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

analyze352.0ms (1%)

Memory

-13.9MiB live, 616.6MiB allocated

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)

sample5.1s (14.4%)

Memory

99.9MiB live, 6 897.8MiB allocated

Samples

2.7s	15 534×	0	invalid
1.3s	8 256×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 2.6s

ival-mult: 1.5s (58.1% of total)

ival-div: 659.0ms (25% of total)

ival-acos: 205.0ms (7.8% of total)

ival-sqrt: 177.0ms (6.7% of total)

exact: 41.0ms (1.6% of total)

ival-true: 16.0ms (0.6% of total)

ival-assert: 9.0ms (0.3% of total)

Bogosity

preprocess169.0ms (0.5%)

Memory

2.0MiB live, 115.8MiB allocated

Algorithm

1×	egg-herbie

Rules

2 044×	`-lowering-.f32`
2 044×	`-lowering-.f64`
1 530×	`unsub-neg`
1 430×	`associate-*r/`
1 168×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	89	246
1	275	212
2	967	184
3	3633	184
4	4322	184
5	5222	184
6	6504	184
0	19	17
1	39	15
2	117	13
3	392	13
4	1386	13
5	3148	13
6	3240	13
7	3290	13
8	3290	13
9	3290	13
10	3913	13
11	3952	13
12	3952	13
0	3952	13

Stop Event

1×	iter limit
1×	saturated
1×	node limit

Calls

Call 1

Inputs
(* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))))

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

Symmetry

(sort y z)

explain284.0ms (0.8%)

Memory

-65.9MiB live, 345.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
21	-	3	(-1.4601642793837031e-218 -3.9782284726606614e+96 -6.264314445327341e-228 1.4252293173961427e-225)	`(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))`
13	-	3	(-3.346873730702617e-187 -1.079890382269539e+113 16304755265855.229 9.002105844790537e+85)	`(.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t))`
1	-	0	-	`(/.f64 x (*.f64 y #s(literal 27 binary64)))`
0	-	0	-	`t`
0	-	0	-	`#s(literal 3 binary64)`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))`
0	-	0	-	`(*.f64 y #s(literal 27 binary64))`
0	-	0	-	`y`
0	-	0	-	`#s(literal 27 binary64)`
0	-	0	-	`z`
0	-	0	-	`(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))`
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	-	`#s(literal 2 binary64)`
0	-	0	-	`(*.f64 z #s(literal 2 binary64))`
0	-	0	-	`(sqrt.f64 t)`
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	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))`	u/n	15	0
↳	`(/.f64 x (*.f64 y #s(literal 27 binary64)))`	underflow	50
↳	`(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))`	underflow	50
`*.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**	10	0
`/.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	1
↳	`(/.f64 x (*.f64 y #s(literal 27 binary64)))`	overflow	2
↳	`(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))`	overflow	2
`/.f64`	`(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))`	n/o	1	0
↳	`(*.f64 z #s(literal 2 binary64))`	overflow	1
`/.f64`	`(/.f64 x (*.f64 y #s(literal 27 binary64)))`	n/o	1	0
↳	`(*.f64 y #s(literal 27 binary64))`	overflow	1

Confusion

	Predicted +	Predicted -
+	2	0
-	27	227

Precision

0.06896551724137931

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	2	0	0
-	27	0	227

Precision?

0.06896551724137931

Recall?

1.0

Freqs

test

number	freq
0	227
1	29

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

133.0ms

512×

valid

Compiler

Compiled 230 to 76 computations (67% saved)

Precisions

Click to see histograms. Total time spent on operations: 78.0ms

ival-sqrt: 33.0ms (42.1% of total)

ival-mult: 29.0ms (37% of total)

ival-div: 11.0ms (14% of total)

ival-acos: 5.0ms (6.4% of total)

exact: 1.0ms (1.3% of total)

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

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

eval0.0ms (0%)

Memory: 0.6MiB live, 0.6MiB allocated
Compiler: Compiled 4 to 4 computations (0% saved)

prune1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.7%	(.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

▶

97.7%

(*.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 23 to 18 computations (21.7% saved)

simplify86.0ms (0.2%)

Memory

30.4MiB live, 146.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	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	320	(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))
✓	cost-diff	704	(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))

Rules

2 044×	`-lowering-.f32`
2 044×	`-lowering-.f64`
1 430×	`associate-*r/`
1 168×	`associate-r`
1 118×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	86
1	39	76
2	117	68
3	392	68
4	1386	68
5	3148	68
6	3240	68
7	3290	68
8	3290	68
9	3290	68
10	3913	68
11	3952	68
12	3952	68
0	3952	68

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))))
(/ 1 3)
1
3
(acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))
(* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))
(/ (* 3 (/ x (* y 27))) (* z 2))
(* 3 (/ x (* y 27)))
(/ x (* y 27))
x
(* y 27)
y
27
(* z 2)
z
2
(sqrt t)
t

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

localize57.0ms (0.2%)

Memory

-19.5MiB live, 136.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.3%	(/.f64 x (*.f64 y #s(literal 27 binary64)))
✓	accuracy	98.5%	(.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	96.1%	(.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
✓	accuracy	92.9%	(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))

Samples

35.0ms

256×

valid

Compiler

Compiled 92 to 20 computations (78.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-mult: 9.0ms (43.2% of total)

ival-div: 6.0ms (28.8% of total)

ival-sqrt: 3.0ms (14.4% of total)

ival-acos: 2.0ms (9.6% of total)

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

exact: 0.0ms (0% of total)

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

series33.0ms (0.1%)

Memory

17.0MiB live, 64.4MiB allocated

Counts

6 → 180

Calls

Call 1

Inputs
#<alt (/ 1 3)>
#<alt (/ (* 3 (/ x (* y 27))) (* z 2))>
#<alt (* 3 (/ x (* y 27)))>
#<alt (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))))>
#<alt (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))>
#<alt (/ x (* y 27))>

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

Calls

45 calls:

Time	Variable		Point	Expression
6.0ms	t	@	0	(* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))))
3.0ms	x	@	0	(/ x (* y 27))
2.0ms	x	@	inf	(* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))))
1.0ms	z	@	0	(/ (* 3 (/ x (* y 27))) (* z 2))
1.0ms	t	@	-inf	(* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))

rewrite311.0ms (0.9%)

Memory

3.2MiB live, 541.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 832×	`-lowering-.f32`
5 832×	`-lowering-.f64`
3 672×	`/-lowering-/.f32`
3 672×	`/-lowering-/.f64`
1 650×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	55
1	59	47
2	377	41
3	3741	41
0	8207	41

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 588

Calls

Call 1

Inputs
(/ 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))

Outputs
#s(literal 1/3 binary64)
(exp.f64 (.f64 (log.f64 (.f64 (.f64 z (/.f64 (.f64 y #s(literal 27 binary64)) x)) #s(literal 2/3 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (.f64 #s(literal 3 binary64) x) (.f64 z (*.f64 #s(literal -54 binary64) y))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 z #s(literal -2 binary64))) (/.f64 (.f64 #s(literal 3 binary64) x) (.f64 z (.f64 #s(literal -54 binary64) y))))
(neg.f64 (/.f64 (.f64 #s(literal 3 binary64) x) (.f64 z (*.f64 #s(literal -54 binary64) y))))
(neg.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 3 binary64) x) (.f64 z (.f64 #s(literal -54 binary64) y)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 z (/.f64 (*.f64 y #s(literal 27 binary64)) x)) #s(literal 2/3 binary64))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 z (/.f64 (*.f64 y #s(literal 27 binary64)) x)) #s(literal 2/3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 (.f64 #s(literal 3 binary64) x) (.f64 #s(literal 54 binary64) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 y #s(literal 27 binary64)) (.f64 x (/.f64 #s(literal 3/2 binary64) z))))
(/.f64 #s(literal 3 binary64) (.f64 z (/.f64 (.f64 #s(literal 54 binary64) y) x)))
(/.f64 #s(literal 3 binary64) (.f64 (/.f64 (.f64 #s(literal 54 binary64) y) x) z))
(/.f64 x (.f64 (.f64 z #s(literal 1/3 binary64)) (*.f64 #s(literal 54 binary64) y)))
(/.f64 x (.f64 (.f64 #s(literal 54 binary64) y) (*.f64 z #s(literal 1/3 binary64))))
(/.f64 (/.f64 x (.f64 y #s(literal 27 binary64))) (.f64 z #s(literal 2/3 binary64)))
(/.f64 (/.f64 x (.f64 y #s(literal 27 binary64))) (.f64 (*.f64 z #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(/.f64 (/.f64 (.f64 x #s(literal 1/9 binary64)) y) (.f64 z #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) (.f64 z (.f64 (/.f64 y x) #s(literal 9 binary64))))
(/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (/.f64 y x) #s(literal 9 binary64)) z))
(/.f64 (.f64 (/.f64 x y) #s(literal -1/9 binary64)) (.f64 z #s(literal -2 binary64)))
(/.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 (*.f64 #s(literal 54 binary64) y) x))
(/.f64 (.f64 (/.f64 x y) #s(literal 1/54 binary64)) (.f64 z #s(literal 1/3 binary64)))
(/.f64 (/.f64 #s(literal 1/2 binary64) z) (*.f64 (/.f64 y x) #s(literal 9 binary64)))
(/.f64 (.f64 #s(literal 3 binary64) x) (.f64 z (*.f64 #s(literal 54 binary64) y)))
(/.f64 (.f64 #s(literal 3 binary64) x) (.f64 (.f64 y #s(literal -27 binary64)) (.f64 z #s(literal -2 binary64))))
(/.f64 (.f64 #s(literal 3 binary64) x) (.f64 (.f64 z #s(literal -2 binary64)) (.f64 y #s(literal -27 binary64))))
(/.f64 (/.f64 x y) (.f64 (.f64 z #s(literal 1/3 binary64)) #s(literal 54 binary64)))
(/.f64 (/.f64 (.f64 x #s(literal 1/9 binary64)) (.f64 z y)) #s(literal 2 binary64))
(/.f64 #s(literal -1 binary64) (.f64 (.f64 z (/.f64 (*.f64 y #s(literal 27 binary64)) x)) #s(literal -2/3 binary64)))
(/.f64 #s(literal -1 binary64) (.f64 (.f64 (/.f64 y x) #s(literal 9 binary64)) (*.f64 z #s(literal -2 binary64))))
(/.f64 (neg.f64 (/.f64 (.f64 x #s(literal 1/9 binary64)) (.f64 z y))) #s(literal -2 binary64))
(/.f64 (/.f64 x (.f64 y #s(literal -27 binary64))) (.f64 (*.f64 z #s(literal 1/3 binary64)) #s(literal -2 binary64)))
(/.f64 #s(literal -3 binary64) (.f64 (/.f64 (.f64 y #s(literal -27 binary64)) x) (*.f64 z #s(literal 2 binary64))))
(/.f64 #s(literal -3 binary64) (.f64 (/.f64 (.f64 y #s(literal 27 binary64)) x) (*.f64 z #s(literal -2 binary64))))
(/.f64 #s(literal -3 binary64) (.f64 (neg.f64 z) (/.f64 (.f64 #s(literal 54 binary64) y) x)))
(/.f64 #s(literal -3 binary64) (.f64 (/.f64 (.f64 #s(literal 54 binary64) y) x) (neg.f64 z)))
(/.f64 #s(literal -3 binary64) (.f64 (.f64 z #s(literal -2 binary64)) (/.f64 (*.f64 y #s(literal 27 binary64)) x)))
(/.f64 (.f64 x #s(literal -3 binary64)) (.f64 z (*.f64 #s(literal -54 binary64) y)))
(/.f64 (.f64 x #s(literal -3 binary64)) (.f64 (neg.f64 z) (*.f64 #s(literal 54 binary64) y)))
(/.f64 (.f64 x #s(literal -3 binary64)) (.f64 (*.f64 #s(literal 54 binary64) y) (neg.f64 z)))
(/.f64 (.f64 x #s(literal -3 binary64)) (.f64 (*.f64 #s(literal -54 binary64) y) z))
(/.f64 (/.f64 (.f64 #s(literal 3 binary64) x) (.f64 #s(literal 54 binary64) y)) z)
(/.f64 #s(literal 3/2 binary64) (.f64 z (/.f64 (.f64 y #s(literal 27 binary64)) x)))
(/.f64 #s(literal 3/2 binary64) (.f64 (/.f64 (.f64 y #s(literal 27 binary64)) x) z))
(/.f64 (/.f64 x (.f64 (.f64 y #s(literal 27 binary64)) z)) #s(literal 2/3 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) z) (.f64 #s(literal 2 binary64) (.f64 (/.f64 y x) #s(literal 9 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) z) (.f64 (.f64 (/.f64 y x) #s(literal 9 binary64)) #s(literal 2 binary64)))
(/.f64 (/.f64 (.f64 #s(literal 3 binary64) x) y) (.f64 z #s(literal 54 binary64)))
(/.f64 (/.f64 (.f64 #s(literal 3 binary64) x) y) (.f64 #s(literal 54 binary64) z))
(/.f64 (.f64 x (/.f64 #s(literal 3/2 binary64) z)) (.f64 y #s(literal 27 binary64)))
(/.f64 (.f64 x #s(literal 1/9 binary64)) (.f64 (*.f64 z #s(literal 2 binary64)) y))
(/.f64 (/.f64 #s(literal 3/2 binary64) z) (/.f64 (*.f64 y #s(literal 27 binary64)) x))
(/.f64 (.f64 (neg.f64 (/.f64 x y)) #s(literal 3 binary64)) (.f64 #s(literal -27 binary64) (*.f64 z #s(literal 2 binary64))))
(/.f64 (.f64 (.f64 x #s(literal 1/27 binary64)) #s(literal 3 binary64)) (.f64 y (.f64 z #s(literal 2 binary64))))
(/.f64 (.f64 (.f64 #s(literal 3 binary64) x) #s(literal 1/2 binary64)) (.f64 (.f64 y #s(literal 27 binary64)) z))
(/.f64 (.f64 (.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) (.f64 (.f64 y #s(literal 27 binary64)) (*.f64 z #s(literal -2 binary64))))
(/.f64 (.f64 (.f64 #s(literal 3 binary64) x) (/.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal 54 binary64) y))
(/.f64 (.f64 (.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) (.f64 z (.f64 #s(literal -54 binary64) y)))
(/.f64 (.f64 (.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) (.f64 (.f64 y #s(literal 27 binary64)) (*.f64 z #s(literal -2 binary64))))
(/.f64 (.f64 (.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64)) (.f64 (.f64 y #s(literal -27 binary64)) z))
(/.f64 (.f64 (.f64 x #s(literal -3 binary64)) #s(literal -1 binary64)) (.f64 (.f64 y #s(literal -27 binary64)) (*.f64 z #s(literal -2 binary64))))
(/.f64 (.f64 (.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -54 binary64) y))
(/.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) x) y) #s(literal 1 binary64)) (*.f64 z #s(literal 54 binary64)))
(/.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) x) y) #s(literal 1/2 binary64)) (*.f64 #s(literal 27 binary64) z))
(/.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) x) y) #s(literal -1 binary64)) (.f64 #s(literal 27 binary64) (.f64 z #s(literal -2 binary64))))
(/.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) x) y) (/.f64 #s(literal 1 binary64) z)) #s(literal 54 binary64))
(/.f64 (.f64 (.f64 x #s(literal 1/9 binary64)) #s(literal 1 binary64)) (.f64 y (.f64 z #s(literal 2 binary64))))
(/.f64 (.f64 (.f64 x #s(literal 1/9 binary64)) #s(literal 1/2 binary64)) (*.f64 y z))
(/.f64 (.f64 (.f64 x #s(literal 1/9 binary64)) #s(literal -1 binary64)) (.f64 y (.f64 z #s(literal -2 binary64))))
(/.f64 (.f64 (.f64 x #s(literal 1/9 binary64)) (/.f64 #s(literal 1 binary64) z)) (*.f64 y #s(literal 2 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (.f64 (.f64 z #s(literal 1/3 binary64)) (.f64 #s(literal -54 binary64) y)))
(/.f64 (.f64 #s(literal -3 binary64) (neg.f64 x)) (.f64 (neg.f64 z) (*.f64 #s(literal -54 binary64) y)))
(/.f64 (.f64 #s(literal -3 binary64) (/.f64 x y)) (.f64 (neg.f64 z) #s(literal 54 binary64)))
(/.f64 (.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 (.f64 #s(literal -54 binary64) y) (.f64 z #s(literal 1/3 binary64))))
(/.f64 (.f64 (neg.f64 x) #s(literal -3 binary64)) (.f64 (*.f64 #s(literal -54 binary64) y) (neg.f64 z)))
(/.f64 (.f64 (/.f64 x y) #s(literal 1 binary64)) (.f64 #s(literal 54 binary64) (*.f64 z #s(literal 1/3 binary64))))
(/.f64 (.f64 (/.f64 x y) #s(literal -3 binary64)) (.f64 #s(literal 54 binary64) (neg.f64 z)))
(/.f64 (.f64 (/.f64 x (.f64 y #s(literal -27 binary64))) #s(literal 1 binary64)) (.f64 #s(literal -2 binary64) (.f64 z #s(literal 1/3 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 x #s(literal -3 binary64))) (.f64 z (.f64 #s(literal -54 binary64) y)))
(/.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 3 binary64) x) y)) (*.f64 z #s(literal 54 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/9 binary64))) (.f64 (.f64 z #s(literal 2 binary64)) y))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 3 binary64) x)) (.f64 (.f64 y #s(literal 27 binary64)) z))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -3 binary64))) (.f64 z (.f64 y #s(literal -27 binary64))))
(/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 3 binary64) x) y)) (*.f64 z #s(literal 27 binary64)))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/9 binary64))) (*.f64 z y))
(/.f64 (.f64 #s(literal -1 binary64) (.f64 x #s(literal -3 binary64))) (.f64 (.f64 z #s(literal -2 binary64)) (*.f64 y #s(literal -27 binary64))))
(/.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 3 binary64) x) y)) (.f64 (.f64 z #s(literal -2 binary64)) #s(literal 27 binary64)))
(/.f64 (.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/9 binary64))) (.f64 (.f64 z #s(literal -2 binary64)) y))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (*.f64 (/.f64 y x) #s(literal 9 binary64))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 #s(literal 3 binary64) x)) (*.f64 #s(literal 54 binary64) y))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 x #s(literal -3 binary64))) (*.f64 #s(literal -54 binary64) y))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (.f64 #s(literal 3 binary64) x) y)) #s(literal 54 binary64))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 x #s(literal 1/9 binary64))) (*.f64 #s(literal 2 binary64) y))
(/.f64 (neg.f64 (/.f64 (.f64 #s(literal 3 binary64) x) (.f64 #s(literal 54 binary64) y))) (neg.f64 z))
(/.f64 (neg.f64 (.f64 x (/.f64 #s(literal 3/2 binary64) z))) (.f64 y #s(literal -27 binary64)))
(/.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal -1/9 binary64)) #s(literal 2 binary64)) (neg.f64 z))
(/.f64 (.f64 #s(literal 3/2 binary64) (/.f64 x z)) (.f64 y #s(literal 27 binary64)))
(/.f64 (/.f64 (.f64 (/.f64 x y) #s(literal -1/9 binary64)) #s(literal -1 binary64)) (.f64 z #s(literal 2 binary64)))
(/.f64 (.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 x (.f64 y #s(literal -27 binary64)))) #s(literal -2 binary64))
(/.f64 (.f64 (/.f64 #s(literal 3 binary64) z) x) (.f64 #s(literal 54 binary64) y))
(/.f64 (.f64 (/.f64 #s(literal 3 binary64) z) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal 54 binary64) y) x))
(/.f64 (.f64 (/.f64 #s(literal 3 binary64) z) (neg.f64 x)) (.f64 #s(literal -54 binary64) y))
(/.f64 (*.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 x y)) #s(literal 54 binary64))
(/.f64 (.f64 x (/.f64 #s(literal 3 binary64) z)) (.f64 #s(literal 54 binary64) y))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (.f64 x #s(literal 1/9 binary64)) (*.f64 z y)))) #s(literal -2 binary64))
(/.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 54 binary64) y))) z)
(/.f64 (.f64 #s(literal 1 binary64) (.f64 x (/.f64 #s(literal 3/2 binary64) z))) (*.f64 y #s(literal 27 binary64)))
(/.f64 (.f64 (.f64 (/.f64 x y) #s(literal -1/9 binary64)) #s(literal 1 binary64)) (*.f64 z #s(literal -2 binary64)))
(/.f64 (.f64 (.f64 (/.f64 x y) #s(literal 1/54 binary64)) #s(literal 1 binary64)) (*.f64 z #s(literal 1/3 binary64)))
(/.f64 (.f64 (.f64 (/.f64 x y) #s(literal 1/54 binary64)) #s(literal -3 binary64)) (neg.f64 z))
(/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) z) (.f64 x #s(literal -3 binary64))) (*.f64 y #s(literal -27 binary64)))
(/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (.f64 #s(literal 3 binary64) x) y)) #s(literal 27 binary64))
(/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) z) (.f64 x #s(literal 1/9 binary64))) y)
(/.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/2 binary64) z)) (/.f64 (.f64 y #s(literal 27 binary64)) x))
(/.f64 (.f64 (neg.f64 x) (/.f64 #s(literal 3/2 binary64) z)) (.f64 y #s(literal -27 binary64)))
(/.f64 (*.f64 (/.f64 x y) (/.f64 #s(literal 3/2 binary64) z)) #s(literal 27 binary64))
(/.f64 (.f64 #s(literal -1 binary64) (/.f64 #s(literal 3/2 binary64) z)) (/.f64 (.f64 y #s(literal -27 binary64)) x))
(/.f64 (*.f64 (neg.f64 (/.f64 x y)) (/.f64 #s(literal 3/2 binary64) z)) #s(literal -27 binary64))
(/.f64 (.f64 (.f64 x #s(literal 1/27 binary64)) (/.f64 #s(literal 3/2 binary64) z)) y)
(/.f64 (.f64 (.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) z)) (*.f64 y #s(literal -27 binary64)))
(/.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) x) y) (/.f64 #s(literal 1/2 binary64) z)) #s(literal 27 binary64))
(/.f64 (.f64 (.f64 x #s(literal 1/9 binary64)) (/.f64 #s(literal 1/2 binary64) z)) y)
(/.f64 (.f64 (.f64 #s(literal 3 binary64) x) (/.f64 #s(literal -1/2 binary64) z)) (*.f64 y #s(literal -27 binary64)))
(/.f64 (.f64 (.f64 x #s(literal -3 binary64)) (/.f64 #s(literal -1/2 binary64) z)) (*.f64 y #s(literal 27 binary64)))
(/.f64 (.f64 #s(literal -3 binary64) (.f64 (/.f64 x y) #s(literal 1/54 binary64))) (neg.f64 z))
(/.f64 (.f64 (neg.f64 x) (/.f64 #s(literal 3 binary64) z)) (.f64 #s(literal -54 binary64) y))
(/.f64 (*.f64 (/.f64 x y) (/.f64 #s(literal 3 binary64) z)) #s(literal 54 binary64))
(/.f64 (.f64 (.f64 (/.f64 x y) #s(literal -1/9 binary64)) #s(literal 1/2 binary64)) (neg.f64 z))
(/.f64 (/.f64 (*.f64 x (/.f64 #s(literal 3/2 binary64) z)) y) #s(literal 27 binary64))
(/.f64 (/.f64 (*.f64 x (/.f64 #s(literal 3/2 binary64) z)) #s(literal 27 binary64)) y)
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 (.f64 z (/.f64 (.f64 y #s(literal 27 binary64)) x)) #s(literal -2/3 binary64))) (.f64 (.f64 z #s(literal -2 binary64)) #s(literal 1 binary64))) (.f64 (.f64 z #s(literal -2 binary64)) (.f64 (.f64 z (/.f64 (*.f64 y #s(literal 27 binary64)) x)) #s(literal -2/3 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 (.f64 z #s(literal -2 binary64)) (/.f64 (.f64 y #s(literal 27 binary64)) x))) (.f64 (.f64 z #s(literal -2 binary64)) #s(literal 3 binary64))) (.f64 (.f64 z #s(literal -2 binary64)) (.f64 (.f64 z #s(literal -2 binary64)) (/.f64 (*.f64 y #s(literal 27 binary64)) x))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 z #s(literal -2 binary64))) (.f64 (.f64 z #s(literal -2 binary64)) (/.f64 (.f64 x #s(literal 1/9 binary64)) y))) (.f64 (.f64 z #s(literal 2 binary64)) (.f64 z #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 z #s(literal 2 binary64))) (.f64 (.f64 z #s(literal -2 binary64)) (.f64 (/.f64 x y) #s(literal -1/9 binary64)))) (.f64 (.f64 z #s(literal -2 binary64)) (.f64 z #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 z (.f64 #s(literal -54 binary64) y))) (.f64 (.f64 z #s(literal -2 binary64)) (.f64 #s(literal 3 binary64) x))) (.f64 (.f64 z #s(literal -2 binary64)) (.f64 z (.f64 #s(literal -54 binary64) y))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 z #s(literal -2 binary64)) (/.f64 (.f64 x #s(literal 1/9 binary64)) (.f64 z y)))) (.f64 (.f64 z #s(literal -2 binary64)) #s(literal -2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 z #s(literal -2 binary64)) (neg.f64 (/.f64 (.f64 x #s(literal 1/9 binary64)) (.f64 z y))))) (.f64 (.f64 z #s(literal -2 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 z (.f64 #s(literal 54 binary64) y))) (.f64 (.f64 z #s(literal -2 binary64)) (.f64 x #s(literal -3 binary64)))) (.f64 (.f64 z #s(literal -2 binary64)) (.f64 z (.f64 #s(literal 54 binary64) y))))
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(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y #s(literal -27 binary64)) (neg.f64 (/.f64 x y)))) (.f64 (.f64 y #s(literal -27 binary64)) #s(literal 27 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 y)) (.f64 (.f64 y #s(literal -27 binary64)) (.f64 x #s(literal 1/27 binary64)))) (.f64 (.f64 y #s(literal -27 binary64)) (neg.f64 y)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) y) (.f64 (.f64 y #s(literal -27 binary64)) (neg.f64 (.f64 x #s(literal 1/27 binary64))))) (.f64 (.f64 y #s(literal -27 binary64)) y))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 y #s(literal 27 binary64))) (.f64 (.f64 y #s(literal -27 binary64)) (/.f64 x #s(literal -1 binary64)))) (.f64 (.f64 y #s(literal -27 binary64)) (*.f64 y #s(literal 27 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) y) (.f64 (.f64 y #s(literal -27 binary64)) (/.f64 x #s(literal -27 binary64)))) (.f64 (*.f64 y #s(literal -27 binary64)) y))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) y) (.f64 (.f64 y #s(literal -27 binary64)) (/.f64 (neg.f64 x) #s(literal 27 binary64)))) (.f64 (*.f64 y #s(literal -27 binary64)) y))
(pow.f64 (/.f64 x (*.f64 y #s(literal 27 binary64))) #s(literal 1 binary64))
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(pow.f64 (.f64 (/.f64 (.f64 y #s(literal 27 binary64)) x) (/.f64 (*.f64 y #s(literal 27 binary64)) x)) #s(literal -1/2 binary64))
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(.f64 #s(literal 1 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))
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(*.f64 (/.f64 #s(literal 1/27 binary64) y) x)
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(*.f64 (/.f64 #s(literal 1/27 binary64) y) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64)))
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(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x #s(literal 1/27 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 (/.f64 #s(literal 27 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1/27 binary64) y) (neg.f64 x))
(*.f64 (/.f64 #s(literal -1/27 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal -1 binary64)))
(*.f64 #s(literal 1/27 binary64) (/.f64 x y))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/27 binary64) y))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal -1/27 binary64) y))
(*.f64 #s(literal -1/27 binary64) (neg.f64 (/.f64 x y)))
(*.f64 #s(literal -1/27 binary64) (pow.f64 (/.f64 (neg.f64 y) x) #s(literal -1 binary64)))
(*.f64 #s(literal -1/27 binary64) (pow.f64 (/.f64 y (neg.f64 x)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x #s(literal -27 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y)) (pow.f64 (/.f64 #s(literal 27 binary64) (neg.f64 x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 x (.f64 y #s(literal 27 binary64))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x (*.f64 y #s(literal 27 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal -1/27 binary64) y))
(*.f64 (pow.f64 (/.f64 #s(literal 27 binary64) (neg.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (pow.f64 (/.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -27 binary64) x) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 x #s(literal 1/27 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 x y))) #s(literal -1 binary64)) #s(literal -1/27 binary64))

