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

analyze603.0ms (0.4%)

Memory

26.3MiB live, 970.5MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	74.9%	25.1%	0%	0%	0%	0
0%	0%	74.9%	25.1%	0%	0%	0%	1
0%	0%	74.9%	25.1%	0%	0%	0%	2
25%	18.7%	56.2%	25.1%	0%	0%	0%	3
50%	37.5%	37.5%	25.1%	0%	0%	0%	4
56.3%	42.1%	32.8%	25.1%	0%	0%	0%	5
62.5%	46.8%	28.1%	25.1%	0%	0%	0%	6
64.1%	48%	26.9%	25.1%	0%	0%	0%	7
65.6%	49.2%	25.8%	25.1%	0%	0%	0%	8
66%	49.5%	25.5%	25.1%	0%	0%	0%	9
66.4%	49.8%	25.2%	25.1%	0%	0%	0%	10
66.5%	49.8%	25.1%	25.1%	0%	0%	0%	11
66.6%	49.9%	25.1%	25.1%	0%	0%	0%	12

Compiler

Compiled 127 to 62 computations (51.2% saved)

sample2.2min (88.6%)

Memory

253.6MiB live, 45 605.5MiB allocated

Samples

29.0s	4 123×	5	exit
4.5s	8 256×	0	valid
50.0ms	89×	0	exit

Precisions

Click to see histograms. Total time spent on operations: 32.6s

ival-sin: 22.5s (69.1% of total)

adjust: 2.1s (6.4% of total)

const: 1.9s (6% of total)

ival-add: 1.8s (5.6% of total)

ival-div: 1.2s (3.7% of total)

ival-mult: 1.1s (3.5% of total)

ival-<=: 471.0ms (1.4% of total)

ival-pow: 436.0ms (1.3% of total)

ival-sqrt: 285.0ms (0.9% of total)

ival-sub: 210.0ms (0.6% of total)

ival-pi: 191.0ms (0.6% of total)

ival-exp: 171.0ms (0.5% of total)

ival-neg: 78.0ms (0.2% of total)

exact: 70.0ms (0.2% of total)

ival-assert: 9.0ms (0% of total)

Bogosity

preprocess322.0ms (0.2%)

Memory

31.2MiB live, 622.6MiB allocated

Algorithm

2×	egg-herbie

Rules

5 942×	`accelerator-lowering-fma.f32`
5 942×	`accelerator-lowering-fma.f64`
4 752×	`-lowering-.f32`
4 752×	`-lowering-.f64`
3 832×	`+-lowering-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	100	328
1	276	288
2	1269	224
0	60	101
1	156	95
2	615	76
3	4068	74
0	8139	74

Stop Event

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

Calls

Call 1

Inputs

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

Outputs

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

Call 2

Inputs

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

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

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

explain1.8s (1.2%)

Memory

-179.8MiB live, 2 652.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
250	1	(-0.004509565682324185)	-	`(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))`
4	0	-	-	`(sin.f64 (*.f64 (PI.f64) z))`
4	0	-	-	`(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)))))`
0	0	-	-	`(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64))`
0	0	-	-	`(pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))`
0	0	-	-	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
0	0	-	-	`#s(literal 8 binary64)`
0	0	-	-	`#s(literal 1 binary64)`
0	0	-	-	`#s(literal 3 binary64)`
0	0	-	-	`#s(literal 9999999999998099/10000000000000000 binary64)`
0	0	-	-	`(.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64))))`
0	0	-	-	`(+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64))))`
0	0	-	-	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64))))
0	0	-	-	`(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64))`
0	0	-	-	`#s(literal 7713234287776531/10000000000000 binary64)`
0	0	-	-	`(*.f64 (PI.f64) z)`
0	0	-	-	`#s(literal 1/2 binary64)`
0	0	-	-	`#s(literal 7 binary64)`
0	0	-	-	`(/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))`
0	0	-	-	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64))))
0	0	-	-	`(-.f64 #s(literal 1 binary64) z)`
0	0	-	-	`#s(literal 6765203681218851/10000000000000 binary64)`
0	0	-	-	`#s(literal 3764081837873279/25000000000000000000000 binary64)`
0	0	-	-	`z`
0	0	-	-	`(/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))`
0	0	-	-	(+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64))))
0	0	-	-	`(/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))`
0	0	-	-	`#s(literal 6 binary64)`
0	0	-	-	`(sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))`
0	0	-	-	`(exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))`
0	0	-	-	`(neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)))`
0	0	-	-	`(+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64))))`
0	0	-	-	`#s(literal 2 binary64)`
0	0	-	-	`(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64))`
0	0	-	-	`(/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))`
0	0	-	-	`(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))`
0	0	-	-	`(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64))`
0	0	-	-	(+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64))))
0	0	-	-	`(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64))`
0	0	-	-	`#s(literal -883075145810703/5000000000000 binary64)`
0	0	-	-	`#s(literal 5 binary64)`
0	0	-	-	`(/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))`
0	0	-	-	`#s(literal -3147848041806007/2500000000000 binary64)`
0	0	-	-	`#s(literal -3464277381643003/25000000000000000 binary64)`
0	0	-	-	`#s(literal 2501468655737381/200000000000000 binary64)`
0	0	-	-	`(/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))`
0	0	-	-	`(+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))`
0	0	-	-	`(PI.f64)`
0	0	-	-	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64))))
0	0	-	-	`(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))`
0	0	-	-	`(*.f64 (PI.f64) #s(literal 2 binary64))`
0	0	-	-	`#s(literal 4 binary64)`
0	0	-	-	`#s(literal 2496092394504893/250000000000000000000 binary64)`
0	0	-	-	`(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64))`
0	0	-	-	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))
0	0	-	-	`(/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64)))`
0	0	-	-	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64)))))
0	0	-	-	`(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64))`
0	0	-	-	`(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64))`
0	0	-	-	`(/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))`	cancellation	20	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**	4	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	4
↳	`(pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 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	4
↳	`(exp.f64 (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	4
`sin.f64`	`(sin.f64 (*.f64 (PI.f64) z))`	sensitivity	4	0

Confusion

	Predicted +	Predicted -
+	4	0
-	20	232

Precision

0.16666666666666666

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	4	0	0
-	20	0	232

Precision?

0.16666666666666666

Recall?

1.0

Freqs

test

number	freq
0	232
1	20
2	4

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

658.0ms	340×	1	valid
166.0ms	134×	2	valid
24.0ms	38×	0	valid

Compiler

Compiled 2 038 to 244 computations (88% saved)

Precisions

Click to see histograms. Total time spent on operations: 751.0ms

ival-exp: 268.0ms (35.7% of total)

ival-add: 115.0ms (15.3% of total)

const: 95.0ms (12.7% of total)

ival-mult: 67.0ms (8.9% of total)

ival-div: 59.0ms (7.9% of total)

adjust: 52.0ms (6.9% of total)

ival-sqrt: 34.0ms (4.5% of total)

ival-pow: 24.0ms (3.2% of total)

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

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

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

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

exact: 4.0ms (0.5% of total)

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

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

eval2.0ms (0%)

Memory: -38.0MiB live, 0.4MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

4.8MiB live, 4.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	95.8%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 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

▶

95.8%

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

Compiler

Compiled 124 to 60 computations (51.6% saved)

simplify348.0ms (0.2%)

Memory

17.9MiB live, 626.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

5 942×	`accelerator-lowering-fma.f32`
5 942×	`accelerator-lowering-fma.f64`
4 752×	`-lowering-.f32`
4 752×	`-lowering-.f64`
3 832×	`+-lowering-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	60	721
1	156	677
2	615	534
3	4068	523
0	8139	523

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

Outputs
(* (/ (PI) (sin (* (PI) z))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 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 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)))))))))
(/ (PI) (sin (* (PI) z)))
(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
(PI)
(PI.f64)
(sin (* (PI) z))
(sin.f64 (*.f64 (PI.f64) z))
(* (PI) z)
(*.f64 (PI.f64) 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))))
(.f64 (/.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z))))))))
(* (* (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 (.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))
(* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2)))
(.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))
(sqrt (* (PI) 2))
(sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))
(* (PI) 2)
(*.f64 (PI.f64) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(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))
(+ (+ (- (- 1 z) 1) 7) 1/2)
(-.f64 #s(literal 15/2 binary64) z)
(+ (- (- 1 z) 1) 7)
(-.f64 #s(literal 7 binary64) z)
(- (- 1 z) 1)
(-.f64 #s(literal 0 binary64) z)
(- 1 z)
(-.f64 #s(literal 1 binary64) z)
1
#s(literal 1 binary64)
7
#s(literal 7 binary64)
1/2
#s(literal 1/2 binary64)
(+ (- (- 1 z) 1) 1/2)
(-.f64 #s(literal 1/2 binary64) z)
(exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))
(exp.f64 (+.f64 z #s(literal -15/2 binary64)))
(neg (+ (+ (- (- 1 z) 1) 7) 1/2))
(+.f64 z #s(literal -15/2 binary64))
(+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 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) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)))))))
(+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7)))
(+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)))))))
(+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6)))
(+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z))))))
(+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5)))
(+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)))) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)))))
(+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4)))
(+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)))) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z))))
(+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3)))
(+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)))))
(+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2)))
(+.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 #s(literal 2 binary64) z))))
(+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1)))
(+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)))
9999999999998099/10000000000000000
#s(literal 9999999999998099/10000000000000000 binary64)
(/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))
(/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))
6765203681218851/10000000000000
#s(literal 6765203681218851/10000000000000 binary64)
(+ (- (- 1 z) 1) 1)
(-.f64 #s(literal 1 binary64) z)
(/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))
(/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))
-3147848041806007/2500000000000
#s(literal -3147848041806007/2500000000000 binary64)
(+ (- (- 1 z) 1) 2)
(-.f64 #s(literal 2 binary64) z)
(/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))
(/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))
7713234287776531/10000000000000
#s(literal 7713234287776531/10000000000000 binary64)
(+ (- (- 1 z) 1) 3)
(-.f64 #s(literal 3 binary64) z)
3
#s(literal 3 binary64)
(/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))
(/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z))
-883075145810703/5000000000000
#s(literal -883075145810703/5000000000000 binary64)
(+ (- (- 1 z) 1) 4)
(-.f64 #s(literal 4 binary64) z)
4
#s(literal 4 binary64)
(/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))
(/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z))
2501468655737381/200000000000000
#s(literal 2501468655737381/200000000000000 binary64)
(+ (- (- 1 z) 1) 5)
(-.f64 #s(literal 5 binary64) z)
5
#s(literal 5 binary64)
(/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))
(/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z))
-3464277381643003/25000000000000000
#s(literal -3464277381643003/25000000000000000 binary64)
(+ (- (- 1 z) 1) 6)
(-.f64 #s(literal 6 binary64) z)
6
#s(literal 6 binary64)
(/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))
(/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))
2496092394504893/250000000000000000000
#s(literal 2496092394504893/250000000000000000000 binary64)
(/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))
(/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z))
3764081837873279/25000000000000000000000
#s(literal 3764081837873279/25000000000000000000000 binary64)
(+ (- (- 1 z) 1) 8)
(-.f64 #s(literal 8 binary64) z)
8
#s(literal 8 binary64)

localize465.0ms (0.3%)

Memory

14.2MiB live, 879.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.4%	(sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))
✓	accuracy	97.2%	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)))))
✓	accuracy	95.7%	(+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64))))
✓	accuracy	9.1%	(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))

Samples

218.0ms	170×	1	valid
89.0ms	67×	2	valid
8.0ms	19×	0	valid

Compiler

Compiled 895 to 62 computations (93.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 268.0ms

ival-div: 87.0ms (32.5% of total)

const: 50.0ms (18.7% of total)

ival-add: 47.0ms (17.6% of total)

adjust: 25.0ms (9.3% of total)

ival-mult: 20.0ms (7.5% of total)

ival-pow: 12.0ms (4.5% of total)

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

ival-sub: 5.0ms (1.9% of total)

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

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

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

exact: 2.0ms (0.7% of total)

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

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

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

series10.0ms (0%)

