Metrics for Diagrams.Solve.Polynomial:cubForm from diagrams-solve-0.1, D

start0.0ms (0%)

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

analyze431.0ms (3.4%)

Memory

10.8MiB live, 337.0MiB allocated; 41ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
0%	0%	99.8%	0.2%	0%	0%	0%	1
0%	0%	99.8%	0.2%	0%	0%	0%	2
0%	0%	99.8%	0.2%	0%	0%	0%	3
0%	0%	99.8%	0.2%	0%	0%	0%	4
0%	0%	99.8%	0.2%	0%	0%	0%	5
0%	0%	99.8%	0.2%	0%	0%	0%	6
0%	0%	99.8%	0.2%	0%	0%	0%	7
0%	0%	99.8%	0.2%	0%	0%	0%	8
4.2%	3.1%	71.7%	0.2%	0%	25%	0%	9
4.2%	3.1%	71.3%	0.2%	0%	25.3%	0%	10
6.3%	4.7%	69.2%	0.2%	0%	25.9%	0%	11
9.2%	6.6%	65.8%	0.2%	0%	27.4%	0%	12

Compiler

Compiled 21 to 20 computations (4.8% saved)

sample5.8s (46.5%)

Memory

72.1MiB live, 6 747.5MiB allocated; 1.5s collecting garbage

Samples

2.7s	15 366×	0	invalid
1.5s	8 256×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 2.7s

ival-mult: 1.2s (47% of total)

ival-div: 798.0ms (30.1% of total)

ival-sqrt: 300.0ms (11.3% of total)

ival-acos: 227.0ms (8.6% of total)

exact: 46.0ms (1.7% of total)

ival-true: 19.0ms (0.7% of total)

ival-assert: 10.0ms (0.4% of total)

adjust: 8.0ms (0.3% of total)

Bogosity

explain227.0ms (1.8%)

Memory

2.1MiB live, 528.1MiB allocated; 40ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
26	0	-	4	(-6.406921392239569e-239 -1.2938503059350007e-40 1.8829466054102262e+112 1.1874758158154626e+159)	`(.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t))`
20	1	(-2.2186784029178242e-303 -1.2303508052758011e+210 -2.329142227529551e-191 7.988913231855995e+42)	0	-	`(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))`
1	0	-	0	-	`(/.f64 x (*.f64 y #s(literal 27 binary64)))`
0	0	-	0	-	`t`
0	0	-	0	-	`#s(literal 3 binary64)`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))`
0	0	-	0	-	`(*.f64 y #s(literal 27 binary64))`
0	0	-	0	-	`y`
0	0	-	0	-	`#s(literal 27 binary64)`
0	0	-	0	-	`z`
0	0	-	0	-	`(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))`
0	0	-	0	-	`(acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))`
0	0	-	0	-	`#s(literal 2 binary64)`
0	0	-	0	-	`(*.f64 z #s(literal 2 binary64))`
0	0	-	0	-	`(sqrt.f64 t)`
0	0	-	0	-	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))`
0	0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`*.f64`	`(.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t))`	*nu**	22	0
`/.f64`	`(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))`	u/n	19	0
↳	`(/.f64 x (*.f64 y #s(literal 27 binary64)))`	underflow	69
↳	`(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))`	underflow	69
`/.f64`	`(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))`	o/n	2	0
↳	`(*.f64 y #s(literal 27 binary64))`	overflow	2
↳	`(/.f64 x (*.f64 y #s(literal 27 binary64)))`	overflow	1
↳	`(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))`	overflow	2
`/.f64`	`(/.f64 x (*.f64 y #s(literal 27 binary64)))`	n/o	1	0
↳	`(*.f64 y #s(literal 27 binary64))`	overflow	2

Confusion

	Predicted +	Predicted -
+	2	0
-	42	212

Precision

0.045454545454545456

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	2	0	0
-	42	0	212

Precision?

0.045454545454545456

Recall?

1.0

Freqs

test

number	freq
0	212
1	44

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

92.0ms

512×

valid

Compiler

Compiled 203 to 58 computations (71.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 67.0ms

ival-mult: 43.0ms (64.6% of total)

ival-div: 14.0ms (21% of total)

ival-sqrt: 4.0ms (6% of total)

ival-acos: 4.0ms (6% of total)

exact: 1.0ms (1.5% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess257.0ms (2%)

Memory

34.2MiB live, 266.6MiB allocated; 37ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	89	246
1	259	212
2	897	184
3	3309	184
4	3881	184
5	4428	184
6	5423	184
7	7558	184
8	7773	184
9	7913	184
0	18	17
0	29	17
1	50	15
2	129	13
3	401	13
4	1320	13
5	2813	13
6	3117	13
7	3806	13
0	8352	13

Stop Event

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

Calls

Call 1

Inputs

(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))

Outputs

(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))

(*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) #s(literal 1/3 binary64))

Symmetry

(sort y z)

Compiler

Compiled 19 to 18 computations (5.3% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 4 computations (-∞% saved)

prune1.0ms (0%)

Memory

2.5MiB live, 2.5MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.3%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))

Status

Accuracy

Program

▶

97.3%

(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))

Compiler

Compiled 19 to 18 computations (5.3% saved)

simplify154.0ms (1.2%)

Memory

-5.4MiB live, 180.5MiB allocated; 66ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
cost-diff	2	(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))
cost-diff	2	(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
cost-diff	2	(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	86
0	29	86
1	50	76
2	129	68
3	401	68
4	1320	68
5	2813	68
6	3117	68
7	3806	68
0	8352	68

Stop Event

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

Calls

Call 1

Inputs
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(literal 1 binary64)
#s(literal 3 binary64)
(acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
(.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))
(/.f64 x (*.f64 y #s(literal 27 binary64)))
x
(*.f64 y #s(literal 27 binary64))
y
#s(literal 27 binary64)
(*.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
(sqrt.f64 t)
t

Outputs
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(.f64 (acos.f64 (.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) #s(literal 1/3 binary64))
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(literal 1/3 binary64)
#s(literal 1 binary64)
#s(literal 3 binary64)
(acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
(acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y)))
(.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
(.f64 (.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))
(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 x y))
(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))
(*.f64 (/.f64 #s(literal 1/9 binary64) y) x)
(/.f64 x (*.f64 y #s(literal 27 binary64)))
(/.f64 x (*.f64 #s(literal 27 binary64) y))
x
(*.f64 y #s(literal 27 binary64))
(*.f64 #s(literal 27 binary64) y)
y
#s(literal 27 binary64)
(*.f64 z #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) z)
z
#s(literal 2 binary64)
(sqrt.f64 t)
t

localize69.0ms (0.6%)

Memory

19.5MiB live, 65.1MiB allocated; 8ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.6650695551335157	(/.f64 x (*.f64 y #s(literal 27 binary64)))
accuracy	0.97265625	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
accuracy	3.08387884224556	(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
accuracy	5.619973870972315	(.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t))

Samples

59.0ms

256×

valid

Compiler

Compiled 92 to 20 computations (78.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-mult: 7.0ms (41.4% of total)

ival-div: 5.0ms (29.6% of total)

ival-sqrt: 2.0ms (11.8% of total)

ival-acos: 2.0ms (11.8% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series33.0ms (0.3%)

Memory

7.2MiB live, 51.2MiB allocated; 10ms collecting garbage

Counts

6 → 7

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
(/.f64 x (*.f64 y #s(literal 27 binary64)))

Outputs
(* 1/18 (/ x (* y z)))
(* 1/9 (/ x y))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/27 (/ x y))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))

Calls

12 calls:

Time	Variable		Point	Expression
8.0ms	x	@	inf	((/ 1 3) (/ (* 3 (/ x (* y 27))) (* z 2)) (* 3 (/ x (* y 27))) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (/ x (* y 27)))
5.0ms	t	@	-inf	((/ 1 3) (/ (* 3 (/ x (* y 27))) (* z 2)) (* 3 (/ x (* y 27))) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (/ x (* y 27)))
4.0ms	y	@	0	((/ 1 3) (/ (* 3 (/ x (* y 27))) (* z 2)) (* 3 (/ x (* y 27))) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (/ x (* y 27)))
3.0ms	x	@	0	((/ 1 3) (/ (* 3 (/ x (* y 27))) (* z 2)) (* 3 (/ x (* y 27))) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (/ x (* y 27)))
2.0ms	x	@	-inf	((/ 1 3) (/ (* 3 (/ x (* y 27))) (* z 2)) (* 3 (/ x (* y 27))) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (/ x (* y 27)))

simplify130.0ms (1%)

Memory

-62.7MiB live, 72.3MiB allocated; 57ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	31	68
1	68	65
2	205	63
3	731	63
4	2596	63
5	4597	63
6	5492	63
7	6391	63
8	6503	63
9	6507	63
10	7043	63
0	8283	63

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 7

Calls

Call 1

Inputs
(* 1/18 (/ x (* y z)))
(* 1/9 (/ x y))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/27 (/ x y))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))

Outputs
(* 1/18 (/ x (* y z)))
(.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))
(* 1/9 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/9 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 (acos.f64 (.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(* 1/27 (/ x y))
(*.f64 #s(literal 1/27 binary64) (/.f64 x y))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(.f64 (acos.f64 (.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal -1/18 binary64))) #s(literal 1/3 binary64))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))

rewrite199.0ms (1.6%)

Memory

9.2MiB live, 197.9MiB allocated; 35ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	55
0	29	55
1	63	47
2	240	41
3	1461	41
0	8680	41

Stop Event

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

Counts

6 → 535

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
(/.f64 x (*.f64 y #s(literal 27 binary64)))

