approx (sin (* (PI) z)) (.f64 (fma.f64 (.f64 (*.f64 z z) #s(literal -1/6 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64)) (PI.f64)) z)))
(PI.f64)
#s(approx (sin (* (PI) z)) (.f64 (fma.f64 (.f64 (*.f64 z z) #s(literal -1/6 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64)) (PI.f64)) z))
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))
(-.f64 #s(literal 7 binary64) (-.f64 z #s(literal -1 binary64)))
(-.f64 #s(literal 6 binary64) (-.f64 z #s(literal -1 binary64)))
(exp.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (log1p.f64 (-.f64 (neg.f64 z) #s(literal -13/2 binary64))) (fma.f64 (+.f64 #s(literal -2197/8 binary64) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 169/4 binary64) (-.f64 (.f64 z z) (.f64 #s(literal -13/2 binary64) z)))) #s(literal -1 binary64))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))
(+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 5 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64)))))
(.f64 (exp.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (log1p.f64 (-.f64 (neg.f64 z) #s(literal -13/2 binary64))) (fma.f64 (+.f64 #s(literal -2197/8 binary64) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 169/4 binary64) (-.f64 (.f64 z z) (*.f64 #s(literal -13/2 binary64) z)))) #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 9 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 7 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 6 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 5 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))))))))))
(/.f64 (exp.f64 #s(literal -15/2 binary64)) z)
#s(approx (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))) (.f64 (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (.f64 (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 #s(literal -15/2 binary64)))))
(pow.f64 (PI.f64) #s(literal 3 binary64))
(/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)))
#s(approx (/ (PI) (sin (* (PI) z))) (/.f64 #s(literal 1 binary64) z))
#s(approx (+ (/ -883075145810703/5000000000000 (- 5 (- z -1))) (+ (/ 7713234287776531/10000000000000 (- (- 1 z) -2)) (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 62898174544540606049/103680000000000000 binary64) z #s(literal 4708246094784852251/8640000000000000 binary64)) z #s(literal 314207804027640689/720000000000000 binary64)) z #s(literal 7827144361880981797/30000000000000000 binary64)))
(.f64 (.f64 (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 9 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 7 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 6 binary64) (-.f64 z #s(literal -1 binary64)))) #s(approx (+ (/ -883075145810703/5000000000000 (- 5 (- z -1))) (+ (/ 7713234287776531/10000000000000 (- (- 1 z) -2)) (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 62898174544540606049/103680000000000000 binary64) z #s(literal 4708246094784852251/8640000000000000 binary64)) z #s(literal 314207804027640689/720000000000000 binary64)) z #s(literal 7827144361880981797/30000000000000000 binary64))))))) (.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))))) (exp.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 9 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 7 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 6 binary64) (-.f64 z #s(literal -1 binary64)))) #s(approx (+ (/ -883075145810703/5000000000000 (- 5 (- z -1))) (+ (/ 7713234287776531/10000000000000 (- (- 1 z) -2)) (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 62898174544540606049/103680000000000000 binary64) z #s(literal 4708246094784852251/8640000000000000 binary64)) z #s(literal 314207804027640689/720000000000000 binary64)) z #s(literal 7827144361880981797/30000000000000000 binary64))))))) (.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))))) (exp.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z)))))

Outputs
(*.f64 z (-.f64 z #s(literal -13/2 binary64)))
(/.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal 13/2 binary64) z) #s(literal 3 binary64))) (+.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 (.f64 (.f64 #s(literal 13/2 binary64) z) (.f64 #s(literal 13/2 binary64) z)) (.f64 (.f64 z z) (*.f64 #s(literal 13/2 binary64) z)))))
(/.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (neg.f64 (.f64 #s(literal -13/2 binary64) z)) #s(literal 3 binary64))) (+.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 (.f64 (neg.f64 (.f64 #s(literal -13/2 binary64) z)) (neg.f64 (.f64 #s(literal -13/2 binary64) z))) (.f64 (.f64 z z) (neg.f64 (*.f64 #s(literal -13/2 binary64) z))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (.f64 #s(literal -13/2 binary64) z) #s(literal 2 binary64)))) (neg.f64 (fma.f64 z z (.f64 #s(literal -13/2 binary64) z))))
(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -2197/8 binary64)))) (neg.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) (+.f64 (pow.f64 (.f64 #s(literal -13/2 binary64) z) #s(literal 2 binary64)) (.f64 (.f64 z z) (*.f64 #s(literal -13/2 binary64) z))))))
(/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (.f64 #s(literal -13/2 binary64) z) #s(literal 2 binary64))) (fma.f64 z z (.f64 #s(literal -13/2 binary64) z)))
(/.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -2197/8 binary64))) (+.f64 (pow.f64 z #s(literal 4 binary64)) (+.f64 (pow.f64 (.f64 #s(literal -13/2 binary64) z) #s(literal 2 binary64)) (.f64 (.f64 z z) (*.f64 #s(literal -13/2 binary64) z)))))
(fma.f64 (neg.f64 z) (neg.f64 z) (*.f64 #s(literal 13/2 binary64) z))
(fma.f64 (neg.f64 z) (neg.f64 z) (neg.f64 (*.f64 #s(literal -13/2 binary64) z)))
(fma.f64 z z (*.f64 #s(literal 13/2 binary64) z))
(fma.f64 z z (neg.f64 (*.f64 #s(literal -13/2 binary64) z)))
(-.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z (.f64 #s(literal -13/2 binary64) z))) (/.f64 (pow.f64 (.f64 #s(literal -13/2 binary64) z) #s(literal 2 binary64)) (fma.f64 z z (*.f64 #s(literal -13/2 binary64) z))))
(-.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (+.f64 (pow.f64 z #s(literal 4 binary64)) (+.f64 (pow.f64 (.f64 #s(literal -13/2 binary64) z) #s(literal 2 binary64)) (.f64 (.f64 z z) (.f64 #s(literal -13/2 binary64) z))))) (/.f64 (.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -2197/8 binary64)) (+.f64 (pow.f64 z #s(literal 4 binary64)) (+.f64 (pow.f64 (.f64 #s(literal -13/2 binary64) z) #s(literal 2 binary64)) (.f64 (.f64 z z) (*.f64 #s(literal -13/2 binary64) z))))))
(-.f64 (.f64 z z) (.f64 #s(literal -13/2 binary64) z))
(+.f64 (.f64 z z) (.f64 #s(literal 13/2 binary64) z))
(+.f64 (.f64 z z) (neg.f64 (.f64 #s(literal -13/2 binary64) z)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 z #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 z #s(literal 1/2 binary64)) (+.f64 z #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) (+.f64 z #s(literal 1/2 binary64))))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))))))
(/.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))))))
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(/.f64 (.f64 (PI.f64) (.f64 (exp.f64 (+.f64 #s(literal -15/2 binary64) 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))) (sqrt.f64 (.f64 (PI.f64) #s(literal 2 binary64)))) (+.f64 (+.f64 (+.f64 (+.f64 #s(approx (+ (/ -883075145810703/5000000000000 (- 5 (- z -1))) (+ (/ 7713234287776531/10000000000000 (- (- 1 z) -2)) (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 62898174544540606049/103680000000000000 binary64) z #s(literal 4708246094784852251/8640000000000000 binary64)) z #s(literal 314207804027640689/720000000000000 binary64)) z #s(literal 7827144361880981797/30000000000000000 binary64))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 6 binary64) (-.f64 z #s(literal -1 binary64))))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 7 binary64) (-.f64 z #s(literal -1 binary64))))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 9 binary64) (-.f64 z #s(literal -1 binary64)))))))) (sin.f64 (.f64 (PI.f64) z)))