simplify194.0ms (0.5%)

Memory

1.7MiB live, 321.1MiB allocated

Algorithm

1×	egg-herbie

Rules

4 158×	`-lowering-.f32`
4 158×	`-lowering-.f64`
3 468×	`/-lowering-/.f32`
3 468×	`/-lowering-/.f64`
1 212×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	31	1616
1	66	1604
2	197	1596
3	725	1596
4	2560	1596
5	4452	1596
6	6233	1596
0	8092	1596

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

Calls

Call 1

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

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

eval113.0ms (0.3%)

Memory: 29.9MiB live, 183.9MiB allocated
Compiler: Compiled 14 488 to 3 053 computations (78.9% saved)

prune99.0ms (0.3%)

Memory

-33.5MiB live, 219.2MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	762	6	768
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	763	6	769

Accuracy

98.5%

Counts

769 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.9%	(fma.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1/3 binary64) (.f64 (neg.f64 (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 3 binary64) (sqrt.f64 t))) (.f64 z (.f64 #s(literal 54 binary64) y))))) #s(literal 1/3 binary64)))
	96.9%	(/.f64 (.f64 (-.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 3 binary64) (sqrt.f64 t))) (.f64 z (.f64 #s(literal 54 binary64) y)))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 3 binary64) (sqrt.f64 t))) (.f64 z (.f64 #s(literal 54 binary64) y)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 3 binary64) (sqrt.f64 t))) (.f64 z (.f64 #s(literal 54 binary64) y))))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
▶	96.9%	(/.f64 (.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 3 binary64) (sqrt.f64 t))) (.f64 z (.f64 #s(literal 54 binary64) y)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 3 binary64) (sqrt.f64 t))) (.f64 z (*.f64 #s(literal 54 binary64) y))))))
▶	98.1%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z))) (sqrt.f64 t))))
▶	96.9%	(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))))
▶	97.7%	(.f64 #s(literal 1/3 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 382 to 236 computations (38.2% saved)

simplify351.0ms (1%)

Memory

3.9MiB live, 316.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 3 binary64) (sqrt.f64 t))) (.f64 z (.f64 #s(literal 54 binary64) y)))) #s(literal 2 binary64)))
✓	cost-diff	0	(/.f64 (.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 3 binary64) (sqrt.f64 t))) (.f64 z (.f64 #s(literal 54 binary64) y)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 3 binary64) (sqrt.f64 t))) (.f64 z (*.f64 #s(literal 54 binary64) y))))))
✓	cost-diff	128	(.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 3 binary64) (sqrt.f64 t))) (.f64 z (*.f64 #s(literal 54 binary64) y)))) #s(literal 2 binary64))) #s(literal 1/3 binary64))
✓	cost-diff	320	(/.f64 (.f64 x (.f64 #s(literal 3 binary64) (sqrt.f64 t))) (.f64 z (.f64 #s(literal 54 binary64) y)))
✓	cost-diff	0	(*.f64 (PI.f64) #s(literal 1/2 binary64))
✓	cost-diff	128	(.f64 (neg.f64 (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 3 binary64) (sqrt.f64 t))) (.f64 z (*.f64 #s(literal 54 binary64) y))))) #s(literal 1/3 binary64))
✓	cost-diff	320	(/.f64 (.f64 x (.f64 #s(literal 3 binary64) (sqrt.f64 t))) (.f64 z (.f64 #s(literal 54 binary64) y)))
✓	cost-diff	320	(fma.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1/3 binary64) (.f64 (neg.f64 (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 3 binary64) (sqrt.f64 t))) (.f64 z (.f64 #s(literal 54 binary64) y))))) #s(literal 1/3 binary64)))
✓	cost-diff	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)))
✓	cost-diff	0	(.f64 #s(literal 1/3 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	320	(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))
✓	cost-diff	704	(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
✓	cost-diff	0	(.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t)))
✓	cost-diff	0	(/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z))
✓	cost-diff	0	(acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z)))
✓	cost-diff	0	(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))))
✓	cost-diff	0	(.f64 (.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) (sqrt.f64 t))
✓	cost-diff	0	(acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) (sqrt.f64 t)))
✓	cost-diff	0	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z))) (sqrt.f64 t))))
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))

Rules

7 320×	`accelerator-lowering-fma.f32`
7 320×	`accelerator-lowering-fma.f64`
3 684×	`-lowering-.f32`
3 684×	`-lowering-.f64`
1 652×	`associate-*l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	467
1	132	441
2	382	441
3	1071	441
4	2483	441
5	3003	441
6	3471	441
7	3917	441
8	4639	441
9	5369	441
10	6702	441
11	6950	441
12	7234	441
13	7568	441
0	8054	436

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (/ 1 3) (acos (* (* 1/18 (/ x (* y z))) (sqrt t))))
(/ 1 3)
1
3
(acos (* (* 1/18 (/ x (* y z))) (sqrt t)))
(* (* 1/18 (/ x (* y z))) (sqrt t))
(* 1/18 (/ x (* y z)))
1/18
(/ x (* y z))
x
(* y z)
y
z
(sqrt t)
t
(* 1/3 (acos (/ (* 1/18 (* x (sqrt t))) (* y z))))
1/3
(acos (/ (* 1/18 (* x (sqrt t))) (* y z)))
(/ (* 1/18 (* x (sqrt t))) (* y z))
(* 1/18 (* x (sqrt t)))
1/18
(* x (sqrt t))
x
(sqrt t)
t
(* y z)
y
z
(* 1/3 (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))))
1/3
(acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))
(* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))
(/ (* 3 (/ x (* y 27))) (* z 2))
(* 3 (/ x (* y 27)))
3
(/ x (* y 27))
x
(* y 27)
y
27
(* z 2)
z
2
(sqrt t)
t
(+ (* (* (PI) 1/2) 1/3) (* (neg (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y))))) 1/3))
(* (PI) 1/2)
(PI)
1/2
1/3
(* (neg (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y))))) 1/3)
(neg (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))))
(asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y))))
(/ (* x (* 3 (sqrt t))) (* z (* 54 y)))
(* x (* 3 (sqrt t)))
x
(* 3 (sqrt t))
3
(sqrt t)
t
(* z (* 54 y))
z
(* 54 y)
54
y
(/ (* (- (* (* (PI) (PI)) 1/4) (pow (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) 2)) 1/3) (+ (* (PI) 1/2) (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y))))))
(* (- (* (* (PI) (PI)) 1/4) (pow (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) 2)) 1/3)
(- (* (* (PI) (PI)) 1/4) (pow (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) 2))
(* (* (PI) (PI)) 1/4)
(* (PI) (PI))
(PI)
1/4
(pow (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) 2)
(asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y))))
(/ (* x (* 3 (sqrt t))) (* z (* 54 y)))
(* x (* 3 (sqrt t)))
x
(* 3 (sqrt t))
3
(sqrt t)
t
(* z (* 54 y))
z
(* 54 y)
54
y
2
1/3
(+ (* (PI) 1/2) (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))))
1/2