Outputs
#s(literal 1/3 binary64)
(.f64 (/.f64 (.f64 #s(literal 1/9 binary64) (/.f64 x y)) #s(literal 0 binary64)) #s(literal 0 binary64))
(.f64 (/.f64 (.f64 #s(literal 1/9 binary64) (/.f64 x y)) (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z z #s(literal 0 binary64)))
(.f64 (/.f64 (.f64 #s(literal -1/9 binary64) (/.f64 x y)) #s(literal 0 binary64)) #s(literal 0 binary64))
(.f64 (/.f64 (.f64 #s(literal -1/9 binary64) (/.f64 x y)) (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z z #s(literal 0 binary64)))
(*.f64 (neg.f64 (/.f64 #s(literal -1/9 binary64) z)) (/.f64 (/.f64 x y) #s(literal 2 binary64)))
(*.f64 (neg.f64 (/.f64 (/.f64 #s(literal -3 binary64) y) z)) (/.f64 x #s(literal 54 binary64)))
(*.f64 (neg.f64 (/.f64 (/.f64 #s(literal 3 binary64) y) #s(literal -2 binary64))) (/.f64 (/.f64 x #s(literal 27 binary64)) z))
(*.f64 (neg.f64 (/.f64 (/.f64 #s(literal 3 binary64) y) #s(literal 2 binary64))) (/.f64 (/.f64 x #s(literal 27 binary64)) z))
(*.f64 (neg.f64 (/.f64 (/.f64 #s(literal 3 binary64) y) #s(literal 2 binary64))) (/.f64 (/.f64 x #s(literal -27 binary64)) z))
(*.f64 (/.f64 #s(literal -1/9 binary64) y) (/.f64 (/.f64 x z) #s(literal 2 binary64)))
(*.f64 (/.f64 (/.f64 (/.f64 x y) #s(literal -54 binary64)) z) #s(literal -3 binary64))
(*.f64 (/.f64 (/.f64 (/.f64 x y) #s(literal -54 binary64)) z) #s(literal 3 binary64))
(*.f64 (/.f64 #s(literal -3 binary64) y) (/.f64 (/.f64 x #s(literal 54 binary64)) z))
(*.f64 #s(literal -1/9 binary64) (/.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) z))
(*.f64 (/.f64 #s(literal 1/9 binary64) y) (/.f64 (/.f64 x z) #s(literal -2 binary64)))
(*.f64 (/.f64 #s(literal 1/9 binary64) y) (/.f64 (/.f64 x z) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal -3 binary64) z) (/.f64 (/.f64 x y) #s(literal -54 binary64)))
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(.f64 (.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))
(.f64 (.f64 #s(literal 1/9 binary64) (/.f64 x y)) (/.f64 (/.f64 (sqrt.f64 t) z) #s(literal -2 binary64)))
(.f64 (/.f64 x (.f64 #s(literal 27 binary64) y)) (*.f64 (/.f64 #s(literal -3 binary64) z) (/.f64 (sqrt.f64 t) #s(literal -2 binary64))))
(.f64 (/.f64 x (.f64 #s(literal 27 binary64) y)) (*.f64 #s(literal 3/2 binary64) (/.f64 (sqrt.f64 t) z)))
(.f64 (/.f64 x (.f64 #s(literal 27 binary64) y)) (*.f64 #s(literal -3 binary64) (/.f64 (/.f64 (sqrt.f64 t) z) #s(literal -2 binary64))))
(.f64 (/.f64 x (.f64 #s(literal 27 binary64) y)) (*.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 (sqrt.f64 t) #s(literal 2 binary64))))
(.f64 (/.f64 x (.f64 #s(literal 27 binary64) y)) (*.f64 (/.f64 #s(literal -3/2 binary64) z) (sqrt.f64 t)))
(.f64 (/.f64 x (.f64 #s(literal 27 binary64) y)) (/.f64 (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64)) z))
(.f64 x (/.f64 (.f64 (sqrt.f64 t) #s(literal 3 binary64)) (.f64 (.f64 #s(literal -54 binary64) z) y)))
(.f64 x (.f64 (/.f64 (/.f64 #s(literal 1/9 binary64) y) z) (/.f64 (sqrt.f64 t) #s(literal 2 binary64))))
(.f64 x (.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/9 binary64) y) z) #s(literal 2 binary64)) (sqrt.f64 t)))
(.f64 x (.f64 (/.f64 #s(literal -1/9 binary64) y) (/.f64 (/.f64 (sqrt.f64 t) z) #s(literal -2 binary64))))
(.f64 x (.f64 (/.f64 #s(literal 1/9 binary64) y) (/.f64 (/.f64 (sqrt.f64 t) z) #s(literal -2 binary64))))
(.f64 #s(literal 3 binary64) (.f64 (/.f64 (/.f64 (/.f64 x y) #s(literal -27 binary64)) z) (/.f64 (sqrt.f64 t) #s(literal -2 binary64))))
(.f64 #s(literal 3 binary64) (.f64 (/.f64 (/.f64 (/.f64 x y) #s(literal -54 binary64)) z) (sqrt.f64 t)))
(/.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 3/2 binary64))) z) (*.f64 #s(literal 27 binary64) y))
(/.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 3/2 binary64))) (*.f64 #s(literal 27 binary64) y)) z)
(/.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 3/2 binary64))) #s(literal 27 binary64)) (*.f64 y z))
(/.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 3/2 binary64))) y) (*.f64 #s(literal 27 binary64) z))
(/.f64 (/.f64 (.f64 (neg.f64 x) (/.f64 (.f64 (sqrt.f64 t) #s(literal 3/2 binary64)) z)) (neg.f64 y)) #s(literal 27 binary64))
(/.f64 (/.f64 (.f64 (neg.f64 x) (/.f64 (.f64 (sqrt.f64 t) #s(literal 3/2 binary64)) z)) #s(literal -27 binary64)) y)
(/.f64 (/.f64 (.f64 (neg.f64 x) (/.f64 (.f64 (sqrt.f64 t) #s(literal 3/2 binary64)) z)) #s(literal 27 binary64)) (neg.f64 y))
(/.f64 (/.f64 (.f64 (neg.f64 x) (/.f64 (.f64 (sqrt.f64 t) #s(literal 3/2 binary64)) z)) y) #s(literal -27 binary64))
(/.f64 (/.f64 (.f64 x (/.f64 (.f64 (sqrt.f64 t) #s(literal 3/2 binary64)) z)) (neg.f64 y)) #s(literal -27 binary64))
(/.f64 (/.f64 (.f64 x (/.f64 (.f64 (sqrt.f64 t) #s(literal 3/2 binary64)) z)) #s(literal -27 binary64)) (neg.f64 y))
(/.f64 (/.f64 (.f64 x (/.f64 (.f64 (sqrt.f64 t) #s(literal 3/2 binary64)) z)) #s(literal 27 binary64)) y)
(/.f64 (/.f64 (.f64 x (/.f64 (.f64 (sqrt.f64 t) #s(literal 3/2 binary64)) z)) y) #s(literal 27 binary64))
(/.f64 (/.f64 (.f64 (.f64 #s(literal 3 binary64) (/.f64 (sqrt.f64 t) z)) (neg.f64 x)) (neg.f64 y)) #s(literal 54 binary64))
(/.f64 (/.f64 (.f64 (.f64 #s(literal 3 binary64) (/.f64 (sqrt.f64 t) z)) (neg.f64 x)) #s(literal -27 binary64)) (*.f64 y #s(literal 2 binary64)))
(/.f64 (/.f64 (.f64 (.f64 #s(literal 3 binary64) (/.f64 (sqrt.f64 t) z)) (neg.f64 x)) (*.f64 #s(literal -27 binary64) y)) #s(literal 2 binary64))
(/.f64 (/.f64 (.f64 (.f64 #s(literal 3 binary64) (/.f64 (sqrt.f64 t) z)) (neg.f64 x)) #s(literal 2 binary64)) (*.f64 #s(literal -27 binary64) y))
(/.f64 (/.f64 (.f64 (.f64 #s(literal 3 binary64) (/.f64 (sqrt.f64 t) z)) (neg.f64 x)) #s(literal 27 binary64)) (*.f64 (neg.f64 y) #s(literal 2 binary64)))
(/.f64 (/.f64 (.f64 (.f64 #s(literal 3 binary64) (/.f64 (sqrt.f64 t) z)) (neg.f64 x)) y) #s(literal -54 binary64))
(/.f64 (/.f64 (.f64 (.f64 #s(literal 3 binary64) (/.f64 (sqrt.f64 t) z)) x) #s(literal 2 binary64)) (*.f64 #s(literal 27 binary64) y))
(/.f64 (/.f64 (.f64 (.f64 #s(literal 3 binary64) (/.f64 (sqrt.f64 t) z)) x) (*.f64 #s(literal 27 binary64) y)) #s(literal 2 binary64))
(/.f64 (/.f64 (.f64 (.f64 #s(literal 3 binary64) (/.f64 (sqrt.f64 t) z)) x) #s(literal 27 binary64)) (*.f64 y #s(literal 2 binary64)))
(/.f64 (/.f64 (.f64 (.f64 #s(literal 3 binary64) (/.f64 (sqrt.f64 t) z)) x) y) #s(literal 54 binary64))
(/.f64 (/.f64 (/.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal 3 binary64)) x) y) (*.f64 #s(literal -2 binary64) z)) #s(literal 27 binary64))
(/.f64 (/.f64 (.f64 (.f64 (/.f64 x y) #s(literal 3 binary64)) (sqrt.f64 t)) (*.f64 #s(literal -2 binary64) z)) #s(literal 27 binary64))
(/.f64 (/.f64 (.f64 (.f64 (sqrt.f64 t) x) #s(literal -3 binary64)) (.f64 #s(literal -2 binary64) z)) (.f64 #s(literal -27 binary64) y))
(/.f64 (/.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal 3 binary64)) x) (.f64 #s(literal -2 binary64) z)) (.f64 #s(literal 27 binary64) y))
(/.f64 (/.f64 (.f64 (.f64 (sqrt.f64 t) x) #s(literal -3 binary64)) #s(literal 27 binary64)) (.f64 (.f64 y #s(literal 2 binary64)) z))
(/.f64 (/.f64 (.f64 (.f64 (sqrt.f64 t) x) #s(literal -3 binary64)) y) (*.f64 #s(literal -54 binary64) z))
(/.f64 (neg.f64 (/.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal 3 binary64)) x) y)) (*.f64 #s(literal -54 binary64) z))
(/.f64 (neg.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 3/2 binary64)))) (.f64 (.f64 z y) #s(literal -27 binary64)))
(/.f64 (neg.f64 (.f64 (.f64 x #s(literal 1/9 binary64)) (/.f64 (/.f64 (sqrt.f64 t) z) #s(literal -2 binary64)))) (neg.f64 y))
(/.f64 (neg.f64 (.f64 (/.f64 x y) (/.f64 (.f64 (sqrt.f64 t) #s(literal 3/2 binary64)) z))) #s(literal -27 binary64))
(/.f64 (neg.f64 (.f64 (neg.f64 x) (/.f64 (.f64 (sqrt.f64 t) #s(literal 3/2 binary64)) z))) (*.f64 #s(literal 27 binary64) y))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 3 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) #s(literal -54 binary64))
(/.f64 (neg.f64 (.f64 (.f64 x #s(literal 1/9 binary64)) (sqrt.f64 t))) (.f64 (.f64 y #s(literal 2 binary64)) z))
(/.f64 (.f64 (.f64 (sqrt.f64 t) x) #s(literal 1/9 binary64)) (.f64 (.f64 y #s(literal 2 binary64)) z))
(/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 3/2 binary64))) (.f64 z (.f64 #s(literal 27 binary64) y)))
(/.f64 (.f64 (.f64 x #s(literal 1/9 binary64)) (/.f64 (/.f64 (sqrt.f64 t) z) #s(literal -2 binary64))) y)
(/.f64 (.f64 (/.f64 x y) (/.f64 (.f64 (sqrt.f64 t) #s(literal 3/2 binary64)) z)) #s(literal 27 binary64))
(/.f64 (.f64 (neg.f64 x) (/.f64 (.f64 (sqrt.f64 t) #s(literal 3/2 binary64)) z)) (*.f64 #s(literal -27 binary64) y))
(/.f64 (.f64 x (/.f64 (.f64 (sqrt.f64 t) #s(literal 3/2 binary64)) z)) (*.f64 #s(literal 27 binary64) y))
(/.f64 (.f64 (.f64 (/.f64 x #s(literal 27 binary64)) #s(literal 3 binary64)) (sqrt.f64 t)) (.f64 (.f64 y #s(literal 2 binary64)) z))
(/.f64 (.f64 (.f64 #s(literal -3 binary64) (/.f64 x y)) (sqrt.f64 t)) (*.f64 #s(literal -54 binary64) z))
(/.f64 (.f64 (.f64 #s(literal 3 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y)) #s(literal 54 binary64))
(/.f64 (.f64 (.f64 #s(literal 3 binary64) (/.f64 (sqrt.f64 t) z)) (neg.f64 x)) (*.f64 #s(literal -54 binary64) y))
(/.f64 (.f64 (.f64 #s(literal 3 binary64) (/.f64 (sqrt.f64 t) z)) x) (*.f64 #s(literal 54 binary64) y))
(/.f64 (/.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal 3 binary64)) x) y) (*.f64 #s(literal -54 binary64) z))
(/.f64 (.f64 (.f64 (/.f64 x y) #s(literal -1/18 binary64)) (sqrt.f64 t)) (neg.f64 z))
(/.f64 (.f64 (.f64 (/.f64 x y) #s(literal -1/18 binary64)) (sqrt.f64 t)) z)
(/.f64 (.f64 (.f64 #s(literal -1/9 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t)) #s(literal -2 binary64))
(/.f64 (.f64 (.f64 #s(literal -1/9 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t)) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 (sqrt.f64 t) x) #s(literal -3 binary64)) (.f64 (.f64 #s(literal -54 binary64) z) y))
(/.f64 (.f64 (.f64 x #s(literal 1/9 binary64)) (sqrt.f64 t)) (.f64 (.f64 y #s(literal 2 binary64)) z))
(/.f64 (.f64 (.f64 (/.f64 x y) #s(literal 3 binary64)) (sqrt.f64 t)) (*.f64 #s(literal -54 binary64) z))
(/.f64 (.f64 (.f64 (/.f64 x y) #s(literal 1/18 binary64)) (sqrt.f64 t)) (neg.f64 z))
(/.f64 (.f64 (.f64 (/.f64 x y) #s(literal 1/18 binary64)) (sqrt.f64 t)) z)
(/.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal 3 binary64)) x) (.f64 (.f64 #s(literal -54 binary64) z) y))
(/.f64 (.f64 (.f64 (sqrt.f64 t) x) (/.f64 (/.f64 #s(literal 1/9 binary64) y) z)) #s(literal -2 binary64))
(/.f64 (.f64 (.f64 (sqrt.f64 t) x) (/.f64 (/.f64 #s(literal 1/9 binary64) y) z)) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/9 binary64)) (/.f64 x y)) (*.f64 #s(literal -2 binary64) z))
(/.f64 (.f64 (.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/9 binary64) y)) (*.f64 #s(literal -2 binary64) z))
(neg.f64 (/.f64 (.f64 (neg.f64 x) (/.f64 (.f64 (sqrt.f64 t) #s(literal 3/2 binary64)) z)) (*.f64 #s(literal 27 binary64) y)))
(neg.f64 (/.f64 (.f64 x (/.f64 (.f64 (sqrt.f64 t) #s(literal 3/2 binary64)) z)) (*.f64 #s(literal -27 binary64) y)))
(neg.f64 (/.f64 (.f64 (.f64 #s(literal 3 binary64) (/.f64 (sqrt.f64 t) z)) (neg.f64 x)) (*.f64 #s(literal 54 binary64) y)))
(neg.f64 (.f64 (/.f64 (sqrt.f64 t) #s(literal -2 binary64)) (.f64 (/.f64 #s(literal 1/9 binary64) y) (/.f64 x z))))
(neg.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) #s(literal -2 binary64)) (.f64 #s(literal -1/9 binary64) (/.f64 x y))))
(neg.f64 (.f64 (/.f64 (sqrt.f64 t) #s(literal 2 binary64)) (.f64 #s(literal -1/9 binary64) (/.f64 (/.f64 x y) z))))
(neg.f64 (.f64 (.f64 (/.f64 #s(literal 1/9 binary64) y) (/.f64 x z)) (/.f64 (sqrt.f64 t) #s(literal -2 binary64))))
(neg.f64 (.f64 (/.f64 (/.f64 (/.f64 x y) #s(literal -27 binary64)) z) (.f64 (sqrt.f64 t) #s(literal 3/2 binary64))))
(neg.f64 (.f64 (.f64 #s(literal -1/9 binary64) (/.f64 (/.f64 x y) z)) (/.f64 (sqrt.f64 t) #s(literal 2 binary64))))
(neg.f64 (.f64 (/.f64 (/.f64 x y) #s(literal -27 binary64)) (.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 (sqrt.f64 t) #s(literal 2 binary64)))))
(neg.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))
(fma.f64 (cosh.f64 (log.f64 (sqrt.f64 t))) (.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 x y) z)) (.f64 (sinh.f64 (log.f64 (sqrt.f64 t))) (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 x y) z))))
(fma.f64 (.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 x y) z)) (cosh.f64 (log.f64 (sqrt.f64 t))) (.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 x y) z)) (sinh.f64 (log.f64 (sqrt.f64 t)))))
(+.f64 (.f64 (cosh.f64 (log.f64 (sqrt.f64 t))) (.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 x y) z))) (.f64 (sinh.f64 (log.f64 (sqrt.f64 t))) (.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 x y) z))))
(+.f64 (.f64 (.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 x y) z)) (cosh.f64 (log.f64 (sqrt.f64 t)))) (.f64 (.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 x y) z)) (sinh.f64 (log.f64 (sqrt.f64 t)))))
(/.f64 (/.f64 x #s(literal -27 binary64)) (neg.f64 y))
(/.f64 (/.f64 x #s(literal 27 binary64)) y)
(/.f64 (/.f64 (neg.f64 x) y) #s(literal -27 binary64))
(/.f64 (/.f64 x y) #s(literal 27 binary64))
(/.f64 (neg.f64 x) (*.f64 #s(literal -27 binary64) y))
(/.f64 x (*.f64 #s(literal 27 binary64) y))
(neg.f64 (/.f64 (/.f64 x y) #s(literal -27 binary64)))

eval134.0ms (1.1%)

Memory: -17.2MiB live, 174.6MiB allocated; 15ms collecting garbage
Compiler: Compiled 10 506 to 2 376 computations (77.4% saved)

prune12.0ms (0.1%)

Memory

-5.6MiB live, 39.8MiB allocated; 3ms collecting garbage

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	537	4	541
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	538	4	542

Accuracy

100.0%

Counts

542 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.4%	(.f64 (/.f64 (.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (.f64 (asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))
▶	97.8%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))))
▶	95.8%	(.f64 (acos.f64 (.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 1/3 binary64))
▶	97.7%	#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (.f64 (acos.f64 (.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)))

Compiler

Compiled 155 to 95 computations (38.7% saved)

simplify128.0ms (1%)