eval220.0ms (0.2%)

Memory: 13.4MiB live, 529.5MiB allocated
Compiler: Compiled 83 632 to 4 241 computations (94.9% saved)

prune288.0ms (0.2%)

Memory

8.8MiB live, 491.2MiB allocated

Pruning

41 alts after pruning (41 fresh and 0 done)

	Pruned	Kept	Total
New	998	23	1 021
Fresh	8	18	26
Picked	5	0	5
Done	0	0	0
Total	1 011	41	1 052

Accuracy

100.0%

Counts

1 052 → 41

Alt Table

Click to see full alt table

Status	Accuracy	Program
	95.9%	(/.f64 (.f64 (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)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 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 (PI.f64) z)))
	95.9%	(/.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)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 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 (PI.f64) z)) (PI.f64)))
	96.5%	(.f64 (/.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 9 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 7 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 6 binary64) (-.f64 z #s(literal -1 binary64)))) #s(approx (+ (/ -883075145810703/5000000000000 (- 5 (- z -1))) (+ (/ 7713234287776531/10000000000000 (- (- 1 z) -2)) (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 62898174544540606049/103680000000000000 binary64) z #s(literal 4708246094784852251/8640000000000000 binary64)) z #s(literal 314207804027640689/720000000000000 binary64)) z #s(literal 7827144361880981797/30000000000000000 binary64))))))) (.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))))) (exp.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z)))))
	95.1%	(.f64 (/.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (sin.f64 (.f64 (PI.f64) z))) #s(approx ( (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))) (.f64 (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (.f64 (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 #s(literal -15/2 binary64))))))
	96.9%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) z))) #s(approx ( (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))) (.f64 (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (.f64 (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 #s(literal -15/2 binary64))))))
	97.3%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(approx (+ (/ -883075145810703/5000000000000 (- 5 (- z -1))) (+ (/ 7713234287776531/10000000000000 (- (- 1 z) -2)) (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 62898174544540606049/103680000000000000 binary64) z #s(literal 4708246094784852251/8640000000000000 binary64)) z #s(literal 314207804027640689/720000000000000 binary64)) z #s(literal 7827144361880981797/30000000000000000 binary64))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 6 binary64) (-.f64 z #s(literal -1 binary64))))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 7 binary64) (-.f64 z #s(literal -1 binary64))))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 9 binary64) (-.f64 z #s(literal -1 binary64))))) (.f64 (.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (PI.f64) #s(literal 2 binary64)))) (exp.f64 (+.f64 #s(literal -15/2 binary64) z)))))
	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 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (-.f64 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 #s(approx (- (- 1 z) 1) (neg.f64 z)) #s(literal 8 binary64))))))
	97.4%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
	98.0%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 9 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 7 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 6 binary64) (-.f64 z #s(literal -1 binary64)))) #s(approx (+ (/ -883075145810703/5000000000000 (- 5 (- z -1))) (+ (/ 7713234287776531/10000000000000 (- (- 1 z) -2)) (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 62898174544540606049/103680000000000000 binary64) z #s(literal 4708246094784852251/8640000000000000 binary64)) z #s(literal 314207804027640689/720000000000000 binary64)) z #s(literal 7827144361880981797/30000000000000000 binary64))))))) (.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 (PI.f64)) (sqrt.f64 #s(literal 2 binary64))))) (exp.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z)))))
	97.3%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 9 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 7 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 6 binary64) (-.f64 z #s(literal -1 binary64)))) #s(approx (+ (/ -883075145810703/5000000000000 (- 5 (- z -1))) (+ (/ 7713234287776531/10000000000000 (- (- 1 z) -2)) (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 62898174544540606049/103680000000000000 binary64) z #s(literal 4708246094784852251/8640000000000000 binary64)) z #s(literal 314207804027640689/720000000000000 binary64)) z #s(literal 7827144361880981797/30000000000000000 binary64))))))) (.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) #s(approx (- (- 1 z) 1/2) (-.f64 #s(literal 1/2 binary64) z))) (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))))) (exp.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z)))))
	97.3%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) #s(approx (- 9 (- z -1)) #s(literal 8 binary64))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 7 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 6 binary64) (-.f64 z #s(literal -1 binary64)))) #s(approx (+ (/ -883075145810703/5000000000000 (- 5 (- z -1))) (+ (/ 7713234287776531/10000000000000 (- (- 1 z) -2)) (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 62898174544540606049/103680000000000000 binary64) z #s(literal 4708246094784852251/8640000000000000 binary64)) z #s(literal 314207804027640689/720000000000000 binary64)) z #s(literal 7827144361880981797/30000000000000000 binary64))))))) (.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))))) (exp.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z)))))
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	97.2%	(.f64 #s(approx (/ (PI) (sin ( (PI) z))) (/.f64 (fma.f64 (.f64 (.f64 (.f64 z z) #s(literal 1/6 binary64)) (PI.f64)) (PI.f64) #s(literal 1 binary64)) z)) (.f64 (.f64 (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 9 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 7 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 6 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 5 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))))))))) (.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))))) (exp.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z)))))
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	96.5%	#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (.f64 (.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (exp.f64 #s(literal -15/2 binary64)) z))))
	96.4%	#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 #s(literal 15 binary64))) (/.f64 (exp.f64 #s(literal -15/2 binary64)) z)))
	96.5%	#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 z (exp.f64 #s(literal -15/2 binary64)))))))
	96.5%	#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (exp.f64 #s(literal -15/2 binary64)) (pow.f64 z #s(literal -1 binary64))))))
	96.5%	#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (sqrt.f64 (PI.f64)) (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 (/.f64 (exp.f64 #s(literal -15/2 binary64)) z) (sqrt.f64 #s(literal 15 binary64))))))

