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

analyze659.0ms (0.4%)

Memory

17.9MiB live, 1 205.0MiB 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)

sample27.3s (17.7%)

Memory

147.9MiB live, 35 244.6MiB allocated

Samples

20.8s	3 684×	5	exit
4.3s	8 256×	0	valid
50.0ms	88×	0	exit

Precisions

Click to see histograms. Total time spent on operations: 24.1s

ival-sin: 16.8s (69.7% of total)

const: 2.0s (8.1% of total)

ival-mult: 1.4s (5.9% of total)

ival-add: 1.2s (4.9% of total)

ival-div: 1.0s (4.2% of total)

adjust: 423.0ms (1.8% of total)

ival-pow: 337.0ms (1.4% of total)

ival-sqrt: 264.0ms (1.1% of total)

ival-pi: 254.0ms (1.1% of total)

ival-sub: 141.0ms (0.6% of total)

ival-exp: 132.0ms (0.5% of total)

ival-neg: 79.0ms (0.3% of total)

exact: 57.0ms (0.2% of total)

ival-<=: 48.0ms (0.2% of total)

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

Bogosity

preprocess383.0ms (0.2%)

Memory

10.6MiB live, 527.0MiB 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 (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 z #s(literal -15/2 binary64))))) (*.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)))))

explain1.6s (1%)

Memory

66.2MiB live, 2 951.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
251	-	0	-	`(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))`
3	-	1	(-8.924819426676644)	`(sin.f64 (*.f64 (PI.f64) z))`
2	-	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	25	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**	2	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	2
↳	`(pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 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	2
↳	`(exp.f64 (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	2
`sin.f64`	`(sin.f64 (*.f64 (PI.f64) z))`	sensitivity	2	0

Confusion

	Predicted +	Predicted -
+	2	1
-	25	228

Precision

0.07407407407407407

Recall

0.6666666666666666

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	2	0	1
-	25	1	227

Precision?

0.07142857142857142

Recall?

0.6666666666666666

Freqs

test

number	freq
0	229
1	25
2	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

516.0ms	318×	1	valid
208.0ms	134×	2	valid
34.0ms	60×	0	valid

Compiler

Compiled 2 038 to 244 computations (88% saved)

Precisions

Click to see histograms. Total time spent on operations: 664.0ms

ival-div: 224.0ms (33.7% of total)

ival-add: 151.0ms (22.7% of total)

const: 113.0ms (17% of total)

adjust: 49.0ms (7.4% of total)

ival-mult: 34.0ms (5.1% of total)

ival-pow: 24.0ms (3.6% of total)

ival-sub: 21.0ms (3.2% of total)

ival-exp: 15.0ms (2.3% of total)

ival-pi: 10.0ms (1.5% of total)

ival-sqrt: 7.0ms (1.1% of total)

ival-sin: 7.0ms (1.1% of total)

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

exact: 3.0ms (0.5% of total)

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

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

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

3.1MiB live, 3.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.6%	(.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 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))

Status

Accuracy

Program

▶

96.6%

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

simplify321.0ms (0.2%)

Memory

9.6MiB live, 670.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	192	(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64))
✓	cost-diff	192	(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
✓	cost-diff	192	(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64))
✓	cost-diff	192	(+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))

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 (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 z #s(literal -15/2 binary64))))) (.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 (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 z #s(literal -15/2 binary64))))) (+.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 (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 z #s(literal -15/2 binary64)))))
(* (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)

localize507.0ms (0.3%)

Memory

2.9MiB live, 978.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.4%	(sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))
✓	accuracy	97.9%	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (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	10.4%	(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))

Samples

167.0ms	159×	1	valid
119.0ms	67×	2	valid
19.0ms	30×	0	valid

Compiler

Compiled 895 to 62 computations (93.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 251.0ms

const: 60.0ms (23.9% of total)

ival-add: 47.0ms (18.7% of total)

ival-div: 34.0ms (13.5% of total)

ival-sin: 31.0ms (12.3% of total)

adjust: 25.0ms (10% of total)

ival-mult: 19.0ms (7.6% of total)

ival-pow: 13.0ms (5.2% of total)

ival-exp: 6.0ms (2.4% of total)

ival-sub: 5.0ms (2% of total)

ival-sqrt: 3.0ms (1.2% of total)

ival-pi: 2.0ms (0.8% of total)

ival-neg: 2.0ms (0.8% of total)

exact: 1.0ms (0.4% of total)

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

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

series25.0ms (0%)

Memory

-25.5MiB live, 22.2MiB 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
18.0ms	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)))

rewrite452.0ms (0.3%)

Memory

34.6MiB live, 778.8MiB 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 (fma.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) #s(literal 1/4 binary64)) (.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) #s(literal 1/2 binary64)))) #s(literal 7 binary64))
(fma.f64 (fma.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) #s(literal 343 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) #s(literal 49 binary64)) (.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) #s(literal 7 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (fma.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))) #s(literal 13/2 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))) #s(literal 13/2 binary64))
(fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) z))) #s(literal 15/2 binary64))
(fma.f64 (fma.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3/2 binary64))) #s(literal 7 binary64))
(fma.f64 (fma.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) #s(literal -49 binary64)) (/.f64 #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 (fma.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z))) #s(literal 15/2 binary64))
(fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (fma.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) #s(literal 4 binary64)) (.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) #s(literal 2 binary64))))) #s(literal 15/2 binary64))
(fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (fma.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64)))) #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)) (fma.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) #s(literal 8 binary64))) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) #s(literal 4 binary64)) (.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) #s(literal 2 binary64))))) #s(literal 15/2 binary64))
(fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)) (fma.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) #s(literal -4 binary64))) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64)))) #s(literal 15/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.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 8 binary64) (+.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64))) (fma.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))) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -11/2 binary64)) (fma.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 (fma.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))) #s(literal 1/8 binary64)) (-.f64 (fma.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 8 binary64) (+.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64))))
(/.f64 (fma.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))) #s(literal 1/8 binary64)) (+.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 (fma.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 8 binary64) (+.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64))) (fma.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))) #s(literal 1/8 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -11/2 binary64)) (fma.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 (fma.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 (fma.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))) #s(literal 1/8 binary64))) (neg.f64 (-.f64 (fma.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 8 binary64) (+.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (fma.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))) #s(literal 1/8 binary64))) (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 (fma.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 (fma.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) #s(literal 3375/8 binary64)) (fma.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (-.f64 #s(literal 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 (/.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 -1/2 binary64)) #s(literal 1/2 binary64))) (exp.f64 (-.f64 #s(literal 8 binary64) (+.f64 #s(literal 1 binary64) z)))) (/.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 -1/2 binary64)) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))) (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 -1/2 binary64)) #s(literal 1/2 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 -1/2 binary64)) #s(literal 1/2 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 (sqrt.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 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 (sqrt.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 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 (sqrt.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 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 -1/2 binary64)) #s(literal 1/2 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 -1/2 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 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)) #s(literal 1/2 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 -1/2 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 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)) #s(literal 1/2 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 -1/2 binary64)) #s(literal 1/2 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 (sqrt.f64 (sqrt.f64 (PI.f64))) (pow.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 1/2 binary64)) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) (sqrt.f64 (sqrt.f64 (PI.f64))))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))

simplify450.0ms (0.3%)

Memory

-10.8MiB live, 819.7MiB 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))
(fma.f64 z #s(literal 904338909853211/2500000000000 binary64) #s(literal 479507597606835099/10000000000000000 binary64))
(+ 479507597606835099/10000000000000000 (* z (+ 904338909853211/2500000000000 (* 2076511864126339/4000000000000 z))))
(fma.f64 z (fma.f64 z #s(literal 2076511864126339/4000000000000 binary64) #s(literal 904338909853211/2500000000000 binary64)) #s(literal 479507597606835099/10000000000000000 binary64))
(+ 479507597606835099/10000000000000000 (* z (+ 904338909853211/2500000000000 (* z (+ 2076511864126339/4000000000000 (* 23912966683069397/40000000000000 z))))))
(fma.f64 z (fma.f64 z (fma.f64 z #s(literal 23912966683069397/40000000000000 binary64) #s(literal 2076511864126339/4000000000000 binary64)) #s(literal 904338909853211/2500000000000 binary64)) #s(literal 479507597606835099/10000000000000000 binary64))
9999999999998099/10000000000000000
#s(literal 9999999999998099/10000000000000000 binary64)
(+ 9999999999998099/10000000000000000 (* 5826188486005177/10000000000000 (/ 1 z)))
(+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 5826188486005177/10000000000000 binary64) z))
(+ 9999999999998099/10000000000000000 (+ (* 5826188486005177/10000000000000 (/ 1 z)) (/ 3683516130645841/2000000000000 (pow z 2))))
(+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 5826188486005177/10000000000000 binary64) z)) (/.f64 #s(literal 3683516130645841/2000000000000 binary64) (*.f64 z z)))
(+ 9999999999998099/10000000000000000 (+ (* 5826188486005177/10000000000000 (/ 1 z)) (+ (* 43600364987677261/10000000000000 (/ 1 (pow z 3))) (/ 3683516130645841/2000000000000 (pow z 2)))))
(+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 5826188486005177/10000000000000 binary64) z)) (/.f64 #s(literal 3683516130645841/2000000000000 binary64) (.f64 z z))) (/.f64 #s(literal 43600364987677261/10000000000000 binary64) (.f64 z (*.f64 z z))))
9999999999998099/10000000000000000
#s(literal 9999999999998099/10000000000000000 binary64)
(+ 9999999999998099/10000000000000000 (* 5826188486005177/10000000000000 (/ 1 z)))
(+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 5826188486005177/10000000000000 binary64) z))
(+ 9999999999998099/10000000000000000 (+ (* 5826188486005177/10000000000000 (/ 1 z)) (/ 3683516130645841/2000000000000 (pow z 2))))
(+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 5826188486005177/10000000000000 binary64) z)) (/.f64 #s(literal 3683516130645841/2000000000000 binary64) (*.f64 z z)))
(+ 9999999999998099/10000000000000000 (* -1 (/ (- (* -1 (/ (+ 3683516130645841/2000000000000 (* 43600364987677261/10000000000000 (/ 1 z))) z)) 5826188486005177/10000000000000) z)))
(+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 (+.f64 #s(literal 5826188486005177/10000000000000 binary64) (/.f64 (+.f64 #s(literal 3683516130645841/2000000000000 binary64) (/.f64 #s(literal 43600364987677261/10000000000000 binary64) z)) z)) z))
(* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (exp.f64 #s(literal -15/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64)))))
(+ (* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))) (* (* z (+ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15)))))) (sqrt (PI))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (exp.f64 #s(literal -15/2 binary64)) (fma.f64 z (.f64 (+.f64 (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))))))
(+ (* z (+ (* (sqrt (PI)) (+ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15)))))) (* (* z (+ (* 1/2 (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))) (+ (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2)))))) (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))))))) (sqrt (PI))))) (* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))))
(.f64 (sqrt.f64 (PI.f64)) (fma.f64 (exp.f64 #s(literal -15/2 binary64)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64)) (.f64 z (.f64 (+.f64 (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64)))))) (.f64 z (.f64 z (.f64 (.f64 (exp.f64 #s(literal -15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (sqrt.f64 #s(literal 15/2 binary64)) (+.f64 (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))) (fma.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 2 binary64)) #s(literal 29/225 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 15/2 binary64)))))))))
(+ (* z (+ (* z (+ (* (sqrt (PI)) (+ (* 1/2 (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))) (+ (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2)))))) (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))))))) (* (* z (+ (* 1/6 (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))) (+ (* 1/2 (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))))) (+ (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (+ 86/10125 (+ (* 29/225 (- (* -1 (log 15/2)) 1/15)) (* 1/6 (pow (- (* -1 (log 15/2)) 1/15) 3))))))) (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2)))))))))) (sqrt (PI))))) (* (sqrt (PI)) (+ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15)))))))) (* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))))
(fma.f64 z (.f64 z (.f64 (sqrt.f64 (PI.f64)) (fma.f64 z (fma.f64 (.f64 (exp.f64 #s(literal -15/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64)))) (+.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 2 binary64)) #s(literal 29/225 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 3 binary64)) (fma.f64 (log.f64 #s(literal 15/2 binary64)) #s(literal -29/225 binary64) #s(literal -1/10125 binary64)))) (.f64 (.f64 (exp.f64 #s(literal -15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal 15/2 binary64)) (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64)))) (.f64 (sqrt.f64 #s(literal 15/2 binary64)) #s(literal 1/6 binary64))))) (.f64 (.f64 (exp.f64 #s(literal -15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (sqrt.f64 #s(literal 15/2 binary64)) (+.f64 (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))) (fma.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 2 binary64)) #s(literal 29/225 binary64))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 15/2 binary64)))))))) (.f64 (sqrt.f64 (PI.f64)) (.f64 (exp.f64 #s(literal -15/2 binary64)) (fma.f64 z (.f64 (+.f64 (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64)))))))
(* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))))
(.f64 (exp.f64 (+.f64 z #s(literal -15/2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))))
(* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))))
(.f64 (exp.f64 (+.f64 z #s(literal -15/2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))))
(* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))))
(.f64 (exp.f64 (+.f64 z #s(literal -15/2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))))
(* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))))
(.f64 (exp.f64 (+.f64 z #s(literal -15/2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))))
(* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))
(.f64 (exp.f64 (+.f64 z #s(literal -15/2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))))
(* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))
(.f64 (exp.f64 (+.f64 z #s(literal -15/2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))))
(* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))
(.f64 (exp.f64 (+.f64 z #s(literal -15/2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))))
(* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))
(.f64 (exp.f64 (+.f64 z #s(literal -15/2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))))