Outputs
(* (/ 1 3) (acos (* (* 1/18 (/ x (* y z))) (sqrt t))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))))
(/ 1 3)
#s(literal 1/3 binary64)
1
#s(literal 1 binary64)
3
#s(literal 3 binary64)
(acos (* (* 1/18 (/ x (* y z))) (sqrt t)))
(acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z)))
(* (* 1/18 (/ x (* y z))) (sqrt t))
(/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (/ x (* y z)))
(.f64 x (/.f64 #s(literal 1/18 binary64) (.f64 y z)))
1/18
#s(literal 1/18 binary64)
(/ x (* y z))
(/.f64 x (*.f64 y z))
x
(* y z)
(*.f64 y z)
y
z
(sqrt t)
(sqrt.f64 t)
t
(* 1/3 (acos (/ (* 1/18 (* x (sqrt t))) (* y z))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))))
1/3
#s(literal 1/3 binary64)
(acos (/ (* 1/18 (* x (sqrt t))) (* y z)))
(acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z)))
(/ (* 1/18 (* x (sqrt t))) (* y z))
(/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* x (sqrt t)))
(.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t)))
1/18
#s(literal 1/18 binary64)
(* x (sqrt t))
(*.f64 x (sqrt.f64 t))
x
(sqrt t)
(sqrt.f64 t)
t
(* y z)
(*.f64 y z)
y
z
(* 1/3 (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))))
1/3
#s(literal 1/3 binary64)
(acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))
(acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z)))
(* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))
(/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z))
(/ (* 3 (/ x (* y 27))) (* z 2))
(.f64 x (/.f64 #s(literal 1/18 binary64) (.f64 y z)))
(* 3 (/ x (* y 27)))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
3
#s(literal 3 binary64)
(/ x (* y 27))
(/.f64 x (*.f64 y #s(literal 27 binary64)))
x
(* y 27)
(*.f64 y #s(literal 27 binary64))
y
27
#s(literal 27 binary64)
(* z 2)
(*.f64 z #s(literal 2 binary64))
z
2
#s(literal 2 binary64)
(sqrt t)
(sqrt.f64 t)
t
(+ (* (* (PI) 1/2) 1/3) (* (neg (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y))))) 1/3))
(fma.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))) #s(literal -1/3 binary64) (.f64 (PI.f64) #s(literal 1/6 binary64)))
(* (PI) 1/2)
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI)
(PI.f64)
1/2
#s(literal 1/2 binary64)
1/3
#s(literal 1/3 binary64)
(* (neg (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y))))) 1/3)
(.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))) #s(literal -1/3 binary64))
(neg (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))))
(neg.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z))))
(asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y))))
(asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z)))
(/ (* x (* 3 (sqrt t))) (* z (* 54 y)))
(/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z))
(* x (* 3 (sqrt t)))
(.f64 #s(literal 3 binary64) (.f64 x (sqrt.f64 t)))
x
(* 3 (sqrt t))
(*.f64 #s(literal 3 binary64) (sqrt.f64 t))
3
#s(literal 3 binary64)
(sqrt t)
(sqrt.f64 t)
t
(* z (* 54 y))
(.f64 y (.f64 z #s(literal 54 binary64)))
z
(* 54 y)
(*.f64 y #s(literal 54 binary64))
54
#s(literal 54 binary64)
y
(/ (* (- (* (* (PI) (PI)) 1/4) (pow (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) 2)) 1/3) (+ (* (PI) 1/2) (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y))))))
(/.f64 (fma.f64 (pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))) #s(literal 2 binary64)) #s(literal -1/3 binary64) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/12 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z)))))
(* (- (* (* (PI) (PI)) 1/4) (pow (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) 2)) 1/3)
(fma.f64 (pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))) #s(literal 2 binary64)) #s(literal -1/3 binary64) (.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/12 binary64))))
(- (* (* (PI) (PI)) 1/4) (pow (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) 2))
(-.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal 2 binary64)))
(* (* (PI) (PI)) 1/4)
(.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)))
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
(PI)
(PI.f64)
1/4
#s(literal 1/4 binary64)
(pow (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) 2)
(pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal 2 binary64))
(asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y))))
(asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z)))
(/ (* x (* 3 (sqrt t))) (* z (* 54 y)))
(/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z))
(* x (* 3 (sqrt t)))
(.f64 #s(literal 3 binary64) (.f64 x (sqrt.f64 t)))
x
(* 3 (sqrt t))
(*.f64 #s(literal 3 binary64) (sqrt.f64 t))
3
#s(literal 3 binary64)
(sqrt t)
(sqrt.f64 t)
t
(* z (* 54 y))
(.f64 y (.f64 z #s(literal 54 binary64)))
z
(* 54 y)
(*.f64 y #s(literal 54 binary64))
54
#s(literal 54 binary64)
y
2
#s(literal 2 binary64)
1/3
#s(literal 1/3 binary64)
(+ (* (PI) 1/2) (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z))))
1/2
#s(literal 1/2 binary64)

localize212.0ms (0.6%)

Memory

12.7MiB live, 415.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(.f64 x (.f64 #s(literal 3 binary64) (sqrt.f64 t)))
✓	accuracy	99.5%	(*.f64 #s(literal 3 binary64) (sqrt.f64 t))
✓	accuracy	98.5%	(.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 3 binary64) (sqrt.f64 t))) (.f64 z (*.f64 #s(literal 54 binary64) y)))) #s(literal 2 binary64))) #s(literal 1/3 binary64))
✓	accuracy	89.0%	(/.f64 (.f64 x (.f64 #s(literal 3 binary64) (sqrt.f64 t))) (.f64 z (.f64 #s(literal 54 binary64) y)))
✓	accuracy	99.5%	(.f64 (neg.f64 (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 3 binary64) (sqrt.f64 t))) (.f64 z (*.f64 #s(literal 54 binary64) y))))) #s(literal 1/3 binary64))
✓	accuracy	99.5%	(*.f64 #s(literal 3 binary64) (sqrt.f64 t))
✓	accuracy	98.5%	(fma.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1/3 binary64) (.f64 (neg.f64 (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 3 binary64) (sqrt.f64 t))) (.f64 z (.f64 #s(literal 54 binary64) y))))) #s(literal 1/3 binary64)))
✓	accuracy	89.0%	(/.f64 (.f64 x (.f64 #s(literal 3 binary64) (sqrt.f64 t))) (.f64 z (.f64 #s(literal 54 binary64) y)))
✓	accuracy	99.3%	(/.f64 x (*.f64 y #s(literal 27 binary64)))
✓	accuracy	98.5%	(.f64 #s(literal 1/3 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	96.1%	(.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
✓	accuracy	92.9%	(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
✓	accuracy	99.6%	(*.f64 x (sqrt.f64 t))
✓	accuracy	99.5%	(.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t)))
✓	accuracy	98.5%	(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))))
✓	accuracy	88.9%	(/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z))
✓	accuracy	99.6%	(.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))
✓	accuracy	98.5%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z))) (sqrt.f64 t))))
✓	accuracy	96.1%	(.f64 (.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) (sqrt.f64 t))
✓	accuracy	91.7%	(/.f64 x (*.f64 y z))

Samples

121.0ms

256×

valid

Compiler

Compiled 492 to 55 computations (88.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 88.0ms

ival-mult: 47.0ms (53.3% of total)

ival-div: 13.0ms (14.7% of total)

ival-acos: 8.0ms (9.1% of total)

const: 7.0ms (7.9% of total)

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

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

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

ival-pow2: 2.0ms (2.3% of total)

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

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

exact: 1.0ms (1.1% of total)

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

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

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

series120.0ms (0.3%)

Memory

-2.0MiB live, 116.4MiB allocated

Counts

26 → 960

Calls

Call 1

Inputs
#<alt (/ 1 3)>
#<alt (* (/ 1 3) (acos (* (* 1/18 (/ x (* y z))) (sqrt t))))>
#<alt (acos (* (* 1/18 (/ x (* y z))) (sqrt t)))>
#<alt (* (* 1/18 (/ x (* y z))) (sqrt t))>
#<alt (* 1/3 (acos (/ (* 1/18 (* x (sqrt t))) (* y z))))>
#<alt (acos (/ (* 1/18 (* x (sqrt t))) (* y z)))>
#<alt (/ (* 1/18 (* x (sqrt t))) (* y z))>
#<alt (* 1/18 (* x (sqrt t)))>
#<alt (/ (* 3 (/ x (* y 27))) (* z 2))>
#<alt (* 3 (/ x (* y 27)))>
#<alt (* 1/3 (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))))>
#<alt (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))>
#<alt (+ (* (* (PI) 1/2) 1/3) (* (neg (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y))))) 1/3))>
#<alt (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))>
#<alt (* (neg (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y))))) 1/3)>
#<alt (* (PI) 1/2)>
#<alt (* (- (* (* (PI) (PI)) 1/4) (pow (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) 2)) 1/3)>
#<alt (/ (* (- (* (* (PI) (PI)) 1/4) (pow (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) 2)) 1/3) (+ (* (PI) 1/2) (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y))))))>
#<alt (- (* (* (PI) (PI)) 1/4) (pow (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) 2))>
#<alt (/ x (* y z))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* x (sqrt t))>
#<alt (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))>
#<alt (/ x (* y 27))>
#<alt (* 3 (sqrt t))>
#<alt (* x (* 3 (sqrt t)))>

Outputs
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
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#<alt (* 1/18 (/ x (* y z)))>
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#<alt (* -3 (* (sqrt t) (* x (pow (sqrt -1) 2))))>

Calls

240 calls:

Time	Variable		Point	Expression
59.0ms	y	@	-inf	(/ x (* y 27))
8.0ms	t	@	-inf	(/ (* (- (* (* (PI) (PI)) 1/4) (pow (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) 2)) 1/3) (+ (* (PI) 1/2) (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y))))))
3.0ms	x	@	0	(/ (* (- (* (* (PI) (PI)) 1/4) (pow (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) 2)) 1/3) (+ (* (PI) 1/2) (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y))))))
3.0ms	t	@	inf	(* 1/18 (* x (sqrt t)))
1.0ms	x	@	-inf	(/ (* (- (* (* (PI) (PI)) 1/4) (pow (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) 2)) 1/3) (+ (* (PI) 1/2) (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y))))))

rewrite1.0s (2.9%)

Memory

15.7MiB live, 1 092.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 066×	`-lowering-.f32`
6 066×	`-lowering-.f64`
4 858×	`/-lowering-/.f32`
4 858×	`/-lowering-/.f64`
3 328×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	53	261
1	236	248
2	1733	244
0	8340	244

Stop Event

1×	iter limit
1×	node limit

Counts

26 → 3 056

Calls

Call 1

Inputs
(/ 1 3)
(* (/ 1 3) (acos (* (* 1/18 (/ x (* y z))) (sqrt t))))
(acos (* (* 1/18 (/ x (* y z))) (sqrt t)))
(* (* 1/18 (/ x (* y z))) (sqrt t))
(* 1/3 (acos (/ (* 1/18 (* x (sqrt t))) (* y z))))
(acos (/ (* 1/18 (* x (sqrt t))) (* y z)))
(/ (* 1/18 (* x (sqrt t))) (* y z))
(* 1/18 (* x (sqrt t)))
(/ (* 3 (/ x (* y 27))) (* z 2))
(* 3 (/ x (* y 27)))
(* 1/3 (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))))
(acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))
(+ (* (* (PI) 1/2) 1/3) (* (neg (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y))))) 1/3))
(/ (* x (* 3 (sqrt t))) (* z (* 54 y)))
(* (neg (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y))))) 1/3)
(* (PI) 1/2)
(* (- (* (* (PI) (PI)) 1/4) (pow (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) 2)) 1/3)
(/ (* (- (* (* (PI) (PI)) 1/4) (pow (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) 2)) 1/3) (+ (* (PI) 1/2) (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y))))))
(- (* (* (PI) (PI)) 1/4) (pow (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) 2))
(/ x (* y z))
(* 1/18 (/ x (* y z)))
(* x (sqrt t))
(* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))
(/ x (* y 27))
(* 3 (sqrt t))
(* x (* 3 (sqrt t)))

Outputs
#s(literal 1/3 binary64)
(+.f64 (.f64 (PI.f64) #s(literal 1/6 binary64)) (.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal -1/3 binary64)))
(+.f64 (.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))) #s(literal -1/3 binary64)) (*.f64 (PI.f64) #s(literal 1/6 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z)))))) #s(literal -1 binary64)))
(-.f64 (.f64 (PI.f64) #s(literal 1/6 binary64)) (.f64 #s(literal 1/3 binary64) (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z)))))
(-.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/36 binary64)) (fma.f64 (PI.f64) #s(literal 1/6 binary64) (.f64 #s(literal 1/3 binary64) (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z)))))) (.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))) #s(literal 2 binary64)) (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z)))))) (.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z)))))
(-.f64 (/.f64 (pow.f64 (.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))) #s(literal -1/3 binary64)) (.f64 (PI.f64) #s(literal 1/6 binary64)))) (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/36 binary64)) (-.f64 (.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))) #s(literal -1/3 binary64)) (.f64 (PI.f64) #s(literal 1/6 binary64)))))
(fma.f64 #s(literal 1 binary64) (.f64 (PI.f64) #s(literal 1/6 binary64)) (.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal -1/3 binary64)))
(fma.f64 #s(literal 1/3 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal -1/3 binary64)))
(fma.f64 #s(literal 1/3 binary64) (neg.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z)))) (.f64 (PI.f64) #s(literal 1/6 binary64)))
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))) #s(literal -1/3 binary64)))
(fma.f64 #s(literal 1/2 binary64) (.f64 (PI.f64) #s(literal 1/3 binary64)) (.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal -1/3 binary64)))
(fma.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1/3 binary64) (.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal -1/3 binary64)))
(fma.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))) #s(literal -1/3 binary64) (.f64 (PI.f64) #s(literal 1/6 binary64)))
(fma.f64 (neg.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z)))) #s(literal 1/3 binary64) (.f64 (PI.f64) #s(literal 1/6 binary64)))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/6 binary64)) (.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal -1/3 binary64)))
(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/6 binary64)) (.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal -1/3 binary64)))
(fma.f64 #s(literal -1 binary64) (.f64 #s(literal 1/3 binary64) (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z)))) (*.f64 (PI.f64) #s(literal 1/6 binary64)))
(fma.f64 #s(literal 1/6 binary64) (PI.f64) (.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))) #s(literal -1/3 binary64)))
(fma.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))) (.f64 (PI.f64) #s(literal 1/6 binary64)))
(fma.f64 (.f64 #s(literal 1/3 binary64) (PI.f64)) #s(literal 1/2 binary64) (.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal -1/3 binary64)))
(neg.f64 (.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z)))))
(neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))))) (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))) #s(literal -1/3 binary64)) (-.f64 (.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))) #s(literal -1/3 binary64)) (.f64 (PI.f64) #s(literal 1/6 binary64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/36 binary64))) (fma.f64 (pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))) #s(literal 3 binary64)) #s(literal -1/27 binary64) (.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/216 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (PI.f64) #s(literal 1/6 binary64) (.f64 #s(literal 1/3 binary64) (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))))) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/36 binary64)) (pow.f64 (.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))) #s(literal -1/3 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (PI.f64) (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z)))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))) #s(literal 4 binary64)))) (-.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/64 binary64))) (pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))) #s(literal 6 binary64)))) (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z)))) #s(literal 1/3 binary64))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))) #s(literal 2 binary64))) (-.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))) #s(literal 4 binary64)))) (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z)))) #s(literal 1/3 binary64))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z)))) #s(literal 1/3 binary64)) (/.f64 (fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (PI.f64) (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z)))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))) #s(literal 4 binary64)))) (-.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/64 binary64))) (pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal 6 binary64))))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z)))) #s(literal 1/3 binary64)) (/.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))) #s(literal 2 binary64))) (-.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))))))))
(/.f64 #s(literal 1/3 binary64) (.f64 (/.f64 (fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (PI.f64) (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z)))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))) #s(literal 4 binary64)))) (-.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/64 binary64))) (pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))) #s(literal 6 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z))))))
(/.f64 #s(literal 1/3 binary64) (.f64 (/.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))) #s(literal 2 binary64))) (-.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))) #s(literal 4 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z))))))
(/.f64 #s(literal 1/3 binary64) (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z)))) (/.f64 (fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (PI.f64) (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z)))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))) #s(literal 4 binary64)))) (-.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/64 binary64))) (pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal 6 binary64))))))
(/.f64 #s(literal 1/3 binary64) (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z)))) (/.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))) #s(literal 2 binary64))) (-.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal 4 binary64))))))
(/.f64 (.f64 #s(literal 1/3 binary64) (-.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))) #s(literal 2 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z)))))
(/.f64 (.f64 (-.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))) #s(literal 2 binary64))) #s(literal -1/3 binary64)) (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z))))))
(/.f64 (fma.f64 (pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))) #s(literal 3 binary64)) #s(literal -1/27 binary64) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/216 binary64))) (fma.f64 (.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))) #s(literal -1/3 binary64)) (-.f64 (.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))) #s(literal -1/3 binary64)) (.f64 (PI.f64) #s(literal 1/6 binary64))) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/36 binary64))))
(/.f64 (fma.f64 (pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))) #s(literal 3 binary64)) #s(literal -1/27 binary64) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/216 binary64))) (fma.f64 (pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))) #s(literal 2 binary64)) #s(literal 1/9 binary64) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/36 binary64)) (.f64 (.f64 (PI.f64) #s(literal 1/6 binary64)) (.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal -1/3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))))) #s(literal 1 binary64))))
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(*.f64 #s(literal 3 binary64) (sqrt.f64 t))
(*.f64 (sqrt.f64 t) #s(literal 3 binary64))
(.f64 #s(literal 3 binary64) (.f64 x (sqrt.f64 t)))
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(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 t)) x)
(.f64 (.f64 #s(literal 3 binary64) x) (sqrt.f64 t))

simplify431.0ms (1.2%)