Compiler

Compiled 8 858 to 2 299 computations (74% saved)

regimes76.0ms (0.1%)

Memory

-11.8MiB live, 97.7MiB allocated

Counts

86 → 1

Calls

Call 1

Inputs
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (sqrt.f64 (PI.f64)) (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 (/.f64 (exp.f64 #s(literal -15/2 binary64)) z) (sqrt.f64 #s(literal 15 binary64))))))
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#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 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))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (exp.f64 #s(literal -15/2 binary64)) z))))
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#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 z (exp.f64 #s(literal -15/2 binary64)))))))
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#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (.f64 (.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (exp.f64 #s(literal -15/2 binary64)) z))))
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#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (exp.f64 #s(literal -15/2 binary64)) (pow.f64 z #s(literal -1 binary64))))))
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(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 (fma.f64 (log.f64 (.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 1/2 binary64) (fma.f64 (log.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64))) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 (fma.f64 (log.f64 (.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 1/2 binary64) (fma.f64 (log.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64))) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (+.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) #s(literal 6765203681218851/10000000000000 binary64) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (/.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))) (exp.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (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))))))
(.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 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 343 binary64)) (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (-.f64 #s(literal 49 binary64) (*.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) #s(literal 7 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 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (*.f64 (exp.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (log1p.f64 (-.f64 (neg.f64 z) #s(literal -13/2 binary64))) (fma.f64 (+.f64 #s(literal -2197/8 binary64) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 169/4 binary64) (-.f64 (*.f64 z z) (*.f64 #s(literal -13/2 binary64) z)))) #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 9 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 7 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 6 binary64) (-.f64 z #s(literal -1 binary64)))) #s(approx (+ (/ -883075145810703/5000000000000 (- 5 (- z -1))) (+ (/ 7713234287776531/10000000000000 (- (- 1 z) -2)) (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))))) (fma.f64 (fma.f64 #s(literal 4708246094784852251/8640000000000000 binary64) z #s(literal 314207804027640689/720000000000000 binary64)) z #s(literal 7827144361880981797/30000000000000000 binary64))))))))))

Calls

2 calls:

26.0ms

(*.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))))))

24.0ms

Results

Accuracy	Segments	Branch
99.1%	1	`z`
99.1%	1	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))

Compiler

Compiled 124 to 61 computations (50.8% saved)

regimes58.0ms (0%)

Memory

-8.4MiB live, 75.0MiB allocated

Counts

76 → 1

Calls

Call 1

Inputs
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(.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 #s(literal 1 binary64) (-.f64 z #s(literal -1 binary64))) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (+.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
(.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 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (*.f64 (exp.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (log1p.f64 (-.f64 (neg.f64 z) #s(literal -13/2 binary64))) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z)))) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 9 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 7 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 6 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 5 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))))))))))))

Calls

2 calls:

24.0ms

23.0ms

(*.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
99.1%	1	`z`
99.1%	1	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))

Compiler

Compiled 124 to 61 computations (50.8% saved)

regimes50.0ms (0%)

