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

analyze363.0ms (1.1%)

Memory

1.6MiB live, 551.0MiB 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)

sample6.1s (18.1%)

Memory

-53.0MiB live, 6 062.2MiB allocated

Samples

3.1s	16 036×	0	invalid
1.0s	8 256×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 3.0s

ival-mult: 1.8s (60.1% of total)

ival-div: 734.0ms (24.4% of total)

ival-sqrt: 205.0ms (6.8% of total)

ival-acos: 186.0ms (6.2% of total)

exact: 44.0ms (1.5% of total)

ival-true: 20.0ms (0.7% of total)

ival-assert: 10.0ms (0.3% of total)

Bogosity

preprocess158.0ms (0.5%)

Memory

-5.5MiB live, 117.4MiB allocated

Algorithm

1×	egg-herbie

Rules

2 044×	`lower-*.f32`
2 034×	`lower-*.f64`
1 530×	`unsub-neg`
1 368×	`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	18	17
0	29	17
1	49	15
2	127	13
3	394	13
4	1401	13
5	3100	13
6	3190	13
7	3241	13
8	3241	13
9	3241	13
10	3840	13
11	3879	13
12	3879	13
0	3879	13

Stop Event

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

Calls

Call 1

Inputs

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

Outputs

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

(*.f64 #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)

explain237.0ms (0.7%)

Memory

3.1MiB live, 321.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
21	-	1	(-1.3548368496568417e-186 -4.80320306784686e+134 2.195878354427211e-210 1.610452793881823e-237)	`(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))`
19	-	3	(8.872925117559097e-251 -1.0111531907008099e-234 1.1068265967388246e+294 3.891174405915382e+222)	`(.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	19	0
↳	`(/.f64 x (*.f64 y #s(literal 27 binary64)))`	underflow	62
↳	`(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))`	underflow	62
`*.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**	16	0
`/.f64`	`(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))`	o/n	1	0
↳	`(*.f64 y #s(literal 27 binary64))`	overflow	1
↳	`(/.f64 x (*.f64 y #s(literal 27 binary64)))`	overflow	1
↳	`(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 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 -
+	1	0
-	36	219

Precision

0.02702702702702703

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	36	0	219

Precision?

0.02702702702702703

Recall?

1.0

Freqs

test

number	freq
0	219
1	37

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

68.0ms

512×

valid

Compiler

Compiled 230 to 76 computations (67% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-div: 15.0ms (38% of total)

ival-mult: 14.0ms (35.5% of total)

ival-sqrt: 4.0ms (10.1% of total)

ival-acos: 4.0ms (10.1% of total)

exact: 1.0ms (2.5% of total)

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

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB 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
▶	98.1%	(.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))))

Status

Accuracy

Program

▶

98.1%

(*.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))))

Compiler

Compiled 23 to 18 computations (21.7% saved)

simplify86.0ms (0.3%)

Memory

2.0MiB live, 76.7MiB 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×	`lower-*.f32`
2 034×	`lower-*.f64`
1 368×	`associate-*r/`
1 168×	`associate-r`
1 118×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	86
0	29	86
1	49	76
2	127	68
3	394	68
4	1401	68
5	3100	68
6	3190	68
7	3241	68
8	3241	68
9	3241	68
10	3840	68
11	3879	68
12	3879	68
0	3879	68

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize53.0ms (0.2%)

Memory

-2.7MiB live, 117.2MiB 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	94.1%	(.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	92.1%	(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))

Samples

36.0ms

256×

valid

Compiler

Compiled 92 to 20 computations (78.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-div: 9.0ms (41% of total)

ival-mult: 7.0ms (31.9% of total)

ival-acos: 3.0ms (13.7% of total)

ival-sqrt: 2.0ms (9.1% of total)

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

exact: 0.0ms (0% of total)

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

series38.0ms (0.1%)

Memory

-1.6MiB live, 74.6MiB allocated

Counts

6 → 180

Calls

Call 1

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

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
5.0ms	z	@	-inf	(* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))
3.0ms	x	@	0	(/ x (* y 27))
3.0ms	z	@	0	(/ (* 3 (/ x (* y 27))) (* z 2))
2.0ms	x	@	inf	(* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))))
2.0ms	t	@	-inf	(* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))

rewrite318.0ms (0.9%)

Memory

-27.4MiB live, 392.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 832×	`lower-*.f32`
5 822×	`lower-*.f64`
3 672×	`lower-/.f32`
3 668×	`lower-/.f64`
1 650×	`lower-pow.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	55
0	29	55
1	69	47
2	387	41
3	3742	41
0	8214	41

Stop Event

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

Counts

6 → 588

Calls

Call 1

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

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

simplify208.0ms (0.6%)