eval323.0ms (0.2%)

Memory: 6.8MiB live, 762.3MiB allocated
Compiler: Compiled 177 098 to 8 406 computations (95.3% saved)

prune336.0ms (0.2%)

Memory

3.3MiB live, 500.0MiB allocated

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	1 281	23	1 304
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	1 282	23	1 305

Accuracy

98.6%

Counts

1 305 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.6%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (/.f64 (*.f64 (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64))) (sqrt.f64 (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 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
▶	96.6%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)) (fma.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
	96.1%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (fma.f64 (fma.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) #s(literal 343 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) #s(literal 49 binary64)) (.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) #s(literal 7 binary64)))) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
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▶	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 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 #s(literal 0 binary64) z) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
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▶	98.4%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (fma.f64 (+.f64 (-.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 (+.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 (sqrt.f64 (PI.f64)) (.f64 (exp.f64 #s(literal -15/2 binary64)) (fma.f64 z (.f64 (+.f64 (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64)))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
▶	93.6%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (PI.f64)) (.f64 (exp.f64 #s(literal -15/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
	96.8%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (exp.f64 (+.f64 z #s(literal -15/2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
	97.8%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 (fma.f64 (log.f64 (.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 1/2 binary64) (fma.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)) (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64))) (-.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))))))

Compiler

Compiled 5 596 to 2 854 computations (49% saved)

simplify266.0ms (0.2%)

Memory

8.3MiB live, 441.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	192	(+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))
✓	cost-diff	256	(fma.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))
✓	cost-diff	512	(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)) (fma.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))
✓	cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)) (fma.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))))
✓	cost-diff	192	(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64))
✓	cost-diff	192	(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
✓	cost-diff	192	(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64))
✓	cost-diff	192	(+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))
✓	cost-diff	192	(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64))
✓	cost-diff	192	(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
✓	cost-diff	192	(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64))
✓	cost-diff	192	(+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))
✓	cost-diff	192	(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64))
✓	cost-diff	192	(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64))
✓	cost-diff	192	(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
✓	cost-diff	192	(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	cost-diff	192	(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	cost-diff	192	(-.f64 #s(literal 0 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)))
✓	cost-diff	192	(+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64))
✓	cost-diff	192	(+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64))

Rules

4 484×	`+-lowering-+.f64`
4 484×	`+-lowering-+.f32`
3 116×	`accelerator-lowering-fma.f32`
3 116×	`accelerator-lowering-fma.f64`
2 418×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	125	3497
1	364	3103
2	1752	2613
3	5761	2612
0	8271	2581

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (/ (PI) (sin (* (PI) z))) (* (* (sqrt (PI)) (* (sqrt 2) (exp (+ (* (+ (- 1 z) -1/2) (log (+ (- 1 z) 13/2))) (- 0 (+ (- 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 (PI)) (* (sqrt 2) (exp (+ (* (+ (- 1 z) -1/2) (log (+ (- 1 z) 13/2))) (- 0 (+ (- 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 (PI)) (* (sqrt 2) (exp (+ (* (+ (- 1 z) -1/2) (log (+ (- 1 z) 13/2))) (- 0 (+ (- 1 z) 13/2))))))
(sqrt (PI))
(* (sqrt 2) (exp (+ (* (+ (- 1 z) -1/2) (log (+ (- 1 z) 13/2))) (- 0 (+ (- 1 z) 13/2)))))
(sqrt 2)
2
(exp (+ (* (+ (- 1 z) -1/2) (log (+ (- 1 z) 13/2))) (- 0 (+ (- 1 z) 13/2))))
(+ (* (+ (- 1 z) -1/2) (log (+ (- 1 z) 13/2))) (- 0 (+ (- 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
(+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 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)) (* (exp -15/2) (* (sqrt 2) (sqrt 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)) (* (exp -15/2) (* (sqrt 2) (sqrt 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)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))))
(sqrt (PI))
(* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))
(exp -15/2)
-15/2
(* (sqrt 2) (sqrt 15/2))
(sqrt 2)
2
(sqrt 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)))
(+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -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)))) (+ (+ (+ (+ (+ (+ (+ (* z (+ (* z (+ (* z 23912966683069397/40000000000000) 2076511864126339/4000000000000)) 904338909853211/2500000000000)) 479507597606835099/10000000000000000) (/ 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)))) (+ (+ (+ (+ (+ (+ (+ (* z (+ (* z (+ (* z 23912966683069397/40000000000000) 2076511864126339/4000000000000)) 904338909853211/2500000000000)) 479507597606835099/10000000000000000) (/ 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))
(+ (+ (+ (+ (+ (+ (+ (* z (+ (* z (+ (* z 23912966683069397/40000000000000) 2076511864126339/4000000000000)) 904338909853211/2500000000000)) 479507597606835099/10000000000000000) (/ 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)))
(+ (+ (+ (+ (+ (+ (* z (+ (* z (+ (* z 23912966683069397/40000000000000) 2076511864126339/4000000000000)) 904338909853211/2500000000000)) 479507597606835099/10000000000000000) (/ 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)))
(+ (+ (+ (+ (+ (* z (+ (* z (+ (* z 23912966683069397/40000000000000) 2076511864126339/4000000000000)) 904338909853211/2500000000000)) 479507597606835099/10000000000000000) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6)))
(+ (+ (+ (+ (* z (+ (* z (+ (* z 23912966683069397/40000000000000) 2076511864126339/4000000000000)) 904338909853211/2500000000000)) 479507597606835099/10000000000000000) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5)))
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(+ (* z (+ (* z 23912966683069397/40000000000000) 2076511864126339/4000000000000)) 904338909853211/2500000000000)
(+ (* z 23912966683069397/40000000000000) 2076511864126339/4000000000000)
23912966683069397/40000000000000
2076511864126339/4000000000000
904338909853211/2500000000000
479507597606835099/10000000000000000
(/ 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)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- 0 z) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 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 (+ (- 0 z) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 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 (+ (- 0 z) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 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 (+ (- 0 z) 2))) (/ 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 (+ (- 0 z) 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 (+ (- 0 z) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4)))
(+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- 0 z) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3)))
(+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- 0 z) 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 (+ (- 0 z) 2))
-3147848041806007/2500000000000
(+ (- 0 z) 2)
(- 0 z)
0
(/ 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 (/ (+ 1 (- 1 z)) (+ (* (- 1 z) (- 1 z)) -1))) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 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 (/ (+ 1 (- 1 z)) (+ (* (- 1 z) (- 1 z)) -1))) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 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 (/ (+ 1 (- 1 z)) (+ (* (- 1 z) (- 1 z)) -1))) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2))))
(* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (/ 1 (/ (+ 1 (- 1 z)) (+ (* (- 1 z) (- 1 z)) -1))) 1/2)))
(sqrt (* (PI) 2))
(* (PI) 2)
2
(pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (/ 1 (/ (+ 1 (- 1 z)) (+ (* (- 1 z) (- 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 (/ (+ 1 (- 1 z)) (+ (* (- 1 z) (- 1 z)) -1))) 1/2)
(/ 1 (/ (+ 1 (- 1 z)) (+ (* (- 1 z) (- 1 z)) -1)))
(/ (+ 1 (- 1 z)) (+ (* (- 1 z) (- 1 z)) -1))
(+ 1 (- 1 z))
(+ (* (- 1 z) (- 1 z)) -1)
-1
(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)) (* (sqrt 2) (exp (+ (* (+ (- 1 z) -1/2) (log (+ (- 1 z) 13/2))) (- 0 (+ (- 1 z) 13/2)))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))))
(.f64 (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (+.f64 (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))))) (/.f64 #s(literal -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))))) (.f64 (.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (+.f64 z #s(literal -15/2 binary64))))) (/.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64))) (sin.f64 (.f64 (PI.f64) 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
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(* (PI) 2)
(*.f64 (PI.f64) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (/ 1 (/ (+ 1 (- 1 z)) (+ (* (- 1 z) (- 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 (/ (+ 1 (- 1 z)) (+ (* (- 1 z) (- 1 z)) -1))) 1/2)
(-.f64 #s(literal 1/2 binary64) z)
(/ 1 (/ (+ 1 (- 1 z)) (+ (* (- 1 z) (- 1 z)) -1)))
(-.f64 #s(literal 0 binary64) z)
(/ (+ 1 (- 1 z)) (+ (* (- 1 z) (- 1 z)) -1))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) z))
(+ 1 (- 1 z))
(-.f64 #s(literal 2 binary64) z)
(+ (* (- 1 z) (- 1 z)) -1)
(*.f64 z (+.f64 z #s(literal -2 binary64)))
-1
#s(literal -1 binary64)
(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 -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (+.f64 (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))))) (/.f64 #s(literal -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 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)))) (+.f64 (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 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 #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 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 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)))))))
(+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -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 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)))) (+.f64 (/.f64 #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)))))
(+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 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 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (+.f64 (/.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 -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 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)))))
(+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2)))
(+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))))
(+ 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)

localize1.3s (0.8%)