Memory

9.4MiB live, 47.2MiB allocated

Counts

51 → 1

Calls

Call 1

Inputs
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (sqrt.f64 (PI.f64)) (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 (/.f64 (exp.f64 #s(literal -15/2 binary64)) z) (sqrt.f64 #s(literal 15 binary64))))))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 #s(literal 15 binary64))) (/.f64 (exp.f64 #s(literal -15/2 binary64)) z)))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 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))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (exp.f64 #s(literal -15/2 binary64)) z))))
(.f64 #s(approx (/ (PI) (sin ( (PI) z))) (/.f64 #s(literal 1 binary64) z)) #s(approx (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))) (.f64 (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (.f64 (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 #s(literal -15/2 binary64))))))
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(.f64 #s(approx (/ (PI) (sin ( (PI) z))) (/.f64 (fma.f64 (.f64 (.f64 (.f64 z z) #s(literal 1/6 binary64)) (PI.f64)) (PI.f64) #s(literal 1 binary64)) z)) (.f64 (.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))) (.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (-.f64 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 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) (sin.f64 (.f64 (PI.f64) z))) #s(approx (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))) (.f64 (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (.f64 (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 #s(literal -15/2 binary64))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 9 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 7 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 6 binary64) (-.f64 z #s(literal -1 binary64)))) #s(approx (+ (/ -883075145810703/5000000000000 (- 5 (- z -1))) (+ (/ 7713234287776531/10000000000000 (- (- 1 z) -2)) (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 62898174544540606049/103680000000000000 binary64) z #s(literal 4708246094784852251/8640000000000000 binary64)) z #s(literal 314207804027640689/720000000000000 binary64)) z #s(literal 7827144361880981797/30000000000000000 binary64))))))) (.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 (PI.f64)) (sqrt.f64 #s(literal 2 binary64))))) (exp.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z)))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))) (.f64 #s(approx (exp (+ ( (- (- 1 z) 1/2) (log (+ 1 (- (neg z) -13/2)))) (+ -1 (+ -13/2 z)))) (*.f64 (exp.f64 (-.f64 z #s(literal 15/2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 9 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 7 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 6 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 5 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))))))))))))
(.f64 (/.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 9 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 7 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 6 binary64) (-.f64 z #s(literal -1 binary64)))) #s(approx (+ (/ -883075145810703/5000000000000 (- 5 (- z -1))) (+ (/ 7713234287776531/10000000000000 (- (- 1 z) -2)) (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 62898174544540606049/103680000000000000 binary64) z #s(literal 4708246094784852251/8640000000000000 binary64)) z #s(literal 314207804027640689/720000000000000 binary64)) z #s(literal 7827144361880981797/30000000000000000 binary64))))))) (.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))))) (exp.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z)))))

Outputs

(*.f64 #s(approx (/ (PI) (sin (* (PI) z))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 z z) #s(literal 1/6 binary64)) (PI.f64)) (PI.f64) #s(literal 1 binary64)) z)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (*.f64 (exp.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (log1p.f64 (-.f64 (neg.f64 z) #s(literal -13/2 binary64))) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z)))) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 9 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 7 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 6 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 5 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))))))))))))

Calls

2 calls:

29.0ms

14.0ms

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

Results

Accuracy	Segments	Branch
98.8%	1	`z`
98.8%	1	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))

Compiler

Compiled 124 to 61 computations (50.8% saved)

regimes29.0ms (0%)

Memory

27.8MiB live, 63.0MiB allocated

Counts

35 → 1

Calls

Call 1

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

Outputs

(*.f64 #s(approx (/ (PI) (sin (* (PI) z))) (/.f64 #s(literal 1 binary64) z)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (*.f64 (exp.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (log1p.f64 (-.f64 (neg.f64 z) #s(literal -13/2 binary64))) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z)))) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 9 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 7 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 6 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 5 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))))))))))))

Calls

2 calls:

14.0ms

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

9.0ms

Results

Accuracy	Segments	Branch
98.6%	1	`z`
98.6%	1	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))

Compiler

Compiled 124 to 61 computations (50.8% saved)

regimes31.0ms (0%)

Memory

-6.6MiB live, 36.5MiB allocated

Counts

30 → 1

Calls

Call 1

Inputs
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (sqrt.f64 (PI.f64)) (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 (/.f64 (exp.f64 #s(literal -15/2 binary64)) z) (sqrt.f64 #s(literal 15 binary64))))))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 #s(literal 15 binary64))) (/.f64 (exp.f64 #s(literal -15/2 binary64)) z)))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 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))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (exp.f64 #s(literal -15/2 binary64)) z))))
(.f64 #s(approx (/ (PI) (sin ( (PI) z))) (/.f64 #s(literal 1 binary64) z)) #s(approx (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))) (.f64 (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (.f64 (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 #s(literal -15/2 binary64))))))
(.f64 (/.f64 (PI.f64) #s(approx (sin ( (PI) z)) (.f64 (PI.f64) z))) #s(approx ( (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))) (.f64 (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (.f64 (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 #s(literal -15/2 binary64))))))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 z (exp.f64 #s(literal -15/2 binary64)))))))
(.f64 #s(approx (/ (PI) (sin ( (PI) z))) (/.f64 (fma.f64 (.f64 (.f64 (.f64 z z) #s(literal 1/6 binary64)) (PI.f64)) (PI.f64) #s(literal 1 binary64)) z)) #s(approx ( (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))) (.f64 (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (.f64 (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 #s(literal -15/2 binary64))))))
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(.f64 #s(approx (/ (PI) (sin ( (PI) z))) (/.f64 #s(literal 1 binary64) z)) (.f64 (.f64 (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 9 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) #s(approx (- 7 (- z -1)) #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 6 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 5 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))))))))) (.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))))) (exp.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z)))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))) (.f64 #s(approx (exp (+ ( (- (- 1 z) 1/2) (log (+ 1 (- (neg z) -13/2)))) (+ -1 (+ -13/2 z)))) (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (exp.f64 #s(literal -15/2 binary64)))) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 9 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 7 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 6 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 5 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))))))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))) (.f64 #s(approx (exp (+ ( (- (- 1 z) 1/2) (log (+ 1 (- (neg z) -13/2)))) (+ (* (+ -2197/8 (pow z 3)) (/ 1 (+ 169/4 (- (* z z) (* -13/2 z))))) -1))) (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (exp.f64 #s(literal -15/2 binary64)))) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 9 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 7 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 6 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 5 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))))))))))))
(.f64 #s(approx (/ (PI) (sin ( (PI) z))) (/.f64 #s(literal 1 binary64) z)) (.f64 (.f64 (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 9 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 7 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 6 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 5 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))))))))) (.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) #s(approx (- (- 1 z) 1/2) (-.f64 #s(literal 1/2 binary64) z))) (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))))) (exp.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z)))))