Memory

25.2MiB live, 300.1MiB allocated

Algorithm

1×	egg-herbie

Rules

4 158×	`lower-*.f64`
4 158×	`lower-*.f32`
3 468×	`lower-/.f32`
3 468×	`lower-/.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))

eval125.0ms (0.4%)

Memory: -18.9MiB live, 225.5MiB allocated
Compiler: Compiled 14 488 to 3 054 computations (78.9% saved)

prune120.0ms (0.4%)

Memory

8.6MiB live, 245.8MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	764	4	768
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	765	4	769

Accuracy

98.5%

Counts

769 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.7%	(/.f64 (.f64 (-.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 x (sqrt.f64 t))) (.f64 y (.f64 z #s(literal 54 binary64))))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 (asin.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 x (sqrt.f64 t))) (.f64 y (.f64 z #s(literal 54 binary64))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 x (sqrt.f64 t))) (.f64 y (.f64 z #s(literal 54 binary64)))))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
▶	97.9%	(.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))))
▶	97.7%	(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))))
▶	98.1%	(.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 122 to 73 computations (40.2% saved)

simplify7.4s (22.2%)

Memory

-2.4MiB live, 395.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 x (sqrt.f64 t))) (.f64 y (*.f64 z #s(literal 54 binary64))))) #s(literal 3 binary64)))
✓	cost-diff	0	(/.f64 (.f64 (-.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 x (sqrt.f64 t))) (.f64 y (.f64 z #s(literal 54 binary64))))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 (asin.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 x (sqrt.f64 t))) (.f64 y (.f64 z #s(literal 54 binary64))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 x (sqrt.f64 t))) (.f64 y (.f64 z #s(literal 54 binary64)))))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
✓	cost-diff	128	(.f64 (-.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 x (sqrt.f64 t))) (.f64 y (.f64 z #s(literal 54 binary64))))) #s(literal 3 binary64))) #s(literal 1/3 binary64))
✓	cost-diff	320	(/.f64 (.f64 #s(literal 3 binary64) (.f64 x (sqrt.f64 t))) (.f64 y (.f64 z #s(literal 54 binary64))))
✓	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))
✓	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	(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)))

Rules

3 940×	`lower-*.f32`
3 906×	`lower-*.f64`
3 336×	`lower-fma.f32`
3 332×	`lower-fma.f64`
2 270×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	450
0	92	470
1	168	424
2	419	400
3	1206	400
4	2804	400
5	3331	400
6	3782	400
7	4348	400
8	5631	400
9	7062	400
0	8516	398

Stop Event

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

Calls

Call 1

Inputs
(.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))))
#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)))
(.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))
#s(literal 3 binary64)
(/.f64 x (*.f64 y #s(literal 27 binary64)))
x
(*.f64 y #s(literal 27 binary64))
y
#s(literal 27 binary64)
(*.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
(sqrt.f64 t)
t
(.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 1/3 binary64)
(acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z)))
(/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z))
(.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t)))
#s(literal 1/18 binary64)
(*.f64 x (sqrt.f64 t))
x
(sqrt.f64 t)
t
(*.f64 y z)
y
z
(.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))))
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#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)))
(.f64 (.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) (sqrt.f64 t))
(.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))
#s(literal 1/18 binary64)
(/.f64 x (*.f64 y z))
x
(*.f64 y z)
y
z
(sqrt.f64 t)
t
(/.f64 (.f64 (-.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 x (sqrt.f64 t))) (.f64 y (.f64 z #s(literal 54 binary64))))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 (asin.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 x (sqrt.f64 t))) (.f64 y (.f64 z #s(literal 54 binary64))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 x (sqrt.f64 t))) (.f64 y (.f64 z #s(literal 54 binary64)))))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
(.f64 (-.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 x (sqrt.f64 t))) (.f64 y (.f64 z #s(literal 54 binary64))))) #s(literal 3 binary64))) #s(literal 1/3 binary64))
(-.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 x (sqrt.f64 t))) (.f64 y (*.f64 z #s(literal 54 binary64))))) #s(literal 3 binary64)))
(.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64))
(.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))
(PI.f64)
(*.f64 (PI.f64) (PI.f64))
#s(literal 1/8 binary64)
(pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 x (sqrt.f64 t))) (.f64 y (.f64 z #s(literal 54 binary64))))) #s(literal 3 binary64))
(asin.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 x (sqrt.f64 t))) (.f64 y (.f64 z #s(literal 54 binary64)))))
(/.f64 (.f64 #s(literal 3 binary64) (.f64 x (sqrt.f64 t))) (.f64 y (.f64 z #s(literal 54 binary64))))
(.f64 #s(literal 3 binary64) (.f64 x (sqrt.f64 t)))
#s(literal 3 binary64)
(*.f64 x (sqrt.f64 t))
x
(sqrt.f64 t)
t
(.f64 y (.f64 z #s(literal 54 binary64)))
y
(*.f64 z #s(literal 54 binary64))
z
#s(literal 54 binary64)
#s(literal 1/3 binary64)
(fma.f64 (asin.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 x (sqrt.f64 t))) (.f64 y (.f64 z #s(literal 54 binary64))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 x (sqrt.f64 t))) (.f64 y (.f64 z #s(literal 54 binary64)))))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 x (sqrt.f64 t))) (.f64 y (.f64 z #s(literal 54 binary64))))))
#s(literal 1/2 binary64)
(.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)