Memory

20.4MiB live, 248.7MiB allocated; 22ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64)))
cost-diff	0	(.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64))
cost-diff	0	(/.f64 (.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (.f64 (asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))))
cost-diff	0	(.f64 (/.f64 (.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (.f64 (asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))
cost-diff	0	(.f64 #s(approx (/ ( 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))
cost-diff	0	(acos.f64 (.f64 #s(approx (/ ( 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)))
cost-diff	0	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))))
cost-diff	2	(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
cost-diff	0	(*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))
cost-diff	0	(.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))
cost-diff	0	(acos.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))
cost-diff	0	(.f64 (acos.f64 (.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 1/3 binary64))
cost-diff	0	(.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
cost-diff	0	(acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))
cost-diff	0	(.f64 (acos.f64 (.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
cost-diff	0	#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (.f64 (acos.f64 (.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	59	628
0	95	628
1	166	618
2	420	608
3	1307	608
4	5134	608
0	8249	608

Stop Event

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

Calls

Call 1

Inputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (.f64 (acos.f64 (.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)))
(.f64 (acos.f64 (.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))
(.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)
(/.f64 (/.f64 (sqrt.f64 t) z) y)
(/.f64 (sqrt.f64 t) z)
(sqrt.f64 t)
t
z
y
x
#s(literal 1/18 binary64)
#s(literal 1/3 binary64)
(.f64 (acos.f64 (.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 1/3 binary64))
(acos.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))
(.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))
(*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))
(sqrt.f64 t)
t
#s(literal -1/18 binary64)
(/.f64 (/.f64 x y) z)
(/.f64 x y)
x
y
z
#s(literal 1/3 binary64)
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))))
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(literal 1 binary64)
#s(literal 3 binary64)
(acos.f64 (.f64 #s(approx (/ ( 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)))
(.f64 #s(approx (/ ( 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))
#s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64)))
(.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))
(/.f64 x (*.f64 z y))
x
(*.f64 z y)
z
y
#s(literal 1/18 binary64)
(sqrt.f64 t)
t
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (.f64 (asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (.f64 (asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))))
(.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64))
(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64)))
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
#s(literal 3 binary64)
(pow.f64 (asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))
(asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))
(.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))
(*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))
(sqrt.f64 t)
t
#s(literal -1/18 binary64)
(/.f64 (/.f64 x y) z)
(/.f64 x y)
x
y
z
#s(literal 1/3 binary64)
(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (.f64 (asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64))
#s(literal 4 binary64)
(pow.f64 (.f64 (asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))
(.f64 (asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))))
(acos.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))
(fma.f64 (asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))

Outputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (.f64 (acos.f64 (.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 1/3 binary64)))
(.f64 (acos.f64 (.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 1/3 binary64))
(acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))
(acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))
(.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(.f64 #s(literal 1/18 binary64) (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)
(/.f64 (/.f64 (sqrt.f64 t) z) y)
(/.f64 (sqrt.f64 t) z)
(sqrt.f64 t)
t
z
y
x
#s(literal 1/18 binary64)
#s(literal 1/3 binary64)
(.f64 (acos.f64 (.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 1/3 binary64))
(.f64 (acos.f64 (.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 1/3 binary64))
(acos.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))
(acos.f64 (.f64 #s(literal -1/18 binary64) (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))
(.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))
(.f64 #s(literal -1/18 binary64) (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))
(*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))
(*.f64 #s(literal -1/18 binary64) (sqrt.f64 t))
(sqrt.f64 t)
t
#s(literal -1/18 binary64)
(/.f64 (/.f64 x y) z)
(/.f64 x y)
x
y
z
#s(literal 1/3 binary64)
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))))
(.f64 (acos.f64 (.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) x)) (sqrt.f64 t))) #s(literal 1/3 binary64))
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(literal 1/3 binary64)
#s(literal 1 binary64)
#s(literal 3 binary64)
(acos.f64 (.f64 #s(approx (/ ( 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)))
(acos.f64 (.f64 #s(approx (/ ( 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) x)) (sqrt.f64 t)))
(.f64 #s(approx (/ ( 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))
(.f64 #s(approx (/ ( 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) x)) (sqrt.f64 t))
#s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64)))
#s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) x))
(.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))
(*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) x)
(/.f64 x (*.f64 z y))
(/.f64 (/.f64 x y) z)
x
(*.f64 z y)
z
y
#s(literal 1/18 binary64)
(sqrt.f64 t)
t
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (.f64 (asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (.f64 (.f64 (fma.f64 (asin.f64 (.f64 #s(literal -1/18 binary64) (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) (acos.f64 (.f64 #s(literal -1/18 binary64) (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (.f64 #s(literal -1/18 binary64) (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 3 binary64)))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (.f64 (asin.f64 (.f64 #s(literal -1/18 binary64) (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) (acos.f64 (.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (.f64 (asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))))
(/.f64 (.f64 #s(literal -1/3 binary64) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (.f64 #s(literal -1/18 binary64) (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 3 binary64)))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (.f64 (asin.f64 (.f64 #s(literal -1/18 binary64) (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) (acos.f64 (.f64 #s(literal -1/18 binary64) (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) #s(literal 2 binary64))))
(.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64))
(.f64 #s(literal -1/3 binary64) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 3 binary64))))
(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64)))
(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (.f64 #s(literal -1/18 binary64) (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 3 binary64)))
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
#s(literal 3 binary64)
(pow.f64 (asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))
(pow.f64 (asin.f64 (.f64 #s(literal -1/18 binary64) (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 3 binary64))
(asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))
(asin.f64 (.f64 #s(literal -1/18 binary64) (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))
(.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))
(.f64 #s(literal -1/18 binary64) (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))
(*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))
(*.f64 #s(literal -1/18 binary64) (sqrt.f64 t))
(sqrt.f64 t)
t
#s(literal -1/18 binary64)
(/.f64 (/.f64 x y) z)
(/.f64 x y)
x
y
z
#s(literal 1/3 binary64)
(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (.f64 (asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))
(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (.f64 (asin.f64 (.f64 #s(literal -1/18 binary64) (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) (acos.f64 (.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) #s(literal 2 binary64)))
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64))
#s(literal 4 binary64)
(pow.f64 (.f64 (asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))
(pow.f64 (.f64 (asin.f64 (.f64 #s(literal -1/18 binary64) (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) (acos.f64 (.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) #s(literal 2 binary64))
(.f64 (asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))))
(.f64 (asin.f64 (.f64 #s(literal -1/18 binary64) (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) (acos.f64 (.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))))
(acos.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))
(acos.f64 (.f64 #s(literal -1/18 binary64) (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))
(fma.f64 (asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))
(fma.f64 (asin.f64 (.f64 #s(literal -1/18 binary64) (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) (acos.f64 (.f64 #s(literal -1/18 binary64) (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))

localize202.0ms (1.6%)

Memory

2.8MiB live, 342.8MiB allocated; 70ms collecting garbage

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	1.0	(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))
accuracy	1.58496250072115	(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64))
accuracy	3.004587988304122	(/.f64 (/.f64 x y) z)
accuracy	5.569209234369944	(.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))
accuracy	0.22884750976844204	(.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))
accuracy	0.97265625	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))))
accuracy	5.140807350842834	(/.f64 x (*.f64 z y))
accuracy	5.619973870972315	(.f64 #s(approx (/ ( 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))
accuracy	0.35384750976844204	(*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))
accuracy	0.98828125	(.f64 (acos.f64 (.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 1/3 binary64))
accuracy	3.004587988304122	(/.f64 (/.f64 x y) z)
accuracy	5.569209234369944	(.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))
accuracy	0.2421875	(/.f64 (sqrt.f64 t) z)
accuracy	0.97265625	(.f64 (acos.f64 (.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
accuracy	3.1934203385961286	(/.f64 (/.f64 (sqrt.f64 t) z) y)
accuracy	5.100388908875153	(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)

Samples

159.0ms

256×

valid

Compiler

Compiled 592 to 54 computations (90.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 107.0ms

ival-mult: 24.0ms (22.4% of total)

ival-div: 22.0ms (20.5% of total)

ival-acos: 17.0ms (15.9% of total)

const: 16.0ms (14.9% of total)

ival-pow2: 10.0ms (9.3% of total)

ival-pow: 8.0ms (7.5% of total)

ival-asin: 2.0ms (1.9% of total)

ival-sub: 2.0ms (1.9% of total)

ival-sqrt: 2.0ms (1.9% of total)

ival-pi: 1.0ms (0.9% of total)

ival-add: 1.0ms (0.9% of total)

exact: 1.0ms (0.9% of total)

adjust: 0.0ms (0% of total)

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

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

series159.0ms (1.3%)

Memory

21.1MiB live, 306.6MiB allocated; 27ms collecting garbage

Counts

24 → 30

Calls

Call 1

Inputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (.f64 (acos.f64 (.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)))
(.f64 (acos.f64 (.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))
(.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(.f64 (acos.f64 (.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 1/3 binary64))
(acos.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))
(.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))
(*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))))
(acos.f64 (.f64 #s(approx (/ ( 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)))
(.f64 #s(approx (/ ( 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (.f64 (asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (.f64 (asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))))
(.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64))
(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64)))
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)
(/.f64 (/.f64 (sqrt.f64 t) z) y)
(/.f64 (sqrt.f64 t) z)
(/.f64 (/.f64 x y) z)
(/.f64 x (*.f64 z y))
(.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64))
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))

Outputs
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/3 (acos (* -1/18 (* (sqrt t) (/ x (* y z))))))
(acos (* -1/18 (* (sqrt t) (/ x (* y z)))))
(* -1/18 (* (sqrt t) (/ x (* y z))))
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (asin (* -1/18 (* (sqrt t) (/ x (* y z))))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3))) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3))
(* (sqrt t) (/ x (* y z)))
(/ x (* y z))
(* 1/18 (/ x (* y z)))
(* (sqrt t) (/ 1 (* y z)))
(* (sqrt t) (/ 1 z))
(* -1/18 (sqrt t))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* 1/3 (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))
(* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* 1/18 (* (sqrt t) (pow (sqrt -1) 2)))
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))))
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))))
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))
(* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* -1 (* (sqrt t) (/ (pow (sqrt -1) 2) (* y z))))
(* -1 (* (sqrt t) (/ (pow (sqrt -1) 2) z)))

Calls

12 calls:

Time	Variable		Point	Expression
53.0ms	y	@	inf	((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 1/3) (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (* (* (/ (/ (sqrt t) z) y) x) 1/18) (* (acos (* (* (sqrt t) -1/18) (/ (/ x y) z))) 1/3) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z))) (* (* (sqrt t) -1/18) (/ (/ x y) z)) (* (sqrt t) -1/18) (/ 1 3) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) (* (/ (/ (sqrt t) z) y) x) (/ (/ (sqrt t) z) y) (/ (sqrt t) z) (/ (/ x y) z) (/ x (* z y)) (* (/ x (* z y)) 1/18) (pow (/ (PI) 2) 4) (pow (/ (PI) 2) 3))
13.0ms	z	@	inf	((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 1/3) (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (* (* (/ (/ (sqrt t) z) y) x) 1/18) (* (acos (* (* (sqrt t) -1/18) (/ (/ x y) z))) 1/3) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z))) (* (* (sqrt t) -1/18) (/ (/ x y) z)) (* (sqrt t) -1/18) (/ 1 3) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) (* (/ (/ (sqrt t) z) y) x) (/ (/ (sqrt t) z) y) (/ (sqrt t) z) (/ (/ x y) z) (/ x (* z y)) (* (/ x (* z y)) 1/18) (pow (/ (PI) 2) 4) (pow (/ (PI) 2) 3))
12.0ms	x	@	0	((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 1/3) (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (* (* (/ (/ (sqrt t) z) y) x) 1/18) (* (acos (* (* (sqrt t) -1/18) (/ (/ x y) z))) 1/3) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z))) (* (* (sqrt t) -1/18) (/ (/ x y) z)) (* (sqrt t) -1/18) (/ 1 3) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) (* (/ (/ (sqrt t) z) y) x) (/ (/ (sqrt t) z) y) (/ (sqrt t) z) (/ (/ x y) z) (/ x (* z y)) (* (/ x (* z y)) 1/18) (pow (/ (PI) 2) 4) (pow (/ (PI) 2) 3))
11.0ms	t	@	-inf	((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 1/3) (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (* (* (/ (/ (sqrt t) z) y) x) 1/18) (* (acos (* (* (sqrt t) -1/18) (/ (/ x y) z))) 1/3) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z))) (* (* (sqrt t) -1/18) (/ (/ x y) z)) (* (sqrt t) -1/18) (/ 1 3) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) (* (/ (/ (sqrt t) z) y) x) (/ (/ (sqrt t) z) y) (/ (sqrt t) z) (/ (/ x y) z) (/ x (* z y)) (* (/ x (* z y)) 1/18) (pow (/ (PI) 2) 4) (pow (/ (PI) 2) 3))
10.0ms	t	@	inf	((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 1/3) (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (* (* (/ (/ (sqrt t) z) y) x) 1/18) (* (acos (* (* (sqrt t) -1/18) (/ (/ x y) z))) 1/3) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z))) (* (* (sqrt t) -1/18) (/ (/ x y) z)) (* (sqrt t) -1/18) (/ 1 3) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) (* (/ (/ (sqrt t) z) y) x) (/ (/ (sqrt t) z) y) (/ (sqrt t) z) (/ (/ x y) z) (/ x (* z y)) (* (/ x (* z y)) 1/18) (pow (/ (PI) 2) 4) (pow (/ (PI) 2) 3))

simplify141.0ms (1.1%)

Memory

16.3MiB live, 157.4MiB allocated; 22ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	88	610
1	203	562
2	618	552
3	2594	552
4	6990	552
0	8247	550

Stop Event

1×	iter limit
1×	node limit

Counts

30 → 30

Calls

Call 1

Inputs
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/3 (acos (* -1/18 (* (sqrt t) (/ x (* y z))))))
(acos (* -1/18 (* (sqrt t) (/ x (* y z)))))
(* -1/18 (* (sqrt t) (/ x (* y z))))
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (asin (* -1/18 (* (sqrt t) (/ x (* y z))))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3))) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3))
(* (sqrt t) (/ x (* y z)))
(/ x (* y z))
(* 1/18 (/ x (* y z)))
(* (sqrt t) (/ 1 (* y z)))
(* (sqrt t) (/ 1 z))
(* -1/18 (sqrt t))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* 1/3 (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))
(* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* 1/18 (* (sqrt t) (pow (sqrt -1) 2)))
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))))
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))))
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))
(* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* -1 (* (sqrt t) (/ (pow (sqrt -1) 2) (* y z))))
(* -1 (* (sqrt t) (/ (pow (sqrt -1) 2) z)))

