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

start0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

analyze2.1s (9.9%)

Memory

-57.4MiB live, 1 520.9MiB allocated; 1.7s 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)

sample8.0s (37.3%)

Memory

197.4MiB live, 11 192.8MiB allocated; 2.3s collecting garbage

Samples

4.2s	8 256×	valid
2.2s	3 885×	invalid
70.0ms	88×	exit

Precisions

Click to see histograms. Total time spent on operations: 5.9s

const: 1.8s (31% of total)

ival-add: 1.4s (23.4% of total)

ival-div: 798.0ms (13.4% of total)

ival-mult: 468.0ms (7.9% of total)

ival-pow: 355.0ms (6% of total)

ival-sinu: 321.0ms (5.4% of total)

ival-exp: 185.0ms (3.1% of total)

ival-sub: 154.0ms (2.6% of total)

ival-sqrt: 129.0ms (2.2% of total)

ival-neg: 113.0ms (1.9% of total)

ival-pi: 79.0ms (1.3% of total)

exact: 60.0ms (1% of total)

ival-<=: 41.0ms (0.7% of total)

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

adjust: 5.0ms (0.1% of total)

Bogosity

explain1.5s (6.9%)

Memory

51.4MiB live, 2 236.8MiB allocated; 390ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
249	0	-	0	-	`(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))`
4	0	-	0	-	`(sin.f64 (*.f64 (PI.f64) z))`
3	0	-	0	-	`(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)))))`
1	0	-	1	(-31.497562641231806)	`(exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))`
0	0	-	0	-	`(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64))`
0	2	(-31.497562641231806)	0	-	`(pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))`
0	0	-	0	-	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
0	0	-	0	-	`#s(literal 8 binary64)`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`#s(literal 3 binary64)`
0	0	-	0	-	`#s(literal 9999999999998099/10000000000000000 binary64)`
0	0	-	0	-	`(.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64))))`
0	0	-	0	-	`(+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64))))`
0	0	-	0	-	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64))))
0	0	-	0	-	`(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64))`
0	0	-	0	-	`#s(literal 7713234287776531/10000000000000 binary64)`
0	0	-	0	-	`(*.f64 (PI.f64) z)`
0	0	-	0	-	`#s(literal 1/2 binary64)`
0	0	-	0	-	`#s(literal 7 binary64)`
0	0	-	0	-	`(/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))`
0	0	-	0	-	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64))))
0	0	-	0	-	`(-.f64 #s(literal 1 binary64) z)`
0	0	-	0	-	`#s(literal 6765203681218851/10000000000000 binary64)`
0	0	-	0	-	`#s(literal 3764081837873279/25000000000000000000000 binary64)`
0	0	-	0	-	`z`
0	0	-	0	-	`(/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))`
0	0	-	0	-	(+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64))))
0	0	-	0	-	`(/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))`
0	0	-	0	-	`#s(literal 6 binary64)`
0	0	-	0	-	`(sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))`
0	0	-	0	-	`(neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)))`
0	0	-	0	-	`(+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64))))`
0	0	-	0	-	`#s(literal 2 binary64)`
0	0	-	0	-	`(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64))`
0	0	-	0	-	`(/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))`
0	0	-	0	-	`(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))`
0	0	-	0	-	`(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64))`
0	0	-	0	-	(+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64))))
0	0	-	0	-	`(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64))`
0	0	-	0	-	`#s(literal -883075145810703/5000000000000 binary64)`
0	0	-	0	-	`#s(literal 5 binary64)`
0	0	-	0	-	`(/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))`
0	0	-	0	-	`#s(literal -3147848041806007/2500000000000 binary64)`
0	0	-	0	-	`#s(literal -3464277381643003/25000000000000000 binary64)`
0	0	-	0	-	`#s(literal 2501468655737381/200000000000000 binary64)`
0	0	-	0	-	`(/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))`
0	0	-	0	-	`(+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))`
0	0	-	0	-	`(PI.f64)`
0	0	-	0	-	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64))))
0	0	-	0	-	`(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))`
0	0	-	0	-	`(*.f64 (PI.f64) #s(literal 2 binary64))`
0	0	-	0	-	`#s(literal 4 binary64)`
0	0	-	0	-	`#s(literal 2496092394504893/250000000000000000000 binary64)`
0	0	-	0	-	`(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64))`
0	0	-	0	-	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))
0	0	-	0	-	`(/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64)))`
0	0	-	0	-	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64)))))
0	0	-	0	-	`(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64))`
0	0	-	0	-	`(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64))`
0	0	-	0	-	`(/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))`	cancellation	27	0
`sin.f64`	`(sin.f64 (*.f64 (PI.f64) z))`	sensitivity	4	0
`*.f64`	`(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)))))`	*ou**	3	0
↳	`(.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64))))`	overflow	3
↳	`(pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))`	overflow	3
↳	`(exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))`	underflow	3
`pow.f64`	`(pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))`	sensitivity	2	0

Confusion

	Predicted +	Predicted -
+	5	0
-	27	224

Precision

0.15625

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	5	0	0
-	27	1	223

Precision?

0.15151515151515152

Recall?

1.0

Freqs

test

number	freq
0	224
1	28
2	4

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

395.0ms	334×	1	valid
305.0ms	156×	2	valid
13.0ms	22×	0	valid

Compiler

Compiled 1 913 to 184 computations (90.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 617.0ms

adjust: 235.0ms (38.1% of total)

ival-add: 104.0ms (16.8% of total)

const: 90.0ms (14.6% of total)

ival-div: 60.0ms (9.7% of total)

ival-mult: 52.0ms (8.4% of total)

ival-pow: 23.0ms (3.7% of total)

ival-sub: 16.0ms (2.6% of total)

ival-exp: 13.0ms (2.1% of total)

ival-sinu: 9.0ms (1.5% of total)

ival-neg: 5.0ms (0.8% of total)

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

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

exact: 2.0ms (0.3% of total)

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

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

preprocess243.0ms (1.1%)

Memory

5.7MiB live, 147.1MiB allocated; 42ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	62	227
1	165	215
2	644	179
3	5332	179
0	60	123
0	101	101
1	198	95
2	623	78
3	4578	78
0	8187	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 (/.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 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))) (exp.f64 (-.f64 #s(literal -15/2 binary64) (-.f64 #s(literal 0 binary64) z)))) (*.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)))))

Compiler

Compiled 123 to 60 computations (51.2% saved)

eval0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune2.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.2%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))

Status

Accuracy

Program

▶

96.2%

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

Compiler

Compiled 123 to 60 computations (51.2% saved)

series70.0ms (0.3%)

Memory

-17.9MiB live, 81.5MiB allocated; 20ms collecting garbage

Counts

60 → 254

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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Outputs
(* 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))))))))
z
(* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))))
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(* (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))))
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(* (sqrt (PI)) (* (sqrt 2) (sqrt 15/2)))
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(+ (* -611458333333720910362579/25000000000000000000000 (* (/ (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))) z) (sqrt (PI)))) (* 9999999999998099/10000000000000000 (* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))))
(+ (* -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))))))
(* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))
(* (sqrt (PI)) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)))
(exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z))))
(* -1 (* z (- 1 (* 15/2 (/ 1 z)))))
(* -1 (* z (- 1 (* 7 (/ 1 z)))))
(* -1 (* z (- 1 (/ 1 z))))
(* -1 (* z (- 1 (* 1/2 (/ 1 z)))))
(exp (neg (+ 15/2 (* -1 z))))
(* -1 (* z (- (* 15/2 (/ 1 z)) 1)))
(+ 9999999999998099/10000000000000000 (* -1 (/ (- 611458333333720910362579/25000000000000000000000 (* 1078390842009938509147167/6250000000000000000000 (/ 1 z))) z)))
(+ 9999999999998099/10000000000000000 (* -1 (/ (+ 611458333333720910362579/25000000000000000000000 (* -1 (/ (- 1078390842009938509147167/6250000000000000000000 (* 398308844029173303716389/6250000000000000000000 (/ 1 z))) z))) z)))
(+ 9999999999998099/10000000000000000 (* -1 (/ (- 6114583295696390724893/250000000000000000000 (* 43135633981524087395749/250000000000000000000 (/ 1 z))) z)))
(+ 9999999999998099/10000000000000000 (* -1 (/ (+ 6114583295696390724893/250000000000000000000 (* -1 (/ (- 43135633981524087395749/250000000000000000000 (* 15932351352154555909757/250000000000000000000 (/ 1 z))) z))) z)))
(+ 9999999999998099/10000000000000000 (* -1 (/ (- 305729039980199811/12500000000000000 (* 4313565145417084893/25000000000000000 (/ 1 z))) z)))
(+ 9999999999998099/10000000000000000 (* -1 (/ (+ 305729039980199811/12500000000000000 (* -1 (/ (- 4313565145417084893/25000000000000000 (* 1593222904362722517/25000000000000000 (/ 1 z))) z))) z)))
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(+ 9999999999998099/10000000000000000 (* -1 (/ (+ 4919378858736341/200000000000000 (* -1 (/ (- 6868447169803563/40000000000000 (* 2748699024162993/40000000000000 (/ 1 z))) z))) 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)))
(+ 9999999999998099/10000000000000000 (* -1 (/ (+ 943522900885677/5000000000000 (+ (* 1180530552525097/2500000000000 (/ 1 z)) (/ 12909371801155759/5000000000000 (pow z 2)))) z)))
(+ 9999999999998099/10000000000000000 (* -1 (/ (- (* -1 (/ (+ 3683516130645841/2000000000000 (* 43600364987677261/10000000000000 (/ 1 z))) z)) 5826188486005177/10000000000000) z)))
(+ 9999999999998099/10000000000000000 (* -1 (/ (+ 6765203681218851/10000000000000 (+ (* 6765203681218851/10000000000000 (/ 1 z)) (/ 6765203681218851/10000000000000 (pow z 2)))) z)))
(* -1 (/ (+ 6765203681218851/10000000000000 (+ (* 6765203681218851/10000000000000 (/ 1 z)) (/ 6765203681218851/10000000000000 (pow z 2)))) z))
(* -1 (/ (+ 6765203681218851/10000000000000 (* -1 (/ (- (* -1 (/ (+ 6765203681218851/10000000000000 (* 6765203681218851/10000000000000 (/ 1 z))) z)) 6765203681218851/10000000000000) z))) z))
(* -1 (/ (- (* -1 (/ (+ 3147848041806007/1250000000000 (* 3147848041806007/625000000000 (/ 1 z))) z)) 3147848041806007/2500000000000) z))
(* -1 (/ (- (* -1 (/ (+ 3147848041806007/1250000000000 (+ (* 3147848041806007/625000000000 (/ 1 z)) (/ 3147848041806007/312500000000 (pow z 2)))) z)) 3147848041806007/2500000000000) z))
(* -1 (* z (- 1 (* 2 (/ 1 z)))))
(* -1 (/ (+ 7713234287776531/10000000000000 (+ (* 23139702863329593/10000000000000 (/ 1 z)) (/ 69419108589988779/10000000000000 (pow z 2)))) z))
(* -1 (/ (+ 7713234287776531/10000000000000 (* -1 (/ (- (* -1 (/ (+ 69419108589988779/10000000000000 (* 208257325769966337/10000000000000 (/ 1 z))) z)) 23139702863329593/10000000000000) z))) z))
(* -1 (* z (- 1 (* 3 (/ 1 z)))))
(* -1 (/ (- (* -1 (/ (+ 883075145810703/1250000000000 (* 883075145810703/312500000000 (/ 1 z))) z)) 883075145810703/5000000000000) z))
(* -1 (/ (- (* -1 (/ (+ 883075145810703/1250000000000 (+ (* 883075145810703/312500000000 (/ 1 z)) (/ 883075145810703/78125000000 (pow z 2)))) z)) 883075145810703/5000000000000) z))
(* -1 (* z (- 1 (* 4 (/ 1 z)))))
(* -1 (/ (+ 2501468655737381/200000000000000 (+ (* 2501468655737381/40000000000000 (/ 1 z)) (/ 2501468655737381/8000000000000 (pow z 2)))) z))
(* -1 (/ (+ 2501468655737381/200000000000000 (* -1 (/ (- (* -1 (/ (+ 2501468655737381/8000000000000 (* 2501468655737381/1600000000000 (/ 1 z))) z)) 2501468655737381/40000000000000) z))) z))
(* -1 (* z (- 1 (* 5 (/ 1 z)))))
(* -1 (/ (- (* -1 (/ (+ 10392832144929009/12500000000000000 (* 31178496434787027/6250000000000000 (/ 1 z))) z)) 3464277381643003/25000000000000000) z))
(* -1 (/ (- (* -1 (/ (+ 10392832144929009/12500000000000000 (+ (* 31178496434787027/6250000000000000 (/ 1 z)) (/ 93535489304361081/3125000000000000 (pow z 2)))) z)) 3464277381643003/25000000000000000) z))
(* -1 (* z (- 1 (* 6 (/ 1 z)))))
(* -1 (/ (+ 2496092394504893/250000000000000000000 (+ (/ 122308527330739757/250000000000000000000 (pow z 2)) (* 17472646761534251/250000000000000000000 (/ 1 z)))) z))
(* -1 (/ (+ 2496092394504893/250000000000000000000 (* -1 (/ (- (* -1 (/ (+ 122308527330739757/250000000000000000000 (* 856159691315178299/250000000000000000000 (/ 1 z))) z)) 17472646761534251/250000000000000000000) z))) z))
(* -1 (/ (+ 3764081837873279/25000000000000000000000 (+ (/ 3764081837873279/390625000000000000000 (pow z 2)) (* 3764081837873279/3125000000000000000000 (/ 1 z)))) z))
(* -1 (/ (+ 3764081837873279/25000000000000000000000 (* -1 (/ (- (* -1 (/ (+ 3764081837873279/390625000000000000000 (* 3764081837873279/48828125000000000000 (/ 1 z))) z)) 3764081837873279/3125000000000000000000) z))) z))
(* -1 (* z (- 1 (* 8 (/ 1 z)))))

Calls

3 calls:

Time	Variable		Point	Expression
33.0ms	z	@	-inf	((* (/ (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)) (* (PI) z) z (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))) (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (sqrt (* (PI) 2)) (* (PI) 2) 2 (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2)) (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 7) (- (- 1 z) 1) (- 1 z) 1 7 1/2 (+ (- (- 1 z) 1) 1/2) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2))) (neg (+ (+ (- (- 1 z) 1) 7) 1/2)) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))) (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1)) 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2)) -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3)) 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3) 3 (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4)) -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4) 4 (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5)) 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5) 5 (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6)) -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6) 6 (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7)) 2496092394504893/250000000000000000000 (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)) 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8) 8)
17.0ms	z	@	0	((* (/ (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)) (* (PI) z) z (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))) (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (sqrt (* (PI) 2)) (* (PI) 2) 2 (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2)) (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 7) (- (- 1 z) 1) (- 1 z) 1 7 1/2 (+ (- (- 1 z) 1) 1/2) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2))) (neg (+ (+ (- (- 1 z) 1) 7) 1/2)) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))) (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1)) 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2)) -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3)) 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3) 3 (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4)) -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4) 4 (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5)) 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5) 5 (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6)) -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6) 6 (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7)) 2496092394504893/250000000000000000000 (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)) 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8) 8)
13.0ms	z	@	inf	((* (/ (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)) (* (PI) z) 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) 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6)) -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6) 6 (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7)) 2496092394504893/250000000000000000000 (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)) 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8) 8)

Time

Variable

Point

Expression

33.0ms

-inf

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6)) -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6) 6 (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7)) 2496092394504893/250000000000000000000 (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)) 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8) 8)

17.0ms

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13.0ms

inf

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6)) -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6) 6 (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7)) 2496092394504893/250000000000000000000 (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)) 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8) 8)

simplify232.0ms (1.1%)

Memory

6.7MiB live, 239.1MiB allocated; 72ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1116	4694
1	3875	4680
0	8353	4426

Stop Event

1×	iter limit
1×	node limit

Counts

254 → 253

Calls

Call 1

Inputs
(* 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))))))))
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))))))))))
(* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))))
(+ (* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))) (* (* z (+ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15)))))) (sqrt (PI))))
(+ (* z (+ (* (sqrt (PI)) (+ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15)))))) (* (* z (+ (* 1/2 (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))) (+ (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2)))))) (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))))))) (sqrt (PI))))) (* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))))
(+ (* z (+ (* z (+ (* (sqrt (PI)) (+ (* 1/2 (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))) (+ (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2)))))) (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))))))) (* (* z (+ (* 1/6 (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))) (+ (* 1/2 (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))))) (+ (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (+ 86/10125 (+ (* 29/225 (- (* -1 (log 15/2)) 1/15)) (* 1/6 (pow (- (* -1 (log 15/2)) 1/15) 3))))))) (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2)))))))))) (sqrt (PI))))) (* (sqrt (PI)) (+ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15)))))))) (* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))))
(* (sqrt (PI)) (* (sqrt 2) (sqrt 15/2)))
(+ (* (sqrt (PI)) (* (sqrt 2) (sqrt 15/2))) (* (* z (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15)))) (sqrt (PI))))
(+ (* z (+ (* (sqrt (PI)) (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15)))) (* (* z (* (sqrt 2) (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2)))))) (sqrt (PI))))) (* (sqrt (PI)) (* (sqrt 2) (sqrt 15/2))))
(+ (* z (+ (* z (+ (* (sqrt (PI)) (* (sqrt 2) (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2)))))) (* (* z (* (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))))))) (sqrt (PI))))) (* (sqrt (PI)) (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15)))))) (* (sqrt (PI)) (* (sqrt 2) (sqrt 15/2))))
(sqrt 15/2)
(+ (sqrt 15/2) (* z (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))))
(+ (sqrt 15/2) (* z (+ (* z (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15)))))
(+ (sqrt 15/2) (* z (+ (* z (+ (* z (* (sqrt 15/2) (+ 86/10125 (+ (* 29/225 (- (* -1 (log 15/2)) 1/15)) (* 1/6 (pow (- (* -1 (log 15/2)) 1/15) 3)))))) (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2)))))) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15)))))
15/2
(+ 15/2 (* -1 z))
7
(+ 7 (* -1 z))
(* -1 z)
1
(+ 1 (* -1 z))
1/2
(+ 1/2 (* -1 z))
(exp -15/2)
(+ (exp -15/2) (* z (exp -15/2)))
(+ (exp -15/2) (* z (+ (exp -15/2) (* 1/2 (* z (exp -15/2))))))
(+ (exp -15/2) (* z (+ (exp -15/2) (* z (+ (* 1/6 (* z (exp -15/2))) (* 1/2 (exp -15/2)))))))
-15/2
(- z 15/2)
1106209385320415913103082059/4200000000000000000000000
(+ 1106209385320415913103082059/4200000000000000000000000 (* 102757979785251069442117317613/235200000000000000000000000 z))
(+ 1106209385320415913103082059/4200000000000000000000000 (* z (+ 102757979785251069442117317613/235200000000000000000000000 (* 64608921419941589693928044520019/118540800000000000000000000000 z))))
(+ 1106209385320415913103082059/4200000000000000000000000 (* z (+ 102757979785251069442117317613/235200000000000000000000000 (* z (+ 64608921419941589693928044520019/118540800000000000000000000000 (* 4027292589444183035165374538123333/6638284800000000000000000000000 z))))))
1382761731551712743134679/5250000000000000000000
(+ 1382761731551712743134679/5250000000000000000000 (* 16055934341359023345617179/36750000000000000000000 z))
(+ 1382761731551712743134679/5250000000000000000000 (* z (+ 16055934341359023345617179/36750000000000000000000 (* 1261892996482553330703662111/2315250000000000000000000 z))))
(+ 1382761731551712743134679/5250000000000000000000 (* z (+ 16055934341359023345617179/36750000000000000000000 (* z (+ 1261892996482553330703662111/2315250000000000000000000 (* 19664514596894233501133157847/32413500000000000000000000 z))))))
9876869457595968283/37500000000000000
(+ 9876869457595968283/37500000000000000 (* 131068851705067315609/300000000000000000 z))
(+ 9876869457595968283/37500000000000000 (* z (+ 131068851705067315609/300000000000000000 (* 367898832774098786021/675000000000000000 z))))
(+ 9876869457595968283/37500000000000000 (* z (+ 131068851705067315609/300000000000000000 (* z (+ 367898832774098786021/675000000000000000 (* 65521081538557082921549/108000000000000000000 z))))))
7902188421553103227/30000000000000000
(+ 7902188421553103227/30000000000000000 (* 39321001939258358983/90000000000000000 z))
(+ 7902188421553103227/30000000000000000 (* z (+ 39321001939258358983/90000000000000000 (* 2943194126470171931171/5400000000000000000 z))))
(+ 7902188421553103227/30000000000000000 (* z (+ 39321001939258358983/90000000000000000 (* z (+ 2943194126470171931171/5400000000000000000 (* 196563279258445065194677/324000000000000000000 z))))))
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))))))
9151757080597036297/30000000000000000
(+ 9151757080597036297/30000000000000000 (* 40269435042492127/90000000000000 z))
(+ 9151757080597036297/30000000000000000 (* z (+ 40269435042492127/90000000000000 (* 295755570232608827/540000000000000 z))))
(+ 9151757080597036297/30000000000000000 (* z (+ 40269435042492127/90000000000000 (* z (+ 295755570232608827/540000000000000 (* 1967803238479727281/3240000000000000 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))))))
6775203681218849099/10000000000000000
(+ 6775203681218849099/10000000000000000 (* 6765203681218851/10000000000000 z))
(+ 6775203681218849099/10000000000000000 (* z (+ 6765203681218851/10000000000000 (* 6765203681218851/10000000000000 z))))
(+ 6775203681218849099/10000000000000000 (* z (+ 6765203681218851/10000000000000 (* z (+ 6765203681218851/10000000000000 (* 6765203681218851/10000000000000 z))))))
6765203681218851/10000000000000
(+ 6765203681218851/10000000000000 (* 6765203681218851/10000000000000 z))
(+ 6765203681218851/10000000000000 (* z (+ 6765203681218851/10000000000000 (* 6765203681218851/10000000000000 z))))
(+ 6765203681218851/10000000000000 (* z (+ 6765203681218851/10000000000000 (* z (+ 6765203681218851/10000000000000 (* 6765203681218851/10000000000000 z))))))
-3147848041806007/5000000000000
(- (* -3147848041806007/10000000000000 z) 3147848041806007/5000000000000)
(- (* z (- (* -3147848041806007/20000000000000 z) 3147848041806007/10000000000000)) 3147848041806007/5000000000000)
(- (* z (- (* z (- (* -3147848041806007/40000000000000 z) 3147848041806007/20000000000000)) 3147848041806007/10000000000000)) 3147848041806007/5000000000000)
2
(+ 2 (* -1 z))
7713234287776531/30000000000000
(+ 7713234287776531/30000000000000 (* 7713234287776531/90000000000000 z))
(+ 7713234287776531/30000000000000 (* z (+ 7713234287776531/90000000000000 (* 7713234287776531/270000000000000 z))))
(+ 7713234287776531/30000000000000 (* z (+ 7713234287776531/90000000000000 (* z (+ 7713234287776531/270000000000000 (* 7713234287776531/810000000000000 z))))))
3
(+ 3 (* -1 z))
-883075145810703/20000000000000
(- (* -883075145810703/80000000000000 z) 883075145810703/20000000000000)
(- (* z (- (* -883075145810703/320000000000000 z) 883075145810703/80000000000000)) 883075145810703/20000000000000)
(- (* z (- (* z (- (* -883075145810703/1280000000000000 z) 883075145810703/320000000000000)) 883075145810703/80000000000000)) 883075145810703/20000000000000)
4
(+ 4 (* -1 z))
2501468655737381/1000000000000000
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(* -1 (* z (- 1 (* 8 (/ 1 z)))))

