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

start0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

analyze960.0ms (3.8%)

Memory

1.1MiB live, 1 062.7MiB allocated; 474ms collecting garbage

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)

sample11.0s (43.2%)

Memory

54.5MiB live, 10 452.2MiB allocated; 3.2s collecting garbage

Samples

7.0s	8 256×	valid
2.2s	4 027×	invalid
84.0ms	107×	exit

Precisions

Click to see histograms. Total time spent on operations: 8.7s

ival-add: 3.9s (44.4% of total)

const: 1.9s (21.6% of total)

ival-div: 915.0ms (10.5% of total)

ival-mult: 495.0ms (5.7% of total)

ival-pow: 432.0ms (4.9% of total)

ival-sinu: 340.0ms (3.9% of total)

ival-sub: 177.0ms (2% of total)

ival-exp: 155.0ms (1.8% of total)

ival-pi: 116.0ms (1.3% of total)

ival-<=: 97.0ms (1.1% of total)

ival-sqrt: 87.0ms (1% of total)

ival-neg: 74.0ms (0.8% of total)

exact: 64.0ms (0.7% of total)

ival-assert: 7.0ms (0.1% of total)

adjust: 5.0ms (0.1% of total)

Bogosity

explain1.4s (5.6%)

Memory

-12.3MiB live, 2 200.6MiB allocated; 396ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
253	-	-	`(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))`
1	-	-	`(sin.f64 (*.f64 (PI.f64) z))`
1	-	-	`(.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	23	1
`*.f64`	`(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)))))`	*ou**	1	0
↳	`(.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64))))`	overflow	1
↳	`(pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))`	overflow	1
↳	`(exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))`	underflow	1
`sin.f64`	`(sin.f64 (*.f64 (PI.f64) z))`	sensitivity	1	0

Confusion

	Predicted +	Predicted -
+	1	0
-	23	232

Precision

0.041666666666666664

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	23	1	231

Precision?

0.04

Recall?

1.0

Freqs

test

number	freq
0	232
1	23
2	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

412.0ms	338×	1	valid
276.0ms	160×	2	valid
11.0ms	14×	0	valid

Compiler

Compiled 1 913 to 184 computations (90.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 604.0ms

adjust: 194.0ms (32.1% of total)

const: 98.0ms (16.2% of total)

ival-add: 93.0ms (15.4% of total)

ival-div: 71.0ms (11.8% of total)

ival-pow: 46.0ms (7.6% of total)

ival-mult: 36.0ms (6% of total)

ival-sub: 27.0ms (4.5% of total)

ival-exp: 18.0ms (3% of total)

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

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

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

exact: 3.0ms (0.5% of total)

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

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

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

preprocess177.0ms (0.7%)

Memory

38.9MiB live, 171.8MiB allocated; 32ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	62	227
1	165	215
2	622	179
3	5111	179
0	60	123
0	101	101
1	198	95
2	601	78
3	4364	78
0	8225	78

Stop Event

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

Calls

Call 1

Inputs

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

Outputs

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

(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)) (+.f64 (/.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 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))))))))) (PI.f64)) (/.f64 (/.f64 (*.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) (-.f64 #s(literal 1/2 binary64) z)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))) (exp.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)))) (sin.f64 (*.f64 z (PI.f64)))))

Compiler

Compiled 123 to 60 computations (51.2% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.9%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) #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

▶

96.9%

(*.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)

simplify158.0ms (0.6%)

Memory

1.2MiB live, 143.9MiB allocated; 20ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	60	893
0	101	721
1	198	677
2	601	548
3	4364	548
0	8225	548

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 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))
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(/.f64 #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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#s(literal 8 binary64)

Outputs
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(+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)) (+.f64 (/.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 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)))))))))
(+.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 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)) (+.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 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 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 #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 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)) (/.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 #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 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)) (/.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 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)))))
(+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64))))
(+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (+.f64 (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))))
(+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64))))
(+.f64 (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)))
(+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64))))
(+.f64 (/.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)

localize397.0ms (1.6%)

Memory

-11.5MiB live, 504.9MiB allocated; 78ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	1.0	(sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))
accuracy	1.17578125	(.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	2.774003738453599	(+.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	58.33204823661628	(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))

Samples

216.0ms	169×	1	valid
120.0ms	80×	2	valid
3.0ms	7×	0	valid

Compiler

Compiled 895 to 62 computations (93.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 280.0ms

adjust: 75.0ms (26.8% of total)

ival-add: 64.0ms (22.8% of total)

const: 62.0ms (22.1% of total)

ival-div: 28.0ms (10% of total)

ival-mult: 17.0ms (6.1% of total)

ival-pow: 12.0ms (4.3% of total)

ival-exp: 6.0ms (2.1% of total)

ival-sub: 6.0ms (2.1% of total)

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

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

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

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

exact: 1.0ms (0.4% of total)

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

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

series8.0ms (0%)

Memory

9.1MiB live, 9.1MiB allocated; 0ms collecting garbage

Counts

7 → 28

Calls

Call 1

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

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	z	@	inf	((+ (- (- 1 z) 1) 7) (- (- 1 z) 1) (+ (- (- 1 z) 1) 1/2) (+ (- (- 1 z) 1) 1) (+ (+ 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) 7) (- (- 1 z) 1) (+ (- (- 1 z) 1) 1/2) (+ (- (- 1 z) 1) 1) (+ (+ 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) 7) (- (- 1 z) 1) (+ (- (- 1 z) 1) 1/2) (+ (- (- 1 z) 1) 1) (+ (+ 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) 7) (- (- 1 z) 1) (+ (- (- 1 z) 1) 1/2) (+ (- (- 1 z) 1) 1) (+ (+ 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) 7) (- (- 1 z) 1) (+ (- (- 1 z) 1) 1/2) (+ (- (- 1 z) 1) 1) (+ (+ 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) 7) (- (- 1 z) 1) (+ (- (- 1 z) 1) 1/2) (+ (- (- 1 z) 1) 1) (+ (+ 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)))

simplify168.0ms (0.7%)

Memory

-6.4MiB live, 174.9MiB allocated; 35ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	148	479
1	510	434
2	2051	399
0	8159	376

Stop Event

1×	iter limit
1×	node limit

Counts

28 → 28

Calls

Call 1

Inputs
7
(+ 7 (* -1 z))
(* -1 z)
1/2
(+ 1/2 (* -1 z))
1
(+ 1 (* -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)))))
(* z (- (* 7 (/ 1 z)) 1))
(* z (- (* 1/2 (/ 1 z)) 1))
(* z (- (/ 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))))
(* -1 (* z (- 1 (* 7 (/ 1 z)))))
(* -1 (* z (- 1 (* 1/2 (/ 1 z)))))
(* -1 (* z (- 1 (/ 1 z))))
(+ 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))))

Outputs
7
#s(literal 7 binary64)
(+ 7 (* -1 z))
(-.f64 #s(literal 7 binary64) z)
(* -1 z)
(neg.f64 z)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1 z))
(-.f64 #s(literal 1/2 binary64) z)
1
#s(literal 1 binary64)
(+ 1 (* -1 z))
(-.f64 #s(literal 1 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 (sqrt.f64 (PI.f64)) (.f64 (exp.f64 #s(literal -15/2 binary64)) (fma.f64 (.f64 (+.f64 (-.f64 (neg.f64 (log.f64 #s(literal 15/2 binary64))) #s(literal 1/15 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))))))
(+ (* 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 (neg.f64 (log.f64 #s(literal 15/2 binary64))) #s(literal 1/15 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)) (+.f64 (fma.f64 (pow.f64 (-.f64 (neg.f64 (log.f64 #s(literal 15/2 binary64))) #s(literal 1/15 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 29/225 binary64)) (-.f64 (neg.f64 (log.f64 #s(literal 15/2 binary64))) #s(literal 1/15 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 z z) (.f64 (sqrt.f64 (PI.f64)) (fma.f64 (fma.f64 (.f64 (.f64 #s(literal 1/6 binary64) (exp.f64 #s(literal -15/2 binary64))) (sqrt.f64 #s(literal 15/2 binary64))) (sqrt.f64 #s(literal 2 binary64)) (.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 (pow.f64 (-.f64 (neg.f64 (log.f64 #s(literal 15/2 binary64))) #s(literal 1/15 binary64)) #s(literal 3 binary64)) #s(literal 1/6 binary64) (fma.f64 #s(literal 29/225 binary64) (-.f64 (neg.f64 (log.f64 #s(literal 15/2 binary64))) #s(literal 1/15 binary64)) #s(literal 86/10125 binary64))) (fma.f64 (pow.f64 (-.f64 (neg.f64 (log.f64 #s(literal 15/2 binary64))) #s(literal 1/15 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 29/225 binary64))) (.f64 (.f64 (-.f64 (neg.f64 (log.f64 #s(literal 15/2 binary64))) #s(literal 1/15 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) #s(literal 1/2 binary64))))) z (.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 (pow.f64 (-.f64 (neg.f64 (log.f64 #s(literal 15/2 binary64))) #s(literal 1/15 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 29/225 binary64)) (-.f64 (neg.f64 (log.f64 #s(literal 15/2 binary64))) #s(literal 1/15 binary64))) (.f64 (sqrt.f64 #s(literal 15/2 binary64)) #s(literal 1/2 binary64)))))) (.f64 (sqrt.f64 (PI.f64)) (.f64 (exp.f64 #s(literal -15/2 binary64)) (fma.f64 (.f64 (+.f64 (-.f64 (neg.f64 (log.f64 #s(literal 15/2 binary64))) #s(literal 1/15 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)))))))
(* z (- (* 7 (/ 1 z)) 1))
(*.f64 (-.f64 (/.f64 #s(literal 7 binary64) z) #s(literal 1 binary64)) z)
(* z (- (* 1/2 (/ 1 z)) 1))
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z)
(* z (- (/ 1 z) 1))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 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 (/.f64 #s(literal 3683516130645841/2000000000000 binary64) z) #s(literal 5826188486005177/10000000000000 binary64)) z) #s(literal 9999999999998099/10000000000000000 binary64))
(+ 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 (/.f64 #s(literal 3683516130645841/2000000000000 binary64) z) #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 (PI.f64))) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 (-.f64 z #s(literal 15/2 binary64))))
(* -1 (* z (- 1 (* 7 (/ 1 z)))))
(neg.f64 (fma.f64 (/.f64 #s(literal -7 binary64) z) z z))
(* -1 (* z (- 1 (* 1/2 (/ 1 z)))))
(neg.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) z) z z))
(* -1 (* z (- 1 (/ 1 z))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) (neg.f64 z))
(+ 9999999999998099/10000000000000000 (* -1 (/ (- (* -1 (/ (+ 3683516130645841/2000000000000 (* 43600364987677261/10000000000000 (/ 1 z))) z)) 5826188486005177/10000000000000) z)))
(-.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 43600364987677261/10000000000000 binary64) z) #s(literal 3683516130645841/2000000000000 binary64)) z) #s(literal -1 binary64) #s(literal -5826188486005177/10000000000000 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 #s(literal -15/2 binary64) z)) (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)))

rewrite202.0ms (0.8%)

Memory

6.5MiB live, 234.0MiB allocated; 40ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	85
0	46	69
1	229	61
2	1835	61
0	9696	61