Memory

23.7MiB live, 1 931.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	97.9%	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)) (fma.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))) #s(literal 1/2 binary64)))) (exp.f64 (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	10.4%	(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
✓	accuracy	10.4%	(fma.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))
✓	accuracy	98.4%	(sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))
✓	accuracy	97.9%	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (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 #s(literal 0 binary64) z) #s(literal 2 binary64))))
✓	accuracy	10.4%	(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
✓	accuracy	98.5%	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 23912966683069397/40000000000000 binary64) #s(literal 2076511864126339/4000000000000 binary64)) #s(literal 904338909853211/2500000000000 binary64)) #s(literal 479507597606835099/10000000000000000 binary64)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64)))))
✓	accuracy	98.4%	(sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))
✓	accuracy	97.9%	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (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	10.4%	(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
✓	accuracy	98.4%	(.f64 (sqrt.f64 (PI.f64)) (.f64 (exp.f64 #s(literal -15/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64)))))
✓	accuracy	98.4%	(sqrt.f64 (PI.f64))
✓	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	10.4%	(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
✓	accuracy	98.4%	(sqrt.f64 (PI.f64))
✓	accuracy	97.6%	(exp.f64 (fma.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)) (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64))) (-.f64 #s(literal 0 binary64) (+.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	10.4%	(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))

Samples

552.0ms	231×	1	valid
29.0ms	24×	0	valid
4.0ms	1×	3	valid

Compiler

Compiled 4 283 to 127 computations (97% saved)

Precisions

Click to see histograms. Total time spent on operations: 407.0ms

const: 86.0ms (21.1% of total)

ival-add: 83.0ms (20.4% of total)

ival-mult: 70.0ms (17.2% of total)

adjust: 44.0ms (10.8% of total)

ival-exp: 37.0ms (9.1% of total)

ival-div: 34.0ms (8.4% of total)

ival-pow: 16.0ms (3.9% of total)

ival-sqrt: 10.0ms (2.5% of total)

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

ival-log: 7.0ms (1.7% of total)

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

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

exact: 2.0ms (0.5% of total)

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

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

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

series29.0ms (0%)

Memory

-28.5MiB live, 51.9MiB allocated

Counts

22 → 228

Calls

Call 1

Inputs
#<alt (+ (- 1 z) -1/2)>
#<alt (+ (- 1 z) 13/2)>
#<alt (- 0 (+ (- 1 z) 13/2))>
#<alt (+ (- (- 1 z) 1) 1)>
#<alt (- (- 1 z) 1)>
#<alt (+ (- (- 1 z) 1) 2)>
#<alt (+ (- (- 1 z) 1) 3)>
#<alt (+ (+ (- (- 1 z) 1) 7) 1/2)>
#<alt (+ (- (- 1 z) 1) 7)>
#<alt (+ (- (- 1 z) 1) 1/2)>
#<alt (/ 1 (/ (+ 1 (- 1 z)) (+ (* (- 1 z) (- 1 z)) -1)))>
#<alt (/ (+ 1 (- 1 z)) (+ (* (- 1 z) (- 1 z)) -1))>
#<alt (+ (* (- 1 z) (- 1 z)) -1)>
#<alt (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2)))>
#<alt (exp (+ (* (+ (- 1 z) -1/2) (log (+ (- 1 z) 13/2))) (- 0 (+ (- 1 z) 13/2))))>
#<alt (sqrt (PI))>
#<alt (* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))))>
#<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))>
#<alt (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (* z (+ (* z (+ (* z 23912966683069397/40000000000000) 2076511864126339/4000000000000)) 904338909853211/2500000000000)) 479507597606835099/10000000000000000) (/ 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))))>
#<alt (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- 0 z) 2)))>
#<alt (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (/ 1 (/ (+ 1 (- 1 z)) (+ (* (- 1 z) (- 1 z)) -1))) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2))))>

Outputs
#<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)))))>
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#<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 (/ (pow (- 1 z) 2) (- 2 z))) (/ 1 (- 2 z))))) (* (exp (- z 15/2)) (sqrt 2))))>
#<alt (* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- (+ 1/2 (/ (pow (- 1 z) 2) (- 2 z))) (/ 1 (- 2 z))))) (* (exp (- z 15/2)) (sqrt 2))))>
#<alt (* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- (+ 1/2 (/ (pow (- 1 z) 2) (- 2 z))) (/ 1 (- 2 z))))) (* (exp (- z 15/2)) (sqrt 2))))>
#<alt (* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- (+ 1/2 (/ (pow (- 1 z) 2) (- 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 (/ (pow (+ 1 (* -1 z)) 2) (+ 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 (/ (pow (+ 1 (* -1 z)) 2) (+ 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 (/ (pow (+ 1 (* -1 z)) 2) (+ 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 (/ (pow (+ 1 (* -1 z)) 2) (+ 2 (* -1 z)))) (/ 1 (+ 2 (* -1 z)))))) (sqrt 2))))>

Calls

57 calls:

Time	Variable		Point	Expression
5.0ms	z	@	0	(/ 1 (/ (+ 1 (- 1 z)) (+ (* (- 1 z) (- 1 z)) -1)))
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)))) (+ (+ (+ (+ (+ (+ (+ (* z (+ (* z (+ (* z 23912966683069397/40000000000000) 2076511864126339/4000000000000)) 904338909853211/2500000000000)) 479507597606835099/10000000000000000) (/ 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))))
3.0ms	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)))) (+ (+ (+ (+ (+ (+ (+ (* z (+ (* z (+ (* z 23912966683069397/40000000000000) 2076511864126339/4000000000000)) 904338909853211/2500000000000)) 479507597606835099/10000000000000000) (/ 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))))
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)))) (+ (+ (+ (+ (+ (+ (+ (* z (+ (* z (+ (* z 23912966683069397/40000000000000) 2076511864126339/4000000000000)) 904338909853211/2500000000000)) 479507597606835099/10000000000000000) (/ 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))))
1.0ms	z	@	-inf	(* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (/ 1 (/ (+ 1 (- 1 z)) (+ (* (- 1 z) (- 1 z)) -1))) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2))))

rewrite732.0ms (0.5%)

Memory

-149.8MiB live, 773.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 580×	`accelerator-lowering-fma.f32`
4 580×	`accelerator-lowering-fma.f64`
4 130×	`-lowering-.f32`
4 130×	`-lowering-.f64`
3 532×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	99	288
1	749	221
0	8476	217

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 932

Calls

Call 1

Inputs
(+ (- 1 z) -1/2)
(+ (- 1 z) 13/2)
(- 0 (+ (- 1 z) 13/2))
(+ (- (- 1 z) 1) 1)
(- (- 1 z) 1)
(+ (- (- 1 z) 1) 2)
(+ (- (- 1 z) 1) 3)
(+ (+ (- (- 1 z) 1) 7) 1/2)
(+ (- (- 1 z) 1) 7)
(+ (- (- 1 z) 1) 1/2)
(/ 1 (/ (+ 1 (- 1 z)) (+ (* (- 1 z) (- 1 z)) -1)))
(/ (+ 1 (- 1 z)) (+ (* (- 1 z) (- 1 z)) -1))
(+ (* (- 1 z) (- 1 z)) -1)
(+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2)))
(exp (+ (* (+ (- 1 z) -1/2) (log (+ (- 1 z) 13/2))) (- 0 (+ (- 1 z) 13/2))))
(sqrt (PI))
(* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))))
(* (* (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))
(* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (* z (+ (* z (+ (* z 23912966683069397/40000000000000) 2076511864126339/4000000000000)) 904338909853211/2500000000000)) 479507597606835099/10000000000000000) (/ 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 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- 0 z) 2)))
(* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (/ 1 (/ (+ 1 (- 1 z)) (+ (* (- 1 z) (- 1 z)) -1))) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2))))

Outputs
(+.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 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(+.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 #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 (-.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 (/.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 #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))
(fma.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64) #s(literal -1/2 binary64))
(fma.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) z)) #s(literal 1/2 binary64))
(fma.f64 (-.f64 #s(literal 2 binary64) z) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (-.f64 #s(literal 2 binary64) z)) #s(literal 1/2 binary64))
(fma.f64 (fma.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))) #s(literal -1/2 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (fma.f64 z z #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))) #s(literal -1/2 binary64))
(fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 2 binary64) z))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) z)) (fma.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) z)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) #s(literal -1 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 -1/2 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z)) #s(literal -1/2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) z))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal -1 binary64) z) (-.f64 #s(literal 1 binary64) z))) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) z)) (-.f64 #s(literal 2 binary64) z)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal -1 binary64) z) (-.f64 #s(literal 1 binary64) z)))) z #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) #s(literal 1/4 binary64)) (.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) #s(literal 1/2 binary64))) (fma.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3/2 binary64)) (fma.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) #s(literal -1/4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) (.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) z) (.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) #s(literal -1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z) #s(literal -1/4 binary64))))
(/.f64 (fma.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) #s(literal 1/4 binary64)) (.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) #s(literal 1/2 binary64))))
(/.f64 (fma.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 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 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))))))
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) #s(literal -1/8 binary64)) (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) (.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64))))
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) #s(literal -1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) z)))))
(/.f64 (fma.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) #s(literal -1/4 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3/2 binary64)))
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z) #s(literal -1/4 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (fma.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) #s(literal 1/8 binary64))) (neg.f64 (-.f64 (fma.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) #s(literal 1/4 binary64)) (.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) #s(literal -1/4 binary64))) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3/2 binary64))))
(/.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) #s(literal -1/8 binary64))) (neg.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) (.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)))))
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simplify700.0ms (0.5%)