Outputs
(* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) z) (sqrt (PI))))
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(/ (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))))) (* (* z (+ (* 1106209385320415913103082059/4200000000000000000000000 (/ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) (PI))) (/ (* (exp -15/2) (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2))))) (PI)))) (sqrt (pow (PI) 3)))) z)
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(sqrt.f64 #s(literal 15/2 binary64))
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15/2
#s(literal 15/2 binary64)
(+ 15/2 (* -1 z))
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7
#s(literal 7 binary64)
(+ 7 (* -1 z))
(fma.f64 #s(literal -1 binary64) z #s(literal 7 binary64))
(* -1 z)
(neg.f64 z)
1
#s(literal 1 binary64)
(+ 1 (* -1 z))
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1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1 z))
(fma.f64 #s(literal -1 binary64) z #s(literal 1/2 binary64))
(exp -15/2)
(exp.f64 #s(literal -15/2 binary64))
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#s(literal -15/2 binary64)
(- z 15/2)
(-.f64 z #s(literal 15/2 binary64))
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#s(literal 1382761731551712743134679/5250000000000000000000 binary64)
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6775203681218849099/10000000000000000
#s(literal 6775203681218849099/10000000000000000 binary64)
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6765203681218851/10000000000000
#s(literal 6765203681218851/10000000000000 binary64)
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#s(literal -3147848041806007/5000000000000 binary64)
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2
#s(literal 2 binary64)
(+ 2 (* -1 z))
(fma.f64 #s(literal -1 binary64) z #s(literal 2 binary64))
7713234287776531/30000000000000
#s(literal 7713234287776531/30000000000000 binary64)
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3
#s(literal 3 binary64)
(+ 3 (* -1 z))
(fma.f64 #s(literal -1 binary64) z #s(literal 3 binary64))
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#s(literal -883075145810703/20000000000000 binary64)
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4
#s(literal 4 binary64)
(+ 4 (* -1 z))
(fma.f64 #s(literal -1 binary64) z #s(literal 4 binary64))
2501468655737381/1000000000000000
#s(literal 2501468655737381/1000000000000000 binary64)
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#s(literal 5 binary64)
(+ 5 (* -1 z))
(fma.f64 #s(literal -1 binary64) z #s(literal 5 binary64))
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#s(literal -3464277381643003/150000000000000000 binary64)
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6
#s(literal 6 binary64)
(+ 6 (* -1 z))
(fma.f64 #s(literal -1 binary64) z #s(literal 6 binary64))
2496092394504893/1750000000000000000000
#s(literal 2496092394504893/1750000000000000000000 binary64)
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3764081837873279/200000000000000000000000
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rewrite255.0ms (1.2%)

Memory

-12.7MiB live, 314.8MiB allocated; 43ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	60	893
0	101	721
1	491	677
0	5048	677

Stop Event

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

Counts

60 → 756

Calls

Call 1

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

Outputs
(.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -7 binary64))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -5 binary64))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -4 binary64))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) (+.f64 (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) #s(literal 9999999999998099/10000000000000000 binary64)) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)))))))))) (.f64 (exp.f64 (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 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))) (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))))))
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(fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64) #s(literal 5 binary64))
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(*.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.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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(neg.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64)))))
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(/.f64 (-.f64 #s(literal 64 binary64) (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 8 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))))
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(-.f64 #s(literal 9 binary64) (-.f64 z #s(literal -1 binary64)))
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(+.f64 #s(literal 8 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)))
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#s(literal 8 binary64)

eval459.0ms (2.1%)

Memory: 40.7MiB live, 547.1MiB allocated; 88ms collecting garbage
Compiler: Compiled 221 460 to 12 025 computations (94.6% saved)

prune126.0ms (0.6%)

Memory

-4.0MiB live, 236.4MiB allocated; 21ms collecting garbage

Pruning

40 alts after pruning (40 fresh and 0 done)

	Pruned	Kept	Total
New	1 581	40	1 621
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	1 582	40	1 622

Accuracy

99.9%

Counts

1 622 → 40

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.9%	(fma.f64 (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -5 binary64))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -4 binary64))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) (+.f64 (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) #s(literal 9999999999998099/10000000000000000 binary64)) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))))))) (.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (exp.f64 (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 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))) (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))))) (.f64 (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -7 binary64))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64)))) (.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (exp.f64 (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 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))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))))))
▶	96.5%	(/.f64 (.f64 (.f64 (PI.f64) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -7 binary64))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -5 binary64))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -4 binary64))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) (+.f64 (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) #s(literal 9999999999998099/10000000000000000 binary64)) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)))))))))) (.f64 (exp.f64 (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 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))) (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64)))))) (sin.f64 (.f64 z (PI.f64))))
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	96.2%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))) (.f64 (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -7 binary64))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -5 binary64))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -4 binary64))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) (+.f64 (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) #s(literal 9999999999998099/10000000000000000 binary64)) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))))))))) (exp.f64 (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64))))))))
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	97.2%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -5 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -4 binary64))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) (+.f64 (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) #s(literal 9999999999998099/10000000000000000 binary64)) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)))))) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -7 binary64))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))))))))
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	96.2%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))) (.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))) (+.f64 (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) #s(literal 9999999999998099/10000000000000000 binary64)) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))))))))))))
	96.3%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 #s(approx ( (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (.f64 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (*.f64 (exp.f64 (-.f64 z #s(literal 15/2 binary64))) (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
	13.9%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) #s(approx (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))) (.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (.f64 (exp.f64 (-.f64 z #s(literal 15/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 9999999999998099/10000000000000000 binary64))))
	94.7%	(.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))))))
	13.9%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) #s(approx (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))) (.f64 (.f64 #s(literal 9999999999998099/10000000000000000 binary64) (sqrt.f64 (PI.f64))) (.f64 (.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) z #s(literal 15/2 binary64)) (fma.f64 #s(literal -1 binary64) z #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 (fma.f64 #s(literal 1 binary64) z #s(literal -15/2 binary64)))))))
	96.3%	(.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))))) (.f64 (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -7 binary64))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -5 binary64))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -4 binary64))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) (+.f64 (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) #s(literal 9999999999998099/10000000000000000 binary64)) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))))))))) (exp.f64 (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64))))))
	94.9%	(.f64 #s(approx (/ (PI) (sin ( (PI) z))) (/.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) (.f64 z z)) (.f64 (PI.f64) (PI.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 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
	94.3%	(.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 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
▶	95.0%	#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (/.f64 (.f64 (sqrt.f64 (PI.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(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))

Compiler

Compiled 10 124 to 5 396 computations (46.7% saved)

series55.0ms (0.3%)

Memory

-3.3MiB live, 84.3MiB allocated; 8ms collecting garbage

Counts

137 → 355

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 #s(literal 9999999999998099/10000000000000000 binary64) (+.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))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)))))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 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 #s(literal 9999999999998099/10000000000000000 binary64) (+.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))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)))))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 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))
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Outputs
(* 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)
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(/ 1 z)
(/ (+ 1 (* 1/6 (* (pow z 2) (pow (PI) 2)))) z)
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(* 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))))))))
z
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(sqrt 15/2)
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15/2
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7
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(* -1 z)
1
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1/2
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(exp -15/2)
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-15/2
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623771548950479/2400000000000
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2
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4
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3
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5
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6
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8
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(* (/ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) z) (sqrt (PI)))
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(/ -3147848041806007/2500000000000 (pow z 2))
(* -1 (/ (+ 3147848041806007/2500000000000 (* 3147848041806007/625000000000 (/ 1 (pow z 2)))) (pow z 2)))
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(* -1 (/ (+ 2501468655737381/200000000000000 (* -1 (/ (- (* -1 (/ (+ 2501468655737381/8000000000000 (* 2501468655737381/1600000000000 (/ 1 z))) z)) 2501468655737381/40000000000000) z))) z))
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(* -1 (/ (- (* -1 (/ (+ 10392832144929009/12500000000000000 (* 31178496434787027/6250000000000000 (/ 1 z))) z)) 3464277381643003/25000000000000000) z))
(* -1 (/ (- (* -1 (/ (+ 10392832144929009/12500000000000000 (+ (* 31178496434787027/6250000000000000 (/ 1 z)) (/ 93535489304361081/3125000000000000 (pow z 2)))) z)) 3464277381643003/25000000000000000) z))
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(* -1 (* (pow z 3) (- (* -1 (/ (+ 1261892996482553330703662111/2315250000000000000000000 (* 16055934341359023345617179/36750000000000000000000 (/ 1 z))) z)) 19664514596894233501133157847/32413500000000000000000000)))
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Calls

3 calls:

Time	Variable		Point	Expression
16.0ms	z	@	0	((* (/ (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 (+ (+ (/ -3147848041806007/2500000000000 (- (- 1 z) -1)) (/ 6765203681218851/10000000000000 (- 1 z))) (+ (/ -883075145810703/5000000000000 (- (- 1 z) -3)) (/ 7713234287776531/10000000000000 (- (- 1 z) -2))))) (/ 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)) (* (PI) z) 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 (+ (+ (/ -3147848041806007/2500000000000 (- (- 1 z) -1)) (/ 6765203681218851/10000000000000 (- 1 z))) (+ (/ -883075145810703/5000000000000 (- (- 1 z) -3)) (/ 7713234287776531/10000000000000 (- (- 1 z) -2))))) (/ 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)))) (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (sqrt (* (PI) 2)) (* (PI) 2) 2 (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2)) (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 7) (- (- 1 z) 1) (- 1 z) 1 7 1/2 (+ (- (- 1 z) 1) 1/2) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2))) (neg (+ (+ (- (- 1 z) 1) 7) 1/2)) (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (+ (+ (/ -3147848041806007/2500000000000 (- (- 1 z) -1)) (/ 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Time

Variable

Point

Expression

16.0ms

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14.0ms

-inf

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10.0ms

inf

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(* z (PI)) (* (/ (PI) (sin (* (PI) z))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (* (/ -3147848041806007/2500000000000 (- (pow (- (- 1 z) 1) 2) 4)) (- (- 1 z) 3)) (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) 9999999999998099/10000000000000000) (/ 7713234287776531/10000000000000 (- (- 1 z) -2)))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 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)))) (+ (+ (+ (+ (+ (+ (* (/ -3147848041806007/2500000000000 (- (pow (- (- 1 z) 1) 2) 4)) (- (- 1 z) 3)) (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) 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(/ 7713234287776531/10000000000000 (- (- 1 z) -2)))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (+ (+ (* (/ -3147848041806007/2500000000000 (- (pow (- (- 1 z) 1) 2) 4)) (- (- 1 z) 3)) (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) 9999999999998099/10000000000000000) (/ 7713234287776531/10000000000000 (- (- 1 z) -2)))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (+ (* (/ -3147848041806007/2500000000000 (- (pow (- (- 1 z) 1) 2) 4)) (- (- 1 z) 3)) (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) 9999999999998099/10000000000000000) (/ 7713234287776531/10000000000000 (- (- 1 z) -2)))) (/ -3147848041806007/2500000000000 (- (pow (- (- 1 z) 1) 2) 4)) (- (pow (- (- 1 z) 1) 2) 4) (pow (- (- 1 z) 1) 2) 4 (- (- 1 z) 3) 3 (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) 9999999999998099/10000000000000000) (/ 7713234287776531/10000000000000 (- (- 1 z) -2))) (+ (/ 6765203681218851/10000000000000 (- 1 z)) 9999999999998099/10000000000000000) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4)) (+ (- (- 1 z) 1) 4))

simplify1.1s (5.2%)

Memory

-82.0MiB live, 266.5MiB allocated; 1.4s collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1441	6588
1	5007	6574
0	9218	6210

Stop Event

1×	iter limit
1×	node limit

Counts

355 → 354

Calls

Call 1

Inputs
(* 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))))))))
z
(* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))))
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(* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))))
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Outputs
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15/2
#s(literal 15/2 binary64)
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#s(literal 7 binary64)
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1
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#s(literal 1/2 binary64)
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#s(literal -15/2 binary64)
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#s(literal 2 binary64)
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6765203681218851/10000000000000
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(+ (* -1 (/ (+ (* -1 (/ (+ (* -398308844029173303716389/6250000000000000000000 (/ (PI) z)) (* 1078390842009938509147167/6250000000000000000000 (PI))) z)) (* 611458333333720910362579/25000000000000000000000 (PI))) z)) (* 9999999999998099/10000000000000000 (PI)))
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(+ 9999999999998099/10000000000000000 (* -1 (/ (+ 943522900885677/5000000000000 (+ (* 1180530552525097/2500000000000 (/ 1 z)) (/ 12909371801155759/5000000000000 (pow z 2)))) z)))
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(+ 9999999999998099/10000000000000000 (* -1 (/ (- (* -1 (/ (+ 3147848041806007/1250000000000 (* 3147848041806007/625000000000 (/ 1 z))) z)) 3147848041806007/2500000000000) z)))
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(+ 9999999999998099/10000000000000000 (* -1 (/ (+ 7239218984497691/5000000000000 (+ (* 7476226636137111/2500000000000 (/ 1 z)) (/ 7618431227120763/1000000000000 (pow z 2)))) z)))
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(+ 9999999999998099/10000000000000000 (* -1 (/ (+ 6765203681218851/10000000000000 (+ (* 6765203681218851/10000000000000 (/ 1 z)) (/ 6765203681218851/10000000000000 (pow z 2)))) z)))
(fma.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (*.f64 z z)) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) z)) #s(literal 6765203681218851/10000000000000 binary64)) z) #s(literal -1 binary64) #s(literal 9999999999998099/10000000000000000 binary64))

rewrite391.0ms (1.8%)

Memory

-66.5MiB live, 510.9MiB allocated; 110ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	178	2785
0	295	2519
1	1389	2515
0	9043	2515

Stop Event

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

Counts

137 → 1 090

Calls

Call 1

Inputs
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(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
(PI.f64)
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z
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(+.f64 (+.f64 (+.f64 (fma.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 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 (fma.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) (+.f64 (+.f64 (/.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 #s(literal 1 binary64) z) #s(literal -2 binary64))))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64))))
(+.f64 (fma.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64))))
(fma.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) (+.f64 (+.f64 (/.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 #s(literal 1 binary64) z) #s(literal -2 binary64)))))
(/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64)))
(-.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64))
(pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64))
#s(literal 4 binary64)
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))
#s(literal 3 binary64)
(+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))))
(+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64))
(/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64))

Outputs
(.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (.f64 (exp.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))))) (.f64 (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))) (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64)))))) (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64))))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -4 binary64))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -5 binary64))))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -7 binary64))))))
(.f64 (.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64))))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -4 binary64))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -5 binary64))))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -7 binary64))))) (.f64 (exp.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))))) (.f64 (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))) (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64)))))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64))))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -4 binary64))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -5 binary64))))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -7 binary64))))) (.f64 (exp.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))))) (.f64 (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))) (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64)))))))
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(/.f64 (neg.f64 (neg.f64 (PI.f64))) (neg.f64 (sin.f64 (fma.f64 z (PI.f64) (PI.f64)))))
(/.f64 (neg.f64 (PI.f64)) (sin.f64 (fma.f64 z (PI.f64) (PI.f64))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(PI.f64)
(sin.f64 (*.f64 z (PI.f64)))
(*.f64 z (PI.f64))
(*.f64 (PI.f64) z)
(log.f64 (pow.f64 (exp.f64 (PI.f64)) z))
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(/.f64 (+.f64 #s(literal 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 binary64) (pow.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64))) (+.f64 #s(literal 99999999999961980000000003613801/100000000000000000000000000000000 binary64) (-.f64 (pow.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) (*.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))))))
(/.f64 (neg.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))) (neg.f64 (-.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64))))
(/.f64 (neg.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))) (neg.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 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64))))))
(/.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 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)))
(/.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 (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 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)))))
(-.f64 (/.f64 (pow.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64))) (/.f64 #s(literal 99999999999961980000000003613801/100000000000000000000000000000000 binary64) (-.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64))))
(+.f64 (/.f64 (pow.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64)) (+.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 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64))))) (/.f64 #s(literal 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 binary64) (+.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 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64))))))
(+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64))
(+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)))
(/.f64 #s(literal 883075145810703/5000000000000 binary64) (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64))))
(/.f64 #s(literal -883075145810703/5000000000000 binary64) (neg.f64 (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64)))))
(/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 z #s(literal -3 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 z #s(literal -3 binary64)) (+.f64 z #s(literal -3 binary64)) (*.f64 #s(literal 1 binary64) (+.f64 z #s(literal -3 binary64))))))
(/.f64 (+.f64 #s(literal 64 binary64) (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 16 binary64) (-.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 16 binary64))) (neg.f64 (-.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) #s(literal -27 binary64))) (neg.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) (+.f64 #s(literal 9 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 64 binary64))) (neg.f64 (+.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 16 binary64) (*.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) #s(literal 9 binary64))) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64))))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) #s(literal 9 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #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 16 binary64)) (-.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) #s(literal -27 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) (+.f64 #s(literal 9 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64)))))
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(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64))) (/.f64 #s(literal 9 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64))))
(-.f64 (/.f64 (pow.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 4 binary64))) (/.f64 #s(literal 16 binary64) (-.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64))))
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) (+.f64 #s(literal 9 binary64) (.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64))))) (/.f64 #s(literal -27 binary64) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) (+.f64 #s(literal 9 binary64) (.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64))))))
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64))
(-.f64 #s(literal 1 binary64) (+.f64 z #s(literal -3 binary64)))
(+.f64 (/.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 16 binary64) (.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64))))) (/.f64 #s(literal 64 binary64) (+.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 16 binary64) (.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64))))))
(+.f64 #s(literal 4 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 4 binary64))

eval750.0ms (3.5%)

Memory: 30.3MiB live, 1 171.8MiB allocated; 178ms collecting garbage
Compiler: Compiled 408 603 to 17 974 computations (95.6% saved)

prune192.0ms (0.9%)

Memory

-2.9MiB live, 418.8MiB allocated; 26ms collecting garbage

Pruning

54 alts after pruning (54 fresh and 0 done)

	Pruned	Kept	Total
New	2 899	41	2 940
Fresh	22	13	35
Picked	5	0	5
Done	0	0	0
Total	2 926	54	2 980

Accuracy

100.0%

Counts

2 980 → 54

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.5%	(/.f64 (.f64 (.f64 (PI.f64) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -7 binary64))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -5 binary64))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -4 binary64))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)))))))))) (.f64 (exp.f64 (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 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))) (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64)))))) (sin.f64 (.f64 z (PI.f64))))
	96.5%	(/.f64 (.f64 (.f64 (PI.f64) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -7 binary64))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -5 binary64))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -4 binary64))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) (+.f64 (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 z #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 z #s(literal -1 binary64)) (+.f64 z #s(literal -1 binary64)) (.f64 #s(literal 1 binary64) (+.f64 z #s(literal -1 binary64))))))) #s(literal 9999999999998099/10000000000000000 binary64)) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)))))))))) (.f64 (exp.f64 (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 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))) (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64)))))) (sin.f64 (*.f64 z (PI.f64))))
	96.5%	(/.f64 (.f64 (.f64 (PI.f64) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -7 binary64))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -5 binary64))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -4 binary64))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) (+.f64 (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) #s(literal 9999999999998099/10000000000000000 binary64)) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)))))))))) (.f64 (.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 #s(literal 2 binary64) (PI.f64))))) (sin.f64 (.f64 z (PI.f64))))
	96.4%	(/.f64 (.f64 (.f64 (PI.f64) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -7 binary64))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -5 binary64))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -4 binary64))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) (+.f64 (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) #s(literal 9999999999998099/10000000000000000 binary64)) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)))))))))) (.f64 (exp.f64 (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)))) (.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) (-.f64 #s(approx (- 1 z) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) z)) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64)))))) (sin.f64 (*.f64 z (PI.f64))))
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	96.5%	(/.f64 (.f64 (.f64 (PI.f64) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -7 binary64))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -5 binary64))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -4 binary64))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) (+.f64 (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) #s(literal 9999999999998099/10000000000000000 binary64)) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)))))))))) (.f64 (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (+.f64 z #s(literal -13/2 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))) (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64)))))) (sin.f64 (.f64 z (PI.f64))))
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	96.7%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 #s(approx ( (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (.f64 (.f64 (sqrt.f64 (PI.f64)) (exp.f64 (fma.f64 #s(literal 1 binary64) z #s(literal -15/2 binary64)))) (*.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) z #s(literal 15/2 binary64)) (fma.f64 #s(literal -1 binary64) z #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))))) (+.f64 #s(approx (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (fma.f64 (fma.f64 (fma.f64 #s(literal 19664514596894233501133157847/32413500000000000000000000 binary64) z #s(literal 1261892996482553330703662111/2315250000000000000000000 binary64)) z #s(literal 16055934341359023345617179/36750000000000000000000 binary64)) z #s(literal 1382761731551712743134679/5250000000000000000000 binary64))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
	13.9%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) #s(approx (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))) (.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (.f64 (exp.f64 (-.f64 z #s(literal 15/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 9999999999998099/10000000000000000 binary64))))
	94.7%	(.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))))))
▶	96.0%	(.f64 (/.f64 (PI.f64) #s(approx (sin ( (PI) z)) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 z z)) (pow.f64 (PI.f64) #s(literal 3 binary64)) (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 #s(approx (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (fma.f64 (fma.f64 (fma.f64 #s(literal 19664514596894233501133157847/32413500000000000000000000 binary64) z #s(literal 1261892996482553330703662111/2315250000000000000000000 binary64)) z #s(literal 16055934341359023345617179/36750000000000000000000 binary64)) z #s(literal 1382761731551712743134679/5250000000000000000000 binary64))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
	96.3%	(.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))))) (.f64 (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -7 binary64))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -5 binary64))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -4 binary64))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) (+.f64 (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) #s(literal 9999999999998099/10000000000000000 binary64)) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))))))))) (exp.f64 (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64))))))
	96.9%	(.f64 #s(approx (/ (PI) (sin ( (PI) z))) (/.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) (.f64 z z)) (.f64 (PI.f64) (PI.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 #s(literal 9999999999998099/10000000000000000 binary64) (+.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))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)))))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 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 (fma.f64 (.f64 #s(literal 1/6 binary64) (.f64 z z)) (.f64 (PI.f64) (PI.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 #s(approx (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (fma.f64 (fma.f64 (fma.f64 #s(literal 19664514596894233501133157847/32413500000000000000000000 binary64) z #s(literal 1261892996482553330703662111/2315250000000000000000000 binary64)) z #s(literal 16055934341359023345617179/36750000000000000000000 binary64)) z #s(literal 1382761731551712743134679/5250000000000000000000 binary64))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
	96.3%	(.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 #s(literal 9999999999998099/10000000000000000 binary64) (+.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))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)))))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
	95.4%	(.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 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 #s(approx (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (fma.f64 (fma.f64 (fma.f64 #s(literal 19664514596894233501133157847/32413500000000000000000000 binary64) z #s(literal 1261892996482553330703662111/2315250000000000000000000 binary64)) z #s(literal 16055934341359023345617179/36750000000000000000000 binary64)) z #s(literal 1382761731551712743134679/5250000000000000000000 binary64))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
	94.6%	#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (/.f64 (.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 15 binary64))) (exp.f64 #s(literal -15/2 binary64))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) z))
	95.7%	#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 (.f64 (/.f64 (PI.f64) (sqrt.f64 (PI.f64))) (.f64 (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 #s(literal -15/2 binary64)))) z) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))
▶	95.0%	#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 (.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 15 binary64))) (exp.f64 #s(literal -15/2 binary64))) z) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))
	66.4%	#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (/.f64 (.f64 (sqrt.f64 (PI.f64)) (.f64 (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (cosh.f64 #s(literal -15/2 binary64)) (sinh.f64 #s(literal -15/2 binary64))))) z) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))
	95.1%	#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 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (exp.f64 #s(literal -15/2 binary64)) (sqrt.f64 #s(literal 15 binary64))) z)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))