Stop Event

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

Counts

7 → 249

Calls

Call 1

Inputs
(+.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 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64))))
(.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 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 8 binary64))) (.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 8 binary64)) #s(literal 49 binary64))) (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 8 binary64)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 49 binary64)) (.f64 #s(literal 7 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)))) (.f64 (-.f64 (+.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 49 binary64)) (.f64 #s(literal 7 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)))) #s(literal 343 binary64))) (pow.f64 (-.f64 (+.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 49 binary64)) (.f64 #s(literal 7 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)))) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) #s(literal 36 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64)))
(/.f64 (-.f64 #s(literal 49 binary64) (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 7 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 -216 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) (+.f64 #s(literal 36 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 49 binary64))) (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 8 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 343 binary64) (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 49 binary64)) (*.f64 #s(literal 7 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))))))
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(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)))
(hypot.f64 (neg.f64 (neg.f64 (sqrt.f64 (PI.f64)))) (neg.f64 (neg.f64 (sqrt.f64 (PI.f64)))))
(hypot.f64 (neg.f64 (neg.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (neg.f64 (PI.f64))))
(hypot.f64 (neg.f64 (neg.f64 (sqrt.f64 (PI.f64)))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))
(hypot.f64 (neg.f64 (neg.f64 (sqrt.f64 (PI.f64)))) (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)))
(hypot.f64 (neg.f64 (neg.f64 (sqrt.f64 (PI.f64)))) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))
(hypot.f64 (neg.f64 (neg.f64 (sqrt.f64 (PI.f64)))) (pow.f64 (neg.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)))
(hypot.f64 (neg.f64 (neg.f64 (sqrt.f64 (PI.f64)))) (neg.f64 (sqrt.f64 (PI.f64))))
(hypot.f64 (neg.f64 (neg.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(hypot.f64 (sqrt.f64 (neg.f64 (PI.f64))) (neg.f64 (neg.f64 (sqrt.f64 (PI.f64)))))
(hypot.f64 (sqrt.f64 (neg.f64 (PI.f64))) (sqrt.f64 (neg.f64 (PI.f64))))
(hypot.f64 (sqrt.f64 (neg.f64 (PI.f64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))
(hypot.f64 (sqrt.f64 (neg.f64 (PI.f64))) (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)))
(hypot.f64 (sqrt.f64 (neg.f64 (PI.f64))) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))
(hypot.f64 (sqrt.f64 (neg.f64 (PI.f64))) (pow.f64 (neg.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)))
(hypot.f64 (sqrt.f64 (neg.f64 (PI.f64))) (neg.f64 (sqrt.f64 (PI.f64))))
(hypot.f64 (sqrt.f64 (neg.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(hypot.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (neg.f64 (neg.f64 (sqrt.f64 (PI.f64)))))
(hypot.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (sqrt.f64 (neg.f64 (PI.f64))))
(hypot.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))
(hypot.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)))
(hypot.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))
(hypot.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (pow.f64 (neg.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)))
(hypot.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (neg.f64 (sqrt.f64 (PI.f64))))
(hypot.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (sqrt.f64 (PI.f64)))
(hypot.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (neg.f64 (neg.f64 (sqrt.f64 (PI.f64)))))
(hypot.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (sqrt.f64 (neg.f64 (PI.f64))))
(hypot.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))
(hypot.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)))
(hypot.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))
(hypot.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)))
(hypot.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (neg.f64 (sqrt.f64 (PI.f64))))
(hypot.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (sqrt.f64 (PI.f64)))
(hypot.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (neg.f64 (neg.f64 (sqrt.f64 (PI.f64)))))
(hypot.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (sqrt.f64 (neg.f64 (PI.f64))))
(hypot.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))
(hypot.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)))
(hypot.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))
(hypot.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)))
(hypot.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (neg.f64 (sqrt.f64 (PI.f64))))
(hypot.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (sqrt.f64 (PI.f64)))
(hypot.f64 (pow.f64 (neg.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)) (neg.f64 (neg.f64 (sqrt.f64 (PI.f64)))))
(hypot.f64 (pow.f64 (neg.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)) (sqrt.f64 (neg.f64 (PI.f64))))
(hypot.f64 (pow.f64 (neg.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))
(hypot.f64 (pow.f64 (neg.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)))
(hypot.f64 (pow.f64 (neg.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))
(hypot.f64 (pow.f64 (neg.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)))
(hypot.f64 (pow.f64 (neg.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 (PI.f64))))
(hypot.f64 (pow.f64 (neg.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)) (sqrt.f64 (PI.f64)))
(hypot.f64 (neg.f64 (sqrt.f64 (PI.f64))) (neg.f64 (neg.f64 (sqrt.f64 (PI.f64)))))
(hypot.f64 (neg.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (neg.f64 (PI.f64))))
(hypot.f64 (neg.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))
(hypot.f64 (neg.f64 (sqrt.f64 (PI.f64))) (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)))
(hypot.f64 (neg.f64 (sqrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))
(hypot.f64 (neg.f64 (sqrt.f64 (PI.f64))) (pow.f64 (neg.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)))
(hypot.f64 (neg.f64 (sqrt.f64 (PI.f64))) (neg.f64 (sqrt.f64 (PI.f64))))
(hypot.f64 (neg.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(hypot.f64 (sqrt.f64 (PI.f64)) (neg.f64 (neg.f64 (sqrt.f64 (PI.f64)))))
(hypot.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (neg.f64 (PI.f64))))
(hypot.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))
(hypot.f64 (sqrt.f64 (PI.f64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)))
(hypot.f64 (sqrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))
(hypot.f64 (sqrt.f64 (PI.f64)) (pow.f64 (neg.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)))
(hypot.f64 (sqrt.f64 (PI.f64)) (neg.f64 (sqrt.f64 (PI.f64))))
(hypot.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 (.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 1/2 binary64))) (sinh.f64 (.f64 (log.f64 (.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 1/2 binary64))))

eval154.0ms (0.6%)

Memory: 20.0MiB live, 162.6MiB allocated; 19ms collecting garbage
Compiler: Compiled 66 918 to 4 045 computations (94% saved)

prune70.0ms (0.3%)

Memory

-13.1MiB live, 77.4MiB allocated; 8ms collecting garbage

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	480	17	497
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	481	17	498

Accuracy

99.6%

Counts

498 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.4%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (/.f64 (.f64 (.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 (+.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%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (PI.f64) #s(literal 2 binary64)))) (exp.f64 (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))))))
▶	98.9%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (*.f64 (hypot.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 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%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (fma.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 #s(literal 8 binary64) (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (-.f64 (+.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)))) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
	97.0%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) #s(literal 99999999999961980000000003613801/100000000000000000000000000000000 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (.f64 (-.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)) #s(literal -3147848041806007/2500000000000 binary64))) (.f64 (-.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 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))))))
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	95.3%	(.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 #s(approx (+ (- (- 1 z) 1) 7) #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))))))
▶	97.8%	(.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))))))
	97.1%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 #s(approx ( (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (.f64 (.f64 (*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (sqrt.f64 (PI.f64))) (sqrt.f64 #s(literal 2 binary64))) (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))))))
▶	94.9%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 #s(approx ( (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (.f64 (.f64 (*.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))))))

Compiler

Compiled 4 384 to 2 262 computations (48.4% saved)

simplify237.0ms (0.9%)

Memory

30.8MiB live, 181.6MiB allocated; 33ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	2	(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64))
cost-diff	2	(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))
cost-diff	2	(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64))
cost-diff	2	(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))))))
cost-diff	2	(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64))
cost-diff	2	(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
cost-diff	2	(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64))
cost-diff	2	(+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))
cost-diff	2	(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64))
cost-diff	2	(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
cost-diff	2	(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64))
cost-diff	2	(+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))
cost-diff	2	(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64))
cost-diff	2	(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64))
cost-diff	2	(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
cost-diff	2	(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64))
cost-diff	2	(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64))
cost-diff	2	(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
cost-diff	2	(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64))
cost-diff	2	(+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	138	4455
0	238	3730
1	460	3540
2	1685	2799
3	7460	2799
0	8627	2799

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 (hypot.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 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 (hypot.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 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 (hypot.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 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 (hypot.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 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))))
(hypot.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))
(pow.f64 (PI.f64) #s(literal 3/2 binary64))
#s(literal 3/2 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))
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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))))
(+.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)

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
(.f64 (.f64 (*.f64 (hypot.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 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)))))
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(*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (hypot.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))))
(hypot.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))
(pow.f64 (PI.f64) #s(literal 3/2 binary64))
#s(literal 3/2 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)))
(pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))
(+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))
(-.f64 #s(literal 15/2 binary64) z)
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64))
(-.f64 #s(literal 7 binary64) z)
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) z)
(-.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 #s(literal 1/2 binary64) z)
(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))))
(exp.f64 (neg.f64 (-.f64 #s(literal 15/2 binary64) z)))
(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 #s(literal 15/2 binary64) z))
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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)))
(/.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 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(-.f64 #s(literal 0 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 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64))
(-.f64 #s(literal 7 binary64) z)
#s(literal 7 binary64)
(/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64)))
(/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z))
#s(literal 3764081837873279/25000000000000000000000 binary64)
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))
(-.f64 #s(literal 8 binary64) z)
#s(literal 8 binary64)

localize1.1s (4.1%)

Memory

34.1MiB live, 1 338.8MiB allocated; 397ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	1.0	(log.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))
accuracy	1.9618313230097495	(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	2.774003738453599	(+.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	58.33204823661628	(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
accuracy	1.0	(sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))
accuracy	1.0792196877997982	(+.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)))
accuracy	1.17578125	(.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	58.33204823661628	(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
accuracy	0.95703125	(.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)))))
accuracy	1.0	(sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))
accuracy	1.17578125	(.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	58.33204823661628	(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
accuracy	1.0	(sqrt.f64 (PI.f64))
accuracy	1.6798117615516306	#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	2.774003738453599	(+.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	58.33204823661628	(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
accuracy	1.0	(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))
accuracy	1.17578125	(.f64 (.f64 (hypot.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 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	2.774003738453599	(+.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	58.33204823661628	(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))

Samples

447.0ms	169×	1	valid
312.0ms	80×	2	valid
10.0ms	7×	0	valid

Compiler

Compiled 4 392 to 116 computations (97.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 563.0ms

adjust: 188.0ms (33.4% of total)

ival-add: 90.0ms (16% of total)

const: 76.0ms (13.5% of total)

ival-mult: 62.0ms (11% of total)

ival-div: 36.0ms (6.4% of total)

ival-pow: 23.0ms (4.1% of total)

ival-log: 21.0ms (3.7% of total)

ival-exp: 17.0ms (3% of total)

ival-sub: 14.0ms (2.5% of total)

ival-sqrt: 9.0ms (1.6% of total)

ival-hypot: 8.0ms (1.4% of total)

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

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

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

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

exact: 2.0ms (0.4% of total)

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

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

series29.0ms (0.1%)

Memory

-19.6MiB live, 24.1MiB allocated; 34ms collecting garbage

Counts

20 → 68

Calls

Call 1

Inputs
(+.f64 (+.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 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #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))
(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 -13/2 binary64))
(-.f64 (-.f64 #s(literal 1 binary64) z) #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 (hypot.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 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)))))
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 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 (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)))))
(+.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)))
(log.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))

Outputs
15/2
(+ 15/2 (* -1 z))
7
(+ 7 (* -1 z))
(* -1 z)
1/2
(+ 1/2 (* -1 z))
1
(+ 1 (* -1 z))
2
(+ 2 (* -1 z))
3
(+ 3 (* -1 z))
(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)))))))
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)))))
(* 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))))))))))
469507597606837/10000000000000
(+ 469507597606837/10000000000000 (* 904338909853211/2500000000000 z))
(+ 469507597606837/10000000000000 (* z (+ 904338909853211/2500000000000 (* 2076511864126339/4000000000000 z))))
(+ 469507597606837/10000000000000 (* z (+ 904338909853211/2500000000000 (* z (+ 2076511864126339/4000000000000 (* 23912966683069397/40000000000000 z))))))
(* z (- (* 15/2 (/ 1 z)) 1))
(* z (- (* 7 (/ 1 z)) 1))
(* z (- (* 1/2 (/ 1 z)) 1))
(* z (- (/ 1 z) 1))
(* z (- (* 2 (/ 1 z)) 1))
(* z (- (* 3 (/ 1 z)) 1))
(exp (- (+ z (+ (* 1/2 (log (* 2 (PI)))) (* (log (- 15/2 z)) (- 1/2 z)))) 15/2))
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)))))
(* (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)))))))
(/ 5826188486005177/10000000000000 z)
(/ (+ 5826188486005177/10000000000000 (* 3683516130645841/2000000000000 (/ 1 z))) z)
(/ (+ 5826188486005177/10000000000000 (+ (* 3683516130645841/2000000000000 (/ 1 z)) (/ 43600364987677261/10000000000000 (pow z 2)))) z)
(/ (+ 5826188486005177/10000000000000 (+ (* 3683516130645841/2000000000000 (/ 1 z)) (+ (* 93965933656573373/10000000000000 (/ 1 (pow z 3))) (/ 43600364987677261/10000000000000 (pow z 2))))) z)
(* -1 (* z (- 1 (* 15/2 (/ 1 z)))))
(* -1 (* z (- 1 (* 7 (/ 1 z)))))
(* -1 (* z (- 1 (* 1/2 (/ 1 z)))))
(* -1 (* z (- 1 (/ 1 z))))
(* -1 (* z (- 1 (* 2 (/ 1 z)))))
(* -1 (* z (- 1 (* 3 (/ 1 z)))))
(exp (- (+ (* 1/2 (log (* 2 (PI)))) (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (+ 15/2 (* -1 z))))
(+ 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))))
(* 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 (/ (- (* -1 (/ (+ 3683516130645841/2000000000000 (* 43600364987677261/10000000000000 (/ 1 z))) z)) 5826188486005177/10000000000000) z))
(* -1 (/ (- (* -1 (/ (+ 3683516130645841/2000000000000 (+ (* 43600364987677261/10000000000000 (/ 1 z)) (/ 93965933656573373/10000000000000 (pow z 2)))) z)) 5826188486005177/10000000000000) z))