Memory

-16.6MiB live, 690.3MiB allocated

Algorithm

1×	egg-herbie

Rules

4 338×	`-lowering-.f32`
4 338×	`-lowering-.f64`
4 092×	`accelerator-lowering-fma.f32`
4 092×	`accelerator-lowering-fma.f64`
2 068×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	12108
1	151	11916
2	398	11868
3	1295	11868
4	2738	11868
5	5320	11868
6	7155	11868
0	8219	11676

Stop Event

1×	iter limit
1×	node limit

Counts

960 → 960

Calls

Call 1

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

eval1.1s (3%)

Memory: -136.7MiB live, 1 441.2MiB allocated
Compiler: Compiled 152 387 to 8 509 computations (94.4% saved)

prune10.2s (28.7%)

Memory

0.9MiB live, 1 078.3MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	4 837	7	4 844
Fresh	1	0	1
Picked	5	0	5
Done	0	0	0
Total	4 843	7	4 850

Accuracy

100.0%

Counts

4 850 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.9%	(fma.f64 (PI.f64) #s(literal 1/6 binary64) (.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))) #s(literal -1/3 binary64)))
	96.9%	(/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))) #s(literal 2 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z)))))
▶	98.4%	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/36 binary64)) (pow.f64 (.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))) #s(literal -1/3 binary64)) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/6 binary64) (.f64 #s(literal 1/3 binary64) (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))))))
	97.0%	(.f64 (/.f64 #s(literal 1/3 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))))) (-.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal 2 binary64))))
▶	98.1%	(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) y))) z)))
▶	97.7%	(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (.f64 (/.f64 x y) #s(literal 3 binary64)) (.f64 z #s(literal 54 binary64))) (sqrt.f64 t))))
▶	98.1%	(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 y z)) (sqrt.f64 t))))

Compiler

Compiled 388 to 254 computations (34.5% saved)

simplify251.0ms (0.7%)

Memory

21.8MiB live, 212.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (/.f64 (.f64 (/.f64 x y) #s(literal 3 binary64)) (*.f64 z #s(literal 54 binary64))) (sqrt.f64 t))
✓	cost-diff	0	(acos.f64 (.f64 (/.f64 (.f64 (/.f64 x y) #s(literal 3 binary64)) (*.f64 z #s(literal 54 binary64))) (sqrt.f64 t)))
✓	cost-diff	0	(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (.f64 (/.f64 x y) #s(literal 3 binary64)) (.f64 z #s(literal 54 binary64))) (sqrt.f64 t))))
✓	cost-diff	704	(/.f64 (.f64 (/.f64 x y) #s(literal 3 binary64)) (.f64 z #s(literal 54 binary64)))
✓	cost-diff	0	(asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z)))
✓	cost-diff	0	(.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))) #s(literal -1/3 binary64))
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(fma.f64 (PI.f64) #s(literal 1/6 binary64) (.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))) #s(literal -1/3 binary64)))
✓	cost-diff	0	(.f64 x (.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) y)))
✓	cost-diff	0	(acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) y))) z))
✓	cost-diff	0	(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) y))) z)))
✓	cost-diff	384	(/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) y))) z)
✓	cost-diff	0	(/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 y z))
✓	cost-diff	0	(.f64 (/.f64 (.f64 #s(literal 1/18 binary64) x) (*.f64 y z)) (sqrt.f64 t))
✓	cost-diff	0	(acos.f64 (.f64 (/.f64 (.f64 #s(literal 1/18 binary64) x) (*.f64 y z)) (sqrt.f64 t)))
✓	cost-diff	0	(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 y z)) (sqrt.f64 t))))
✓	cost-diff	0	(*.f64 (PI.f64) (PI.f64))
✓	cost-diff	0	(.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/36 binary64))
✓	cost-diff	0	(-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/36 binary64)) (pow.f64 (.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))) #s(literal -1/3 binary64)) #s(literal 2 binary64)))
✓	cost-diff	128	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/36 binary64)) (pow.f64 (.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))) #s(literal -1/3 binary64)) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/6 binary64) (.f64 #s(literal 1/3 binary64) (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))))))

Rules

1 996×	`-lowering-.f32`
1 996×	`-lowering-.f64`
1 808×	`accelerator-lowering-fma.f32`
1 808×	`accelerator-lowering-fma.f64`
804×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	423
1	106	423
2	270	423
3	611	423
4	1129	423
5	1630	423
6	2321	423
7	3252	423
8	3715	423
9	3984	423
10	4008	423
11	4009	423
12	4009	423
13	4025	423
14	4025	423
15	4025	423
16	4029	423
17	4107	423
18	4438	423
19	4438	423
0	4438	419

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ (- (* (* (PI) (PI)) 1/36) (pow (* (asin (/ (* 1/18 (* x (sqrt t))) (* y z))) -1/3) 2)) (+ (* (PI) 1/6) (* 1/3 (asin (/ (* 1/18 (* x (sqrt t))) (* y z))))))
(- (* (* (PI) (PI)) 1/36) (pow (* (asin (/ (* 1/18 (* x (sqrt t))) (* y z))) -1/3) 2))
(* (* (PI) (PI)) 1/36)
(* (PI) (PI))
(PI)
1/36
(pow (* (asin (/ (* 1/18 (* x (sqrt t))) (* y z))) -1/3) 2)
(* (asin (/ (* 1/18 (* x (sqrt t))) (* y z))) -1/3)
(asin (/ (* 1/18 (* x (sqrt t))) (* y z)))
(/ (* 1/18 (* x (sqrt t))) (* y z))
(* 1/18 (* x (sqrt t)))
1/18
(* x (sqrt t))
x
(sqrt t)
t
(* y z)
y
z
-1/3
2
(+ (* (PI) 1/6) (* 1/3 (asin (/ (* 1/18 (* x (sqrt t))) (* y z)))))
1/6
(* 1/3 (asin (/ (* 1/18 (* x (sqrt t))) (* y z))))
1/3
(* 1/3 (acos (* (/ (* 1/18 x) (* y z)) (sqrt t))))
1/3
(acos (* (/ (* 1/18 x) (* y z)) (sqrt t)))
(* (/ (* 1/18 x) (* y z)) (sqrt t))
(/ (* 1/18 x) (* y z))
(* 1/18 x)
1/18
x
(* y z)
y
z
(sqrt t)
t
(* 1/3 (acos (/ (* x (* 1/18 (/ (sqrt t) y))) z)))
1/3
(acos (/ (* x (* 1/18 (/ (sqrt t) y))) z))
(/ (* x (* 1/18 (/ (sqrt t) y))) z)
(* x (* 1/18 (/ (sqrt t) y)))
x
(* 1/18 (/ (sqrt t) y))
1/18
(/ (sqrt t) y)
(sqrt t)
t
y
z
(+ (* (PI) 1/6) (* (asin (/ (* 1/18 (* x (sqrt t))) (* y z))) -1/3))
(PI)
1/6
(* (asin (/ (* 1/18 (* x (sqrt t))) (* y z))) -1/3)
(asin (/ (* 1/18 (* x (sqrt t))) (* y z)))
(/ (* 1/18 (* x (sqrt t))) (* y z))
(* 1/18 (* x (sqrt t)))
1/18
(* x (sqrt t))
x
(sqrt t)
t
(* y z)
y
z
-1/3
(* 1/3 (acos (* (/ (* (/ x y) 3) (* z 54)) (sqrt t))))
1/3
(acos (* (/ (* (/ x y) 3) (* z 54)) (sqrt t)))
(* (/ (* (/ x y) 3) (* z 54)) (sqrt t))
(/ (* (/ x y) 3) (* z 54))
(* (/ x y) 3)
(/ x y)
x
y
3
(* z 54)
z
54
(sqrt t)
t

Outputs
(/ (- (* (* (PI) (PI)) 1/36) (pow (* (asin (/ (* 1/18 (* x (sqrt t))) (* y z))) -1/3) 2)) (+ (* (PI) 1/6) (* 1/3 (asin (/ (* 1/18 (* x (sqrt t))) (* y z))))))
(/.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal -1/36 binary64)) (pow.f64 (.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))) #s(literal -1/3 binary64)) #s(literal 2 binary64))) (fma.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))) #s(literal -1/3 binary64) (*.f64 (PI.f64) #s(literal -1/6 binary64))))
(- (* (* (PI) (PI)) 1/36) (pow (* (asin (/ (* 1/18 (* x (sqrt t))) (* y z))) -1/3) 2))
(-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/36 binary64)) (pow.f64 (.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))) #s(literal -1/3 binary64)) #s(literal 2 binary64)))
(* (* (PI) (PI)) 1/36)
(.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/36 binary64))
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
(PI)
(PI.f64)
1/36
#s(literal 1/36 binary64)
(pow (* (asin (/ (* 1/18 (* x (sqrt t))) (* y z))) -1/3) 2)
(pow.f64 (.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))) #s(literal -1/3 binary64)) #s(literal 2 binary64))
(* (asin (/ (* 1/18 (* x (sqrt t))) (* y z))) -1/3)
(.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))) #s(literal -1/3 binary64))
(asin (/ (* 1/18 (* x (sqrt t))) (* y z)))
(asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z)))
(/ (* 1/18 (* x (sqrt t))) (* y z))
(/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* x (sqrt t)))
(.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t)))
1/18
#s(literal 1/18 binary64)
(* x (sqrt t))
(*.f64 x (sqrt.f64 t))
x
(sqrt t)
(sqrt.f64 t)
t
(* y z)
(*.f64 y z)
y
z
-1/3
#s(literal -1/3 binary64)
2
#s(literal 2 binary64)
(+ (* (PI) 1/6) (* 1/3 (asin (/ (* 1/18 (* x (sqrt t))) (* y z)))))
(fma.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))) #s(literal 1/3 binary64) (.f64 (PI.f64) #s(literal 1/6 binary64)))
1/6
#s(literal 1/6 binary64)
(* 1/3 (asin (/ (* 1/18 (* x (sqrt t))) (* y z))))
(.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))) #s(literal 1/3 binary64))
1/3
#s(literal 1/3 binary64)
(* 1/3 (acos (* (/ (* 1/18 x) (* y z)) (sqrt t))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))))
1/3
#s(literal 1/3 binary64)
(acos (* (/ (* 1/18 x) (* y z)) (sqrt t)))
(acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z)))
(* (/ (* 1/18 x) (* y z)) (sqrt t))
(/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z))
(/ (* 1/18 x) (* y z))
(/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 y z))
(* 1/18 x)
(*.f64 #s(literal 1/18 binary64) x)
1/18
#s(literal 1/18 binary64)
x
(* y z)
(*.f64 y z)
y
z
(sqrt t)
(sqrt.f64 t)
t
(* 1/3 (acos (/ (* x (* 1/18 (/ (sqrt t) y))) z)))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))))
1/3
#s(literal 1/3 binary64)
(acos (/ (* x (* 1/18 (/ (sqrt t) y))) z))
(acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z)))
(/ (* x (* 1/18 (/ (sqrt t) y))) z)
(/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z))
(* x (* 1/18 (/ (sqrt t) y)))
(.f64 #s(literal 1/18 binary64) (/.f64 (.f64 x (sqrt.f64 t)) y))
x
(* 1/18 (/ (sqrt t) y))
(/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y)
1/18
#s(literal 1/18 binary64)
(/ (sqrt t) y)
(/.f64 (sqrt.f64 t) y)
(sqrt t)
(sqrt.f64 t)
t
y
z
(+ (* (PI) 1/6) (* (asin (/ (* 1/18 (* x (sqrt t))) (* y z))) -1/3))
(fma.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))) #s(literal -1/3 binary64) (.f64 (PI.f64) #s(literal 1/6 binary64)))
(PI)
(PI.f64)
1/6
#s(literal 1/6 binary64)
(* (asin (/ (* 1/18 (* x (sqrt t))) (* y z))) -1/3)
(.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))) #s(literal -1/3 binary64))
(asin (/ (* 1/18 (* x (sqrt t))) (* y z)))
(asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z)))
(/ (* 1/18 (* x (sqrt t))) (* y z))
(/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* x (sqrt t)))
(.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t)))
1/18
#s(literal 1/18 binary64)
(* x (sqrt t))
(*.f64 x (sqrt.f64 t))
x
(sqrt t)
(sqrt.f64 t)
t
(* y z)
(*.f64 y z)
y
z
-1/3
#s(literal -1/3 binary64)
(* 1/3 (acos (* (/ (* (/ x y) 3) (* z 54)) (sqrt t))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))))
1/3
#s(literal 1/3 binary64)
(acos (* (/ (* (/ x y) 3) (* z 54)) (sqrt t)))
(acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z)))
(* (/ (* (/ x y) 3) (* z 54)) (sqrt t))
(/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z))
(/ (* (/ x y) 3) (* z 54))
(/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 y z))
(* (/ x y) 3)
(*.f64 (/.f64 x y) #s(literal 3 binary64))
(/ x y)
(/.f64 x y)
x
y
3
#s(literal 3 binary64)
(* z 54)
(*.f64 z #s(literal 54 binary64))
z
54
#s(literal 54 binary64)
(sqrt t)
(sqrt.f64 t)
t

localize232.0ms (0.7%)

Memory

3.5MiB live, 315.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(*.f64 (/.f64 x y) #s(literal 3 binary64))
✓	accuracy	98.5%	(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (.f64 (/.f64 x y) #s(literal 3 binary64)) (.f64 z #s(literal 54 binary64))) (sqrt.f64 t))))
✓	accuracy	96.1%	(.f64 (/.f64 (.f64 (/.f64 x y) #s(literal 3 binary64)) (*.f64 z #s(literal 54 binary64))) (sqrt.f64 t))
✓	accuracy	92.9%	(/.f64 (.f64 (/.f64 x y) #s(literal 3 binary64)) (.f64 z #s(literal 54 binary64)))
✓	accuracy	99.5%	(.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))) #s(literal -1/3 binary64))
✓	accuracy	99.5%	(.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t)))
✓	accuracy	98.5%	(fma.f64 (PI.f64) #s(literal 1/6 binary64) (.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))) #s(literal -1/3 binary64)))
✓	accuracy	88.9%	(/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z))
✓	accuracy	99.2%	(*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) y))
✓	accuracy	98.5%	(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) y))) z)))
✓	accuracy	95.5%	(.f64 x (.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) y)))
✓	accuracy	93.7%	(/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) y))) z)
✓	accuracy	99.5%	(*.f64 #s(literal 1/18 binary64) x)
✓	accuracy	98.5%	(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 y z)) (sqrt.f64 t))))
✓	accuracy	96.1%	(.f64 (/.f64 (.f64 #s(literal 1/18 binary64) x) (*.f64 y z)) (sqrt.f64 t))
✓	accuracy	91.6%	(/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 y z))
✓	accuracy	99.5%	(.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t)))
✓	accuracy	98.5%	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/36 binary64)) (pow.f64 (.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))) #s(literal -1/3 binary64)) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/6 binary64) (.f64 #s(literal 1/3 binary64) (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))))))
✓	accuracy	98.5%	(fma.f64 (PI.f64) #s(literal 1/6 binary64) (.f64 #s(literal 1/3 binary64) (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z)))))
✓	accuracy	88.9%	(/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z))

Samples

153.0ms

256×

valid

Compiler

Compiled 430 to 49 computations (88.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 71.0ms

ival-mult: 27.0ms (38.2% of total)

const: 14.0ms (19.8% of total)

ival-div: 11.0ms (15.6% of total)

ival-acos: 6.0ms (8.5% of total)

ival-sqrt: 3.0ms (4.2% of total)

ival-add: 2.0ms (2.8% of total)

ival-asin: 2.0ms (2.8% of total)

ival-pow2: 2.0ms (2.8% of total)

ival-pi: 1.0ms (1.4% of total)

ival-sub: 1.0ms (1.4% of total)

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

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

exact: 0.0ms (0% of total)

series53.0ms (0.2%)

Memory

-45.6MiB live, 85.5MiB allocated

Counts

26 → 960

Calls

Call 1

Inputs
#<alt (/ (- (* (* (PI) (PI)) 1/36) (pow (* (asin (/ (* 1/18 (* x (sqrt t))) (* y z))) -1/3) 2)) (+ (* (PI) 1/6) (* 1/3 (asin (/ (* 1/18 (* x (sqrt t))) (* y z))))))>
#<alt (- (* (* (PI) (PI)) 1/36) (pow (* (asin (/ (* 1/18 (* x (sqrt t))) (* y z))) -1/3) 2))>
#<alt (* (* (PI) (PI)) 1/36)>
#<alt (* (PI) (PI))>
#<alt (* 1/3 (acos (* (/ (* 1/18 x) (* y z)) (sqrt t))))>
#<alt (acos (* (/ (* 1/18 x) (* y z)) (sqrt t)))>
#<alt (* (/ (* 1/18 x) (* y z)) (sqrt t))>
#<alt (/ (* 1/18 x) (* y z))>
#<alt (/ (* x (* 1/18 (/ (sqrt t) y))) z)>
#<alt (* 1/3 (acos (/ (* x (* 1/18 (/ (sqrt t) y))) z)))>
#<alt (acos (/ (* x (* 1/18 (/ (sqrt t) y))) z))>
#<alt (* x (* 1/18 (/ (sqrt t) y)))>
#<alt (+ (* (PI) 1/6) (* (asin (/ (* 1/18 (* x (sqrt t))) (* y z))) -1/3))>
#<alt (PI)>
#<alt (* (asin (/ (* 1/18 (* x (sqrt t))) (* y z))) -1/3)>
#<alt (asin (/ (* 1/18 (* x (sqrt t))) (* y z)))>
#<alt (/ (* (/ x y) 3) (* z 54))>
#<alt (* 1/3 (acos (* (/ (* (/ x y) 3) (* z 54)) (sqrt t))))>
#<alt (acos (* (/ (* (/ x y) 3) (* z 54)) (sqrt t)))>
#<alt (* (/ (* (/ x y) 3) (* z 54)) (sqrt t))>
#<alt (/ (* 1/18 (* x (sqrt t))) (* y z))>
#<alt (+ (* (PI) 1/6) (* 1/3 (asin (/ (* 1/18 (* x (sqrt t))) (* y z)))))>
#<alt (* 1/18 (* x (sqrt t)))>
#<alt (* 1/18 x)>
#<alt (* 1/18 (/ (sqrt t) y))>
#<alt (* (/ x y) 3)>