Memory

16.6MiB live, 1 430.5MiB allocated

Algorithm

1×	egg-herbie

Rules

15 134×	`accelerator-lowering-fma.f32`
15 134×	`accelerator-lowering-fma.f64`
7 034×	`-lowering-.f32`
7 034×	`-lowering-.f64`
5 298×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	336	3028
1	1115	2885
2	4222	2667
0	8674	2565

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

Inputs
1/2
(+ 1/2 (* -1 z))
(+ 1/2 (* -1 z))
(+ 1/2 (* -1 z))
(* -1 z)
(* z (- (* 1/2 (/ 1 z)) 1))
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(* z (- (* 1/2 (/ 1 z)) 1))
(* -1 z)
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(* -1 (* z (- 1 (* 1/2 (/ 1 z)))))
(* -1 (* z (- 1 (* 1/2 (/ 1 z)))))
15/2
(+ 15/2 (* -1 z))
(+ 15/2 (* -1 z))
(+ 15/2 (* -1 z))
(* -1 z)
(* z (- (* 15/2 (/ 1 z)) 1))
(* z (- (* 15/2 (/ 1 z)) 1))
(* z (- (* 15/2 (/ 1 z)) 1))
(* -1 z)
(* -1 (* z (- 1 (* 15/2 (/ 1 z)))))
(* -1 (* z (- 1 (* 15/2 (/ 1 z)))))
(* -1 (* z (- 1 (* 15/2 (/ 1 z)))))
-15/2
(- z 15/2)
(- z 15/2)
(- z 15/2)
z
(* z (- 1 (* 15/2 (/ 1 z))))
(* z (- 1 (* 15/2 (/ 1 z))))
(* z (- 1 (* 15/2 (/ 1 z))))
z
(* -1 (* z (- (* 15/2 (/ 1 z)) 1)))
(* -1 (* z (- (* 15/2 (/ 1 z)) 1)))
(* -1 (* z (- (* 15/2 (/ 1 z)) 1)))
1
(+ 1 (* -1 z))
(+ 1 (* -1 z))
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(* -1 z)
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(* z (- (/ 1 z) 1))
(* z (- (/ 1 z) 1))
(* -1 z)
(* -1 (* z (- 1 (/ 1 z))))
(* -1 (* z (- 1 (/ 1 z))))
(* -1 (* z (- 1 (/ 1 z))))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
2
(+ 2 (* -1 z))
(+ 2 (* -1 z))
(+ 2 (* -1 z))
(* -1 z)
(* z (- (* 2 (/ 1 z)) 1))
(* z (- (* 2 (/ 1 z)) 1))
(* z (- (* 2 (/ 1 z)) 1))
(* -1 z)
(* -1 (* z (- 1 (* 2 (/ 1 z)))))
(* -1 (* z (- 1 (* 2 (/ 1 z)))))
(* -1 (* z (- 1 (* 2 (/ 1 z)))))
3
(+ 3 (* -1 z))
(+ 3 (* -1 z))
(+ 3 (* -1 z))
(* -1 z)
(* z (- (* 3 (/ 1 z)) 1))
(* z (- (* 3 (/ 1 z)) 1))
(* z (- (* 3 (/ 1 z)) 1))
(* -1 z)
(* -1 (* z (- 1 (* 3 (/ 1 z)))))
(* -1 (* z (- 1 (* 3 (/ 1 z)))))
(* -1 (* z (- 1 (* 3 (/ 1 z)))))
15/2
(+ 15/2 (* -1 z))
(+ 15/2 (* -1 z))
(+ 15/2 (* -1 z))
(* -1 z)
(* z (- (* 15/2 (/ 1 z)) 1))
(* z (- (* 15/2 (/ 1 z)) 1))
(* z (- (* 15/2 (/ 1 z)) 1))
(* -1 z)
(* -1 (* z (- 1 (* 15/2 (/ 1 z)))))
(* -1 (* z (- 1 (* 15/2 (/ 1 z)))))
(* -1 (* z (- 1 (* 15/2 (/ 1 z)))))
7
(+ 7 (* -1 z))
(+ 7 (* -1 z))
(+ 7 (* -1 z))
(* -1 z)
(* z (- (* 7 (/ 1 z)) 1))
(* z (- (* 7 (/ 1 z)) 1))
(* z (- (* 7 (/ 1 z)) 1))
(* -1 z)
(* -1 (* z (- 1 (* 7 (/ 1 z)))))
(* -1 (* z (- 1 (* 7 (/ 1 z)))))
(* -1 (* z (- 1 (* 7 (/ 1 z)))))
1/2
(+ 1/2 (* -1 z))
(+ 1/2 (* -1 z))
(+ 1/2 (* -1 z))
(* -1 z)
(* z (- (* 1/2 (/ 1 z)) 1))
(* z (- (* 1/2 (/ 1 z)) 1))
(* z (- (* 1/2 (/ 1 z)) 1))
(* -1 z)
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(* -1 (* z (- 1 (* 1/2 (/ 1 z)))))
(* -1 (* z (- 1 (* 1/2 (/ 1 z)))))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(/ -1 z)
(/ -1 z)
(/ -1 z)
(/ -1 z)
(/ -1 z)
(/ -1 z)
(/ -1 z)
(/ -1 z)
(/ -1 z)
(/ -1 z)
(/ -1 z)
(/ -1 z)
(* -2 z)
(* z (- z 2))
(* z (- z 2))
(* z (- z 2))
(pow z 2)
(* (pow z 2) (- 1 (* 2 (/ 1 z))))
(* (pow z 2) (- 1 (* 2 (/ 1 z))))
(* (pow z 2) (- 1 (* 2 (/ 1 z))))
(pow z 2)
(* (pow z 2) (- 1 (* 2 (/ 1 z))))
(* (pow z 2) (- 1 (* 2 (/ 1 z))))
(* (pow z 2) (- 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)))
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(+ 9999999999998099/10000000000000000 (+ (* 5826188486005177/10000000000000 (/ 1 z)) (+ (* 43600364987677261/10000000000000 (/ 1 (pow z 3))) (/ 3683516130645841/2000000000000 (pow z 2)))))
9999999999998099/10000000000000000
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(exp (- (* 1/2 (log 15/2)) 15/2))
(+ (exp (- (* 1/2 (log 15/2)) 15/2)) (* z (* (exp (- (* 1/2 (log 15/2)) 15/2)) (+ 14/15 (* -1 (log 15/2))))))
(+ (exp (- (* 1/2 (log 15/2)) 15/2)) (* z (+ (* z (* (exp (- (* 1/2 (log 15/2)) 15/2)) (+ 29/225 (* 1/2 (pow (+ 14/15 (* -1 (log 15/2))) 2))))) (* (exp (- (* 1/2 (log 15/2)) 15/2)) (+ 14/15 (* -1 (log 15/2)))))))
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(exp (- (+ z (* (log (- 15/2 z)) (- 1/2 z))) 15/2))
(exp (- (+ z (* (log (- 15/2 z)) (- 1/2 z))) 15/2))
(exp (- (+ z (* (log (- 15/2 z)) (- 1/2 z))) 15/2))
(exp (- (+ z (* (log (- 15/2 z)) (- 1/2 z))) 15/2))
(exp (- (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z))) (+ 15/2 (* -1 z))))
(exp (- (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z))) (+ 15/2 (* -1 z))))
(exp (- (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z))) (+ 15/2 (* -1 z))))
(exp (- (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z))) (+ 15/2 (* -1 z))))
(* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))))
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(* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))
(* (sqrt (PI)) (* (exp (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))))
(* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))))
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(* 23912966683069397/40000000000000 (* (* (pow z 3) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2)))) (sqrt (PI))))
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(* -1 (* (pow z 3) (+ (* -23912966683069397/40000000000000 (* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))) (* -1 (/ (+ (* 904338909853211/2500000000000 (* (/ (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))) z) (sqrt (PI)))) (* 2076511864126339/4000000000000 (* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)))))) z)))))
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479507597606835099/10000000000000000
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(* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))))
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(* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- (+ 1/2 (/ (pow (- 1 z) 2) (- 2 z))) (/ 1 (- 2 z))))) (* (exp (- z 15/2)) (sqrt 2))))
(* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- (+ 1/2 (/ (pow (- 1 z) 2) (- 2 z))) (/ 1 (- 2 z))))) (* (exp (- z 15/2)) (sqrt 2))))
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(* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- (+ 1/2 (/ (pow (- 1 z) 2) (- 2 z))) (/ 1 (- 2 z))))) (* (exp (- z 15/2)) (sqrt 2))))
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(* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (- (+ 1/2 (/ (pow (+ 1 (* -1 z)) 2) (+ 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 (/ (pow (+ 1 (* -1 z)) 2) (+ 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 (/ (pow (+ 1 (* -1 z)) 2) (+ 2 (* -1 z)))) (/ 1 (+ 2 (* -1 z)))))) (sqrt 2))))

Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1 z))
(-.f64 #s(literal 1/2 binary64) z)
(+ 1/2 (* -1 z))
(-.f64 #s(literal 1/2 binary64) z)
(+ 1/2 (* -1 z))
(-.f64 #s(literal 1/2 binary64) z)
(* -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)))
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)))
-15/2
#s(literal -15/2 binary64)
(- z 15/2)
(+.f64 z #s(literal -15/2 binary64))
(- z 15/2)
(+.f64 z #s(literal -15/2 binary64))
(- z 15/2)
(+.f64 z #s(literal -15/2 binary64))
z
(* z (- 1 (* 15/2 (/ 1 z))))
(fma.f64 z (/.f64 #s(literal -15/2 binary64) z) z)
(* z (- 1 (* 15/2 (/ 1 z))))
(fma.f64 z (/.f64 #s(literal -15/2 binary64) z) z)
(* z (- 1 (* 15/2 (/ 1 z))))
(fma.f64 z (/.f64 #s(literal -15/2 binary64) z) z)
z
(* -1 (* z (- (* 15/2 (/ 1 z)) 1)))
(fma.f64 z (/.f64 #s(literal -15/2 binary64) z) z)
(* -1 (* z (- (* 15/2 (/ 1 z)) 1)))
(fma.f64 z (/.f64 #s(literal -15/2 binary64) z) z)
(* -1 (* z (- (* 15/2 (/ 1 z)) 1)))
(fma.f64 z (/.f64 #s(literal -15/2 binary64) z) z)
1
#s(literal 1 binary64)
(+ 1 (* -1 z))
(-.f64 #s(literal 1 binary64) z)
(+ 1 (* -1 z))
(-.f64 #s(literal 1 binary64) z)
(+ 1 (* -1 z))
(-.f64 #s(literal 1 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* z (- (/ 1 z) 1))
(-.f64 #s(literal 1 binary64) z)
(* z (- (/ 1 z) 1))
(-.f64 #s(literal 1 binary64) z)
(* z (- (/ 1 z) 1))
(-.f64 #s(literal 1 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 (* z (- 1 (/ 1 z))))
(-.f64 #s(literal 1 binary64) z)
(* -1 (* z (- 1 (/ 1 z))))
(-.f64 #s(literal 1 binary64) z)
(* -1 (* z (- 1 (/ 1 z))))
(-.f64 #s(literal 1 binary64) z)
(* -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)
2
#s(literal 2 binary64)
(+ 2 (* -1 z))
(-.f64 #s(literal 2 binary64) z)
(+ 2 (* -1 z))
(-.f64 #s(literal 2 binary64) z)
(+ 2 (* -1 z))
(-.f64 #s(literal 2 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* z (- (* 2 (/ 1 z)) 1))
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) z)))
(* z (- (* 2 (/ 1 z)) 1))
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) z)))
(* z (- (* 2 (/ 1 z)) 1))
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) z)))
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 (* z (- 1 (* 2 (/ 1 z)))))
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) z)))
(* -1 (* z (- 1 (* 2 (/ 1 z)))))
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) z)))
(* -1 (* z (- 1 (* 2 (/ 1 z)))))
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) z)))
3
#s(literal 3 binary64)
(+ 3 (* -1 z))
(-.f64 #s(literal 3 binary64) z)
(+ 3 (* -1 z))
(-.f64 #s(literal 3 binary64) z)
(+ 3 (* -1 z))
(-.f64 #s(literal 3 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* z (- (* 3 (/ 1 z)) 1))
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 3 binary64) z)))
(* z (- (* 3 (/ 1 z)) 1))
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 3 binary64) z)))
(* z (- (* 3 (/ 1 z)) 1))
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 3 binary64) z)))
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 (* z (- 1 (* 3 (/ 1 z)))))
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 3 binary64) z)))
(* -1 (* z (- 1 (* 3 (/ 1 z)))))
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 3 binary64) z)))
(* -1 (* z (- 1 (* 3 (/ 1 z)))))
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 3 binary64) z)))
15/2
#s(literal 15/2 binary64)
(+ 15/2 (* -1 z))
(-.f64 #s(literal 15/2 binary64) z)
(+ 15/2 (* -1 z))
(-.f64 #s(literal 15/2 binary64) z)
(+ 15/2 (* -1 z))
(-.f64 #s(literal 15/2 binary64) z)
(* -1 z)
(-.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)))
1/2
#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)))
(* -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 z)
(/.f64 #s(literal -1 binary64) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(* -2 z)
(*.f64 z #s(literal -2 binary64))
(* z (- z 2))
(*.f64 z (+.f64 z #s(literal -2 binary64)))
(* z (- z 2))
(*.f64 z (+.f64 z #s(literal -2 binary64)))
(* z (- z 2))
(*.f64 z (+.f64 z #s(literal -2 binary64)))
(pow z 2)
(*.f64 z z)
(* (pow z 2) (- 1 (* 2 (/ 1 z))))
(.f64 z (.f64 z (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) z))))
(* (pow z 2) (- 1 (* 2 (/ 1 z))))
(.f64 z (.f64 z (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) z))))
(* (pow z 2) (- 1 (* 2 (/ 1 z))))
(.f64 z (.f64 z (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) z))))
(pow z 2)
(*.f64 z z)
(* (pow z 2) (- 1 (* 2 (/ 1 z))))
(.f64 z (.f64 z (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) z))))
(* (pow z 2) (- 1 (* 2 (/ 1 z))))
(.f64 z (.f64 z (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) z))))
(* (pow z 2) (- 1 (* 2 (/ 1 z))))
(.f64 z (.f64 z (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) z))))
479507597606835099/10000000000000000
#s(literal 479507597606835099/10000000000000000 binary64)
(+ 479507597606835099/10000000000000000 (* 904338909853211/2500000000000 z))
(fma.f64 z #s(literal 904338909853211/2500000000000 binary64) #s(literal 479507597606835099/10000000000000000 binary64))
(+ 479507597606835099/10000000000000000 (* z (+ 904338909853211/2500000000000 (* 2076511864126339/4000000000000 z))))
(fma.f64 z (fma.f64 z #s(literal 2076511864126339/4000000000000 binary64) #s(literal 904338909853211/2500000000000 binary64)) #s(literal 479507597606835099/10000000000000000 binary64))
(+ 479507597606835099/10000000000000000 (* z (+ 904338909853211/2500000000000 (* z (+ 2076511864126339/4000000000000 (* 23912966683069397/40000000000000 z))))))
(fma.f64 z (fma.f64 z (fma.f64 z #s(literal 23912966683069397/40000000000000 binary64) #s(literal 2076511864126339/4000000000000 binary64)) #s(literal 904338909853211/2500000000000 binary64)) #s(literal 479507597606835099/10000000000000000 binary64))
9999999999998099/10000000000000000
#s(literal 9999999999998099/10000000000000000 binary64)
(+ 9999999999998099/10000000000000000 (* 5826188486005177/10000000000000 (/ 1 z)))
(+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 5826188486005177/10000000000000 binary64) z))
(+ 9999999999998099/10000000000000000 (+ (* 5826188486005177/10000000000000 (/ 1 z)) (/ 3683516130645841/2000000000000 (pow z 2))))
(+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 5826188486005177/10000000000000 binary64) z)) (/.f64 #s(literal 3683516130645841/2000000000000 binary64) (*.f64 z z)))
(+ 9999999999998099/10000000000000000 (+ (* 5826188486005177/10000000000000 (/ 1 z)) (+ (* 43600364987677261/10000000000000 (/ 1 (pow z 3))) (/ 3683516130645841/2000000000000 (pow z 2)))))
(+.f64 (/.f64 #s(literal 5826188486005177/10000000000000 binary64) z) (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 43600364987677261/10000000000000 binary64) (.f64 z (.f64 z z)))) (/.f64 #s(literal 3683516130645841/2000000000000 binary64) (*.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))
(exp (- (* 1/2 (log 15/2)) 15/2))
(*.f64 (exp.f64 #s(literal -15/2 binary64)) (sqrt.f64 #s(literal 15/2 binary64)))
(+ (exp (- (* 1/2 (log 15/2)) 15/2)) (* z (* (exp (- (* 1/2 (log 15/2)) 15/2)) (+ 14/15 (* -1 (log 15/2))))))
(.f64 (fma.f64 z (-.f64 #s(literal 14/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 1 binary64)) (.f64 (exp.f64 #s(literal -15/2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))))
(+ (exp (- (* 1/2 (log 15/2)) 15/2)) (* z (+ (* z (* (exp (- (* 1/2 (log 15/2)) 15/2)) (+ 29/225 (* 1/2 (pow (+ 14/15 (* -1 (log 15/2))) 2))))) (* (exp (- (* 1/2 (log 15/2)) 15/2)) (+ 14/15 (* -1 (log 15/2)))))))
(fma.f64 (.f64 z (.f64 (exp.f64 #s(literal -15/2 binary64)) (sqrt.f64 #s(literal 15/2 binary64)))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 #s(literal 14/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 2 binary64)) #s(literal 29/225 binary64)) z (-.f64 #s(literal 14/15 binary64) (log.f64 #s(literal 15/2 binary64)))) (*.f64 (exp.f64 #s(literal -15/2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))))
(+ (exp (- (* 1/2 (log 15/2)) 15/2)) (* z (+ (* z (+ (* z (* (exp (- (* 1/2 (log 15/2)) 15/2)) (+ 86/10125 (+ (* 29/225 (+ 14/15 (* -1 (log 15/2)))) (* 1/6 (pow (+ 14/15 (* -1 (log 15/2))) 3)))))) (* (exp (- (* 1/2 (log 15/2)) 15/2)) (+ 29/225 (* 1/2 (pow (+ 14/15 (* -1 (log 15/2))) 2)))))) (* (exp (- (* 1/2 (log 15/2)) 15/2)) (+ 14/15 (* -1 (log 15/2)))))))
(fma.f64 z (.f64 (.f64 z (.f64 (exp.f64 #s(literal -15/2 binary64)) (sqrt.f64 #s(literal 15/2 binary64)))) (fma.f64 (+.f64 (fma.f64 (log.f64 #s(literal 15/2 binary64)) #s(literal -29/225 binary64) #s(literal 406/3375 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 #s(literal 14/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 3 binary64)) #s(literal 86/10125 binary64))) z (fma.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 #s(literal 14/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 2 binary64)) #s(literal 29/225 binary64)))) (.f64 (fma.f64 z (-.f64 #s(literal 14/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 1 binary64)) (*.f64 (exp.f64 #s(literal -15/2 binary64)) (sqrt.f64 #s(literal 15/2 binary64)))))
(exp (- (+ z (* (log (- 15/2 z)) (- 1/2 z))) 15/2))
(exp.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) z) (log.f64 (-.f64 #s(literal 15/2 binary64) z)) (+.f64 z #s(literal -15/2 binary64))))
(exp (- (+ z (* (log (- 15/2 z)) (- 1/2 z))) 15/2))
(exp.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) z) (log.f64 (-.f64 #s(literal 15/2 binary64) z)) (+.f64 z #s(literal -15/2 binary64))))
(exp (- (+ z (* (log (- 15/2 z)) (- 1/2 z))) 15/2))
(exp.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) z) (log.f64 (-.f64 #s(literal 15/2 binary64) z)) (+.f64 z #s(literal -15/2 binary64))))
(exp (- (+ z (* (log (- 15/2 z)) (- 1/2 z))) 15/2))
(exp.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) z) (log.f64 (-.f64 #s(literal 15/2 binary64) z)) (+.f64 z #s(literal -15/2 binary64))))
(exp (- (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z))) (+ 15/2 (* -1 z))))
(exp.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) z) (log.f64 (-.f64 #s(literal 15/2 binary64) z)) (+.f64 z #s(literal -15/2 binary64))))
(exp (- (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z))) (+ 15/2 (* -1 z))))
(exp.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) z) (log.f64 (-.f64 #s(literal 15/2 binary64) z)) (+.f64 z #s(literal -15/2 binary64))))
(exp (- (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z))) (+ 15/2 (* -1 z))))
(exp.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) z) (log.f64 (-.f64 #s(literal 15/2 binary64) z)) (+.f64 z #s(literal -15/2 binary64))))
(exp (- (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z))) (+ 15/2 (* -1 z))))
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(* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (- (+ 1/2 (/ (pow (+ 1 (* -1 z)) 2) (+ 2 (* -1 z)))) (/ 1 (+ 2 (* -1 z)))))) (sqrt 2))))
(.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (+.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) z))))) (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (+.f64 z #s(literal -15/2 binary64)))) (sqrt.f64 (PI.f64))))
(* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (- (+ 1/2 (/ (pow (+ 1 (* -1 z)) 2) (+ 2 (* -1 z)))) (/ 1 (+ 2 (* -1 z)))))) (sqrt 2))))
(.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (+.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) z))))) (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (+.f64 z #s(literal -15/2 binary64)))) (sqrt.f64 (PI.f64))))

eval2.4s (1.6%)