Calls

3 calls:

Time	Variable		Point	Expression
18.0ms	z	@	inf	((+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 7) (- (- 1 z) 1) (+ (- (- 1 z) 1) 1/2) (+ (- (- 1 z) 1) 1) (+ (- (- 1 z) 1) 2) (+ (- (- 1 z) 1) 3) (exp (+ (* (log (* (PI) 2)) 1/2) (+ (* (log (- (- 1 z) -13/2)) (- (- 1 z) 1/2)) (neg (- (- 1 z) -13/2))))) (- (- 1 z) -13/2) (- (- 1 z) 1/2) (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (* (* (sqrt (+ (* (cbrt (pow (PI) 3/2)) (cbrt (pow (PI) 3/2))) (* (cbrt (pow (PI) 3/2)) (cbrt (pow (PI) 3/2))))) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (cbrt (pow (PI) 3/2)) (* (* (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)))) (+ (/ -3147848041806007/2500000000000 (- (- 1 z) -1)) (/ 6765203681218851/10000000000000 (- 1 z))) (log (* (PI) 2)))
5.0ms	z	@	0	((+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 7) (- (- 1 z) 1) (+ (- (- 1 z) 1) 1/2) (+ (- (- 1 z) 1) 1) (+ (- (- 1 z) 1) 2) (+ (- (- 1 z) 1) 3) (exp (+ (* (log (* (PI) 2)) 1/2) (+ (* (log (- (- 1 z) -13/2)) (- (- 1 z) 1/2)) (neg (- (- 1 z) -13/2))))) (- (- 1 z) -13/2) (- (- 1 z) 1/2) (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (* (* (sqrt (+ (* (cbrt (pow (PI) 3/2)) (cbrt (pow (PI) 3/2))) (* (cbrt (pow (PI) 3/2)) (cbrt (pow (PI) 3/2))))) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (cbrt (pow (PI) 3/2)) (* (* (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)))) (+ (/ -3147848041806007/2500000000000 (- (- 1 z) -1)) (/ 6765203681218851/10000000000000 (- 1 z))) (log (* (PI) 2)))
3.0ms	z	@	-inf	((+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 7) (- (- 1 z) 1) (+ (- (- 1 z) 1) 1/2) (+ (- (- 1 z) 1) 1) (+ (- (- 1 z) 1) 2) (+ (- (- 1 z) 1) 3) (exp (+ (* (log (* (PI) 2)) 1/2) (+ (* (log (- (- 1 z) -13/2)) (- (- 1 z) 1/2)) (neg (- (- 1 z) -13/2))))) (- (- 1 z) -13/2) (- (- 1 z) 1/2) (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (* (* (sqrt (+ (* (cbrt (pow (PI) 3/2)) (cbrt (pow (PI) 3/2))) (* (cbrt (pow (PI) 3/2)) (cbrt (pow (PI) 3/2))))) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (cbrt (pow (PI) 3/2)) (* (* (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)))) (+ (/ -3147848041806007/2500000000000 (- (- 1 z) -1)) (/ 6765203681218851/10000000000000 (- 1 z))) (log (* (PI) 2)))

Time

Variable

Point

Expression

18.0ms

inf

((+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 7) (- (- 1 z) 1) (+ (- (- 1 z) 1) 1/2) (+ (- (- 1 z) 1) 1) (+ (- (- 1 z) 1) 2) (+ (- (- 1 z) 1) 3) (exp (+ (* (log (* (PI) 2)) 1/2) (+ (* (log (- (- 1 z) -13/2)) (- (- 1 z) 1/2)) (neg (- (- 1 z) -13/2))))) (- (- 1 z) -13/2) (- (- 1 z) 1/2) (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (* (* (sqrt (+ (* (cbrt (pow (PI) 3/2)) (cbrt (pow (PI) 3/2))) (* (cbrt (pow (PI) 3/2)) (cbrt (pow (PI) 3/2))))) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (cbrt (pow (PI) 3/2)) (* (* (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)))) (+ (/ -3147848041806007/2500000000000 (- (- 1 z) -1)) (/ 6765203681218851/10000000000000 (- 1 z))) (log (* (PI) 2)))

5.0ms

((+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 7) (- (- 1 z) 1) (+ (- (- 1 z) 1) 1/2) (+ (- (- 1 z) 1) 1) (+ (- (- 1 z) 1) 2) (+ (- (- 1 z) 1) 3) (exp (+ (* (log (* (PI) 2)) 1/2) (+ (* (log (- (- 1 z) -13/2)) (- (- 1 z) 1/2)) (neg (- (- 1 z) -13/2))))) (- (- 1 z) -13/2) (- (- 1 z) 1/2) (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (* (* (sqrt (+ (* (cbrt (pow (PI) 3/2)) (cbrt (pow (PI) 3/2))) (* (cbrt (pow (PI) 3/2)) (cbrt (pow (PI) 3/2))))) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (cbrt (pow (PI) 3/2)) (* (* (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)))) (+ (/ -3147848041806007/2500000000000 (- (- 1 z) -1)) (/ 6765203681218851/10000000000000 (- 1 z))) (log (* (PI) 2)))

3.0ms

-inf

((+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 7) (- (- 1 z) 1) (+ (- (- 1 z) 1) 1/2) (+ (- (- 1 z) 1) 1) (+ (- (- 1 z) 1) 2) (+ (- (- 1 z) 1) 3) (exp (+ (* (log (* (PI) 2)) 1/2) (+ (* (log (- (- 1 z) -13/2)) (- (- 1 z) 1/2)) (neg (- (- 1 z) -13/2))))) (- (- 1 z) -13/2) (- (- 1 z) 1/2) (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (* (* (sqrt (+ (* (cbrt (pow (PI) 3/2)) (cbrt (pow (PI) 3/2))) (* (cbrt (pow (PI) 3/2)) (cbrt (pow (PI) 3/2))))) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (cbrt (pow (PI) 3/2)) (* (* (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)))) (+ (/ -3147848041806007/2500000000000 (- (- 1 z) -1)) (/ 6765203681218851/10000000000000 (- 1 z))) (log (* (PI) 2)))

simplify263.0ms (1%)

Memory

-12.0MiB live, 299.2MiB allocated; 74ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	327	1820
1	1201	1695
2	5424	1687
0	8488	1602

Stop Event

1×	iter limit
1×	node limit

Counts

68 → 68

Calls

Call 1

Inputs
15/2
(+ 15/2 (* -1 z))
7
(+ 7 (* -1 z))
(* -1 z)
1/2
(+ 1/2 (* -1 z))
1
(+ 1 (* -1 z))
2
(+ 2 (* -1 z))
3
(+ 3 (* -1 z))
(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)))))))
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)))))
(* 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))))))))))
469507597606837/10000000000000
(+ 469507597606837/10000000000000 (* 904338909853211/2500000000000 z))
(+ 469507597606837/10000000000000 (* z (+ 904338909853211/2500000000000 (* 2076511864126339/4000000000000 z))))
(+ 469507597606837/10000000000000 (* z (+ 904338909853211/2500000000000 (* z (+ 2076511864126339/4000000000000 (* 23912966683069397/40000000000000 z))))))
(* z (- (* 15/2 (/ 1 z)) 1))
(* z (- (* 7 (/ 1 z)) 1))
(* z (- (* 1/2 (/ 1 z)) 1))
(* z (- (/ 1 z) 1))
(* z (- (* 2 (/ 1 z)) 1))
(* z (- (* 3 (/ 1 z)) 1))
(exp (- (+ z (+ (* 1/2 (log (* 2 (PI)))) (* (log (- 15/2 z)) (- 1/2 z)))) 15/2))
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)))))
(* (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)))))))
(/ 5826188486005177/10000000000000 z)
(/ (+ 5826188486005177/10000000000000 (* 3683516130645841/2000000000000 (/ 1 z))) z)
(/ (+ 5826188486005177/10000000000000 (+ (* 3683516130645841/2000000000000 (/ 1 z)) (/ 43600364987677261/10000000000000 (pow z 2)))) z)
(/ (+ 5826188486005177/10000000000000 (+ (* 3683516130645841/2000000000000 (/ 1 z)) (+ (* 93965933656573373/10000000000000 (/ 1 (pow z 3))) (/ 43600364987677261/10000000000000 (pow z 2))))) z)
(* -1 (* z (- 1 (* 15/2 (/ 1 z)))))
(* -1 (* z (- 1 (* 7 (/ 1 z)))))
(* -1 (* z (- 1 (* 1/2 (/ 1 z)))))
(* -1 (* z (- 1 (/ 1 z))))
(* -1 (* z (- 1 (* 2 (/ 1 z)))))
(* -1 (* z (- 1 (* 3 (/ 1 z)))))
(exp (- (+ (* 1/2 (log (* 2 (PI)))) (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (+ 15/2 (* -1 z))))
(+ 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))))
(* 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 (/ (- (* -1 (/ (+ 3683516130645841/2000000000000 (* 43600364987677261/10000000000000 (/ 1 z))) z)) 5826188486005177/10000000000000) z))
(* -1 (/ (- (* -1 (/ (+ 3683516130645841/2000000000000 (+ (* 43600364987677261/10000000000000 (/ 1 z)) (/ 93965933656573373/10000000000000 (pow z 2)))) z)) 5826188486005177/10000000000000) z))

Outputs
15/2
#s(literal 15/2 binary64)
(+ 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)
(* -1 z)
(neg.f64 z)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1 z))
(-.f64 #s(literal 1/2 binary64) z)
1
#s(literal 1 binary64)
(+ 1 (* -1 z))
(-.f64 #s(literal 1 binary64) z)
2
#s(literal 2 binary64)
(+ 2 (* -1 z))
(-.f64 #s(literal 2 binary64) z)
3
#s(literal 3 binary64)
(+ 3 (* -1 z))
(-.f64 #s(literal 3 binary64) z)
(exp (- (+ (* 1/2 (log 15/2)) (* 1/2 (log (* 2 (PI))))) 15/2))
(.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64)) (exp.f64 #s(literal 15/2 binary64))) (pow.f64 #s(literal 15/2 binary64) #s(literal 1/2 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))))))
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(fma.f64 (.f64 #s(literal 9999999999998099/10000000000000000 binary64) (.f64 (exp.f64 (+.f64 #s(literal -15/2 binary64) z)) (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))) (.f64 (.f64 #s(literal -611458333333720910362579/25000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (.f64 (*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) z)) (exp.f64 (+.f64 #s(literal -15/2 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 (sqrt.f64 (PI.f64)) #s(literal 9999999999998099/10000000000000000 binary64)) (.f64 (exp.f64 (+.f64 #s(literal -15/2 binary64) z)) (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 (exp.f64 (+.f64 #s(literal -15/2 binary64) z)) (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))) (.f64 (.f64 #s(literal -1078390842009938509147167/6250000000000000000000 binary64) (sqrt.f64 (PI.f64))) (.f64 (.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) z)) (exp.f64 (+.f64 #s(literal -15/2 binary64) 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) (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 (sqrt.f64 (PI.f64)) #s(literal 9999999999998099/10000000000000000 binary64)) (.f64 (exp.f64 (+.f64 #s(literal -15/2 binary64) z)) (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 (.f64 #s(literal 611458333333720910362579/25000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (.f64 (exp.f64 (+.f64 #s(literal -15/2 binary64) z)) (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 1078390842009938509147167/6250000000000000000000 binary64) (.f64 (exp.f64 (+.f64 #s(literal -15/2 binary64) z)) (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))) (.f64 (.f64 #s(literal -398308844029173303716389/6250000000000000000000 binary64) (sqrt.f64 (PI.f64))) (.f64 (*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) z)) (exp.f64 (+.f64 #s(literal -15/2 binary64) z))))) (neg.f64 z))) (neg.f64 z)))
(* -1 (/ (- (* -1 (/ (+ 3683516130645841/2000000000000 (* 43600364987677261/10000000000000 (/ 1 z))) z)) 5826188486005177/10000000000000) z))
(/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 43600364987677261/10000000000000 binary64) z) #s(literal -1 binary64) #s(literal -3683516130645841/2000000000000 binary64)) z) #s(literal 5826188486005177/10000000000000 binary64)) (neg.f64 z))
(* -1 (/ (- (* -1 (/ (+ 3683516130645841/2000000000000 (+ (* 43600364987677261/10000000000000 (/ 1 z)) (/ 93965933656573373/10000000000000 (pow z 2)))) z)) 5826188486005177/10000000000000) z))
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 93965933656573373/10000000000000 binary64) z) #s(literal 43600364987677261/10000000000000 binary64)) z) #s(literal 3683516130645841/2000000000000 binary64)) (neg.f64 z)) #s(literal 5826188486005177/10000000000000 binary64)) (neg.f64 z))

rewrite261.0ms (1%)