Memory

-18.8MiB live, 19.6MiB allocated

Counts

7 → 72

Calls

Call 1

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

Outputs
#<alt 15/2>
#<alt (+ 15/2 (* -1 z))>
#<alt (+ 15/2 (* -1 z))>
#<alt (+ 15/2 (* -1 z))>
#<alt (* -1 z)>
#<alt (* z (- (* 15/2 (/ 1 z)) 1))>
#<alt (* z (- (* 15/2 (/ 1 z)) 1))>
#<alt (* z (- (* 15/2 (/ 1 z)) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (- 1 (* 15/2 (/ 1 z)))))>
#<alt (* -1 (* z (- 1 (* 15/2 (/ 1 z)))))>
#<alt (* -1 (* z (- 1 (* 15/2 (/ 1 z)))))>
#<alt 7>
#<alt (+ 7 (* -1 z))>
#<alt (+ 7 (* -1 z))>
#<alt (+ 7 (* -1 z))>
#<alt (* -1 z)>
#<alt (* z (- (* 7 (/ 1 z)) 1))>
#<alt (* z (- (* 7 (/ 1 z)) 1))>
#<alt (* z (- (* 7 (/ 1 z)) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (- 1 (* 7 (/ 1 z)))))>
#<alt (* -1 (* z (- 1 (* 7 (/ 1 z)))))>
#<alt (* -1 (* z (- 1 (* 7 (/ 1 z)))))>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt 1/2>
#<alt (+ 1/2 (* -1 z))>
#<alt (+ 1/2 (* -1 z))>
#<alt (+ 1/2 (* -1 z))>
#<alt (* -1 z)>
#<alt (* z (- (* 1/2 (/ 1 z)) 1))>
#<alt (* z (- (* 1/2 (/ 1 z)) 1))>
#<alt (* z (- (* 1/2 (/ 1 z)) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (- 1 (* 1/2 (/ 1 z)))))>
#<alt (* -1 (* z (- 1 (* 1/2 (/ 1 z)))))>
#<alt (* -1 (* z (- 1 (* 1/2 (/ 1 z)))))>
#<alt 479507597606835099/10000000000000000>
#<alt (+ 479507597606835099/10000000000000000 (* 904338909853211/2500000000000 z))>
#<alt (+ 479507597606835099/10000000000000000 (* z (+ 904338909853211/2500000000000 (* 2076511864126339/4000000000000 z))))>
#<alt (+ 479507597606835099/10000000000000000 (* z (+ 904338909853211/2500000000000 (* z (+ 2076511864126339/4000000000000 (* 23912966683069397/40000000000000 z))))))>
#<alt 9999999999998099/10000000000000000>
#<alt (+ 9999999999998099/10000000000000000 (* 5826188486005177/10000000000000 (/ 1 z)))>
#<alt (+ 9999999999998099/10000000000000000 (+ (* 5826188486005177/10000000000000 (/ 1 z)) (/ 3683516130645841/2000000000000 (pow z 2))))>
#<alt (+ 9999999999998099/10000000000000000 (+ (* 5826188486005177/10000000000000 (/ 1 z)) (+ (* 43600364987677261/10000000000000 (/ 1 (pow z 3))) (/ 3683516130645841/2000000000000 (pow z 2)))))>
#<alt 9999999999998099/10000000000000000>
#<alt (+ 9999999999998099/10000000000000000 (* 5826188486005177/10000000000000 (/ 1 z)))>
#<alt (+ 9999999999998099/10000000000000000 (+ (* 5826188486005177/10000000000000 (/ 1 z)) (/ 3683516130645841/2000000000000 (pow z 2))))>
#<alt (+ 9999999999998099/10000000000000000 (* -1 (/ (- (* -1 (/ (+ 3683516130645841/2000000000000 (* 43600364987677261/10000000000000 (/ 1 z))) z)) 5826188486005177/10000000000000) z)))>
#<alt (* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))))>
#<alt (+ (* (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))))>
#<alt (+ (* 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)))))>
#<alt (+ (* 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)))))>
#<alt (* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))))>
#<alt (* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))))>
#<alt (* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))))>
#<alt (* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))))>
#<alt (* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))>
#<alt (* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))>
#<alt (* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))>
#<alt (* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))>

Calls

18 calls:

Time	Variable		Point	Expression
4.0ms	z	@	inf	(* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2))))
2.0ms	z	@	0	(* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2))))
1.0ms	z	@	-inf	(* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2))))
0.0ms	z	@	inf	(+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2)))
0.0ms	z	@	0	(+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2)))

rewrite441.0ms (0.3%)

Memory

36.4MiB live, 857.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 034×	`accelerator-lowering-fma.f32`
4 034×	`accelerator-lowering-fma.f64`
3 992×	`/-lowering-/.f32`
3 992×	`/-lowering-/.f64`
3 242×	`-lowering-.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	71
1	217	62
2	2095	62
0	8482	62

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 363

Calls

Call 1

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

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

simplify582.0ms (0.4%)

Memory

-22.8MiB live, 916.2MiB allocated

Algorithm

1×	egg-herbie

Rules

9 516×	`accelerator-lowering-fma.f32`
9 516×	`accelerator-lowering-fma.f64`
4 778×	`-lowering-.f32`
4 778×	`-lowering-.f64`
2 746×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	148	733
1	456	692
2	1421	648
3	5082	647
0	8036	626

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

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

Outputs
15/2
#s(literal 15/2 binary64)
(+ 15/2 (* -1 z))
(-.f64 #s(literal 15/2 binary64) z)
(+ 15/2 (* -1 z))
(-.f64 #s(literal 15/2 binary64) z)
(+ 15/2 (* -1 z))
(-.f64 #s(literal 15/2 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* z (- (* 15/2 (/ 1 z)) 1))
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 15/2 binary64) z)))
(* z (- (* 15/2 (/ 1 z)) 1))
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 15/2 binary64) z)))
(* z (- (* 15/2 (/ 1 z)) 1))
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 15/2 binary64) z)))
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 (* z (- 1 (* 15/2 (/ 1 z)))))
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 15/2 binary64) z)))
(* -1 (* z (- 1 (* 15/2 (/ 1 z)))))
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 15/2 binary64) z)))
(* -1 (* z (- 1 (* 15/2 (/ 1 z)))))
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 15/2 binary64) z)))
7
#s(literal 7 binary64)
(+ 7 (* -1 z))
(-.f64 #s(literal 7 binary64) z)
(+ 7 (* -1 z))
(-.f64 #s(literal 7 binary64) z)
(+ 7 (* -1 z))
(-.f64 #s(literal 7 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* z (- (* 7 (/ 1 z)) 1))
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 7 binary64) z)))
(* z (- (* 7 (/ 1 z)) 1))
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 7 binary64) z)))
(* z (- (* 7 (/ 1 z)) 1))
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 7 binary64) z)))
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 (* z (- 1 (* 7 (/ 1 z)))))
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 7 binary64) z)))
(* -1 (* z (- 1 (* 7 (/ 1 z)))))
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 7 binary64) z)))
(* -1 (* z (- 1 (* 7 (/ 1 z)))))
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 7 binary64) z)))
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1 z))
(-.f64 #s(literal 1/2 binary64) z)
(+ 1/2 (* -1 z))
(-.f64 #s(literal 1/2 binary64) z)
(+ 1/2 (* -1 z))
(-.f64 #s(literal 1/2 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* z (- (* 1/2 (/ 1 z)) 1))
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) z)))
(* z (- (* 1/2 (/ 1 z)) 1))
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) z)))
(* z (- (* 1/2 (/ 1 z)) 1))
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) z)))
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 (* z (- 1 (* 1/2 (/ 1 z)))))
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) z)))
(* -1 (* z (- 1 (* 1/2 (/ 1 z)))))
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) z)))
(* -1 (* z (- 1 (* 1/2 (/ 1 z)))))
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) z)))
479507597606835099/10000000000000000
#s(literal 479507597606835099/10000000000000000 binary64)
(+ 479507597606835099/10000000000000000 (* 904338909853211/2500000000000 z))
(+.f64 #s(literal 479507597606835099/10000000000000000 binary64) (*.f64 z #s(literal 904338909853211/2500000000000 binary64)))
(+ 479507597606835099/10000000000000000 (* z (+ 904338909853211/2500000000000 (* 2076511864126339/4000000000000 z))))
(+.f64 #s(literal 479507597606835099/10000000000000000 binary64) (.f64 z (+.f64 #s(literal 904338909853211/2500000000000 binary64) (.f64 z #s(literal 2076511864126339/4000000000000 binary64)))))
(+ 479507597606835099/10000000000000000 (* z (+ 904338909853211/2500000000000 (* z (+ 2076511864126339/4000000000000 (* 23912966683069397/40000000000000 z))))))
(+.f64 #s(literal 479507597606835099/10000000000000000 binary64) (.f64 z (+.f64 #s(literal 904338909853211/2500000000000 binary64) (.f64 z (+.f64 #s(literal 2076511864126339/4000000000000 binary64) (*.f64 z #s(literal 23912966683069397/40000000000000 binary64)))))))
9999999999998099/10000000000000000
#s(literal 9999999999998099/10000000000000000 binary64)
(+ 9999999999998099/10000000000000000 (* 5826188486005177/10000000000000 (/ 1 z)))
(+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 5826188486005177/10000000000000 binary64) z))
(+ 9999999999998099/10000000000000000 (+ (* 5826188486005177/10000000000000 (/ 1 z)) (/ 3683516130645841/2000000000000 (pow z 2))))
(+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 5826188486005177/10000000000000 binary64) z)) (/.f64 #s(literal 3683516130645841/2000000000000 binary64) (*.f64 z z)))
(+ 9999999999998099/10000000000000000 (+ (* 5826188486005177/10000000000000 (/ 1 z)) (+ (* 43600364987677261/10000000000000 (/ 1 (pow z 3))) (/ 3683516130645841/2000000000000 (pow z 2)))))
(+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 5826188486005177/10000000000000 binary64) z)) (/.f64 #s(literal 3683516130645841/2000000000000 binary64) (.f64 z z))) (/.f64 (/.f64 #s(literal 43600364987677261/10000000000000 binary64) z) (.f64 z z)))
9999999999998099/10000000000000000
#s(literal 9999999999998099/10000000000000000 binary64)
(+ 9999999999998099/10000000000000000 (* 5826188486005177/10000000000000 (/ 1 z)))
(+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 5826188486005177/10000000000000 binary64) z))
(+ 9999999999998099/10000000000000000 (+ (* 5826188486005177/10000000000000 (/ 1 z)) (/ 3683516130645841/2000000000000 (pow z 2))))
(+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 5826188486005177/10000000000000 binary64) z)) (/.f64 #s(literal 3683516130645841/2000000000000 binary64) (*.f64 z z)))
(+ 9999999999998099/10000000000000000 (* -1 (/ (- (* -1 (/ (+ 3683516130645841/2000000000000 (* 43600364987677261/10000000000000 (/ 1 z))) z)) 5826188486005177/10000000000000) z)))
(+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 (+.f64 #s(literal 5826188486005177/10000000000000 binary64) (/.f64 (+.f64 #s(literal 3683516130645841/2000000000000 binary64) (/.f64 #s(literal 43600364987677261/10000000000000 binary64) z)) z)) z))
(* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (exp.f64 #s(literal -15/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64)))))
(+ (* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))) (* (* z (+ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15)))))) (sqrt (PI))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (exp.f64 #s(literal -15/2 binary64)) (+.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (.f64 z (.f64 (+.f64 (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))))))))
(+ (* z (+ (* (sqrt (PI)) (+ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15)))))) (* (* z (+ (* 1/2 (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))) (+ (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2)))))) (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))))))) (sqrt (PI))))) (* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (exp.f64 #s(literal -15/2 binary64)) (+.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (.f64 z (.f64 (+.f64 (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))))))) (.f64 z (.f64 z (.f64 (.f64 (exp.f64 #s(literal -15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 15/2 binary64))) (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (+.f64 (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))) (+.f64 #s(literal 29/225 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 2 binary64))))))))))))
(+ (* 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)))))
(+.f64 (.f64 (sqrt.f64 (PI.f64)) (.f64 (exp.f64 #s(literal -15/2 binary64)) (+.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (.f64 z (.f64 (+.f64 (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64)))))))) (.f64 z (.f64 z (.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (.f64 (exp.f64 #s(literal -15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 15/2 binary64))) (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (+.f64 (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))) (+.f64 #s(literal 29/225 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 2 binary64)))))))) (.f64 z (+.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (.f64 (exp.f64 #s(literal -15/2 binary64)) #s(literal 1/6 binary64))) (.f64 (.f64 (exp.f64 #s(literal -15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))))) (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (+.f64 (+.f64 #s(literal 29/225 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 3 binary64))) (+.f64 (.f64 (log.f64 #s(literal 15/2 binary64)) #s(literal -29/225 binary64)) #s(literal -1/10125 binary64))))))))))))))
(* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))
(* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))
(* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))
(* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))
(* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))
(/.f64 (.f64 (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)))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))
(* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))
(/.f64 (.f64 (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)))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))
(* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))
(/.f64 (.f64 (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)))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))
(* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))
(/.f64 (.f64 (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)))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))

eval371.0ms (0.2%)