Compiler

Compiled 13 304 to 7 678 computations (42.3% saved)

series50.0ms (0.2%)

Memory

-12.3MiB live, 81.4MiB allocated; 12ms collecting garbage

Counts

142 → 344

Calls

Call 1

Inputs
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(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
(PI.f64)
(sin.f64 (*.f64 (PI.f64) z))
(*.f64 (PI.f64) z)
z
(.f64 #s(approx ( (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (.f64 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (*.f64 (exp.f64 (-.f64 z #s(literal 15/2 binary64))) (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.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))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)))))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64)))))
#s(approx (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (.f64 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (*.f64 (exp.f64 (-.f64 z #s(literal 15/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (*.f64 (exp.f64 (-.f64 z #s(literal 15/2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))
(sqrt.f64 (PI.f64))
(pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))
(-.f64 #s(literal 15/2 binary64) z)
#s(literal 15/2 binary64)
(-.f64 #s(literal 1/2 binary64) z)
#s(literal 1/2 binary64)
(*.f64 (exp.f64 (-.f64 z #s(literal 15/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(exp.f64 (-.f64 z #s(literal 15/2 binary64)))
(-.f64 z #s(literal 15/2 binary64))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.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))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)))))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 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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#s(literal 9999999999998099/10000000000000000 binary64)
(+.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))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)))))
(+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)))
(/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))
#s(literal -3147848041806007/2500000000000 binary64)
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))
(-.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 #s(literal -883075145810703/5000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))))
(/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64)))
#s(literal -883075145810703/5000000000000 binary64)
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64))
#s(literal -3 binary64)
(/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)))
#s(literal 7713234287776531/10000000000000 binary64)
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))
#s(literal -2 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))
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
#s(literal 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)
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (/.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 15 binary64))) (exp.f64 #s(literal -15/2 binary64))) z) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))
(.f64 (/.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 15 binary64))) (exp.f64 #s(literal -15/2 binary64))) z) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))
(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 15 binary64))) (exp.f64 #s(literal -15/2 binary64))) z)
(.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 15 binary64))) (exp.f64 #s(literal -15/2 binary64)))
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(*.f64 (PI.f64) #s(literal 15 binary64))
#s(literal 15 binary64)
(exp.f64 #s(literal -15/2 binary64))
#s(literal -15/2 binary64)
#s(literal 1106209385320415913103082059/4200000000000000000000000 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))))) #s(approx (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))) (fma.f64 (fma.f64 (fma.f64 #s(literal 4027292589444183035165374538123333/6638284800000000000000000000000 binary64) z #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64)) z #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64)) z #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))))
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(fma.f64 (fma.f64 (fma.f64 #s(literal 19664514596894233501133157847/32413500000000000000000000 binary64) z #s(literal 1261892996482553330703662111/2315250000000000000000000 binary64)) z #s(literal 16055934341359023345617179/36750000000000000000000 binary64)) z #s(literal 1382761731551712743134679/5250000000000000000000 binary64))
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(fma.f64 #s(literal 19664514596894233501133157847/32413500000000000000000000 binary64) z #s(literal 1261892996482553330703662111/2315250000000000000000000 binary64))
#s(literal 19664514596894233501133157847/32413500000000000000000000 binary64)
#s(literal 1261892996482553330703662111/2315250000000000000000000 binary64)
#s(literal 16055934341359023345617179/36750000000000000000000 binary64)
#s(literal 1382761731551712743134679/5250000000000000000000 binary64)
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(.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64))))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -4 binary64))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -5 binary64))))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -7 binary64))))) (.f64 (exp.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))))) (.f64 (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))) (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))))))
(+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64))))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -4 binary64))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -5 binary64))))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -7 binary64)))))
(+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64))))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -4 binary64))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -5 binary64)))))
(+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64)))))
(+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))))
(+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))))
(+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64))))
(+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -4 binary64))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -5 binary64))))
(/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -4 binary64)))
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -4 binary64))
#s(literal -4 binary64)
(/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -5 binary64)))
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -5 binary64))
#s(literal -5 binary64)
(+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -7 binary64))))
(/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64)))
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))
#s(literal -6 binary64)
(/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -7 binary64)))
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -7 binary64))
#s(literal -7 binary64)
(.f64 (exp.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))))) (.f64 (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))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))))
(exp.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64)))))
(neg.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))))
(+.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64)))
(.f64 (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))) (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))))
(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 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))
(*.f64 #s(literal 2 binary64) (PI.f64))

Outputs
(* 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))))))))
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))))))))))
(* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))))
(+ (* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))) (* (* z (+ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15)))))) (sqrt (PI))))
(+ (* z (+ (* (sqrt (PI)) (+ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15)))))) (* (* z (+ (* 1/2 (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))) (+ (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2)))))) (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))))))) (sqrt (PI))))) (* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))))
(+ (* z (+ (* z (+ (* (sqrt (PI)) (+ (* 1/2 (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))) (+ (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2)))))) (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))))))) (* (* z (+ (* 1/6 (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))) (+ (* 1/2 (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))))) (+ (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (+ 86/10125 (+ (* 29/225 (- (* -1 (log 15/2)) 1/15)) (* 1/6 (pow (- (* -1 (log 15/2)) 1/15) 3))))))) (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2)))))))))) (sqrt (PI))))) (* (sqrt (PI)) (+ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15)))))))) (* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))))
(* (sqrt (PI)) (sqrt 15/2))
(+ (* (sqrt (PI)) (sqrt 15/2)) (* (* z (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (sqrt (PI))))
(+ (* z (+ (* (sqrt (PI)) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* (* z (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (sqrt (PI))))) (* (sqrt (PI)) (sqrt 15/2)))
(+ (* z (+ (* z (+ (* (sqrt (PI)) (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (* (* z (* (sqrt 15/2) (+ 86/10125 (+ (* 29/225 (- (* -1 (log 15/2)) 1/15)) (* 1/6 (pow (- (* -1 (log 15/2)) 1/15) 3)))))) (sqrt (PI))))) (* (sqrt (PI)) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))))) (* (sqrt (PI)) (sqrt 15/2)))
(sqrt 15/2)
(+ (sqrt 15/2) (* z (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))))
(+ (sqrt 15/2) (* z (+ (* z (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15)))))
(+ (sqrt 15/2) (* z (+ (* z (+ (* z (* (sqrt 15/2) (+ 86/10125 (+ (* 29/225 (- (* -1 (log 15/2)) 1/15)) (* 1/6 (pow (- (* -1 (log 15/2)) 1/15) 3)))))) (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2)))))) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15)))))
15/2
(+ 15/2 (* -1 z))
1/2
(+ 1/2 (* -1 z))
(* (exp -15/2) (sqrt 2))
(+ (* z (* (exp -15/2) (sqrt 2))) (* (exp -15/2) (sqrt 2)))
(+ (* z (+ (* 1/2 (* z (* (exp -15/2) (sqrt 2)))) (* (exp -15/2) (sqrt 2)))) (* (exp -15/2) (sqrt 2)))
(+ (* z (+ (* z (+ (* 1/6 (* z (* (exp -15/2) (sqrt 2)))) (* 1/2 (* (exp -15/2) (sqrt 2))))) (* (exp -15/2) (sqrt 2)))) (* (exp -15/2) (sqrt 2)))
(exp -15/2)
(+ (exp -15/2) (* z (exp -15/2)))
(+ (exp -15/2) (* z (+ (exp -15/2) (* 1/2 (* z (exp -15/2))))))
(+ (exp -15/2) (* z (+ (exp -15/2) (* z (+ (* 1/6 (* z (exp -15/2))) (* 1/2 (exp -15/2)))))))
-15/2
(- z 15/2)
1106209385320415913103082059/4200000000000000000000000
(+ 1106209385320415913103082059/4200000000000000000000000 (* 102757979785251069442117317613/235200000000000000000000000 z))
(+ 1106209385320415913103082059/4200000000000000000000000 (* z (+ 102757979785251069442117317613/235200000000000000000000000 (* 64608921419941589693928044520019/118540800000000000000000000000 z))))
(+ 1106209385320415913103082059/4200000000000000000000000 (* z (+ 102757979785251069442117317613/235200000000000000000000000 (* z (+ 64608921419941589693928044520019/118540800000000000000000000000 (* 4027292589444183035165374538123333/6638284800000000000000000000000 z))))))
1382761731551712743134679/5250000000000000000000
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(+ 1382761731551712743134679/5250000000000000000000 (* z (+ 16055934341359023345617179/36750000000000000000000 (* 1261892996482553330703662111/2315250000000000000000000 z))))
(+ 1382761731551712743134679/5250000000000000000000 (* z (+ 16055934341359023345617179/36750000000000000000000 (* z (+ 1261892996482553330703662111/2315250000000000000000000 (* 19664514596894233501133157847/32413500000000000000000000 z))))))
9876869457595968283/37500000000000000
(+ 9876869457595968283/37500000000000000 (* 131068851705067315609/300000000000000000 z))
(+ 9876869457595968283/37500000000000000 (* z (+ 131068851705067315609/300000000000000000 (* 367898832774098786021/675000000000000000 z))))
(+ 9876869457595968283/37500000000000000 (* z (+ 131068851705067315609/300000000000000000 (* z (+ 367898832774098786021/675000000000000000 (* 65521081538557082921549/108000000000000000000 z))))))
7902188421553103227/30000000000000000
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(+ 7902188421553103227/30000000000000000 (* z (+ 39321001939258358983/90000000000000000 (* 2943194126470171931171/5400000000000000000 z))))
(+ 7902188421553103227/30000000000000000 (* z (+ 39321001939258358983/90000000000000000 (* z (+ 2943194126470171931171/5400000000000000000 (* 196563279258445065194677/324000000000000000000 z))))))
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))))))
623771548950479/2400000000000
(+ 623771548950479/2400000000000 (* 314207804027640689/720000000000000 z))
(+ 623771548950479/2400000000000 (* z (+ 314207804027640689/720000000000000 (* 4708246094784852251/8640000000000000 z))))
(+ 623771548950479/2400000000000 (* 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))))))
-3147848041806007/5000000000000
(- (* -3147848041806007/10000000000000 z) 3147848041806007/5000000000000)
(- (* z (- (* -3147848041806007/20000000000000 z) 3147848041806007/10000000000000)) 3147848041806007/5000000000000)
(- (* z (- (* z (- (* -3147848041806007/40000000000000 z) 3147848041806007/20000000000000)) 3147848041806007/10000000000000)) 3147848041806007/5000000000000)
2
(+ 2 (* -1 z))
1
(+ 1 (* -1 z))
6765203681218851/10000000000000
(+ 6765203681218851/10000000000000 (* 6765203681218851/10000000000000 z))
(+ 6765203681218851/10000000000000 (* z (+ 6765203681218851/10000000000000 (* 6765203681218851/10000000000000 z))))
(+ 6765203681218851/10000000000000 (* z (+ 6765203681218851/10000000000000 (* z (+ 6765203681218851/10000000000000 (* 6765203681218851/10000000000000 z))))))
12777243138120953/60000000000000
(+ 12777243138120953/60000000000000 (* 53758197989915921/720000000000000 z))
(+ 12777243138120953/60000000000000 (* z (+ 53758197989915921/720000000000000 (* 222980468271960011/8640000000000000 z))))
(+ 12777243138120953/60000000000000 (* z (+ 53758197989915921/720000000000000 (* z (+ 222980468271960011/8640000000000000 (* 36630596080989161/4147200000000000 z))))))
-883075145810703/20000000000000
(- (* -883075145810703/80000000000000 z) 883075145810703/20000000000000)
(- (* z (- (* -883075145810703/320000000000000 z) 883075145810703/80000000000000)) 883075145810703/20000000000000)
(- (* z (- (* z (- (* -883075145810703/1280000000000000 z) 883075145810703/320000000000000)) 883075145810703/80000000000000)) 883075145810703/20000000000000)
4
(+ 4 (* -1 z))
7713234287776531/30000000000000
(+ 7713234287776531/30000000000000 (* 7713234287776531/90000000000000 z))
(+ 7713234287776531/30000000000000 (* z (+ 7713234287776531/90000000000000 (* 7713234287776531/270000000000000 z))))
(+ 7713234287776531/30000000000000 (* z (+ 7713234287776531/90000000000000 (* z (+ 7713234287776531/270000000000000 (* 7713234287776531/810000000000000 z))))))
3
(+ 3 (* -1 z))
2501468655737381/1000000000000000
(+ 2501468655737381/1000000000000000 (* 2501468655737381/5000000000000000 z))
(+ 2501468655737381/1000000000000000 (* z (+ 2501468655737381/5000000000000000 (* 2501468655737381/25000000000000000 z))))
(+ 2501468655737381/1000000000000000 (* z (+ 2501468655737381/5000000000000000 (* z (+ 2501468655737381/25000000000000000 (* 2501468655737381/125000000000000000 z))))))
5
(+ 5 (* -1 z))
(* -1 z)
-3464277381643003/150000000000000000
(- (* -3464277381643003/900000000000000000 z) 3464277381643003/150000000000000000)
(- (* z (- (* -3464277381643003/5400000000000000000 z) 3464277381643003/900000000000000000)) 3464277381643003/150000000000000000)
(- (* z (- (* z (- (* -3464277381643003/32400000000000000000 z) 3464277381643003/5400000000000000000)) 3464277381643003/900000000000000000)) 3464277381643003/150000000000000000)
6
(+ 6 (* -1 z))
2496092394504893/1750000000000000000000
(+ 2496092394504893/1750000000000000000000 (* 2496092394504893/12250000000000000000000 z))
(+ 2496092394504893/1750000000000000000000 (* z (+ 2496092394504893/12250000000000000000000 (* 2496092394504893/85750000000000000000000 z))))
(+ 2496092394504893/1750000000000000000000 (* z (+ 2496092394504893/12250000000000000000000 (* z (+ 2496092394504893/85750000000000000000000 (* 2496092394504893/600250000000000000000000 z))))))
7
(+ 7 (* -1 z))
3764081837873279/200000000000000000000000
(+ 3764081837873279/200000000000000000000000 (* 3764081837873279/1600000000000000000000000 z))
(+ 3764081837873279/200000000000000000000000 (* z (+ 3764081837873279/1600000000000000000000000 (* 3764081837873279/12800000000000000000000000 z))))
(+ 3764081837873279/200000000000000000000000 (* z (+ 3764081837873279/1600000000000000000000000 (* z (+ 3764081837873279/12800000000000000000000000 (* 3764081837873279/102400000000000000000000000 z))))))
8
(+ 8 (* -1 z))
(* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (exp -15/2) (sqrt 15)) z) (sqrt (PI))))
(* (/ (* (exp -15/2) (sqrt 15)) z) (sqrt (PI)))
(* (sqrt (PI)) (* (sqrt 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))))))
(* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))
(* (sqrt (PI)) (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))))
(exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z))))
(* -1 (* z (- 1 (* 15/2 (/ 1 z)))))
(* -1 (* z (- 1 (* 1/2 (/ 1 z)))))
(* (exp (neg (+ 15/2 (* -1 z)))) (sqrt 2))
(exp (neg (+ 15/2 (* -1 z))))
(* -1 (* z (- (* 15/2 (/ 1 z)) 1)))
(+ 9999999999998099/10000000000000000 (* -1 (/ (- 611458333333720910362579/25000000000000000000000 (* 1078390842009938509147167/6250000000000000000000 (/ 1 z))) z)))
(+ 9999999999998099/10000000000000000 (* -1 (/ (+ 611458333333720910362579/25000000000000000000000 (* -1 (/ (- 1078390842009938509147167/6250000000000000000000 (* 398308844029173303716389/6250000000000000000000 (/ 1 z))) z))) z)))
(+ 9999999999998099/10000000000000000 (* -1 (/ (- 6114583295696390724893/250000000000000000000 (* 43135633981524087395749/250000000000000000000 (/ 1 z))) z)))
(+ 9999999999998099/10000000000000000 (* -1 (/ (+ 6114583295696390724893/250000000000000000000 (* -1 (/ (- 43135633981524087395749/250000000000000000000 (* 15932351352154555909757/250000000000000000000 (/ 1 z))) z))) z)))
(+ 9999999999998099/10000000000000000 (* -1 (/ (- 305729039980199811/12500000000000000 (* 4313565145417084893/25000000000000000 (/ 1 z))) z)))
(+ 9999999999998099/10000000000000000 (* -1 (/ (+ 305729039980199811/12500000000000000 (* -1 (/ (- 4313565145417084893/25000000000000000 (* 1593222904362722517/25000000000000000 (/ 1 z))) z))) z)))
(+ 9999999999998099/10000000000000000 (* -1 (/ (- 4919378858736341/200000000000000 (* 6868447169803563/40000000000000 (/ 1 z))) z)))
(+ 9999999999998099/10000000000000000 (* -1 (/ (+ 4919378858736341/200000000000000 (* -1 (/ (- 6868447169803563/40000000000000 (* 2748699024162993/40000000000000 (/ 1 z))) z))) z)))
(+ 9999999999998099/10000000000000000 (* -1 (/ (- 30223877537487/2500000000000 (* 585619739096309/2500000000000 (/ 1 z))) z)))
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(* -1 (/ (- 30223877537487/2500000000000 (* 585619739096309/2500000000000 (/ 1 z))) z))
(* -1 (/ (+ 30223877537487/2500000000000 (* -1 (/ (+ 585619739096309/2500000000000 (* 1219830531815489/5000000000000 (/ 1 z))) z))) z))
(* -1 (/ (+ 30223877537487/2500000000000 (* -1 (/ (+ 585619739096309/2500000000000 (* -1 (/ (- (* 62888672481149/500000000000 (/ 1 z)) 1219830531815489/5000000000000) 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))
(* -1 (/ (- (* -1 (/ (+ 3147848041806007/1250000000000 (* 3147848041806007/625000000000 (/ 1 z))) z)) 3147848041806007/2500000000000) z))
(* -1 (/ (- (* -1 (/ (+ 3147848041806007/1250000000000 (+ (* 3147848041806007/625000000000 (/ 1 z)) (/ 3147848041806007/312500000000 (pow z 2)))) z)) 3147848041806007/2500000000000) z))
(* -1 (* z (- 1 (* 2 (/ 1 z)))))
(* -1 (* z (- 1 (/ 1 z))))
(* -1 (/ (+ 6765203681218851/10000000000000 (+ (* 6765203681218851/10000000000000 (/ 1 z)) (/ 6765203681218851/10000000000000 (pow z 2)))) z))
(* -1 (/ (+ 6765203681218851/10000000000000 (* -1 (/ (- (* -1 (/ (+ 6765203681218851/10000000000000 (* 6765203681218851/10000000000000 (/ 1 z))) z)) 6765203681218851/10000000000000) z))) z))
(* -1 (/ (+ 47576671969241/80000000000 (+ (* 16075101696843969/10000000000000 (/ 1 z)) (/ 41160703924046283/10000000000000 (pow z 2)))) z))
(* -1 (/ (+ 47576671969241/80000000000 (* -1 (/ (- (* -1 (/ (+ 41160703924046283/10000000000000 (* 95223707106196353/10000000000000 (/ 1 z))) z)) 16075101696843969/10000000000000) z))) z))
(* -1 (/ (- (* -1 (/ (+ 883075145810703/1250000000000 (* 883075145810703/312500000000 (/ 1 z))) z)) 883075145810703/5000000000000) z))
(* -1 (/ (- (* -1 (/ (+ 883075145810703/1250000000000 (+ (* 883075145810703/312500000000 (/ 1 z)) (/ 883075145810703/78125000000 (pow z 2)))) z)) 883075145810703/5000000000000) z))
(* -1 (* z (- 1 (* 4 (/ 1 z)))))
(* -1 (/ (+ 7713234287776531/10000000000000 (+ (* 23139702863329593/10000000000000 (/ 1 z)) (/ 69419108589988779/10000000000000 (pow z 2)))) z))
(* -1 (/ (+ 7713234287776531/10000000000000 (* -1 (/ (- (* -1 (/ (+ 69419108589988779/10000000000000 (* 208257325769966337/10000000000000 (/ 1 z))) z)) 23139702863329593/10000000000000) z))) z))
(* -1 (* z (- 1 (* 3 (/ 1 z)))))
(* -1 (/ (+ 2501468655737381/200000000000000 (+ (* 2501468655737381/40000000000000 (/ 1 z)) (/ 2501468655737381/8000000000000 (pow z 2)))) z))
(* -1 (/ (+ 2501468655737381/200000000000000 (* -1 (/ (- (* -1 (/ (+ 2501468655737381/8000000000000 (* 2501468655737381/1600000000000 (/ 1 z))) z)) 2501468655737381/40000000000000) z))) z))
(* -1 (* z (- 1 (* 5 (/ 1 z)))))
(* -1 (/ (- (* -1 (/ (+ 10392832144929009/12500000000000000 (* 31178496434787027/6250000000000000 (/ 1 z))) z)) 3464277381643003/25000000000000000) z))
(* -1 (/ (- (* -1 (/ (+ 10392832144929009/12500000000000000 (+ (* 31178496434787027/6250000000000000 (/ 1 z)) (/ 93535489304361081/3125000000000000 (pow z 2)))) z)) 3464277381643003/25000000000000000) z))
(* -1 (* z (- 1 (* 6 (/ 1 z)))))
(* -1 (/ (+ 2496092394504893/250000000000000000000 (+ (/ 122308527330739757/250000000000000000000 (pow z 2)) (* 17472646761534251/250000000000000000000 (/ 1 z)))) z))
(* -1 (/ (+ 2496092394504893/250000000000000000000 (* -1 (/ (- (* -1 (/ (+ 122308527330739757/250000000000000000000 (* 856159691315178299/250000000000000000000 (/ 1 z))) z)) 17472646761534251/250000000000000000000) z))) z))
(* -1 (* z (- 1 (* 7 (/ 1 z)))))
(* -1 (/ (+ 3764081837873279/25000000000000000000000 (+ (/ 3764081837873279/390625000000000000000 (pow z 2)) (* 3764081837873279/3125000000000000000000 (/ 1 z)))) z))
(* -1 (/ (+ 3764081837873279/25000000000000000000000 (* -1 (/ (- (* -1 (/ (+ 3764081837873279/390625000000000000000 (* 3764081837873279/48828125000000000000 (/ 1 z))) z)) 3764081837873279/3125000000000000000000) z))) z))
(* -1 (* z (- 1 (* 8 (/ 1 z)))))
(* (sqrt (PI)) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)))
(* -1 (* (pow z 3) (- (* -1 (/ (+ 64608921419941589693928044520019/118540800000000000000000000000 (* 102757979785251069442117317613/235200000000000000000000000 (/ 1 z))) z)) 4027292589444183035165374538123333/6638284800000000000000000000000)))
(* -1 (* (pow z 3) (- (* -1 (/ (+ 64608921419941589693928044520019/118540800000000000000000000000 (+ (* 102757979785251069442117317613/235200000000000000000000000 (/ 1 z)) (/ 1106209385320415913103082059/4200000000000000000000000 (pow z 2)))) z)) 4027292589444183035165374538123333/6638284800000000000000000000000)))
(* -1 (* (pow z 3) (+ (* -1 (/ (PI) (pow z 2))) (* 1/6 (pow (PI) 3)))))
(* -1 (* (pow z 3) (- (* -1 (/ (+ 1261892996482553330703662111/2315250000000000000000000 (* 16055934341359023345617179/36750000000000000000000 (/ 1 z))) z)) 19664514596894233501133157847/32413500000000000000000000)))
(* -1 (* (pow z 3) (- (* -1 (/ (+ 1261892996482553330703662111/2315250000000000000000000 (+ (* 16055934341359023345617179/36750000000000000000000 (/ 1 z)) (/ 1382761731551712743134679/5250000000000000000000 (pow z 2)))) z)) 19664514596894233501133157847/32413500000000000000000000)))
(+ 9999999999998099/10000000000000000 (* -1 (/ (- (* -1 (/ (+ 3683516130645841/2000000000000 (* 43600364987677261/10000000000000 (/ 1 z))) z)) 5826188486005177/10000000000000) z)))
(* -1 (/ (+ 154609652292764811/12500000000000000 (+ (* 1542632245546005107/25000000000000000 (/ 1 z)) (/ 7692375563440167517/25000000000000000 (pow z 2)))) z))
(* -1 (/ (+ 154609652292764811/12500000000000000 (* -1 (/ (- (* -1 (/ (+ 7692375563440167517/25000000000000000 (* 38337163831461689477/25000000000000000 (/ 1 z))) z)) 1542632245546005107/25000000000000000) z))) z))
(* -1 (/ (+ 253373321288362579/25000000000000000000000 (+ (/ 3117938492674466389/6250000000000000000000 (pow z 2)) (* 444344332714102833/6250000000000000000000 (/ 1 z)))) z))
(* -1 (/ (+ 253373321288362579/25000000000000000000000 (* -1 (/ (- (* -1 (/ (+ 3117938492674466389/6250000000000000000000 (* 21885794758127237187/6250000000000000000000 (/ 1 z))) z)) 444344332714102833/6250000000000000000000) z))) z))