Memory

32.2MiB live, 264.8MiB allocated; 26ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	113	378
0	187	312
1	761	287
2	6393	287
0	8650	287

Stop Event

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

Counts

20 → 482

Calls

Call 1

Inputs
(+.f64 (+.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 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #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))
(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 -13/2 binary64))
(-.f64 (-.f64 #s(literal 1 binary64) z) #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 (hypot.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 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)))))
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 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 (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)))))
(+.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)))
(log.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))

Outputs
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal -13/2 binary64) z) (+.f64 #s(literal -13/2 binary64) z))) (+.f64 #s(literal 1 binary64) (+.f64 #s(literal -13/2 binary64) z)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))))
(/.f64 (-.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 225/4 binary64)) (-.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 15/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal -13/2 binary64) z) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal -13/2 binary64) z) (+.f64 #s(literal -13/2 binary64) z) (*.f64 #s(literal 1 binary64) (+.f64 #s(literal -13/2 binary64) z)))))
(/.f64 (+.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 3375/8 binary64)) (+.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 225/4 binary64) (*.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 15/2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) #s(literal 169/4 binary64))) (neg.f64 (+.f64 #s(literal -13/2 binary64) (-.f64 #s(literal 1 binary64) z))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) #s(literal -2197/8 binary64))) (neg.f64 (+.f64 (fma.f64 #s(literal -13/2 binary64) (-.f64 #s(literal 1 binary64) z) #s(literal 169/4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -11/2 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.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 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) #s(literal 169/4 binary64)) (+.f64 #s(literal -13/2 binary64) (-.f64 #s(literal 1 binary64) z)))
(/.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 (-.f64 #s(literal 1 binary64) z) #s(literal -11/2 binary64)))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) #s(literal -2197/8 binary64)) (+.f64 (fma.f64 #s(literal -13/2 binary64) (-.f64 #s(literal 1 binary64) z) #s(literal 169/4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 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)) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 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)) (-.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)))))
(fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64) #s(literal 15/2 binary64))
(fma.f64 #s(literal 1 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 15/2 binary64))
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) (+.f64 #s(literal -13/2 binary64) (-.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 169/4 binary64) (+.f64 #s(literal -13/2 binary64) (-.f64 #s(literal 1 binary64) z))))
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) (+.f64 (fma.f64 #s(literal -13/2 binary64) (-.f64 #s(literal 1 binary64) z) #s(literal 169/4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))) (/.f64 #s(literal -2197/8 binary64) (+.f64 (fma.f64 #s(literal -13/2 binary64) (-.f64 #s(literal 1 binary64) z) #s(literal 169/4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64)) #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -11/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -11/2 binary64))))
(-.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal -6 binary64))
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64))
(-.f64 #s(literal 1 binary64) (-.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 15/2 binary64)))
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal -13/2 binary64) z))
(+.f64 (/.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64)) #s(literal 3 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)) (.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))))) (/.f64 #s(literal 1/8 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)) (.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))))))
(+.f64 #s(literal 15/2 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)))
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) #s(literal 7 binary64))
(+.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64)))
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 7 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)))
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 15/2 binary64))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) #s(literal 36 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64)))
(/.f64 (-.f64 #s(literal 49 binary64) (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 7 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 -216 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) (+.f64 #s(literal 36 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 49 binary64))) (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 8 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 343 binary64) (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 49 binary64)) (*.f64 #s(literal 7 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #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 49 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 8 binary64)))
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(/.f64 (fma.f64 #s(literal 6765203681218851/10000000000000 binary64) (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) (.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3147848041806007/2500000000000 binary64))) (.f64 (-.f64 #s(literal 1 binary64) z) (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))))
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(/.f64 (+.f64 (pow.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (log.f64 (PI.f64)) (log.f64 (PI.f64)) (-.f64 (.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))) (.f64 (log.f64 (PI.f64)) (log.f64 #s(literal 2 binary64))))))
(fma.f64 #s(literal 2/3 binary64) (*.f64 (log.f64 (PI.f64)) #s(literal 3/2 binary64)) (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1/3 binary64) (log.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) (log.f64 #s(literal 2 binary64)))
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(fma.f64 #s(literal 1/3 binary64) (*.f64 (log.f64 (PI.f64)) #s(literal 3/2 binary64)) (log.f64 (-.f64 (sqrt.f64 (PI.f64)) (neg.f64 (sqrt.f64 (PI.f64))))))
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(fma.f64 #s(literal 3 binary64) (log.f64 (cbrt.f64 (PI.f64))) (log.f64 #s(literal 2 binary64)))
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(fma.f64 #s(literal 1 binary64) (log.f64 (PI.f64)) (log.f64 #s(literal 2 binary64)))
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(-.f64 (log.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))) (log.f64 (neg.f64 (fma.f64 (PI.f64) (PI.f64) #s(literal 0 binary64)))))
(-.f64 (log.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (log.f64 (fma.f64 (PI.f64) (PI.f64) #s(literal 0 binary64))))
(-.f64 (log.f64 #s(literal 0 binary64)) (log.f64 #s(literal 0 binary64)))
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(+.f64 (log.f64 (neg.f64 (sqrt.f64 (PI.f64)))) (log.f64 (-.f64 (neg.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))))
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(+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 (-.f64 (sqrt.f64 (PI.f64)) (neg.f64 (sqrt.f64 (PI.f64))))))
(+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (PI.f64)))
(+.f64 (log.f64 (PI.f64)) (log.f64 #s(literal 2 binary64)))
(log.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))

eval512.0ms (2%)

Memory: 9.7MiB live, 939.5MiB allocated; 97ms collecting garbage
Compiler: Compiled 257 929 to 9 098 computations (96.5% saved)

prune102.0ms (0.4%)

Memory

-15.6MiB live, 196.0MiB allocated; 23ms collecting garbage

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	1 890	15	1 905
Fresh	9	3	12
Picked	5	0	5
Done	0	0	0
Total	1 904	18	1 922

Accuracy

99.6%

Counts

1 922 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.6%	(.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 (PI.f64) #s(literal 2 binary64))) (.f64 (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -7 binary64))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -5 binary64))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -4 binary64))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) #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))))))))) (exp.f64 (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64))))))))
	96.9%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (PI.f64) #s(literal 2 binary64)))) (exp.f64 (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))))))
▶	98.5%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.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))))))
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▶	97.0%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 2 binary64) (+.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 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
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	98.0%	(.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 #s(approx (+ (+ (- (- 1 z) 1) 7) 1/2) (-.f64 #s(literal 15/2 binary64) z))))) (+.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))))))
▶	96.4%	(.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 #s(approx (+ (+ (- (- 1 z) 1) 7) 1/2) #s(literal 15/2 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))))))
	97.6%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.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))) (.f64 (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -7 binary64))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -5 binary64))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -4 binary64))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) #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))))))))) (exp.f64 (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64))))))))
▶	97.6%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (.f64 (exp.f64 (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)))) (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)))) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -7 binary64))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -5 binary64))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -4 binary64))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) #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))))))))))))
	97.9%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 (log.f64 (PI.f64)) #s(literal 3/2 binary64)) (log.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64) (fma.f64 (log.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64))) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
	97.8%	(.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))))))
	97.1%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 #s(approx ( (* (sqrt (+ (* (cbrt (pow (PI) 3/2)) (cbrt (pow (PI) 3/2))) (* (cbrt (pow (PI) 3/2)) (cbrt (pow (PI) 3/2))))) (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 (PI.f64))) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 (-.f64 z #s(literal 15/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
	95.1%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 #s(approx ( (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 #s(literal -15/2 binary64))) (sqrt.f64 (PI.f64)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) #s(approx (+ (- (- 1 z) 1) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) #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 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))) (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))))))
	96.1%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 #s(approx ( (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 #s(literal -15/2 binary64))) (sqrt.f64 (PI.f64)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #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))))))
▶	96.1%	(.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 (.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))))))

Compiler

Compiled 4 604 to 2 558 computations (44.4% saved)

simplify153.0ms (0.6%)

Memory

18.8MiB live, 236.6MiB allocated; 40ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	1	(.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)))))
cost-diff	2	(-.f64 #s(literal 2 binary64) (+.f64 z #s(literal 1 binary64)))
cost-diff	2	(+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))
cost-diff	3	(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
cost-diff	1	(.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)))))
cost-diff	2	(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))
cost-diff	2	(+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))
cost-diff	3	(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
cost-diff	2	(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))
cost-diff	2	(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -7 binary64))
cost-diff	2	(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))
cost-diff	2	(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64))
cost-diff	0	(sin.f64 (*.f64 (PI.f64) z))
cost-diff	0	(PI.f64)
cost-diff	0	(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
cost-diff	0	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) #s(approx (* (* (* (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	1	(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64))
cost-diff	1	(.f64 (.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.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)))))
cost-diff	2	(+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))
cost-diff	3	(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	182	3922
0	304	3396
1	615	3258
2	2175	2604
3	7830	2604
0	8090	2604

Stop Event

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

Calls

Call 1

Inputs
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(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))
#s(literal 8 binary64)

Outputs
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(/.f64 #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)

localize2.2s (8.8%)

Memory

-193.8MiB live, 1 459.1MiB allocated; 1.8s collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	1.0	(sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))
accuracy	1.17578125	(.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	2.774003738453599	(+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 2 binary64) (+.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))))
accuracy	58.33204823661628	(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
accuracy	1.0792196877997982	(+.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)))
accuracy	1.17578125	(.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	1.49710716262647	#s(approx (+ (+ (- (- 1 z) 1) 7) 1/2) #s(literal 15/2 binary64))
accuracy	58.33204823661628	(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
accuracy	0.95703125	(+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) #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)))))
accuracy	0.96875	(.f64 (.f64 (exp.f64 (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)))) (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)))) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -7 binary64))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -5 binary64))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -4 binary64))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) #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))))))))))
accuracy	1.0	(sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))
accuracy	1.16796875	(*.f64 (exp.f64 (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)))) (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))))
accuracy	0.34375	(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
accuracy	0.37890625	(.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	1.602747285832018	#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	0.95703125	(.f64 (.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.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)))))
accuracy	1.0	(sqrt.f64 (PI.f64))
accuracy	1.17578125	(.f64 (.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.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	58.33204823661628	(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))

Samples

1.3s	79×	2	valid
616.0ms	170×	1	valid
10.0ms	7×	0	valid

Compiler

Compiled 3 687 to 149 computations (96% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.7s

adjust: 1.1s (67.9% of total)

ival-add: 114.0ms (6.9% of total)

ival-div: 91.0ms (5.5% of total)

ival-sub: 84.0ms (5% of total)

const: 84.0ms (5% of total)

ival-mult: 77.0ms (4.6% of total)

ival-pow: 50.0ms (3% of total)

ival-exp: 15.0ms (0.9% of total)

ival-sqrt: 7.0ms (0.4% of total)

ival-neg: 5.0ms (0.3% of total)

ival-sinu: 4.0ms (0.2% of total)

exact: 2.0ms (0.1% of total)

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

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

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

series63.0ms (0.2%)