Outputs
#<alt (/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))))>
#<alt (/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))))>
#<alt (/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))))>
#<alt (/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))))>
#<alt (/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))>
#<alt (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))>
#<alt (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))>
#<alt (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))>
#<alt (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))>
#<alt (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))>
#<alt (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))>
#<alt (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))>
#<alt (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))>
#<alt (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))>
#<alt (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))>
#<alt (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))>
#<alt (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))>
#<alt (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))>
#<alt (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))>
#<alt (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))>
#<alt (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))>
#<alt (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))>
#<alt (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))>
#<alt (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))>
#<alt (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))>
#<alt (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))>
#<alt (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))>
#<alt (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))>
#<alt (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))>
#<alt (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))>
#<alt (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))>
#<alt (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))>
#<alt (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))>
#<alt (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))>
#<alt (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))>
#<alt (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))>
#<alt (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))>
#<alt (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))>
#<alt (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))>
#<alt (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))>
#<alt (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))>
#<alt (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))>
#<alt (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))>
#<alt (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))>
#<alt (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))>
#<alt (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))>
#<alt (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))>
#<alt (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))>
#<alt (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))>
#<alt (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))>
#<alt (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))>
#<alt (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
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#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))>
#<alt (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))>
#<alt (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))>
#<alt (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))>
#<alt (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (* 1/18 (* (sqrt t) x))>
#<alt (* 1/18 (* (sqrt t) x))>
#<alt (* 1/18 (* (sqrt t) x))>
#<alt (* 1/18 (* (sqrt t) x))>
#<alt (* 1/18 (* (sqrt t) x))>
#<alt (* 1/18 (* (sqrt t) x))>
#<alt (* 1/18 (* (sqrt t) x))>
#<alt (* 1/18 (* (sqrt t) x))>
#<alt (* 1/18 (* (sqrt t) x))>
#<alt (* 1/18 (* (sqrt t) x))>
#<alt (* 1/18 (* (sqrt t) x))>
#<alt (* 1/18 (* (sqrt t) x))>
#<alt (* 1/18 (* (sqrt t) x))>
#<alt (* 1/18 (* (sqrt t) x))>
#<alt (* 1/18 (* (sqrt t) x))>
#<alt (* 1/18 (* (sqrt t) x))>
#<alt (* 1/18 (* (sqrt t) x))>
#<alt (* 1/18 (* (sqrt t) x))>
#<alt (* 1/18 (* (sqrt t) x))>
#<alt (* 1/18 (* (sqrt t) x))>
#<alt (* -1/18 (* (sqrt t) (* x (pow (sqrt -1) 2))))>
#<alt (* -1/18 (* (sqrt t) (* x (pow (sqrt -1) 2))))>
#<alt (* -1/18 (* (sqrt t) (* x (pow (sqrt -1) 2))))>
#<alt (* -1/18 (* (sqrt t) (* x (pow (sqrt -1) 2))))>
#<alt (* 1/18 x)>
#<alt (* 1/18 x)>
#<alt (* 1/18 x)>
#<alt (* 1/18 x)>
#<alt (* 1/18 x)>
#<alt (* 1/18 x)>
#<alt (* 1/18 x)>
#<alt (* 1/18 x)>
#<alt (* 1/18 x)>
#<alt (* 1/18 x)>
#<alt (* 1/18 x)>
#<alt (* 1/18 x)>
#<alt (* 1/18 (* (sqrt t) (/ 1 y)))>
#<alt (* 1/18 (* (sqrt t) (/ 1 y)))>
#<alt (* 1/18 (* (sqrt t) (/ 1 y)))>
#<alt (* 1/18 (* (sqrt t) (/ 1 y)))>
#<alt (* 1/18 (* (sqrt t) (/ 1 y)))>
#<alt (* 1/18 (* (sqrt t) (/ 1 y)))>
#<alt (* 1/18 (* (sqrt t) (/ 1 y)))>
#<alt (* 1/18 (* (sqrt t) (/ 1 y)))>
#<alt (* -1/18 (* (sqrt t) (/ (pow (sqrt -1) 2) y)))>
#<alt (* -1/18 (* (sqrt t) (/ (pow (sqrt -1) 2) y)))>
#<alt (* -1/18 (* (sqrt t) (/ (pow (sqrt -1) 2) y)))>
#<alt (* -1/18 (* (sqrt t) (/ (pow (sqrt -1) 2) y)))>
#<alt (* 1/18 (* (sqrt t) (/ 1 y)))>
#<alt (* 1/18 (* (sqrt t) (/ 1 y)))>
#<alt (* 1/18 (* (sqrt t) (/ 1 y)))>
#<alt (* 1/18 (* (sqrt t) (/ 1 y)))>
#<alt (* 1/18 (* (sqrt t) (/ 1 y)))>
#<alt (* 1/18 (* (sqrt t) (/ 1 y)))>
#<alt (* 1/18 (* (sqrt t) (/ 1 y)))>
#<alt (* 1/18 (* (sqrt t) (/ 1 y)))>
#<alt (* 1/18 (* (sqrt t) (/ 1 y)))>
#<alt (* 1/18 (* (sqrt t) (/ 1 y)))>
#<alt (* 1/18 (* (sqrt t) (/ 1 y)))>
#<alt (* 1/18 (* (sqrt t) (/ 1 y)))>
#<alt (* 3 (/ x y))>
#<alt (* 3 (/ x y))>
#<alt (* 3 (/ x y))>
#<alt (* 3 (/ x y))>
#<alt (* 3 (/ x y))>
#<alt (* 3 (/ x y))>
#<alt (* 3 (/ x y))>
#<alt (* 3 (/ x y))>
#<alt (* 3 (/ x y))>
#<alt (* 3 (/ x y))>
#<alt (* 3 (/ x y))>
#<alt (* 3 (/ x y))>
#<alt (* 3 (/ x y))>
#<alt (* 3 (/ x y))>
#<alt (* 3 (/ x y))>
#<alt (* 3 (/ x y))>
#<alt (* 3 (/ x y))>
#<alt (* 3 (/ x y))>
#<alt (* 3 (/ x y))>
#<alt (* 3 (/ x y))>
#<alt (* 3 (/ x y))>
#<alt (* 3 (/ x y))>
#<alt (* 3 (/ x y))>
#<alt (* 3 (/ x y))>

Calls

240 calls:

Time	Variable		Point	Expression
2.0ms	t	@	inf	(/ (* x (* 1/18 (/ (sqrt t) y))) z)
1.0ms	x	@	0	(/ (- (* (* (PI) (PI)) 1/36) (pow (* (asin (/ (* 1/18 (* x (sqrt t))) (* y z))) -1/3) 2)) (+ (* (PI) 1/6) (* 1/3 (asin (/ (* 1/18 (* x (sqrt t))) (* y z))))))
1.0ms	t	@	-inf	(/ (- (* (* (PI) (PI)) 1/36) (pow (* (asin (/ (* 1/18 (* x (sqrt t))) (* y z))) -1/3) 2)) (+ (* (PI) 1/6) (* 1/3 (asin (/ (* 1/18 (* x (sqrt t))) (* y z))))))
1.0ms	x	@	inf	(/ (- (* (* (PI) (PI)) 1/36) (pow (* (asin (/ (* 1/18 (* x (sqrt t))) (* y z))) -1/3) 2)) (+ (* (PI) 1/6) (* 1/3 (asin (/ (* 1/18 (* x (sqrt t))) (* y z))))))
1.0ms	z	@	-inf	(/ (- (* (* (PI) (PI)) 1/36) (pow (* (asin (/ (* 1/18 (* x (sqrt t))) (* y z))) -1/3) 2)) (+ (* (PI) 1/6) (* 1/3 (asin (/ (* 1/18 (* x (sqrt t))) (* y z))))))

rewrite474.0ms (1.3%)

Memory

-0.8MiB live, 830.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 444×	`accelerator-lowering-fma.f32`
7 444×	`accelerator-lowering-fma.f64`
4 640×	`-lowering-.f32`
4 640×	`-lowering-.f64`
3 202×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	303
1	221	259
2	1597	259
0	8415	255

Stop Event

1×	iter limit
1×	node limit

Counts

26 → 1 540

Calls

Call 1

Inputs
(/ (- (* (* (PI) (PI)) 1/36) (pow (* (asin (/ (* 1/18 (* x (sqrt t))) (* y z))) -1/3) 2)) (+ (* (PI) 1/6) (* 1/3 (asin (/ (* 1/18 (* x (sqrt t))) (* y z))))))
(- (* (* (PI) (PI)) 1/36) (pow (* (asin (/ (* 1/18 (* x (sqrt t))) (* y z))) -1/3) 2))
(* (* (PI) (PI)) 1/36)
(* (PI) (PI))
(* 1/3 (acos (* (/ (* 1/18 x) (* y z)) (sqrt t))))
(acos (* (/ (* 1/18 x) (* y z)) (sqrt t)))
(* (/ (* 1/18 x) (* y z)) (sqrt t))
(/ (* 1/18 x) (* y z))
(/ (* x (* 1/18 (/ (sqrt t) y))) z)
(* 1/3 (acos (/ (* x (* 1/18 (/ (sqrt t) y))) z)))
(acos (/ (* x (* 1/18 (/ (sqrt t) y))) z))
(* x (* 1/18 (/ (sqrt t) y)))
(+ (* (PI) 1/6) (* (asin (/ (* 1/18 (* x (sqrt t))) (* y z))) -1/3))
(PI)
(* (asin (/ (* 1/18 (* x (sqrt t))) (* y z))) -1/3)
(asin (/ (* 1/18 (* x (sqrt t))) (* y z)))
(/ (* (/ x y) 3) (* z 54))
(* 1/3 (acos (* (/ (* (/ x y) 3) (* z 54)) (sqrt t))))
(acos (* (/ (* (/ x y) 3) (* z 54)) (sqrt t)))
(* (/ (* (/ x y) 3) (* z 54)) (sqrt t))
(/ (* 1/18 (* x (sqrt t))) (* y z))
(+ (* (PI) 1/6) (* 1/3 (asin (/ (* 1/18 (* x (sqrt t))) (* y z)))))
(* 1/18 (* x (sqrt t)))
(* 1/18 x)
(* 1/18 (/ (sqrt t) y))
(* (/ x y) 3)

Outputs
(+.f64 (.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))) #s(literal -1/3 binary64)) (*.f64 (PI.f64) #s(literal 1/6 binary64)))
(+.f64 (.f64 (PI.f64) #s(literal 1/6 binary64)) (.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal -1/3 binary64)))
(+.f64 (.f64 (PI.f64) #s(literal 1/6 binary64)) (.f64 #s(literal 1 binary64) (.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))) #s(literal -1/3 binary64))))
(+.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/36 binary64)) (fma.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))) #s(literal 1/3 binary64) (.f64 (PI.f64) #s(literal 1/6 binary64)))) (/.f64 (pow.f64 (.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (fma.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))) #s(literal -1/3 binary64) (.f64 (PI.f64) #s(literal -1/6 binary64)))))
(+.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/36 binary64)) (fma.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))) #s(literal 1/3 binary64) (.f64 (PI.f64) #s(literal 1/6 binary64)))) (.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (fma.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))) #s(literal -1/3 binary64) (*.f64 (PI.f64) #s(literal -1/6 binary64))))))
(+.f64 (/.f64 (pow.f64 (.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (fma.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))) #s(literal -1/3 binary64) (.f64 (PI.f64) #s(literal -1/6 binary64)))) (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/36 binary64)) (fma.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))) #s(literal 1/3 binary64) (.f64 (PI.f64) #s(literal 1/6 binary64)))))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))) #s(literal -1/3 binary64))) (.f64 (PI.f64) #s(literal 1/6 binary64)))
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(.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) x))
(.f64 (.f64 x (sqrt.f64 t)) #s(literal 1/18 binary64))
(.f64 (.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) #s(literal 1 binary64))
(.f64 (.f64 #s(literal 1/18 binary64) x) (sqrt.f64 t))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))))
(.f64 (.f64 x #s(literal -1/18 binary64)) (neg.f64 (sqrt.f64 t)))
(.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x)
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))))
(.f64 (neg.f64 (.f64 x (sqrt.f64 t))) #s(literal -1/18 binary64))
(.f64 #s(literal -1/18 binary64) (neg.f64 (.f64 x (sqrt.f64 t))))
(.f64 (neg.f64 (neg.f64 (.f64 x (sqrt.f64 t)))) #s(literal 1/18 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -1/18 binary64)))
(neg.f64 (*.f64 x #s(literal -1/18 binary64)))
(*.f64 #s(literal 1/18 binary64) x)
(*.f64 x #s(literal 1/18 binary64))
(.f64 (.f64 #s(literal 1/18 binary64) x) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/18 binary64) x))
(*.f64 (neg.f64 x) #s(literal -1/18 binary64))
(.f64 #s(literal -1 binary64) (.f64 x #s(literal -1/18 binary64)))
(*.f64 #s(literal -1/18 binary64) (neg.f64 x))
(neg.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) y))
(/.f64 #s(literal 1/18 binary64) (/.f64 y (sqrt.f64 t)))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (sqrt.f64 t)) #s(literal 1/18 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (neg.f64 y))
(/.f64 #s(literal -1/18 binary64) (/.f64 (neg.f64 y) (sqrt.f64 t)))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) y)
(pow.f64 (/.f64 y (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) #s(literal -1 binary64))
(*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) y))
(.f64 (sqrt.f64 t) (.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/18 binary64)))
(*.f64 (/.f64 (sqrt.f64 t) y) #s(literal 1/18 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y))
(.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 #s(literal 1 binary64) y))
(.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 #s(literal -1 binary64) y))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x #s(literal -3 binary64)) y))
(neg.f64 (/.f64 (*.f64 x #s(literal -3 binary64)) y))
(/.f64 #s(literal 3 binary64) (/.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (*.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))
(/.f64 (*.f64 x #s(literal 3 binary64)) y)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (*.f64 x #s(literal 3 binary64)))))
(/.f64 (*.f64 x #s(literal -3 binary64)) (neg.f64 y))
(/.f64 #s(literal -3 binary64) (/.f64 y (neg.f64 x)))
(/.f64 (neg.f64 (*.f64 x #s(literal -3 binary64))) y)
(pow.f64 (/.f64 y (*.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))
(.f64 x (.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)))
(*.f64 x (/.f64 #s(literal 3 binary64) y))
(*.f64 (/.f64 x y) #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) (/.f64 x y))
(.f64 (/.f64 (.f64 x #s(literal 3 binary64)) y) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 x #s(literal 3 binary64)) y))
(.f64 (.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) y))
(.f64 #s(literal -1 binary64) (/.f64 (.f64 x #s(literal -3 binary64)) y))
(*.f64 (/.f64 x (neg.f64 y)) #s(literal -3 binary64))
(.f64 (.f64 x #s(literal -3 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal -3 binary64) (/.f64 x (neg.f64 y)))

simplify461.0ms (1.3%)

Memory

12.4MiB live, 574.0MiB allocated

Algorithm

1×	egg-herbie

Rules

3 808×	`-lowering-.f32`
3 808×	`-lowering-.f64`
3 632×	`accelerator-lowering-fma.f32`
3 632×	`accelerator-lowering-fma.f64`
3 272×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	12584
1	160	12380
2	387	12276
3	1330	12276
4	2663	12276
5	4188	12276
6	5474	12276
7	7607	12276
0	8002	12036