Outputs
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 (acos.f64 (.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x)) #s(literal 1/3 binary64))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x)
(* 1/3 (acos (* -1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 (acos.f64 (.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 1/3 binary64))
(acos (* -1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (.f64 (.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y)))
(* -1/18 (* (sqrt t) (/ x (* y z))))
(.f64 (.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (asin (* -1/18 (* (sqrt t) (/ x (* y z))))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3))) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
(/.f64 (.f64 (.f64 (fma.f64 (asin.f64 (.f64 (.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) (acos.f64 (.f64 (.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 3 binary64)))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 2 binary64))) (pow.f64 (acos.f64 (.f64 (.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 2 binary64)) (.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64))))
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
(.f64 (/.f64 #s(literal 1/3 binary64) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 2 binary64))) (pow.f64 (acos.f64 (.f64 (.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 2 binary64)) (.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64)))) (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 3 binary64))))
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(.f64 (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 3 binary64))) #s(literal 1/3 binary64))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3))
(-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 3 binary64)))
(* (sqrt t) (/ x (* y z)))
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)
(/ x (* y z))
(/.f64 x (*.f64 z y))
(* 1/18 (/ x (* y z)))
(.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))
(* (sqrt t) (/ 1 (* y z)))
(/.f64 (/.f64 (sqrt.f64 t) z) y)
(* (sqrt t) (/ 1 z))
(/.f64 (sqrt.f64 t) z)
(* -1/18 (sqrt t))
(*.f64 #s(literal -1/18 binary64) (sqrt.f64 t))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(.f64 (acos.f64 (.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 1/3 binary64))
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))
(acos.f64 (.f64 (.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y)))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x)
(* 1/3 (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(.f64 (acos.f64 (.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x)) #s(literal 1/3 binary64))
(acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))
(acos.f64 (.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x))
(* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(.f64 (.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))
(* 1/18 (* (sqrt t) (pow (sqrt -1) 2)))
(*.f64 #s(literal -1/18 binary64) (sqrt.f64 t))
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))))
(/.f64 (.f64 (.f64 (fma.f64 (asin.f64 (.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x)) #s(literal 3 binary64)))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x)) #s(literal 2 binary64))) (pow.f64 (acos.f64 (.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x)) #s(literal 2 binary64)) (.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64))))
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))))
(.f64 (/.f64 #s(literal 1/3 binary64) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x)) #s(literal 2 binary64))) (pow.f64 (acos.f64 (.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x)) #s(literal 2 binary64)) (.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64)))) (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x)) #s(literal 3 binary64))))
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)))
(.f64 (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x)) #s(literal 3 binary64))) #s(literal 1/3 binary64))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))
(-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x)) #s(literal 3 binary64)))
(* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)
(* -1 (* (sqrt t) (/ (pow (sqrt -1) 2) (* y z))))
(/.f64 (/.f64 (sqrt.f64 t) z) y)
(* -1 (* (sqrt t) (/ (pow (sqrt -1) 2) z)))
(/.f64 (sqrt.f64 t) z)

rewrite373.0ms (3%)

Memory

-40.3MiB live, 392.5MiB allocated; 63ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	59	394
0	95	394
1	283	386
2	1564	378
0	8256	378

Stop Event

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

Counts

24 → 551

Calls

Call 1

Inputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (.f64 (acos.f64 (.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)))
(.f64 (acos.f64 (.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))
(.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(.f64 (acos.f64 (.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 1/3 binary64))
(acos.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))
(.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))
(*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))))
(acos.f64 (.f64 #s(approx (/ ( 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)))
(.f64 #s(approx (/ ( 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (.f64 (asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (.f64 (asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))))
(.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64))
(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64)))
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)
(/.f64 (/.f64 (sqrt.f64 t) z) y)
(/.f64 (sqrt.f64 t) z)
(/.f64 (/.f64 x y) z)
(/.f64 x (*.f64 z y))
(.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64))
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))

Outputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 1/3 binary64)))
(.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 1/3 binary64))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (.f64 #s(literal 1/18 binary64) (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (.f64 #s(literal 1/18 binary64) (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (.f64 #s(literal 1/18 binary64) (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (asin.f64 (.f64 #s(literal 1/18 binary64) (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64)) (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (.f64 #s(literal 1/18 binary64) (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (.f64 #s(literal 1/18 binary64) (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (.f64 #s(literal 1/18 binary64) (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (asin.f64 (.f64 #s(literal 1/18 binary64) (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64)) (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))))))
(-.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (.f64 #s(literal 1/18 binary64) (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))))) (/.f64 (pow.f64 (asin.f64 (.f64 #s(literal 1/18 binary64) (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (.f64 #s(literal 1/18 binary64) (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))))))
(-.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (asin.f64 (.f64 #s(literal 1/18 binary64) (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64)) (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (.f64 #s(literal 1/18 binary64) (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))))))) (/.f64 (pow.f64 (asin.f64 (.f64 #s(literal 1/18 binary64) (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (asin.f64 (.f64 #s(literal 1/18 binary64) (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64)) (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (.f64 #s(literal 1/18 binary64) (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (.f64 #s(literal 1/18 binary64) (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))))
(acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))
(.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (.f64 #s(literal 1/18 binary64) x) z))
(.f64 (.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) z) y)) x)
(.f64 (.f64 #s(literal 1/18 binary64) x) (/.f64 (/.f64 (sqrt.f64 t) z) y))
(.f64 #s(literal 1/18 binary64) (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))
(.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (.f64 #s(literal 1/18 binary64) x))
(.f64 (/.f64 (sqrt.f64 t) z) (/.f64 (.f64 #s(literal 1/18 binary64) x) y))
(.f64 x (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)))
(/.f64 (neg.f64 (.f64 (.f64 (/.f64 (sqrt.f64 t) z) x) #s(literal 1/18 binary64))) (neg.f64 y))
(/.f64 (neg.f64 (.f64 (/.f64 (sqrt.f64 t) (neg.f64 z)) (.f64 #s(literal 1/18 binary64) x))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (.f64 (/.f64 (sqrt.f64 t) z) (.f64 #s(literal 1/18 binary64) x))) (neg.f64 y))
(/.f64 (neg.f64 (.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) x))) (*.f64 (neg.f64 y) z))
(/.f64 (neg.f64 (.f64 #s(literal 1/18 binary64) (.f64 (/.f64 (sqrt.f64 t) z) x))) (neg.f64 y))
(/.f64 (.f64 (.f64 (/.f64 (sqrt.f64 t) z) x) #s(literal 1/18 binary64)) y)
(/.f64 (.f64 (/.f64 (sqrt.f64 t) (neg.f64 z)) (.f64 #s(literal 1/18 binary64) x)) (neg.f64 y))
(/.f64 (.f64 (/.f64 (sqrt.f64 t) z) (.f64 #s(literal 1/18 binary64) x)) y)
(/.f64 (.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) x)) (*.f64 z y))
(/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (/.f64 (sqrt.f64 t) z) x)) y)
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(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)))) (cosh.f64 (log.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)))) (-.f64 (.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64))))) (.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64))))))))
(sqrt.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 8 binary64)))
(fabs.f64 (neg.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64))))
(fabs.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)))
(exp.f64 (log.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64))))
(+.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)))))
(.f64 (.f64 (neg.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (neg.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (sqrt.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (sqrt.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(.f64 (.f64 (sqrt.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(.f64 (.f64 (sqrt.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(*.f64 (pow.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)))) (neg.f64 (neg.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)))))
(*.f64 (pow.f64 (neg.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 3 binary64)))
(*.f64 (neg.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64))) (neg.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)))
(.f64 (.f64 (PI.f64) (PI.f64)) (pow.f64 (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))
(pow.f64 (neg.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))
(/.f64 (-.f64 (.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)))) (cosh.f64 (log.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))))) (.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)))))) (-.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)))) (cosh.f64 (log.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)))) (-.f64 (.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))))) (.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))))))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (PI.f64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 (PI.f64) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (neg.f64 (PI.f64)))) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (PI.f64))) #s(literal -2 binary64))
(/.f64 (neg.f64 (pow.f64 (neg.f64 (PI.f64)) #s(literal 3 binary64))) #s(literal 8 binary64))
(/.f64 (fabs.f64 (*.f64 (neg.f64 (PI.f64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (*.f64 (PI.f64) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (neg.f64 (PI.f64)))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (PI.f64))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (pow.f64 (neg.f64 (PI.f64)) #s(literal 3 binary64))) #s(literal 8 binary64))
(/.f64 (fabs.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 8 binary64))
(/.f64 (pow.f64 (neg.f64 (neg.f64 (PI.f64))) #s(literal 3 binary64)) #s(literal 8 binary64))
(/.f64 (*.f64 (neg.f64 (PI.f64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (*.f64 (PI.f64) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (neg.f64 (PI.f64))) #s(literal -2 binary64))
(/.f64 (*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (PI.f64)) #s(literal 2 binary64))
(/.f64 (pow.f64 (neg.f64 (PI.f64)) #s(literal 3 binary64)) #s(literal -8 binary64))
(/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 8 binary64))
(neg.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 3 binary64)))
(sqrt.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 6 binary64)))
(fabs.f64 (neg.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))))
(fabs.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)))
(exp.f64 (fma.f64 (log.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 3/2 binary64) (*.f64 (log.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 3/2 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 3/2 binary64)))
(exp.f64 (log.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))))
(+.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)))))

eval334.0ms (2.7%)

Memory: 10.7MiB live, 382.8MiB allocated; 37ms collecting garbage
Compiler: Compiled 79 738 to 3 803 computations (95.2% saved)

prune77.0ms (0.6%)

Memory

21.7MiB live, 87.9MiB allocated; 11ms collecting garbage

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	875	2	877
Fresh	0	0	0
Picked	3	1	4
Done	0	0	0
Total	878	3	881

Accuracy

100.0%

Counts

881 → 3

Alt Table

Click to see full alt table

Status

Accuracy

Program

▶

98.4%

(*.f64 (/.f64 (*.f64 #s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x)) #s(literal 3 binary64)))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))

▶

97.8%

(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))))

✓

97.7%

#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)))

Compiler

Compiled 160 to 103 computations (35.6% saved)

simplify180.0ms (1.4%)

Memory

9.5MiB live, 239.1MiB allocated; 36ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
cost-diff	0	#s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x)) #s(literal 3 binary64))))
cost-diff	0	(.f64 #s(approx (- (pow (/ (PI) 2) 3) (pow (asin ( (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x)) #s(literal 3 binary64)))) #s(literal 1/3 binary64))
cost-diff	0	(/.f64 (.f64 #s(approx (- (pow (/ (PI) 2) 3) (pow (asin ( (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x)) #s(literal 3 binary64)))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (.f64 (asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))))
cost-diff	0	(.f64 (/.f64 (.f64 #s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x)) #s(literal 3 binary64)))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (.f64 (asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))
cost-diff	0	#s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64)))
cost-diff	0	(.f64 #s(approx (/ ( 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))
cost-diff	0	(acos.f64 (.f64 #s(approx (/ ( 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)))
cost-diff	0	(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	63	624
0	96	624
1	168	616
2	413	608
3	1184	608
4	3409	608
5	6178	608
0	8046	608

Stop Event

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

Calls

Call 1

Inputs
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))))
#s(literal 1/3 binary64)
(acos.f64 (.f64 #s(approx (/ ( 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)))
(.f64 #s(approx (/ ( 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))
#s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64)))
(.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))
(/.f64 x (*.f64 z y))
x
(*.f64 z y)
z
y
#s(literal 1/18 binary64)
(sqrt.f64 t)
t
(.f64 (/.f64 (.f64 #s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x)) #s(literal 3 binary64)))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (.f64 (asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (.f64 #s(approx (- (pow (/ (PI) 2) 3) (pow (asin ( (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x)) #s(literal 3 binary64)))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (.f64 (asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))))
(.f64 #s(approx (- (pow (/ (PI) 2) 3) (pow (asin ( (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x)) #s(literal 3 binary64)))) #s(literal 1/3 binary64))
#s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x)) #s(literal 3 binary64))))
(-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64))
(pow.f64 (PI.f64) #s(literal 3 binary64))
(PI.f64)
#s(literal 3 binary64)
#s(literal 1/8 binary64)
(pow.f64 (asin.f64 (.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x)) #s(literal 3 binary64))
(asin.f64 (.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x))
(.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x)
(/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y)
(*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z))
#s(literal 1/18 binary64)
(/.f64 (sqrt.f64 t) z)
(sqrt.f64 t)
t
z
y
x
#s(literal 1/3 binary64)
(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (.f64 (asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 4 binary64)
(pow.f64 (.f64 (asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))
(.f64 (asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))))
(asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))
(.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))
(*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))
#s(literal -1/18 binary64)
(/.f64 (/.f64 x y) z)
(/.f64 x y)
(acos.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))
(fma.f64 (asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))