Memory

2.3MiB live, 45.2MiB allocated; 10ms collecting garbage

Counts

26 → 111

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

Outputs
(* -1 z)
15/2
(+ 15/2 (* -1 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)))))
7
(+ 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))))))))
1/2
(+ 1/2 (* -1 z))
8
(+ 8 (* -1 z))
2
(+ 2 (* -1 z))
1
(+ 1 (* -1 z))
(* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))))
(+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))))) (* (* z (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))) (* (exp -15/2) (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2))))))) (sqrt (PI))))
(+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))))) (* z (+ (* (sqrt (PI)) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))) (* (exp -15/2) (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2))))))) (* (* z (+ (* 1106209385320415913103082059/8400000000000000000000000 (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))) (+ (* (exp -15/2) (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (+ (* 102757979785251069442117317613/235200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 64608921419941589693928044520019/118540800000000000000000000000 (sqrt 15/2)))))) (* (exp -15/2) (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))))))) (sqrt (PI))))))
(+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))))) (* z (+ (* z (+ (* (sqrt (PI)) (+ (* 1106209385320415913103082059/8400000000000000000000000 (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))) (+ (* (exp -15/2) (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (+ (* 102757979785251069442117317613/235200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 64608921419941589693928044520019/118540800000000000000000000000 (sqrt 15/2)))))) (* (exp -15/2) (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))))))) (* (* z (+ (* 1/2 (* (exp -15/2) (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))))) (+ (* 1106209385320415913103082059/25200000000000000000000000 (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))) (+ (* (exp -15/2) (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (+ 86/10125 (+ (* 29/225 (- (* -1 (log 15/2)) 1/15)) (* 1/6 (pow (- (* -1 (log 15/2)) 1/15) 3)))))) (+ (* 102757979785251069442117317613/235200000000000000000000000 (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (+ (* 64608921419941589693928044520019/118540800000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 4027292589444183035165374538123333/6638284800000000000000000000000 (sqrt 15/2))))))) (* (exp -15/2) (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (+ (* 102757979785251069442117317613/235200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 64608921419941589693928044520019/118540800000000000000000000000 (sqrt 15/2)))))))))) (sqrt (PI))))) (* (sqrt (PI)) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))) (* (exp -15/2) (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2))))))))))
(* (exp -15/2) (sqrt 15/2))
(+ (* z (+ (* (exp -15/2) (sqrt 15/2)) (* (exp -15/2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))))) (* (exp -15/2) (sqrt 15/2)))
(+ (* z (+ (* z (+ (* 1/2 (* (exp -15/2) (sqrt 15/2))) (+ (* (exp -15/2) (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (* (exp -15/2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15)))))) (+ (* (exp -15/2) (sqrt 15/2)) (* (exp -15/2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15)))))) (* (exp -15/2) (sqrt 15/2)))
(+ (* z (+ (* z (+ (* 1/2 (* (exp -15/2) (sqrt 15/2))) (+ (* z (+ (* 1/6 (* (exp -15/2) (sqrt 15/2))) (+ (* 1/2 (* (exp -15/2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15)))) (+ (* (exp -15/2) (* (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 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))))))) (+ (* (exp -15/2) (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (* (exp -15/2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))))))) (+ (* (exp -15/2) (sqrt 15/2)) (* (exp -15/2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15)))))) (* (exp -15/2) (sqrt 15/2)))
(* 1106209385320415913103082059/4200000000000000000000000 (* (exp -15/2) (sqrt 15/2)))
(+ (* 1106209385320415913103082059/4200000000000000000000000 (* (exp -15/2) (sqrt 15/2))) (* z (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (exp -15/2) (sqrt 15/2))) (* (exp -15/2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))))))
(+ (* 1106209385320415913103082059/4200000000000000000000000 (* (exp -15/2) (sqrt 15/2))) (* z (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (exp -15/2) (sqrt 15/2))) (+ (* z (+ (* 1106209385320415913103082059/8400000000000000000000000 (* (exp -15/2) (sqrt 15/2))) (+ (* (exp -15/2) (+ (* 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) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2))))))) (* (exp -15/2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2))))))))
(+ (* 1106209385320415913103082059/4200000000000000000000000 (* (exp -15/2) (sqrt 15/2))) (* z (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (exp -15/2) (sqrt 15/2))) (+ (* z (+ (* 1106209385320415913103082059/8400000000000000000000000 (* (exp -15/2) (sqrt 15/2))) (+ (* z (+ (* 1/2 (* (exp -15/2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2))))) (+ (* 1106209385320415913103082059/25200000000000000000000000 (* (exp -15/2) (sqrt 15/2))) (+ (* (exp -15/2) (+ (* 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) (+ (* 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) (+ (* 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) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))))))) (* (exp -15/2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 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))))))
469507597606837/10000000000000
(+ 469507597606837/10000000000000 (* 904338909853211/2500000000000 z))
(+ 469507597606837/10000000000000 (* z (+ 904338909853211/2500000000000 (* 2076511864126339/4000000000000 z))))
(+ 469507597606837/10000000000000 (* z (+ 904338909853211/2500000000000 (* z (+ 2076511864126339/4000000000000 (* 23912966683069397/40000000000000 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))))))
(* z (- (* 15/2 (/ 1 z)) 1))
(* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))))
(* z (- (* 7 (/ 1 z)) 1))
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(/ (PI) (sin (* z (PI))))
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(/ (+ 5826188486005177/10000000000000 (+ (* 3683516130645841/2000000000000 (/ 1 z)) (/ 43600364987677261/10000000000000 (pow z 2)))) z)
(/ (+ 5826188486005177/10000000000000 (+ (* 3683516130645841/2000000000000 (/ 1 z)) (+ (* 93965933656573373/10000000000000 (/ 1 (pow z 3))) (/ 43600364987677261/10000000000000 (pow z 2))))) z)
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Calls

3 calls:

Time

Variable

Point

Expression

47.0ms

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

7.0ms

inf

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

5.0ms

-inf

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

simplify270.0ms (1.1%)

Memory

3.0MiB live, 334.6MiB allocated; 50ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	567	4001
1	2115	3749
0	8829	3549

Stop Event

1×	iter limit
1×	node limit

Counts

111 → 111

Calls

Call 1

Inputs
(* -1 z)
15/2
(+ 15/2 (* -1 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)))))
7
(+ 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))))))))
1/2
(+ 1/2 (* -1 z))
8
(+ 8 (* -1 z))
2
(+ 2 (* -1 z))
1
(+ 1 (* -1 z))
(* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))))
(+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))))) (* (* z (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))) (* (exp -15/2) (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2))))))) (sqrt (PI))))
(+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))))) (* z (+ (* (sqrt (PI)) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))) (* (exp -15/2) (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2))))))) (* (* z (+ (* 1106209385320415913103082059/8400000000000000000000000 (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))) (+ (* (exp -15/2) (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (+ (* 102757979785251069442117317613/235200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 64608921419941589693928044520019/118540800000000000000000000000 (sqrt 15/2)))))) (* (exp -15/2) (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))))))) (sqrt (PI))))))
(+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))))) (* z (+ (* z (+ (* (sqrt (PI)) (+ (* 1106209385320415913103082059/8400000000000000000000000 (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))) (+ (* (exp -15/2) (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (+ (* 102757979785251069442117317613/235200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 64608921419941589693928044520019/118540800000000000000000000000 (sqrt 15/2)))))) (* (exp -15/2) (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))))))) (* (* z (+ (* 1/2 (* (exp -15/2) (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))))) (+ (* 1106209385320415913103082059/25200000000000000000000000 (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))) (+ (* (exp -15/2) (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (+ 86/10125 (+ (* 29/225 (- (* -1 (log 15/2)) 1/15)) (* 1/6 (pow (- (* -1 (log 15/2)) 1/15) 3)))))) (+ (* 102757979785251069442117317613/235200000000000000000000000 (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (+ (* 64608921419941589693928044520019/118540800000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 4027292589444183035165374538123333/6638284800000000000000000000000 (sqrt 15/2))))))) (* (exp -15/2) (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (+ (* 102757979785251069442117317613/235200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 64608921419941589693928044520019/118540800000000000000000000000 (sqrt 15/2)))))))))) (sqrt (PI))))) (* (sqrt (PI)) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))) (* (exp -15/2) (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2))))))))))
(* (exp -15/2) (sqrt 15/2))
(+ (* z (+ (* (exp -15/2) (sqrt 15/2)) (* (exp -15/2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))))) (* (exp -15/2) (sqrt 15/2)))
(+ (* z (+ (* z (+ (* 1/2 (* (exp -15/2) (sqrt 15/2))) (+ (* (exp -15/2) (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (* (exp -15/2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15)))))) (+ (* (exp -15/2) (sqrt 15/2)) (* (exp -15/2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15)))))) (* (exp -15/2) (sqrt 15/2)))
(+ (* z (+ (* z (+ (* 1/2 (* (exp -15/2) (sqrt 15/2))) (+ (* z (+ (* 1/6 (* (exp -15/2) (sqrt 15/2))) (+ (* 1/2 (* (exp -15/2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15)))) (+ (* (exp -15/2) (* (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 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))))))) (+ (* (exp -15/2) (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (* (exp -15/2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))))))) (+ (* (exp -15/2) (sqrt 15/2)) (* (exp -15/2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15)))))) (* (exp -15/2) (sqrt 15/2)))
(* 1106209385320415913103082059/4200000000000000000000000 (* (exp -15/2) (sqrt 15/2)))
(+ (* 1106209385320415913103082059/4200000000000000000000000 (* (exp -15/2) (sqrt 15/2))) (* z (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (exp -15/2) (sqrt 15/2))) (* (exp -15/2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))))))
(+ (* 1106209385320415913103082059/4200000000000000000000000 (* (exp -15/2) (sqrt 15/2))) (* z (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (exp -15/2) (sqrt 15/2))) (+ (* z (+ (* 1106209385320415913103082059/8400000000000000000000000 (* (exp -15/2) (sqrt 15/2))) (+ (* (exp -15/2) (+ (* 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) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2))))))) (* (exp -15/2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2))))))))
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7827144361880981797/30000000000000000
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469507597606837/10000000000000
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(+ 469507597606837/10000000000000 (* z (+ 904338909853211/2500000000000 (* 2076511864126339/4000000000000 z))))
(+ 469507597606837/10000000000000 (* z (+ 904338909853211/2500000000000 (* z (+ 2076511864126339/4000000000000 (* 23912966683069397/40000000000000 z))))))
479507597606835099/10000000000000000
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(/ (PI) (sin (* z (PI))))
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(* z (- (/ 1 z) 1))
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(+ (* -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)))))))
(* (exp (* (log (- 15/2 z)) (- 1/2 z))) (exp (- z 15/2)))
(* 9999999999998099/10000000000000000 (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (exp (- z 15/2))))
(+ (* -611458333333720910362579/25000000000000000000000 (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (exp (- z 15/2))) z)) (* 9999999999998099/10000000000000000 (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (exp (- z 15/2)))))
(+ (* -611458333333720910362579/25000000000000000000000 (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (exp (- z 15/2))) z)) (+ (* 9999999999998099/10000000000000000 (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (exp (- z 15/2)))) (* 1078390842009938509147167/6250000000000000000000 (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (exp (- z 15/2))) (pow z 2)))))
(+ (* -398308844029173303716389/6250000000000000000000 (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (exp (- z 15/2))) (pow z 3))) (+ (* -611458333333720910362579/25000000000000000000000 (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (exp (- z 15/2))) z)) (+ (* 9999999999998099/10000000000000000 (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (exp (- z 15/2)))) (* 1078390842009938509147167/6250000000000000000000 (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (exp (- z 15/2))) (pow z 2))))))
9999999999998099/10000000000000000
(- 9999999999998099/10000000000000000 (* 30223877537487/2500000000000 (/ 1 z)))
(- (+ 9999999999998099/10000000000000000 (/ 585619739096309/2500000000000 (pow z 2))) (* 30223877537487/2500000000000 (/ 1 z)))
(- (+ 9999999999998099/10000000000000000 (+ (* 1219830531815489/5000000000000 (/ 1 (pow z 3))) (/ 585619739096309/2500000000000 (pow z 2)))) (* 30223877537487/2500000000000 (/ 1 z)))
(/ 5826188486005177/10000000000000 z)
(/ (+ 5826188486005177/10000000000000 (* 3683516130645841/2000000000000 (/ 1 z))) z)
(/ (+ 5826188486005177/10000000000000 (+ (* 3683516130645841/2000000000000 (/ 1 z)) (/ 43600364987677261/10000000000000 (pow z 2)))) z)
(/ (+ 5826188486005177/10000000000000 (+ (* 3683516130645841/2000000000000 (/ 1 z)) (+ (* 93965933656573373/10000000000000 (/ 1 (pow z 3))) (/ 43600364987677261/10000000000000 (pow z 2))))) z)
(+ 9999999999998099/10000000000000000 (* 5826188486005177/10000000000000 (/ 1 z)))
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(+ 9999999999998099/10000000000000000 (+ (* 5826188486005177/10000000000000 (/ 1 z)) (+ (* 43600364987677261/10000000000000 (/ 1 (pow z 3))) (/ 3683516130645841/2000000000000 (pow z 2)))))
(* -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))))
(* -1 (* z (- 1 (* 7 (/ 1 z)))))
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(+ (* -611458333333720910362579/25000000000000000000000 (* (/ (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))) (* z (sin (* z (PI))))) (sqrt (pow (PI) 3)))) (* 9999999999998099/10000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))) (sin (* z (PI)))))))
(+ (* -1 (/ (+ (* -1078390842009938509147167/6250000000000000000000 (* (/ (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))) (* z (sin (* z (PI))))) (sqrt (pow (PI) 3)))) (* 611458333333720910362579/25000000000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))) (sin (* z (PI))))))) z)) (* 9999999999998099/10000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))) (sin (* z (PI)))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -398308844029173303716389/6250000000000000000000 (* (/ (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))) (* z (sin (* z (PI))))) (sqrt (pow (PI) 3)))) (* 1078390842009938509147167/6250000000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))) (sin (* z (PI))))))) z)) (* 611458333333720910362579/25000000000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))) (sin (* z (PI))))))) z)) (* 9999999999998099/10000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))) (sin (* z (PI)))))))
(* -1 (* z (- 1 (* 1/2 (/ 1 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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(* (exp (neg (+ 15/2 (* -1 z)))) (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))))
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(+ (* -1 (/ (+ (* -1078390842009938509147167/6250000000000000000000 (/ (* (exp (neg (+ 15/2 (* -1 z)))) (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z))))) z)) (* 611458333333720910362579/25000000000000000000000 (* (exp (neg (+ 15/2 (* -1 z)))) (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z))))))) z)) (* 9999999999998099/10000000000000000 (* (exp (neg (+ 15/2 (* -1 z)))) (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -398308844029173303716389/6250000000000000000000 (/ (* (exp (neg (+ 15/2 (* -1 z)))) (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z))))) z)) (* 1078390842009938509147167/6250000000000000000000 (* (exp (neg (+ 15/2 (* -1 z)))) (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z))))))) z)) (* 611458333333720910362579/25000000000000000000000 (* (exp (neg (+ 15/2 (* -1 z)))) (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z))))))) z)) (* 9999999999998099/10000000000000000 (* (exp (neg (+ 15/2 (* -1 z)))) (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))))))
(+ 9999999999998099/10000000000000000 (* -1 (/ (- 30223877537487/2500000000000 (* 585619739096309/2500000000000 (/ 1 z))) z)))
(+ 9999999999998099/10000000000000000 (* -1 (/ (+ 30223877537487/2500000000000 (* -1 (/ (+ 585619739096309/2500000000000 (* 1219830531815489/5000000000000 (/ 1 z))) z))) z)))
(* -1 (/ (- (* -1 (/ (+ 3683516130645841/2000000000000 (* 43600364987677261/10000000000000 (/ 1 z))) z)) 5826188486005177/10000000000000) z))
(* -1 (/ (- (* -1 (/ (+ 3683516130645841/2000000000000 (+ (* 43600364987677261/10000000000000 (/ 1 z)) (/ 93965933656573373/10000000000000 (pow z 2)))) z)) 5826188486005177/10000000000000) z))
(+ 9999999999998099/10000000000000000 (* -1 (/ (- (* -1 (/ (+ 3683516130645841/2000000000000 (* 43600364987677261/10000000000000 (/ 1 z))) z)) 5826188486005177/10000000000000) z)))