Memory: -5.4MiB live, 663.5MiB allocated
Compiler: Compiled 178 030 to 8 444 computations (95.3% saved)

prune259.0ms (0.2%)

Memory

3.1MiB live, 526.6MiB allocated

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	1 292	12	1 304
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	1 293	12	1 305

Accuracy

98.7%

Counts

1 305 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	95.3%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (/.f64 (.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)))) (exp.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
	95.9%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 (-.f64 #s(literal 0 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
	95.8%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -11/2 binary64)) (+.f64 (*.f64 (-.f64 #s(literal 8 binary64) (+.f64 #s(literal 1 binary64) z)) (-.f64 #s(literal 8 binary64) (+.f64 #s(literal 1 binary64) z))) #s(literal -1/4 binary64))))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
	96.9%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (.f64 (+.f64 #s(literal 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 binary64) (/.f64 #s(literal 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 binary64) (.f64 (-.f64 #s(literal 1 binary64) z) (.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))))) (-.f64 (-.f64 #s(literal -2500000000000/3147848041806007 binary64) (/.f64 z #s(literal -3147848041806007/2500000000000 binary64))) #s(literal 2500000000000/3147848041806007 binary64))) (.f64 (+.f64 #s(literal 99999999999961980000000003613801/100000000000000000000000000000000 binary64) (/.f64 (-.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6765203681218851/10000000000000 binary64)))) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 99999999999961980000000003613801/100000000000000000000000000000000 binary64) (/.f64 (-.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6765203681218851/10000000000000 binary64)))) (-.f64 (-.f64 #s(literal -2500000000000/3147848041806007 binary64) (/.f64 z #s(literal -3147848041806007/2500000000000 binary64))) #s(literal 2500000000000/3147848041806007 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
	97.0%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)))) #s(literal 9999999999998099/10000000000000000 binary64)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
	96.5%	(.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 479507597606835099/10000000000000000 binary64) (.f64 z (+.f64 #s(literal 904338909853211/2500000000000 binary64) (.f64 z (+.f64 #s(literal 2076511864126339/4000000000000 binary64) (*.f64 z #s(literal 23912966683069397/40000000000000 binary64))))))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
	96.2%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 479507597606835099/10000000000000000 binary64) (.f64 z (+.f64 #s(literal 904338909853211/2500000000000 binary64) (.f64 z #s(literal 2076511864126339/4000000000000 binary64))))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
▶	95.9%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.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 479507597606835099/10000000000000000 binary64) (*.f64 z #s(literal 904338909853211/2500000000000 binary64))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 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 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 479507597606835099/10000000000000000 binary64) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
▶	21.6%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
▶	95.8%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 #s(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))))))
▶	97.8%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 (+.f64 (+.f64 (.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)) (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)))) (.f64 (log.f64 (.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 1/2 binary64)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))

Compiler

Compiled 2 856 to 1 460 computations (48.9% saved)

simplify359.0ms (0.2%)

Memory

35.4MiB live, 743.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64))
✓	cost-diff	128	(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
✓	cost-diff	128	(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64))
✓	cost-diff	128	(+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))
✓	cost-diff	128	(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
✓	cost-diff	128	(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	cost-diff	128	(+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64))
✓	cost-diff	128	(+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64))
✓	cost-diff	128	(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64))
✓	cost-diff	128	(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
✓	cost-diff	128	(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64))
✓	cost-diff	128	(+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))
✓	cost-diff	128	(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64))
✓	cost-diff	128	(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
✓	cost-diff	128	(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64))
✓	cost-diff	128	(+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))
✓	cost-diff	128	(-.f64 #s(literal 0 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)))
✓	cost-diff	128	(+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64))
✓	cost-diff	128	(+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64))
✓	cost-diff	192	(exp.f64 (+.f64 (+.f64 (.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)) (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)))) (.f64 (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 1/2 binary64))))

Rules

5 630×	`-lowering-.f32`
5 630×	`-lowering-.f64`
5 520×	`accelerator-lowering-fma.f32`
5 520×	`accelerator-lowering-fma.f64`
4 022×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	108	3254
1	311	2962
2	1500	2406
3	6716	2406
0	8847	2394

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (/ (PI) (sin (* (PI) z))) (* (exp (+ (+ (* (+ (- 1 z) -1/2) (log (+ (- 1 z) 13/2))) (- 0 (+ (- 1 z) 13/2))) (* (log (* 2 (PI))) 1/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 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
(* (exp (+ (+ (* (+ (- 1 z) -1/2) (log (+ (- 1 z) 13/2))) (- 0 (+ (- 1 z) 13/2))) (* (log (* 2 (PI))) 1/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))
(exp (+ (+ (* (+ (- 1 z) -1/2) (log (+ (- 1 z) 13/2))) (- 0 (+ (- 1 z) 13/2))) (* (log (* 2 (PI))) 1/2)))
(+ (+ (* (+ (- 1 z) -1/2) (log (+ (- 1 z) 13/2))) (- 0 (+ (- 1 z) 13/2))) (* (log (* 2 (PI))) 1/2))
(+ (* (+ (- 1 z) -1/2) (log (+ (- 1 z) 13/2))) (- 0 (+ (- 1 z) 13/2)))
(* (+ (- 1 z) -1/2) (log (+ (- 1 z) 13/2)))
(+ (- 1 z) -1/2)
(- 1 z)
1
-1/2
(log (+ (- 1 z) 13/2))
(+ (- 1 z) 13/2)
13/2
(- 0 (+ (- 1 z) 13/2))
0
(* (log (* 2 (PI))) 1/2)
(log (* 2 (PI)))
(* 2 (PI))
2
1/2
(+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 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)
(- (- 1 z) 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
(+ (- (- 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 (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 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 (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 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 (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 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 (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -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 (/ 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 (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5)))
(+ (+ 9999999999998099/10000000000000000 (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4)))
(+ 9999999999998099/10000000000000000 (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3)))
9999999999998099/10000000000000000
(/ 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
(* (/ (PI) (sin (* (PI) z))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ 479507597606835099/10000000000000000 (* z 904338909853211/2500000000000)) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 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)))) (+ (+ (+ (+ (+ (+ (+ 479507597606835099/10000000000000000 (* z 904338909853211/2500000000000)) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 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))
(+ (+ (+ (+ (+ (+ (+ 479507597606835099/10000000000000000 (* z 904338909853211/2500000000000)) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))
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479507597606835099/10000000000000000
(* z 904338909853211/2500000000000)
904338909853211/2500000000000
(/ 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
(* (/ (PI) (sin (* (PI) z))) (* (/ (* (sqrt (* 2 (PI))) (pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2))) (exp (+ (- 1 z) 13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))))
(/ (PI) (sin (* (PI) z)))
(PI)
(sin (* (PI) z))
(* (PI) z)
z
(* (/ (* (sqrt (* 2 (PI))) (pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2))) (exp (+ (- 1 z) 13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))
(/ (* (sqrt (* 2 (PI))) (pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2))) (exp (+ (- 1 z) 13/2)))
(* (sqrt (* 2 (PI))) (pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2)))
(sqrt (* 2 (PI)))
(* 2 (PI))
2
(pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2))
(+ (- 1 z) 13/2)
(- 1 z)
1
13/2
(+ (- 1 z) -1/2)
-1/2
(exp (+ (- 1 z) 13/2))
(+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))
(+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -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)))
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(+ (+ 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)
(- (- 1 z) 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
(+ (- (- 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 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)))))
(/ (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 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))))
(* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg 15/2)))
(* (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 15/2))
(neg 15/2)
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)))
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(+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 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

Outputs
(* (/ (PI) (sin (* (PI) z))) (* (exp (+ (+ (* (+ (- 1 z) -1/2) (log (+ (- 1 z) 13/2))) (- 0 (+ (- 1 z) 13/2))) (* (log (* 2 (PI))) 1/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 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 (.f64 (PI.f64) #s(literal 2 binary64)))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z))))) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)))))) (.f64 (sin.f64 (.f64 (PI.f64) z)) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))))
(/ (PI) (sin (* (PI) z)))
(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
(PI)
(PI.f64)
(sin (* (PI) z))
(sin.f64 (*.f64 (PI.f64) z))
(* (PI) z)
(*.f64 (PI.f64) z)
z
(* (exp (+ (+ (* (+ (- 1 z) -1/2) (log (+ (- 1 z) 13/2))) (- 0 (+ (- 1 z) 13/2))) (* (log (* 2 (PI))) 1/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 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 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z))))) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))))) (/.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (exp.f64 (-.f64 #s(literal 15/2 binary64) z)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))))
(exp (+ (+ (* (+ (- 1 z) -1/2) (log (+ (- 1 z) 13/2))) (- 0 (+ (- 1 z) 13/2))) (* (log (* 2 (PI))) 1/2)))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (exp.f64 (-.f64 #s(literal 15/2 binary64) z)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))))
(+ (+ (* (+ (- 1 z) -1/2) (log (+ (- 1 z) 13/2))) (- 0 (+ (- 1 z) 13/2))) (* (log (* 2 (PI))) 1/2))
(+.f64 (+.f64 (.f64 (-.f64 #s(literal 1/2 binary64) z) (log.f64 (-.f64 #s(literal 15/2 binary64) z))) (+.f64 z #s(literal -15/2 binary64))) (.f64 (log.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(+ (* (+ (- 1 z) -1/2) (log (+ (- 1 z) 13/2))) (- 0 (+ (- 1 z) 13/2)))
(+.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) z) (log.f64 (-.f64 #s(literal 15/2 binary64) z))) (+.f64 z #s(literal -15/2 binary64)))
(* (+ (- 1 z) -1/2) (log (+ (- 1 z) 13/2)))
(*.f64 (-.f64 #s(literal 1/2 binary64) z) (log.f64 (-.f64 #s(literal 15/2 binary64) z)))
(+ (- 1 z) -1/2)
(-.f64 #s(literal 1/2 binary64) z)
(- 1 z)
(-.f64 #s(literal 1 binary64) z)
1
#s(literal 1 binary64)
-1/2
#s(literal -1/2 binary64)
(log (+ (- 1 z) 13/2))
(log.f64 (-.f64 #s(literal 15/2 binary64) z))
(+ (- 1 z) 13/2)
(-.f64 #s(literal 15/2 binary64) z)
13/2
#s(literal 13/2 binary64)
(- 0 (+ (- 1 z) 13/2))
(+.f64 z #s(literal -15/2 binary64))
0
#s(literal 0 binary64)
(* (log (* 2 (PI))) 1/2)
(.f64 (log.f64 (.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(log (* 2 (PI)))
(log.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))
(* 2 (PI))
(*.f64 (PI.f64) #s(literal 2 binary64))
2
#s(literal 2 binary64)
1/2
#s(literal 1/2 binary64)
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#s(literal 4 binary64)
(/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))
(/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z))
2501468655737381/200000000000000
#s(literal 2501468655737381/200000000000000 binary64)
(+ (- (- 1 z) 1) 5)
(-.f64 #s(literal 5 binary64) z)
5
#s(literal 5 binary64)
(/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))
(/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z))
-3464277381643003/25000000000000000
#s(literal -3464277381643003/25000000000000000 binary64)
(+ (- (- 1 z) 1) 6)
(-.f64 #s(literal 6 binary64) z)
6
#s(literal 6 binary64)
(/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))
(/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))
2496092394504893/250000000000000000000
#s(literal 2496092394504893/250000000000000000000 binary64)
(/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))
(/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z))
3764081837873279/25000000000000000000000
#s(literal 3764081837873279/25000000000000000000000 binary64)
(+ (- (- 1 z) 1) 8)
(-.f64 #s(literal 8 binary64) z)
8
#s(literal 8 binary64)

localize1.7s (1.1%)