Outputs
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))))
(.f64 (acos.f64 (.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) x)))) #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
(acos.f64 (.f64 #s(approx (/ ( 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)))
(acos.f64 (.f64 (sqrt.f64 t) #s(approx (/ ( 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) x))))
(.f64 #s(approx (/ ( 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))
(.f64 (sqrt.f64 t) #s(approx (/ ( 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) x)))
#s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64)))
#s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) x))
(.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))
(*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) x)
(/.f64 x (*.f64 z y))
(/.f64 (/.f64 x y) z)
x
(*.f64 z y)
z
y
#s(literal 1/18 binary64)
(sqrt.f64 t)
t
(.f64 (/.f64 (.f64 #s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x)) #s(literal 3 binary64)))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (.f64 (asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))
(.f64 (/.f64 (fma.f64 (acos.f64 (.f64 (.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) z) y)) x)) (asin.f64 (.f64 (.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) z) y)) x)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (.f64 (acos.f64 (.f64 (.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) z) y)) x)) (asin.f64 (.f64 (.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) z) y)) x))) #s(literal 2 binary64)))) (.f64 #s(approx (- (pow (/ (PI) 2) 3) (pow (asin ( (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) (-.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal 3 binary64)))) #s(literal 1/3 binary64)))
(/.f64 (.f64 #s(approx (- (pow (/ (PI) 2) 3) (pow (asin ( (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x)) #s(literal 3 binary64)))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (.f64 (asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))))
(/.f64 (.f64 #s(approx (- (pow (/ (PI) 2) 3) (pow (asin ( (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) (-.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (.f64 (/.f64 (.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal 3 binary64)))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (.f64 (acos.f64 (.f64 (.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) z) y)) x)) (asin.f64 (.f64 (.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) z) y)) x))) #s(literal 2 binary64))))
(.f64 #s(approx (- (pow (/ (PI) 2) 3) (pow (asin ( (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x)) #s(literal 3 binary64)))) #s(literal 1/3 binary64))
(.f64 #s(approx (- (pow (/ (PI) 2) 3) (pow (asin ( (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) (-.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal 3 binary64)))) #s(literal 1/3 binary64))
#s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x)) #s(literal 3 binary64))))
#s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) (-.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal 3 binary64))))
(-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x)) #s(literal 3 binary64)))
(-.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64))
(*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))
(pow.f64 (PI.f64) #s(literal 3 binary64))
(PI.f64)
#s(literal 3 binary64)
#s(literal 1/8 binary64)
(pow.f64 (asin.f64 (.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x)) #s(literal 3 binary64))
(pow.f64 (asin.f64 (.f64 (/.f64 (.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal 3 binary64))
(asin.f64 (.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x))
(asin.f64 (.f64 (/.f64 (.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x))
(.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x)
(.f64 (/.f64 (.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)
(/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y)
(/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y)
(*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z))
(*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64))
#s(literal 1/18 binary64)
(/.f64 (sqrt.f64 t) z)
(sqrt.f64 t)
t
z
y
x
#s(literal 1/3 binary64)
(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (.f64 (asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))
(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (.f64 (acos.f64 (.f64 (.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) z) y)) x)) (asin.f64 (.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) z) y)) x))) #s(literal 2 binary64)))
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 4 binary64)
(pow.f64 (.f64 (asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))
(pow.f64 (.f64 (acos.f64 (.f64 (.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) z) y)) x)) (asin.f64 (.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) z) y)) x))) #s(literal 2 binary64))
(.f64 (asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))))
(.f64 (acos.f64 (.f64 (.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) z) y)) x)) (asin.f64 (.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) z) y)) x)))
(asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))
(asin.f64 (.f64 (.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) z) y)) x))
(.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))
(.f64 (.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) z) y)) x)
(*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))
(*.f64 #s(literal -1/18 binary64) (sqrt.f64 t))
#s(literal -1/18 binary64)
(/.f64 (/.f64 x y) z)
(/.f64 x y)
(acos.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))
(acos.f64 (.f64 (.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) z) y)) x))
(fma.f64 (asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))
(fma.f64 (acos.f64 (.f64 (.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) z) y)) x)) (asin.f64 (.f64 (.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) z) y)) x)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))

localize150.0ms (1.2%)

Memory

-9.7MiB live, 226.8MiB allocated; 24ms collecting garbage

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	3.004587988304122	(/.f64 (/.f64 x y) z)
accuracy	3.192866396259569	(/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y)
accuracy	5.153679239632866	(.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x)
accuracy	5.569209234369944	(.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))
accuracy	0.22884750976844204	(.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))
accuracy	0.97265625	(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))))
accuracy	5.140807350842834	(/.f64 x (*.f64 z y))
accuracy	5.619973870972315	(.f64 #s(approx (/ ( 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))

Samples

114.0ms

256×

valid

Compiler

Compiled 516 to 55 computations (89.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 89.0ms

ival-mult: 22.0ms (24.9% of total)

ival-pow: 21.0ms (23.7% of total)

ival-div: 15.0ms (16.9% of total)

const: 10.0ms (11.3% of total)

ival-acos: 4.0ms (4.5% of total)

ival-pow2: 4.0ms (4.5% of total)

ival-asin: 3.0ms (3.4% of total)

ival-sub: 3.0ms (3.4% of total)

ival-sqrt: 2.0ms (2.3% of total)

ival-pi: 1.0ms (1.1% of total)

ival-add: 1.0ms (1.1% of total)

exact: 1.0ms (1.1% of total)

adjust: 0.0ms (0% of total)

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

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

series302.0ms (2.4%)

Memory

3.4MiB live, 101.4MiB allocated; 8ms collecting garbage

Counts

14 → 20

Calls

Call 1

Inputs
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))))
(acos.f64 (.f64 #s(approx (/ ( 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)))
(.f64 #s(approx (/ ( 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))
#s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64)))
(.f64 (/.f64 (.f64 #s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x)) #s(literal 3 binary64)))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (.f64 (asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (.f64 #s(approx (- (pow (/ (PI) 2) 3) (pow (asin ( (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x)) #s(literal 3 binary64)))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (.f64 (asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))))
(.f64 #s(approx (- (pow (/ (PI) 2) 3) (pow (asin ( (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x)) #s(literal 3 binary64)))) #s(literal 1/3 binary64))
#s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x)) #s(literal 3 binary64))))
(/.f64 x (*.f64 z y))
(.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))
(.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))
(.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x)
(/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y)
(/.f64 (/.f64 x y) z)

Outputs
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (/ x (* y z)))
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (asin (* -1/18 (* (sqrt t) (/ x (* y z))))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3))) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3))
(/ x (* y z))
(* -1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ 1 (* y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))))
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))))
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))
(* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* -1/18 (* (sqrt t) (/ (pow (sqrt -1) 2) (* y z))))

Calls

12 calls:

Time	Variable		Point	Expression
220.0ms	x	@	-inf	((* 1/3 (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (/ (* 3 (/ x (* y 27))) (* z 2)) (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) (/ x (* z y)) (* (/ x (* z y)) 1/18) (* (* (sqrt t) -1/18) (/ (/ x y) z)) (* (/ (* 1/18 (/ (sqrt t) z)) y) x) (/ (* 1/18 (/ (sqrt t) z)) y) (/ (/ x y) z))
31.0ms	z	@	inf	((* 1/3 (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (/ (* 3 (/ x (* y 27))) (* z 2)) (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) (/ x (* z y)) (* (/ x (* z y)) 1/18) (* (* (sqrt t) -1/18) (/ (/ x y) z)) (* (/ (* 1/18 (/ (sqrt t) z)) y) x) (/ (* 1/18 (/ (sqrt t) z)) y) (/ (/ x y) z))
5.0ms	t	@	-inf	((* 1/3 (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (/ (* 3 (/ x (* y 27))) (* z 2)) (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) (/ x (* z y)) (* (/ x (* z y)) 1/18) (* (* (sqrt t) -1/18) (/ (/ x y) z)) (* (/ (* 1/18 (/ (sqrt t) z)) y) x) (/ (* 1/18 (/ (sqrt t) z)) y) (/ (/ x y) z))
5.0ms	t	@	0	((* 1/3 (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (/ (* 3 (/ x (* y 27))) (* z 2)) (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) (/ x (* z y)) (* (/ x (* z y)) 1/18) (* (* (sqrt t) -1/18) (/ (/ x y) z)) (* (/ (* 1/18 (/ (sqrt t) z)) y) x) (/ (* 1/18 (/ (sqrt t) z)) y) (/ (/ x y) z))
5.0ms	z	@	-inf	((* 1/3 (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (/ (* 3 (/ x (* y 27))) (* z 2)) (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) (/ x (* z y)) (* (/ x (* z y)) 1/18) (* (* (sqrt t) -1/18) (/ (/ x y) z)) (* (/ (* 1/18 (/ (sqrt t) z)) y) x) (/ (* 1/18 (/ (sqrt t) z)) y) (/ (/ x y) z))

simplify154.0ms (1.2%)

Memory

-23.6MiB live, 113.0MiB allocated; 9ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	78	540
1	180	500
2	536	476
3	2180	476
4	5525	476
0	8168	474

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 20

Calls

Call 1

Inputs
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (/ x (* y z)))
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (asin (* -1/18 (* (sqrt t) (/ x (* y z))))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3))) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3))
(/ x (* y z))
(* -1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ 1 (* y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))))
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))))
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))
(* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* -1/18 (* (sqrt t) (/ (pow (sqrt -1) 2) (* y z))))

Outputs
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 (acos.f64 (.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) (/.f64 x y))) #s(literal 1/3 binary64))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (.f64 (.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) (/.f64 x y)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(.f64 (.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) (/.f64 x y))
(* 1/18 (/ x (* y z)))
(.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (asin (* -1/18 (* (sqrt t) (/ x (* y z))))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3))) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
(/.f64 (.f64 (.f64 (fma.f64 (asin.f64 (.f64 (.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) (acos.f64 (.f64 (.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 3 binary64)))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 2 binary64))) (pow.f64 (acos.f64 (.f64 (.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 2 binary64)) (.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64))))
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
(.f64 (/.f64 #s(literal 1/3 binary64) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 2 binary64))) (pow.f64 (acos.f64 (.f64 (.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 2 binary64)) (.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64)))) (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 3 binary64))))
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(.f64 (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 3 binary64))) #s(literal 1/3 binary64))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3))
(-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 3 binary64)))
(/ x (* y z))
(/.f64 x (*.f64 z y))
(* -1/18 (* (sqrt t) (/ x (* y z))))
(.f64 (.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))
(* 1/18 (* (sqrt t) (/ 1 (* y z))))
(*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(.f64 (acos.f64 (.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 1/3 binary64))
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))
(acos.f64 (.f64 (.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y)))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(.f64 (.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) (/.f64 x y))
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))))
(/.f64 (.f64 (.f64 (fma.f64 (asin.f64 (.f64 (.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) (/.f64 x y))) (acos.f64 (.f64 (.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) (/.f64 x y))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) (/.f64 x y))) #s(literal 3 binary64)))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) (/.f64 x y))) #s(literal 2 binary64))) (pow.f64 (acos.f64 (.f64 (.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) (/.f64 x y))) #s(literal 2 binary64)) (.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64))))
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))))
(.f64 (/.f64 #s(literal 1/3 binary64) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) (/.f64 x y))) #s(literal 2 binary64))) (pow.f64 (acos.f64 (.f64 (.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) (/.f64 x y))) #s(literal 2 binary64)) (.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64)))) (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) (/.f64 x y))) #s(literal 3 binary64))))
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)))
(.f64 (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) (/.f64 x y))) #s(literal 3 binary64))) #s(literal 1/3 binary64))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))
(-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) (/.f64 x y))) #s(literal 3 binary64)))
(* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(.f64 (.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))
(* -1/18 (* (sqrt t) (/ (pow (sqrt -1) 2) (* y z))))
(*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t))

rewrite314.0ms (2.5%)

Memory

10.0MiB live, 266.8MiB allocated; 69ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	63	389
0	96	389
1	301	381
2	1736	381
0	8318	381

Stop Event

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

Counts

14 → 272

Calls

Call 1

Inputs
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))))
(acos.f64 (.f64 #s(approx (/ ( 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)))
(.f64 #s(approx (/ ( 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))
#s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64)))
(.f64 (/.f64 (.f64 #s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x)) #s(literal 3 binary64)))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (.f64 (asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (.f64 #s(approx (- (pow (/ (PI) 2) 3) (pow (asin ( (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x)) #s(literal 3 binary64)))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (.f64 (asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))))
(.f64 #s(approx (- (pow (/ (PI) 2) 3) (pow (asin ( (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x)) #s(literal 3 binary64)))) #s(literal 1/3 binary64))
#s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x)) #s(literal 3 binary64))))
(/.f64 x (*.f64 z y))
(.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))
(.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))
(.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x)
(/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y)
(/.f64 (/.f64 x y) z)