Outputs
(.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))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 (sqrt.f64 t) (.f64 x #s(literal 1/18 binary64))) (.f64 y z))))
#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)))
(acos.f64 (/.f64 (.f64 (sqrt.f64 t) (.f64 x #s(literal 1/18 binary64))) (*.f64 y z)))
(.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
(/.f64 (.f64 (sqrt.f64 t) (.f64 x #s(literal 1/18 binary64))) (*.f64 y z))
(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
(/.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 y z))
(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
#s(literal 3 binary64)
(/.f64 x (*.f64 y #s(literal 27 binary64)))
x
(*.f64 y #s(literal 27 binary64))
y
#s(literal 27 binary64)
(*.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
(sqrt.f64 t)
t
(.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 (sqrt.f64 t) (.f64 x #s(literal 1/18 binary64))) (.f64 y z))))
#s(literal 1/3 binary64)
(acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z)))
(acos.f64 (/.f64 (.f64 (sqrt.f64 t) (.f64 x #s(literal 1/18 binary64))) (*.f64 y z)))
(/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z))
(/.f64 (.f64 (sqrt.f64 t) (.f64 x #s(literal 1/18 binary64))) (*.f64 y z))
(.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t)))
(.f64 (sqrt.f64 t) (.f64 x #s(literal 1/18 binary64)))
#s(literal 1/18 binary64)
(*.f64 x (sqrt.f64 t))
x
(sqrt.f64 t)
t
(*.f64 y z)
y
z
(.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))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 (sqrt.f64 t) (.f64 x #s(literal 1/18 binary64))) (.f64 y z))))
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(literal 1/3 binary64)
#s(literal 1 binary64)
#s(literal 3 binary64)
(acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) (sqrt.f64 t)))
(acos.f64 (/.f64 (.f64 (sqrt.f64 t) (.f64 x #s(literal 1/18 binary64))) (*.f64 y z)))
(.f64 (.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) (sqrt.f64 t))
(/.f64 (.f64 (sqrt.f64 t) (.f64 x #s(literal 1/18 binary64))) (*.f64 y z))
(.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))
(/.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 y z))
#s(literal 1/18 binary64)
(/.f64 x (*.f64 y z))
x
(*.f64 y z)
y
z
(sqrt.f64 t)
t
(/.f64 (.f64 (-.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 x (sqrt.f64 t))) (.f64 y (.f64 z #s(literal 54 binary64))))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 (asin.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 x (sqrt.f64 t))) (.f64 y (.f64 z #s(literal 54 binary64))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 x (sqrt.f64 t))) (.f64 y (.f64 z #s(literal 54 binary64)))))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
(/.f64 (fma.f64 (pow.f64 (asin.f64 (/.f64 (.f64 (sqrt.f64 t) (.f64 x #s(literal 1/18 binary64))) (.f64 y z))) #s(literal 3 binary64)) #s(literal -1/3 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) #s(literal 1/24 binary64)))) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 (/.f64 (.f64 (sqrt.f64 t) (.f64 x #s(literal 1/18 binary64))) (.f64 y z))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 (sqrt.f64 t) (.f64 x #s(literal 1/18 binary64))) (.f64 y z)))))))
(.f64 (-.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 x (sqrt.f64 t))) (.f64 y (.f64 z #s(literal 54 binary64))))) #s(literal 3 binary64))) #s(literal 1/3 binary64))
(fma.f64 (pow.f64 (asin.f64 (/.f64 (.f64 (sqrt.f64 t) (.f64 x #s(literal 1/18 binary64))) (.f64 y z))) #s(literal 3 binary64)) #s(literal -1/3 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) #s(literal 1/24 binary64))))
(-.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 x (sqrt.f64 t))) (.f64 y (*.f64 z #s(literal 54 binary64))))) #s(literal 3 binary64)))
(-.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64))) (pow.f64 (asin.f64 (/.f64 (.f64 (sqrt.f64 t) (.f64 x #s(literal 1/18 binary64))) (.f64 y z))) #s(literal 3 binary64)))
(.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64))
(.f64 (PI.f64) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64)))
(.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))
(PI.f64)
(*.f64 (PI.f64) (PI.f64))
#s(literal 1/8 binary64)
(pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 x (sqrt.f64 t))) (.f64 y (.f64 z #s(literal 54 binary64))))) #s(literal 3 binary64))
(pow.f64 (asin.f64 (/.f64 (.f64 (sqrt.f64 t) (.f64 x #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 3 binary64))
(asin.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 x (sqrt.f64 t))) (.f64 y (.f64 z #s(literal 54 binary64)))))
(asin.f64 (/.f64 (.f64 (sqrt.f64 t) (.f64 x #s(literal 1/18 binary64))) (*.f64 y z)))
(/.f64 (.f64 #s(literal 3 binary64) (.f64 x (sqrt.f64 t))) (.f64 y (.f64 z #s(literal 54 binary64))))
(/.f64 (.f64 (sqrt.f64 t) (.f64 x #s(literal 1/18 binary64))) (*.f64 y z))
(.f64 #s(literal 3 binary64) (.f64 x (sqrt.f64 t)))
(.f64 x (.f64 #s(literal 3 binary64) (sqrt.f64 t)))
#s(literal 3 binary64)
(*.f64 x (sqrt.f64 t))
x
(sqrt.f64 t)
t
(.f64 y (.f64 z #s(literal 54 binary64)))
y
(*.f64 z #s(literal 54 binary64))
z
#s(literal 54 binary64)
#s(literal 1/3 binary64)
(fma.f64 (asin.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 x (sqrt.f64 t))) (.f64 y (.f64 z #s(literal 54 binary64))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 x (sqrt.f64 t))) (.f64 y (.f64 z #s(literal 54 binary64)))))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))
(fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 (/.f64 (.f64 (sqrt.f64 t) (.f64 x #s(literal 1/18 binary64))) (.f64 y z))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 (sqrt.f64 t) (.f64 x #s(literal 1/18 binary64))) (.f64 y z))))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 x (sqrt.f64 t))) (.f64 y (.f64 z #s(literal 54 binary64))))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 (sqrt.f64 t) (.f64 x #s(literal 1/18 binary64))) (*.f64 y z))))
#s(literal 1/2 binary64)
(.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)