Memory

10.3MiB live, 2 120.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.5%	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 #s(literal 15/2 binary64))))
✓	accuracy	98.4%	(sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))
✓	accuracy	95.7%	(+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64))))
✓	accuracy	9.1%	(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
✓	accuracy	98.4%	(sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))
✓	accuracy	97.2%	(/.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)))) (exp.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64))))
✓	accuracy	95.7%	(+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64))))
✓	accuracy	9.1%	(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
✓	accuracy	98.5%	(+.f64 (+.f64 (+.f64 #s(literal 479507597606835099/10000000000000000 binary64) (*.f64 z #s(literal 904338909853211/2500000000000 binary64))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64))))
✓	accuracy	98.4%	(sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))
✓	accuracy	97.2%	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)))))
✓	accuracy	9.1%	(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
✓	accuracy	98.5%	(+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64))))
✓	accuracy	98.4%	(sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))
✓	accuracy	97.2%	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)))))
✓	accuracy	9.1%	(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
✓	accuracy	98.4%	(log.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))
✓	accuracy	97.0%	(exp.f64 (+.f64 (+.f64 (.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)) (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)))) (.f64 (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 1/2 binary64))))
✓	accuracy	95.7%	(+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64))))
✓	accuracy	9.1%	(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))

Samples

369.0ms	170×	1	valid
191.0ms	67×	2	valid
18.0ms	19×	0	valid

Compiler

Compiled 3 949 to 109 computations (97.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 403.0ms

ival-add: 108.0ms (26.8% of total)

ival-mult: 60.0ms (14.9% of total)

const: 55.0ms (13.6% of total)

adjust: 45.0ms (11.2% of total)

ival-div: 33.0ms (8.2% of total)

ival-exp: 28.0ms (6.9% of total)

ival-pow: 21.0ms (5.2% of total)

ival-log: 21.0ms (5.2% of total)

ival-sub: 8.0ms (2% of total)

ival-sqrt: 8.0ms (2% of total)

ival-sin: 6.0ms (1.5% of total)

ival-neg: 4.0ms (1% of total)

ival-pi: 3.0ms (0.7% of total)

exact: 3.0ms (0.7% of total)

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

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

series16.0ms (0%)

Memory

-8.1MiB live, 31.0MiB allocated

Counts

18 → 180

Calls

Call 1

Inputs
#<alt (exp (+ (+ (* (+ (- 1 z) -1/2) (log (+ (- 1 z) 13/2))) (- 0 (+ (- 1 z) 13/2))) (* (log (* 2 (PI))) 1/2)))>
#<alt (+ (- 1 z) -1/2)>
#<alt (+ (- 1 z) 13/2)>
#<alt (- 0 (+ (- 1 z) 13/2))>
#<alt (+ (+ (- (- 1 z) 1) 7) 1/2)>
#<alt (+ (- (- 1 z) 1) 7)>
#<alt (- (- 1 z) 1)>
#<alt (+ (- (- 1 z) 1) 1/2)>
#<alt (+ (- (- 1 z) 1) 1)>
#<alt (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2)))>
#<alt (log (* 2 (PI)))>
#<alt (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2))))>
#<alt (sqrt (* (PI) 2))>
#<alt (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6)))>
#<alt (+ (+ (+ 479507597606835099/10000000000000000 (* z 904338909853211/2500000000000)) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4)))>
#<alt (/ (* (sqrt (* 2 (PI))) (pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2))) (exp (+ (- 1 z) 13/2)))>
#<alt (sqrt (* 2 (PI)))>
#<alt (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg 15/2)))>