Memory: 35.3MiB live, 2 959.7MiB allocated
Compiler: Compiled 800 664 to 25 712 computations (96.8% saved)

prune1.2s (0.8%)

Memory

40.3MiB live, 2 626.5MiB allocated

Pruning

35 alts after pruning (35 fresh and 0 done)

	Pruned	Kept	Total
New	6 254	32	6 286
Fresh	15	3	18
Picked	5	0	5
Done	0	0	0
Total	6 274	35	6 309

Accuracy

99.7%

Counts

6 309 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.4%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))) (.f64 (exp.f64 (+.f64 #s(literal -1 binary64) (+.f64 z #s(literal -13/2 binary64)))) (+.f64 (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 479507597606835099/10000000000000000 binary64) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 23912966683069397/40000000000000 binary64) #s(literal 2076511864126339/4000000000000 binary64)) #s(literal 904338909853211/2500000000000 binary64)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 4 binary64))))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 5 binary64))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 7 binary64))))))))))
	96.5%	(.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)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (+.f64 z #s(literal -15/2 binary64)))) (sqrt.f64 (PI.f64)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 23912966683069397/40000000000000 binary64) #s(literal 2076511864126339/4000000000000 binary64)) #s(literal 904338909853211/2500000000000 binary64)) #s(literal 479507597606835099/10000000000000000 binary64)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
	96.5%	(.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)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 (+.f64 #s(literal -1 binary64) (+.f64 z #s(literal -13/2 binary64)))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 23912966683069397/40000000000000 binary64) #s(literal 2076511864126339/4000000000000 binary64)) #s(literal 904338909853211/2500000000000 binary64)) #s(literal 479507597606835099/10000000000000000 binary64)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
	96.6%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 (+.f64 #s(literal -1 binary64) (+.f64 z #s(literal -13/2 binary64)))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
	96.6%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 (+.f64 #s(literal -1 binary64) (+.f64 z #s(literal -13/2 binary64)))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 #s(literal 0 binary64) z) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
	96.6%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (/.f64 (*.f64 (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64))) (sqrt.f64 (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 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
	97.4%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (+.f64 (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 479507597606835099/10000000000000000 binary64) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 23912966683069397/40000000000000 binary64) #s(literal 2076511864126339/4000000000000 binary64)) #s(literal 904338909853211/2500000000000 binary64)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 4 binary64))))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 5 binary64))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 7 binary64)))))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))) (exp.f64 (+.f64 #s(literal -1 binary64) (+.f64 z #s(literal -13/2 binary64))))))
	95.9%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (+.f64 (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 479507597606835099/10000000000000000 binary64) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 23912966683069397/40000000000000 binary64) #s(literal 2076511864126339/4000000000000 binary64)) #s(literal 904338909853211/2500000000000 binary64)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 4 binary64))))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 5 binary64))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 7 binary64)))))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))) (exp.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) z) (log.f64 (-.f64 #s(literal 15/2 binary64) z)) #s(literal 0 binary64)) (-.f64 #s(literal 15/2 binary64) z)))))
	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 #s(literal 3/2 binary64) (+.f64 #s(literal 1 binary64) z)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 23912966683069397/40000000000000 binary64) #s(literal 2076511864126339/4000000000000 binary64)) #s(literal 904338909853211/2500000000000 binary64)) #s(literal 479507597606835099/10000000000000000 binary64)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
	96.6%	(.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 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)) (fma.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (/.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 225/4 binary64)) (-.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) #s(literal 15/2 binary64)))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
	96.5%	(.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 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)) (fma.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 6765203681218851/10000000000000 binary64) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
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▶	99.3%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (fma.f64 (+.f64 (-.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 (+.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 2 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))))))
	22.2%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (fma.f64 (+.f64 (-.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 (+.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))))))
	94.7%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (PI.f64)) (.f64 (exp.f64 #s(literal -15/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (fma.f64 z (fma.f64 z #s(literal 2076511864126339/4000000000000 binary64) #s(literal 904338909853211/2500000000000 binary64)) #s(literal 479507597606835099/10000000000000000 binary64)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
	94.6%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (PI.f64)) (.f64 (exp.f64 #s(literal -15/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (fma.f64 z #s(literal 904338909853211/2500000000000 binary64) #s(literal 479507597606835099/10000000000000000 binary64)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
	3.2%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (PI.f64)) (.f64 (exp.f64 #s(literal -15/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal -1 binary64) z) (-.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
	4.5%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (PI.f64)) (.f64 (exp.f64 #s(literal -15/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 0 binary64) z))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
	94.8%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (PI.f64)) (.f64 (exp.f64 #s(literal -15/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 479507597606835099/10000000000000000 binary64) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
	96.8%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (exp.f64 (+.f64 z #s(literal -15/2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
▶	94.7%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (PI.f64)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (.f64 (exp.f64 #s(literal -15/2 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))))

Compiler

Compiled 7 412 to 4 226 computations (43% saved)

simplify341.0ms (0.2%)

Memory

9.0MiB live, 670.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	192	(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64))
✓	cost-diff	192	(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
✓	cost-diff	192	(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64))
✓	cost-diff	192	(+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))
✓	cost-diff	192	(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64))
✓	cost-diff	192	(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
✓	cost-diff	192	(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64))
✓	cost-diff	192	(+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))
✓	cost-diff	192	(+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 4 binary64))
✓	cost-diff	192	(+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))
✓	cost-diff	192	(+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))
✓	cost-diff	192	(+.f64 #s(literal -1 binary64) (+.f64 z #s(literal -13/2 binary64)))
✓	cost-diff	0	(sin.f64 (*.f64 (PI.f64) z))
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
✓	cost-diff	0	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (PI.f64)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (.f64 (exp.f64 #s(literal -15/2 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))))
✓	cost-diff	192	(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64))
✓	cost-diff	192	(-.f64 #s(literal 0 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)))
✓	cost-diff	192	(+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64))
✓	cost-diff	192	(+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64))

Rules

5 774×	`accelerator-lowering-fma.f32`
5 774×	`accelerator-lowering-fma.f64`
5 238×	`-lowering-.f32`
5 238×	`-lowering-.f64`
4 314×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	152	2741
1	447	2230
2	1912	2221
3	5962	2221
0	8413	2160