Stop Event

1×	iter limit
1×	node limit

Counts

960 → 960

Calls

Call 1

Inputs
(/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))
(/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))
(/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))
(/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))
(/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))
(/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))
(/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))
(/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))
(/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))
(/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))
(/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))
(/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))
(/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))
(/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))
(/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))
(/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))
(/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))
(/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))
(/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))
(/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))
(/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))))
(/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))))
(/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))))
(/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))))
(/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))
(/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))
(/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))
(/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))
(/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))
(/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))
(/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))
(/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))
(/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))
(/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))
(/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))
(/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))
(/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))
(/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))
(/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))
(/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))
(/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))
(/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))
(/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))
(/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))
(/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))
(/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))
(/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))
(/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))
(- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))
(- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))
(- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))
(- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))
(- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(* 1/18 (* (sqrt t) x))
(* 1/18 (* (sqrt t) x))
(* 1/18 (* (sqrt t) x))
(* 1/18 (* (sqrt t) x))
(* 1/18 (* (sqrt t) x))
(* 1/18 (* (sqrt t) x))
(* 1/18 (* (sqrt t) x))
(* 1/18 (* (sqrt t) x))
(* 1/18 (* (sqrt t) x))
(* 1/18 (* (sqrt t) x))
(* 1/18 (* (sqrt t) x))
(* 1/18 (* (sqrt t) x))
(* 1/18 (* (sqrt t) x))
(* 1/18 (* (sqrt t) x))
(* 1/18 (* (sqrt t) x))
(* 1/18 (* (sqrt t) x))
(* 1/18 (* (sqrt t) x))
(* 1/18 (* (sqrt t) x))
(* 1/18 (* (sqrt t) x))
(* 1/18 (* (sqrt t) x))
(* -1/18 (* (sqrt t) (* x (pow (sqrt -1) 2))))
(* -1/18 (* (sqrt t) (* x (pow (sqrt -1) 2))))
(* -1/18 (* (sqrt t) (* x (pow (sqrt -1) 2))))
(* -1/18 (* (sqrt t) (* x (pow (sqrt -1) 2))))
(* 1/18 x)
(* 1/18 x)
(* 1/18 x)
(* 1/18 x)
(* 1/18 x)
(* 1/18 x)
(* 1/18 x)
(* 1/18 x)
(* 1/18 x)
(* 1/18 x)
(* 1/18 x)
(* 1/18 x)
(* 1/18 (* (sqrt t) (/ 1 y)))
(* 1/18 (* (sqrt t) (/ 1 y)))
(* 1/18 (* (sqrt t) (/ 1 y)))
(* 1/18 (* (sqrt t) (/ 1 y)))
(* 1/18 (* (sqrt t) (/ 1 y)))
(* 1/18 (* (sqrt t) (/ 1 y)))
(* 1/18 (* (sqrt t) (/ 1 y)))
(* 1/18 (* (sqrt t) (/ 1 y)))
(* -1/18 (* (sqrt t) (/ (pow (sqrt -1) 2) y)))
(* -1/18 (* (sqrt t) (/ (pow (sqrt -1) 2) y)))
(* -1/18 (* (sqrt t) (/ (pow (sqrt -1) 2) y)))
(* -1/18 (* (sqrt t) (/ (pow (sqrt -1) 2) y)))
(* 1/18 (* (sqrt t) (/ 1 y)))
(* 1/18 (* (sqrt t) (/ 1 y)))
(* 1/18 (* (sqrt t) (/ 1 y)))
(* 1/18 (* (sqrt t) (/ 1 y)))
(* 1/18 (* (sqrt t) (/ 1 y)))
(* 1/18 (* (sqrt t) (/ 1 y)))
(* 1/18 (* (sqrt t) (/ 1 y)))
(* 1/18 (* (sqrt t) (/ 1 y)))
(* 1/18 (* (sqrt t) (/ 1 y)))
(* 1/18 (* (sqrt t) (/ 1 y)))
(* 1/18 (* (sqrt t) (/ 1 y)))
(* 1/18 (* (sqrt t) (/ 1 y)))
(* 3 (/ x y))
(* 3 (/ x y))
(* 3 (/ x y))
(* 3 (/ x y))
(* 3 (/ x y))
(* 3 (/ x y))
(* 3 (/ x y))
(* 3 (/ x y))
(* 3 (/ x y))
(* 3 (/ x y))
(* 3 (/ x y))
(* 3 (/ x y))
(* 3 (/ x y))
(* 3 (/ x y))
(* 3 (/ x y))
(* 3 (/ x y))
(* 3 (/ x y))
(* 3 (/ x y))
(* 3 (/ x y))
(* 3 (/ x y))
(* 3 (/ x y))
(* 3 (/ x y))
(* 3 (/ x y))
(* 3 (/ x y))

Outputs
(/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))
(/.f64 (fma.f64 (pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))) #s(literal 2 binary64)) #s(literal -1/9 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (PI.f64) (PI.f64)))) (fma.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 1/6 binary64))))
(/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))
(/.f64 (fma.f64 (pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))) #s(literal 2 binary64)) #s(literal -1/9 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (PI.f64) (PI.f64)))) (fma.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 1/6 binary64))))
(/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))
(/.f64 (fma.f64 (pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))) #s(literal 2 binary64)) #s(literal -1/9 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (PI.f64) (PI.f64)))) (fma.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 1/6 binary64))))
(/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))
(/.f64 (fma.f64 (pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))) #s(literal 2 binary64)) #s(literal -1/9 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (PI.f64) (PI.f64)))) (fma.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 1/6 binary64))))
(/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))
(/.f64 (fma.f64 (pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))) #s(literal 2 binary64)) #s(literal -1/9 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (PI.f64) (PI.f64)))) (fma.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 1/6 binary64))))
(/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))
(/.f64 (fma.f64 (pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))) #s(literal 2 binary64)) #s(literal -1/9 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (PI.f64) (PI.f64)))) (fma.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 1/6 binary64))))
(/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))
(/.f64 (fma.f64 (pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))) #s(literal 2 binary64)) #s(literal -1/9 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (PI.f64) (PI.f64)))) (fma.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 1/6 binary64))))
(/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))
(/.f64 (fma.f64 (pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))) #s(literal 2 binary64)) #s(literal -1/9 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (PI.f64) (PI.f64)))) (fma.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 1/6 binary64))))
(/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))
(/.f64 (fma.f64 (pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))) #s(literal 2 binary64)) #s(literal -1/9 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (PI.f64) (PI.f64)))) (fma.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 1/6 binary64))))
(/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))
(/.f64 (fma.f64 (pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))) #s(literal 2 binary64)) #s(literal -1/9 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (PI.f64) (PI.f64)))) (fma.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 1/6 binary64))))
(/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))
(/.f64 (fma.f64 (pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))) #s(literal 2 binary64)) #s(literal -1/9 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (PI.f64) (PI.f64)))) (fma.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 1/6 binary64))))
(/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))
(/.f64 (fma.f64 (pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))) #s(literal 2 binary64)) #s(literal -1/9 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (PI.f64) (PI.f64)))) (fma.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 1/6 binary64))))
(/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))
(/.f64 (fma.f64 (pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))) #s(literal 2 binary64)) #s(literal -1/9 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (PI.f64) (PI.f64)))) (fma.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 1/6 binary64))))
(/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))
(/.f64 (fma.f64 (pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))) #s(literal 2 binary64)) #s(literal -1/9 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (PI.f64) (PI.f64)))) (fma.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 1/6 binary64))))
(/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))
(/.f64 (fma.f64 (pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))) #s(literal 2 binary64)) #s(literal -1/9 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (PI.f64) (PI.f64)))) (fma.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 1/6 binary64))))
(/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))
(/.f64 (fma.f64 (pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))) #s(literal 2 binary64)) #s(literal -1/9 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (PI.f64) (PI.f64)))) (fma.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 1/6 binary64))))
(/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))
(/.f64 (fma.f64 (pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))) #s(literal 2 binary64)) #s(literal -1/9 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (PI.f64) (PI.f64)))) (fma.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 1/6 binary64))))
(/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))
(/.f64 (fma.f64 (pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))) #s(literal 2 binary64)) #s(literal -1/9 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (PI.f64) (PI.f64)))) (fma.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 1/6 binary64))))
(/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))
(/.f64 (fma.f64 (pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))) #s(literal 2 binary64)) #s(literal -1/9 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (PI.f64) (PI.f64)))) (fma.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 1/6 binary64))))
(/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))
(/.f64 (fma.f64 (pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))) #s(literal 2 binary64)) #s(literal -1/9 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (PI.f64) (PI.f64)))) (fma.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 1/6 binary64))))
(/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))))
(/.f64 (fma.f64 (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (.f64 y z))) #s(literal 2 binary64)) #s(literal -1/9 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (PI.f64) (PI.f64)))) (fma.f64 (PI.f64) #s(literal 1/6 binary64) (.f64 #s(literal 1/3 binary64) (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))))))
(/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))))
(/.f64 (fma.f64 (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (.f64 y z))) #s(literal 2 binary64)) #s(literal -1/9 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (PI.f64) (PI.f64)))) (fma.f64 (PI.f64) #s(literal 1/6 binary64) (.f64 #s(literal 1/3 binary64) (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))))))
(/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))))
(/.f64 (fma.f64 (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (.f64 y z))) #s(literal 2 binary64)) #s(literal -1/9 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (PI.f64) (PI.f64)))) (fma.f64 (PI.f64) #s(literal 1/6 binary64) (.f64 #s(literal 1/3 binary64) (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))))))
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(fma.f64 (PI.f64) #s(literal 1/6 binary64) (.f64 #s(literal 1/3 binary64) (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (.f64 y z)))))
(+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (.f64 #s(literal 1/3 binary64) (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (.f64 y z)))))
(+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (.f64 #s(literal 1/3 binary64) (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (.f64 y z)))))
(+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (.f64 #s(literal 1/3 binary64) (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (.f64 y z)))))
(+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(fma.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))) #s(literal 1/3 binary64) (.f64 (PI.f64) #s(literal 1/6 binary64)))
(+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(fma.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))) #s(literal 1/3 binary64) (.f64 (PI.f64) #s(literal 1/6 binary64)))
(+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(fma.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))) #s(literal 1/3 binary64) (.f64 (PI.f64) #s(literal 1/6 binary64)))
(+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(fma.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))) #s(literal 1/3 binary64) (.f64 (PI.f64) #s(literal 1/6 binary64)))
(+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(fma.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))) #s(literal 1/3 binary64) (.f64 (PI.f64) #s(literal 1/6 binary64)))
(+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(fma.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))) #s(literal 1/3 binary64) (.f64 (PI.f64) #s(literal 1/6 binary64)))
(+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(fma.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))) #s(literal 1/3 binary64) (.f64 (PI.f64) #s(literal 1/6 binary64)))
(+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(fma.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))) #s(literal 1/3 binary64) (.f64 (PI.f64) #s(literal 1/6 binary64)))
(+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(fma.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))) #s(literal 1/3 binary64) (.f64 (PI.f64) #s(literal 1/6 binary64)))
(+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(fma.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))) #s(literal 1/3 binary64) (.f64 (PI.f64) #s(literal 1/6 binary64)))
(+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(fma.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))) #s(literal 1/3 binary64) (.f64 (PI.f64) #s(literal 1/6 binary64)))
(+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(fma.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))) #s(literal 1/3 binary64) (.f64 (PI.f64) #s(literal 1/6 binary64)))
(+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(fma.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))) #s(literal 1/3 binary64) (.f64 (PI.f64) #s(literal 1/6 binary64)))
(+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(fma.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))) #s(literal 1/3 binary64) (.f64 (PI.f64) #s(literal 1/6 binary64)))
(+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(fma.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))) #s(literal 1/3 binary64) (.f64 (PI.f64) #s(literal 1/6 binary64)))
(+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(fma.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))) #s(literal 1/3 binary64) (.f64 (PI.f64) #s(literal 1/6 binary64)))
(+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(fma.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))) #s(literal 1/3 binary64) (.f64 (PI.f64) #s(literal 1/6 binary64)))
(+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(fma.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))) #s(literal 1/3 binary64) (.f64 (PI.f64) #s(literal 1/6 binary64)))
(+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(fma.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))) #s(literal 1/3 binary64) (.f64 (PI.f64) #s(literal 1/6 binary64)))
(+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(fma.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))) #s(literal 1/3 binary64) (.f64 (PI.f64) #s(literal 1/6 binary64)))
(+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(fma.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))) #s(literal 1/3 binary64) (.f64 (PI.f64) #s(literal 1/6 binary64)))
(+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(fma.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))) #s(literal 1/3 binary64) (.f64 (PI.f64) #s(literal 1/6 binary64)))
(+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(fma.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))) #s(literal 1/3 binary64) (.f64 (PI.f64) #s(literal 1/6 binary64)))
(+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(fma.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))) #s(literal 1/3 binary64) (.f64 (PI.f64) #s(literal 1/6 binary64)))
(* 1/18 (* (sqrt t) x))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x))
(* 1/18 (* (sqrt t) x))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x))
(* 1/18 (* (sqrt t) x))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x))
(* 1/18 (* (sqrt t) x))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x))
(* 1/18 (* (sqrt t) x))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x))
(* 1/18 (* (sqrt t) x))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x))
(* 1/18 (* (sqrt t) x))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x))
(* 1/18 (* (sqrt t) x))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x))
(* 1/18 (* (sqrt t) x))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x))
(* 1/18 (* (sqrt t) x))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x))
(* 1/18 (* (sqrt t) x))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x))
(* 1/18 (* (sqrt t) x))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x))
(* 1/18 (* (sqrt t) x))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x))
(* 1/18 (* (sqrt t) x))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x))
(* 1/18 (* (sqrt t) x))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x))
(* 1/18 (* (sqrt t) x))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x))
(* 1/18 (* (sqrt t) x))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x))
(* 1/18 (* (sqrt t) x))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x))
(* 1/18 (* (sqrt t) x))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x))
(* 1/18 (* (sqrt t) x))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x))
(* -1/18 (* (sqrt t) (* x (pow (sqrt -1) 2))))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x))
(* -1/18 (* (sqrt t) (* x (pow (sqrt -1) 2))))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x))
(* -1/18 (* (sqrt t) (* x (pow (sqrt -1) 2))))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x))
(* -1/18 (* (sqrt t) (* x (pow (sqrt -1) 2))))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x))
(* 1/18 x)
(*.f64 #s(literal 1/18 binary64) x)
(* 1/18 x)
(*.f64 #s(literal 1/18 binary64) x)
(* 1/18 x)
(*.f64 #s(literal 1/18 binary64) x)
(* 1/18 x)
(*.f64 #s(literal 1/18 binary64) x)
(* 1/18 x)
(*.f64 #s(literal 1/18 binary64) x)
(* 1/18 x)
(*.f64 #s(literal 1/18 binary64) x)
(* 1/18 x)
(*.f64 #s(literal 1/18 binary64) x)
(* 1/18 x)
(*.f64 #s(literal 1/18 binary64) x)
(* 1/18 x)
(*.f64 #s(literal 1/18 binary64) x)
(* 1/18 x)
(*.f64 #s(literal 1/18 binary64) x)
(* 1/18 x)
(*.f64 #s(literal 1/18 binary64) x)
(* 1/18 x)
(*.f64 #s(literal 1/18 binary64) x)
(* 1/18 (* (sqrt t) (/ 1 y)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) y))
(* 1/18 (* (sqrt t) (/ 1 y)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) y))
(* 1/18 (* (sqrt t) (/ 1 y)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) y))
(* 1/18 (* (sqrt t) (/ 1 y)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) y))
(* 1/18 (* (sqrt t) (/ 1 y)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) y))
(* 1/18 (* (sqrt t) (/ 1 y)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) y))
(* 1/18 (* (sqrt t) (/ 1 y)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) y))
(* 1/18 (* (sqrt t) (/ 1 y)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) y))
(* -1/18 (* (sqrt t) (/ (pow (sqrt -1) 2) y)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) y))
(* -1/18 (* (sqrt t) (/ (pow (sqrt -1) 2) y)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) y))
(* -1/18 (* (sqrt t) (/ (pow (sqrt -1) 2) y)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) y))
(* -1/18 (* (sqrt t) (/ (pow (sqrt -1) 2) y)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) y))
(* 1/18 (* (sqrt t) (/ 1 y)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) y))
(* 1/18 (* (sqrt t) (/ 1 y)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) y))
(* 1/18 (* (sqrt t) (/ 1 y)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) y))
(* 1/18 (* (sqrt t) (/ 1 y)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) y))
(* 1/18 (* (sqrt t) (/ 1 y)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) y))
(* 1/18 (* (sqrt t) (/ 1 y)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) y))
(* 1/18 (* (sqrt t) (/ 1 y)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) y))
(* 1/18 (* (sqrt t) (/ 1 y)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) y))
(* 1/18 (* (sqrt t) (/ 1 y)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) y))
(* 1/18 (* (sqrt t) (/ 1 y)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) y))
(* 1/18 (* (sqrt t) (/ 1 y)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) y))
(* 1/18 (* (sqrt t) (/ 1 y)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) y))
(* 3 (/ x y))
(/.f64 (*.f64 x #s(literal 3 binary64)) y)
(* 3 (/ x y))
(/.f64 (*.f64 x #s(literal 3 binary64)) y)
(* 3 (/ x y))
(/.f64 (*.f64 x #s(literal 3 binary64)) y)
(* 3 (/ x y))
(/.f64 (*.f64 x #s(literal 3 binary64)) y)
(* 3 (/ x y))
(/.f64 (*.f64 x #s(literal 3 binary64)) y)
(* 3 (/ x y))
(/.f64 (*.f64 x #s(literal 3 binary64)) y)
(* 3 (/ x y))
(/.f64 (*.f64 x #s(literal 3 binary64)) y)
(* 3 (/ x y))
(/.f64 (*.f64 x #s(literal 3 binary64)) y)
(* 3 (/ x y))
(/.f64 (*.f64 x #s(literal 3 binary64)) y)
(* 3 (/ x y))
(/.f64 (*.f64 x #s(literal 3 binary64)) y)
(* 3 (/ x y))
(/.f64 (*.f64 x #s(literal 3 binary64)) y)
(* 3 (/ x y))
(/.f64 (*.f64 x #s(literal 3 binary64)) y)
(* 3 (/ x y))
(/.f64 (*.f64 x #s(literal 3 binary64)) y)
(* 3 (/ x y))
(/.f64 (*.f64 x #s(literal 3 binary64)) y)
(* 3 (/ x y))
(/.f64 (*.f64 x #s(literal 3 binary64)) y)
(* 3 (/ x y))
(/.f64 (*.f64 x #s(literal 3 binary64)) y)
(* 3 (/ x y))
(/.f64 (*.f64 x #s(literal 3 binary64)) y)
(* 3 (/ x y))
(/.f64 (*.f64 x #s(literal 3 binary64)) y)
(* 3 (/ x y))
(/.f64 (*.f64 x #s(literal 3 binary64)) y)
(* 3 (/ x y))
(/.f64 (*.f64 x #s(literal 3 binary64)) y)
(* 3 (/ x y))
(/.f64 (*.f64 x #s(literal 3 binary64)) y)
(* 3 (/ x y))
(/.f64 (*.f64 x #s(literal 3 binary64)) y)
(* 3 (/ x y))
(/.f64 (*.f64 x #s(literal 3 binary64)) y)
(* 3 (/ x y))
(/.f64 (*.f64 x #s(literal 3 binary64)) y)

eval3.2s (8.9%)

Memory: 43.0MiB live, 971.0MiB allocated
Compiler: Compiled 104 382 to 4 799 computations (95.4% saved)

prune258.0ms (0.7%)

Memory

-23.2MiB live, 671.9MiB allocated

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	3 259	2	3 261
Fresh	2	0	2
Picked	3	2	5
Done	0	0	0
Total	3 264	4	3 268