Outputs
(* -1 z)
(neg.f64 z)
15/2
#s(literal 15/2 binary64)
(+ 15/2 (* -1 z))
(-.f64 #s(literal 15/2 binary64) z)
(* (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 (sqrt.f64 (PI.f64)) (fma.f64 (.f64 (.f64 (exp.f64 #s(literal -15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (-.f64 (neg.f64 (log.f64 #s(literal 15/2 binary64))) #s(literal 1/15 binary64)) (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 15/2 binary64)))) z (.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 #s(literal -15/2 binary64)))))
(+ (* z (+ (* (sqrt (PI)) (+ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15)))))) (* (* z (+ (* 1/2 (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))) (+ (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2)))))) (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))))))) (sqrt (PI))))) (* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))))
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(* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))))
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(* (exp -15/2) (sqrt 15/2))
(*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (exp.f64 #s(literal -15/2 binary64)))
(+ (* z (+ (* (exp -15/2) (sqrt 15/2)) (* (exp -15/2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))))) (* (exp -15/2) (sqrt 15/2)))
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(* 1106209385320415913103082059/4200000000000000000000000 (* (exp -15/2) (sqrt 15/2)))
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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 #s(literal -15/2 binary64) z)) (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 (.f64 #s(literal 611458333333720910362579/25000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (.f64 (exp.f64 (+.f64 #s(literal -15/2 binary64) z)) (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 -398308844029173303716389/6250000000000000000000 binary64) (sqrt.f64 (PI.f64))) (.f64 (exp.f64 (+.f64 #s(literal -15/2 binary64) z)) (/.f64 (.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (sqrt.f64 #s(literal 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 #s(literal -15/2 binary64) z)))) (neg.f64 z))) (neg.f64 z)))
(* (exp (neg (+ 15/2 (* -1 z)))) (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))))
(*.f64 (exp.f64 (+.f64 #s(literal -15/2 binary64) z)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))
(* 9999999999998099/10000000000000000 (* (exp (neg (+ 15/2 (* -1 z)))) (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z))))))
(.f64 (.f64 #s(literal 9999999999998099/10000000000000000 binary64) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (+.f64 #s(literal -15/2 binary64) z)))
(+ (* -611458333333720910362579/25000000000000000000000 (/ (* (exp (neg (+ 15/2 (* -1 z)))) (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z))))) z)) (* 9999999999998099/10000000000000000 (* (exp (neg (+ 15/2 (* -1 z)))) (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))))))
(fma.f64 (.f64 #s(literal -611458333333720910362579/25000000000000000000000 binary64) (exp.f64 (+.f64 #s(literal -15/2 binary64) z))) (/.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) z) (.f64 (*.f64 #s(literal 9999999999998099/10000000000000000 binary64) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (+.f64 #s(literal -15/2 binary64) z))))
(+ (* -1 (/ (+ (* -1078390842009938509147167/6250000000000000000000 (/ (* (exp (neg (+ 15/2 (* -1 z)))) (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z))))) z)) (* 611458333333720910362579/25000000000000000000000 (* (exp (neg (+ 15/2 (* -1 z)))) (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z))))))) z)) (* 9999999999998099/10000000000000000 (* (exp (neg (+ 15/2 (* -1 z)))) (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))))))
(fma.f64 (.f64 #s(literal 9999999999998099/10000000000000000 binary64) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (+.f64 #s(literal -15/2 binary64) z)) (/.f64 (fma.f64 (.f64 #s(literal -1078390842009938509147167/6250000000000000000000 binary64) (exp.f64 (+.f64 #s(literal -15/2 binary64) z))) (/.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) z) (.f64 (.f64 #s(literal 611458333333720910362579/25000000000000000000000 binary64) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (+.f64 #s(literal -15/2 binary64) z)))) (neg.f64 z)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -398308844029173303716389/6250000000000000000000 (/ (* (exp (neg (+ 15/2 (* -1 z)))) (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z))))) z)) (* 1078390842009938509147167/6250000000000000000000 (* (exp (neg (+ 15/2 (* -1 z)))) (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z))))))) z)) (* 611458333333720910362579/25000000000000000000000 (* (exp (neg (+ 15/2 (* -1 z)))) (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z))))))) z)) (* 9999999999998099/10000000000000000 (* (exp (neg (+ 15/2 (* -1 z)))) (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))))))
(fma.f64 (.f64 #s(literal 9999999999998099/10000000000000000 binary64) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (+.f64 #s(literal -15/2 binary64) z)) (/.f64 (fma.f64 (.f64 #s(literal 611458333333720910362579/25000000000000000000000 binary64) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (+.f64 #s(literal -15/2 binary64) z)) (/.f64 (fma.f64 (.f64 #s(literal 1078390842009938509147167/6250000000000000000000 binary64) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (+.f64 #s(literal -15/2 binary64) z)) (.f64 (*.f64 #s(literal -398308844029173303716389/6250000000000000000000 binary64) (exp.f64 (+.f64 #s(literal -15/2 binary64) z))) (/.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) z))) (neg.f64 z))) (neg.f64 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))
(* -1 (/ (- (* -1 (/ (+ 3683516130645841/2000000000000 (* 43600364987677261/10000000000000 (/ 1 z))) z)) 5826188486005177/10000000000000) z))
(/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 43600364987677261/10000000000000 binary64) z) #s(literal -1 binary64) #s(literal -3683516130645841/2000000000000 binary64)) z) #s(literal 5826188486005177/10000000000000 binary64)) (neg.f64 z))
(* -1 (/ (- (* -1 (/ (+ 3683516130645841/2000000000000 (+ (* 43600364987677261/10000000000000 (/ 1 z)) (/ 93965933656573373/10000000000000 (pow z 2)))) z)) 5826188486005177/10000000000000) z))
(/.f64 (-.f64 (/.f64 (+.f64 (+.f64 #s(literal 3683516130645841/2000000000000 binary64) (/.f64 #s(literal 93965933656573373/10000000000000 binary64) (*.f64 z z))) (/.f64 #s(literal 43600364987677261/10000000000000 binary64) z)) (neg.f64 z)) #s(literal 5826188486005177/10000000000000 binary64)) (neg.f64 z))
(+ 9999999999998099/10000000000000000 (* -1 (/ (- (* -1 (/ (+ 3683516130645841/2000000000000 (* 43600364987677261/10000000000000 (/ 1 z))) z)) 5826188486005177/10000000000000) z)))
(-.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 43600364987677261/10000000000000 binary64) z) #s(literal -1 binary64) #s(literal -3683516130645841/2000000000000 binary64)) z) #s(literal 5826188486005177/10000000000000 binary64)) z))

rewrite327.0ms (1.3%)

Memory

-26.8MiB live, 368.0MiB allocated; 47ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	162	778
0	263	670
1	1217	670
0	8068	670

Stop Event

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

Counts

26 → 304

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

Outputs
(/.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 (-.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 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) #s(literal 1 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 (-.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 (fma.f64 (-.f64 #s(literal 99999999999961980000000003613801/100000000000000000000000000000000 binary64) (pow.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 2 binary64) (+.f64 z #s(literal 1 binary64)))) #s(literal 2 binary64))) (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) (.f64 (-.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 2 binary64) (+.f64 z #s(literal 1 binary64))))) #s(literal 3147848041806007/2500000000000 binary64))) (.f64 (-.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 2 binary64) (+.f64 z #s(literal 1 binary64))))) (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))))
(/.f64 (fma.f64 (-.f64 #s(literal 99999999999961980000000003613801/100000000000000000000000000000000 binary64) (pow.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 2 binary64) (+.f64 z #s(literal 1 binary64)))) #s(literal 2 binary64))) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (.f64 (-.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 2 binary64) (+.f64 z #s(literal 1 binary64))))) #s(literal -3147848041806007/2500000000000 binary64))) (.f64 (-.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 2 binary64) (+.f64 z #s(literal 1 binary64))))) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))))
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(/.f64 (fma.f64 (+.f64 #s(literal 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 binary64) (pow.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 2 binary64) (+.f64 z #s(literal 1 binary64)))) #s(literal 3 binary64))) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (.f64 (+.f64 #s(literal 99999999999961980000000003613801/100000000000000000000000000000000 binary64) (-.f64 (pow.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 2 binary64) (+.f64 z #s(literal 1 binary64)))) #s(literal 2 binary64)) (.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 2 binary64) (+.f64 z #s(literal 1 binary64))))))) #s(literal -3147848041806007/2500000000000 binary64))) (.f64 (+.f64 #s(literal 99999999999961980000000003613801/100000000000000000000000000000000 binary64) (-.f64 (pow.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 2 binary64) (+.f64 z #s(literal 1 binary64)))) #s(literal 2 binary64)) (.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 2 binary64) (+.f64 z #s(literal 1 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 2 binary64) (+.f64 z #s(literal 1 binary64)))) #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 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 2 binary64) (+.f64 z #s(literal 1 binary64)))) #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 2 binary64) (+.f64 z #s(literal 1 binary64)))) #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))) (+.f64 (pow.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 2 binary64) (+.f64 z #s(literal 1 binary64)))) #s(literal 9999999999998099/10000000000000000 binary64)) #s(literal 2 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 2 binary64) (+.f64 z #s(literal 1 binary64)))) #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 2 binary64) (+.f64 z #s(literal 1 binary64)))) #s(literal 9999999999998099/10000000000000000 binary64)) #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 2 binary64) (+.f64 z #s(literal 1 binary64)))) #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 2 binary64) (+.f64 z #s(literal 1 binary64)))) #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 2 binary64) (+.f64 z #s(literal 1 binary64)))) #s(literal 9999999999998099/10000000000000000 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 2 binary64) (+.f64 z #s(literal 1 binary64)))) #s(literal 9999999999998099/10000000000000000 binary64)) #s(literal 2 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 2 binary64) (+.f64 z #s(literal 1 binary64)))) #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 3 binary64)) (+.f64 (pow.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 2 binary64) (+.f64 z #s(literal 1 binary64)))) #s(literal 9999999999998099/10000000000000000 binary64)) #s(literal 2 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 2 binary64) (+.f64 z #s(literal 1 binary64)))) #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 2 binary64) (+.f64 z #s(literal 1 binary64)))) #s(literal 9999999999998099/10000000000000000 binary64)))
(+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 2 binary64) (+.f64 z #s(literal 1 binary64)))) #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 2 binary64) (+.f64 z #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))))

eval368.0ms (1.4%)