localize202.0ms (0.6%)

Memory

5.9MiB live, 280.2MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.0%	(.f64 y (.f64 z #s(literal 54 binary64)))
✓	accuracy	98.4%	(.f64 (-.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 x (sqrt.f64 t))) (.f64 y (.f64 z #s(literal 54 binary64))))) #s(literal 3 binary64))) #s(literal 1/3 binary64))
✓	accuracy	98.4%	(.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))
✓	accuracy	87.9%	(/.f64 (.f64 #s(literal 3 binary64) (.f64 x (sqrt.f64 t))) (.f64 y (.f64 z #s(literal 54 binary64))))
✓	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	94.1%	(.f64 (.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) (sqrt.f64 t))
✓	accuracy	89.6%	(/.f64 x (*.f64 y z))
✓	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	87.8%	(/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z))
✓	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	94.1%	(.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	92.1%	(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))

Samples

135.0ms

256×

valid

Compiler

Compiled 461 to 55 computations (88.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 102.0ms

ival-mult: 63.0ms (61.5% of total)

ival-div: 12.0ms (11.7% of total)

const: 7.0ms (6.8% of total)

ival-acos: 6.0ms (5.9% of total)

ival-pow: 4.0ms (3.9% of total)

ival-asin: 3.0ms (2.9% of total)

ival-add: 2.0ms (2% of total)

ival-sqrt: 2.0ms (2% of total)

ival-pi: 1.0ms (1% of total)

ival-sub: 1.0ms (1% of total)

exact: 1.0ms (1% of total)

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

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

series203.0ms (0.6%)

Memory

-6.5MiB live, 280.2MiB allocated

Counts

23 → 852

Calls

Call 1

Inputs
#<alt (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))>
#<alt (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))>
#<alt (.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))))>
#<alt (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)))>
#<alt (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))))>
#<alt (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z)))>
#<alt (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t)))>
#<alt (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))>
#<alt (.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))))>
#<alt (acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) (sqrt.f64 t)))>
#<alt (.f64 (.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) (sqrt.f64 t))>
#<alt (/.f64 (.f64 #s(literal 3 binary64) (.f64 x (sqrt.f64 t))) (.f64 y (.f64 z #s(literal 54 binary64))))>
#<alt (.f64 (-.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 x (sqrt.f64 t))) (.f64 y (.f64 z #s(literal 54 binary64))))) #s(literal 3 binary64))) #s(literal 1/3 binary64))>
#<alt (/.f64 (.f64 (-.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 x (sqrt.f64 t))) (.f64 y (.f64 z #s(literal 54 binary64))))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 (asin.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 x (sqrt.f64 t))) (.f64 y (.f64 z #s(literal 54 binary64))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 x (sqrt.f64 t))) (.f64 y (.f64 z #s(literal 54 binary64)))))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))>
#<alt (-.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 x (sqrt.f64 t))) (.f64 y (*.f64 z #s(literal 54 binary64))))) #s(literal 3 binary64)))>
#<alt (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t))>
#<alt (/.f64 x (*.f64 y #s(literal 27 binary64)))>
#<alt (*.f64 x (sqrt.f64 t))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))>
#<alt (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))>
#<alt (.f64 y (.f64 z #s(literal 54 binary64)))>