Calls

3 calls:

Time	Variable		Point	Expression
16.0ms	z	@	inf	((* (/ (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 (+ (+ (/ -3147848041806007/2500000000000 (- (- 1 z) -1)) (/ 6765203681218851/10000000000000 (- 1 z))) (+ (/ -883075145810703/5000000000000 (- (- 1 z) -3)) (/ 7713234287776531/10000000000000 (- (- 1 z) -2))))) (/ 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)) (* (PI) z) 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 (+ (+ (/ -3147848041806007/2500000000000 (- (- 1 z) -1)) (/ 6765203681218851/10000000000000 (- 1 z))) (+ (/ -883075145810703/5000000000000 (- (- 1 z) -3)) (/ 7713234287776531/10000000000000 (- (- 1 z) -2))))) (/ 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)))) (* (* (sqrt (PI)) (pow (- 15/2 z) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))) (* (sqrt (PI)) (pow (- 15/2 z) (- 1/2 z))) (sqrt (PI)) (pow (- 15/2 z) (- 1/2 z)) (- 15/2 z) 15/2 (- 1/2 z) 1/2 (* (exp (- z 15/2)) (sqrt 2)) (exp (- z 15/2)) (- z 15/2) (sqrt 2) 2 (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (+ (+ (/ -3147848041806007/2500000000000 (- (- 1 z) -1)) (/ 6765203681218851/10000000000000 (- 1 z))) (+ (/ -883075145810703/5000000000000 (- (- 1 z) -3)) (/ 7713234287776531/10000000000000 (- (- 1 z) -2))))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))) (+ (+ (+ (+ 9999999999998099/10000000000000000 (+ (+ (/ -3147848041806007/2500000000000 (- (- 1 z) -1)) (/ 6765203681218851/10000000000000 (- 1 z))) (+ (/ -883075145810703/5000000000000 (- (- 1 z) -3)) (/ 7713234287776531/10000000000000 (- (- 1 z) -2))))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (+ (+ (+ 9999999999998099/10000000000000000 (+ (+ (/ -3147848041806007/2500000000000 (- (- 1 z) -1)) (/ 6765203681218851/10000000000000 (- 1 z))) (+ (/ -883075145810703/5000000000000 (- (- 1 z) -3)) (/ 7713234287776531/10000000000000 (- (- 1 z) -2))))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (+ (+ 9999999999998099/10000000000000000 (+ (+ (/ -3147848041806007/2500000000000 (- (- 1 z) -1)) (/ 6765203681218851/10000000000000 (- 1 z))) (+ (/ -883075145810703/5000000000000 (- (- 1 z) -3)) (/ 7713234287776531/10000000000000 (- (- 1 z) -2))))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (+ 9999999999998099/10000000000000000 (+ (+ (/ -3147848041806007/2500000000000 (- (- 1 z) -1)) (/ 6765203681218851/10000000000000 (- 1 z))) (+ (/ -883075145810703/5000000000000 (- (- 1 z) -3)) (/ 7713234287776531/10000000000000 (- (- 1 z) -2))))) 9999999999998099/10000000000000000 (+ (+ (/ -3147848041806007/2500000000000 (- (- 1 z) -1)) (/ 6765203681218851/10000000000000 (- 1 z))) (+ (/ -883075145810703/5000000000000 (- (- 1 z) -3)) (/ 7713234287776531/10000000000000 (- (- 1 z) -2)))) (+ (/ -3147848041806007/2500000000000 (- (- 1 z) -1)) (/ 6765203681218851/10000000000000 (- 1 z))) (/ -3147848041806007/2500000000000 (- (- 1 z) -1)) -3147848041806007/2500000000000 (- (- 1 z) -1) (- 1 z) 1 -1 (/ 6765203681218851/10000000000000 (- 1 z)) 6765203681218851/10000000000000 (+ (/ -883075145810703/5000000000000 (- (- 1 z) -3)) (/ 7713234287776531/10000000000000 (- (- 1 z) -2))) (/ -883075145810703/5000000000000 (- (- 1 z) -3)) -883075145810703/5000000000000 (- (- 1 z) -3) -3 (/ 7713234287776531/10000000000000 (- (- 1 z) -2)) 7713234287776531/10000000000000 (- (- 1 z) -2) -2 (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5)) 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5) (- (- 1 z) 1) 5 (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6)) -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6) 6 (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7)) 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7) 7 (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)) 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8) 8 (* (/ (PI) (sin (* (PI) z))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (* (/ (* (sqrt (* (PI) 15)) (exp -15/2)) z) 1106209385320415913103082059/4200000000000000000000000) (/ (* (sqrt (* (PI) 15)) (exp -15/2)) z) (* (sqrt (* (PI) 15)) (exp -15/2)) (sqrt (* (PI) 15)) (* (PI) 15) 15 (exp -15/2) -15/2 1106209385320415913103082059/4200000000000000000000000 (* (/ (PI) (sin (* (PI) z))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 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)))) (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (sqrt (* (PI) 2)) (* (PI) 2) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2)) (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2))) (neg (+ (+ (- (- 1 z) 1) 7) 1/2)) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))) (+ (* (+ (* (+ (* 4027292589444183035165374538123333/6638284800000000000000000000000 z) 64608921419941589693928044520019/118540800000000000000000000000) z) 102757979785251069442117317613/235200000000000000000000000) z) 1106209385320415913103082059/4200000000000000000000000) (+ (* (+ (* 4027292589444183035165374538123333/6638284800000000000000000000000 z) 64608921419941589693928044520019/118540800000000000000000000000) z) 102757979785251069442117317613/235200000000000000000000000) (+ (* 4027292589444183035165374538123333/6638284800000000000000000000000 z) 64608921419941589693928044520019/118540800000000000000000000000) 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Time

Variable

Point

Expression

16.0ms

inf

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10.0ms

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9.0ms

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64608921419941589693928044520019/118540800000000000000000000000 102757979785251069442117317613/235200000000000000000000000 (* (/ (PI) (sin (* (PI) z))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (/ (PI) (sin (* (PI) z))) (sin (* (PI) z)) (* (+ (* (* -1/6 (* z z)) (pow (PI) 3)) (PI)) z) (+ (* (* -1/6 (* z z)) (pow (PI) 3)) (PI)) (* -1/6 (* z z)) -1/6 (* z z) (pow (PI) 3) 3 (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))) (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (+ (* (+ (* (+ (* 19664514596894233501133157847/32413500000000000000000000 z) 1261892996482553330703662111/2315250000000000000000000) z) 16055934341359023345617179/36750000000000000000000) z) 1382761731551712743134679/5250000000000000000000) (+ (* (+ (* 19664514596894233501133157847/32413500000000000000000000 z) 1261892996482553330703662111/2315250000000000000000000) z) 16055934341359023345617179/36750000000000000000000) (+ (* 19664514596894233501133157847/32413500000000000000000000 z) 1261892996482553330703662111/2315250000000000000000000) 19664514596894233501133157847/32413500000000000000000000 1261892996482553330703662111/2315250000000000000000000 16055934341359023345617179/36750000000000000000000 1382761731551712743134679/5250000000000000000000 (* (/ (PI) (sin (* (PI) z))) (* (+ (+ (+ (+ 9999999999998099/10000000000000000 (+ (/ 6765203681218851/10000000000000 (- 1 z)) (/ -3147848041806007/2500000000000 (- (- 1 z) -1)))) (+ (/ 7713234287776531/10000000000000 (- (- 1 z) -2)) (/ -883075145810703/5000000000000 (- (- 1 z) -3)))) (+ (/ 2501468655737381/200000000000000 (- (- 1 z) -4)) (/ -3464277381643003/25000000000000000 (- (- 1 z) -5)))) (+ (/ 2496092394504893/250000000000000000000 (- (- 1 z) -6)) (/ 3764081837873279/25000000000000000000000 (- (- 1 z) -7)))) (* (exp (neg (+ 1/2 (- (- 1 z) -6)))) (* (pow (+ 1/2 (- (- 1 z) -6)) (- (- 1 z) 1/2)) (sqrt (* 2 (PI))))))) (* (+ (+ (+ (+ 9999999999998099/10000000000000000 (+ (/ 6765203681218851/10000000000000 (- 1 z)) (/ -3147848041806007/2500000000000 (- (- 1 z) -1)))) (+ (/ 7713234287776531/10000000000000 (- (- 1 z) -2)) (/ -883075145810703/5000000000000 (- (- 1 z) -3)))) (+ (/ 2501468655737381/200000000000000 (- (- 1 z) -4)) (/ -3464277381643003/25000000000000000 (- (- 1 z) -5)))) (+ (/ 2496092394504893/250000000000000000000 (- (- 1 z) -6)) (/ 3764081837873279/25000000000000000000000 (- (- 1 z) -7)))) (* (exp (neg (+ 1/2 (- (- 1 z) -6)))) (* (pow (+ 1/2 (- (- 1 z) -6)) (- (- 1 z) 1/2)) (sqrt (* 2 (PI)))))) (+ (+ (+ (+ 9999999999998099/10000000000000000 (+ (/ 6765203681218851/10000000000000 (- 1 z)) (/ -3147848041806007/2500000000000 (- (- 1 z) -1)))) (+ (/ 7713234287776531/10000000000000 (- (- 1 z) -2)) (/ -883075145810703/5000000000000 (- (- 1 z) -3)))) (+ (/ 2501468655737381/200000000000000 (- (- 1 z) -4)) (/ 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-3147848041806007/2500000000000 (- (- 1 z) -1))) (+ (/ 7713234287776531/10000000000000 (- (- 1 z) -2)) (/ -883075145810703/5000000000000 (- (- 1 z) -3))) (+ (/ 2501468655737381/200000000000000 (- (- 1 z) -4)) (/ -3464277381643003/25000000000000000 (- (- 1 z) -5))) (/ 2501468655737381/200000000000000 (- (- 1 z) -4)) (- (- 1 z) -4) -4 (/ -3464277381643003/25000000000000000 (- (- 1 z) -5)) (- (- 1 z) -5) -5 (+ (/ 2496092394504893/250000000000000000000 (- (- 1 z) -6)) (/ 3764081837873279/25000000000000000000000 (- (- 1 z) -7))) (/ 2496092394504893/250000000000000000000 (- (- 1 z) -6)) (- (- 1 z) -6) -6 (/ 3764081837873279/25000000000000000000000 (- (- 1 z) -7)) (- (- 1 z) -7) -7 (* (exp (neg (+ 1/2 (- (- 1 z) -6)))) (* (pow (+ 1/2 (- (- 1 z) -6)) (- (- 1 z) 1/2)) (sqrt (* 2 (PI))))) (exp (neg (+ 1/2 (- (- 1 z) -6)))) (neg (+ 1/2 (- (- 1 z) -6))) (+ 1/2 (- (- 1 z) -6)) (* (pow (+ 1/2 (- (- 1 z) -6)) (- (- 1 z) 1/2)) (sqrt (* 2 (PI)))) (pow (+ 1/2 (- (- 1 z) -6)) (- (- 1 z) 1/2)) (- (- 1 z) 1/2) (sqrt (* 2 (PI))) (* 2 (PI)))

simplify240.0ms (1.1%)

Memory

43.0MiB live, 318.9MiB allocated; 41ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1389	5693
1	4827	5679
0	8832	5380

Stop Event

1×	iter limit
1×	node limit

Counts

344 → 343

Calls

Call 1

Inputs
(* 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))))))))
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))))))))))
(* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))))
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(* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))
(* (sqrt (PI)) (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))))
(exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z))))
(* -1 (* z (- 1 (* 15/2 (/ 1 z)))))
(* -1 (* z (- 1 (* 1/2 (/ 1 z)))))
(* (exp (neg (+ 15/2 (* -1 z)))) (sqrt 2))
(exp (neg (+ 15/2 (* -1 z))))
(* -1 (* z (- (* 15/2 (/ 1 z)) 1)))
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(* -1 (/ (- (* -1 (/ (+ 3147848041806007/1250000000000 (* 3147848041806007/625000000000 (/ 1 z))) z)) 3147848041806007/2500000000000) z))
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(* -1 (/ (+ 47576671969241/80000000000 (+ (* 16075101696843969/10000000000000 (/ 1 z)) (/ 41160703924046283/10000000000000 (pow z 2)))) z))
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(* -1 (/ (+ 154609652292764811/12500000000000000 (* -1 (/ (- (* -1 (/ (+ 7692375563440167517/25000000000000000 (* 38337163831461689477/25000000000000000 (/ 1 z))) z)) 1542632245546005107/25000000000000000) z))) z))
(* -1 (/ (+ 253373321288362579/25000000000000000000000 (+ (/ 3117938492674466389/6250000000000000000000 (pow z 2)) (* 444344332714102833/6250000000000000000000 (/ 1 z)))) z))
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Outputs
(* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) z) (sqrt (PI))))
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15/2
#s(literal 15/2 binary64)
(+ 15/2 (* -1 z))
(fma.f64 #s(literal -1 binary64) z #s(literal 15/2 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1 z))
(fma.f64 #s(literal -1 binary64) z #s(literal 1/2 binary64))
(* (exp -15/2) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 #s(literal -15/2 binary64)))
(+ (* z (* (exp -15/2) (sqrt 2))) (* (exp -15/2) (sqrt 2)))
(.f64 (+.f64 z #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 #s(literal -15/2 binary64))))
(+ (* z (+ (* 1/2 (* z (* (exp -15/2) (sqrt 2)))) (* (exp -15/2) (sqrt 2)))) (* (exp -15/2) (sqrt 2)))
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(exp -15/2)
(exp.f64 #s(literal -15/2 binary64))
(+ (exp -15/2) (* z (exp -15/2)))
(fma.f64 (exp.f64 #s(literal -15/2 binary64)) z (exp.f64 #s(literal -15/2 binary64)))
(+ (exp -15/2) (* z (+ (exp -15/2) (* 1/2 (* z (exp -15/2))))))
(fma.f64 (fma.f64 (*.f64 (exp.f64 #s(literal -15/2 binary64)) z) #s(literal 1/2 binary64) (exp.f64 #s(literal -15/2 binary64))) z (exp.f64 #s(literal -15/2 binary64)))
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-15/2
#s(literal -15/2 binary64)
(- z 15/2)
(-.f64 z #s(literal 15/2 binary64))
1106209385320415913103082059/4200000000000000000000000
#s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)
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1382761731551712743134679/5250000000000000000000
#s(literal 1382761731551712743134679/5250000000000000000000 binary64)
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9876869457595968283/37500000000000000
#s(literal 9876869457595968283/37500000000000000 binary64)
(+ 9876869457595968283/37500000000000000 (* 131068851705067315609/300000000000000000 z))
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7902188421553103227/30000000000000000
#s(literal 7902188421553103227/30000000000000000 binary64)
(+ 7902188421553103227/30000000000000000 (* 39321001939258358983/90000000000000000 z))
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7827144361880981797/30000000000000000
#s(literal 7827144361880981797/30000000000000000 binary64)
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623771548950479/2400000000000
#s(literal 623771548950479/2400000000000 binary64)
(+ 623771548950479/2400000000000 (* 314207804027640689/720000000000000 z))
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469507597606837/10000000000000
#s(literal 469507597606837/10000000000000 binary64)
(+ 469507597606837/10000000000000 (* 904338909853211/2500000000000 z))
(fma.f64 #s(literal 904338909853211/2500000000000 binary64) z #s(literal 469507597606837/10000000000000 binary64))
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-3147848041806007/5000000000000
#s(literal -3147848041806007/5000000000000 binary64)
(- (* -3147848041806007/10000000000000 z) 3147848041806007/5000000000000)
(-.f64 (*.f64 #s(literal -3147848041806007/10000000000000 binary64) z) #s(literal 3147848041806007/5000000000000 binary64))
(- (* z (- (* -3147848041806007/20000000000000 z) 3147848041806007/10000000000000)) 3147848041806007/5000000000000)
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(- (* z (- (* z (- (* -3147848041806007/40000000000000 z) 3147848041806007/20000000000000)) 3147848041806007/10000000000000)) 3147848041806007/5000000000000)
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2
#s(literal 2 binary64)
(+ 2 (* -1 z))
(fma.f64 #s(literal -1 binary64) z #s(literal 2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 z))
(fma.f64 #s(literal -1 binary64) z #s(literal 1 binary64))
6765203681218851/10000000000000
#s(literal 6765203681218851/10000000000000 binary64)
(+ 6765203681218851/10000000000000 (* 6765203681218851/10000000000000 z))
(fma.f64 #s(literal 6765203681218851/10000000000000 binary64) z #s(literal 6765203681218851/10000000000000 binary64))
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12777243138120953/60000000000000
#s(literal 12777243138120953/60000000000000 binary64)
(+ 12777243138120953/60000000000000 (* 53758197989915921/720000000000000 z))
(fma.f64 #s(literal 53758197989915921/720000000000000 binary64) z #s(literal 12777243138120953/60000000000000 binary64))
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(+ 12777243138120953/60000000000000 (* z (+ 53758197989915921/720000000000000 (* z (+ 222980468271960011/8640000000000000 (* 36630596080989161/4147200000000000 z))))))
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-883075145810703/20000000000000
#s(literal -883075145810703/20000000000000 binary64)
(- (* -883075145810703/80000000000000 z) 883075145810703/20000000000000)
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(- (* z (- (* -883075145810703/320000000000000 z) 883075145810703/80000000000000)) 883075145810703/20000000000000)
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(- (* z (- (* z (- (* -883075145810703/1280000000000000 z) 883075145810703/320000000000000)) 883075145810703/80000000000000)) 883075145810703/20000000000000)
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4
#s(literal 4 binary64)
(+ 4 (* -1 z))
(fma.f64 #s(literal -1 binary64) z #s(literal 4 binary64))
7713234287776531/30000000000000
#s(literal 7713234287776531/30000000000000 binary64)
(+ 7713234287776531/30000000000000 (* 7713234287776531/90000000000000 z))
(fma.f64 #s(literal 7713234287776531/90000000000000 binary64) z #s(literal 7713234287776531/30000000000000 binary64))
(+ 7713234287776531/30000000000000 (* z (+ 7713234287776531/90000000000000 (* 7713234287776531/270000000000000 z))))
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(+ 7713234287776531/30000000000000 (* z (+ 7713234287776531/90000000000000 (* z (+ 7713234287776531/270000000000000 (* 7713234287776531/810000000000000 z))))))
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3
#s(literal 3 binary64)
(+ 3 (* -1 z))
(fma.f64 #s(literal -1 binary64) z #s(literal 3 binary64))
2501468655737381/1000000000000000
#s(literal 2501468655737381/1000000000000000 binary64)
(+ 2501468655737381/1000000000000000 (* 2501468655737381/5000000000000000 z))
(fma.f64 #s(literal 2501468655737381/5000000000000000 binary64) z #s(literal 2501468655737381/1000000000000000 binary64))
(+ 2501468655737381/1000000000000000 (* z (+ 2501468655737381/5000000000000000 (* 2501468655737381/25000000000000000 z))))
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(+ 2501468655737381/1000000000000000 (* z (+ 2501468655737381/5000000000000000 (* z (+ 2501468655737381/25000000000000000 (* 2501468655737381/125000000000000000 z))))))
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5
#s(literal 5 binary64)
(+ 5 (* -1 z))
(fma.f64 #s(literal -1 binary64) z #s(literal 5 binary64))
(* -1 z)
(neg.f64 z)
-3464277381643003/150000000000000000
#s(literal -3464277381643003/150000000000000000 binary64)
(- (* -3464277381643003/900000000000000000 z) 3464277381643003/150000000000000000)
(-.f64 (*.f64 #s(literal -3464277381643003/900000000000000000 binary64) z) #s(literal 3464277381643003/150000000000000000 binary64))
(- (* z (- (* -3464277381643003/5400000000000000000 z) 3464277381643003/900000000000000000)) 3464277381643003/150000000000000000)
(-.f64 (.f64 (-.f64 (.f64 #s(literal -3464277381643003/5400000000000000000 binary64) z) #s(literal 3464277381643003/900000000000000000 binary64)) z) #s(literal 3464277381643003/150000000000000000 binary64))
(- (* z (- (* z (- (* -3464277381643003/32400000000000000000 z) 3464277381643003/5400000000000000000)) 3464277381643003/900000000000000000)) 3464277381643003/150000000000000000)
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6
#s(literal 6 binary64)
(+ 6 (* -1 z))
(fma.f64 #s(literal -1 binary64) z #s(literal 6 binary64))
2496092394504893/1750000000000000000000
#s(literal 2496092394504893/1750000000000000000000 binary64)
(+ 2496092394504893/1750000000000000000000 (* 2496092394504893/12250000000000000000000 z))
(fma.f64 #s(literal 2496092394504893/12250000000000000000000 binary64) z #s(literal 2496092394504893/1750000000000000000000 binary64))
(+ 2496092394504893/1750000000000000000000 (* z (+ 2496092394504893/12250000000000000000000 (* 2496092394504893/85750000000000000000000 z))))
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7
#s(literal 7 binary64)
(+ 7 (* -1 z))
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(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 856159691315178299/250000000000000000000 binary64) z) #s(literal 122308527330739757/250000000000000000000 binary64)) z) #s(literal -1 binary64) #s(literal -17472646761534251/250000000000000000000 binary64)) z) #s(literal -1 binary64) #s(literal 2496092394504893/250000000000000000000 binary64)) (neg.f64 z))
(* -1 (* z (- 1 (* 7 (/ 1 z)))))
(*.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 7 binary64) z)))
(* -1 (/ (+ 3764081837873279/25000000000000000000000 (+ (/ 3764081837873279/390625000000000000000 (pow z 2)) (* 3764081837873279/3125000000000000000000 (/ 1 z)))) z))
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(* -1 (/ (+ 3764081837873279/25000000000000000000000 (* -1 (/ (- (* -1 (/ (+ 3764081837873279/390625000000000000000 (* 3764081837873279/48828125000000000000 (/ 1 z))) z)) 3764081837873279/3125000000000000000000) z))) z))
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(* -1 (* z (- 1 (* 8 (/ 1 z)))))
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rewrite464.0ms (2.1%)