Outputs
#<alt (exp (- (+ (* 1/2 (log 15/2)) (* 1/2 (log (* 2 (PI))))) 15/2))>
#<alt (+ (exp (- (+ (* 1/2 (log 15/2)) (* 1/2 (log (* 2 (PI))))) 15/2)) (* z (* (exp (- (+ (* 1/2 (log 15/2)) (* 1/2 (log (* 2 (PI))))) 15/2)) (+ 14/15 (* -1 (log 15/2))))))>
#<alt (+ (exp (- (+ (* 1/2 (log 15/2)) (* 1/2 (log (* 2 (PI))))) 15/2)) (* z (+ (* z (* (exp (- (+ (* 1/2 (log 15/2)) (* 1/2 (log (* 2 (PI))))) 15/2)) (+ 29/225 (* 1/2 (pow (+ 14/15 (* -1 (log 15/2))) 2))))) (* (exp (- (+ (* 1/2 (log 15/2)) (* 1/2 (log (* 2 (PI))))) 15/2)) (+ 14/15 (* -1 (log 15/2)))))))>
#<alt (+ (exp (- (+ (* 1/2 (log 15/2)) (* 1/2 (log (* 2 (PI))))) 15/2)) (* z (+ (* z (+ (* z (* (exp (- (+ (* 1/2 (log 15/2)) (* 1/2 (log (* 2 (PI))))) 15/2)) (+ 86/10125 (+ (* 29/225 (+ 14/15 (* -1 (log 15/2)))) (* 1/6 (pow (+ 14/15 (* -1 (log 15/2))) 3)))))) (* (exp (- (+ (* 1/2 (log 15/2)) (* 1/2 (log (* 2 (PI))))) 15/2)) (+ 29/225 (* 1/2 (pow (+ 14/15 (* -1 (log 15/2))) 2)))))) (* (exp (- (+ (* 1/2 (log 15/2)) (* 1/2 (log (* 2 (PI))))) 15/2)) (+ 14/15 (* -1 (log 15/2)))))))>
#<alt (exp (- (+ z (+ (* 1/2 (log (* 2 (PI)))) (* (log (- 15/2 z)) (- 1/2 z)))) 15/2))>
#<alt (exp (- (+ z (+ (* 1/2 (log (* 2 (PI)))) (* (log (- 15/2 z)) (- 1/2 z)))) 15/2))>
#<alt (exp (- (+ z (+ (* 1/2 (log (* 2 (PI)))) (* (log (- 15/2 z)) (- 1/2 z)))) 15/2))>
#<alt (exp (- (+ z (+ (* 1/2 (log (* 2 (PI)))) (* (log (- 15/2 z)) (- 1/2 z)))) 15/2))>
#<alt (exp (- (+ (* 1/2 (log (* 2 (PI)))) (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (+ 15/2 (* -1 z))))>
#<alt (exp (- (+ (* 1/2 (log (* 2 (PI)))) (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (+ 15/2 (* -1 z))))>
#<alt (exp (- (+ (* 1/2 (log (* 2 (PI)))) (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (+ 15/2 (* -1 z))))>
#<alt (exp (- (+ (* 1/2 (log (* 2 (PI)))) (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (+ 15/2 (* -1 z))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1 z))>
#<alt (+ 1/2 (* -1 z))>
#<alt (+ 1/2 (* -1 z))>
#<alt (* -1 z)>
#<alt (* z (- (* 1/2 (/ 1 z)) 1))>
#<alt (* z (- (* 1/2 (/ 1 z)) 1))>
#<alt (* z (- (* 1/2 (/ 1 z)) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (- 1 (* 1/2 (/ 1 z)))))>
#<alt (* -1 (* z (- 1 (* 1/2 (/ 1 z)))))>
#<alt (* -1 (* z (- 1 (* 1/2 (/ 1 z)))))>
#<alt 15/2>
#<alt (+ 15/2 (* -1 z))>
#<alt (+ 15/2 (* -1 z))>
#<alt (+ 15/2 (* -1 z))>
#<alt (* -1 z)>
#<alt (* z (- (* 15/2 (/ 1 z)) 1))>
#<alt (* z (- (* 15/2 (/ 1 z)) 1))>
#<alt (* z (- (* 15/2 (/ 1 z)) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (- 1 (* 15/2 (/ 1 z)))))>
#<alt (* -1 (* z (- 1 (* 15/2 (/ 1 z)))))>
#<alt (* -1 (* z (- 1 (* 15/2 (/ 1 z)))))>
#<alt -15/2>
#<alt (- z 15/2)>
#<alt (- z 15/2)>
#<alt (- z 15/2)>
#<alt z>
#<alt (* z (- 1 (* 15/2 (/ 1 z))))>
#<alt (* z (- 1 (* 15/2 (/ 1 z))))>
#<alt (* z (- 1 (* 15/2 (/ 1 z))))>
#<alt z>
#<alt (* -1 (* z (- (* 15/2 (/ 1 z)) 1)))>
#<alt (* -1 (* z (- (* 15/2 (/ 1 z)) 1)))>
#<alt (* -1 (* z (- (* 15/2 (/ 1 z)) 1)))>
#<alt 15/2>
#<alt (+ 15/2 (* -1 z))>
#<alt (+ 15/2 (* -1 z))>
#<alt (+ 15/2 (* -1 z))>
#<alt (* -1 z)>
#<alt (* z (- (* 15/2 (/ 1 z)) 1))>
#<alt (* z (- (* 15/2 (/ 1 z)) 1))>
#<alt (* z (- (* 15/2 (/ 1 z)) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (- 1 (* 15/2 (/ 1 z)))))>
#<alt (* -1 (* z (- 1 (* 15/2 (/ 1 z)))))>
#<alt (* -1 (* z (- 1 (* 15/2 (/ 1 z)))))>
#<alt 7>
#<alt (+ 7 (* -1 z))>
#<alt (+ 7 (* -1 z))>
#<alt (+ 7 (* -1 z))>
#<alt (* -1 z)>
#<alt (* z (- (* 7 (/ 1 z)) 1))>
#<alt (* z (- (* 7 (/ 1 z)) 1))>
#<alt (* z (- (* 7 (/ 1 z)) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (- 1 (* 7 (/ 1 z)))))>
#<alt (* -1 (* z (- 1 (* 7 (/ 1 z)))))>
#<alt (* -1 (* z (- 1 (* 7 (/ 1 z)))))>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt 1/2>
#<alt (+ 1/2 (* -1 z))>
#<alt (+ 1/2 (* -1 z))>
#<alt (+ 1/2 (* -1 z))>
#<alt (* -1 z)>
#<alt (* z (- (* 1/2 (/ 1 z)) 1))>
#<alt (* z (- (* 1/2 (/ 1 z)) 1))>
#<alt (* z (- (* 1/2 (/ 1 z)) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (- 1 (* 1/2 (/ 1 z)))))>
#<alt (* -1 (* z (- 1 (* 1/2 (/ 1 z)))))>
#<alt (* -1 (* z (- 1 (* 1/2 (/ 1 z)))))>
#<alt 1>
#<alt (+ 1 (* -1 z))>
#<alt (+ 1 (* -1 z))>
#<alt (+ 1 (* -1 z))>
#<alt (* -1 z)>
#<alt (* z (- (/ 1 z) 1))>
#<alt (* z (- (/ 1 z) 1))>
#<alt (* z (- (/ 1 z) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (- 1 (/ 1 z))))>
#<alt (* -1 (* z (- 1 (/ 1 z))))>
#<alt (* -1 (* z (- 1 (/ 1 z))))>
#<alt 479507597606835099/10000000000000000>
#<alt (+ 479507597606835099/10000000000000000 (* 904338909853211/2500000000000 z))>
#<alt (+ 479507597606835099/10000000000000000 (* z (+ 904338909853211/2500000000000 (* 2076511864126339/4000000000000 z))))>
#<alt (+ 479507597606835099/10000000000000000 (* z (+ 904338909853211/2500000000000 (* z (+ 2076511864126339/4000000000000 (* 23912966683069397/40000000000000 z))))))>
#<alt 9999999999998099/10000000000000000>
#<alt (+ 9999999999998099/10000000000000000 (* 5826188486005177/10000000000000 (/ 1 z)))>
#<alt (+ 9999999999998099/10000000000000000 (+ (* 5826188486005177/10000000000000 (/ 1 z)) (/ 3683516130645841/2000000000000 (pow z 2))))>
#<alt (+ 9999999999998099/10000000000000000 (+ (* 5826188486005177/10000000000000 (/ 1 z)) (+ (* 43600364987677261/10000000000000 (/ 1 (pow z 3))) (/ 3683516130645841/2000000000000 (pow z 2)))))>
#<alt 9999999999998099/10000000000000000>
#<alt (+ 9999999999998099/10000000000000000 (* 5826188486005177/10000000000000 (/ 1 z)))>
#<alt (+ 9999999999998099/10000000000000000 (+ (* 5826188486005177/10000000000000 (/ 1 z)) (/ 3683516130645841/2000000000000 (pow z 2))))>
#<alt (+ 9999999999998099/10000000000000000 (* -1 (/ (- (* -1 (/ (+ 3683516130645841/2000000000000 (* 43600364987677261/10000000000000 (/ 1 z))) z)) 5826188486005177/10000000000000) z)))>
#<alt (* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))))>
#<alt (+ (* (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))))>
#<alt (+ (* 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)))))>
#<alt (+ (* 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)))))>
#<alt (* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))))>
#<alt (* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))))>
#<alt (* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))))>
#<alt (* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))))>
#<alt (* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))>
#<alt (* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))>
#<alt (* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))>
#<alt (* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))>
#<alt 8116215966570329533/37500000000000000>
#<alt (+ 8116215966570329533/37500000000000000 (* 22548182522681995609/300000000000000000 z))>
#<alt (+ 8116215966570329533/37500000000000000 (* z (+ 22548182522681995609/300000000000000000 (* 17487455702779079771/675000000000000000 z))))>
#<alt (+ 8116215966570329533/37500000000000000 (* z (+ 22548182522681995609/300000000000000000 (* z (+ 17487455702779079771/675000000000000000 (* 956071494269711021549/108000000000000000000 z))))))>
#<alt 9999999999998099/10000000000000000>
#<alt (- 9999999999998099/10000000000000000 (* 7588464647486671061/12500000000000000 (/ 1 z)))>
#<alt (+ 9999999999998099/10000000000000000 (* -1 (/ (+ 7588464647486671061/12500000000000000 (* 41730386487655927607/25000000000000000 (/ 1 z))) z)))>
#<alt (- (+ 9999999999998099/10000000000000000 (* -1 (/ (+ 41730386487655927607/25000000000000000 (* 110594135373555875017/25000000000000000 (/ 1 z))) (pow z 2)))) (* 7588464647486671061/12500000000000000 (/ 1 z)))>
#<alt 9999999999998099/10000000000000000>
#<alt (- 9999999999998099/10000000000000000 (* 7588464647486671061/12500000000000000 (/ 1 z)))>
#<alt (+ 9999999999998099/10000000000000000 (* -1 (/ (+ 7588464647486671061/12500000000000000 (* 41730386487655927607/25000000000000000 (/ 1 z))) z)))>
#<alt (+ 9999999999998099/10000000000000000 (* -1 (/ (+ 7588464647486671061/12500000000000000 (+ (* 41730386487655927607/25000000000000000 (/ 1 z)) (/ 110594135373555875017/25000000000000000 (pow z 2)))) z)))>
#<alt 7827144361880981797/30000000000000000>
#<alt (+ 7827144361880981797/30000000000000000 (* 314207804027640689/720000000000000 z))>
#<alt (+ 7827144361880981797/30000000000000000 (* z (+ 314207804027640689/720000000000000 (* 222980468271960011/8640000000000000 z))))>
#<alt (+ 7827144361880981797/30000000000000000 (* z (+ 314207804027640689/720000000000000 (* z (+ 222980468271960011/8640000000000000 (* 36630596080989161/4147200000000000 z))))))>
#<alt (* 904338909853211/2500000000000 z)>
#<alt (* z (+ 904338909853211/2500000000000 (* 479507597606835099/10000000000000000 (/ 1 z))))>
#<alt (* z (- (+ 904338909853211/2500000000000 (* 479507597606835099/10000000000000000 (/ 1 z))) (/ 47576671969241/80000000000 (pow z 2))))>
#<alt (* z (+ 904338909853211/2500000000000 (+ (* -1 (/ (+ 47576671969241/80000000000 (* 16075101696843969/10000000000000 (/ 1 z))) (pow z 2))) (* 479507597606835099/10000000000000000 (/ 1 z)))))>
#<alt (* 904338909853211/2500000000000 z)>
#<alt (* z (+ 904338909853211/2500000000000 (* 479507597606835099/10000000000000000 (/ 1 z))))>
#<alt (* -1 (* z (- (* -1 (/ (- 479507597606835099/10000000000000000 (* 47576671969241/80000000000 (/ 1 z))) z)) 904338909853211/2500000000000)))>
#<alt (* -1 (* z (- (* -1 (/ (+ 479507597606835099/10000000000000000 (* -1 (/ (+ 47576671969241/80000000000 (* 16075101696843969/10000000000000 (/ 1 z))) z))) z)) 904338909853211/2500000000000)))>
#<alt (* (sqrt (PI)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))>
#<alt (+ (* (sqrt (PI)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2))) (* (* z (- (/ (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (exp 15/2)) (* -1 (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2))))) (sqrt (PI))))>
#<alt (+ (* z (+ (* (sqrt (PI)) (- (/ (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (exp 15/2)) (* -1 (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2))))) (* (* z (- (/ (* (sqrt 2) (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (exp 15/2)) (+ (* -1 (- (/ (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (exp 15/2)) (* -1 (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2))))) (* 1/2 (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))))) (sqrt (PI))))) (* (sqrt (PI)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2))))>
#<alt (+ (* z (+ (* z (+ (* (sqrt (PI)) (- (/ (* (sqrt 2) (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (exp 15/2)) (+ (* -1 (- (/ (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (exp 15/2)) (* -1 (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2))))) (* 1/2 (/ (* (sqrt 2) (sqrt 15/2)) (exp 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)))))) (exp 15/2)) (+ (* -1 (- (/ (* (sqrt 2) (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (exp 15/2)) (+ (* -1 (- (/ (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (exp 15/2)) (* -1 (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2))))) (* 1/2 (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))))) (+ (* -1/6 (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2))) (* 1/2 (- (/ (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (exp 15/2)) (* -1 (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2))))))))) (sqrt (PI))))) (* (sqrt (PI)) (- (/ (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (exp 15/2)) (* -1 (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2))))))) (* (sqrt (PI)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2))))>
#<alt (* (sqrt (PI)) (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (exp (- 15/2 z))))>
#<alt (* (sqrt (PI)) (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (exp (- 15/2 z))))>
#<alt (* (sqrt (PI)) (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (exp (- 15/2 z))))>
#<alt (* (sqrt (PI)) (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (exp (- 15/2 z))))>
#<alt (* (sqrt (PI)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (exp (+ 15/2 (* -1 z)))))>
#<alt (* (sqrt (PI)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (exp (+ 15/2 (* -1 z)))))>
#<alt (* (sqrt (PI)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (exp (+ 15/2 (* -1 z)))))>
#<alt (* (sqrt (PI)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (exp (+ 15/2 (* -1 z)))))>
#<alt (* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))))>
#<alt (+ (* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))) (* (* z (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))))) (sqrt (PI))))>
#<alt (+ (* z (+ (* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))))) (* (* z (* (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)))))>
#<alt (+ (* z (+ (* z (+ (* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))))) (* (* z (* (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)))))))) (sqrt (PI))))) (* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))))))) (* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))))>
#<alt (* (sqrt (PI)) (* (exp -15/2) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2))))>
#<alt (* (sqrt (PI)) (* (exp -15/2) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2))))>
#<alt (* (sqrt (PI)) (* (exp -15/2) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2))))>
#<alt (* (sqrt (PI)) (* (exp -15/2) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2))))>
#<alt (* (sqrt (PI)) (* (exp -15/2) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))>
#<alt (* (sqrt (PI)) (* (exp -15/2) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))>
#<alt (* (sqrt (PI)) (* (exp -15/2) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))>
#<alt (* (sqrt (PI)) (* (exp -15/2) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))>

Calls

45 calls:

Time	Variable		Point	Expression
2.0ms	z	@	inf	(* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2))))
1.0ms	z	@	0	(/ (* (sqrt (* 2 (PI))) (pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2))) (exp (+ (- 1 z) 13/2)))
1.0ms	z	@	inf	(exp (+ (+ (* (+ (- 1 z) -1/2) (log (+ (- 1 z) 13/2))) (- 0 (+ (- 1 z) 13/2))) (* (log (* 2 (PI))) 1/2)))
1.0ms	z	@	0	(exp (+ (+ (* (+ (- 1 z) -1/2) (log (+ (- 1 z) 13/2))) (- 0 (+ (- 1 z) 13/2))) (* (log (* 2 (PI))) 1/2)))
1.0ms	z	@	inf	(/ (* (sqrt (* 2 (PI))) (pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2))) (exp (+ (- 1 z) 13/2)))

rewrite400.0ms (0.3%)

Memory

13.5MiB live, 798.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 700×	`-lowering-.f32`
3 700×	`-lowering-.f64`
2 970×	`accelerator-lowering-fma.f32`
2 970×	`accelerator-lowering-fma.f64`
2 872×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	226
1	566	176
2	6168	176
0	8018	175

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 733

Calls

Call 1

Inputs
(exp (+ (+ (* (+ (- 1 z) -1/2) (log (+ (- 1 z) 13/2))) (- 0 (+ (- 1 z) 13/2))) (* (log (* 2 (PI))) 1/2)))
(+ (- 1 z) -1/2)
(+ (- 1 z) 13/2)
(- 0 (+ (- 1 z) 13/2))
(+ (+ (- (- 1 z) 1) 7) 1/2)
(+ (- (- 1 z) 1) 7)
(- (- 1 z) 1)
(+ (- (- 1 z) 1) 1/2)
(+ (- (- 1 z) 1) 1)
(+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2)))
(log (* 2 (PI)))
(* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2))))
(sqrt (* (PI) 2))
(+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6)))
(+ (+ (+ 479507597606835099/10000000000000000 (* z 904338909853211/2500000000000)) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4)))
(/ (* (sqrt (* 2 (PI))) (pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2))) (exp (+ (- 1 z) 13/2)))
(sqrt (* 2 (PI)))
(* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg 15/2)))