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))>
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#<alt (* 54 (* y z))>
#<alt (* 54 (* y z))>
#<alt (* 54 (* y z))>
#<alt (* 54 (* y z))>
#<alt (* 54 (* y z))>
#<alt (* 54 (* y z))>
#<alt (* 54 (* y z))>
#<alt (* 54 (* y z))>
#<alt (* 54 (* y z))>
#<alt (* 54 (* y z))>
#<alt (* 54 (* y z))>
#<alt (* 54 (* y z))>
#<alt (* 54 (* y z))>
#<alt (* 54 (* y z))>

Calls

213 calls:

Time	Variable		Point	Expression
43.0ms	y	@	-inf	(* y (* z 54))
19.0ms	x	@	0	(* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))
10.0ms	x	@	inf	(/ (* (- (* (* (PI) (* (PI) (PI))) 1/8) (pow (asin (/ (* 3 (* x (sqrt t))) (* y (* z 54)))) 3)) 1/3) (+ (* (asin (/ (* 3 (* x (sqrt t))) (* y (* z 54)))) (+ (* (PI) 1/2) (asin (/ (* 3 (* x (sqrt t))) (* y (* z 54)))))) (* (* (PI) (PI)) 1/4)))
5.0ms	t	@	inf	(* (- (* (* (PI) (* (PI) (PI))) 1/8) (pow (asin (/ (* 3 (* x (sqrt t))) (* y (* z 54)))) 3)) 1/3)
3.0ms	y	@	-inf	(/ (* (- (* (* (PI) (* (PI) (PI))) 1/8) (pow (asin (/ (* 3 (* x (sqrt t))) (* y (* z 54)))) 3)) 1/3) (+ (* (asin (/ (* 3 (* x (sqrt t))) (* y (* z 54)))) (+ (* (PI) 1/2) (asin (/ (* 3 (* x (sqrt t))) (* y (* z 54)))))) (* (* (PI) (PI)) 1/4)))

rewrite459.0ms (1.4%)

Memory

11.4MiB live, 687.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 988×	`lower-*.f32`
4 954×	`lower-*.f64`
4 934×	`lower-fma.f32`
4 930×	`lower-fma.f64`
4 430×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	51	291
0	92	255
1	271	231
2	1806	213
0	8266	213

Stop Event

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

Counts

23 → 2 010

Calls

Call 1

Inputs
(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))
(.f64 #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))))
(acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))))
(acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z)))
(/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z))
(.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t)))
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
(.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))))
(acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) (sqrt.f64 t)))
(.f64 (.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) (sqrt.f64 t))
(/.f64 (.f64 #s(literal 3 binary64) (.f64 x (sqrt.f64 t))) (.f64 y (.f64 z #s(literal 54 binary64))))
(.f64 (-.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 x (sqrt.f64 t))) (.f64 y (.f64 z #s(literal 54 binary64))))) #s(literal 3 binary64))) #s(literal 1/3 binary64))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 x (sqrt.f64 t))) (.f64 y (.f64 z #s(literal 54 binary64))))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 (asin.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 x (sqrt.f64 t))) (.f64 y (.f64 z #s(literal 54 binary64))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 x (sqrt.f64 t))) (.f64 y (.f64 z #s(literal 54 binary64)))))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
(-.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 x (sqrt.f64 t))) (.f64 y (*.f64 z #s(literal 54 binary64))))) #s(literal 3 binary64)))
(.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
(/.f64 x (*.f64 y #s(literal 27 binary64)))
(*.f64 x (sqrt.f64 t))
(/.f64 x (*.f64 y z))
(.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))
(.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))
(.f64 y (.f64 z #s(literal 54 binary64)))