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (/ (PI) (sin (* (PI) z))) (* (* (sqrt (PI)) (* (sqrt 2) (exp (+ (* (+ (- 1 z) -1/2) (log (+ (- 1 z) 13/2))) (- 0 (+ (- 1 z) 13/2)))))) (+ (+ (+ (+ (+ (+ (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (/ -3147848041806007/2500000000000 (- 2 z))) 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)) (* (sqrt 2) (exp (+ (* (+ (- 1 z) -1/2) (log (+ (- 1 z) 13/2))) (- 0 (+ (- 1 z) 13/2)))))) (+ (+ (+ (+ (+ (+ (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (/ -3147848041806007/2500000000000 (- 2 z))) 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)) (* (sqrt 2) (exp (+ (* (+ (- 1 z) -1/2) (log (+ (- 1 z) 13/2))) (- 0 (+ (- 1 z) 13/2))))))
(sqrt (PI))
(* (sqrt 2) (exp (+ (* (+ (- 1 z) -1/2) (log (+ (- 1 z) 13/2))) (- 0 (+ (- 1 z) 13/2)))))
(sqrt 2)
2
(exp (+ (* (+ (- 1 z) -1/2) (log (+ (- 1 z) 13/2))) (- 0 (+ (- 1 z) 13/2))))
(+ (* (+ (- 1 z) -1/2) (log (+ (- 1 z) 13/2))) (- 0 (+ (- 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
(+ (+ (+ (+ (+ (+ (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (/ -3147848041806007/2500000000000 (- 2 z))) 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)))
(+ (+ (+ (+ (+ (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (/ -3147848041806007/2500000000000 (- 2 z))) 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)))
(+ (+ (+ (+ (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (/ -3147848041806007/2500000000000 (- 2 z))) 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)))
(+ (+ (+ (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (/ -3147848041806007/2500000000000 (- 2 z))) 9999999999998099/10000000000000000) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5)))
(+ (+ (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (/ -3147848041806007/2500000000000 (- 2 z))) 9999999999998099/10000000000000000) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4)))
(+ (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (/ -3147848041806007/2500000000000 (- 2 z))) 9999999999998099/10000000000000000) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3)))
(+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (/ -3147848041806007/2500000000000 (- 2 z))) 9999999999998099/10000000000000000)
(+ (/ 6765203681218851/10000000000000 (- 1 z)) (/ -3147848041806007/2500000000000 (- 2 z)))
(/ 6765203681218851/10000000000000 (- 1 z))
6765203681218851/10000000000000
(/ -3147848041806007/2500000000000 (- 2 z))
-3147848041806007/2500000000000
(- 2 z)
9999999999998099/10000000000000000
(/ 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
(* (/ (PI) (sin (* (PI) z))) (* (sqrt (PI)) (* (* (sqrt 2) (sqrt 15/2)) (* (exp -15/2) 1106209385320415913103082059/4200000000000000000000000))))
(/ (PI) (sin (* (PI) z)))
(PI)
(sin (* (PI) z))
(* (PI) z)
z
(* (sqrt (PI)) (* (* (sqrt 2) (sqrt 15/2)) (* (exp -15/2) 1106209385320415913103082059/4200000000000000000000000)))
(sqrt (PI))
(* (* (sqrt 2) (sqrt 15/2)) (* (exp -15/2) 1106209385320415913103082059/4200000000000000000000000))
(* (sqrt 2) (sqrt 15/2))
(sqrt 2)
2
(sqrt 15/2)
15/2
(* (exp -15/2) 1106209385320415913103082059/4200000000000000000000000)
(exp -15/2)
-15/2
1106209385320415913103082059/4200000000000000000000000
(* (/ (PI) (sin (* (PI) z))) (* (pow (- 15/2 z) (- 1/2 z)) (* (sqrt (* 2 (PI))) (* (exp (+ -1 (+ z -13/2))) (+ (+ (/ -883075145810703/5000000000000 (+ (- 1 z) 3)) (+ (+ 479507597606835099/10000000000000000 (+ (* z (+ (* z (+ (* z 23912966683069397/40000000000000) 2076511864126339/4000000000000)) 904338909853211/2500000000000)) (/ 7713234287776531/10000000000000 (+ (- 1 z) 2)))) (/ 2501468655737381/200000000000000 (+ (- 1 z) 4)))) (+ (/ -3464277381643003/25000000000000000 (+ (- 1 z) 5)) (+ (/ 2496092394504893/250000000000000000000 (+ (- 1 z) 6)) (/ 3764081837873279/25000000000000000000000 (+ (- 1 z) 7)))))))))
(/ (PI) (sin (* (PI) z)))
(PI)
(sin (* (PI) z))
(* (PI) z)
z
(* (pow (- 15/2 z) (- 1/2 z)) (* (sqrt (* 2 (PI))) (* (exp (+ -1 (+ z -13/2))) (+ (+ (/ -883075145810703/5000000000000 (+ (- 1 z) 3)) (+ (+ 479507597606835099/10000000000000000 (+ (* z (+ (* z (+ (* z 23912966683069397/40000000000000) 2076511864126339/4000000000000)) 904338909853211/2500000000000)) (/ 7713234287776531/10000000000000 (+ (- 1 z) 2)))) (/ 2501468655737381/200000000000000 (+ (- 1 z) 4)))) (+ (/ -3464277381643003/25000000000000000 (+ (- 1 z) 5)) (+ (/ 2496092394504893/250000000000000000000 (+ (- 1 z) 6)) (/ 3764081837873279/25000000000000000000000 (+ (- 1 z) 7))))))))
(pow (- 15/2 z) (- 1/2 z))
(- 15/2 z)
15/2
(- 1/2 z)
1/2
(* (sqrt (* 2 (PI))) (* (exp (+ -1 (+ z -13/2))) (+ (+ (/ -883075145810703/5000000000000 (+ (- 1 z) 3)) (+ (+ 479507597606835099/10000000000000000 (+ (* z (+ (* z (+ (* z 23912966683069397/40000000000000) 2076511864126339/4000000000000)) 904338909853211/2500000000000)) (/ 7713234287776531/10000000000000 (+ (- 1 z) 2)))) (/ 2501468655737381/200000000000000 (+ (- 1 z) 4)))) (+ (/ -3464277381643003/25000000000000000 (+ (- 1 z) 5)) (+ (/ 2496092394504893/250000000000000000000 (+ (- 1 z) 6)) (/ 3764081837873279/25000000000000000000000 (+ (- 1 z) 7)))))))
(sqrt (* 2 (PI)))
(* 2 (PI))
2
(* (exp (+ -1 (+ z -13/2))) (+ (+ (/ -883075145810703/5000000000000 (+ (- 1 z) 3)) (+ (+ 479507597606835099/10000000000000000 (+ (* z (+ (* z (+ (* z 23912966683069397/40000000000000) 2076511864126339/4000000000000)) 904338909853211/2500000000000)) (/ 7713234287776531/10000000000000 (+ (- 1 z) 2)))) (/ 2501468655737381/200000000000000 (+ (- 1 z) 4)))) (+ (/ -3464277381643003/25000000000000000 (+ (- 1 z) 5)) (+ (/ 2496092394504893/250000000000000000000 (+ (- 1 z) 6)) (/ 3764081837873279/25000000000000000000000 (+ (- 1 z) 7))))))
(exp (+ -1 (+ z -13/2)))
(+ -1 (+ z -13/2))
-1
(+ z -13/2)
-13/2
(+ (+ (/ -883075145810703/5000000000000 (+ (- 1 z) 3)) (+ (+ 479507597606835099/10000000000000000 (+ (* z (+ (* z (+ (* z 23912966683069397/40000000000000) 2076511864126339/4000000000000)) 904338909853211/2500000000000)) (/ 7713234287776531/10000000000000 (+ (- 1 z) 2)))) (/ 2501468655737381/200000000000000 (+ (- 1 z) 4)))) (+ (/ -3464277381643003/25000000000000000 (+ (- 1 z) 5)) (+ (/ 2496092394504893/250000000000000000000 (+ (- 1 z) 6)) (/ 3764081837873279/25000000000000000000000 (+ (- 1 z) 7)))))
(+ (/ -883075145810703/5000000000000 (+ (- 1 z) 3)) (+ (+ 479507597606835099/10000000000000000 (+ (* z (+ (* z (+ (* z 23912966683069397/40000000000000) 2076511864126339/4000000000000)) 904338909853211/2500000000000)) (/ 7713234287776531/10000000000000 (+ (- 1 z) 2)))) (/ 2501468655737381/200000000000000 (+ (- 1 z) 4))))
(/ -883075145810703/5000000000000 (+ (- 1 z) 3))
-883075145810703/5000000000000
(+ (- 1 z) 3)
(- 1 z)
1
3
(+ (+ 479507597606835099/10000000000000000 (+ (* z (+ (* z (+ (* z 23912966683069397/40000000000000) 2076511864126339/4000000000000)) 904338909853211/2500000000000)) (/ 7713234287776531/10000000000000 (+ (- 1 z) 2)))) (/ 2501468655737381/200000000000000 (+ (- 1 z) 4)))
(+ 479507597606835099/10000000000000000 (+ (* z (+ (* z (+ (* z 23912966683069397/40000000000000) 2076511864126339/4000000000000)) 904338909853211/2500000000000)) (/ 7713234287776531/10000000000000 (+ (- 1 z) 2))))
479507597606835099/10000000000000000
(+ (* z (+ (* z (+ (* z 23912966683069397/40000000000000) 2076511864126339/4000000000000)) 904338909853211/2500000000000)) (/ 7713234287776531/10000000000000 (+ (- 1 z) 2)))
(+ (* z (+ (* z 23912966683069397/40000000000000) 2076511864126339/4000000000000)) 904338909853211/2500000000000)
(+ (* z 23912966683069397/40000000000000) 2076511864126339/4000000000000)
23912966683069397/40000000000000
2076511864126339/4000000000000
904338909853211/2500000000000
(/ 7713234287776531/10000000000000 (+ (- 1 z) 2))
7713234287776531/10000000000000
(+ (- 1 z) 2)
(/ 2501468655737381/200000000000000 (+ (- 1 z) 4))
2501468655737381/200000000000000
(+ (- 1 z) 4)
4
(+ (/ -3464277381643003/25000000000000000 (+ (- 1 z) 5)) (+ (/ 2496092394504893/250000000000000000000 (+ (- 1 z) 6)) (/ 3764081837873279/25000000000000000000000 (+ (- 1 z) 7))))
(/ -3464277381643003/25000000000000000 (+ (- 1 z) 5))
-3464277381643003/25000000000000000
(+ (- 1 z) 5)
5
(+ (/ 2496092394504893/250000000000000000000 (+ (- 1 z) 6)) (/ 3764081837873279/25000000000000000000000 (+ (- 1 z) 7)))
(/ 2496092394504893/250000000000000000000 (+ (- 1 z) 6))
2496092394504893/250000000000000000000
(+ (- 1 z) 6)
6
(/ 3764081837873279/25000000000000000000000 (+ (- 1 z) 7))
3764081837873279/25000000000000000000000
(+ (- 1 z) 7)
7
(* (/ (PI) (sin (* (PI) z))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (- (+ 1/2 (- 1 z)) -6)))) (+ (+ (+ (+ (+ (+ (+ (* z (+ (* z (+ (* z 23912966683069397/40000000000000) 2076511864126339/4000000000000)) 904338909853211/2500000000000)) 479507597606835099/10000000000000000) (/ 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 (- (+ 1/2 (- 1 z)) -6)))) (+ (+ (+ (+ (+ (+ (+ (* z (+ (* z (+ (* z 23912966683069397/40000000000000) 2076511864126339/4000000000000)) 904338909853211/2500000000000)) 479507597606835099/10000000000000000) (/ 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 (- (+ 1/2 (- 1 z)) -6))))
(* (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 (- (+ 1/2 (- 1 z)) -6)))
(neg (- (+ 1/2 (- 1 z)) -6))
(- (+ 1/2 (- 1 z)) -6)
(+ 1/2 (- 1 z))
-6
(+ (+ (+ (+ (+ (+ (+ (* z (+ (* z (+ (* z 23912966683069397/40000000000000) 2076511864126339/4000000000000)) 904338909853211/2500000000000)) 479507597606835099/10000000000000000) (/ 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)))
(+ (+ (+ (+ (+ (+ (* z (+ (* z (+ (* z 23912966683069397/40000000000000) 2076511864126339/4000000000000)) 904338909853211/2500000000000)) 479507597606835099/10000000000000000) (/ 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)))
(+ (+ (+ (+ (+ (* z (+ (* z (+ (* z 23912966683069397/40000000000000) 2076511864126339/4000000000000)) 904338909853211/2500000000000)) 479507597606835099/10000000000000000) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6)))
(+ (+ (+ (+ (* z (+ (* z (+ (* z 23912966683069397/40000000000000) 2076511864126339/4000000000000)) 904338909853211/2500000000000)) 479507597606835099/10000000000000000) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5)))
(+ (+ (+ (* z (+ (* z (+ (* z 23912966683069397/40000000000000) 2076511864126339/4000000000000)) 904338909853211/2500000000000)) 479507597606835099/10000000000000000) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4)))
(+ (+ (* z (+ (* z (+ (* z 23912966683069397/40000000000000) 2076511864126339/4000000000000)) 904338909853211/2500000000000)) 479507597606835099/10000000000000000) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3)))
(+ (* z (+ (* z (+ (* z 23912966683069397/40000000000000) 2076511864126339/4000000000000)) 904338909853211/2500000000000)) 479507597606835099/10000000000000000)
(+ (* z (+ (* z 23912966683069397/40000000000000) 2076511864126339/4000000000000)) 904338909853211/2500000000000)
(+ (* z 23912966683069397/40000000000000) 2076511864126339/4000000000000)
23912966683069397/40000000000000
2076511864126339/4000000000000
904338909853211/2500000000000
479507597606835099/10000000000000000
(/ 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)))) (+ (+ (+ (+ (+ (+ (+ (* (/ 1 (- 1 z)) 6765203681218851/10000000000000) (+ 9999999999998099/10000000000000000 (/ -3147848041806007/2500000000000 (- 2 z)))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 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)))) (+ (+ (+ (+ (+ (+ (+ (* (/ 1 (- 1 z)) 6765203681218851/10000000000000) (+ 9999999999998099/10000000000000000 (/ -3147848041806007/2500000000000 (- 2 z)))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 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))
(+ (+ (+ (+ (+ (+ (+ (* (/ 1 (- 1 z)) 6765203681218851/10000000000000) (+ 9999999999998099/10000000000000000 (/ -3147848041806007/2500000000000 (- 2 z)))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))
(+ (+ (+ (+ (+ (+ (* (/ 1 (- 1 z)) 6765203681218851/10000000000000) (+ 9999999999998099/10000000000000000 (/ -3147848041806007/2500000000000 (- 2 z)))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7)))
(+ (+ (+ (+ (+ (* (/ 1 (- 1 z)) 6765203681218851/10000000000000) (+ 9999999999998099/10000000000000000 (/ -3147848041806007/2500000000000 (- 2 z)))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6)))
(+ (+ (+ (+ (* (/ 1 (- 1 z)) 6765203681218851/10000000000000) (+ 9999999999998099/10000000000000000 (/ -3147848041806007/2500000000000 (- 2 z)))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5)))
(+ (+ (+ (* (/ 1 (- 1 z)) 6765203681218851/10000000000000) (+ 9999999999998099/10000000000000000 (/ -3147848041806007/2500000000000 (- 2 z)))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4)))
(+ (+ (* (/ 1 (- 1 z)) 6765203681218851/10000000000000) (+ 9999999999998099/10000000000000000 (/ -3147848041806007/2500000000000 (- 2 z)))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3)))
(+ (* (/ 1 (- 1 z)) 6765203681218851/10000000000000) (+ 9999999999998099/10000000000000000 (/ -3147848041806007/2500000000000 (- 2 z))))
(/ 1 (- 1 z))
6765203681218851/10000000000000
(+ 9999999999998099/10000000000000000 (/ -3147848041806007/2500000000000 (- 2 z)))
9999999999998099/10000000000000000
(/ -3147848041806007/2500000000000 (- 2 z))
-3147848041806007/2500000000000
(- 2 z)
(/ 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)) (* (sqrt 2) (exp (+ (* (+ (- 1 z) -1/2) (log (+ (- 1 z) 13/2))) (- 0 (+ (- 1 z) 13/2)))))) (+ (+ (+ (+ (+ (+ (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (/ -3147848041806007/2500000000000 (- 2 z))) 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)))))
(.f64 (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)) (+.f64 (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (+.f64 (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (+.f64 (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))) #s(literal 9999999999998099/10000000000000000 binary64))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)))))) (.f64 (PI.f64) (/.f64 (.f64 (exp.f64 (fma.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 (sqrt.f64 (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 (*.f64 (PI.f64) 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)) (* (sqrt 2) (exp (+ (* (+ (- 1 z) -1/2) (log (+ (- 1 z) 13/2))) (- 0 (+ (- 1 z) 13/2)))))) (+ (+ (+ (+ (+ (+ (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (/ -3147848041806007/2500000000000 (- 2 z))) 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))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (+.f64 z #s(literal -15/2 binary64))))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)) (+.f64 (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (+.f64 (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (+.f64 (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))) #s(literal 9999999999998099/10000000000000000 binary64))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))))))))
(* (sqrt (PI)) (* (sqrt 2) (exp (+ (* (+ (- 1 z) -1/2) (log (+ (- 1 z) 13/2))) (- 0 (+ (- 1 z) 13/2))))))
(.f64 (exp.f64 (fma.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 (sqrt.f64 (PI.f64)) (sqrt.f64 #s(literal 2 binary64))))
(sqrt (PI))
(sqrt.f64 (PI.f64))
(* (sqrt 2) (exp (+ (* (+ (- 1 z) -1/2) (log (+ (- 1 z) 13/2))) (- 0 (+ (- 1 z) 13/2)))))
(.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (+.f64 z #s(literal -15/2 binary64)))))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(exp (+ (* (+ (- 1 z) -1/2) (log (+ (- 1 z) 13/2))) (- 0 (+ (- 1 z) 13/2))))
(exp.f64 (fma.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))) (- 0 (+ (- 1 z) 13/2)))
(fma.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)
(-.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))
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(/.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)
(* (/ (PI) (sin (* (PI) z))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (* (/ 1 (- 1 z)) 6765203681218851/10000000000000) (+ 9999999999998099/10000000000000000 (/ -3147848041806007/2500000000000 (- 2 z)))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (exp.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) z) (log.f64 (-.f64 #s(literal 15/2 binary64) z)) (+.f64 z #s(literal -15/2 binary64)))) (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)) (+.f64 (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (+.f64 (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (+.f64 (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))) #s(literal 9999999999998099/10000000000000000 binary64))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 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)))) (+ (+ (+ (+ (+ (+ (+ (* (/ 1 (- 1 z)) 6765203681218851/10000000000000) (+ 9999999999998099/10000000000000000 (/ -3147848041806007/2500000000000 (- 2 z)))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))
(.f64 (.f64 (exp.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) z) (log.f64 (-.f64 #s(literal 15/2 binary64) z)) (+.f64 z #s(literal -15/2 binary64)))) (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)) (+.f64 (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (+.f64 (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (+.f64 (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))) #s(literal 9999999999998099/10000000000000000 binary64))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 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 (exp.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) z) (log.f64 (-.f64 #s(literal 15/2 binary64) z)) (+.f64 z #s(literal -15/2 binary64)))) (sqrt.f64 (.f64 (PI.f64) #s(literal 2 binary64))))
(* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2)))
(.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (sqrt.f64 (.f64 (PI.f64) #s(literal 2 binary64))))
(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))
(+ (+ (+ (+ (+ (+ (+ (* (/ 1 (- 1 z)) 6765203681218851/10000000000000) (+ 9999999999998099/10000000000000000 (/ -3147848041806007/2500000000000 (- 2 z)))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 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 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)) (+.f64 (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (+.f64 (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (+.f64 (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))) #s(literal 9999999999998099/10000000000000000 binary64))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))))))
(+ (+ (+ (+ (+ (+ (* (/ 1 (- 1 z)) 6765203681218851/10000000000000) (+ 9999999999998099/10000000000000000 (/ -3147848041806007/2500000000000 (- 2 z)))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -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 (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (+.f64 (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (+.f64 (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))) #s(literal 9999999999998099/10000000000000000 binary64))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 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))))
(+ (+ (+ (+ (+ (* (/ 1 (- 1 z)) 6765203681218851/10000000000000) (+ 9999999999998099/10000000000000000 (/ -3147848041806007/2500000000000 (- 2 z)))) (/ 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 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (+.f64 (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (+.f64 (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))) #s(literal 9999999999998099/10000000000000000 binary64)))))
(+ (+ (+ (+ (* (/ 1 (- 1 z)) 6765203681218851/10000000000000) (+ 9999999999998099/10000000000000000 (/ -3147848041806007/2500000000000 (- 2 z)))) (/ 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 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (+.f64 (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))) #s(literal 9999999999998099/10000000000000000 binary64))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))))
(+ (+ (+ (* (/ 1 (- 1 z)) 6765203681218851/10000000000000) (+ 9999999999998099/10000000000000000 (/ -3147848041806007/2500000000000 (- 2 z)))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4)))
(+.f64 (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)))))
(+ (+ (* (/ 1 (- 1 z)) 6765203681218851/10000000000000) (+ 9999999999998099/10000000000000000 (/ -3147848041806007/2500000000000 (- 2 z)))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3)))
(+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)))))
(+ (* (/ 1 (- 1 z)) 6765203681218851/10000000000000) (+ 9999999999998099/10000000000000000 (/ -3147848041806007/2500000000000 (- 2 z))))
(+.f64 (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))) #s(literal 9999999999998099/10000000000000000 binary64))
(/ 1 (- 1 z))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z))
6765203681218851/10000000000000
#s(literal 6765203681218851/10000000000000 binary64)
(+ 9999999999998099/10000000000000000 (/ -3147848041806007/2500000000000 (- 2 z)))
(+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64))
9999999999998099/10000000000000000
#s(literal 9999999999998099/10000000000000000 binary64)
(/ -3147848041806007/2500000000000 (- 2 z))
(/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))
-3147848041806007/2500000000000
#s(literal -3147848041806007/2500000000000 binary64)
(- 2 z)
(-.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)