Memory: 19.1MiB live, 545.0MiB allocated; 61ms collecting garbage
Compiler: Compiled 173 543 to 6 791 computations (96.1% saved)

prune128.0ms (0.5%)

Memory

-6.8MiB live, 132.1MiB allocated; 6ms collecting garbage

Pruning

31 alts after pruning (31 fresh and 0 done)

	Pruned	Kept	Total
New	1 212	27	1 239
Fresh	9	4	13
Picked	5	0	5
Done	0	0	0
Total	1 226	31	1 257

Accuracy

100.0%

Counts

1 257 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.1%	(/.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 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64)))))) (sin.f64 (.f64 (PI.f64) z)))
	5.4%	(/.f64 (neg.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 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))))))) (sin.f64 (fma.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 (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 #s(literal 2 binary64) (+.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 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))))))
	95.3%	(.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))))))
	97.1%	(.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))))))
	97.5%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) z))) (.f64 (.f64 (.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.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))))))
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	98.0%	(.f64 #s(approx (/ (PI) (sin ( (PI) z))) (/.f64 #s(literal 1 binary64) z)) (.f64 (.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.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))))))
	96.0%	(.f64 #s(approx (/ (PI) (sin ( (PI) z))) (/.f64 #s(literal 1 binary64) 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 #s(literal 2 binary64) (+.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 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
▶	96.4%	(.f64 #s(approx (/ (PI) (sin ( (PI) z))) (/.f64 #s(literal 1 binary64) 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 (/.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))))))
	97.1%	(.f64 #s(approx (/ (PI) (sin ( (PI) z))) (/.f64 #s(literal 1 binary64) z)) (.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (.f64 (exp.f64 (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)))) (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)))) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -7 binary64))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -5 binary64))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -4 binary64))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) #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))))))))))))
	96.1%	(.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))))))
▶	96.7%	#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 #s(literal 1106209385320415913103082059/4200000000000000000000000 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))) z)))

Compiler

Compiled 8 324 to 4 656 computations (44.1% saved)

simplify140.0ms (0.5%)

Memory

9.2MiB live, 105.6MiB allocated; 12ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	2	(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))
cost-diff	2	(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -7 binary64))
cost-diff	2	(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))
cost-diff	2	(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64))
cost-diff	2	(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64))
cost-diff	2	(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
cost-diff	2	(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64))
cost-diff	2	(+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))
cost-diff	0	(PI.f64)
cost-diff	0	(/.f64 (PI.f64) (sin.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) z)))
cost-diff	0	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) z))) #s(approx ( (* (* (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	4	(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
cost-diff	0	(sqrt.f64 (PI.f64))
cost-diff	0	(*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64)))
cost-diff	0	(.f64 (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 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))) 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 #s(literal 1106209385320415913103082059/4200000000000000000000000 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))) z)))
cost-diff	2	(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64))
cost-diff	2	(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
cost-diff	2	(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64))
cost-diff	2	(+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	186	3333
0	309	2925
1	619	2819
2	2120	2290
3	7301	2290
0	8819	2290

Stop Event

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

Calls

Call 1

Inputs
(.f64 #s(approx (/ (PI) (sin ( (PI) z))) (/.f64 (fma.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 z z)) (PI.f64)) (PI.f64) #s(literal 1 binary64)) z)) (.f64 (.f64 (.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.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))))))
#s(approx (/ (PI) (sin (* (PI) z))) (/.f64 (fma.f64 (.f64 (.f64 #s(literal 1/6 binary64) (*.f64 z z)) (PI.f64)) (PI.f64) #s(literal 1 binary64)) z))
(/.f64 (fma.f64 (.f64 (.f64 #s(literal 1/6 binary64) (*.f64 z z)) (PI.f64)) (PI.f64) #s(literal 1 binary64)) z)
(fma.f64 (.f64 (.f64 #s(literal 1/6 binary64) (*.f64 z z)) (PI.f64)) (PI.f64) #s(literal 1 binary64))
(.f64 (.f64 #s(literal 1/6 binary64) (*.f64 z z)) (PI.f64))
(.f64 #s(literal 1/6 binary64) (.f64 z z))
#s(literal 1/6 binary64)
(*.f64 z z)
z
(PI.f64)
#s(literal 1 binary64)
(.f64 (.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.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)))))
(.f64 (.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.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 (sqrt.f64 (PI.f64)) (sqrt.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))))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 (PI.f64))
(sqrt.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 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 #s(literal 1 binary64) z) #s(literal -2 binary64))
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(fma.f64 (fma.f64 #s(literal 23912966683069397/40000000000000 binary64) z #s(literal 2076511864126339/4000000000000 binary64)) z #s(literal 904338909853211/2500000000000 binary64))
(fma.f64 #s(literal 23912966683069397/40000000000000 binary64) z #s(literal 2076511864126339/4000000000000 binary64))
#s(literal 23912966683069397/40000000000000 binary64)
#s(literal 2076511864126339/4000000000000 binary64)
#s(literal 904338909853211/2500000000000 binary64)
#s(literal 479507597606835099/10000000000000000 binary64)

Outputs
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(/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64)))
(/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z))
#s(literal -883075145810703/5000000000000 binary64)
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64))
(-.f64 #s(literal 4 binary64) z)
#s(literal -3 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 (fma.f64 #s(literal 23912966683069397/40000000000000 binary64) z #s(literal 2076511864126339/4000000000000 binary64)) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))))
(+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) #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 #s(literal 1 binary64) z) #s(literal -2 binary64)))
(/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))
#s(literal 7713234287776531/10000000000000 binary64)
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))
(-.f64 #s(literal 3 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 (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)))
(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))
(fma.f64 (fma.f64 #s(literal 23912966683069397/40000000000000 binary64) z #s(literal 2076511864126339/4000000000000 binary64)) z #s(literal 904338909853211/2500000000000 binary64))
(fma.f64 #s(literal 23912966683069397/40000000000000 binary64) z #s(literal 2076511864126339/4000000000000 binary64))
#s(literal 23912966683069397/40000000000000 binary64)
#s(literal 2076511864126339/4000000000000 binary64)
#s(literal 904338909853211/2500000000000 binary64)
#s(literal 479507597606835099/10000000000000000 binary64)

localize1.4s (5.6%)

Memory

6.1MiB live, 1 399.7MiB allocated; 214ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.95703125	(+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) #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)))))
accuracy	0.96875	(*.f64 (exp.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 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -7 binary64))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -5 binary64))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -4 binary64))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) #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))))))))))
accuracy	1.0	(sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))
accuracy	1.5474448737314046	(exp.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)))))
accuracy	1.0792196877997982	(+.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)))
accuracy	1.17578125	(.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	1.49710716262647	#s(approx (+ (+ (- (- 1 z) 1) 7) 1/2) #s(literal 15/2 binary64))
accuracy	58.33204823661628	(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
accuracy	0.37890625	(.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))))))
accuracy	1.0	(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
accuracy	1.0	(sqrt.f64 (PI.f64))
accuracy	1.602747285832018	#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	0.332695019536884	(.f64 (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 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))) z))
accuracy	0.5234375	(/.f64 (.f64 (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 #s(literal -15/2 binary64))) z)
accuracy	1.0	(sqrt.f64 (PI.f64))
accuracy	1.597170345211685	#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 #s(literal 1106209385320415913103082059/4200000000000000000000000 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))) z)))
accuracy	0.95703125	(.f64 (.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.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)))))
accuracy	1.0	(sqrt.f64 (PI.f64))
accuracy	1.17578125	(.f64 (.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.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	58.33204823661628	(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))

Samples

633.0ms	171×	1	valid
496.0ms	79×	2	valid
17.0ms	6×	0	valid

Compiler

Compiled 3 055 to 152 computations (95% saved)

Precisions

Click to see histograms. Total time spent on operations: 957.0ms

adjust: 362.0ms (37.8% of total)

ival-sub: 134.0ms (14% of total)

ival-mult: 91.0ms (9.5% of total)

ival-add: 90.0ms (9.4% of total)

const: 85.0ms (8.9% of total)

ival-div: 68.0ms (7.1% of total)

ival-pi: 44.0ms (4.6% of total)

ival-sqrt: 33.0ms (3.4% of total)

ival-exp: 15.0ms (1.6% of total)

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

ival-log: 8.0ms (0.8% of total)

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

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

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

exact: 3.0ms (0.3% of total)

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

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

series23.0ms (0.1%)

Memory

-5.6MiB live, 38.7MiB allocated; 7ms collecting garbage

Counts

27 → 91

Calls

Call 1

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

Outputs
15/2
(+ 15/2 (* -1 z))
7
(+ 7 (* -1 z))
(* -1 z)
1/2
(+ 1/2 (* -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)
8
(+ 8 (* -1 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)))))
(* 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))))))))))
(/ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) z)
469507597606837/10000000000000
(+ 469507597606837/10000000000000 (* 904338909853211/2500000000000 z))
(+ 469507597606837/10000000000000 (* z (+ 904338909853211/2500000000000 (* 2076511864126339/4000000000000 z))))
(+ 469507597606837/10000000000000 (* z (+ 904338909853211/2500000000000 (* z (+ 2076511864126339/4000000000000 (* 23912966683069397/40000000000000 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)))))))
(* 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))))))))))
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(/ (+ 5826188486005177/10000000000000 (* 3683516130645841/2000000000000 (/ 1 z))) z)
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(+ 9999999999998099/10000000000000000 (* -1 (/ (- 30223877537487/2500000000000 (* 585619739096309/2500000000000 (/ 1 z))) z)))
(+ 9999999999998099/10000000000000000 (* -1 (/ (+ 30223877537487/2500000000000 (* -1 (/ (+ 585619739096309/2500000000000 (* 1219830531815489/5000000000000 (/ 1 z))) z))) z)))

Calls

3 calls:

Time

Variable

Point

Expression

5.0ms

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

4.0ms

inf

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4.0ms

-inf

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

simplify231.0ms (0.9%)

Memory

-20.2MiB live, 316.3MiB allocated; 28ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	526	3695
1	1934	3409
0	8259	3240

Stop Event

1×	iter limit
1×	node limit

Counts

91 → 91

Calls

Call 1

Inputs
15/2
(+ 15/2 (* -1 z))
7
(+ 7 (* -1 z))
(* -1 z)
1/2
(+ 1/2 (* -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)
8
(+ 8 (* -1 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)))))
(* 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))))
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469507597606837/10000000000000
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(/ 5826188486005177/10000000000000 z)
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Outputs
15/2
#s(literal 15/2 binary64)
(+ 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)
(* -1 z)
(neg.f64 z)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1 z))
(-.f64 #s(literal 1/2 binary64) z)
(* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) z) (sqrt (PI))))
(/.f64 (.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))) (exp.f64 #s(literal -15/2 binary64)))) z)
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(fma.f64 (/.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) #s(literal 611458333333720910362579/25000000000000000000000 binary64) (/.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) z) #s(literal -398308844029173303716389/6250000000000000000000 binary64) (*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) #s(literal 1078390842009938509147167/6250000000000000000000 binary64))) (neg.f64 z))) (neg.f64 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))

rewrite208.0ms (0.8%)

Memory

14.4MiB live, 252.3MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	162	899
0	262	754
1	1197	754
0	8093	754