Outputs
(exp.f64 (+.f64 (-.f64 (.f64 (-.f64 #s(literal 1/2 binary64) z) (log.f64 (-.f64 #s(literal 15/2 binary64) z))) (-.f64 #s(literal 15/2 binary64) z)) (.f64 (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 1/2 binary64))))
(exp.f64 (.f64 (log.f64 (/.f64 (exp.f64 (-.f64 #s(literal 15/2 binary64) z)) (.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (-.f64 #s(literal 0 binary64) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (-.f64 #s(literal 15/2 binary64) z)) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (exp.f64 (-.f64 #s(literal 15/2 binary64) z)) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))) #s(literal 1 binary64)))
(/.f64 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))) (-.f64 #s(literal 0 binary64) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (exp.f64 (-.f64 #s(literal 15/2 binary64) z)) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))))) (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))))
(/.f64 (.f64 (.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))
(/.f64 (/.f64 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 1 binary64) z))) (exp.f64 #s(literal 13/2 binary64)))
(pow.f64 (/.f64 (exp.f64 (-.f64 #s(literal 15/2 binary64) z)) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (exp.f64 (-.f64 #s(literal 15/2 binary64) z)) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))))
(.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 15/2 binary64) z))) (.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))))
(.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (exp.f64 (+.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 15/2 binary64) z)) (.f64 (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 1/2 binary64)))))
(.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 15/2 binary64) z)))))
(.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64)) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))))
(.f64 (.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 15/2 binary64) z))))
(.f64 (/.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (pow.f64 (.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 (PI.f64)) (/.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))))
(.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64)) (exp.f64 (-.f64 #s(literal 1 binary64) z))) (/.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (exp.f64 #s(literal 13/2 binary64))))
(.f64 (/.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (exp.f64 (-.f64 #s(literal 1 binary64) z))) (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64)) (exp.f64 #s(literal 13/2 binary64))))
(.f64 (.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 15/2 binary64) z))) (pow.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))
(+.f64 #s(literal 1 binary64) (neg.f64 (+.f64 z #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) z) #s(literal -1/2 binary64)))
(+.f64 #s(literal 1 binary64) (-.f64 (-.f64 #s(literal 0 binary64) z) #s(literal 1/2 binary64)))
(+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64))
(+.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) z))
(+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))
(+.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) z))
(+.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(+.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (+.f64 z #s(literal 1/2 binary64)))
(-.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)))
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))
(-.f64 #s(literal 1/2 binary64) z)
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))))
(-.f64 (/.f64 (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3/2 binary64))) (/.f64 #s(literal 1/4 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3/2 binary64))))
(-.f64 #s(literal 3/2 binary64) (+.f64 #s(literal 1 binary64) z))
(-.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) #s(literal 1/2 binary64))
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(.f64 (+.f64 (.f64 (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))) (+.f64 #s(literal 479507597606835099/10000000000000000 binary64) (.f64 z #s(literal 904338909853211/2500000000000 binary64)))) (.f64 (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))) (+.f64 #s(literal 479507597606835099/10000000000000000 binary64) (.f64 z #s(literal 904338909853211/2500000000000 binary64)))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))) (+.f64 #s(literal 479507597606835099/10000000000000000 binary64) (.f64 z #s(literal 904338909853211/2500000000000 binary64)))))) (.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))) (/.f64 #s(literal 779821713148594364211109354209/25000000000000000000000000 binary64) (.f64 (+.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 (.f64 (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))) (+.f64 #s(literal 479507597606835099/10000000000000000 binary64) (.f64 z #s(literal 904338909853211/2500000000000 binary64)))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))) (+.f64 #s(literal 479507597606835099/10000000000000000 binary64) (.f64 z #s(literal 904338909853211/2500000000000 binary64))))) (.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 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 #s(literal 479507597606835099/10000000000000000 binary64) (*.f64 z #s(literal 904338909853211/2500000000000 binary64)))))))))
(.f64 (-.f64 (.f64 (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))) (+.f64 #s(literal 479507597606835099/10000000000000000 binary64) (.f64 z #s(literal 904338909853211/2500000000000 binary64)))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))) (+.f64 #s(literal 479507597606835099/10000000000000000 binary64) (.f64 z #s(literal 904338909853211/2500000000000 binary64))))) (/.f64 #s(literal 779821713148594364211109354209/25000000000000000000000000 binary64) (.f64 (+.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 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))) (-.f64 (+.f64 #s(literal 479507597606835099/10000000000000000 binary64) (.f64 z #s(literal 904338909853211/2500000000000 binary64))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)))))))
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(exp.f64 (.f64 (log.f64 (/.f64 (exp.f64 (-.f64 #s(literal 15/2 binary64) z)) (.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (-.f64 #s(literal 0 binary64) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (-.f64 #s(literal 15/2 binary64) z)) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (exp.f64 (-.f64 #s(literal 15/2 binary64) z)) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))) #s(literal 1 binary64)))
(/.f64 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))) (-.f64 #s(literal 0 binary64) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (exp.f64 (-.f64 #s(literal 15/2 binary64) z)) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))))) (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))))
(/.f64 (.f64 (.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))
(/.f64 (/.f64 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 1 binary64) z))) (exp.f64 #s(literal 13/2 binary64)))
(pow.f64 (/.f64 (exp.f64 (-.f64 #s(literal 15/2 binary64) z)) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (exp.f64 (-.f64 #s(literal 15/2 binary64) z)) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))))
(.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 15/2 binary64) z))) (.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))))
(.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (exp.f64 (+.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 15/2 binary64) z)) (.f64 (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 1/2 binary64)))))
(.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 15/2 binary64) z)))))
(.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64)) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))))
(.f64 (.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 15/2 binary64) z))))
(.f64 (/.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (pow.f64 (.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 (PI.f64)) (/.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))))
(.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64)) (exp.f64 (-.f64 #s(literal 1 binary64) z))) (/.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (exp.f64 #s(literal 13/2 binary64))))
(.f64 (/.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (exp.f64 (-.f64 #s(literal 1 binary64) z))) (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64)) (exp.f64 #s(literal 13/2 binary64))))
(.f64 (.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 15/2 binary64) z))) (pow.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (exp.f64 (log.f64 (.f64 #s(literal 2 binary64) (PI.f64))))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (exp.f64 #s(literal 1/2 binary64))) (log.f64 (.f64 #s(literal 2 binary64) (PI.f64)))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))
(pow.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (exp.f64 #s(literal -15/2 binary64))))
(.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64)) (exp.f64 #s(literal -15/2 binary64))))
(.f64 (.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 #s(literal -15/2 binary64)))
(.f64 (exp.f64 #s(literal -15/2 binary64)) (.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 (PI.f64)) (*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (exp.f64 #s(literal -15/2 binary64)))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (exp.f64 #s(literal -15/2 binary64)))))
(.f64 (.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (exp.f64 #s(literal -15/2 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64)))
(.f64 (.f64 (exp.f64 #s(literal -15/2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))

simplify792.0ms (0.5%)

Memory

-17.9MiB live, 917.8MiB allocated

Algorithm

1×	egg-herbie

Rules

10 258×	`accelerator-lowering-fma.f32`
10 258×	`accelerator-lowering-fma.f64`
7 394×	`-lowering-.f32`
7 394×	`-lowering-.f64`
4 852×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	342	2351
1	1076	2248
2	3221	2069
0	8163	1973

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

Calls

Call 1

Inputs
(exp (- (+ (* 1/2 (log 15/2)) (* 1/2 (log (* 2 (PI))))) 15/2))
(+ (exp (- (+ (* 1/2 (log 15/2)) (* 1/2 (log (* 2 (PI))))) 15/2)) (* z (* (exp (- (+ (* 1/2 (log 15/2)) (* 1/2 (log (* 2 (PI))))) 15/2)) (+ 14/15 (* -1 (log 15/2))))))
(+ (exp (- (+ (* 1/2 (log 15/2)) (* 1/2 (log (* 2 (PI))))) 15/2)) (* z (+ (* z (* (exp (- (+ (* 1/2 (log 15/2)) (* 1/2 (log (* 2 (PI))))) 15/2)) (+ 29/225 (* 1/2 (pow (+ 14/15 (* -1 (log 15/2))) 2))))) (* (exp (- (+ (* 1/2 (log 15/2)) (* 1/2 (log (* 2 (PI))))) 15/2)) (+ 14/15 (* -1 (log 15/2)))))))
(+ (exp (- (+ (* 1/2 (log 15/2)) (* 1/2 (log (* 2 (PI))))) 15/2)) (* z (+ (* z (+ (* z (* (exp (- (+ (* 1/2 (log 15/2)) (* 1/2 (log (* 2 (PI))))) 15/2)) (+ 86/10125 (+ (* 29/225 (+ 14/15 (* -1 (log 15/2)))) (* 1/6 (pow (+ 14/15 (* -1 (log 15/2))) 3)))))) (* (exp (- (+ (* 1/2 (log 15/2)) (* 1/2 (log (* 2 (PI))))) 15/2)) (+ 29/225 (* 1/2 (pow (+ 14/15 (* -1 (log 15/2))) 2)))))) (* (exp (- (+ (* 1/2 (log 15/2)) (* 1/2 (log (* 2 (PI))))) 15/2)) (+ 14/15 (* -1 (log 15/2)))))))
(exp (- (+ z (+ (* 1/2 (log (* 2 (PI)))) (* (log (- 15/2 z)) (- 1/2 z)))) 15/2))
(exp (- (+ z (+ (* 1/2 (log (* 2 (PI)))) (* (log (- 15/2 z)) (- 1/2 z)))) 15/2))
(exp (- (+ z (+ (* 1/2 (log (* 2 (PI)))) (* (log (- 15/2 z)) (- 1/2 z)))) 15/2))
(exp (- (+ z (+ (* 1/2 (log (* 2 (PI)))) (* (log (- 15/2 z)) (- 1/2 z)))) 15/2))
(exp (- (+ (* 1/2 (log (* 2 (PI)))) (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (+ 15/2 (* -1 z))))
(exp (- (+ (* 1/2 (log (* 2 (PI)))) (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (+ 15/2 (* -1 z))))
(exp (- (+ (* 1/2 (log (* 2 (PI)))) (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (+ 15/2 (* -1 z))))
(exp (- (+ (* 1/2 (log (* 2 (PI)))) (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (+ 15/2 (* -1 z))))
1/2
(+ 1/2 (* -1 z))
(+ 1/2 (* -1 z))
(+ 1/2 (* -1 z))
(* -1 z)
(* z (- (* 1/2 (/ 1 z)) 1))
(* z (- (* 1/2 (/ 1 z)) 1))
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479507597606835099/10000000000000000
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9999999999998099/10000000000000000
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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))))
(+ (* z (+ (* (sqrt (PI)) (+ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15)))))) (* (* z (+ (* 1/2 (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))) (+ (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2)))))) (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))))))) (sqrt (PI))))) (* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))))
(+ (* z (+ (* z (+ (* (sqrt (PI)) (+ (* 1/2 (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))) (+ (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2)))))) (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))))))) (* (* z (+ (* 1/6 (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))) (+ (* 1/2 (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))))) (+ (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (+ 86/10125 (+ (* 29/225 (- (* -1 (log 15/2)) 1/15)) (* 1/6 (pow (- (* -1 (log 15/2)) 1/15) 3))))))) (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2)))))))))) (sqrt (PI))))) (* (sqrt (PI)) (+ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15)))))))) (* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))))
(* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))))
(* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))))
(* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))))
(* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))))
(* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))
(* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))
(* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))
(* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))
8116215966570329533/37500000000000000
(+ 8116215966570329533/37500000000000000 (* 22548182522681995609/300000000000000000 z))
(+ 8116215966570329533/37500000000000000 (* z (+ 22548182522681995609/300000000000000000 (* 17487455702779079771/675000000000000000 z))))
(+ 8116215966570329533/37500000000000000 (* z (+ 22548182522681995609/300000000000000000 (* z (+ 17487455702779079771/675000000000000000 (* 956071494269711021549/108000000000000000000 z))))))
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(- (+ 9999999999998099/10000000000000000 (* -1 (/ (+ 41730386487655927607/25000000000000000 (* 110594135373555875017/25000000000000000 (/ 1 z))) (pow z 2)))) (* 7588464647486671061/12500000000000000 (/ 1 z)))
9999999999998099/10000000000000000
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7827144361880981797/30000000000000000
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(* 904338909853211/2500000000000 z)
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(* -1 (* z (- (* -1 (/ (- 479507597606835099/10000000000000000 (* 47576671969241/80000000000 (/ 1 z))) z)) 904338909853211/2500000000000)))
(* -1 (* z (- (* -1 (/ (+ 479507597606835099/10000000000000000 (* -1 (/ (+ 47576671969241/80000000000 (* 16075101696843969/10000000000000 (/ 1 z))) z))) z)) 904338909853211/2500000000000)))
(* (sqrt (PI)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))
(+ (* (sqrt (PI)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2))) (* (* z (- (/ (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (exp 15/2)) (* -1 (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2))))) (sqrt (PI))))
(+ (* z (+ (* (sqrt (PI)) (- (/ (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (exp 15/2)) (* -1 (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2))))) (* (* z (- (/ (* (sqrt 2) (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (exp 15/2)) (+ (* -1 (- (/ (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (exp 15/2)) (* -1 (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2))))) (* 1/2 (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))))) (sqrt (PI))))) (* (sqrt (PI)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2))))
(+ (* z (+ (* z (+ (* (sqrt (PI)) (- (/ (* (sqrt 2) (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (exp 15/2)) (+ (* -1 (- (/ (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (exp 15/2)) (* -1 (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2))))) (* 1/2 (/ (* (sqrt 2) (sqrt 15/2)) (exp 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)))))) (exp 15/2)) (+ (* -1 (- (/ (* (sqrt 2) (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (exp 15/2)) (+ (* -1 (- (/ (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (exp 15/2)) (* -1 (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2))))) (* 1/2 (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))))) (+ (* -1/6 (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2))) (* 1/2 (- (/ (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (exp 15/2)) (* -1 (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2))))))))) (sqrt (PI))))) (* (sqrt (PI)) (- (/ (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (exp 15/2)) (* -1 (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2))))))) (* (sqrt (PI)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2))))
(* (sqrt (PI)) (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (exp (- 15/2 z))))
(* (sqrt (PI)) (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (exp (- 15/2 z))))
(* (sqrt (PI)) (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (exp (- 15/2 z))))
(* (sqrt (PI)) (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (exp (- 15/2 z))))
(* (sqrt (PI)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (exp (+ 15/2 (* -1 z)))))
(* (sqrt (PI)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (exp (+ 15/2 (* -1 z)))))
(* (sqrt (PI)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (exp (+ 15/2 (* -1 z)))))
(* (sqrt (PI)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (exp (+ 15/2 (* -1 z)))))
(* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))))
(+ (* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))) (* (* z (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))))) (sqrt (PI))))
(+ (* z (+ (* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))))) (* (* z (* (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)))))
(+ (* z (+ (* z (+ (* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))))) (* (* z (* (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)))))))) (sqrt (PI))))) (* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))))))) (* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))))
(* (sqrt (PI)) (* (exp -15/2) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2))))
(* (sqrt (PI)) (* (exp -15/2) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2))))
(* (sqrt (PI)) (* (exp -15/2) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2))))
(* (sqrt (PI)) (* (exp -15/2) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2))))
(* (sqrt (PI)) (* (exp -15/2) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))
(* (sqrt (PI)) (* (exp -15/2) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))
(* (sqrt (PI)) (* (exp -15/2) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))
(* (sqrt (PI)) (* (exp -15/2) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))