Memory

20.0MiB live, 492.4MiB allocated; 75ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	184	2593
0	305	2345
1	1440	2345
0	8458	2345

Stop Event

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

Counts

142 → 1 288

Calls

Call 1

Inputs
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(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
(PI.f64)
(sin.f64 (*.f64 (PI.f64) z))
(*.f64 (PI.f64) z)
z
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#s(approx (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (.f64 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (*.f64 (exp.f64 (-.f64 z #s(literal 15/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
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(+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -4 binary64))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -5 binary64))))
(/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -4 binary64)))
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -4 binary64))
#s(literal -4 binary64)
(/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -5 binary64)))
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -5 binary64))
#s(literal -5 binary64)
(+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -7 binary64))))
(/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64)))
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))
#s(literal -6 binary64)
(/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -7 binary64)))
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -7 binary64))
#s(literal -7 binary64)
(.f64 (exp.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))))) (.f64 (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))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))))
(exp.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64)))))
(neg.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))))
(+.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64)))
(.f64 (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))) (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))))
(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 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))
(*.f64 #s(literal 2 binary64) (PI.f64))

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

eval670.0ms (3.1%)

Memory: -40.7MiB live, 987.1MiB allocated; 206ms collecting garbage
Compiler: Compiled 329 719 to 13 578 computations (95.9% saved)

prune271.0ms (1.3%)

Memory

3.4MiB live, 523.5MiB allocated; 44ms collecting garbage

Pruning

65 alts after pruning (64 fresh and 1 done)

	Pruned	Kept	Total
New	2 107	40	2 147
Fresh	25	24	49
Picked	4	1	5
Done	0	0	0
Total	2 136	65	2 201

Accuracy

100.0%

Counts

2 201 → 65

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.5%	(/.f64 (.f64 (.f64 (PI.f64) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -7 binary64))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -5 binary64))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -4 binary64))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) (+.f64 (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 z #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 z #s(literal -1 binary64)) (+.f64 z #s(literal -1 binary64)) (.f64 #s(literal 1 binary64) (+.f64 z #s(literal -1 binary64))))))) #s(literal 9999999999998099/10000000000000000 binary64)) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)))))))))) (.f64 (exp.f64 (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 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))) (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64)))))) (sin.f64 (*.f64 z (PI.f64))))
	96.4%	(/.f64 (.f64 (.f64 (PI.f64) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -7 binary64))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -5 binary64))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -4 binary64))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) (+.f64 (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) #s(literal 9999999999998099/10000000000000000 binary64)) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)))))))))) (.f64 (exp.f64 (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)))) (.f64 (exp.f64 (.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)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64)))))) (sin.f64 (*.f64 z (PI.f64))))
	95.9%	(/.f64 (.f64 (PI.f64) (.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64))) (+.f64 (+.f64 (/.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 #s(literal 1 binary64) z) #s(literal -2 binary64))))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -4 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -5 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -7 binary64)))) (.f64 (exp.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))))) (.f64 (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))) (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))))))) (sin.f64 (.f64 z (PI.f64))))
	97.3%	(/.f64 (.f64 (PI.f64) (.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64)))) (+.f64 (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -5 binary64))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -4 binary64)))) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -7 binary64))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64)))))) #s(approx (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (-.f64 z #s(literal 15/2 binary64)))) (.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (sqrt.f64 (PI.f64))))))) (sin.f64 (.f64 z (PI.f64))))
	97.6%	(/.f64 (.f64 (PI.f64) (.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64))))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -4 binary64))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -5 binary64))))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -7 binary64))))) (.f64 (exp.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))))) (.f64 (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))) (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))))))) (sin.f64 (.f64 z (PI.f64))))
	4.1%	(/.f64 (.f64 #s(approx ( (PI) (+ (/ 3764081837873279/25000000000000000000000 (- (- 1 z) -7)) (+ (/ 2496092394504893/250000000000000000000 (- (- 1 z) -6)) (+ (/ -3464277381643003/25000000000000000 (- (- 1 z) -5)) (+ (/ 2501468655737381/200000000000000 (- (- 1 z) -4)) (+ (/ -883075145810703/5000000000000 (- (- 1 z) -3)) (+ (/ 7713234287776531/10000000000000 (- (- 1 z) -2)) (+ (+ (/ -3147848041806007/2500000000000 (- (- 1 z) -1)) 9999999999998099/10000000000000000) (/ 6765203681218851/10000000000000 (- 1 z)))))))))) (fma.f64 (/.f64 (PI.f64) z) #s(literal -611458333333720910362579/25000000000000000000000 binary64) (.f64 #s(literal 9999999999998099/10000000000000000 binary64) (PI.f64)))) (.f64 (exp.f64 (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 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))) (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64)))))) (sin.f64 (*.f64 z (PI.f64))))
	6.4%	(/.f64 (.f64 #s(approx ( (PI) (+ (/ 3764081837873279/25000000000000000000000 (- (- 1 z) -7)) (+ (/ 2496092394504893/250000000000000000000 (- (- 1 z) -6)) (+ (/ -3464277381643003/25000000000000000 (- (- 1 z) -5)) (+ (/ 2501468655737381/200000000000000 (- (- 1 z) -4)) (+ (/ -883075145810703/5000000000000 (- (- 1 z) -3)) (+ (/ 7713234287776531/10000000000000 (- (- 1 z) -2)) (+ (+ (/ -3147848041806007/2500000000000 (- (- 1 z) -1)) 9999999999998099/10000000000000000) (/ 6765203681218851/10000000000000 (- 1 z)))))))))) (fma.f64 #s(literal 9999999999998099/10000000000000000 binary64) (PI.f64) (/.f64 (fma.f64 #s(literal -1078390842009938509147167/6250000000000000000000 binary64) (/.f64 (PI.f64) z) (.f64 #s(literal 611458333333720910362579/25000000000000000000000 binary64) (PI.f64))) (neg.f64 z)))) (.f64 (exp.f64 (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 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))) (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64)))))) (sin.f64 (*.f64 z (PI.f64))))
	13.9%	(/.f64 (.f64 #s(approx ( (PI) (+ (/ 3764081837873279/25000000000000000000000 (- (- 1 z) -7)) (+ (/ 2496092394504893/250000000000000000000 (- (- 1 z) -6)) (+ (/ -3464277381643003/25000000000000000 (- (- 1 z) -5)) (+ (/ 2501468655737381/200000000000000 (- (- 1 z) -4)) (+ (/ -883075145810703/5000000000000 (- (- 1 z) -3)) (+ (/ 7713234287776531/10000000000000 (- (- 1 z) -2)) (+ (+ (/ -3147848041806007/2500000000000 (- (- 1 z) -1)) 9999999999998099/10000000000000000) (/ 6765203681218851/10000000000000 (- 1 z)))))))))) (.f64 #s(literal 9999999999998099/10000000000000000 binary64) (PI.f64))) (.f64 (exp.f64 (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 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))) (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64)))))) (sin.f64 (*.f64 z (PI.f64))))
	6.0%	(/.f64 (neg.f64 (.f64 (PI.f64) (.f64 #s(approx (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))) (fma.f64 (fma.f64 (fma.f64 #s(literal 4027292589444183035165374538123333/6638284800000000000000000000000 binary64) z #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64)) z #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64)) z #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))) (.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64)) #s(literal 1/2 binary64)))) (.f64 (pow.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64)) #s(literal 1/2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))))))) (sin.f64 (fma.f64 z (PI.f64) (PI.f64))))
	95.0%	(/.f64 #s(approx (* (* (PI) (+ (/ 3764081837873279/25000000000000000000000 (- (- 1 z) -7)) (+ (/ 2496092394504893/250000000000000000000 (- (- 1 z) -6)) (+ (/ -3464277381643003/25000000000000000 (- (- 1 z) -5)) (+ (/ 2501468655737381/200000000000000 (- (- 1 z) -4)) (+ (/ -883075145810703/5000000000000 (- (- 1 z) -3)) (+ (/ 7713234287776531/10000000000000 (- (- 1 z) -2)) (+ (+ (/ -3147848041806007/2500000000000 (- (- 1 z) -1)) 9999999999998099/10000000000000000) (/ 6765203681218851/10000000000000 (- 1 z)))))))))) (* (exp (neg (- (- 1 z) -13/2))) (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* 2 (PI)))))) (.f64 (.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))) (.f64 (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 #s(literal -15/2 binary64))))) (sin.f64 (*.f64 z (PI.f64))))
	7.3%	(.f64 (/.f64 (neg.f64 (PI.f64)) (sin.f64 (fma.f64 z (PI.f64) (PI.f64)))) (.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64))))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -4 binary64))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -5 binary64))))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -7 binary64))))) (.f64 (exp.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))))) (.f64 (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))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))))))
	97.9%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (.f64 z (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64))))) (.f64 (.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
	97.3%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64)))) (+.f64 (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -5 binary64))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -4 binary64)))) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -7 binary64))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64)))))) #s(approx ( (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (-.f64 z #s(literal 15/2 binary64)))) (*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (sqrt.f64 (PI.f64)))))))
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	95.4%	(.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 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 #s(approx (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (fma.f64 (fma.f64 (fma.f64 #s(literal 19664514596894233501133157847/32413500000000000000000000 binary64) z #s(literal 1261892996482553330703662111/2315250000000000000000000 binary64)) z #s(literal 16055934341359023345617179/36750000000000000000000 binary64)) z #s(literal 1382761731551712743134679/5250000000000000000000 binary64))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
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▶	96.3%	(.f64 #s(approx (/ (PI) (sin ( (PI) z))) (/.f64 #s(literal 1 binary64) z)) (.f64 #s(approx ( (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (.f64 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (*.f64 (exp.f64 (-.f64 z #s(literal 15/2 binary64))) (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.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))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)))))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
	94.6%	#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (/.f64 (.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 15 binary64))) (exp.f64 #s(literal -15/2 binary64))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) z))
	95.7%	#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 (.f64 (/.f64 (PI.f64) (sqrt.f64 (PI.f64))) (.f64 (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 #s(literal -15/2 binary64)))) z) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))
	66.4%	#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (/.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 15 binary64))) (+.f64 (cosh.f64 #s(literal -15/2 binary64)) (sinh.f64 #s(literal -15/2 binary64)))) z) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))
✓	95.0%	#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 (.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 15 binary64))) (exp.f64 #s(literal -15/2 binary64))) z) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))
▶	94.9%	#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 (*.f64 #s(literal 15 binary64) (PI.f64))) (/.f64 (exp.f64 #s(literal -15/2 binary64)) z)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))
	95.1%	#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 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (exp.f64 #s(literal -15/2 binary64)) (sqrt.f64 #s(literal 15 binary64))) z)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))
	95.4%	#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 #s(approx (/ ( (sqrt (* (PI) 15)) (exp -15/2)) z) (.f64 (.f64 (exp.f64 #s(literal -15/2 binary64)) (/.f64 (sqrt.f64 #s(literal 15 binary64)) z)) (sqrt.f64 (PI.f64)))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))

Compiler

Compiled 16 697 to 9 697 computations (41.9% saved)

series36.0ms (0.2%)

Memory

33.6MiB live, 80.1MiB allocated; 2ms collecting garbage

Counts

113 → 313

Calls

Call 1

Inputs
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 #s(approx ( (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (.f64 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (.f64 (exp.f64 (-.f64 z #s(literal 15/2 binary64))) (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 (fma.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.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) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)))))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
(PI.f64)
(sin.f64 (*.f64 (PI.f64) z))
(*.f64 (PI.f64) z)
z
(.f64 #s(approx ( (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (.f64 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (.f64 (exp.f64 (-.f64 z #s(literal 15/2 binary64))) (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 (fma.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.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) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)))))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64)))))
#s(approx (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (.f64 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (*.f64 (exp.f64 (-.f64 z #s(literal 15/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (*.f64 (exp.f64 (-.f64 z #s(literal 15/2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))
(sqrt.f64 (PI.f64))
(pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))
(-.f64 #s(literal 15/2 binary64) z)
#s(literal 15/2 binary64)
(-.f64 #s(literal 1/2 binary64) z)
#s(literal 1/2 binary64)
(*.f64 (exp.f64 (-.f64 z #s(literal 15/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(exp.f64 (-.f64 z #s(literal 15/2 binary64)))
(-.f64 z #s(literal 15/2 binary64))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 (fma.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.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) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)))))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 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 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 (fma.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.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) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)))))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 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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#s(literal 1261892996482553330703662111/2315250000000000000000000 binary64)
#s(literal 16055934341359023345617179/36750000000000000000000 binary64)
#s(literal 1382761731551712743134679/5250000000000000000000 binary64)

Outputs
(* 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))))))))
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))))))))))
(* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))))
(+ (* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))) (* (* z (+ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15)))))) (sqrt (PI))))
(+ (* z (+ (* (sqrt (PI)) (+ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15)))))) (* (* z (+ (* 1/2 (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))) (+ (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2)))))) (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))))))) (sqrt (PI))))) (* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))))
(+ (* z (+ (* z (+ (* (sqrt (PI)) (+ (* 1/2 (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))) (+ (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2)))))) (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))))))) (* (* z (+ (* 1/6 (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))) (+ (* 1/2 (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))))) (+ (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (+ 86/10125 (+ (* 29/225 (- (* -1 (log 15/2)) 1/15)) (* 1/6 (pow (- (* -1 (log 15/2)) 1/15) 3))))))) (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2)))))))))) (sqrt (PI))))) (* (sqrt (PI)) (+ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15)))))))) (* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))))
(* (sqrt (PI)) (sqrt 15/2))
(+ (* (sqrt (PI)) (sqrt 15/2)) (* (* z (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (sqrt (PI))))
(+ (* z (+ (* (sqrt (PI)) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* (* z (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (sqrt (PI))))) (* (sqrt (PI)) (sqrt 15/2)))
(+ (* z (+ (* z (+ (* (sqrt (PI)) (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (* (* z (* (sqrt 15/2) (+ 86/10125 (+ (* 29/225 (- (* -1 (log 15/2)) 1/15)) (* 1/6 (pow (- (* -1 (log 15/2)) 1/15) 3)))))) (sqrt (PI))))) (* (sqrt (PI)) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))))) (* (sqrt (PI)) (sqrt 15/2)))
(sqrt 15/2)
(+ (sqrt 15/2) (* z (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))))
(+ (sqrt 15/2) (* z (+ (* z (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15)))))
(+ (sqrt 15/2) (* z (+ (* z (+ (* z (* (sqrt 15/2) (+ 86/10125 (+ (* 29/225 (- (* -1 (log 15/2)) 1/15)) (* 1/6 (pow (- (* -1 (log 15/2)) 1/15) 3)))))) (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2)))))) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15)))))
15/2
(+ 15/2 (* -1 z))
1/2
(+ 1/2 (* -1 z))
(* (exp -15/2) (sqrt 2))
(+ (* z (* (exp -15/2) (sqrt 2))) (* (exp -15/2) (sqrt 2)))
(+ (* z (+ (* 1/2 (* z (* (exp -15/2) (sqrt 2)))) (* (exp -15/2) (sqrt 2)))) (* (exp -15/2) (sqrt 2)))
(+ (* z (+ (* z (+ (* 1/6 (* z (* (exp -15/2) (sqrt 2)))) (* 1/2 (* (exp -15/2) (sqrt 2))))) (* (exp -15/2) (sqrt 2)))) (* (exp -15/2) (sqrt 2)))
(exp -15/2)
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(* z (+ 19664514596894233501133157847/32413500000000000000000000 (* 1261892996482553330703662111/2315250000000000000000000 (/ 1 z))))
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Calls

3 calls:

Time

Variable

Point

Expression

8.0ms

-inf

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8.0ms

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1261892996482553330703662111/2315250000000000000000000) z) 16055934341359023345617179/36750000000000000000000) (+ (* 19664514596894233501133157847/32413500000000000000000000 z) 1261892996482553330703662111/2315250000000000000000000) 19664514596894233501133157847/32413500000000000000000000 1261892996482553330703662111/2315250000000000000000000 16055934341359023345617179/36750000000000000000000 1382761731551712743134679/5250000000000000000000)

7.0ms

inf

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7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))) (- 9999999999998099/10000000000000000 (/ 611458333333720910362579/25000000000000000000000 z)) (/ 611458333333720910362579/25000000000000000000000 z) 611458333333720910362579/25000000000000000000000 (* (/ (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 (+ (+ (/ -3147848041806007/2500000000000 (- (- 1 z) -1)) (/ 6765203681218851/10000000000000 (- 1 z))) (+ (/ -883075145810703/5000000000000 (- (- 1 z) -3)) (/ 7713234287776531/10000000000000 (- (- 1 z) -2))))) (/ 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))) (/ 1 z) (* (* (* (sqrt (* (PI) 2)) (pow 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z) 1) 4))) (/ 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)))) (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (sqrt (* (PI) 2)) (* (PI) 2) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2)) (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2))) (+ (* (exp -15/2) z) (exp -15/2)) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))) (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (+ (* (+ (* (+ (* 19664514596894233501133157847/32413500000000000000000000 z) 1261892996482553330703662111/2315250000000000000000000) z) 16055934341359023345617179/36750000000000000000000) z) 1382761731551712743134679/5250000000000000000000) (+ (* (+ (* 19664514596894233501133157847/32413500000000000000000000 z) 1261892996482553330703662111/2315250000000000000000000) z) 16055934341359023345617179/36750000000000000000000) (+ (* 19664514596894233501133157847/32413500000000000000000000 z) 1261892996482553330703662111/2315250000000000000000000) 19664514596894233501133157847/32413500000000000000000000 1261892996482553330703662111/2315250000000000000000000 16055934341359023345617179/36750000000000000000000 1382761731551712743134679/5250000000000000000000)

simplify281.0ms (1.3%)

Memory

-51.5MiB live, 289.3MiB allocated; 38ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1273	5321
1	4401	5306
0	8076	5028