Outputs
(.f64 (acos.f64 (.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))))) #s(literal 1/3 binary64))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (.f64 (sqrt.f64 t) #s(approx (/ ( 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (.f64 (sqrt.f64 t) #s(approx (/ ( 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (asin.f64 (.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))))) #s(literal 2 binary64)) (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (.f64 (sqrt.f64 t) #s(approx (/ ( 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (.f64 (sqrt.f64 t) #s(approx (/ ( 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (.f64 (sqrt.f64 t) #s(approx (/ ( 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (asin.f64 (.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))))) #s(literal 2 binary64)) (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (.f64 (sqrt.f64 t) #s(approx (/ ( 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (.f64 (sqrt.f64 t) #s(approx (/ ( 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))))))
(acos.f64 (.f64 (sqrt.f64 t) #s(approx (/ ( 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))))
(.f64 (sqrt.f64 t) #s(approx (/ ( 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))))
(.f64 #s(approx (/ ( 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))) (sqrt.f64 t))
#s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))
(.f64 (/.f64 (.f64 #s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) (-.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (.f64 (/.f64 (.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal 3 binary64)))) (.f64 #s(literal 1/3 binary64) (fma.f64 (acos.f64 (.f64 (.f64 (/.f64 (/.f64 x y) z) #s(literal -1/18 binary64)) (sqrt.f64 t))) (asin.f64 (.f64 (.f64 (/.f64 (/.f64 x y) z) #s(literal -1/18 binary64)) (sqrt.f64 t))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 8 binary64)) (pow.f64 (.f64 (acos.f64 (.f64 (.f64 (/.f64 (/.f64 x y) z) #s(literal -1/18 binary64)) (sqrt.f64 t))) (asin.f64 (.f64 (.f64 (/.f64 (/.f64 x y) z) #s(literal -1/18 binary64)) (sqrt.f64 t)))) #s(literal 4 binary64)))) (+.f64 (pow.f64 (.f64 (acos.f64 (.f64 (.f64 (/.f64 (/.f64 x y) z) #s(literal -1/18 binary64)) (sqrt.f64 t))) (asin.f64 (.f64 (.f64 (/.f64 (/.f64 x y) z) #s(literal -1/18 binary64)) (sqrt.f64 t)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64))))
(.f64 (/.f64 (.f64 #s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) (-.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (.f64 (/.f64 (.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal 3 binary64)))) (.f64 #s(literal 1/3 binary64) (fma.f64 (acos.f64 (.f64 (.f64 (/.f64 (/.f64 x y) z) #s(literal -1/18 binary64)) (sqrt.f64 t))) (asin.f64 (.f64 (.f64 (/.f64 (/.f64 x y) z) #s(literal -1/18 binary64)) (sqrt.f64 t))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 12 binary64)) (pow.f64 (.f64 (acos.f64 (.f64 (.f64 (/.f64 (/.f64 x y) z) #s(literal -1/18 binary64)) (sqrt.f64 t))) (asin.f64 (.f64 (.f64 (/.f64 (/.f64 x y) z) #s(literal -1/18 binary64)) (sqrt.f64 t)))) #s(literal 6 binary64)))) (fma.f64 (pow.f64 (.f64 (acos.f64 (.f64 (.f64 (/.f64 (/.f64 x y) z) #s(literal -1/18 binary64)) (sqrt.f64 t))) (asin.f64 (.f64 (.f64 (/.f64 (/.f64 x y) z) #s(literal -1/18 binary64)) (sqrt.f64 t)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (acos.f64 (.f64 (.f64 (/.f64 (/.f64 x y) z) #s(literal -1/18 binary64)) (sqrt.f64 t))) (asin.f64 (.f64 (*.f64 (/.f64 (/.f64 x y) z) #s(literal -1/18 binary64)) (sqrt.f64 t)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 8 binary64))))
(.f64 (.f64 (fma.f64 (acos.f64 (.f64 (.f64 (/.f64 (/.f64 x y) z) #s(literal -1/18 binary64)) (sqrt.f64 t))) (asin.f64 (.f64 (.f64 (/.f64 (/.f64 x y) z) #s(literal -1/18 binary64)) (sqrt.f64 t))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) (-.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (.f64 (/.f64 (.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal 3 binary64))))) (/.f64 #s(literal 1/3 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (.f64 (acos.f64 (.f64 (.f64 (/.f64 (/.f64 x y) z) #s(literal -1/18 binary64)) (sqrt.f64 t))) (asin.f64 (.f64 (.f64 (/.f64 (/.f64 x y) z) #s(literal -1/18 binary64)) (sqrt.f64 t)))) #s(literal 2 binary64)))))
(.f64 (fma.f64 (acos.f64 (.f64 (.f64 (/.f64 (/.f64 x y) z) #s(literal -1/18 binary64)) (sqrt.f64 t))) (asin.f64 (.f64 (.f64 (/.f64 (/.f64 x y) z) #s(literal -1/18 binary64)) (sqrt.f64 t))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (.f64 #s(literal 1/3 binary64) (/.f64 #s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) (-.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (.f64 (/.f64 (.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal 3 binary64)))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (.f64 (acos.f64 (.f64 (.f64 (/.f64 (/.f64 x y) z) #s(literal -1/18 binary64)) (sqrt.f64 t))) (asin.f64 (.f64 (.f64 (/.f64 (/.f64 x y) z) #s(literal -1/18 binary64)) (sqrt.f64 t)))) #s(literal 2 binary64))))))
(.f64 (.f64 #s(literal 1/3 binary64) (/.f64 #s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) (-.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (.f64 (/.f64 (.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal 3 binary64)))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (.f64 (acos.f64 (.f64 (.f64 (/.f64 (/.f64 x y) z) #s(literal -1/18 binary64)) (sqrt.f64 t))) (asin.f64 (.f64 (.f64 (/.f64 (/.f64 x y) z) #s(literal -1/18 binary64)) (sqrt.f64 t)))) #s(literal 2 binary64))))) (fma.f64 (acos.f64 (.f64 (.f64 (/.f64 (/.f64 x y) z) #s(literal -1/18 binary64)) (sqrt.f64 t))) (asin.f64 (.f64 (.f64 (/.f64 (/.f64 x y) z) #s(literal -1/18 binary64)) (sqrt.f64 t))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))
(.f64 (.f64 #s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) (-.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (.f64 (/.f64 (.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal 3 binary64)))) #s(literal 1/3 binary64)) (/.f64 (fma.f64 (acos.f64 (.f64 (.f64 (/.f64 (/.f64 x y) z) #s(literal -1/18 binary64)) (sqrt.f64 t))) (asin.f64 (.f64 (.f64 (/.f64 (/.f64 x y) z) #s(literal -1/18 binary64)) (sqrt.f64 t))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (.f64 (acos.f64 (.f64 (.f64 (/.f64 (/.f64 x y) z) #s(literal -1/18 binary64)) (sqrt.f64 t))) (asin.f64 (.f64 (.f64 (/.f64 (/.f64 x y) z) #s(literal -1/18 binary64)) (sqrt.f64 t)))) #s(literal 2 binary64)))))
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(/.f64 (neg.f64 (.f64 (neg.f64 x) (.f64 #s(literal -1/18 binary64) (sqrt.f64 t)))) (neg.f64 (*.f64 (neg.f64 y) z)))
(/.f64 (neg.f64 (.f64 x (.f64 #s(literal -1/18 binary64) (sqrt.f64 t)))) (*.f64 (neg.f64 y) z))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) (/.f64 x z))) (neg.f64 y))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) (/.f64 (neg.f64 x) y))) (neg.f64 (neg.f64 z)))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) (neg.f64 x))) (neg.f64 (*.f64 (neg.f64 y) z)))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) x)) (*.f64 (neg.f64 y) z))
(/.f64 (neg.f64 (neg.f64 (.f64 (/.f64 x y) (.f64 #s(literal -1/18 binary64) (sqrt.f64 t))))) (neg.f64 (neg.f64 z)))
(/.f64 (.f64 (/.f64 x z) (.f64 #s(literal -1/18 binary64) (sqrt.f64 t))) y)
(/.f64 (.f64 (/.f64 (neg.f64 x) y) (.f64 #s(literal -1/18 binary64) (sqrt.f64 t))) (neg.f64 z))
(/.f64 (.f64 (neg.f64 x) (.f64 #s(literal -1/18 binary64) (sqrt.f64 t))) (*.f64 (neg.f64 y) z))
(/.f64 (.f64 x (.f64 #s(literal -1/18 binary64) (sqrt.f64 t))) (*.f64 z y))
(/.f64 (.f64 (.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) (/.f64 x z)) y)
(/.f64 (.f64 (.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) (/.f64 (neg.f64 x) y)) (neg.f64 z))
(/.f64 (.f64 (.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) (neg.f64 x)) (*.f64 (neg.f64 y) z))
(/.f64 (.f64 (.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))
(/.f64 (neg.f64 (.f64 (/.f64 x y) (.f64 #s(literal -1/18 binary64) (sqrt.f64 t)))) (neg.f64 z))
(/.f64 (.f64 (/.f64 x y) (.f64 #s(literal -1/18 binary64) (sqrt.f64 t))) z)
(.f64 (.f64 #s(literal 1/18 binary64) x) (/.f64 (/.f64 (sqrt.f64 t) z) y))
(.f64 (/.f64 (.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)
(.f64 (.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) (/.f64 x y))
(.f64 #s(literal 1/18 binary64) (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))
(.f64 x (/.f64 (.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y))
(/.f64 (neg.f64 (.f64 (.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) x)) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (.f64 x (.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) x))) (neg.f64 (neg.f64 y)))
(/.f64 (.f64 (.f64 (neg.f64 (sqrt.f64 t)) #s(literal 1/18 binary64)) (neg.f64 (neg.f64 x))) (*.f64 (neg.f64 z) (neg.f64 (neg.f64 y))))
(/.f64 (.f64 (.f64 (neg.f64 (sqrt.f64 t)) #s(literal 1/18 binary64)) (neg.f64 x)) (*.f64 (neg.f64 z) (neg.f64 y)))
(/.f64 (.f64 (.f64 (neg.f64 (sqrt.f64 t)) #s(literal 1/18 binary64)) x) (*.f64 (neg.f64 y) z))
(/.f64 (.f64 (.f64 #s(literal 1/18 binary64) (neg.f64 (sqrt.f64 t))) (neg.f64 (neg.f64 x))) (*.f64 (neg.f64 z) (neg.f64 (neg.f64 y))))
(/.f64 (.f64 (.f64 #s(literal 1/18 binary64) (neg.f64 (sqrt.f64 t))) (neg.f64 x)) (*.f64 (neg.f64 z) (neg.f64 y)))
(/.f64 (.f64 (.f64 #s(literal 1/18 binary64) (neg.f64 (sqrt.f64 t))) x) (*.f64 (neg.f64 y) z))
(/.f64 (.f64 (neg.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (neg.f64 (neg.f64 x))) (*.f64 (neg.f64 z) (neg.f64 (neg.f64 y))))
(/.f64 (.f64 (neg.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (neg.f64 x)) (*.f64 (neg.f64 z) (neg.f64 y)))
(/.f64 (.f64 (neg.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) x) (*.f64 (neg.f64 y) z))
(/.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (neg.f64 (neg.f64 x))) (*.f64 z (neg.f64 (neg.f64 y))))
(/.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (neg.f64 x)) (*.f64 (neg.f64 y) z))
(/.f64 (.f64 (.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) x) (neg.f64 y))
(/.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) x) (*.f64 z y))
(/.f64 (.f64 x (.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64))) (neg.f64 y))
(/.f64 (neg.f64 (.f64 (.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) x)) (neg.f64 y))
(/.f64 (.f64 (.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) x) y)
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64))
(*.f64 (/.f64 (sqrt.f64 t) z) (/.f64 #s(literal 1/18 binary64) y))
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) z) y))
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)))) (neg.f64 (neg.f64 (neg.f64 y))))
(/.f64 (.f64 (neg.f64 (neg.f64 (sqrt.f64 t))) #s(literal 1/18 binary64)) (.f64 (neg.f64 (neg.f64 z)) y))
(/.f64 (.f64 (neg.f64 (sqrt.f64 t)) #s(literal 1/18 binary64)) (.f64 (neg.f64 y) z))
(/.f64 (neg.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 (neg.f64 y) z))
(/.f64 (neg.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64))) (neg.f64 (neg.f64 y)))
(/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (.f64 z y))
(/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (neg.f64 y))
(/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y)
(neg.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) y))
(neg.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) (neg.f64 y)))
(/.f64 (neg.f64 (neg.f64 (/.f64 x z))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (*.f64 (neg.f64 y) z))))
(/.f64 (neg.f64 (/.f64 x z)) (neg.f64 y))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (*.f64 (neg.f64 y) z)))
(/.f64 (/.f64 x z) y)
(/.f64 (/.f64 (neg.f64 x) y) (neg.f64 (neg.f64 (neg.f64 z))))
(/.f64 (/.f64 (neg.f64 x) y) (neg.f64 z))
(/.f64 (neg.f64 x) (*.f64 (neg.f64 y) z))
(/.f64 (/.f64 x y) (neg.f64 (neg.f64 z)))
(/.f64 (/.f64 x y) z)
(/.f64 x (*.f64 z y))
(neg.f64 (/.f64 (neg.f64 x) (*.f64 z y)))
(neg.f64 (/.f64 (/.f64 (neg.f64 x) y) z))
(neg.f64 (/.f64 x (*.f64 (neg.f64 y) z)))

eval122.0ms (1%)

Memory: 15.9MiB live, 106.7MiB allocated; 14ms collecting garbage
Compiler: Compiled 43 081 to 1 691 computations (96.1% saved)

prune164.0ms (1.3%)

Memory

-7.8MiB live, 91.9MiB allocated; 7ms collecting garbage

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	352	1	353
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	352	4	356

Accuracy

100.0%

Counts

356 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.4%	(.f64 (/.f64 (.f64 #s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (.f64 (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (.f64 z y)) x)) #s(literal 3 binary64)))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (.f64 (asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))
✓	98.4%	(.f64 (/.f64 (.f64 #s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x)) #s(literal 3 binary64)))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (.f64 (asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))
✓	97.8%	(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))))
✓	97.7%	#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (.f64 (acos.f64 (.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)))

Compiler

Compiled 262 to 156 computations (40.5% saved)

simplify196.0ms (1.6%)

Memory

-2.7MiB live, 87.0MiB allocated; 10ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	#s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (.f64 (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (.f64 z y)) x)) #s(literal 3 binary64))))
cost-diff	0	(.f64 #s(approx (- (pow (/ (PI) 2) 3) (pow (asin ( (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (.f64 (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (.f64 z y)) x)) #s(literal 3 binary64)))) #s(literal 1/3 binary64))
cost-diff	0	(/.f64 (.f64 #s(approx (- (pow (/ (PI) 2) 3) (pow (asin ( (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (.f64 (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (.f64 z y)) x)) #s(literal 3 binary64)))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (.f64 (asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))))
cost-diff	0	(.f64 (/.f64 (.f64 #s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (.f64 (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (.f64 z y)) x)) #s(literal 3 binary64)))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (.f64 (asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	509
0	77	509
1	130	509
2	325	509
3	1023	509
4	3008	509
5	5561	509
6	7829	509
0	8137	509

Stop Event

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

Calls

Call 1

Inputs
(.f64 (/.f64 (.f64 #s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (.f64 (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (.f64 z y)) x)) #s(literal 3 binary64)))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (.f64 (asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (.f64 #s(approx (- (pow (/ (PI) 2) 3) (pow (asin ( (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (.f64 (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (.f64 z y)) x)) #s(literal 3 binary64)))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (.f64 (asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))))
(.f64 #s(approx (- (pow (/ (PI) 2) 3) (pow (asin ( (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (.f64 (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (.f64 z y)) x)) #s(literal 3 binary64)))) #s(literal 1/3 binary64))
#s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (.f64 (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (.f64 z y)) x)) #s(literal 3 binary64))))
(-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (.f64 (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (.f64 z y)) x)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64))
(pow.f64 (PI.f64) #s(literal 3 binary64))
(PI.f64)
#s(literal 3 binary64)
#s(literal 1/8 binary64)
(pow.f64 (asin.f64 (.f64 (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (*.f64 z y)) x)) #s(literal 3 binary64))
(asin.f64 (.f64 (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (*.f64 z y)) x))
(.f64 (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (*.f64 z y)) x)
(/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (.f64 z y))
(*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))
(sqrt.f64 t)
t
#s(literal 1/18 binary64)
(*.f64 z y)
z
y
x
#s(literal 1/3 binary64)
(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (.f64 (asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 4 binary64)
(pow.f64 (.f64 (asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))
(.f64 (asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))))
(asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))
(.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))
(*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))
#s(literal -1/18 binary64)
(/.f64 (/.f64 x y) z)
(/.f64 x y)
(acos.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))
(fma.f64 (asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))