Outputs
(exp (- (+ (* 1/2 (log 15/2)) (* 1/2 (log (* 2 (PI))))) 15/2))
(.f64 (pow.f64 #s(literal 15/2 binary64) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64)) (exp.f64 #s(literal 15/2 binary64))))
(+ (exp (- (+ (* 1/2 (log 15/2)) (* 1/2 (log (* 2 (PI))))) 15/2)) (* z (* (exp (- (+ (* 1/2 (log 15/2)) (* 1/2 (log (* 2 (PI))))) 15/2)) (+ 14/15 (* -1 (log 15/2))))))
(+.f64 (.f64 (pow.f64 #s(literal 15/2 binary64) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64)) (exp.f64 #s(literal 15/2 binary64)))) (.f64 (.f64 (pow.f64 #s(literal 15/2 binary64) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64)) (exp.f64 #s(literal 15/2 binary64)))) (.f64 (-.f64 #s(literal 14/15 binary64) (log.f64 #s(literal 15/2 binary64))) z)))
(+ (exp (- (+ (* 1/2 (log 15/2)) (* 1/2 (log (* 2 (PI))))) 15/2)) (* z (+ (* z (* (exp (- (+ (* 1/2 (log 15/2)) (* 1/2 (log (* 2 (PI))))) 15/2)) (+ 29/225 (* 1/2 (pow (+ 14/15 (* -1 (log 15/2))) 2))))) (* (exp (- (+ (* 1/2 (log 15/2)) (* 1/2 (log (* 2 (PI))))) 15/2)) (+ 14/15 (* -1 (log 15/2)))))))
(+.f64 (.f64 (pow.f64 #s(literal 15/2 binary64) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64)) (exp.f64 #s(literal 15/2 binary64)))) (.f64 z (.f64 (.f64 (pow.f64 #s(literal 15/2 binary64) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64)) (exp.f64 #s(literal 15/2 binary64)))) (+.f64 (-.f64 #s(literal 14/15 binary64) (log.f64 #s(literal 15/2 binary64))) (.f64 z (+.f64 #s(literal 29/225 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 #s(literal 14/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 2 binary64)))))))))
(+ (exp (- (+ (* 1/2 (log 15/2)) (* 1/2 (log (* 2 (PI))))) 15/2)) (* z (+ (* z (+ (* z (* (exp (- (+ (* 1/2 (log 15/2)) (* 1/2 (log (* 2 (PI))))) 15/2)) (+ 86/10125 (+ (* 29/225 (+ 14/15 (* -1 (log 15/2)))) (* 1/6 (pow (+ 14/15 (* -1 (log 15/2))) 3)))))) (* (exp (- (+ (* 1/2 (log 15/2)) (* 1/2 (log (* 2 (PI))))) 15/2)) (+ 29/225 (* 1/2 (pow (+ 14/15 (* -1 (log 15/2))) 2)))))) (* (exp (- (+ (* 1/2 (log 15/2)) (* 1/2 (log (* 2 (PI))))) 15/2)) (+ 14/15 (* -1 (log 15/2)))))))
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(exp (- (+ z (+ (* 1/2 (log (* 2 (PI)))) (* (log (- 15/2 z)) (- 1/2 z)))) 15/2))
(/.f64 (.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (pow.f64 (.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))
(exp (- (+ z (+ (* 1/2 (log (* 2 (PI)))) (* (log (- 15/2 z)) (- 1/2 z)))) 15/2))
(/.f64 (.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (pow.f64 (.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))
(exp (- (+ z (+ (* 1/2 (log (* 2 (PI)))) (* (log (- 15/2 z)) (- 1/2 z)))) 15/2))
(/.f64 (.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (pow.f64 (.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))
(exp (- (+ z (+ (* 1/2 (log (* 2 (PI)))) (* (log (- 15/2 z)) (- 1/2 z)))) 15/2))
(/.f64 (.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (pow.f64 (.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))
(exp (- (+ (* 1/2 (log (* 2 (PI)))) (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (+ 15/2 (* -1 z))))
(/.f64 (.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (pow.f64 (.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))
(exp (- (+ (* 1/2 (log (* 2 (PI)))) (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (+ 15/2 (* -1 z))))
(/.f64 (.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (pow.f64 (.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))
(exp (- (+ (* 1/2 (log (* 2 (PI)))) (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (+ 15/2 (* -1 z))))
(/.f64 (.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (pow.f64 (.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))
(exp (- (+ (* 1/2 (log (* 2 (PI)))) (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (+ 15/2 (* -1 z))))
(/.f64 (.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (pow.f64 (.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1 z))
(-.f64 #s(literal 1/2 binary64) z)
(+ 1/2 (* -1 z))
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(.f64 (sqrt.f64 (PI.f64)) (.f64 (exp.f64 #s(literal -15/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))))
(* (sqrt (PI)) (* (exp -15/2) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (exp.f64 #s(literal -15/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))))

eval1.3s (0.9%)

Memory: 27.1MiB live, 2 277.5MiB allocated
Compiler: Compiled 524 530 to 16 465 computations (96.9% saved)

prune615.0ms (0.4%)

Memory

36.3MiB live, 1 137.1MiB allocated

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	4 353	20	4 373
Fresh	7	0	7
Picked	5	0	5
Done	0	0	0
Total	4 365	20	4 385

Accuracy

99.6%

Counts

4 385 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	95.3%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (/.f64 (.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (pow.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
	95.0%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (/.f64 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 479507597606835099/10000000000000000 binary64) (.f64 z #s(literal 904338909853211/2500000000000 binary64))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
	95.3%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (/.f64 (.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)))) (exp.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z))) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
	96.0%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (/.f64 (.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)))) (exp.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)))) #s(literal 9999999999998099/10000000000000000 binary64)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
	95.3%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (/.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)))) (exp.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 z (.f64 z z))) (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1 binary64) z)))))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 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 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (/.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)))) (exp.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 479507597606835099/10000000000000000 binary64) (.f64 z (+.f64 #s(literal 904338909853211/2500000000000 binary64) (.f64 z (+.f64 #s(literal 2076511864126339/4000000000000 binary64) (.f64 z #s(literal 23912966683069397/40000000000000 binary64))))))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
	95.3%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (/.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)))) (exp.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 479507597606835099/10000000000000000 binary64) (.f64 z (+.f64 #s(literal 904338909853211/2500000000000 binary64) (*.f64 z #s(literal 2076511864126339/4000000000000 binary64))))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
	94.5%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (exp.f64 (+.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 15/2 binary64) z)) (.f64 (log.f64 (.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
	96.2%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (exp.f64 #s(literal -15/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 15/2 binary64))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 479507597606835099/10000000000000000 binary64) (*.f64 z #s(literal 904338909853211/2500000000000 binary64))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
	95.9%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.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 7827144361880981797/30000000000000000 binary64) (.f64 z (+.f64 #s(literal 314207804027640689/720000000000000 binary64) (.f64 z #s(literal 222980468271960011/8640000000000000 binary64))))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
	95.9%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.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 7827144361880981797/30000000000000000 binary64) (*.f64 z #s(literal 314207804027640689/720000000000000 binary64))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 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 (/.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 #s(literal 7827144361880981797/30000000000000000 binary64) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
	21.6%	(.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 #s(literal 8116215966570329533/37500000000000000 binary64) (*.f64 z #s(literal 22548182522681995609/300000000000000000 binary64))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
▶	21.6%	(.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 8116215966570329533/37500000000000000 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))))))
	95.4%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 #s(literal 15/2 binary64)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 479507597606835099/10000000000000000 binary64) (*.f64 z #s(literal 904338909853211/2500000000000 binary64))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
	95.6%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 #s(literal 15/2 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.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 479507597606835099/10000000000000000 binary64) (*.f64 z #s(literal 904338909853211/2500000000000 binary64))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
▶	21.6%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 #s(literal 15/2 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
▶	97.8%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 (+.f64 (-.f64 (.f64 (-.f64 #s(literal 1/2 binary64) z) (log.f64 (-.f64 #s(literal 15/2 binary64) z))) (-.f64 #s(literal 15/2 binary64) z)) (.f64 (log.f64 (.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 1/2 binary64)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
	94.3%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 (+.f64 (-.f64 (.f64 (-.f64 #s(literal 1/2 binary64) z) (log.f64 (-.f64 #s(literal 15/2 binary64) z))) (-.f64 #s(literal 15/2 binary64) z)) (.f64 (log.f64 (.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 1/2 binary64)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 479507597606835099/10000000000000000 binary64) (*.f64 z #s(literal 904338909853211/2500000000000 binary64))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
▶	23.2%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 (+.f64 (-.f64 (.f64 (-.f64 #s(literal 1/2 binary64) z) (log.f64 (-.f64 #s(literal 15/2 binary64) z))) (-.f64 #s(literal 15/2 binary64) z)) (.f64 (log.f64 (.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 1/2 binary64)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))

Compiler

Compiled 3 846 to 2 150 computations (44.1% saved)

simplify420.0ms (0.3%)

Memory

-4.7MiB live, 662.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
✓	cost-diff	128	(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64))
✓	cost-diff	128	(+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64))
✓	cost-diff	128	(+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64))
✓	cost-diff	128	(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64))
✓	cost-diff	128	(+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))
✓	cost-diff	128	(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
✓	cost-diff	128	(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64))
✓	cost-diff	128	(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64))
✓	cost-diff	128	(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
✓	cost-diff	128	(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64))
✓	cost-diff	192	(exp.f64 (+.f64 (-.f64 (.f64 (-.f64 #s(literal 1/2 binary64) z) (log.f64 (-.f64 #s(literal 15/2 binary64) z))) (-.f64 #s(literal 15/2 binary64) z)) (.f64 (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 1/2 binary64))))
✓	cost-diff	128	(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64))
✓	cost-diff	128	(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
✓	cost-diff	128	(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64))
✓	cost-diff	128	(+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))
✓	cost-diff	128	(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64))
✓	cost-diff	128	(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
✓	cost-diff	128	(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	cost-diff	192	(exp.f64 (+.f64 (-.f64 (.f64 (-.f64 #s(literal 1/2 binary64) z) (log.f64 (-.f64 #s(literal 15/2 binary64) z))) (-.f64 #s(literal 15/2 binary64) z)) (.f64 (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 1/2 binary64))))