Accuracy

100.0%

Counts

3 268 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.4%	(fma.f64 (PI.f64) #s(literal 1/6 binary64) (.f64 (fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z))))) #s(literal -1/3 binary64)))
✓	96.9%	(fma.f64 (PI.f64) #s(literal 1/6 binary64) (.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))) #s(literal -1/3 binary64)))
✓	98.1%	(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 y z)) (sqrt.f64 t))))
▶	97.3%	(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 x y) (*.f64 (/.f64 #s(literal 1/18 binary64) z) (sqrt.f64 t)))))

Compiler

Compiled 82 to 63 computations (23.2% saved)

simplify6.0s (16.9%)

Memory

1.9MiB live, 2 633.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(PI.f64)
✓	cost-diff	128	(.f64 (fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z))))) #s(literal -1/3 binary64))
✓	cost-diff	768	(fma.f64 (PI.f64) #s(literal 1/6 binary64) (.f64 (fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z))))) #s(literal -1/3 binary64)))
✓	cost-diff	1600	(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z)))))
✓	cost-diff	0	(/.f64 x y)
✓	cost-diff	0	(acos.f64 (.f64 (/.f64 x y) (.f64 (/.f64 #s(literal 1/18 binary64) z) (sqrt.f64 t))))
✓	cost-diff	0	(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 x y) (*.f64 (/.f64 #s(literal 1/18 binary64) z) (sqrt.f64 t)))))
✓	cost-diff	384	(.f64 (/.f64 x y) (.f64 (/.f64 #s(literal 1/18 binary64) z) (sqrt.f64 t)))

Rules

114 352×	`accelerator-lowering-fma.f32`
114 352×	`accelerator-lowering-fma.f64`
6 628×	`-lowering-.f32`
6 628×	`-lowering-.f64`
4 804×	`distribute-lft-out`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	170
1	64	162
2	149	162
3	326	162
4	442	162
5	544	162
6	763	162
7	1533	162
8	3485	162
9	5024	162
10	5650	162
11	6203	162
12	6533	162
13	6688	162
14	6718	162
15	7002	162
16	7257	162
17	7257	162
18	7257	162
19	7257	162
0	9940	161

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* 1/3 (acos (* (/ x y) (* (/ 1/18 z) (sqrt t)))))
1/3
(acos (* (/ x y) (* (/ 1/18 z) (sqrt t))))
(* (/ x y) (* (/ 1/18 z) (sqrt t)))
(/ x y)
x
y
(* (/ 1/18 z) (sqrt t))
(/ 1/18 z)
1/18
z
(sqrt t)
t
(+ (* (PI) 1/6) (* (+ (* (sqrt (PI)) (* (sqrt (PI)) 1/2)) (neg (acos (/ (* 1/18 (* x (sqrt t))) (* y z))))) -1/3))
(PI)
1/6
(* (+ (* (sqrt (PI)) (* (sqrt (PI)) 1/2)) (neg (acos (/ (* 1/18 (* x (sqrt t))) (* y z))))) -1/3)
(+ (* (sqrt (PI)) (* (sqrt (PI)) 1/2)) (neg (acos (/ (* 1/18 (* x (sqrt t))) (* y z)))))
(sqrt (PI))
(* (sqrt (PI)) 1/2)
1/2
(neg (acos (/ (* 1/18 (* x (sqrt t))) (* y z))))
(acos (/ (* 1/18 (* x (sqrt t))) (* y z)))
(/ (* 1/18 (* x (sqrt t))) (* y z))
(* 1/18 (* x (sqrt t)))
1/18
(* x (sqrt t))
x
(sqrt t)
t
(* y z)
y
z
-1/3

Outputs
(* 1/3 (acos (* (/ x y) (* (/ 1/18 z) (sqrt t)))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z))))
1/3
#s(literal 1/3 binary64)
(acos (* (/ x y) (* (/ 1/18 z) (sqrt t))))
(acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))
(* (/ x y) (* (/ 1/18 z) (sqrt t)))
(/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(/ x y)
(/.f64 x y)
x
y
(* (/ 1/18 z) (sqrt t))
(/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)
(/ 1/18 z)
(/.f64 #s(literal 1/18 binary64) z)
1/18
#s(literal 1/18 binary64)
z
(sqrt t)
(sqrt.f64 t)
t
(+ (* (PI) 1/6) (* (+ (* (sqrt (PI)) (* (sqrt (PI)) 1/2)) (neg (acos (/ (* 1/18 (* x (sqrt t))) (* y z))))) -1/3))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z))))
(PI)
(PI.f64)
1/6
#s(literal 1/6 binary64)
(* (+ (* (sqrt (PI)) (* (sqrt (PI)) 1/2)) (neg (acos (/ (* 1/18 (* x (sqrt t))) (* y z))))) -1/3)
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z))) (.f64 (PI.f64) #s(literal -1/6 binary64)))
(+ (* (sqrt (PI)) (* (sqrt (PI)) 1/2)) (neg (acos (/ (* 1/18 (* x (sqrt t))) (* y z)))))
(-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z))))
(sqrt (PI))
(sqrt.f64 (PI.f64))
(* (sqrt (PI)) 1/2)
(*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(neg (acos (/ (* 1/18 (* x (sqrt t))) (* y z))))
(neg.f64 (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))))
(acos (/ (* 1/18 (* x (sqrt t))) (* y z)))
(acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))
(/ (* 1/18 (* x (sqrt t))) (* y z))
(/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* x (sqrt t)))
(.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
1/18
#s(literal 1/18 binary64)
(* x (sqrt t))
(*.f64 x (sqrt.f64 t))
x
(sqrt t)
(sqrt.f64 t)
t
(* y z)
(*.f64 y z)
y
z
-1/3
#s(literal -1/3 binary64)

localize206.0ms (0.6%)

Memory

23.1MiB live, 346.0MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.5%	(fma.f64 (PI.f64) #s(literal 1/6 binary64) (.f64 (fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z))))) #s(literal -1/3 binary64)))
✓	accuracy	98.4%	(sqrt.f64 (PI.f64))
✓	accuracy	88.9%	(/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z))
✓	accuracy	6.9%	(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z)))))
✓	accuracy	99.5%	(*.f64 (/.f64 #s(literal 1/18 binary64) z) (sqrt.f64 t))
✓	accuracy	99.3%	(/.f64 #s(literal 1/18 binary64) z)
✓	accuracy	98.5%	(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 x y) (*.f64 (/.f64 #s(literal 1/18 binary64) z) (sqrt.f64 t)))))
✓	accuracy	90.2%	(.f64 (/.f64 x y) (.f64 (/.f64 #s(literal 1/18 binary64) z) (sqrt.f64 t)))

Samples

97.0ms	138×	2	valid
49.0ms	94×	1	valid
10.0ms	13×	3	valid
3.0ms	11×	0	valid

Compiler

Compiled 183 to 32 computations (82.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 109.0ms

ival-mult: 30.0ms (27.5% of total)

const: 19.0ms (17.4% of total)

ival-acos: 15.0ms (13.7% of total)

adjust: 14.0ms (12.8% of total)

ival-div: 9.0ms (8.2% of total)

ival-sqrt: 9.0ms (8.2% of total)

ival-add: 6.0ms (5.5% of total)

ival-pi: 5.0ms (4.6% of total)

ival-neg: 3.0ms (2.7% of total)

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

exact: 0.0ms (0% of total)

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

series19.0ms (0.1%)

Memory

3.0MiB live, 41.2MiB allocated

Counts

12 → 396

Calls

Call 1

Inputs
#<alt (* (/ x y) (* (/ 1/18 z) (sqrt t)))>
#<alt (* 1/3 (acos (* (/ x y) (* (/ 1/18 z) (sqrt t)))))>
#<alt (acos (* (/ x y) (* (/ 1/18 z) (sqrt t))))>
#<alt (/ x y)>
#<alt (+ (* (sqrt (PI)) (* (sqrt (PI)) 1/2)) (neg (acos (/ (* 1/18 (* x (sqrt t))) (* y z)))))>
#<alt (+ (* (PI) 1/6) (* (+ (* (sqrt (PI)) (* (sqrt (PI)) 1/2)) (neg (acos (/ (* 1/18 (* x (sqrt t))) (* y z))))) -1/3))>
#<alt (* (+ (* (sqrt (PI)) (* (sqrt (PI)) 1/2)) (neg (acos (/ (* 1/18 (* x (sqrt t))) (* y z))))) -1/3)>
#<alt (PI)>
#<alt (/ 1/18 z)>
#<alt (* (/ 1/18 z) (sqrt t))>
#<alt (/ (* 1/18 (* x (sqrt t))) (* y z))>
#<alt (sqrt (PI))>

Outputs
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))>
#<alt (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))>
#<alt (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))>
#<alt (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))>
#<alt (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (+ (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (* 1/6 (PI)))>
#<alt (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))>
#<alt (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))>
#<alt (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))>
#<alt (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))>
#<alt (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (/ 1/18 z)>
#<alt (/ 1/18 z)>
#<alt (/ 1/18 z)>
#<alt (/ 1/18 z)>
#<alt (/ 1/18 z)>
#<alt (/ 1/18 z)>
#<alt (/ 1/18 z)>
#<alt (/ 1/18 z)>
#<alt (/ 1/18 z)>
#<alt (/ 1/18 z)>
#<alt (/ 1/18 z)>
#<alt (/ 1/18 z)>
#<alt (* 1/18 (* (sqrt t) (/ 1 z)))>
#<alt (* 1/18 (* (sqrt t) (/ 1 z)))>
#<alt (* 1/18 (* (sqrt t) (/ 1 z)))>
#<alt (* 1/18 (* (sqrt t) (/ 1 z)))>
#<alt (* 1/18 (* (sqrt t) (/ 1 z)))>
#<alt (* 1/18 (* (sqrt t) (/ 1 z)))>
#<alt (* 1/18 (* (sqrt t) (/ 1 z)))>
#<alt (* 1/18 (* (sqrt t) (/ 1 z)))>
#<alt (* 1/18 (* (sqrt t) (/ 1 z)))>
#<alt (* 1/18 (* (sqrt t) (/ 1 z)))>
#<alt (* 1/18 (* (sqrt t) (/ 1 z)))>
#<alt (* 1/18 (* (sqrt t) (/ 1 z)))>
#<alt (* 1/18 (* (sqrt t) (/ 1 z)))>
#<alt (* 1/18 (* (sqrt t) (/ 1 z)))>
#<alt (* 1/18 (* (sqrt t) (/ 1 z)))>
#<alt (* 1/18 (* (sqrt t) (/ 1 z)))>
#<alt (* 1/18 (* (sqrt t) (/ 1 z)))>
#<alt (* 1/18 (* (sqrt t) (/ 1 z)))>
#<alt (* 1/18 (* (sqrt t) (/ 1 z)))>
#<alt (* 1/18 (* (sqrt t) (/ 1 z)))>
#<alt (* -1/18 (* (sqrt t) (/ (pow (sqrt -1) 2) z)))>
#<alt (* -1/18 (* (sqrt t) (/ (pow (sqrt -1) 2) z)))>
#<alt (* -1/18 (* (sqrt t) (/ (pow (sqrt -1) 2) z)))>
#<alt (* -1/18 (* (sqrt t) (/ (pow (sqrt -1) 2) z)))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>

Calls

99 calls:

Time	Variable		Point	Expression
2.0ms	y	@	inf	(* 1/3 (acos (* (/ x y) (* (/ 1/18 z) (sqrt t)))))
1.0ms	t	@	-inf	(* (/ 1/18 z) (sqrt t))
1.0ms	t	@	0	(* (/ 1/18 z) (sqrt t))
0.0ms	t	@	-inf	(+ (* (PI) 1/6) (* (+ (* (sqrt (PI)) (* (sqrt (PI)) 1/2)) (neg (acos (/ (* 1/18 (* x (sqrt t))) (* y z))))) -1/3))
0.0ms	z	@	0	(* (/ 1/18 z) (sqrt t))

rewrite355.0ms (1%)

Memory

-22.0MiB live, 651.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 950×	`accelerator-lowering-fma.f32`
7 950×	`accelerator-lowering-fma.f64`
5 726×	`-lowering-.f32`
5 726×	`-lowering-.f64`
2 900×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	112
1	132	100
2	978	100
0	8573	99

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 878

Calls

Call 1

Inputs
(* (/ x y) (* (/ 1/18 z) (sqrt t)))
(* 1/3 (acos (* (/ x y) (* (/ 1/18 z) (sqrt t)))))
(acos (* (/ x y) (* (/ 1/18 z) (sqrt t))))
(/ x y)
(+ (* (sqrt (PI)) (* (sqrt (PI)) 1/2)) (neg (acos (/ (* 1/18 (* x (sqrt t))) (* y z)))))
(+ (* (PI) 1/6) (* (+ (* (sqrt (PI)) (* (sqrt (PI)) 1/2)) (neg (acos (/ (* 1/18 (* x (sqrt t))) (* y z))))) -1/3))
(* (+ (* (sqrt (PI)) (* (sqrt (PI)) 1/2)) (neg (acos (/ (* 1/18 (* x (sqrt t))) (* y z))))) -1/3)
(PI)
(/ 1/18 z)
(* (/ 1/18 z) (sqrt t))
(/ (* 1/18 (* x (sqrt t))) (* y z))
(sqrt (PI))