Outputs
(.f64 (/.f64 (.f64 #s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (.f64 (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (.f64 z y)) x)) #s(literal 3 binary64)))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (.f64 (asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))
(.f64 (.f64 (/.f64 #s(literal 1/3 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (.f64 (acos.f64 (.f64 (.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) z)) x)) (asin.f64 (.f64 (.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) z)) x))) #s(literal 2 binary64)))) (fma.f64 (acos.f64 (.f64 (.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) z)) x)) (asin.f64 (.f64 (.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) z)) x)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(approx (- (pow (/ (PI) 2) 3) (pow (asin ( (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) (-.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 3 binary64)))))
(/.f64 (.f64 #s(approx (- (pow (/ (PI) 2) 3) (pow (asin ( (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (.f64 (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (.f64 z y)) x)) #s(literal 3 binary64)))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (.f64 (asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))))
(.f64 (/.f64 #s(approx (- (pow (/ (PI) 2) 3) (pow (asin ( (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) (-.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 3 binary64)))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (.f64 (acos.f64 (.f64 (.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) z)) x)) (asin.f64 (.f64 (.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) z)) x))) #s(literal 2 binary64)))) #s(literal 1/3 binary64))
(.f64 #s(approx (- (pow (/ (PI) 2) 3) (pow (asin ( (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (.f64 (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (.f64 z y)) x)) #s(literal 3 binary64)))) #s(literal 1/3 binary64))
(.f64 #s(literal 1/3 binary64) #s(approx (- (pow (/ (PI) 2) 3) (pow (asin ( (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) (-.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 3 binary64)))))
#s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (.f64 (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (.f64 z y)) x)) #s(literal 3 binary64))))
#s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) (-.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 3 binary64))))
(-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (.f64 (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (.f64 z y)) x)) #s(literal 3 binary64)))
(-.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64))
(*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))
(pow.f64 (PI.f64) #s(literal 3 binary64))
(PI.f64)
#s(literal 3 binary64)
#s(literal 1/8 binary64)
(pow.f64 (asin.f64 (.f64 (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (*.f64 z y)) x)) #s(literal 3 binary64))
(pow.f64 (asin.f64 (.f64 (.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 3 binary64))
(asin.f64 (.f64 (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (*.f64 z y)) x))
(asin.f64 (.f64 (.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y)))
(.f64 (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (*.f64 z y)) x)
(.f64 (.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y))
(/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (.f64 z y))
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) #s(literal 1/18 binary64))
(*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
(sqrt.f64 t)
t
#s(literal 1/18 binary64)
(*.f64 z y)
z
y
x
#s(literal 1/3 binary64)
(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (.f64 (asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))
(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (.f64 (acos.f64 (.f64 (.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) z)) x)) (asin.f64 (.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) z)) x))) #s(literal 2 binary64)))
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 4 binary64)
(pow.f64 (.f64 (asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))
(pow.f64 (.f64 (acos.f64 (.f64 (.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) z)) x)) (asin.f64 (.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) z)) x))) #s(literal 2 binary64))
(.f64 (asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))))
(.f64 (acos.f64 (.f64 (.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) z)) x)) (asin.f64 (.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) z)) x)))
(asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))
(asin.f64 (.f64 (.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) z)) x))
(.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))
(.f64 (.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) z)) x)
(*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))
#s(literal -1/18 binary64)
(/.f64 (/.f64 x y) z)
(/.f64 x y)
(acos.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))
(acos.f64 (.f64 (.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) z)) x))
(fma.f64 (asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))
(fma.f64 (acos.f64 (.f64 (.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) z)) x)) (asin.f64 (.f64 (.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) z)) x)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))

localize242.0ms (1.9%)

Memory

-13.6MiB live, 85.8MiB allocated; 9ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	3.004587988304122	(/.f64 (/.f64 x y) z)
accuracy	4.529035634283181	(/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (.f64 z y))
accuracy	5.153679239632866	(.f64 (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (*.f64 z y)) x)
accuracy	5.569209234369944	(.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))

Samples

112.0ms

256×

valid

Compiler

Compiled 433 to 43 computations (90.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 93.0ms

ival-pow2: 36.0ms (38.6% of total)

ival-pow: 14.0ms (15% of total)

ival-mult: 13.0ms (13.9% of total)

const: 10.0ms (10.7% of total)

ival-div: 8.0ms (8.6% of total)

ival-asin: 3.0ms (3.2% of total)

ival-sub: 3.0ms (3.2% of total)

ival-acos: 2.0ms (2.1% of total)

ival-sqrt: 2.0ms (2.1% of total)

ival-pi: 1.0ms (1.1% of total)

ival-add: 1.0ms (1.1% of total)

exact: 1.0ms (1.1% of total)

adjust: 0.0ms (0% of total)

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

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

series117.0ms (0.9%)

Memory

-7.8MiB live, 39.5MiB allocated; 2ms collecting garbage

Counts

8 → 15

Calls

Call 1

Inputs
(.f64 (/.f64 (.f64 #s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (.f64 (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (.f64 z y)) x)) #s(literal 3 binary64)))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (.f64 (asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (.f64 #s(approx (- (pow (/ (PI) 2) 3) (pow (asin ( (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (.f64 (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (.f64 z y)) x)) #s(literal 3 binary64)))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (.f64 (asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))))
(.f64 #s(approx (- (pow (/ (PI) 2) 3) (pow (asin ( (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (.f64 (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (.f64 z y)) x)) #s(literal 3 binary64)))) #s(literal 1/3 binary64))
#s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (.f64 (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (.f64 z y)) x)) #s(literal 3 binary64))))
(.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))
(.f64 (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (*.f64 z y)) x)
(/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (.f64 z y))
(/.f64 (/.f64 x y) z)

Outputs
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (asin (* -1/18 (* (sqrt t) (/ x (* y z))))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3))) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3))
(* -1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/ x (* y z))
(* 1/18 (* (sqrt t) (/ 1 (* y z))))
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))))
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))))
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))
(* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* -1/18 (* (sqrt t) (/ (pow (sqrt -1) 2) (* y z))))

Calls

12 calls:

Time	Variable		Point	Expression
64.0ms	t	@	0	((* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) (* (* (sqrt t) -1/18) (/ (/ x y) z)) (* (/ (* (sqrt t) 1/18) (* z y)) x) (/ (* (sqrt t) 1/18) (* z y)) (/ (/ x y) z))
5.0ms	t	@	-inf	((* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) (* (* (sqrt t) -1/18) (/ (/ x y) z)) (* (/ (* (sqrt t) 1/18) (* z y)) x) (/ (* (sqrt t) 1/18) (* z y)) (/ (/ x y) z))
5.0ms	t	@	inf	((* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) (* (* (sqrt t) -1/18) (/ (/ x y) z)) (* (/ (* (sqrt t) 1/18) (* z y)) x) (/ (* (sqrt t) 1/18) (* z y)) (/ (/ x y) z))
5.0ms	z	@	-inf	((* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) (* (* (sqrt t) -1/18) (/ (/ x y) z)) (* (/ (* (sqrt t) 1/18) (* z y)) x) (/ (* (sqrt t) 1/18) (* z y)) (/ (/ x y) z))
5.0ms	y	@	-inf	((* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) (* (* (sqrt t) -1/18) (/ (/ x y) z)) (* (/ (* (sqrt t) 1/18) (* z y)) x) (/ (* (sqrt t) 1/18) (* z y)) (/ (/ x y) z))

simplify151.0ms (1.2%)

Memory

15.1MiB live, 105.6MiB allocated; 5ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	475
1	170	441
2	514	421
3	2149	421
4	5503	421
0	8162	419

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 15

Calls

Call 1

Inputs
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (asin (* -1/18 (* (sqrt t) (/ x (* y z))))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3))) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3))
(* -1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/ x (* y z))
(* 1/18 (* (sqrt t) (/ 1 (* y z))))
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))))
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))))
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))
(* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* -1/18 (* (sqrt t) (/ (pow (sqrt -1) 2) (* y z))))

Outputs
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (asin (* -1/18 (* (sqrt t) (/ x (* y z))))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3))) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
(/.f64 (.f64 (.f64 (fma.f64 (asin.f64 (.f64 (.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) (acos.f64 (.f64 (.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 3 binary64)))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 2 binary64))) (pow.f64 (acos.f64 (.f64 (.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 2 binary64)) (.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64))))
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
(.f64 (/.f64 #s(literal 1/3 binary64) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 2 binary64))) (pow.f64 (acos.f64 (.f64 (.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 2 binary64)) (.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64)))) (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 3 binary64))))
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(.f64 (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 3 binary64))) #s(literal 1/3 binary64))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3))
(-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 3 binary64)))
(* -1/18 (* (sqrt t) (/ x (* y z))))
(.f64 (.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(.f64 (.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y))
(/ x (* y z))
(/.f64 x (*.f64 z y))
(* 1/18 (* (sqrt t) (/ 1 (* y z))))
(*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (sqrt.f64 t) y))
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))))
(/.f64 (.f64 (.f64 (fma.f64 (asin.f64 (.f64 (.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y))) (acos.f64 (.f64 (.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 3 binary64)))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 2 binary64))) (pow.f64 (acos.f64 (.f64 (.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 2 binary64)) (.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64))))
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))))
(.f64 (/.f64 #s(literal 1/3 binary64) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 2 binary64))) (pow.f64 (acos.f64 (.f64 (.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 2 binary64)) (.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64)))) (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 3 binary64))))
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)))
(.f64 (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 3 binary64))) #s(literal 1/3 binary64))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))
(-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 3 binary64)))
(* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(.f64 (.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(.f64 (.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y))
(* -1/18 (* (sqrt t) (/ (pow (sqrt -1) 2) (* y z))))
(*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (sqrt.f64 t) y))

rewrite302.0ms (2.4%)

Memory

-0.6MiB live, 191.7MiB allocated; 24ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	288
0	77	288
1	253	288
2	1555	288
0	8235	288

Stop Event

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

Counts

8 → 266

Calls

Call 1

Inputs
(.f64 (/.f64 (.f64 #s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (.f64 (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (.f64 z y)) x)) #s(literal 3 binary64)))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (.f64 (asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (.f64 #s(approx (- (pow (/ (PI) 2) 3) (pow (asin ( (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (.f64 (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (.f64 z y)) x)) #s(literal 3 binary64)))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (.f64 (asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))))
(.f64 #s(approx (- (pow (/ (PI) 2) 3) (pow (asin ( (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (.f64 (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (.f64 z y)) x)) #s(literal 3 binary64)))) #s(literal 1/3 binary64))
#s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (.f64 (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (.f64 z y)) x)) #s(literal 3 binary64))))
(.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))
(.f64 (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (*.f64 z y)) x)
(/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (.f64 z y))
(/.f64 (/.f64 x y) z)

Outputs
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(neg.f64 (/.f64 (.f64 #s(literal 1/3 binary64) #s(approx (- (pow (/ (PI) 2) 3) (pow (asin ( (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) (-.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (.f64 (.f64 x (/.f64 (sqrt.f64 t) z)) (/.f64 #s(literal 1/18 binary64) y))) #s(literal 3 binary64))))) (neg.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (.f64 (acos.f64 (.f64 (/.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) (asin.f64 (.f64 (/.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y)))) #s(literal 2 binary64))))))
(.f64 #s(literal 1/3 binary64) #s(approx (- (pow (/ (PI) 2) 3) (pow (asin ( (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) (-.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (.f64 (*.f64 x (/.f64 (sqrt.f64 t) z)) (/.f64 #s(literal 1/18 binary64) y))) #s(literal 3 binary64)))))
(.f64 #s(approx (- (pow (/ (PI) 2) 3) (pow (asin ( (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) (-.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (.f64 (*.f64 x (/.f64 (sqrt.f64 t) z)) (/.f64 #s(literal 1/18 binary64) y))) #s(literal 3 binary64)))) #s(literal 1/3 binary64))
#s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) (-.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (.f64 (*.f64 x (/.f64 (sqrt.f64 t) z)) (/.f64 #s(literal 1/18 binary64) y))) #s(literal 3 binary64))))
(.f64 (/.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))
(.f64 (/.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) y) (/.f64 x z))
(.f64 (.f64 (/.f64 (/.f64 x y) z) (sqrt.f64 t)) #s(literal -1/18 binary64))
(.f64 (/.f64 x z) (/.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) y))
(.f64 (.f64 (/.f64 (/.f64 x y) z) #s(literal -1/18 binary64)) (sqrt.f64 t))
(.f64 (/.f64 (/.f64 x y) z) (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)))
(.f64 (/.f64 x y) (/.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z))
(.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))
(.f64 (sqrt.f64 t) (.f64 (/.f64 (/.f64 x y) z) #s(literal -1/18 binary64)))
(.f64 #s(literal -1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 (/.f64 x y) z)))
(/.f64 (neg.f64 (.f64 (/.f64 (neg.f64 x) y) (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)))) (neg.f64 (neg.f64 z)))
(/.f64 (neg.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (neg.f64 x) y))) (neg.f64 (neg.f64 z)))
(/.f64 (neg.f64 (neg.f64 (.f64 (/.f64 x y) (.f64 (sqrt.f64 t) #s(literal -1/18 binary64))))) (neg.f64 (neg.f64 z)))
(/.f64 (neg.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)))) (*.f64 (neg.f64 y) z))
(/.f64 (neg.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) x)) (*.f64 (neg.f64 y) z))
(/.f64 (.f64 (/.f64 (neg.f64 x) y) (.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (neg.f64 z))
(/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 z y))
(/.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (neg.f64 x) y)) (neg.f64 z))
(/.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) x) (*.f64 z y))
(/.f64 (neg.f64 (.f64 (/.f64 x y) (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)))) (neg.f64 z))
(/.f64 (.f64 (/.f64 x y) (.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) z)
(.f64 (/.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 (neg.f64 x) y))
(.f64 (/.f64 x (neg.f64 z)) (/.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) y))
(.f64 (/.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) y) (/.f64 x (neg.f64 z)))
(.f64 (.f64 x (/.f64 (sqrt.f64 t) z)) (/.f64 #s(literal 1/18 binary64) y))
(.f64 (.f64 x (sqrt.f64 t)) (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))
(.f64 (/.f64 x z) (/.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y))
(.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z))
(.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (.f64 (sqrt.f64 t) x) y))
(.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (.f64 #s(literal 1/18 binary64) x) z))
(.f64 (.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))
(.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (.f64 (sqrt.f64 t) x) z))
(.f64 (/.f64 (sqrt.f64 t) z) (/.f64 (.f64 #s(literal 1/18 binary64) x) y))
(.f64 (/.f64 (sqrt.f64 t) z) (.f64 (/.f64 #s(literal 1/18 binary64) y) x))
(.f64 (/.f64 (neg.f64 x) y) (/.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z))
(.f64 (/.f64 x y) (.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)))
(.f64 (.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (sqrt.f64 t) y)) x)
(.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 (/.f64 x y) z))
(.f64 (sqrt.f64 t) (.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) x))
(.f64 x (.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (sqrt.f64 t) y)))
(/.f64 (neg.f64 (/.f64 (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) z)) (neg.f64 y))
(/.f64 (neg.f64 (/.f64 (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) y)) (neg.f64 z))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) x)) (neg.f64 y))
(/.f64 (neg.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)))) (neg.f64 y))
(/.f64 (neg.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)))) (neg.f64 (*.f64 (neg.f64 y) z)))
(/.f64 (neg.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) x)) (neg.f64 (*.f64 (neg.f64 y) z)))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x))) (neg.f64 (*.f64 (neg.f64 y) z)))
(/.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (neg.f64 (neg.f64 x))) (*.f64 (neg.f64 z) (neg.f64 (neg.f64 y))))
(/.f64 (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (neg.f64 (neg.f64 x))) (*.f64 z (neg.f64 (neg.f64 y))))
(/.f64 (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (neg.f64 x)) (*.f64 (neg.f64 y) z))
(/.f64 (/.f64 (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) z) y)
(/.f64 (/.f64 (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) y) z)
(/.f64 (.f64 (.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) x) y)
(/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z))) y)
(/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 (neg.f64 y) z))
(/.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (neg.f64 x)) (*.f64 (neg.f64 z) (neg.f64 y)))
(/.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) x) (*.f64 (neg.f64 y) z))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x)) (*.f64 (neg.f64 y) z))
(/.f64 (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))
(*.f64 (/.f64 #s(literal 1/18 binary64) (neg.f64 y)) (/.f64 (neg.f64 (sqrt.f64 t)) z))
(*.f64 (/.f64 #s(literal 1/18 binary64) (neg.f64 z)) (/.f64 (neg.f64 (sqrt.f64 t)) y))
(*.f64 (/.f64 (sqrt.f64 t) (neg.f64 y)) (/.f64 #s(literal -1/18 binary64) z))
(*.f64 (/.f64 (sqrt.f64 t) (neg.f64 z)) (/.f64 #s(literal -1/18 binary64) y))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 t)) y) (/.f64 #s(literal 1/18 binary64) (neg.f64 z)))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 t)) z) (/.f64 #s(literal 1/18 binary64) (neg.f64 y)))
(*.f64 (/.f64 #s(literal -1/18 binary64) z) (/.f64 (sqrt.f64 t) (neg.f64 y)))
(*.f64 (/.f64 #s(literal -1/18 binary64) y) (/.f64 (sqrt.f64 t) (neg.f64 z)))
(*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (sqrt.f64 t) y))
(*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 #s(literal 1/18 binary64) z))
(*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t))
(*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (sqrt.f64 t) z))
(*.f64 (/.f64 (sqrt.f64 t) z) (/.f64 #s(literal 1/18 binary64) y))
(.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (.f64 z y)))
(*.f64 (sqrt.f64 t) (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) y))) (neg.f64 z))
(/.f64 (neg.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64))) (neg.f64 y))
(/.f64 (neg.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y)) (neg.f64 z))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (neg.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)))) (neg.f64 (neg.f64 (.f64 (neg.f64 y) z))))
(/.f64 (.f64 #s(literal -1/18 binary64) (neg.f64 (sqrt.f64 t))) (.f64 (neg.f64 y) (neg.f64 z)))
(/.f64 (.f64 (neg.f64 (sqrt.f64 t)) #s(literal -1/18 binary64)) (.f64 (neg.f64 z) (neg.f64 y)))
(/.f64 (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) y)) z)
(/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y)
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) z)
(/.f64 (neg.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z))) (neg.f64 y))
(/.f64 (neg.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (neg.f64 (.f64 (neg.f64 y) z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y)
(/.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (.f64 (neg.f64 y) z))
(/.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (.f64 z y))
(neg.f64 (*.f64 (/.f64 #s(literal -1/18 binary64) z) (/.f64 (sqrt.f64 t) y)))
(neg.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (neg.f64 y)) (/.f64 (sqrt.f64 t) z)))
(/.f64 (neg.f64 (/.f64 x z)) (neg.f64 y))
(/.f64 (/.f64 x z) y)
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (*.f64 (neg.f64 y) z)))
(/.f64 (neg.f64 x) (*.f64 (neg.f64 y) z))
(/.f64 (/.f64 (neg.f64 x) y) (neg.f64 (neg.f64 (neg.f64 z))))
(/.f64 (/.f64 (neg.f64 x) y) (neg.f64 z))
(/.f64 (/.f64 x y) (neg.f64 (neg.f64 z)))
(/.f64 (/.f64 x y) z)
(/.f64 x (*.f64 z y))
(neg.f64 (/.f64 (/.f64 x y) (neg.f64 z)))