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 y z) (*.f64 x #s(literal 1/18 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (.f64 #s(literal -1/18 binary64) (/.f64 x (.f64 y z))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 z #s(literal -2 binary64))) (.f64 #s(literal -1/18 binary64) (/.f64 x (*.f64 y z))))
(neg.f64 (.f64 #s(literal -1/18 binary64) (/.f64 x (.f64 y z))))
(/.f64 #s(literal 3 binary64) (.f64 (/.f64 (.f64 y z) x) #s(literal 54 binary64)))
(/.f64 (.f64 (/.f64 x y) #s(literal 1/9 binary64)) (.f64 z #s(literal 2 binary64)))
(/.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 y z) x))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 y z) (.f64 x #s(literal 1/18 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (.f64 y z) (.f64 x #s(literal 1/18 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 y z) x) #s(literal 1/18 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 (*.f64 x #s(literal 1/18 binary64)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 (*.f64 x #s(literal 1/18 binary64)) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 y (neg.f64 z)) (.f64 #s(literal 1/18 binary64) (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 #s(literal 1/18 binary64) (/.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 y (neg.f64 z)) (.f64 (neg.f64 x) #s(literal 1/18 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (/.f64 x y) #s(literal 1/18 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 z #s(literal 2 binary64)) (.f64 y #s(literal 27 binary64))) (.f64 #s(literal 3 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 y #s(literal 27 binary64)) (.f64 z #s(literal 2 binary64))) (.f64 #s(literal 3 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 z (.f64 (.f64 (/.f64 x y) #s(literal 1/9 binary64)) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 y #s(literal 27 binary64)) (/.f64 (.f64 #s(literal 3 binary64) x) (*.f64 z #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 z (.f64 #s(literal 3 binary64) (.f64 (/.f64 x y) #s(literal 1/54 binary64)))))
(/.f64 (.f64 (/.f64 x y) #s(literal -1/9 binary64)) (.f64 z #s(literal -2 binary64)))
(/.f64 (/.f64 #s(literal 3 binary64) z) (.f64 #s(literal 2 binary64) (/.f64 (.f64 y #s(literal 27 binary64)) 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 #s(literal 9 binary64) (/.f64 y x)))
(/.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 #s(literal 1/18 binary64)) (.f64 y z))
(/.f64 (/.f64 (.f64 #s(literal 3 binary64) x) (.f64 z (*.f64 y #s(literal 27 binary64)))) #s(literal 2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 y z) (.f64 x #s(literal 1/18 binary64)))))
(/.f64 #s(literal -1/18 binary64) (neg.f64 (/.f64 (*.f64 y z) x)))
(/.f64 (neg.f64 (/.f64 (.f64 #s(literal 3 binary64) x) (.f64 z (*.f64 y #s(literal 27 binary64))))) #s(literal -2 binary64))
(/.f64 (neg.f64 (.f64 x #s(literal 1/18 binary64))) (.f64 y (neg.f64 z)))
(/.f64 (neg.f64 (.f64 #s(literal 3 binary64) x)) (neg.f64 (.f64 (.f64 z #s(literal 2 binary64)) (.f64 y #s(literal 27 binary64)))))
(/.f64 (neg.f64 (.f64 #s(literal 3 binary64) x)) (neg.f64 (.f64 (.f64 y #s(literal 27 binary64)) (.f64 z #s(literal 2 binary64)))))
(/.f64 (.f64 (.f64 (/.f64 x y) #s(literal 1/9 binary64)) #s(literal 1/2 binary64)) z)
(/.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 y x))
(/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) y) z)
(/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) y)
(/.f64 (.f64 #s(literal 1/18 binary64) (neg.f64 x)) (.f64 y (neg.f64 z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x y)) z)
(/.f64 (/.f64 (.f64 #s(literal 3 binary64) x) (.f64 z #s(literal 2 binary64))) (*.f64 y #s(literal 27 binary64)))
(/.f64 (.f64 #s(literal 3 binary64) (.f64 (/.f64 x y) #s(literal 1/54 binary64))) z)
(/.f64 (.f64 (neg.f64 x) #s(literal 1/18 binary64)) (.f64 y (neg.f64 z)))
(/.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) z)
(/.f64 (neg.f64 (neg.f64 (.f64 x #s(literal 1/18 binary64)))) (.f64 y z))
(/.f64 (neg.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) y)) (neg.f64 z))
(/.f64 (neg.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z)) (neg.f64 y))
(/.f64 (neg.f64 (.f64 #s(literal 1/18 binary64) (neg.f64 x))) (.f64 y z))
(/.f64 (neg.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x y))) (neg.f64 z))
(/.f64 (neg.f64 (.f64 (neg.f64 x) #s(literal 1/18 binary64))) (.f64 y z))
(/.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64))) (neg.f64 z))