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 y z) (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 y (neg.f64 z))) (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (.f64 y z)))
(neg.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z)))
(neg.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (.f64 y z))))
(neg.f64 (.f64 (.f64 (/.f64 x y) (sqrt.f64 t)) (/.f64 #s(literal -1/18 binary64) z)))
(neg.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (/.f64 (.f64 x (sqrt.f64 t)) y)) (neg.f64 z)))
(neg.f64 (/.f64 (.f64 x (/.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) (neg.f64 y)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (.f64 y z) (.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
(neg.f64 (/.f64 (.f64 #s(literal -1/18 binary64) (/.f64 (.f64 x (sqrt.f64 t)) y)) z))
(neg.f64 (/.f64 (.f64 (.f64 x #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)) y))
(/.f64 x (.f64 y (/.f64 z (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(/.f64 x (.f64 (/.f64 z (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) y))
(/.f64 (/.f64 x y) (/.f64 z (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))
(/.f64 #s(literal 1/18 binary64) (/.f64 (.f64 y z) (.f64 x (sqrt.f64 t))))
(/.f64 #s(literal 1/18 binary64) (.f64 y (/.f64 z (.f64 x (sqrt.f64 t)))))
(/.f64 #s(literal 1/18 binary64) (.f64 (/.f64 z (.f64 x (sqrt.f64 t))) y))
(/.f64 (sqrt.f64 t) (.f64 (.f64 (/.f64 y x) z) #s(literal 18 binary64)))
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 y x))
(/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (*.f64 z #s(literal 18 binary64))))
(/.f64 (.f64 x (sqrt.f64 t)) (.f64 (*.f64 z #s(literal 18 binary64)) y))
(/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 y z) (.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 y (.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) z))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 y x) z) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 z (/.f64 y x)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))
(/.f64 #s(literal 1 binary64) (/.f64 z (.f64 (/.f64 #s(literal 1/18 binary64) y) (.f64 x (sqrt.f64 t)))))
(/.f64 #s(literal 1 binary64) (/.f64 z (.f64 (/.f64 x y) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(/.f64 #s(literal -1/18 binary64) (.f64 (neg.f64 y) (/.f64 z (.f64 x (sqrt.f64 t)))))
(/.f64 #s(literal -1/18 binary64) (.f64 (/.f64 z (.f64 x (sqrt.f64 t))) (neg.f64 y)))
(/.f64 (neg.f64 x) (.f64 (neg.f64 y) (/.f64 z (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y (neg.f64 z)))
(/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))
(/.f64 (/.f64 (.f64 x (sqrt.f64 t)) z) (.f64 y #s(literal 18 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 (.f64 y z) (.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)))))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 y (neg.f64 x)) (/.f64 z (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
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(.f64 (/.f64 (.f64 x (sqrt.f64 t)) (*.f64 y z)) #s(literal 1/18 binary64))
(.f64 (.f64 #s(literal -1/18 binary64) (/.f64 (*.f64 x (sqrt.f64 t)) y)) (/.f64 #s(literal -1 binary64) z))
(.f64 (.f64 (*.f64 x #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)) (/.f64 #s(literal -1 binary64) y))
(.f64 (/.f64 (sqrt.f64 t) z) (/.f64 (.f64 x #s(literal 1/18 binary64)) y))
(.f64 (/.f64 x z) (/.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y))
(.f64 (/.f64 (sqrt.f64 t) y) (/.f64 x (.f64 z #s(literal 18 binary64))))
(*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 #s(literal 1 binary64) x)))
(.f64 (/.f64 (.f64 x (sqrt.f64 t)) y) (/.f64 #s(literal 1/18 binary64) z))
(.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) y) (/.f64 (sqrt.f64 t) z))
(.f64 (/.f64 #s(literal -1 binary64) z) (.f64 #s(literal -1/18 binary64) (/.f64 (*.f64 x (sqrt.f64 t)) y)))
(.f64 (/.f64 #s(literal -1 binary64) y) (.f64 (*.f64 x #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))
(.f64 (/.f64 #s(literal -1/18 binary64) z) (/.f64 (neg.f64 (.f64 x (sqrt.f64 t))) y))
(.f64 (/.f64 #s(literal -1/18 binary64) z) (/.f64 (.f64 x (sqrt.f64 t)) (neg.f64 y)))
(.f64 (/.f64 x (neg.f64 y)) (/.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (neg.f64 z)))
(.f64 (/.f64 x (.f64 z #s(literal 18 binary64))) (/.f64 (sqrt.f64 t) y))
(.f64 (.f64 (/.f64 x y) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) z))
(.f64 (.f64 (/.f64 x y) #s(literal 1/18 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 t)))
(.f64 (.f64 (/.f64 x y) (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) z))
(.f64 (/.f64 #s(literal 1/18 binary64) (.f64 y z)) (*.f64 x (sqrt.f64 t)))
(.f64 (.f64 (/.f64 #s(literal 1/18 binary64) y) (*.f64 x (sqrt.f64 t))) (/.f64 #s(literal 1 binary64) z))
(.f64 (.f64 (/.f64 x y) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (/.f64 #s(literal 1 binary64) z))
(.f64 (/.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) y) x)
(.f64 (/.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(.f64 (pow.f64 (/.f64 y (.f64 x (sqrt.f64 t))) #s(literal -1 binary64)) (/.f64 #s(literal 1/18 binary64) z))
(.f64 (pow.f64 (/.f64 y (.f64 x #s(literal 1/18 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 z (sqrt.f64 t)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 z (.f64 x #s(literal 1/18 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 y (sqrt.f64 t)) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 t))) (/.f64 #s(literal 1/18 binary64) (.f64 y z)))
(.f64 (/.f64 (neg.f64 (.f64 x (sqrt.f64 t))) y) (/.f64 #s(literal -1/18 binary64) z))
(.f64 (/.f64 (.f64 x (sqrt.f64 t)) #s(literal -1 binary64)) (/.f64 #s(literal -1/18 binary64) (*.f64 y z)))
(.f64 (/.f64 #s(literal -1/18 binary64) y) (/.f64 (.f64 x (sqrt.f64 t)) (neg.f64 z)))
(.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 (sqrt.f64 t)) (*.f64 y z)))
(.f64 (/.f64 (neg.f64 (.f64 x (sqrt.f64 t))) #s(literal -1 binary64)) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))
(.f64 (/.f64 (.f64 x #s(literal -1/18 binary64)) #s(literal -1 binary64)) (/.f64 (sqrt.f64 t) (*.f64 y z)))
(*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (/.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) x)))
(.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z))
(.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) x)))
(.f64 (/.f64 #s(literal 1/18 binary64) (neg.f64 y)) (/.f64 (neg.f64 (.f64 x (sqrt.f64 t))) z))
(.f64 (/.f64 (neg.f64 (.f64 x (sqrt.f64 t))) z) (/.f64 #s(literal 1/18 binary64) (neg.f64 y)))
(.f64 (/.f64 (.f64 x (sqrt.f64 t)) (neg.f64 z)) (/.f64 #s(literal -1/18 binary64) y))
(.f64 (/.f64 (.f64 x (sqrt.f64 t)) (neg.f64 y)) (/.f64 #s(literal -1/18 binary64) z))
(.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (neg.f64 z)) (/.f64 (neg.f64 (sqrt.f64 t)) y))
(.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (neg.f64 y)) (/.f64 (neg.f64 (sqrt.f64 t)) z))
(.f64 (/.f64 (.f64 x #s(literal -1/18 binary64)) y) (/.f64 (sqrt.f64 t) (neg.f64 z)))
(.f64 (/.f64 (.f64 x #s(literal -1/18 binary64)) z) (/.f64 (sqrt.f64 t) (neg.f64 y)))
(.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (neg.f64 z)) (/.f64 x (neg.f64 y)))
(.f64 (/.f64 (neg.f64 x) z) (/.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (neg.f64 y)))
(.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (neg.f64 y)) (/.f64 (neg.f64 x) z))
(.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) y))
(.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 (sqrt.f64 t) (.f64 y (*.f64 z #s(literal 18 binary64)))))
(.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) #s(literal -1 binary64)) (/.f64 (neg.f64 x) (*.f64 y z)))
(.f64 (/.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) #s(literal -1 binary64)) (/.f64 x (neg.f64 y)))
(.f64 (pow.f64 (/.f64 (.f64 y z) (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (.f64 y z) (.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1/18 binary64) (/.f64 x y)) (/.f64 (sqrt.f64 t) z))
(.f64 (.f64 #s(literal 1/18 binary64) (/.f64 x z)) (/.f64 (sqrt.f64 t) y))
(.f64 (.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) y)) (/.f64 x z))
(.f64 (.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) #s(literal 1/18 binary64))) (/.f64 #s(literal 1 binary64) z))
(.f64 (.f64 #s(literal 1 binary64) (.f64 x (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 y z)))
(.f64 (.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/18 binary64))) (/.f64 (sqrt.f64 t) (.f64 y z)))
(.f64 (.f64 #s(literal 1 binary64) (.f64 x (/.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z))) (/.f64 #s(literal 1 binary64) y))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (sqrt.f64 t)) y)) (/.f64 #s(literal 1/18 binary64) z))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 1/18 binary64)) y)) (/.f64 (sqrt.f64 t) z))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 x (*.f64 z #s(literal 18 binary64)))) (/.f64 (sqrt.f64 t) y))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) (sqrt.f64 t))) (/.f64 #s(literal 1/18 binary64) z))
(.f64 (.f64 (/.f64 #s(literal 1/18 binary64) y) x) (/.f64 (sqrt.f64 t) z))
(.f64 (.f64 (/.f64 #s(literal 1/18 binary64) y) (sqrt.f64 t)) (/.f64 x z))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 y z)) x) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 y z)) (sqrt.f64 t)) (.f64 x #s(literal 1/18 binary64)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 y z)) (.f64 x (sqrt.f64 t))) #s(literal 1/18 binary64))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 y z)) (.f64 x #s(literal 1/18 binary64))) (sqrt.f64 t))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 y z)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) x)
(.f64 (.f64 (/.f64 x (.f64 y (.f64 z #s(literal 18 binary64)))) (pow.f64 t #s(literal 1/4 binary64))) (pow.f64 t #s(literal 1/4 binary64)))
(.f64 (.f64 (.f64 x (/.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(.f64 (.f64 (.f64 #s(literal 1/18 binary64) (/.f64 (.f64 x (sqrt.f64 t)) y)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z))
(.f64 (.f64 (/.f64 (*.f64 x (sqrt.f64 t)) y) #s(literal 1/18 binary64)) (/.f64 #s(literal 1 binary64) z))
(.f64 (.f64 (/.f64 (*.f64 x (sqrt.f64 t)) y) #s(literal 1 binary64)) (/.f64 #s(literal 1/18 binary64) z))
(.f64 (.f64 (/.f64 (*.f64 x (sqrt.f64 t)) y) #s(literal -1/18 binary64)) (/.f64 #s(literal -1 binary64) z))
(.f64 (.f64 (*.f64 (/.f64 x y) (sqrt.f64 t)) #s(literal 1 binary64)) (/.f64 #s(literal 1/18 binary64) z))
(.f64 (.f64 (*.f64 (/.f64 x y) (sqrt.f64 t)) #s(literal -1/18 binary64)) (/.f64 #s(literal -1 binary64) z))
(.f64 (.f64 (*.f64 (/.f64 x y) (sqrt.f64 t)) (/.f64 #s(literal 1 binary64) z)) #s(literal 1/18 binary64))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) #s(literal 1 binary64)))
(fabs.f64 (sqrt.f64 (PI.f64)))
(fabs.f64 (neg.f64 (sqrt.f64 (PI.f64))))
(sqrt.f64 (PI.f64))
(pow.f64 (PI.f64) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3/2 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
(pow.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 2 binary64))
(*.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (fabs.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64))))
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)))

simplify534.0ms (1.5%)

Memory

31.2MiB live, 427.3MiB allocated

Algorithm

1×	egg-herbie

Rules

4 122×	`accelerator-lowering-fma.f32`
4 122×	`accelerator-lowering-fma.f64`
3 594×	`-lowering-.f32`
3 594×	`-lowering-.f64`
1 874×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	4672
1	93	4564
2	252	4524
3	938	4524
4	2129	4524
5	3656	4524
6	4907	4524
7	6969	4524
0	8160	4476

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 396

Calls

Call 1

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

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

eval1.3s (3.6%)

Memory: -13.7MiB live, 379.6MiB allocated
Compiler: Compiled 34 786 to 3 779 computations (89.1% saved)

prune645.0ms (1.8%)

Memory

-6.0MiB live, 329.3MiB allocated

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	1 393	2	1 395
Fresh	0	0	0
Picked	1	1	2
Done	0	2	2
Total	1 394	5	1 399

Accuracy

100.0%

Counts

1 399 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.6%	(fma.f64 (PI.f64) #s(literal 1/6 binary64) (.f64 (fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (.f64 (/.f64 x (.f64 y (*.f64 z #s(literal 18 binary64)))) (sqrt.f64 t))))) #s(literal -1/3 binary64)))
✓	96.9%	(fma.f64 (PI.f64) #s(literal 1/6 binary64) (.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))) #s(literal -1/3 binary64)))
	96.9%	(fma.f64 (PI.f64) #s(literal -1/6 binary64) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (.f64 z #s(literal 18 binary64))))) (.f64 (PI.f64) #s(literal 1/6 binary64))))
✓	98.1%	(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 y z)) (sqrt.f64 t))))
✓	97.3%	(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 x y) (*.f64 (/.f64 #s(literal 1/18 binary64) z) (sqrt.f64 t)))))

Compiler

Compiled 541 to 216 computations (60.1% saved)

regimes295.0ms (0.8%)

Memory

-19.1MiB live, 138.1MiB allocated

Counts

18 → 1

Calls

Call 1

Inputs
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 y z)) (sqrt.f64 t))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 x y) (*.f64 (/.f64 #s(literal 1/18 binary64) z) (sqrt.f64 t)))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) y))) z)))
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))) #s(literal -1/3 binary64)))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (.f64 (/.f64 x y) #s(literal 3 binary64)) (.f64 z #s(literal 54 binary64))) (sqrt.f64 t))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z))) (sqrt.f64 t))))
(fma.f64 (PI.f64) #s(literal -1/6 binary64) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (.f64 z #s(literal 18 binary64))))) (.f64 (PI.f64) #s(literal 1/6 binary64))))
(.f64 #s(literal 1/3 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))))
(fma.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1/3 binary64) (.f64 (neg.f64 (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 3 binary64) (sqrt.f64 t))) (.f64 z (.f64 #s(literal 54 binary64) y))))) #s(literal 1/3 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))))
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (.f64 (fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (.f64 (/.f64 x (.f64 y (*.f64 z #s(literal 18 binary64)))) (sqrt.f64 t))))) #s(literal -1/3 binary64)))
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (.f64 (fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z))))) #s(literal -1/3 binary64)))
(/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))) #s(literal 2 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z)))))
(.f64 (/.f64 #s(literal 1/3 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))))) (-.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/36 binary64)) (pow.f64 (.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))) #s(literal -1/3 binary64)) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/6 binary64) (.f64 #s(literal 1/3 binary64) (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 3 binary64) (sqrt.f64 t))) (.f64 z (.f64 #s(literal 54 binary64) y)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 3 binary64) (sqrt.f64 t))) (.f64 z (*.f64 #s(literal 54 binary64) y))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 3 binary64) (sqrt.f64 t))) (.f64 z (.f64 #s(literal 54 binary64) y)))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 3 binary64) (sqrt.f64 t))) (.f64 z (.f64 #s(literal 54 binary64) y)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 3 binary64) (sqrt.f64 t))) (.f64 z (.f64 #s(literal 54 binary64) y))))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))

Outputs

(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y (*.f64 z #s(literal 18 binary64)))) (sqrt.f64 t))))) #s(literal -1/3 binary64)))

Calls

13 calls:

106.0ms	(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
98.0ms	t
12.0ms	(*.f64 z #s(literal 2 binary64))
5.0ms	(sqrt.f64 t)
5.0ms	z

Results

Accuracy	Segments	Branch
99.6%	1	`x`
99.6%	1	`y`
99.6%	1	`z`
99.6%	1	`t`
99.6%	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))))`
99.6%	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)))`
99.6%	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))`
99.6%	1	`(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))`
99.6%	1	`(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))`
99.6%	1	`(/.f64 x (*.f64 y #s(literal 27 binary64)))`
99.6%	1	`(*.f64 y #s(literal 27 binary64))`
99.6%	1	`(*.f64 z #s(literal 2 binary64))`
99.6%	1	`(sqrt.f64 t)`

Compiler

Compiled 135 to 108 computations (20% saved)

regimes117.0ms (0.3%)

Memory

32.2MiB live, 111.3MiB allocated

Counts

11 → 1

Calls

Call 1

Inputs
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 y z)) (sqrt.f64 t))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 x y) (*.f64 (/.f64 #s(literal 1/18 binary64) z) (sqrt.f64 t)))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) y))) z)))
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))) #s(literal -1/3 binary64)))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (.f64 (/.f64 x y) #s(literal 3 binary64)) (.f64 z #s(literal 54 binary64))) (sqrt.f64 t))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z))) (sqrt.f64 t))))
(fma.f64 (PI.f64) #s(literal -1/6 binary64) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (.f64 z #s(literal 18 binary64))))) (.f64 (PI.f64) #s(literal 1/6 binary64))))
(.f64 #s(literal 1/3 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))))
(fma.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1/3 binary64) (.f64 (neg.f64 (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 3 binary64) (sqrt.f64 t))) (.f64 z (.f64 #s(literal 54 binary64) y))))) #s(literal 1/3 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))))

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

Calls

13 calls:

42.0ms	t
36.0ms	(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))
4.0ms	(*.f64 z #s(literal 2 binary64))
4.0ms	x
4.0ms	(sqrt.f64 t)

Results

Accuracy	Segments	Branch
98.1%	1	`x`
98.1%	1	`y`
98.1%	1	`z`
98.1%	1	`t`
98.1%	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))))`
98.1%	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)))`
98.1%	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))`
98.1%	1	`(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))`
98.1%	1	`(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))`
98.1%	1	`(/.f64 x (*.f64 y #s(literal 27 binary64)))`
98.1%	1	`(*.f64 y #s(literal 27 binary64))`
98.1%	1	`(*.f64 z #s(literal 2 binary64))`
98.1%	1	`(sqrt.f64 t)`

Compiler

Compiled 135 to 108 computations (20% saved)

regimes105.0ms (0.3%)

Memory

-17.7MiB live, 60.8MiB allocated

Accuracy

Total -1.5b remaining (-120.8%)

Threshold costs -1.5b (-120.8%)

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

13 calls:

43.0ms	z
42.0ms	(*.f64 z #s(literal 2 binary64))
2.0ms	y
2.0ms	(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))
2.0ms	(sqrt.f64 t)

Results

Accuracy	Segments	Branch
98.1%	1	`x`
98.1%	1	`y`
98.1%	1	`z`
98.1%	1	`t`
98.1%	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))))`
98.1%	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)))`
98.1%	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))`
98.1%	1	`(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))`
98.1%	1	`(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))`
98.1%	1	`(/.f64 x (*.f64 y #s(literal 27 binary64)))`
98.1%	1	`(*.f64 y #s(literal 27 binary64))`
98.1%	1	`(*.f64 z #s(literal 2 binary64))`
98.1%	1	`(sqrt.f64 t)`

Compiler

Compiled 135 to 108 computations (20% saved)

simplify9.0ms (0%)

Memory

19.3MiB live, 19.3MiB allocated

Algorithm

1×	egg-herbie

Rules

26×	`*-commutative_binary64`
2×	`+-commutative_binary64`
2×	`sub-neg_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	50
1	51	50
2	53	50
3	54	50

Stop Event

1×

saturated

Calls

Call 1

Inputs

(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y (*.f64 z #s(literal 18 binary64)))) (sqrt.f64 t))))) #s(literal -1/3 binary64)))

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

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

Outputs
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (.f64 (fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (.f64 (/.f64 x (.f64 y (*.f64 z #s(literal 18 binary64)))) (sqrt.f64 t))))) #s(literal -1/3 binary64)))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) y))) z)))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 y z)) (sqrt.f64 t))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 y z)))))

soundness726.0ms (2%)

Memory

-11.7MiB live, 626.1MiB allocated

Rules

7 950×	`accelerator-lowering-fma.f32`
7 950×	`accelerator-lowering-fma.f64`
7 444×	`accelerator-lowering-fma.f32`
7 444×	`accelerator-lowering-fma.f64`
6 066×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	112
1	132	100
2	978	100
0	8573	99
0	53	261
1	236	248
2	1733	244
0	8340	244
0	31	1616
1	66	1604
2	197	1596
3	725	1596
4	2560	1596
5	4452	1596
6	6233	1596
0	8092	1596
0	47	303
1	221	259
2	1597	259
0	8415	255

Stop Event

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

Compiler

Compiled 160 to 118 computations (26.3% saved)

preprocess87.0ms (0.2%)

Memory: -9.5MiB live, 233.0MiB allocated
Remove: (sort y z)
Compiler: Compiled 308 to 222 computations (27.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze352.0ms (1%)

sample5.1s (14.4%)

preprocess169.0ms (0.5%)

explain284.0ms (0.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify86.0ms (0.2%)

localize57.0ms (0.2%)

series33.0ms (0.1%)

rewrite311.0ms (0.9%)

simplify194.0ms (0.5%)

eval113.0ms (0.3%)

prune99.0ms (0.3%)

simplify351.0ms (1%)

localize212.0ms (0.6%)

series120.0ms (0.3%)

rewrite1.0s (2.9%)

simplify431.0ms (1.2%)

eval1.1s (3%)

prune10.2s (28.7%)

simplify251.0ms (0.7%)

localize232.0ms (0.7%)

series53.0ms (0.2%)

rewrite474.0ms (1.3%)

simplify461.0ms (1.3%)

eval3.2s (8.9%)

prune258.0ms (0.7%)

simplify6.0s (16.9%)

localize206.0ms (0.6%)

series19.0ms (0.1%)

rewrite355.0ms (1%)

simplify534.0ms (1.5%)

eval1.3s (3.6%)

prune645.0ms (1.8%)

regimes295.0ms (0.8%)

regimes117.0ms (0.3%)

regimes105.0ms (0.3%)

simplify9.0ms (0%)

soundness726.0ms (2%)

preprocess87.0ms (0.2%)

end0.0ms (0%)

Profiling