Stop Event

1×	iter limit
1×	node limit

Counts

313 → 312

Calls

Call 1

Inputs
(* 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)
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z
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15/2
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-15/2
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(* -1 (/ (- (* -1 (/ (+ 883075145810703/1250000000000 (+ (* 883075145810703/312500000000 (/ 1 z)) (/ 883075145810703/78125000000 (pow z 2)))) z)) 883075145810703/5000000000000) z))
(* -1 (* z (- 1 (* 4 (/ 1 z)))))
(* -1 (/ (+ 7713234287776531/10000000000000 (+ (* 23139702863329593/10000000000000 (/ 1 z)) (/ 69419108589988779/10000000000000 (pow z 2)))) z))
(* -1 (/ (+ 7713234287776531/10000000000000 (* -1 (/ (- (* -1 (/ (+ 69419108589988779/10000000000000 (* 208257325769966337/10000000000000 (/ 1 z))) z)) 23139702863329593/10000000000000) z))) z))
(* -1 (* z (- 1 (* 3 (/ 1 z)))))
(* -1 (/ (+ 2501468655737381/200000000000000 (+ (* 2501468655737381/40000000000000 (/ 1 z)) (/ 2501468655737381/8000000000000 (pow z 2)))) z))
(* -1 (/ (+ 2501468655737381/200000000000000 (* -1 (/ (- (* -1 (/ (+ 2501468655737381/8000000000000 (* 2501468655737381/1600000000000 (/ 1 z))) z)) 2501468655737381/40000000000000) z))) z))
(* -1 (* z (- 1 (* 5 (/ 1 z)))))
(* -1 (/ (- (* -1 (/ (+ 10392832144929009/12500000000000000 (* 31178496434787027/6250000000000000 (/ 1 z))) z)) 3464277381643003/25000000000000000) z))
(* -1 (/ (- (* -1 (/ (+ 10392832144929009/12500000000000000 (+ (* 31178496434787027/6250000000000000 (/ 1 z)) (/ 93535489304361081/3125000000000000 (pow z 2)))) z)) 3464277381643003/25000000000000000) z))
(* -1 (* z (- 1 (* 6 (/ 1 z)))))
(* -1 (/ (+ 2496092394504893/250000000000000000000 (+ (/ 122308527330739757/250000000000000000000 (pow z 2)) (* 17472646761534251/250000000000000000000 (/ 1 z)))) z))
(* -1 (/ (+ 2496092394504893/250000000000000000000 (* -1 (/ (- (* -1 (/ (+ 122308527330739757/250000000000000000000 (* 856159691315178299/250000000000000000000 (/ 1 z))) z)) 17472646761534251/250000000000000000000) z))) z))
(* -1 (* z (- 1 (* 7 (/ 1 z)))))
(* -1 (/ (+ 3764081837873279/25000000000000000000000 (+ (/ 3764081837873279/390625000000000000000 (pow z 2)) (* 3764081837873279/3125000000000000000000 (/ 1 z)))) z))
(* -1 (/ (+ 3764081837873279/25000000000000000000000 (* -1 (/ (- (* -1 (/ (+ 3764081837873279/390625000000000000000 (* 3764081837873279/48828125000000000000 (/ 1 z))) z)) 3764081837873279/3125000000000000000000) z))) z))
(* -1 (* z (- 1 (* 8 (/ 1 z)))))
(* -1 (/ (- (* -1 (/ (+ 3147848041806007/1250000000000 (* 3147848041806007/625000000000 (/ 1 z))) z)) 3147848041806007/2500000000000) z))
(* -1 (/ (- (* -1 (/ (+ 3147848041806007/1250000000000 (+ (* 3147848041806007/625000000000 (/ 1 z)) (/ 3147848041806007/312500000000 (pow z 2)))) z)) 3147848041806007/2500000000000) z))
(* -1 (/ (+ 6765203681218851/10000000000000 (+ (* 6765203681218851/10000000000000 (/ 1 z)) (/ 6765203681218851/10000000000000 (pow z 2)))) z))
(* -1 (/ (+ 6765203681218851/10000000000000 (* -1 (/ (- (* -1 (/ (+ 6765203681218851/10000000000000 (* 6765203681218851/10000000000000 (/ 1 z))) z)) 6765203681218851/10000000000000) z))) z))
(* (sqrt (PI)) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)))
(* -1 (* z (+ (* -1 (exp -15/2)) (* -1 (/ (exp -15/2) z)))))
(* -1 (* (pow z 3) (- (* -1 (/ (+ 1261892996482553330703662111/2315250000000000000000000 (* 16055934341359023345617179/36750000000000000000000 (/ 1 z))) z)) 19664514596894233501133157847/32413500000000000000000000)))
(* -1 (* (pow z 3) (- (* -1 (/ (+ 1261892996482553330703662111/2315250000000000000000000 (+ (* 16055934341359023345617179/36750000000000000000000 (/ 1 z)) (/ 1382761731551712743134679/5250000000000000000000 (pow z 2)))) z)) 19664514596894233501133157847/32413500000000000000000000)))

Outputs
(* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) z) (sqrt (PI))))
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(sqrt 15/2)
(sqrt.f64 #s(literal 15/2 binary64))
(+ (sqrt 15/2) (* z (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))))
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15/2
#s(literal 15/2 binary64)
(+ 15/2 (* -1 z))
(fma.f64 #s(literal -1 binary64) z #s(literal 15/2 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1 z))
(fma.f64 #s(literal -1 binary64) z #s(literal 1/2 binary64))
(* (exp -15/2) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 #s(literal -15/2 binary64)))
(+ (* z (* (exp -15/2) (sqrt 2))) (* (exp -15/2) (sqrt 2)))
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(exp -15/2)
(exp.f64 #s(literal -15/2 binary64))
(+ (exp -15/2) (* z (exp -15/2)))
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-15/2
#s(literal -15/2 binary64)
(- z 15/2)
(-.f64 z #s(literal 15/2 binary64))
1106209385320415913103082059/4200000000000000000000000
#s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)
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1382761731551712743134679/5250000000000000000000
#s(literal 1382761731551712743134679/5250000000000000000000 binary64)
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9876869457595968283/37500000000000000
#s(literal 9876869457595968283/37500000000000000 binary64)
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#s(literal 7902188421553103227/30000000000000000 binary64)
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7827144361880981797/30000000000000000
#s(literal 7827144361880981797/30000000000000000 binary64)
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623771548950479/2400000000000
#s(literal 623771548950479/2400000000000 binary64)
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469507597606837/10000000000000
#s(literal 469507597606837/10000000000000 binary64)
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469507597606837/5000000000000
#s(literal 469507597606837/5000000000000 binary64)
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2
#s(literal 2 binary64)
(+ 2 (* -1 z))
(fma.f64 #s(literal -1 binary64) z #s(literal 2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 z))
(fma.f64 #s(literal -1 binary64) z #s(literal 1 binary64))
-3147848041806007/2500000000000
#s(literal -3147848041806007/2500000000000 binary64)
(- (* 3147848041806007/2500000000000 z) 3147848041806007/2500000000000)
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(+ 2 (* -3 z))
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(+ 2 (* z (- z 3)))
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12777243138120953/60000000000000
#s(literal 12777243138120953/60000000000000 binary64)
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-883075145810703/20000000000000
#s(literal -883075145810703/20000000000000 binary64)
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(- (* z (- (* z (- (* -883075145810703/1280000000000000 z) 883075145810703/320000000000000)) 883075145810703/80000000000000)) 883075145810703/20000000000000)
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4
#s(literal 4 binary64)
(+ 4 (* -1 z))
(fma.f64 #s(literal -1 binary64) z #s(literal 4 binary64))
7713234287776531/30000000000000
#s(literal 7713234287776531/30000000000000 binary64)
(+ 7713234287776531/30000000000000 (* 7713234287776531/90000000000000 z))
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3
#s(literal 3 binary64)
(+ 3 (* -1 z))
(fma.f64 #s(literal -1 binary64) z #s(literal 3 binary64))
2501468655737381/1000000000000000
#s(literal 2501468655737381/1000000000000000 binary64)
(+ 2501468655737381/1000000000000000 (* 2501468655737381/5000000000000000 z))
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5
#s(literal 5 binary64)
(+ 5 (* -1 z))
(fma.f64 #s(literal -1 binary64) z #s(literal 5 binary64))
(* -1 z)
(neg.f64 z)
-3464277381643003/150000000000000000
#s(literal -3464277381643003/150000000000000000 binary64)
(- (* -3464277381643003/900000000000000000 z) 3464277381643003/150000000000000000)
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(- (* z (- (* -3464277381643003/5400000000000000000 z) 3464277381643003/900000000000000000)) 3464277381643003/150000000000000000)
(-.f64 (.f64 (-.f64 (.f64 #s(literal -3464277381643003/5400000000000000000 binary64) z) #s(literal 3464277381643003/900000000000000000 binary64)) z) #s(literal 3464277381643003/150000000000000000 binary64))
(- (* z (- (* z (- (* -3464277381643003/32400000000000000000 z) 3464277381643003/5400000000000000000)) 3464277381643003/900000000000000000)) 3464277381643003/150000000000000000)
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6
#s(literal 6 binary64)
(+ 6 (* -1 z))
(fma.f64 #s(literal -1 binary64) z #s(literal 6 binary64))
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(+ 9999999999998099/10000000000000000 (* -1 (/ (- 30223877537487/2500000000000 (* 585619739096309/2500000000000 (/ 1 z))) z)))
(fma.f64 (/.f64 (-.f64 #s(literal 30223877537487/2500000000000 binary64) (/.f64 #s(literal 585619739096309/2500000000000 binary64) z)) z) #s(literal -1 binary64) #s(literal 9999999999998099/10000000000000000 binary64))
(+ 9999999999998099/10000000000000000 (* -1 (/ (+ 30223877537487/2500000000000 (* -1 (/ (+ 585619739096309/2500000000000 (* 1219830531815489/5000000000000 (/ 1 z))) z))) z)))
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(* -1 (/ (+ 30223877537487/2500000000000 (* -1 (/ (+ 585619739096309/2500000000000 (* -1 (/ (- (* 62888672481149/500000000000 (/ 1 z)) 1219830531815489/5000000000000) z))) z))) z))
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(* (pow z 2) (+ 1 (* -1 (/ (- 3 (* 2 (/ 1 z))) z))))
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(* -1 (* z (- 1 (* 4 (/ 1 z)))))
(*.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) z)))
(* -1 (/ (+ 7713234287776531/10000000000000 (+ (* 23139702863329593/10000000000000 (/ 1 z)) (/ 69419108589988779/10000000000000 (pow z 2)))) z))
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(* -1 (/ (+ 7713234287776531/10000000000000 (* -1 (/ (- (* -1 (/ (+ 69419108589988779/10000000000000 (* 208257325769966337/10000000000000 (/ 1 z))) z)) 23139702863329593/10000000000000) z))) z))
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(* -1 (* z (- 1 (* 3 (/ 1 z)))))
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(* -1 (/ (+ 2501468655737381/200000000000000 (+ (* 2501468655737381/40000000000000 (/ 1 z)) (/ 2501468655737381/8000000000000 (pow z 2)))) z))
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(* -1 (/ (+ 2501468655737381/200000000000000 (* -1 (/ (- (* -1 (/ (+ 2501468655737381/8000000000000 (* 2501468655737381/1600000000000 (/ 1 z))) z)) 2501468655737381/40000000000000) z))) z))
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 2501468655737381/1600000000000 binary64) z) #s(literal 2501468655737381/8000000000000 binary64)) z) #s(literal -1 binary64) #s(literal -2501468655737381/40000000000000 binary64)) z) #s(literal -1 binary64) #s(literal 2501468655737381/200000000000000 binary64)) (neg.f64 z))
(* -1 (* z (- 1 (* 5 (/ 1 z)))))
(*.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 5 binary64) z)))
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(* -1 (/ (- (* -1 (/ (+ 10392832144929009/12500000000000000 (+ (* 31178496434787027/6250000000000000 (/ 1 z)) (/ 93535489304361081/3125000000000000 (pow z 2)))) z)) 3464277381643003/25000000000000000) z))
(/.f64 (-.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 93535489304361081/3125000000000000 binary64) (*.f64 z z)) (/.f64 #s(literal 31178496434787027/6250000000000000 binary64) z)) #s(literal 10392832144929009/12500000000000000 binary64)) (neg.f64 z)) #s(literal 3464277381643003/25000000000000000 binary64)) (neg.f64 z))
(* -1 (* z (- 1 (* 6 (/ 1 z)))))
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(* -1 (/ (+ 2496092394504893/250000000000000000000 (+ (/ 122308527330739757/250000000000000000000 (pow z 2)) (* 17472646761534251/250000000000000000000 (/ 1 z)))) z))
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(* -1 (* z (- 1 (* 7 (/ 1 z)))))
(*.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 7 binary64) z)))
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(* -1 (* z (- 1 (* 8 (/ 1 z)))))
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(* -1 (/ (- (* -1 (/ (+ 3147848041806007/1250000000000 (+ (* 3147848041806007/625000000000 (/ 1 z)) (/ 3147848041806007/312500000000 (pow z 2)))) z)) 3147848041806007/2500000000000) z))
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(* -1 (/ (+ 6765203681218851/10000000000000 (* -1 (/ (- (* -1 (/ (+ 6765203681218851/10000000000000 (* 6765203681218851/10000000000000 (/ 1 z))) z)) 6765203681218851/10000000000000) z))) z))
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(* (sqrt (PI)) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)))
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(* -1 (* z (+ (* -1 (exp -15/2)) (* -1 (/ (exp -15/2) z)))))
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(* -1 (* (pow z 3) (- (* -1 (/ (+ 1261892996482553330703662111/2315250000000000000000000 (* 16055934341359023345617179/36750000000000000000000 (/ 1 z))) z)) 19664514596894233501133157847/32413500000000000000000000)))
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(.f64 (neg.f64 (-.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1382761731551712743134679/5250000000000000000000 binary64) (.f64 z z)) (/.f64 #s(literal 16055934341359023345617179/36750000000000000000000 binary64) z)) #s(literal 1261892996482553330703662111/2315250000000000000000000 binary64)) (neg.f64 z)) #s(literal 19664514596894233501133157847/32413500000000000000000000 binary64))) (pow.f64 z #s(literal 3 binary64)))

rewrite451.0ms (2.1%)

Memory

18.1MiB live, 483.2MiB allocated; 58ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	171	2634
0	275	2283
1	1163	2283
0	8076	2283

Stop Event

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

Counts

113 → 981

Calls

Call 1

Inputs
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(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
(PI.f64)
(sin.f64 (*.f64 (PI.f64) z))
(*.f64 (PI.f64) z)
z
(.f64 #s(approx ( (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (.f64 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (.f64 (exp.f64 (-.f64 z #s(literal 15/2 binary64))) (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 (fma.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.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) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)))))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64)))))
#s(approx (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (.f64 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (*.f64 (exp.f64 (-.f64 z #s(literal 15/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (*.f64 (exp.f64 (-.f64 z #s(literal 15/2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))
(sqrt.f64 (PI.f64))
(pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))
(-.f64 #s(literal 15/2 binary64) z)
#s(literal 15/2 binary64)
(-.f64 #s(literal 1/2 binary64) z)
#s(literal 1/2 binary64)
(*.f64 (exp.f64 (-.f64 z #s(literal 15/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(exp.f64 (-.f64 z #s(literal 15/2 binary64)))
(-.f64 z #s(literal 15/2 binary64))
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Outputs
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(+.f64 (*.f64 (fma.f64 #s(literal 19664514596894233501133157847/32413500000000000000000000 binary64) z #s(literal 1261892996482553330703662111/2315250000000000000000000 binary64)) z) #s(literal 16055934341359023345617179/36750000000000000000000 binary64))
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(/.f64 (-.f64 #s(literal 1592373934571717352655703655816147002210899626456976321/5360382562500000000000000000000000000000000000000 binary64) (pow.f64 (.f64 #s(literal 19664514596894233501133157847/32413500000000000000000000 binary64) z) #s(literal 2 binary64))) (-.f64 #s(literal 1261892996482553330703662111/2315250000000000000000000 binary64) (.f64 #s(literal 19664514596894233501133157847/32413500000000000000000000 binary64) z)))
(/.f64 (+.f64 #s(literal 2009405515817417732861171979370895221668630247813469119312361039791526338711873631/12410625727828125000000000000000000000000000000000000000000000000000000000 binary64) (pow.f64 (.f64 #s(literal 19664514596894233501133157847/32413500000000000000000000 binary64) z) #s(literal 3 binary64))) (+.f64 #s(literal 1592373934571717352655703655816147002210899626456976321/5360382562500000000000000000000000000000000000000 binary64) (-.f64 (pow.f64 (.f64 #s(literal 19664514596894233501133157847/32413500000000000000000000 binary64) z) #s(literal 2 binary64)) (.f64 #s(literal 1261892996482553330703662111/2315250000000000000000000 binary64) (.f64 #s(literal 19664514596894233501133157847/32413500000000000000000000 binary64) z)))))
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(/.f64 (neg.f64 (fma.f64 #s(literal 7604132784579903261157645482232929676217256531031414973531448097821627067079807284423/34054756997160375000000000000000000000000000000000000000000000000000000000000 binary64) (pow.f64 z #s(literal 3 binary64)) #s(literal 2009405515817417732861171979370895221668630247813469119312361039791526338711873631/12410625727828125000000000000000000000000000000000000000000000000000000000 binary64))) (neg.f64 (fma.f64 #s(literal 386693134331466378687329983598355735040434595706217675409/1050634982250000000000000000000000000000000000000000 binary64) (.f64 z z) (-.f64 #s(literal 1592373934571717352655703655816147002210899626456976321/5360382562500000000000000000000000000000000000000 binary64) (.f64 (*.f64 #s(literal 19664514596894233501133157847/32413500000000000000000000 binary64) z) #s(literal 1261892996482553330703662111/2315250000000000000000000 binary64))))))
(/.f64 (fma.f64 #s(literal 386693134331466378687329983598355735040434595706217675409/1050634982250000000000000000000000000000000000000000 binary64) (.f64 z z) #s(literal -1592373934571717352655703655816147002210899626456976321/5360382562500000000000000000000000000000000000000 binary64)) (-.f64 (.f64 #s(literal 19664514596894233501133157847/32413500000000000000000000 binary64) z) #s(literal 1261892996482553330703662111/2315250000000000000000000 binary64)))
(/.f64 (fma.f64 #s(literal 7604132784579903261157645482232929676217256531031414973531448097821627067079807284423/34054756997160375000000000000000000000000000000000000000000000000000000000000 binary64) (pow.f64 z #s(literal 3 binary64)) #s(literal 2009405515817417732861171979370895221668630247813469119312361039791526338711873631/12410625727828125000000000000000000000000000000000000000000000000000000000 binary64)) (fma.f64 #s(literal 386693134331466378687329983598355735040434595706217675409/1050634982250000000000000000000000000000000000000000 binary64) (.f64 z z) (-.f64 #s(literal 1592373934571717352655703655816147002210899626456976321/5360382562500000000000000000000000000000000000000 binary64) (.f64 (*.f64 #s(literal 19664514596894233501133157847/32413500000000000000000000 binary64) z) #s(literal 1261892996482553330703662111/2315250000000000000000000 binary64)))))
(fma.f64 #s(literal 19664514596894233501133157847/32413500000000000000000000 binary64) z #s(literal 1261892996482553330703662111/2315250000000000000000000 binary64))
(fma.f64 z #s(literal 19664514596894233501133157847/32413500000000000000000000 binary64) #s(literal 1261892996482553330703662111/2315250000000000000000000 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal 19664514596894233501133157847/32413500000000000000000000 binary64) z) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 19664514596894233501133157847/32413500000000000000000000 binary64) z) #s(literal 1261892996482553330703662111/2315250000000000000000000 binary64))) (/.f64 #s(literal 1592373934571717352655703655816147002210899626456976321/5360382562500000000000000000000000000000000000000 binary64) (-.f64 (*.f64 #s(literal 19664514596894233501133157847/32413500000000000000000000 binary64) z) #s(literal 1261892996482553330703662111/2315250000000000000000000 binary64))))
(-.f64 #s(literal 1261892996482553330703662111/2315250000000000000000000 binary64) (*.f64 #s(literal -19664514596894233501133157847/32413500000000000000000000 binary64) z))
(-.f64 #s(literal 1261892996482553330703662111/2315250000000000000000000 binary64) (*.f64 (neg.f64 z) #s(literal 19664514596894233501133157847/32413500000000000000000000 binary64)))
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(+.f64 (*.f64 #s(literal 19664514596894233501133157847/32413500000000000000000000 binary64) z) #s(literal 1261892996482553330703662111/2315250000000000000000000 binary64))
(+.f64 #s(literal 1261892996482553330703662111/2315250000000000000000000 binary64) (*.f64 #s(literal 19664514596894233501133157847/32413500000000000000000000 binary64) z))
#s(literal 19664514596894233501133157847/32413500000000000000000000 binary64)
#s(literal 1261892996482553330703662111/2315250000000000000000000 binary64)
#s(literal 16055934341359023345617179/36750000000000000000000 binary64)
#s(literal 1382761731551712743134679/5250000000000000000000 binary64)

eval705.0ms (3.3%)

Memory: 40.3MiB live, 895.1MiB allocated; 140ms collecting garbage
Compiler: Compiled 339 354 to 13 633 computations (96% saved)

prune392.0ms (1.8%)

Memory

-22.2MiB live, 862.2MiB allocated; 114ms collecting garbage

Pruning

68 alts after pruning (65 fresh and 3 done)

	Pruned	Kept	Total
New	2 146	23	2 169
Fresh	17	42	59
Picked	3	2	5
Done	0	1	1
Total	2 166	68	2 234

Accuracy

100.0%

Counts

2 234 → 68

Alt Table

Click to see full alt table

Status	Accuracy	Program
	95.9%	(fma.f64 (.f64 #s(approx (/ (PI) (sin ( (PI) z))) (pow.f64 z #s(literal -1 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 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (-.f64 z #s(literal 15/2 binary64)))) (.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (sqrt.f64 (PI.f64)))))) (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64))))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -4 binary64))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -5 binary64))))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64)))) (.f64 (.f64 #s(approx (/ (PI) (sin ( (PI) z))) (pow.f64 z #s(literal -1 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 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (-.f64 z #s(literal 15/2 binary64)))) (*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (sqrt.f64 (PI.f64)))))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -7 binary64)))))
	95.9%	(/.f64 (.f64 (PI.f64) (.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64))) (+.f64 (+.f64 (/.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 #s(literal 1 binary64) z) #s(literal -2 binary64))))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -4 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -5 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -7 binary64)))) (.f64 (exp.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))))) (.f64 (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))) (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))))))) (sin.f64 (.f64 z (PI.f64))))
	97.3%	(/.f64 (.f64 (PI.f64) (.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64)))) (+.f64 (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -5 binary64))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -4 binary64)))) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -7 binary64))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64)))))) #s(approx (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (-.f64 z #s(literal 15/2 binary64)))) (.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (sqrt.f64 (PI.f64))))))) (sin.f64 (.f64 z (PI.f64))))
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	4.1%	(/.f64 (.f64 #s(approx ( (PI) (+ (/ 3764081837873279/25000000000000000000000 (- (- 1 z) -7)) (+ (/ 2496092394504893/250000000000000000000 (- (- 1 z) -6)) (+ (/ -3464277381643003/25000000000000000 (- (- 1 z) -5)) (+ (/ 2501468655737381/200000000000000 (- (- 1 z) -4)) (+ (/ -883075145810703/5000000000000 (- (- 1 z) -3)) (+ (/ 7713234287776531/10000000000000 (- (- 1 z) -2)) (+ (+ (/ -3147848041806007/2500000000000 (- (- 1 z) -1)) 9999999999998099/10000000000000000) (/ 6765203681218851/10000000000000 (- 1 z)))))))))) (fma.f64 (/.f64 (PI.f64) z) #s(literal -611458333333720910362579/25000000000000000000000 binary64) (.f64 #s(literal 9999999999998099/10000000000000000 binary64) (PI.f64)))) (.f64 (exp.f64 (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 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))) (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64)))))) (sin.f64 (*.f64 z (PI.f64))))
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	96.8%	(.f64 #s(approx (/ (PI) (sin ( (PI) z))) (/.f64 #s(literal 1 binary64) z)) (.f64 #s(approx ( (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (.f64 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) #s(approx (* (exp (- z 15/2)) (sqrt 2)) (.f64 (+.f64 z #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 #s(literal -15/2 binary64))))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.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))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)))))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
	95.5%	(.f64 #s(approx (/ (PI) (sin ( (PI) z))) (/.f64 #s(literal 1 binary64) z)) (.f64 #s(approx ( (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (.f64 (sqrt.f64 (PI.f64)) (.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 #s(literal -15/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.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))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)))))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
	94.6%	#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (/.f64 (.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 15 binary64))) (exp.f64 #s(literal -15/2 binary64))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) z))
	95.7%	#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 (.f64 (/.f64 (PI.f64) (sqrt.f64 (PI.f64))) (.f64 (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 #s(literal -15/2 binary64)))) z) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))
	66.4%	#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (/.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 15 binary64))) (+.f64 (cosh.f64 #s(literal -15/2 binary64)) (sinh.f64 #s(literal -15/2 binary64)))) z) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))
✓	95.0%	#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 (.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 15 binary64))) (exp.f64 #s(literal -15/2 binary64))) z) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))
	95.5%	#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (.f64 (/.f64 (pow.f64 (.f64 #s(literal 15 binary64) (PI.f64)) #s(literal 1 binary64)) (sqrt.f64 (.f64 #s(literal 15 binary64) (PI.f64)))) (/.f64 (exp.f64 #s(literal -15/2 binary64)) z)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))
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	66.8%	#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 (.f64 (sqrt.f64 (*.f64 #s(literal 15 binary64) (PI.f64))) (+.f64 (/.f64 (cosh.f64 #s(literal -15/2 binary64)) z) (/.f64 (sinh.f64 #s(literal -15/2 binary64)) z))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))
	95.1%	#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 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (exp.f64 #s(literal -15/2 binary64)) (sqrt.f64 #s(literal 15 binary64))) z)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))
	94.9%	#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (sqrt.f64 (.f64 #s(literal 15 binary64) (PI.f64))) (*.f64 (/.f64 (exp.f64 #s(literal -15/2 binary64)) z) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))))
	95.4%	#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 #s(approx (/ ( (sqrt (* (PI) 15)) (exp -15/2)) z) (.f64 (.f64 (exp.f64 #s(literal -15/2 binary64)) (/.f64 (sqrt.f64 #s(literal 15 binary64)) z)) (sqrt.f64 (PI.f64)))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))