Rules

7 898×	`accelerator-lowering-fma.f32`
7 898×	`accelerator-lowering-fma.f64`
6 602×	`-lowering-.f32`
6 602×	`-lowering-.f64`
6 050×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	116	2645
1	336	2507
2	1538	2063
0	8831	2024

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (/ (PI) (sin (* (PI) z))) (* (exp (+ (- (* (- 1/2 z) (log (- 15/2 z))) (- 15/2 z)) (* (log (* 2 (PI))) 1/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 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
(* (exp (+ (- (* (- 1/2 z) (log (- 15/2 z))) (- 15/2 z)) (* (log (* 2 (PI))) 1/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))
(exp (+ (- (* (- 1/2 z) (log (- 15/2 z))) (- 15/2 z)) (* (log (* 2 (PI))) 1/2)))
(+ (- (* (- 1/2 z) (log (- 15/2 z))) (- 15/2 z)) (* (log (* 2 (PI))) 1/2))
(- (* (- 1/2 z) (log (- 15/2 z))) (- 15/2 z))
(* (- 1/2 z) (log (- 15/2 z)))
(- 1/2 z)
1/2
(log (- 15/2 z))
(- 15/2 z)
15/2
(* (log (* 2 (PI))) 1/2)
(log (* 2 (PI)))
(* 2 (PI))
2
(+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 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)
(- (- 1 z) 1)
(- 1 z)
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
(+ (- (- 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)))) (+ (+ 8116215966570329533/37500000000000000 (/ 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)))) (+ (+ 8116215966570329533/37500000000000000 (/ 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))
(+ (+ 8116215966570329533/37500000000000000 (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))
(+ 8116215966570329533/37500000000000000 (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7)))
8116215966570329533/37500000000000000
(/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))
2496092394504893/250000000000000000000
(/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))
3764081837873279/25000000000000000000000
(+ (- (- 1 z) 1) 8)
8
(* (/ (PI) (sin (* (PI) z))) (* (exp (+ (- (* (- 1/2 z) (log (- 15/2 z))) (- 15/2 z)) (* (log (* 2 (PI))) 1/2))) (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 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
(* (exp (+ (- (* (- 1/2 z) (log (- 15/2 z))) (- 15/2 z)) (* (log (* 2 (PI))) 1/2))) (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))
(exp (+ (- (* (- 1/2 z) (log (- 15/2 z))) (- 15/2 z)) (* (log (* 2 (PI))) 1/2)))
(+ (- (* (- 1/2 z) (log (- 15/2 z))) (- 15/2 z)) (* (log (* 2 (PI))) 1/2))
(- (* (- 1/2 z) (log (- 15/2 z))) (- 15/2 z))
(* (- 1/2 z) (log (- 15/2 z)))
(- 1/2 z)
1/2
(log (- 15/2 z))
(- 15/2 z)
15/2
(* (log (* 2 (PI))) 1/2)
(log (* 2 (PI)))
(* 2 (PI))
2
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(+ (+ (+ 9999999999998099/10000000000000000 (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5)))
(+ (+ 9999999999998099/10000000000000000 (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4)))
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9999999999998099/10000000000000000
(/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))
7713234287776531/10000000000000
(+ (- (- 1 z) 1) 3)
(- (- 1 z) 1)
(- 1 z)
1
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
(+ (- (- 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 15/2 (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 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 15/2 (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 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 15/2 (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2))))
(* (sqrt (* (PI) 2)) (pow 15/2 (+ (- (- 1 z) 1) 1/2)))
(sqrt (* (PI) 2))
(* (PI) 2)
2
(pow 15/2 (+ (- (- 1 z) 1) 1/2))
15/2
(+ (- (- 1 z) 1) 1/2)
(- (- 1 z) 1)
(- 1 z)
1
1/2
(exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))
(neg (+ (+ (- (- 1 z) 1) 7) 1/2))
(+ (+ (- (- 1 z) 1) 7) 1/2)
(+ (- (- 1 z) 1) 7)
7
(+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 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 (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -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 (/ 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 (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5)))
(+ (+ 9999999999998099/10000000000000000 (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4)))
(+ 9999999999998099/10000000000000000 (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3)))
9999999999998099/10000000000000000
(/ 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
(* (/ (PI) (sin (* (PI) z))) (* (/ (* (sqrt (* 2 (PI))) (pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2))) (exp (+ (- 1 z) 13/2))) (+ (+ (+ (+ (+ (+ (+ 479507597606835099/10000000000000000 (* z (+ 904338909853211/2500000000000 (* z (+ 2076511864126339/4000000000000 (* z 23912966683069397/40000000000000)))))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 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 (* 2 (PI))) (pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2))) (exp (+ (- 1 z) 13/2))) (+ (+ (+ (+ (+ (+ (+ 479507597606835099/10000000000000000 (* z (+ 904338909853211/2500000000000 (* z (+ 2076511864126339/4000000000000 (* z 23912966683069397/40000000000000)))))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 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 (* 2 (PI))) (pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2))) (exp (+ (- 1 z) 13/2)))
(* (sqrt (* 2 (PI))) (pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2)))
(sqrt (* 2 (PI)))
(* 2 (PI))
2
(pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2))
(+ (- 1 z) 13/2)
(- 1 z)
1
13/2
(+ (- 1 z) -1/2)
-1/2
(exp (+ (- 1 z) 13/2))
(+ (+ (+ (+ (+ (+ (+ 479507597606835099/10000000000000000 (* z (+ 904338909853211/2500000000000 (* z (+ 2076511864126339/4000000000000 (* z 23912966683069397/40000000000000)))))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))
(+ (+ (+ (+ (+ (+ 479507597606835099/10000000000000000 (* z (+ 904338909853211/2500000000000 (* z (+ 2076511864126339/4000000000000 (* z 23912966683069397/40000000000000)))))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7)))
(+ (+ (+ (+ (+ 479507597606835099/10000000000000000 (* z (+ 904338909853211/2500000000000 (* z (+ 2076511864126339/4000000000000 (* z 23912966683069397/40000000000000)))))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6)))
(+ (+ (+ (+ 479507597606835099/10000000000000000 (* z (+ 904338909853211/2500000000000 (* z (+ 2076511864126339/4000000000000 (* z 23912966683069397/40000000000000)))))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5)))
(+ (+ (+ 479507597606835099/10000000000000000 (* z (+ 904338909853211/2500000000000 (* z (+ 2076511864126339/4000000000000 (* z 23912966683069397/40000000000000)))))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4)))
(+ (+ 479507597606835099/10000000000000000 (* z (+ 904338909853211/2500000000000 (* z (+ 2076511864126339/4000000000000 (* z 23912966683069397/40000000000000)))))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3)))
(+ 479507597606835099/10000000000000000 (* z (+ 904338909853211/2500000000000 (* z (+ 2076511864126339/4000000000000 (* z 23912966683069397/40000000000000))))))
479507597606835099/10000000000000000
(* z (+ 904338909853211/2500000000000 (* z (+ 2076511864126339/4000000000000 (* z 23912966683069397/40000000000000)))))
(+ 904338909853211/2500000000000 (* z (+ 2076511864126339/4000000000000 (* z 23912966683069397/40000000000000))))
904338909853211/2500000000000
(* z (+ 2076511864126339/4000000000000 (* z 23912966683069397/40000000000000)))
(+ 2076511864126339/4000000000000 (* z 23912966683069397/40000000000000))
2076511864126339/4000000000000
(* z 23912966683069397/40000000000000)
23912966683069397/40000000000000
(/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))
7713234287776531/10000000000000
(+ (- (- 1 z) 1) 3)
(- (- 1 z) 1)
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
(+ (- (- 1 z) 1) 7)
7
(/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))
3764081837873279/25000000000000000000000
(+ (- (- 1 z) 1) 8)
8

Outputs
(* (/ (PI) (sin (* (PI) z))) (* (exp (+ (- (* (- 1/2 z) (log (- 15/2 z))) (- 15/2 z)) (* (log (* 2 (PI))) 1/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 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 (PI.f64) #s(literal 2 binary64))) (/.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))) (.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (+.f64 (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)))))
(/ (PI) (sin (* (PI) z)))
(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
(PI)
(PI.f64)
(sin (* (PI) z))
(sin.f64 (*.f64 (PI.f64) z))
(* (PI) z)
(*.f64 (PI.f64) z)
z
(* (exp (+ (- (* (- 1/2 z) (log (- 15/2 z))) (- 15/2 z)) (* (log (* 2 (PI))) 1/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 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 (PI.f64) #s(literal 2 binary64))) (/.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (+.f64 (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z))))
(exp (+ (- (* (- 1/2 z) (log (- 15/2 z))) (- 15/2 z)) (* (log (* 2 (PI))) 1/2)))
(.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))))
(+ (- (* (- 1/2 z) (log (- 15/2 z))) (- 15/2 z)) (* (log (* 2 (PI))) 1/2))
(+.f64 (+.f64 (.f64 (log.f64 (-.f64 #s(literal 15/2 binary64) z)) (-.f64 #s(literal 1/2 binary64) z)) (+.f64 z #s(literal -15/2 binary64))) (.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))))
(- (* (- 1/2 z) (log (- 15/2 z))) (- 15/2 z))
(+.f64 (*.f64 (log.f64 (-.f64 #s(literal 15/2 binary64) z)) (-.f64 #s(literal 1/2 binary64) z)) (+.f64 z #s(literal -15/2 binary64)))
(* (- 1/2 z) (log (- 15/2 z)))
(*.f64 (log.f64 (-.f64 #s(literal 15/2 binary64) z)) (-.f64 #s(literal 1/2 binary64) z))
(- 1/2 z)
(-.f64 #s(literal 1/2 binary64) z)
1/2
#s(literal 1/2 binary64)
(log (- 15/2 z))
(log.f64 (-.f64 #s(literal 15/2 binary64) z))
(- 15/2 z)
(-.f64 #s(literal 15/2 binary64) z)
15/2
#s(literal 15/2 binary64)
(* (log (* 2 (PI))) 1/2)
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localize6.3s (4.2%)

Memory

-17.8MiB live, 846.2MiB allocated

Samples

197.0ms	71×	1	valid
171.0ms	37×	2	valid
25.0ms	6×	0	valid

Compiler

Compiled 3 146 to 118 computations (96.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 318.0ms

ival-add: 106.0ms (33.3% of total)

ival-pow: 62.0ms (19.5% of total)

const: 31.0ms (9.7% of total)

ival-mult: 30.0ms (9.4% of total)

ival-exp: 29.0ms (9.1% of total)

adjust: 23.0ms (7.2% of total)

ival-div: 16.0ms (5% of total)

ival-log: 7.0ms (2.2% of total)

ival-sub: 6.0ms (1.9% of total)

ival-sqrt: 3.0ms (0.9% of total)

ival-sin: 2.0ms (0.6% of total)

ival-pi: 1.0ms (0.3% of total)

exact: 1.0ms (0.3% of total)

ival-neg: 1.0ms (0.3% of total)

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

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

end0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze603.0ms (0.4%)

sample2.2min (88.6%)

preprocess322.0ms (0.2%)

explain1.8s (1.2%)

eval2.0ms (0%)

prune1.0ms (0%)

simplify348.0ms (0.2%)

localize465.0ms (0.3%)

series10.0ms (0%)

rewrite441.0ms (0.3%)

simplify582.0ms (0.4%)

eval371.0ms (0.2%)

prune259.0ms (0.2%)

simplify359.0ms (0.2%)

localize1.7s (1.1%)

series16.0ms (0%)

rewrite400.0ms (0.3%)

simplify792.0ms (0.5%)

eval1.3s (0.9%)

prune615.0ms (0.4%)

simplify420.0ms (0.3%)

localize6.3s (4.2%)

end0.0ms (0%)

Profiling