Stop Event

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

Counts

27 → 334

Calls

Call 1

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

Outputs
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))))
(/.f64 (-.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 225/4 binary64)) (-.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 15/2 binary64)))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))))))
(/.f64 (+.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 3375/8 binary64)) (+.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 225/4 binary64) (*.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 15/2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64)) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64)) #s(literal 1/2 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)) (-.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64)) #s(literal 1/2 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)) (+.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64)) #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64)) #s(literal 2 binary64)) (-.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64)) #s(literal 1/2 binary64))))
(+.f64 (/.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64)) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/8 binary64) (+.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64)) #s(literal 1/2 binary64))))))
(+.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64)))
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64)) #s(literal 1/2 binary64))
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 15/2 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 z #s(literal -6 binary64)) (+.f64 z #s(literal -6 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 z #s(literal -6 binary64))))
(/.f64 (-.f64 #s(literal 49 binary64) (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 7 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 z #s(literal -6 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 z #s(literal -6 binary64)) (+.f64 z #s(literal -6 binary64)) (*.f64 #s(literal 1 binary64) (+.f64 z #s(literal -6 binary64))))))
(/.f64 (+.f64 #s(literal 343 binary64) (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 49 binary64) (-.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 7 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) #s(literal 36 binary64))) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 49 binary64))) (neg.f64 (-.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) #s(literal -216 binary64))) (neg.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) (+.f64 #s(literal 36 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 343 binary64))) (neg.f64 (+.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 49 binary64) (*.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64))))))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) #s(literal 36 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64)))
(/.f64 (-.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 49 binary64)) (-.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))
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(+.f64 (/.f64 (pow.f64 (+.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 (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)))) #s(literal 3 binary64)) (+.f64 (pow.f64 (+.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 (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)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64))) #s(literal 2 binary64)) (.f64 (+.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 (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 -883075145810703/5000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64))))))) (/.f64 (pow.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (+.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 (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)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64))) #s(literal 2 binary64)) (.f64 (+.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 (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 -883075145810703/5000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64))))))))
(+.f64 (/.f64 (pow.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (+.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 (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)))) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) #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 (pow.f64 (+.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 (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)))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (+.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 (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)))) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) #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)))))))))
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(+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) #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 (+.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 (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 -883075145810703/5000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64))))
(+.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 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64)))))

eval281.0ms (1.1%)

Memory: 1.0MiB live, 245.4MiB allocated; 28ms collecting garbage
Compiler: Compiled 118 406 to 4 963 computations (95.8% saved)

prune286.0ms (1.1%)

Memory

-8.6MiB live, 185.6MiB allocated; 7ms collecting garbage

Pruning

35 alts after pruning (35 fresh and 0 done)

	Pruned	Kept	Total
New	751	19	770
Fresh	10	16	26
Picked	5	0	5
Done	0	0	0
Total	766	35	801

Accuracy

100.0%

Counts

801 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.1%	(/.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)))
	5.4%	(/.f64 (neg.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 (fma.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 (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 #s(literal 2 binary64) (+.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 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))))))
	95.3%	(.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))))))
	97.1%	(.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 (exp.f64 #s(literal -15/2 binary64)) (sqrt.f64 #s(literal 15 binary64))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))))
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	96.1%	#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)) (sqrt.f64 #s(literal 15 binary64))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))) z))
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	96.8%	#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 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 #s(literal 15 binary64)) (/.f64 (exp.f64 #s(literal -15/2 binary64)) z)))))

Compiler

Compiled 15 231 to 3 299 computations (78.3% saved)

regimes76.0ms (0.3%)

Memory

13.1MiB live, 59.7MiB allocated; 1ms collecting garbage

Counts

79 → 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 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (.f64 (sqrt.f64 (PI.f64)) (*.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 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (/.f64 (*.f64 (exp.f64 #s(literal -15/2 binary64)) (sqrt.f64 #s(literal 15 binary64))) z)))
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Outputs

(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (hypot.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 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))))))

Calls

2 calls:

46.0ms

19.0ms

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

Results

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

Compiler

Compiled 124 to 61 computations (50.8% saved)

regimes108.0ms (0.4%)

Memory

22.3MiB live, 94.2MiB allocated; 7ms collecting garbage

Counts

78 → 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 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (.f64 (sqrt.f64 (PI.f64)) (*.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 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (/.f64 (*.f64 (exp.f64 #s(literal -15/2 binary64)) (sqrt.f64 #s(literal 15 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 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (*.f64 (sqrt.f64 #s(literal 15 binary64)) (/.f64 (exp.f64 #s(literal -15/2 binary64)) z))))
#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)) (sqrt.f64 #s(literal 15 binary64))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 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 #s(literal 1106209385320415913103082059/4200000000000000000000000 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))) 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))))))
(.f64 #s(approx (/ (PI) (sin ( (PI) z))) (/.f64 (fma.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 z z)) (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))))))
(.f64 #s(approx (/ (PI) (sin ( (* (sqrt (PI)) (sqrt (PI))) z))) (/.f64 (fma.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 z z)) (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 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (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))) z)))
(/.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 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64)))))) (sin.f64 (.f64 (PI.f64) z)))
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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 (fma.f64 (-.f64 (pow.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) #s(literal 99999999999961980000000003613801/100000000000000000000000000000000 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (.f64 (-.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)) #s(literal -3147848041806007/2500000000000 binary64))) (.f64 (-.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 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 (exp.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 (log.f64 (PI.f64)) #s(literal 3/2 binary64)) (log.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 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (fma.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 #s(literal 8 binary64) (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (-.f64 (+.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)))) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
(.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 (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 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (.f64 (+.f64 (pow.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) (-.f64 #s(literal 99999999999961980000000003613801/100000000000000000000000000000000 binary64) (/.f64 #s(literal 67652036812175649347802002964249/100000000000000000000000000000 binary64) (-.f64 #s(literal 1 binary64) z)))) #s(literal -3147848041806007/2500000000000 binary64))) (.f64 (+.f64 (pow.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) (-.f64 #s(literal 99999999999961980000000003613801/100000000000000000000000000000000 binary64) (/.f64 #s(literal 67652036812175649347802002964249/100000000000000000000000000000 binary64) (-.f64 #s(literal 1 binary64) z)))) (-.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))))))

Outputs

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

Calls

2 calls:

43.0ms

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

18.0ms

Results

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

Compiler

Compiled 124 to 61 computations (50.8% saved)

regimes81.0ms (0.3%)

Memory

-21.9MiB live, 66.5MiB allocated; 28ms collecting garbage

Counts

40 → 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 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 #s(literal 15 binary64)) (/.f64 (exp.f64 #s(literal -15/2 binary64)) z)))))
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Outputs

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Calls

2 calls:

38.0ms

(*.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))))))

37.0ms

Results

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

Compiler

Compiled 124 to 61 computations (50.8% saved)

regimes20.0ms (0.1%)

Memory

18.1MiB live, 18.1MiB allocated; 0ms collecting garbage

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

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

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))))))

8.0ms

Results

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

Compiler

Compiled 124 to 61 computations (50.8% saved)

regimes19.0ms (0.1%)

Memory

17.9MiB live, 17.9MiB allocated; 0ms collecting garbage

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

Outputs

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

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

Compiler

Compiled 124 to 61 computations (50.8% saved)

regimes53.0ms (0.2%)

Memory

-29.1MiB live, 17.5MiB allocated; 4ms collecting garbage

Counts

28 → 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 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (.f64 (sqrt.f64 (PI.f64)) (*.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 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (/.f64 (*.f64 (exp.f64 #s(literal -15/2 binary64)) (sqrt.f64 #s(literal 15 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 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (*.f64 (sqrt.f64 #s(literal 15 binary64)) (/.f64 (exp.f64 #s(literal -15/2 binary64)) z))))
#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)) (sqrt.f64 #s(literal 15 binary64))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 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 #s(literal 1106209385320415913103082059/4200000000000000000000000 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))) 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))))))
(.f64 #s(approx (/ (PI) (sin ( (PI) z))) (/.f64 (fma.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 z z)) (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 (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 #s(approx (+ (/ -3147848041806007/2500000000000 (- (- 1 z) -1)) (/ 6765203681218851/10000000000000 (- 1 z))) #s(literal 469507597606837/10000000000000 binary64)) #s(literal 9999999999998099/10000000000000000 binary64)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 #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))))))

Outputs

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

Calls

2 calls:

42.0ms

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

Compiler

Compiled 124 to 61 computations (50.8% saved)

regimes16.0ms (0.1%)

Memory

14.6MiB live, 14.6MiB allocated; 0ms collecting garbage

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 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (.f64 (sqrt.f64 (PI.f64)) (*.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 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (/.f64 (*.f64 (exp.f64 #s(literal -15/2 binary64)) (sqrt.f64 #s(literal 15 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 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (*.f64 (sqrt.f64 #s(literal 15 binary64)) (/.f64 (exp.f64 #s(literal -15/2 binary64)) z))))
#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)) (sqrt.f64 #s(literal 15 binary64))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 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 #s(literal 1106209385320415913103082059/4200000000000000000000000 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))) 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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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 (exp.f64 #s(literal -15/2 binary64)) (sqrt.f64 #s(literal 15 binary64))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))))

Calls

2 calls:

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))))))

6.0ms

Results

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

Compiler

Compiled 124 to 61 computations (50.8% saved)

regimes11.0ms (0%)

Memory

11.0MiB live, 11.0MiB allocated; 0ms collecting garbage

Counts

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

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 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (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))) z)))

Calls

2 calls:

5.0ms

(*.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))))))

4.0ms

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)

regimes8.0ms (0%)

Memory

8.5MiB live, 8.5MiB allocated; 0ms collecting garbage

Counts

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

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 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (*.f64 (sqrt.f64 #s(literal 15 binary64)) (/.f64 (exp.f64 #s(literal -15/2 binary64)) z))))

Calls

2 calls:

3.0ms

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

3.0ms

Results

Accuracy	Segments	Branch
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)

regimes27.0ms (0.1%)

Memory

-41.5MiB live, 5.2MiB allocated; 2ms collecting garbage

Accuracy

Total -0.2b remaining (-10.6%)

Threshold costs -0.2b (-10.6%)

Counts

2 → 1

Calls

Call 1

Inputs

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

Calls

2 calls:

2.0ms

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

1.0ms

Results

Accuracy	Segments	Branch
96.8%	1	`z`
96.8%	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)

simplify65.0ms (0.3%)

Memory

42.1MiB live, 42.1MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	244	1331
1	385	1313
2	897	1194
3	4894	1190

Stop Event

1×	node limit

Calls

Call 1

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

Outputs
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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 (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 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 #s(literal 15 binary64)) (/.f64 (exp.f64 #s(literal -15/2 binary64)) z)))))

derivations1.5s (6%)

Memory

10.7MiB live, 1 245.3MiB allocated; 259ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	113	378
0	187	312
1	761	287
2	6393	287
0	8650	287
0	148	479
1	510	434
2	2051	399
0	8159	376
0	327	1820
1	1201	1695
2	5424	1687
0	8488	1602
0	526	3695
1	1934	3409
0	8259	3240
0	567	4001
1	2115	3749
0	8829	3549
0	162	899
0	262	754
1	1197	754
0	8093	754
0	27	85
0	46	69
1	229	61
2	1835	61
0	9696	61
0	162	778
0	263	670
1	1217	670
0	8068	670

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×	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×	node limit
1×	iter limit

Compiler

Compiled 1 327 to 268 computations (79.8% saved)

preprocess132.0ms (0.5%)

Memory: 31.1MiB live, 289.5MiB allocated; 49ms collecting garbage
Compiler: Compiled 2 900 to 656 computations (77.4% saved)

end0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze960.0ms (3.8%)

sample11.0s (43.2%)

explain1.4s (5.6%)

preprocess177.0ms (0.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify158.0ms (0.6%)

localize397.0ms (1.6%)

series8.0ms (0%)

simplify168.0ms (0.7%)

rewrite202.0ms (0.8%)

eval154.0ms (0.6%)

prune70.0ms (0.3%)

simplify237.0ms (0.9%)

localize1.1s (4.1%)

series29.0ms (0.1%)

simplify263.0ms (1%)

rewrite261.0ms (1%)

eval512.0ms (2%)

prune102.0ms (0.4%)

simplify153.0ms (0.6%)

localize2.2s (8.8%)

series63.0ms (0.2%)

simplify270.0ms (1.1%)

rewrite327.0ms (1.3%)

eval368.0ms (1.4%)

prune128.0ms (0.5%)

simplify140.0ms (0.5%)

localize1.4s (5.6%)

series23.0ms (0.1%)

simplify231.0ms (0.9%)

rewrite208.0ms (0.8%)

eval281.0ms (1.1%)

prune286.0ms (1.1%)

regimes76.0ms (0.3%)

regimes108.0ms (0.4%)

regimes81.0ms (0.3%)

regimes20.0ms (0.1%)

regimes19.0ms (0.1%)

regimes53.0ms (0.2%)

regimes16.0ms (0.1%)

regimes11.0ms (0%)

regimes8.0ms (0%)

regimes27.0ms (0.1%)

simplify65.0ms (0.3%)

derivations1.5s (6%)

preprocess132.0ms (0.5%)

end0.0ms (0%)

Profiling