(/.f64 (neg.f64 (neg.f64 (/.f64 (.f64 #s(literal 3 binary64) x) (.f64 z (*.f64 y #s(literal 27 binary64)))))) #s(literal 2 binary64))
(/.f64 (neg.f64 (.f64 (.f64 (/.f64 x y) #s(literal 1/9 binary64)) #s(literal 1/2 binary64))) (neg.f64 z))
(/.f64 (neg.f64 (/.f64 (.f64 #s(literal 3 binary64) x) (.f64 z #s(literal 2 binary64)))) (*.f64 y #s(literal -27 binary64)))
(/.f64 (neg.f64 (.f64 #s(literal 3 binary64) (.f64 (/.f64 x y) #s(literal 1/54 binary64)))) (neg.f64 z))
(pow.f64 (/.f64 (.f64 y z) (.f64 x #s(literal 1/18 binary64))) #s(literal -1 binary64))
(.f64 #s(literal 3 binary64) (.f64 (/.f64 x (*.f64 y z)) #s(literal 1/54 binary64)))
(.f64 x (.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 1/18 binary64)))
(.f64 (/.f64 x (.f64 y #s(literal 27 binary64))) (/.f64 #s(literal 3 binary64) (*.f64 z #s(literal 2 binary64))))
(.f64 (.f64 (/.f64 x y) #s(literal 1/9 binary64)) (/.f64 #s(literal 1/2 binary64) z))
(.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))
(.f64 (/.f64 x (.f64 y z)) #s(literal 1/18 binary64))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 3 binary64) x) (.f64 z (.f64 y #s(literal 27 binary64)))))
(.f64 (.f64 (/.f64 x y) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 z #s(literal -2 binary64))))
(*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 x z))
(.f64 (/.f64 #s(literal 3 binary64) z) (.f64 (/.f64 x y) #s(literal 1/54 binary64)))
(.f64 (.f64 (/.f64 x y) #s(literal 1/54 binary64)) (/.f64 #s(literal 3 binary64) z))
(.f64 (/.f64 #s(literal 1/2 binary64) z) (.f64 (/.f64 x y) #s(literal 1/9 binary64)))
(.f64 #s(literal 3/2 binary64) (/.f64 (/.f64 x (.f64 y #s(literal 27 binary64))) z))
(.f64 #s(literal 3/2 binary64) (pow.f64 (.f64 z (/.f64 (*.f64 y #s(literal 27 binary64)) x)) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 3 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 (.f64 z #s(literal 2 binary64)) (*.f64 y #s(literal 27 binary64)))))
(.f64 (.f64 #s(literal 3 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y #s(literal 27 binary64)) (*.f64 z #s(literal 2 binary64)))))
(.f64 (.f64 x #s(literal 1/18 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y z)))
(*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z))
(.f64 (/.f64 (.f64 #s(literal 3 binary64) x) (.f64 z (.f64 y #s(literal 27 binary64)))) #s(literal 1/2 binary64))
(.f64 (.f64 (/.f64 x (*.f64 y z)) #s(literal 1/54 binary64)) #s(literal 3 binary64))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -1/18 binary64) (/.f64 x (*.f64 y z))))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (.f64 y z) (*.f64 x #s(literal 1/18 binary64))))))
(.f64 #s(literal -1/18 binary64) (/.f64 x (.f64 y (neg.f64 z))))
(.f64 (neg.f64 (/.f64 (.f64 #s(literal 3 binary64) x) (.f64 z (.f64 y #s(literal 27 binary64))))) #s(literal -1/2 binary64))
(.f64 #s(literal -3 binary64) (/.f64 (.f64 #s(literal -1/27 binary64) (/.f64 x y)) (*.f64 z #s(literal 2 binary64))))
(.f64 (neg.f64 (.f64 x #s(literal 1/18 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 y z)))
(*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))
(.f64 (/.f64 x z) (/.f64 (.f64 (/.f64 #s(literal 1/27 binary64) y) #s(literal 3 binary64)) #s(literal 2 binary64)))
(.f64 (/.f64 (/.f64 x (.f64 y #s(literal 27 binary64))) z) #s(literal 3/2 binary64))
(.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 #s(literal 1/27 binary64) y) #s(literal 3 binary64)) z))
(.f64 (/.f64 (.f64 #s(literal 3 binary64) x) y) (/.f64 (/.f64 #s(literal 1/2 binary64) z) #s(literal 27 binary64)))
(.f64 (.f64 (*.f64 (/.f64 x y) #s(literal 1/9 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 x y))
(.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) y) (/.f64 #s(literal 1 binary64) z))
(.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) z) (/.f64 #s(literal 1 binary64) y))
(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 (*.f64 (/.f64 x y) #s(literal 1/9 binary64)) #s(literal 1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (.f64 #s(literal 2 binary64) (*.f64 #s(literal 9 binary64) (/.f64 y x))) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1/18 binary64) (neg.f64 x)) (/.f64 #s(literal -1 binary64) (*.f64 y z)))
(.f64 (.f64 #s(literal 1/18 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) z))
(.f64 (/.f64 (.f64 #s(literal 3 binary64) x) (*.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1/27 binary64) y))
(.f64 (.f64 #s(literal 3 binary64) (*.f64 (/.f64 x y) #s(literal 1/54 binary64))) (/.f64 #s(literal 1 binary64) z))