eval132.0ms (1%)

Memory: 2.8MiB live, 103.1MiB allocated; 10ms collecting garbage
Compiler: Compiled 51 401 to 1 842 computations (96.4% saved)

prune71.0ms (0.6%)

Memory

-20.3MiB live, 25.8MiB allocated; 3ms collecting garbage

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	376	1	377
Fresh	0	0	0
Picked	1	0	1
Done	0	3	3
Total	377	4	381

Accuracy

100.0%

Counts

381 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.3%	(.f64 (/.f64 (.f64 #s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (.f64 (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (.f64 z y)) x)) #s(literal 3 binary64)))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (.f64 (asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 x (.f64 z y)))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))
✓	98.4%	(.f64 (/.f64 (.f64 #s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x)) #s(literal 3 binary64)))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (.f64 (asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))
✓	97.8%	(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))))
✓	97.7%	#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (.f64 (acos.f64 (.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)))

Compiler

Compiled 767 to 269 computations (64.9% saved)

regimes36.0ms (0.3%)

Memory

32.5MiB live, 32.5MiB allocated; 0ms collecting garbage

Counts

9 → 1

Calls

Call 1

Inputs
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (.f64 (acos.f64 (.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)))
(.f64 (acos.f64 (.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 1/3 binary64))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(.f64 (/.f64 (.f64 #s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (.f64 (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (.f64 z y)) x)) #s(literal 3 binary64)))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (.f64 (asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 x (.f64 z y)))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 #s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (.f64 (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (.f64 z y)) x)) #s(literal 3 binary64)))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (.f64 (asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 #s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x)) #s(literal 3 binary64)))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (.f64 (asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (.f64 (asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))

Outputs

(*.f64 (/.f64 (*.f64 #s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x)) #s(literal 3 binary64)))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))

Calls

13 calls:

3.0ms	(*.f64 z #s(literal 2 binary64))
3.0ms	(*.f64 y #s(literal 27 binary64))
3.0ms	x
3.0ms	y
3.0ms	z

Results

Accuracy	Segments	Branch
98.4%	1	`(sqrt.f64 t)`
98.4%	1	`(*.f64 z #s(literal 2 binary64))`
98.4%	1	`(*.f64 y #s(literal 27 binary64))`
98.4%	1	`(/.f64 x (*.f64 y #s(literal 27 binary64)))`
98.4%	1	`(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))`
98.4%	1	`(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))`
98.4%	1	`(.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t))`
98.4%	1	`(acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))`
98.4%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))`
98.4%	1	`x`
98.4%	1	`y`
98.4%	1	`z`
98.4%	1	`t`

Compiler

Compiled 83 to 108 computations (-30.1% saved)

regimes53.0ms (0.4%)

Memory

1.5MiB live, 48.8MiB allocated; 1ms collecting garbage

Counts

7 → 1

Calls

Call 1

Inputs
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (.f64 (acos.f64 (.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)))
(.f64 (acos.f64 (.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 1/3 binary64))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(.f64 (/.f64 (.f64 #s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (.f64 (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (.f64 z y)) x)) #s(literal 3 binary64)))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (.f64 (asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 x (.f64 z y)))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 #s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (.f64 (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (.f64 z y)) x)) #s(literal 3 binary64)))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (.f64 (asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))

Outputs

(*.f64 (/.f64 (*.f64 #s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (*.f64 z y)) x)) #s(literal 3 binary64)))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))

Calls

13 calls:

25.0ms	(acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
2.0ms	y
2.0ms	x
2.0ms	(*.f64 y #s(literal 27 binary64))
2.0ms	t

Results

Accuracy	Segments	Branch
98.4%	1	`(sqrt.f64 t)`
98.4%	1	`(*.f64 z #s(literal 2 binary64))`
98.4%	1	`(*.f64 y #s(literal 27 binary64))`
98.4%	1	`(/.f64 x (*.f64 y #s(literal 27 binary64)))`
98.4%	1	`(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))`
98.4%	1	`(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))`
98.4%	1	`(.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t))`
98.4%	1	`(acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))`
98.4%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))`
98.4%	1	`x`
98.4%	1	`y`
98.4%	1	`z`
98.4%	1	`t`

Compiler

Compiled 83 to 108 computations (-30.1% saved)

regimes50.0ms (0.4%)

Memory

-9.9MiB live, 38.6MiB allocated; 12ms collecting garbage

Counts

6 → 1

Calls

Call 1

Inputs
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (.f64 (acos.f64 (.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)))
(.f64 (acos.f64 (.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 1/3 binary64))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(.f64 (/.f64 (.f64 #s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (.f64 (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (.f64 z y)) x)) #s(literal 3 binary64)))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (.f64 (asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 x (.f64 z y)))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))

Outputs

(*.f64 (/.f64 (*.f64 #s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (*.f64 z y)) x)) #s(literal 3 binary64)))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 x (*.f64 z y)))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))

Calls

13 calls:

24.0ms	y
2.0ms	(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))
2.0ms	(*.f64 z #s(literal 2 binary64))
2.0ms	(sqrt.f64 t)
2.0ms	z

Results

Accuracy	Segments	Branch
98.3%	1	`(sqrt.f64 t)`
98.3%	1	`(*.f64 z #s(literal 2 binary64))`
98.3%	1	`(*.f64 y #s(literal 27 binary64))`
98.3%	1	`(/.f64 x (*.f64 y #s(literal 27 binary64)))`
98.3%	1	`(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))`
98.3%	1	`(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))`
98.3%	1	`(.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t))`
98.3%	1	`(acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))`
98.3%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))`
98.3%	1	`x`
98.3%	1	`y`
98.3%	1	`z`
98.3%	1	`t`

Compiler

Compiled 83 to 108 computations (-30.1% saved)

regimes32.0ms (0.3%)

Memory

5.1MiB live, 49.9MiB allocated; 3ms collecting garbage

Accuracy

Total -1.7b remaining (-126.6%)

Threshold costs -1.7b (-126.6%)

Counts

5 → 1

Calls

Call 1

Inputs
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (.f64 (acos.f64 (.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)))
(.f64 (acos.f64 (.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 1/3 binary64))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))

Outputs
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))))

Calls

13 calls:

9.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
2.0ms	z
2.0ms	(*.f64 z #s(literal 2 binary64))
2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
97.8%	1	`(sqrt.f64 t)`
97.8%	1	`(*.f64 z #s(literal 2 binary64))`
97.8%	1	`(*.f64 y #s(literal 27 binary64))`
97.8%	1	`(/.f64 x (*.f64 y #s(literal 27 binary64)))`
97.8%	1	`(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))`
97.8%	1	`(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))`
97.8%	1	`(.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t))`
97.8%	1	`(acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))`
97.8%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))`
97.8%	1	`x`
97.8%	1	`y`
97.8%	1	`z`
97.8%	1	`t`

Compiler

Compiled 83 to 108 computations (-30.1% saved)

simplify62.0ms (0.5%)

Memory

-11.2MiB live, 35.6MiB allocated; 3ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	331
1	115	331
2	222	331
3	491	331
4	1155	331
5	2608	331
6	4478	331
7	7236	331

Stop Event

1×	node limit

Calls

Call 1

Inputs
(.f64 (/.f64 (.f64 #s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x)) #s(literal 3 binary64)))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (.f64 (asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 #s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (.f64 (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (.f64 z y)) x)) #s(literal 3 binary64)))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (.f64 (asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 #s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (.f64 (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (.f64 z y)) x)) #s(literal 3 binary64)))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (.f64 (asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 x (.f64 z y)))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))))

Outputs
(.f64 (/.f64 (.f64 #s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x)) #s(literal 3 binary64)))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (.f64 (asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 #s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (.f64 (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (.f64 z y)) x)) #s(literal 3 binary64)))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (.f64 (asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 #s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (.f64 (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (.f64 z y)) x)) #s(literal 3 binary64)))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (.f64 (asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 x (.f64 z y)))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))))

derivations758.0ms (6%)

Memory

-9.4MiB live, 707.6MiB allocated; 66ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	63	389
0	96	389
1	301	381
2	1736	381
0	8318	381
0	31	68
1	68	65
2	205	63
3	731	63
4	2596	63
5	4597	63
6	5492	63
7	6391	63
8	6503	63
9	6507	63
10	7043	63
0	8283	63
0	88	610
1	203	562
2	618	552
3	2594	552
4	6990	552
0	8247	550
0	18	55
0	29	55
1	63	47
2	240	41
3	1461	41
0	8680	41
0	50	288
0	77	288
1	253	288
2	1555	288
0	8235	288
0	59	394
0	95	394
1	283	386
2	1564	378
0	8256	378

Stop Event

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

Compiler

Compiled 331 to 80 computations (75.8% saved)

preprocess58.0ms (0.5%)

Memory: 1.0MiB live, 95.2MiB allocated; 5ms collecting garbage
Remove: (sort y z)
Compiler: Compiled 938 to 334 computations (64.4% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze431.0ms (3.4%)

sample5.8s (46.5%)

explain227.0ms (1.8%)

preprocess257.0ms (2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify154.0ms (1.2%)

localize69.0ms (0.6%)

series33.0ms (0.3%)

simplify130.0ms (1%)

rewrite199.0ms (1.6%)

eval134.0ms (1.1%)

prune12.0ms (0.1%)

simplify128.0ms (1%)

localize202.0ms (1.6%)

series159.0ms (1.3%)

simplify141.0ms (1.1%)

rewrite373.0ms (3%)

eval334.0ms (2.7%)

prune77.0ms (0.6%)

simplify180.0ms (1.4%)

localize150.0ms (1.2%)

series302.0ms (2.4%)

simplify154.0ms (1.2%)

rewrite314.0ms (2.5%)

eval122.0ms (1%)

prune164.0ms (1.3%)

simplify196.0ms (1.6%)

localize242.0ms (1.9%)

series117.0ms (0.9%)

simplify151.0ms (1.2%)

rewrite302.0ms (2.4%)

eval132.0ms (1%)

prune71.0ms (0.6%)

regimes36.0ms (0.3%)

regimes53.0ms (0.4%)

regimes50.0ms (0.4%)

regimes32.0ms (0.3%)

simplify62.0ms (0.5%)

derivations758.0ms (6%)

preprocess58.0ms (0.5%)

end0.0ms (0%)

Profiling