Outputs

(*.f64 #s(approx (/ (PI) (sin (* (PI) z))) (/.f64 #s(literal 1 binary64) z)) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 9 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 7 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 6 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 5 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))))))))) (*.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) #s(approx (- (- 1 z) 1/2) (-.f64 #s(literal 1/2 binary64) z))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))))) (exp.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z)))))

Calls

2 calls:

9.0ms

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

8.0ms

Results

Accuracy	Segments	Branch
97.0%	1	`z`
97.0%	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 124 to 61 computations (50.8% saved)

regimes80.0ms (0.1%)

Memory

12.4MiB live, 46.9MiB allocated

Counts

29 → 1

Calls

Call 1

Inputs
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (sqrt.f64 (PI.f64)) (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 (/.f64 (exp.f64 #s(literal -15/2 binary64)) z) (sqrt.f64 #s(literal 15 binary64))))))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 #s(literal 15 binary64))) (/.f64 (exp.f64 #s(literal -15/2 binary64)) z)))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 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))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (exp.f64 #s(literal -15/2 binary64)) z))))
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(.f64 #s(approx (/ (PI) (sin ( (PI) z))) (/.f64 #s(literal 1 binary64) z)) (.f64 (.f64 (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 9 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 7 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 6 binary64) (-.f64 z #s(literal -1 binary64)))) #s(approx (+ (/ -883075145810703/5000000000000 (- 5 (- z -1))) (+ (/ 7713234287776531/10000000000000 (- (- 1 z) -2)) (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 62898174544540606049/103680000000000000 binary64) z #s(literal 4708246094784852251/8640000000000000 binary64)) z #s(literal 314207804027640689/720000000000000 binary64)) z #s(literal 7827144361880981797/30000000000000000 binary64))))))) (.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))))) (exp.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z)))))
(.f64 #s(approx (/ (PI) (sin ( (PI) z))) (/.f64 #s(literal 1 binary64) z)) (.f64 (.f64 (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 9 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 7 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 6 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 5 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 #s(approx (/ 7713234287776531/10000000000000 (- (- 1 z) -2)) (fma.f64 #s(literal 7713234287776531/90000000000000 binary64) z #s(literal 7713234287776531/30000000000000 binary64))) #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))))))))) (.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))))) (exp.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z)))))
(.f64 #s(approx (/ (PI) (sin ( (PI) z))) (/.f64 #s(literal 1 binary64) z)) (.f64 (.f64 (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 9 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) #s(approx (- (- 1 z) -6) #s(literal 7 binary64))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 7 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 6 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 5 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))))))))) (.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))))) (exp.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z)))))
(.f64 #s(approx (/ (PI) (sin ( (PI) z))) (/.f64 #s(literal 1 binary64) z)) (.f64 (.f64 (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 9 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) #s(approx (- 7 (- z -1)) #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 6 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 5 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))))))))) (.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))))) (exp.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z)))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))) (.f64 #s(approx (exp (+ ( (- (- 1 z) 1/2) (log (+ 1 (- (neg z) -13/2)))) (+ -1 (+ -13/2 z)))) (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (exp.f64 #s(literal -15/2 binary64)))) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 9 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 7 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 6 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 5 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))))))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))) (.f64 #s(approx (exp (+ ( (- (- 1 z) 1/2) (log (+ 1 (- (neg z) -13/2)))) (+ (* (+ -2197/8 (pow z 3)) (/ 1 (+ 169/4 (- (* z z) (* -13/2 z))))) -1))) (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (exp.f64 #s(literal -15/2 binary64)))) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 9 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 7 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 6 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 5 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))))))))))))

Outputs

(*.f64 #s(approx (/ (PI) (sin (* (PI) z))) (/.f64 #s(literal 1 binary64) z)) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 9 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) #s(approx (- (- 1 z) -6) #s(literal 7 binary64))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 7 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 6 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 5 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))))))))) (*.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))))) (exp.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z)))))

Calls

2 calls:

67.0ms

9.0ms

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

Results

Accuracy	Segments	Branch
97.0%	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))))))
97.0%	1	`z`

Compiler

Compiled 124 to 61 computations (50.8% saved)

regimes56.0ms (0%)

Memory

-0.8MiB live, 37.2MiB allocated

Counts

25 → 1

Calls

Call 1

Inputs
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (sqrt.f64 (PI.f64)) (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 (/.f64 (exp.f64 #s(literal -15/2 binary64)) z) (sqrt.f64 #s(literal 15 binary64))))))
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(.f64 #s(approx (/ (PI) (sin ( (PI) z))) (/.f64 #s(literal 1 binary64) z)) (.f64 (.f64 (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 9 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 7 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 6 binary64) (-.f64 z #s(literal -1 binary64)))) #s(approx (+ (/ -883075145810703/5000000000000 (- 5 (- z -1))) (+ (/ 7713234287776531/10000000000000 (- (- 1 z) -2)) (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))))) (fma.f64 #s(literal 314207804027640689/720000000000000 binary64) z #s(literal 7827144361880981797/30000000000000000 binary64))))))) (.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))))) (exp.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z)))))
(.f64 #s(approx (/ (PI) (sin ( (PI) z))) (/.f64 #s(literal 1 binary64) z)) (.f64 (.f64 (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 9 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 7 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 6 binary64) (-.f64 z #s(literal -1 binary64)))) #s(approx (+ (/ -883075145810703/5000000000000 (- 5 (- z -1))) (+ (/ 7713234287776531/10000000000000 (- (- 1 z) -2)) (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))))) (fma.f64 (fma.f64 #s(literal 4708246094784852251/8640000000000000 binary64) z #s(literal 314207804027640689/720000000000000 binary64)) z #s(literal 7827144361880981797/30000000000000000 binary64))))))) (.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))))) (exp.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z)))))
(.f64 #s(approx (/ (PI) (sin ( (PI) z))) (/.f64 #s(literal 1 binary64) z)) (.f64 (.f64 (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 9 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 7 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 6 binary64) (-.f64 z #s(literal -1 binary64)))) #s(approx (+ (/ -883075145810703/5000000000000 (- 5 (- z -1))) (+ (/ 7713234287776531/10000000000000 (- (- 1 z) -2)) (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 62898174544540606049/103680000000000000 binary64) z #s(literal 4708246094784852251/8640000000000000 binary64)) z #s(literal 314207804027640689/720000000000000 binary64)) z #s(literal 7827144361880981797/30000000000000000 binary64))))))) (.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))))) (exp.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z)))))
(.f64 #s(approx (/ (PI) (sin ( (PI) z))) (/.f64 #s(literal 1 binary64) z)) (.f64 (.f64 (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 9 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 7 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 6 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 5 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 #s(approx (/ 7713234287776531/10000000000000 (- (- 1 z) -2)) (fma.f64 #s(literal 7713234287776531/90000000000000 binary64) z #s(literal 7713234287776531/30000000000000 binary64))) #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))))))))) (.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))))) (exp.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z)))))