Compiler

Compiled 28 074 to 6 442 computations (77.1% saved)

regimes161.0ms (0.7%)

Memory

-22.6MiB live, 164.6MiB allocated; 12ms collecting garbage

Counts

145 → 1

Calls

Call 1

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

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

100.0ms

(*.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))))))

34.0ms

Results

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

Compiler

Compiled 124 to 61 computations (50.8% saved)

regimes97.0ms (0.5%)

Memory

19.9MiB live, 163.2MiB allocated; 10ms collecting garbage

Counts

122 → 1

Calls

Call 1

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

Calls

2 calls:

46.0ms

35.0ms

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

Compiler

Compiled 124 to 61 computations (50.8% saved)

regimes97.0ms (0.5%)

Memory

-8.1MiB live, 138.3MiB allocated; 10ms collecting garbage

Counts

111 → 1

Calls

Call 1

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

Outputs

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

47.0ms

34.0ms

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

Compiler

Compiled 124 to 61 computations (50.8% saved)

regimes127.0ms (0.6%)

Memory

19.6MiB live, 148.3MiB allocated; 24ms collecting garbage

Counts

106 → 1

Calls

Call 1

Inputs
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (sqrt.f64 (.f64 #s(literal 15 binary64) (PI.f64))) (*.f64 (/.f64 (exp.f64 #s(literal -15/2 binary64)) z) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))))
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(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64))))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -4 binary64))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -5 binary64))))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -7 binary64))))) (.f64 (exp.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))))) (.f64 (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))) (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64)))))))
(/.f64 (.f64 (PI.f64) (.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64))))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -4 binary64))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -5 binary64))))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -7 binary64))))) (.f64 (exp.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))))) (.f64 (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))) (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))))))) (sin.f64 (.f64 z (PI.f64))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 #s(approx ( (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (.f64 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (.f64 (exp.f64 (-.f64 z #s(literal 15/2 binary64))) (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 (fma.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.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) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)))))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 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(approx (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)) (fma.f64 #s(literal 3764081837873279/1600000000000000000000000 binary64) z #s(literal 3764081837873279/200000000000000000000000 binary64))))))
(.f64 (/.f64 (neg.f64 (PI.f64)) (sin.f64 (fma.f64 z (PI.f64) (PI.f64)))) (.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64))))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -4 binary64))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -5 binary64))))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -7 binary64))))) (.f64 (exp.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))))) (.f64 (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))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))))))

Outputs

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

Calls

2 calls:

75.0ms

(*.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
98.0%	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))))))
98.0%	1	`z`

Compiler

Compiled 124 to 61 computations (50.8% saved)

regimes103.0ms (0.5%)

Memory

-3.7MiB live, 220.9MiB allocated; 60ms collecting garbage

Counts

102 → 1

Calls

Call 1

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

Outputs

(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64))))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -4 binary64))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -5 binary64))))) #s(approx (+ (/ 2496092394504893/250000000000000000000 (- (- 1 z) -6)) (/ 3764081837873279/25000000000000000000000 (- (- 1 z) -7))) (fma.f64 (fma.f64 #s(literal 129091010669041056297/4390400000000000000000000000 binary64) z #s(literal 16159431334887105871/78400000000000000000000000 binary64)) z #s(literal 2023222488469027353/1400000000000000000000000 binary64)))) (*.f64 (exp.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))))) (*.f64 (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))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))))))

Calls

2 calls:

45.0ms

(*.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))))))

36.0ms

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)

regimes54.0ms (0.3%)

Memory

27.4MiB live, 120.3MiB allocated; 5ms collecting garbage

Counts

84 → 1

Calls

Call 1

Inputs
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (sqrt.f64 (.f64 #s(literal 15 binary64) (PI.f64))) (*.f64 (/.f64 (exp.f64 #s(literal -15/2 binary64)) z) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))))
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(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64))))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -4 binary64))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -5 binary64))))) #s(approx (+ (/ 2496092394504893/250000000000000000000 (- (- 1 z) -6)) (/ 3764081837873279/25000000000000000000000 (- (- 1 z) -7))) #s(literal 2023222488469027353/1400000000000000000000000 binary64))) (.f64 (exp.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))))) (.f64 (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))) (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64))))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -4 binary64))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -5 binary64))))) #s(approx (+ (/ 2496092394504893/250000000000000000000 (- (- 1 z) -6)) (/ 3764081837873279/25000000000000000000000 (- (- 1 z) -7))) (fma.f64 #s(literal 16159431334887105871/78400000000000000000000000 binary64) z #s(literal 2023222488469027353/1400000000000000000000000 binary64)))) (.f64 (exp.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))))) (.f64 (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))) (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64))))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -4 binary64))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -5 binary64))))) #s(approx (+ (/ 2496092394504893/250000000000000000000 (- (- 1 z) -6)) (/ 3764081837873279/25000000000000000000000 (- (- 1 z) -7))) (/.f64 #s(literal -253373321288362579/25000000000000000000000 binary64) z))) (.f64 (exp.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))))) (.f64 (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))) (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64)))))))

Outputs

(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64))))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -4 binary64))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -5 binary64))))) #s(approx (+ (/ 2496092394504893/250000000000000000000 (- (- 1 z) -6)) (/ 3764081837873279/25000000000000000000000 (- (- 1 z) -7))) (fma.f64 #s(literal 16159431334887105871/78400000000000000000000000 binary64) z #s(literal 2023222488469027353/1400000000000000000000000 binary64)))) (*.f64 (exp.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))))) (*.f64 (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))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))))))

Calls

2 calls:

22.0ms

(*.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))))))

21.0ms

Results

Accuracy	Segments	Branch
97.5%	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))))))
97.5%	1	`z`

Compiler

Compiled 124 to 61 computations (50.8% saved)

regimes59.0ms (0.3%)

Memory

13.5MiB live, 107.8MiB allocated; 13ms collecting garbage

Counts

82 → 1

Calls

Call 1

Inputs
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (sqrt.f64 (.f64 #s(literal 15 binary64) (PI.f64))) (*.f64 (/.f64 (exp.f64 #s(literal -15/2 binary64)) z) #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 (sqrt.f64 (*.f64 #s(literal 15 binary64) (PI.f64))) (/.f64 (exp.f64 #s(literal -15/2 binary64)) z)) #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 (.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 15 binary64))) (exp.f64 #s(literal -15/2 binary64))) z) #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 (.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 15 binary64))) (exp.f64 #s(literal -15/2 binary64))) #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 #s(approx (/ ( (sqrt (* (PI) 15)) (exp -15/2)) z) (.f64 (.f64 (exp.f64 #s(literal -15/2 binary64)) (/.f64 (sqrt.f64 #s(literal 15 binary64)) z)) (sqrt.f64 (PI.f64)))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))
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(.f64 #s(approx (/ (PI) (sin ( (PI) z))) (/.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) (.f64 z z)) (.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64)) z)) (.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64))))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -4 binary64))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -5 binary64))))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -7 binary64))))) (.f64 (exp.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))))) (.f64 (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))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))))))
(.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 #s(approx (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (fma.f64 (fma.f64 (fma.f64 #s(literal 65521081538557082921549/108000000000000000000 binary64) z #s(literal 367898832774098786021/675000000000000000 binary64)) z #s(literal 131068851705067315609/300000000000000000 binary64)) z #s(literal 9876869457595968283/37500000000000000 binary64))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 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 #s(approx (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (fma.f64 (/.f64 (-.f64 #s(literal 305729039980199811/12500000000000000 binary64) (/.f64 #s(literal 4313565145417084893/25000000000000000 binary64) z)) z) #s(literal -1 binary64) #s(literal 9999999999998099/10000000000000000 binary64))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 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 #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 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 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 #s(literal 1/6 binary64) (.f64 z z)) (.f64 (PI.f64) (PI.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 #s(literal 9999999999998099/10000000000000000 binary64) (+.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))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)))))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 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 #s(literal 1/6 binary64) (.f64 z z)) (.f64 (PI.f64) (PI.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 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 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 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64))))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -4 binary64))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -5 binary64))))) #s(approx (+ (/ 2496092394504893/250000000000000000000 (- (- 1 z) -6)) (/ 3764081837873279/25000000000000000000000 (- (- 1 z) -7))) #s(literal 2023222488469027353/1400000000000000000000000 binary64))) (.f64 (exp.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))))) (.f64 (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))) (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64)))))))

Outputs

(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64))))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -4 binary64))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -5 binary64))))) #s(approx (+ (/ 2496092394504893/250000000000000000000 (- (- 1 z) -6)) (/ 3764081837873279/25000000000000000000000 (- (- 1 z) -7))) #s(literal 2023222488469027353/1400000000000000000000000 binary64))) (*.f64 (exp.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))))) (*.f64 (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))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))))))

Calls

2 calls:

26.0ms

22.0ms

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

Results

Accuracy	Segments	Branch
97.3%	1	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
97.3%	1	`z`

Compiler

Compiled 124 to 61 computations (50.8% saved)

regimes53.0ms (0.2%)

Memory

-34.2MiB live, 109.2MiB allocated; 8ms collecting garbage

Counts

81 → 1

Calls

Call 1

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

Calls

2 calls:

20.0ms

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
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)

regimes59.0ms (0.3%)

Memory

46.1MiB live, 127.9MiB allocated; 16ms collecting garbage

Counts

75 → 1

Calls

Call 1

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

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Calls

2 calls:

28.0ms

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

21.0ms

Results

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

Compiler

Compiled 124 to 61 computations (50.8% saved)

regimes88.0ms (0.4%)

Memory

-36.0MiB live, 65.1MiB allocated; 66ms collecting garbage

Counts

66 → 1

Calls

Call 1

Inputs
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (sqrt.f64 (.f64 #s(literal 15 binary64) (PI.f64))) (*.f64 (/.f64 (exp.f64 #s(literal -15/2 binary64)) z) #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 (sqrt.f64 (*.f64 #s(literal 15 binary64) (PI.f64))) (/.f64 (exp.f64 #s(literal -15/2 binary64)) z)) #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 (.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 15 binary64))) (exp.f64 #s(literal -15/2 binary64))) z) #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 (.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 15 binary64))) (exp.f64 #s(literal -15/2 binary64))) #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 #s(approx (/ ( (sqrt (* (PI) 15)) (exp -15/2)) z) (.f64 (.f64 (exp.f64 #s(literal -15/2 binary64)) (/.f64 (sqrt.f64 #s(literal 15 binary64)) z)) (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 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (exp.f64 #s(literal -15/2 binary64)) (sqrt.f64 #s(literal 15 binary64))) z)) #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 (.f64 (sqrt.f64 (PI.f64)) (.f64 (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 #s(literal -15/2 binary64)))) z) #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 (.f64 (/.f64 (PI.f64) (sqrt.f64 (PI.f64))) (.f64 (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 #s(literal -15/2 binary64)))) z) #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 (.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 15 binary64))) (+.f64 (cosh.f64 #s(literal -15/2 binary64)) (sinh.f64 #s(literal -15/2 binary64)))) z) #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 (sqrt.f64 (*.f64 #s(literal 15 binary64) (PI.f64))) (+.f64 (/.f64 (cosh.f64 #s(literal -15/2 binary64)) z) (/.f64 (sinh.f64 #s(literal -15/2 binary64)) z))) #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 (/.f64 (pow.f64 (.f64 #s(literal 15 binary64) (PI.f64)) #s(literal 1 binary64)) (sqrt.f64 (.f64 #s(literal 15 binary64) (PI.f64)))) (/.f64 (exp.f64 #s(literal -15/2 binary64)) z)) #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 (.f64 (sqrt.f64 (PI.f64)) (.f64 (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (cosh.f64 #s(literal -15/2 binary64)) (sinh.f64 #s(literal -15/2 binary64))))) z) #s(literal 1106209385320415913103082059/4200000000000000000000000 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 #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))))) #s(approx (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))) (fma.f64 (fma.f64 (fma.f64 #s(literal 4027292589444183035165374538123333/6638284800000000000000000000000 binary64) z #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64)) z #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64)) z #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))))
(.f64 #s(approx (/ (PI) (sin ( (PI) z))) (/.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) (.f64 z z)) (.f64 (PI.f64) (PI.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))))) #s(approx (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))) (fma.f64 (fma.f64 (fma.f64 #s(literal 4027292589444183035165374538123333/6638284800000000000000000000000 binary64) z #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64)) z #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64)) z #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))))
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(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 #s(approx ( (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (.f64 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (*.f64 (exp.f64 (-.f64 z #s(literal 15/2 binary64))) (sqrt.f64 #s(literal 2 binary64))))) (+.f64 #s(approx (+ (+ (+ (+ 9999999999998099/10000000000000000 (+ (+ (/ -3147848041806007/2500000000000 (- (- 1 z) -1)) (/ 6765203681218851/10000000000000 (- 1 z))) (+ (/ -883075145810703/5000000000000 (- (- 1 z) -3)) (/ 7713234287776531/10000000000000 (- (- 1 z) -2))))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (fma.f64 (/.f64 (-.f64 #s(literal 6114583295696390724893/250000000000000000000 binary64) (/.f64 #s(literal 43135633981524087395749/250000000000000000000 binary64) z)) z) #s(literal -1 binary64) #s(literal 9999999999998099/10000000000000000 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 (sqrt.f64 (PI.f64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (.f64 (exp.f64 (-.f64 z #s(literal 15/2 binary64))) (sqrt.f64 #s(literal 2 binary64))))) (+.f64 #s(approx (+ (+ (+ (+ 9999999999998099/10000000000000000 (+ (/ (+ ( 6765203681218851/10000000000000 (- (- 1 z) -1)) (* (- 1 z) -3147848041806007/2500000000000)) (* (- 1 z) (- (- 1 z) -1))) (+ (/ -883075145810703/5000000000000 (- (- 1 z) -3)) (/ 7713234287776531/10000000000000 (- (- 1 z) -2))))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (fma.f64 (/.f64 (-.f64 #s(literal 6114583295696390724893/250000000000000000000 binary64) (/.f64 #s(literal 43135633981524087395749/250000000000000000000 binary64) z)) z) #s(literal -1 binary64) #s(literal 9999999999998099/10000000000000000 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 #s(literal 1 binary64) (+.f64 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 #s(approx (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (fma.f64 (fma.f64 (fma.f64 #s(literal 19664514596894233501133157847/32413500000000000000000000 binary64) z #s(literal 1261892996482553330703662111/2315250000000000000000000 binary64)) z #s(literal 16055934341359023345617179/36750000000000000000000 binary64)) z #s(literal 1382761731551712743134679/5250000000000000000000 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 #s(approx (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (fma.f64 (fma.f64 (fma.f64 #s(literal 19664514596894233501133157847/32413500000000000000000000 binary64) z #s(literal 1261892996482553330703662111/2315250000000000000000000 binary64)) z #s(literal 16055934341359023345617179/36750000000000000000000 binary64)) z #s(literal 1382761731551712743134679/5250000000000000000000 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 #s(literal 1 binary64) z)) (.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64))))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -4 binary64))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -5 binary64))))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -7 binary64))))) (.f64 (exp.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))))) (.f64 (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))) (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64)))))))
(.f64 #s(approx (/ (PI) (sin ( (PI) z))) (/.f64 #s(literal 1 binary64) z)) (.f64 #s(approx ( (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (.f64 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (*.f64 (exp.f64 (-.f64 z #s(literal 15/2 binary64))) (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.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))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)))))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
(.f64 (/.f64 (PI.f64) #s(approx (sin ( (PI) z)) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 z z)) (pow.f64 (PI.f64) #s(literal 3 binary64)) (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 #s(approx (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (fma.f64 (fma.f64 (fma.f64 #s(literal 19664514596894233501133157847/32413500000000000000000000 binary64) z #s(literal 1261892996482553330703662111/2315250000000000000000000 binary64)) z #s(literal 16055934341359023345617179/36750000000000000000000 binary64)) z #s(literal 1382761731551712743134679/5250000000000000000000 binary64))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
(.f64 (/.f64 (PI.f64) #s(approx (sin ( (PI) z)) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 z z)) (pow.f64 (PI.f64) #s(literal 3 binary64)) (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 #s(approx (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (fma.f64 (fma.f64 (fma.f64 #s(literal 19664514596894233501133157847/32413500000000000000000000 binary64) z #s(literal 1261892996482553330703662111/2315250000000000000000000 binary64)) z #s(literal 16055934341359023345617179/36750000000000000000000 binary64)) z #s(literal 1382761731551712743134679/5250000000000000000000 binary64))) #s(approx (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)) (/.f64 #s(literal -3764081837873279/25000000000000000000000 binary64) z)))))

Outputs

(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 #s(approx (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (exp.f64 (fma.f64 #s(literal 1 binary64) z #s(literal -15/2 binary64)))) (*.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) z #s(literal 15/2 binary64)) (fma.f64 #s(literal -1 binary64) z #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))))) (+.f64 #s(approx (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (fma.f64 (fma.f64 (fma.f64 #s(literal 19664514596894233501133157847/32413500000000000000000000 binary64) z #s(literal 1261892996482553330703662111/2315250000000000000000000 binary64)) z #s(literal 16055934341359023345617179/36750000000000000000000 binary64)) z #s(literal 1382761731551712743134679/5250000000000000000000 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:

23.0ms

16.0ms

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

Results

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

Compiler

Compiled 124 to 61 computations (50.8% saved)

regimes38.0ms (0.2%)

Memory

6.1MiB live, 54.8MiB allocated; 8ms collecting garbage

Counts

55 → 1

Calls

Call 1

Inputs
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(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 #s(approx (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (.f64 (.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) z #s(literal 15/2 binary64)) (fma.f64 #s(literal -1 binary64) z #s(literal 1/2 binary64))) (sqrt.f64 (PI.f64))) (sqrt.f64 #s(literal 2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) #s(approx (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))) (fma.f64 (fma.f64 (fma.f64 #s(literal 4027292589444183035165374538123333/6638284800000000000000000000000 binary64) z #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64)) z #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64)) z #s(literal 1106209385320415913103082059/4200000000000000000000000 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 #s(approx (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (fma.f64 (fma.f64 (fma.f64 #s(literal 19664514596894233501133157847/32413500000000000000000000 binary64) z #s(literal 1261892996482553330703662111/2315250000000000000000000 binary64)) z #s(literal 16055934341359023345617179/36750000000000000000000 binary64)) z #s(literal 1382761731551712743134679/5250000000000000000000 binary64))) #s(approx (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)) #s(literal 3764081837873279/200000000000000000000000 binary64)))))
(/.f64 (.f64 #s(approx ( (PI) (+ (/ 3764081837873279/25000000000000000000000 (- (- 1 z) -7)) (+ (/ 2496092394504893/250000000000000000000 (- (- 1 z) -6)) (+ (/ -3464277381643003/25000000000000000 (- (- 1 z) -5)) (+ (/ 2501468655737381/200000000000000 (- (- 1 z) -4)) (+ (/ -883075145810703/5000000000000 (- (- 1 z) -3)) (+ (/ 7713234287776531/10000000000000 (- (- 1 z) -2)) (+ (+ (/ -3147848041806007/2500000000000 (- (- 1 z) -1)) 9999999999998099/10000000000000000) (/ 6765203681218851/10000000000000 (- 1 z)))))))))) (fma.f64 #s(literal 9999999999998099/10000000000000000 binary64) (PI.f64) (/.f64 (fma.f64 #s(literal -1078390842009938509147167/6250000000000000000000 binary64) (/.f64 (PI.f64) z) (.f64 #s(literal 611458333333720910362579/25000000000000000000000 binary64) (PI.f64))) (neg.f64 z)))) (.f64 (exp.f64 (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 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))) (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64)))))) (sin.f64 (*.f64 z (PI.f64))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 #s(approx ( (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (.f64 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (*.f64 (exp.f64 (-.f64 z #s(literal 15/2 binary64))) (sqrt.f64 #s(literal 2 binary64))))) (+.f64 #s(approx (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (fma.f64 (fma.f64 (fma.f64 #s(literal 19664514596894233501133157847/32413500000000000000000000 binary64) z #s(literal 1261892996482553330703662111/2315250000000000000000000 binary64)) z #s(literal 16055934341359023345617179/36750000000000000000000 binary64)) z #s(literal 1382761731551712743134679/5250000000000000000000 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))) #s(approx (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.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))))) (+.f64 #s(approx (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (fma.f64 (fma.f64 (fma.f64 #s(literal 19664514596894233501133157847/32413500000000000000000000 binary64) z #s(literal 1261892996482553330703662111/2315250000000000000000000 binary64)) z #s(literal 16055934341359023345617179/36750000000000000000000 binary64)) z #s(literal 1382761731551712743134679/5250000000000000000000 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 (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))) (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64)))) (.f64 (exp.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))))) (+.f64 #s(approx (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (fma.f64 (fma.f64 (fma.f64 #s(literal 19664514596894233501133157847/32413500000000000000000000 binary64) z #s(literal 1261892996482553330703662111/2315250000000000000000000 binary64)) z #s(literal 16055934341359023345617179/36750000000000000000000 binary64)) z #s(literal 1382761731551712743134679/5250000000000000000000 binary64))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -7 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))))) #s(approx (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))) (fma.f64 (/.f64 (-.f64 #s(literal 611458333333720910362579/25000000000000000000000 binary64) (/.f64 #s(literal 1078390842009938509147167/6250000000000000000000 binary64) z)) z) #s(literal -1 binary64) #s(literal 9999999999998099/10000000000000000 binary64)))))
(/.f64 (neg.f64 (.f64 (PI.f64) (.f64 (+.f64 #s(approx (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (fma.f64 (fma.f64 (fma.f64 #s(literal 19664514596894233501133157847/32413500000000000000000000 binary64) z #s(literal 1261892996482553330703662111/2315250000000000000000000 binary64)) z #s(literal 16055934341359023345617179/36750000000000000000000 binary64)) z #s(literal 1382761731551712743134679/5250000000000000000000 binary64))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -7 binary64)))) (.f64 (exp.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))))) (.f64 (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))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))))))) (sin.f64 (fma.f64 z (PI.f64) (PI.f64))))