localize1.9min (74.6%)

Memory

19.8MiB live, 2 414.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.4%	(sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))
✓	accuracy	97.9%	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (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%	(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 6765203681218851/10000000000000 binary64) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))))
✓	accuracy	10.4%	(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
✓	accuracy	98.5%	(.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 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal -6 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 23912966683069397/40000000000000 binary64) #s(literal 2076511864126339/4000000000000 binary64)) #s(literal 904338909853211/2500000000000 binary64)) #s(literal 479507597606835099/10000000000000000 binary64)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64)))))
✓	accuracy	98.4%	(sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))
✓	accuracy	97.9%	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal -6 binary64)))))
✓	accuracy	10.4%	(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
✓	accuracy	98.5%	(+.f64 (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 479507597606835099/10000000000000000 binary64) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 23912966683069397/40000000000000 binary64) #s(literal 2076511864126339/4000000000000 binary64)) #s(literal 904338909853211/2500000000000 binary64)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 4 binary64))))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 5 binary64))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 7 binary64))))))
✓	accuracy	98.5%	(/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))
✓	accuracy	98.5%	(+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 479507597606835099/10000000000000000 binary64) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 23912966683069397/40000000000000 binary64) #s(literal 2076511864126339/4000000000000 binary64)) #s(literal 904338909853211/2500000000000 binary64)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 4 binary64)))))
✓	accuracy	98.4%	(sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))
✓	accuracy	99.6%	(sin.f64 (*.f64 (PI.f64) z))
✓	accuracy	99.6%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (PI.f64)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (.f64 (exp.f64 #s(literal -15/2 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))))
✓	accuracy	99.5%	(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
✓	accuracy	98.4%	(sqrt.f64 (PI.f64))
✓	accuracy	98.4%	(sqrt.f64 (PI.f64))
✓	accuracy	98.4%	(+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)))
✓	accuracy	97.6%	(exp.f64 (fma.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)) (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)))))
✓	accuracy	10.4%	(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))

Samples

33.0s	160×	1	valid
14.3s	26×	0	valid
291.0ms	70×	2	valid

Compiler

Compiled 3 084 to 154 computations (95% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.2s

ival-add: 18.5s (55.8% of total)

const: 14.3s (43.1% of total)

ival-mult: 91.0ms (0.3% of total)

adjust: 88.0ms (0.3% of total)

ival-div: 60.0ms (0.2% of total)

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

ival-pow: 27.0ms (0.1% of total)

ival-sub: 18.0ms (0.1% of total)

ival-sqrt: 14.0ms (0% of total)

ival-log: 8.0ms (0% of total)

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

ival-sin: 4.0ms (0% of total)

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

exact: 2.0ms (0% of total)

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

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

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze659.0ms (0.4%)

sample27.3s (17.7%)

preprocess383.0ms (0.2%)

explain1.6s (1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify321.0ms (0.2%)

localize507.0ms (0.3%)

series25.0ms (0%)

rewrite452.0ms (0.3%)

simplify450.0ms (0.3%)

eval323.0ms (0.2%)

prune336.0ms (0.2%)

simplify266.0ms (0.2%)

localize1.3s (0.8%)

series29.0ms (0%)

rewrite732.0ms (0.5%)

simplify700.0ms (0.5%)

eval2.4s (1.6%)

prune1.2s (0.8%)

simplify341.0ms (0.2%)

localize1.9min (74.6%)

end0.0ms (0%)

Profiling