Outputs

(*.f64 #s(approx (/ (PI) (sin (* (PI) z))) (/.f64 #s(literal 1 binary64) z)) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 9 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 7 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 6 binary64) (-.f64 z #s(literal -1 binary64)))) #s(approx (+ (/ -883075145810703/5000000000000 (- 5 (- z -1))) (+ (/ 7713234287776531/10000000000000 (- (- 1 z) -2)) (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 62898174544540606049/103680000000000000 binary64) z #s(literal 4708246094784852251/8640000000000000 binary64)) z #s(literal 314207804027640689/720000000000000 binary64)) z #s(literal 7827144361880981797/30000000000000000 binary64))))))) (*.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))))) (exp.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z)))))

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))))))

7.0ms

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 124 to 61 computations (50.8% saved)

regimes45.0ms (0%)

Memory

-4.0MiB live, 33.7MiB allocated

Counts

23 → 1

Calls

Call 1

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

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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))))))

7.0ms

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 124 to 61 computations (50.8% saved)

regimes60.0ms (0%)

Memory

-14.2MiB live, 33.2MiB allocated

Counts

22 → 1

Calls

Call 1

Inputs
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (sqrt.f64 (PI.f64)) (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 (/.f64 (exp.f64 #s(literal -15/2 binary64)) z) (sqrt.f64 #s(literal 15 binary64))))))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 #s(literal 15 binary64))) (/.f64 (exp.f64 #s(literal -15/2 binary64)) z)))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 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))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (exp.f64 #s(literal -15/2 binary64)) z))))
(.f64 #s(approx (/ (PI) (sin ( (PI) z))) (/.f64 #s(literal 1 binary64) z)) #s(approx (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))) (.f64 (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (.f64 (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 #s(literal -15/2 binary64))))))
(.f64 (/.f64 (PI.f64) #s(approx (sin ( (PI) z)) (.f64 (PI.f64) z))) #s(approx ( (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))) (.f64 (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (.f64 (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 #s(literal -15/2 binary64))))))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 z (exp.f64 #s(literal -15/2 binary64)))))))
(.f64 #s(approx (/ (PI) (sin ( (PI) z))) (/.f64 (fma.f64 (.f64 (.f64 (.f64 z z) #s(literal 1/6 binary64)) (PI.f64)) (PI.f64) #s(literal 1 binary64)) z)) #s(approx ( (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))) (.f64 (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (.f64 (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 #s(literal -15/2 binary64))))))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (.f64 (.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (exp.f64 #s(literal -15/2 binary64)) z))))
(.f64 (/.f64 (PI.f64) #s(approx (sin ( (PI) z)) (.f64 (fma.f64 (.f64 (.f64 z z) #s(literal -1/6 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) (PI.f64)) z))) #s(approx ( (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))) (.f64 (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (.f64 (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 #s(literal -15/2 binary64))))))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (exp.f64 #s(literal -15/2 binary64)) (pow.f64 z #s(literal -1 binary64))))))
(/.f64 (.f64 (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)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 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 (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)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 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 (PI.f64) z)) (PI.f64)))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) #s(approx (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))) (.f64 (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (.f64 (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 #s(literal -15/2 binary64))))))
(.f64 (.f64 (neg.f64 (PI.f64)) (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 (.f64 (PI.f64) z))))) #s(approx ( (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))) (.f64 (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (.f64 (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 #s(literal -15/2 binary64))))))
(.f64 (/.f64 (PI.f64) #s(approx (sin ( (PI) z)) (.f64 (fma.f64 (.f64 (.f64 z z) #s(literal -1/6 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64)) (PI.f64)) z))) #s(approx ( (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))) (.f64 (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (.f64 (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 #s(literal -15/2 binary64))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) z))) #s(approx ( (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))) (.f64 (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (.f64 (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 #s(literal -15/2 binary64))))))
(.f64 (/.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (sin.f64 (.f64 (PI.f64) z))) #s(approx ( (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))) (.f64 (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (.f64 (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 #s(literal -15/2 binary64))))))
(.f64 #s(approx (/ (PI) (sin ( (PI) z))) (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) (PI.f64)) (PI.f64) (.f64 (.f64 #s(literal 7/360 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))) (.f64 z z))) (.f64 z z) #s(literal 1 binary64)) z)) #s(approx ( (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))) (.f64 (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (.f64 (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 #s(literal -15/2 binary64))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) #s(approx (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))) (.f64 (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64))))) (.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 #s(literal -15/2 binary64))))))
(.f64 (/.f64 (PI.f64) #s(approx (sin ( (PI) z)) (.f64 (fma.f64 (.f64 (.f64 z z) #s(literal -1/6 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64)) (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) z))) #s(approx (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))) (.f64 (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (.f64 (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 #s(literal -15/2 binary64))))))
(.f64 #s(approx (/ (PI) (sin ( (PI) z))) (/.f64 #s(literal 1 binary64) z)) (.f64 (.f64 (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 9 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 7 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 6 binary64) (-.f64 z #s(literal -1 binary64)))) #s(approx (+ (/ -883075145810703/5000000000000 (- 5 (- z -1))) (+ (/ 7713234287776531/10000000000000 (- (- 1 z) -2)) (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))))) (fma.f64 #s(literal 314207804027640689/720000000000000 binary64) z #s(literal 7827144361880981797/30000000000000000 binary64))))))) (.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))))) (exp.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z)))))