Outputs

(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 #s(approx (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (*.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) z #s(literal 15/2 binary64)) (fma.f64 #s(literal -1 binary64) z #s(literal 1/2 binary64))) (sqrt.f64 (PI.f64))) (sqrt.f64 #s(literal 2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) #s(approx (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))) (fma.f64 (fma.f64 (fma.f64 #s(literal 4027292589444183035165374538123333/6638284800000000000000000000000 binary64) z #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64)) z #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64)) z #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))))

Calls

2 calls:

18.0ms

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

13.0ms

Results

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

Compiler

Compiled 124 to 61 computations (50.8% saved)

regimes31.0ms (0.1%)

Memory

1.4MiB live, 46.6MiB allocated; 4ms collecting garbage

Counts

47 → 1

Calls

Call 1

Inputs
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Outputs

(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64)) #s(literal 1/2 binary64)))) (*.f64 (pow.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64)) #s(literal 1/2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))))) #s(approx (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))) (fma.f64 (fma.f64 (fma.f64 #s(literal 4027292589444183035165374538123333/6638284800000000000000000000000 binary64) z #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64)) z #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64)) z #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))))

Calls

2 calls:

14.0ms

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

11.0ms

Results

Accuracy	Segments	Branch
96.2%	1	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
96.2%	1	`z`

Compiler

Compiled 124 to 61 computations (50.8% saved)

regimes22.0ms (0.1%)

Memory

37.2MiB live, 37.2MiB allocated; 0ms collecting garbage

Counts

35 → 1

Calls

Call 1

Inputs
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (sqrt.f64 (.f64 #s(literal 15 binary64) (PI.f64))) (*.f64 (/.f64 (exp.f64 #s(literal -15/2 binary64)) z) #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 (sqrt.f64 (*.f64 #s(literal 15 binary64) (PI.f64))) (/.f64 (exp.f64 #s(literal -15/2 binary64)) z)) #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 (.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 15 binary64))) (exp.f64 #s(literal -15/2 binary64))) z) #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 (.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 15 binary64))) (exp.f64 #s(literal -15/2 binary64))) #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 #s(approx (/ ( (sqrt (* (PI) 15)) (exp -15/2)) z) (.f64 (.f64 (exp.f64 #s(literal -15/2 binary64)) (/.f64 (sqrt.f64 #s(literal 15 binary64)) z)) (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 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (exp.f64 #s(literal -15/2 binary64)) (sqrt.f64 #s(literal 15 binary64))) z)) #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 (.f64 (sqrt.f64 (PI.f64)) (.f64 (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 #s(literal -15/2 binary64)))) z) #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 (.f64 (/.f64 (PI.f64) (sqrt.f64 (PI.f64))) (.f64 (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 #s(literal -15/2 binary64)))) z) #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 (.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 15 binary64))) (+.f64 (cosh.f64 #s(literal -15/2 binary64)) (sinh.f64 #s(literal -15/2 binary64)))) z) #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 (sqrt.f64 (*.f64 #s(literal 15 binary64) (PI.f64))) (+.f64 (/.f64 (cosh.f64 #s(literal -15/2 binary64)) z) (/.f64 (sinh.f64 #s(literal -15/2 binary64)) z))) #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 (/.f64 (pow.f64 (.f64 #s(literal 15 binary64) (PI.f64)) #s(literal 1 binary64)) (sqrt.f64 (.f64 #s(literal 15 binary64) (PI.f64)))) (/.f64 (exp.f64 #s(literal -15/2 binary64)) z)) #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 (.f64 (sqrt.f64 (PI.f64)) (.f64 (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (cosh.f64 #s(literal -15/2 binary64)) (sinh.f64 #s(literal -15/2 binary64))))) z) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))
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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))))) #s(approx (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))) #s(literal 9999999999998099/10000000000000000 binary64))))
(/.f64 (neg.f64 (.f64 (PI.f64) (.f64 #s(approx (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (+ (+ (/ -3147848041806007/2500000000000 (- (- 1 z) -1)) (/ 6765203681218851/10000000000000 (- 1 z))) (+ (/ -883075145810703/5000000000000 (- (- 1 z) -3)) (/ 7713234287776531/10000000000000 (- (- 1 z) -2))))) (/ 2501468655737381/200000000000000 (+ (- (- 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 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 611458333333720910362579/25000000000000000000000 binary64) z))) #s(approx (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (-.f64 z #s(literal 15/2 binary64)))) (*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (sqrt.f64 (PI.f64)))))))) (sin.f64 (fma.f64 z (PI.f64) (PI.f64))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 #s(approx ( (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (.f64 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (*.f64 (exp.f64 (-.f64 z #s(literal 15/2 binary64))) (sqrt.f64 #s(literal 2 binary64))))) #s(approx (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (+ (+ (/ -3147848041806007/2500000000000 (- (- 1 z) -1)) (/ 6765203681218851/10000000000000 (- 1 z))) (+ (/ -883075145810703/5000000000000 (- (- 1 z) -3)) (/ 7713234287776531/10000000000000 (- (- 1 z) -2))))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))) (fma.f64 (fma.f64 (fma.f64 #s(literal 4027292589444183035165374538123333/6638284800000000000000000000000 binary64) z #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64)) z #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64)) z #s(literal 1106209385320415913103082059/4200000000000000000000000 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 (sqrt.f64 (PI.f64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (.f64 (exp.f64 (-.f64 z #s(literal 15/2 binary64))) (sqrt.f64 #s(literal 2 binary64))))) #s(approx (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (+ (/ (+ ( 6765203681218851/10000000000000 (- (- 1 z) -1)) (* (- 1 z) -3147848041806007/2500000000000)) (* (- 1 z) (- (- 1 z) -1))) (+ (/ -883075145810703/5000000000000 (- (- 1 z) -3)) (/ 7713234287776531/10000000000000 (- (- 1 z) -2))))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))) (fma.f64 (fma.f64 (fma.f64 #s(literal 4027292589444183035165374538123333/6638284800000000000000000000000 binary64) z #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64)) z #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64)) z #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))))
(/.f64 (.f64 #s(approx ( (PI) (+ (/ 3764081837873279/25000000000000000000000 (- (- 1 z) -7)) (+ (/ 2496092394504893/250000000000000000000 (- (- 1 z) -6)) (+ (/ -3464277381643003/25000000000000000 (- (- 1 z) -5)) (+ (/ 2501468655737381/200000000000000 (- (- 1 z) -4)) (+ (/ -883075145810703/5000000000000 (- (- 1 z) -3)) (+ (/ 7713234287776531/10000000000000 (- (- 1 z) -2)) (+ (+ (/ -3147848041806007/2500000000000 (- (- 1 z) -1)) 9999999999998099/10000000000000000) (/ 6765203681218851/10000000000000 (- 1 z)))))))))) (fma.f64 (/.f64 (PI.f64) z) #s(literal -611458333333720910362579/25000000000000000000000 binary64) (.f64 #s(literal 9999999999998099/10000000000000000 binary64) (PI.f64)))) (.f64 (exp.f64 (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 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))) (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64)))))) (sin.f64 (*.f64 z (PI.f64))))
(.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))))) #s(approx (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))) (fma.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) z #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))))

Outputs

(*.f64 (/.f64 (PI.f64) #s(approx (sin (* (PI) z)) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 z z)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.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 #s(approx (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (fma.f64 (fma.f64 (fma.f64 #s(literal 19664514596894233501133157847/32413500000000000000000000 binary64) z #s(literal 1261892996482553330703662111/2315250000000000000000000 binary64)) z #s(literal 16055934341359023345617179/36750000000000000000000 binary64)) z #s(literal 1382761731551712743134679/5250000000000000000000 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:

9.0ms

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

9.0ms

Results

Accuracy	Segments	Branch
96.0%	1	`z`
96.0%	1	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))

Compiler

Compiled 124 to 61 computations (50.8% saved)

regimes15.0ms (0.1%)

Memory

-23.3MiB live, 22.4MiB allocated; 3ms collecting garbage

Counts

18 → 1

Calls

Call 1

Inputs
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (sqrt.f64 (.f64 #s(literal 15 binary64) (PI.f64))) (*.f64 (/.f64 (exp.f64 #s(literal -15/2 binary64)) z) #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 (sqrt.f64 (*.f64 #s(literal 15 binary64) (PI.f64))) (/.f64 (exp.f64 #s(literal -15/2 binary64)) z)) #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 (.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 15 binary64))) (exp.f64 #s(literal -15/2 binary64))) z) #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 (.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 15 binary64))) (exp.f64 #s(literal -15/2 binary64))) #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 #s(approx (/ ( (sqrt (* (PI) 15)) (exp -15/2)) z) (.f64 (.f64 (exp.f64 #s(literal -15/2 binary64)) (/.f64 (sqrt.f64 #s(literal 15 binary64)) z)) (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 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (exp.f64 #s(literal -15/2 binary64)) (sqrt.f64 #s(literal 15 binary64))) z)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))
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#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (/.f64 (.f64 (/.f64 (PI.f64) (sqrt.f64 (PI.f64))) (.f64 (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 #s(literal -15/2 binary64)))) z) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))
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#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (.f64 (/.f64 (pow.f64 (.f64 #s(literal 15 binary64) (PI.f64)) #s(literal 1 binary64)) (sqrt.f64 (.f64 #s(literal 15 binary64) (PI.f64)))) (/.f64 (exp.f64 #s(literal -15/2 binary64)) z)) #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 (.f64 (sqrt.f64 (PI.f64)) (.f64 (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (cosh.f64 #s(literal -15/2 binary64)) (sinh.f64 #s(literal -15/2 binary64))))) z) #s(literal 1106209385320415913103082059/4200000000000000000000000 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 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) #s(approx (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))) (fma.f64 (fma.f64 (fma.f64 #s(literal 4027292589444183035165374538123333/6638284800000000000000000000000 binary64) z #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64)) z #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64)) z #s(literal 1106209385320415913103082059/4200000000000000000000000 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 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 #s(approx (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (fma.f64 (fma.f64 (fma.f64 #s(literal 19664514596894233501133157847/32413500000000000000000000 binary64) z #s(literal 1261892996482553330703662111/2315250000000000000000000 binary64)) z #s(literal 16055934341359023345617179/36750000000000000000000 binary64)) z #s(literal 1382761731551712743134679/5250000000000000000000 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 #s(literal 1 binary64) z)) (.f64 #s(approx ( (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (.f64 (sqrt.f64 (PI.f64)) (.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 #s(literal -15/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.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))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)))))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 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 #s(literal 1/6 binary64) (.f64 z z)) (.f64 (PI.f64) (PI.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 #s(approx (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (fma.f64 (fma.f64 (fma.f64 #s(literal 19664514596894233501133157847/32413500000000000000000000 binary64) z #s(literal 1261892996482553330703662111/2315250000000000000000000 binary64)) z #s(literal 16055934341359023345617179/36750000000000000000000 binary64)) z #s(literal 1382761731551712743134679/5250000000000000000000 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 (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 z z)) (*.f64 (PI.f64) (PI.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 #s(approx (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (fma.f64 (fma.f64 (fma.f64 #s(literal 19664514596894233501133157847/32413500000000000000000000 binary64) z #s(literal 1261892996482553330703662111/2315250000000000000000000 binary64)) z #s(literal 16055934341359023345617179/36750000000000000000000 binary64)) z #s(literal 1382761731551712743134679/5250000000000000000000 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:

6.0ms

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

5.0ms

Results

Accuracy	Segments	Branch
96.0%	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))))))
96.0%	1	`z`

Compiler

Compiled 124 to 61 computations (50.8% saved)

regimes13.0ms (0.1%)

Memory

22.1MiB live, 22.2MiB allocated; 0ms collecting garbage

Counts

17 → 1

Calls

Call 1

Inputs
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (sqrt.f64 (.f64 #s(literal 15 binary64) (PI.f64))) (*.f64 (/.f64 (exp.f64 #s(literal -15/2 binary64)) z) #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 (sqrt.f64 (*.f64 #s(literal 15 binary64) (PI.f64))) (/.f64 (exp.f64 #s(literal -15/2 binary64)) z)) #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 (.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 15 binary64))) (exp.f64 #s(literal -15/2 binary64))) z) #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 (.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 15 binary64))) (exp.f64 #s(literal -15/2 binary64))) #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 #s(approx (/ ( (sqrt (* (PI) 15)) (exp -15/2)) z) (.f64 (.f64 (exp.f64 #s(literal -15/2 binary64)) (/.f64 (sqrt.f64 #s(literal 15 binary64)) z)) (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 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (exp.f64 #s(literal -15/2 binary64)) (sqrt.f64 #s(literal 15 binary64))) z)) #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 (.f64 (sqrt.f64 (PI.f64)) (.f64 (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 #s(literal -15/2 binary64)))) z) #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 (.f64 (/.f64 (PI.f64) (sqrt.f64 (PI.f64))) (.f64 (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 #s(literal -15/2 binary64)))) z) #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 (.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 15 binary64))) (+.f64 (cosh.f64 #s(literal -15/2 binary64)) (sinh.f64 #s(literal -15/2 binary64)))) z) #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 (sqrt.f64 (*.f64 #s(literal 15 binary64) (PI.f64))) (+.f64 (/.f64 (cosh.f64 #s(literal -15/2 binary64)) z) (/.f64 (sinh.f64 #s(literal -15/2 binary64)) z))) #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 (/.f64 (pow.f64 (.f64 #s(literal 15 binary64) (PI.f64)) #s(literal 1 binary64)) (sqrt.f64 (.f64 #s(literal 15 binary64) (PI.f64)))) (/.f64 (exp.f64 #s(literal -15/2 binary64)) z)) #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 (.f64 (sqrt.f64 (PI.f64)) (.f64 (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (cosh.f64 #s(literal -15/2 binary64)) (sinh.f64 #s(literal -15/2 binary64))))) z) #s(literal 1106209385320415913103082059/4200000000000000000000000 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 #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))))) #s(approx (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))) (fma.f64 (fma.f64 (fma.f64 #s(literal 4027292589444183035165374538123333/6638284800000000000000000000000 binary64) z #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64)) z #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64)) z #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))))
(.f64 #s(approx (/ (PI) (sin ( (PI) z))) (/.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) (.f64 z z)) (.f64 (PI.f64) (PI.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))))) #s(approx (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))) (fma.f64 (fma.f64 (fma.f64 #s(literal 4027292589444183035165374538123333/6638284800000000000000000000000 binary64) z #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64)) z #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64)) z #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))))
(.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 #s(approx (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (fma.f64 (fma.f64 (fma.f64 #s(literal 19664514596894233501133157847/32413500000000000000000000 binary64) z #s(literal 1261892996482553330703662111/2315250000000000000000000 binary64)) z #s(literal 16055934341359023345617179/36750000000000000000000 binary64)) z #s(literal 1382761731551712743134679/5250000000000000000000 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 #s(literal 1 binary64) z)) (.f64 #s(approx ( (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (.f64 (sqrt.f64 (PI.f64)) (.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 #s(literal -15/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.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))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)))))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 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 (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 z z)) (*.f64 (PI.f64) (PI.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))))) #s(approx (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))) (fma.f64 (fma.f64 (fma.f64 #s(literal 4027292589444183035165374538123333/6638284800000000000000000000000 binary64) z #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64)) z #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64)) z #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))))

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))))))

5.0ms

Results

Accuracy	Segments	Branch
96.0%	1	`z`
96.0%	1	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))

Compiler

Compiled 124 to 61 computations (50.8% saved)

regimes14.0ms (0.1%)

Memory

-31.7MiB live, 18.6MiB allocated; 6ms collecting garbage

Counts

14 → 1

Calls

Call 1

Inputs
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (.f64 (sqrt.f64 (.f64 #s(literal 15 binary64) (PI.f64))) (*.f64 (/.f64 (exp.f64 #s(literal -15/2 binary64)) z) #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 (sqrt.f64 (*.f64 #s(literal 15 binary64) (PI.f64))) (/.f64 (exp.f64 #s(literal -15/2 binary64)) z)) #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 (.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 15 binary64))) (exp.f64 #s(literal -15/2 binary64))) z) #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 (.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 15 binary64))) (exp.f64 #s(literal -15/2 binary64))) #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 #s(approx (/ ( (sqrt (* (PI) 15)) (exp -15/2)) z) (.f64 (.f64 (exp.f64 #s(literal -15/2 binary64)) (/.f64 (sqrt.f64 #s(literal 15 binary64)) z)) (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 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (exp.f64 #s(literal -15/2 binary64)) (sqrt.f64 #s(literal 15 binary64))) z)) #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 (.f64 (sqrt.f64 (PI.f64)) (.f64 (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 #s(literal -15/2 binary64)))) z) #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 (.f64 (/.f64 (PI.f64) (sqrt.f64 (PI.f64))) (.f64 (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 #s(literal -15/2 binary64)))) z) #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 (.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 15 binary64))) (+.f64 (cosh.f64 #s(literal -15/2 binary64)) (sinh.f64 #s(literal -15/2 binary64)))) z) #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 (sqrt.f64 (*.f64 #s(literal 15 binary64) (PI.f64))) (+.f64 (/.f64 (cosh.f64 #s(literal -15/2 binary64)) z) (/.f64 (sinh.f64 #s(literal -15/2 binary64)) z))) #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 (/.f64 (pow.f64 (.f64 #s(literal 15 binary64) (PI.f64)) #s(literal 1 binary64)) (sqrt.f64 (.f64 #s(literal 15 binary64) (PI.f64)))) (/.f64 (exp.f64 #s(literal -15/2 binary64)) z)) #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 (.f64 (sqrt.f64 (PI.f64)) (.f64 (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (cosh.f64 #s(literal -15/2 binary64)) (sinh.f64 #s(literal -15/2 binary64))))) z) #s(literal 1106209385320415913103082059/4200000000000000000000000 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 #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))))) #s(approx (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))) (fma.f64 (fma.f64 (fma.f64 #s(literal 4027292589444183035165374538123333/6638284800000000000000000000000 binary64) z #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64)) z #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64)) z #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))))

Outputs

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

4.0ms

Results

Accuracy	Segments	Branch
95.7%	1	`z`
95.7%	1	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))

Compiler

Compiled 124 to 61 computations (50.8% saved)

regimes7.0ms (0%)

Memory

9.8MiB live, 9.8MiB allocated; 0ms collecting garbage

Counts

7 → 1

Calls

Call 1

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

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))))))

2.0ms

Results

Accuracy	Segments	Branch
95.4%	1	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
95.4%	1	`z`

Compiler

Compiled 124 to 61 computations (50.8% saved)

regimes5.0ms (0%)

Memory

7.8MiB live, 7.8MiB allocated; 0ms collecting garbage

Counts

4 → 1

Calls

Call 1

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

Calls

2 calls:

2.0ms

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

2.0ms

Results

Accuracy	Segments	Branch
95.0%	1	`z`
95.0%	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)

regimes4.0ms (0%)

Memory

6.4MiB live, 6.4MiB allocated; 0ms collecting garbage

Accuracy

Total -0.1b remaining (-4.4%)

Threshold costs -0.1b (-4.4%)

Counts

2 → 1

Calls

Call 1

Inputs

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

Calls

2 calls:

2.0ms

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

1.0ms

Results

Accuracy	Segments	Branch
94.9%	1	`z`
94.9%	1	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))

Compiler

Compiled 124 to 61 computations (50.8% saved)

simplify101.0ms (0.5%)

Memory

-4.3MiB live, 87.2MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	306	2522
1	453	2502
2	958	2259
3	4937	2254

Stop Event

1×	node limit

Calls

Call 1

Inputs
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Outputs
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derivations933.0ms (4.3%)

Memory

-0.5MiB live, 535.8MiB allocated; 100ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 2 517 to 331 computations (86.8% saved)

preprocess358.0ms (1.7%)

Memory: -8.5MiB live, 227.9MiB allocated; 24ms collecting garbage
Compiler: Compiled 5 280 to 782 computations (85.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze2.1s (9.9%)

sample8.0s (37.3%)

explain1.5s (6.9%)

preprocess243.0ms (1.1%)

eval0.0ms (0%)

prune2.0ms (0%)

series70.0ms (0.3%)

simplify232.0ms (1.1%)

rewrite255.0ms (1.2%)

eval459.0ms (2.1%)

prune126.0ms (0.6%)

series55.0ms (0.3%)

simplify1.1s (5.2%)

rewrite391.0ms (1.8%)

eval750.0ms (3.5%)

prune192.0ms (0.9%)

series50.0ms (0.2%)

simplify240.0ms (1.1%)

rewrite464.0ms (2.1%)

eval670.0ms (3.1%)

prune271.0ms (1.3%)

series36.0ms (0.2%)

simplify281.0ms (1.3%)

rewrite451.0ms (2.1%)

eval705.0ms (3.3%)

prune392.0ms (1.8%)

regimes161.0ms (0.7%)

regimes97.0ms (0.5%)

regimes97.0ms (0.5%)

regimes127.0ms (0.6%)

regimes103.0ms (0.5%)

regimes54.0ms (0.3%)

regimes59.0ms (0.3%)

regimes53.0ms (0.2%)

regimes59.0ms (0.3%)

regimes88.0ms (0.4%)

regimes38.0ms (0.2%)

regimes31.0ms (0.1%)

regimes22.0ms (0.1%)

regimes15.0ms (0.1%)

regimes13.0ms (0.1%)

regimes14.0ms (0.1%)

regimes7.0ms (0%)

regimes5.0ms (0%)

regimes4.0ms (0%)

simplify101.0ms (0.5%)

derivations933.0ms (4.3%)

preprocess358.0ms (1.7%)

end0.0ms (0%)

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