Outputs

(*.f64 #s(approx (/ (PI) (sin (* (PI) z))) (/.f64 #s(literal 1 binary64) z)) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 9 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 7 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 6 binary64) (-.f64 z #s(literal -1 binary64)))) #s(approx (+ (/ -883075145810703/5000000000000 (- 5 (- z -1))) (+ (/ 7713234287776531/10000000000000 (- (- 1 z) -2)) (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))))) (fma.f64 #s(literal 314207804027640689/720000000000000 binary64) z #s(literal 7827144361880981797/30000000000000000 binary64))))))) (*.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))))) (exp.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z)))))

Calls

2 calls:

49.0ms

7.0ms

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

Results

Accuracy	Segments	Branch
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 124 to 61 computations (50.8% saved)

regimes48.0ms (0%)

Memory

-5.7MiB live, 32.3MiB allocated

Counts

21 → 1

Calls

Call 1

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

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

Calls

2 calls:

39.0ms

(*.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
96.9%	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 124 to 61 computations (50.8% saved)

regimes32.0ms (0%)

Memory

-11.6MiB live, 26.4MiB allocated

Counts

16 → 1

Calls

Call 1

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

Outputs

#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 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:

6.0ms

(*.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))))))

5.0ms

Results

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

Compiler

Compiled 124 to 61 computations (50.8% saved)

regimes5.0ms (0%)

Memory

10.7MiB live, 10.7MiB allocated

Accuracy

Total -0.2b remaining (-10.3%)

Threshold costs -0.2b (-10.3%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

Outputs

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

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

Compiler

Compiled 124 to 61 computations (50.8% saved)

simplify76.0ms (0.1%)

Memory

-14.2MiB live, 73.0MiB allocated

Algorithm

1×	egg-herbie

Rules

96×	`-commutative-binary64-.f64`
92×	`+-commutative-binary64-+.f64`
44×	`sub-neg-binary64-neg.f64-+.f64--.f64`
20×	`neg-sub0-binary64--.f64-neg.f64`
20×	`neg-mul-1-binary64-*.f64-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	220	1437
1	311	1437
2	347	1437
3	370	1437
4	380	1437
5	381	1437

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))) (.f64 (exp.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (log1p.f64 (-.f64 (neg.f64 z) #s(literal -13/2 binary64))) (fma.f64 (+.f64 #s(literal -2197/8 binary64) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 169/4 binary64) (-.f64 (.f64 z z) (*.f64 #s(literal -13/2 binary64) z)))) #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 9 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 7 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 6 binary64) (-.f64 z #s(literal -1 binary64)))) #s(approx (+ (/ -883075145810703/5000000000000 (- 5 (- z -1))) (+ (/ 7713234287776531/10000000000000 (- (- 1 z) -2)) (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))))) (fma.f64 (fma.f64 #s(literal 4708246094784852251/8640000000000000 binary64) z #s(literal 314207804027640689/720000000000000 binary64)) z #s(literal 7827144361880981797/30000000000000000 binary64))))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))) (*.f64 (exp.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (log1p.f64 (-.f64 (neg.f64 z) #s(literal -13/2 binary64))) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z)))) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 9 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 7 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 6 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 5 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))))))))))))
(.f64 #s(approx (/ (PI) (sin ( (PI) z))) (/.f64 (fma.f64 (.f64 (.f64 (.f64 z z) #s(literal 1/6 binary64)) (PI.f64)) (PI.f64) #s(literal 1 binary64)) z)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))) (.f64 (exp.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (log1p.f64 (-.f64 (neg.f64 z) #s(literal -13/2 binary64))) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z)))) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 9 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 7 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 6 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 5 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))))))))))))
(.f64 #s(approx (/ (PI) (sin ( (PI) z))) (/.f64 #s(literal 1 binary64) z)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))) (*.f64 (exp.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (log1p.f64 (-.f64 (neg.f64 z) #s(literal -13/2 binary64))) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z)))) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 9 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 7 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 6 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 5 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))))))))))))
(.f64 #s(approx (/ (PI) (sin ( (PI) z))) (/.f64 #s(literal 1 binary64) z)) (.f64 (.f64 (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 9 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 7 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 6 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 5 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))))))))) (.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) #s(approx (- (- 1 z) 1/2) (-.f64 #s(literal 1/2 binary64) z))) (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))))) (exp.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z)))))
(.f64 #s(approx (/ (PI) (sin ( (PI) z))) (/.f64 #s(literal 1 binary64) z)) (.f64 (.f64 (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 9 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) #s(approx (- (- 1 z) -6) #s(literal 7 binary64))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 7 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 6 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 5 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))))))))) (.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))))) (exp.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z)))))
(.f64 #s(approx (/ (PI) (sin ( (PI) z))) (/.f64 #s(literal 1 binary64) z)) (.f64 (.f64 (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 9 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 7 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 6 binary64) (-.f64 z #s(literal -1 binary64)))) #s(approx (+ (/ -883075145810703/5000000000000 (- 5 (- z -1))) (+ (/ 7713234287776531/10000000000000 (- (- 1 z) -2)) (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 62898174544540606049/103680000000000000 binary64) z #s(literal 4708246094784852251/8640000000000000 binary64)) z #s(literal 314207804027640689/720000000000000 binary64)) z #s(literal 7827144361880981797/30000000000000000 binary64))))))) (.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))))) (exp.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z)))))
(.f64 #s(approx (/ (PI) (sin ( (PI) z))) (/.f64 #s(literal 1 binary64) z)) (.f64 (.f64 (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 9 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 7 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 6 binary64) (-.f64 z #s(literal -1 binary64)))) #s(approx (+ (/ -883075145810703/5000000000000 (- 5 (- z -1))) (+ (/ 7713234287776531/10000000000000 (- (- 1 z) -2)) (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))))) (fma.f64 (fma.f64 #s(literal 4708246094784852251/8640000000000000 binary64) z #s(literal 314207804027640689/720000000000000 binary64)) z #s(literal 7827144361880981797/30000000000000000 binary64))))))) (.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))))) (exp.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z)))))
(.f64 #s(approx (/ (PI) (sin ( (PI) z))) (/.f64 #s(literal 1 binary64) z)) (.f64 (.f64 (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 9 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 7 binary64) (-.f64 z #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 6 binary64) (-.f64 z #s(literal -1 binary64)))) #s(approx (+ (/ -883075145810703/5000000000000 (- 5 (- z -1))) (+ (/ 7713234287776531/10000000000000 (- (- 1 z) -2)) (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))))) (fma.f64 #s(literal 314207804027640689/720000000000000 binary64) z #s(literal 7827144361880981797/30000000000000000 binary64))))))) (.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))))) (exp.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z)))))
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#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 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))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (sqrt.f64 (PI.f64)) (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 (/.f64 (exp.f64 #s(literal -15/2 binary64)) z) (sqrt.f64 #s(literal 15 binary64))))))

Outputs
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(.f64 (.f64 (.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(approx (+ (/ -883075145810703/5000000000000 (- 5 (- z -1))) (+ (/ 7713234287776531/10000000000000 (- (- 1 z) -2)) (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))))) (fma.f64 (fma.f64 #s(literal 4708246094784852251/8640000000000000 binary64) z #s(literal 314207804027640689/720000000000000 binary64)) z #s(literal 7827144361880981797/30000000000000000 binary64))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 6 binary64) (-.f64 z #s(literal -1 binary64))))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 7 binary64) (-.f64 z #s(literal -1 binary64))))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 9 binary64) (-.f64 z #s(literal -1 binary64))))) (exp.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (log1p.f64 (-.f64 (neg.f64 z) #s(literal -13/2 binary64))) (fma.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -2197/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (.f64 z z) (.f64 #s(literal -13/2 binary64) z)) #s(literal 169/4 binary64))) #s(literal -1 binary64))))) (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64)))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))
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(.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)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 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 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))))) (/.f64 (PI.f64) (sin.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) z))))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 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))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (.f64 (sqrt.f64 #s(literal 15 binary64)) (/.f64 (exp.f64 #s(literal -15/2 binary64)) z)) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64)))))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (sqrt.f64 (PI.f64)) (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 (/.f64 (exp.f64 #s(literal -15/2 binary64)) z) (sqrt.f64 #s(literal 15 binary64))))))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 15 binary64)) (/.f64 (exp.f64 #s(literal -15/2 binary64)) z)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (sqrt.f64 (PI.f64))))

soundness1.7s (1.2%)

Memory

22.5MiB live, 1 023.4MiB allocated

Rules

20 028×	`lower-fma.f64`
20 028×	`lower-fma.f32`
9 516×	`lower-fma.f64`
9 516×	`lower-fma.f32`
7 956×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	590	5643
1	1848	5386
2	6506	5298
0	8412	5067
0	111	392
0	182	322
1	780	293
2	7159	293
0	8104	289
0	148	733
1	456	692
2	1417	648
3	5091	647
0	8072	626
0	301	3332
1	980	3160
2	3547	2859
0	8609	2740
0	559	8077
1	1741	7753
2	6099	7624
0	8282	7263
0	139	764
0	214	664
1	1167	647
0	8366	647
0	169	1001
0	261	852
1	1344	852
0	8297	852

Stop Event

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

Compiler

Compiled 3 476 to 1 786 computations (48.6% saved)

preprocess181.0ms (0.1%)

Memory: 3.6MiB live, 237.2MiB allocated
Compiler: Compiled 1 786 to 450 computations (74.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze890.0ms (0.6%)

sample8.1s (5.6%)

explain1.2s (0.9%)

preprocess172.0ms (0.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify135.0ms (0.1%)

localize307.0ms (0.2%)

series10.0ms (0%)

simplify152.0ms (0.1%)

rewrite211.0ms (0.1%)

eval396.0ms (0.3%)

prune266.0ms (0.2%)

simplify155.0ms (0.1%)

localize1.9min (80.1%)

series35.0ms (0%)

simplify436.0ms (0.3%)

rewrite365.0ms (0.3%)

eval2.1s (1.4%)

prune1.3s (0.9%)

simplify203.0ms (0.1%)

localize1.4s (1%)

series135.0ms (0.1%)

simplify213.0ms (0.1%)

rewrite225.0ms (0.2%)

eval458.0ms (0.3%)

prune394.0ms (0.3%)

simplify183.0ms (0.1%)

localize5.1s (3.6%)

series180.0ms (0.1%)

simplify410.0ms (0.3%)

rewrite231.0ms (0.2%)

eval220.0ms (0.2%)

prune288.0ms (0.2%)

regimes76.0ms (0.1%)

regimes58.0ms (0%)

regimes50.0ms (0%)

regimes29.0ms (0%)

regimes31.0ms (0%)

regimes80.0ms (0.1%)

regimes56.0ms (0%)

regimes45.0ms (0%)

regimes60.0ms (0%)

regimes48.0ms (0%)

regimes32.0ms (0%)

regimes5.0ms (0%)

simplify76.0ms (0.1%)

soundness1.7s (1.2%)

preprocess181.0ms (0.1%)

end0.0ms (0%)

Profiling