(.f64 (.f64 (neg.f64 x) #s(literal 1/18 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 y z)))
(.f64 (.f64 (/.f64 x y) #s(literal 1/18 binary64)) (/.f64 #s(literal 1 binary64) z))
(.f64 (.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 1/27 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) z) y))
(.f64 (/.f64 #s(literal 3 binary64) (.f64 z #s(literal 2 binary64))) (/.f64 x (*.f64 y #s(literal 27 binary64))))
(.f64 (pow.f64 (.f64 z (/.f64 (*.f64 y #s(literal 27 binary64)) x)) #s(literal -1 binary64)) #s(literal 3/2 binary64))
(.f64 (pow.f64 (.f64 #s(literal 2/3 binary64) (/.f64 z x)) #s(literal -1 binary64)) (/.f64 #s(literal 1/27 binary64) y))
(.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (/.f64 x y) #s(literal 1/9 binary64)) (neg.f64 z)))
(.f64 (/.f64 (.f64 #s(literal 3 binary64) x) z) (*.f64 (/.f64 #s(literal 1/27 binary64) y) #s(literal 1/2 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (.f64 (/.f64 x y) #s(literal 1/9 binary64)) #s(literal -2 binary64)))
(.f64 (/.f64 #s(literal -3 binary64) z) (/.f64 (/.f64 x (.f64 y #s(literal 27 binary64))) #s(literal -2 binary64)))
(*.f64 (/.f64 #s(literal 1/18 binary64) (neg.f64 y)) (/.f64 (neg.f64 x) z))
(*.f64 (/.f64 #s(literal 1/18 binary64) (neg.f64 z)) (/.f64 (neg.f64 x) y))
(.f64 (/.f64 (/.f64 #s(literal 3 binary64) y) z) (/.f64 (.f64 x #s(literal 1/27 binary64)) #s(literal 2 binary64)))
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal 1/18 binary64) (neg.f64 z)))
(*.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal 1/18 binary64) (neg.f64 y)))
(.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal 1/18 binary64) (.f64 y z)))
(.f64 (/.f64 (/.f64 #s(literal 3 binary64) y) #s(literal 2 binary64)) (/.f64 (.f64 x #s(literal 1/27 binary64)) z))
(.f64 (/.f64 (.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1/27 binary64) y) z))
(*.f64 (/.f64 #s(literal 1/9 binary64) z) (/.f64 (/.f64 x y) #s(literal 2 binary64)))
(.f64 #s(literal -3/2 binary64) (/.f64 (.f64 #s(literal -1/27 binary64) (/.f64 x y)) z))
(.f64 #s(literal -3/2 binary64) (/.f64 (/.f64 x (.f64 y #s(literal 27 binary64))) (neg.f64 z)))
(.f64 (/.f64 (.f64 #s(literal -1/27 binary64) (/.f64 x y)) z) #s(literal -3/2 binary64))
(.f64 (/.f64 #s(literal 3 binary64) (neg.f64 z)) (/.f64 (.f64 #s(literal -1/27 binary64) (/.f64 x y)) #s(literal 2 binary64)))
(.f64 (/.f64 (.f64 #s(literal -1/27 binary64) (/.f64 x y)) #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) (neg.f64 z)))
(.f64 (/.f64 (/.f64 x (.f64 y #s(literal 27 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -3 binary64) (*.f64 z #s(literal 2 binary64))))
(.f64 (/.f64 (/.f64 x (.f64 y #s(literal 27 binary64))) #s(literal -2 binary64)) (/.f64 #s(literal -3 binary64) z))
(.f64 (/.f64 (/.f64 x (.f64 y #s(literal 27 binary64))) (neg.f64 z)) #s(literal -3/2 binary64))
(.f64 (/.f64 (.f64 #s(literal -1/27 binary64) (/.f64 x y)) #s(literal -1 binary64)) (/.f64 #s(literal 3 binary64) (*.f64 z #s(literal 2 binary64))))
(.f64 (/.f64 x (.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 3 binary64) (*.f64 y #s(literal 27 binary64))))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 x y) #s(literal -1/9 binary64)))
(neg.f64 (*.f64 (/.f64 x y) #s(literal -1/9 binary64)))
(/.f64 #s(literal 3 binary64) (/.f64 (*.f64 y #s(literal 27 binary64)) x))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) (/.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 y #s(literal 27 binary64)) x) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 9 binary64) (/.f64 y x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 27 binary64) (/.f64 (*.f64 #s(literal 3 binary64) x) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 y #s(literal -27 binary64)) (.f64 #s(literal 3 binary64) (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 27 binary64) (*.f64 #s(literal 3 binary64) (/.f64 x y))))
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(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (.f64 y z) (.f64 x #s(literal 1/18 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 y z) x) #s(literal 1/18 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 (*.f64 x #s(literal 1/18 binary64)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 (*.f64 x #s(literal 1/18 binary64)) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 y (neg.f64 z)) (.f64 #s(literal 1/18 binary64) (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 #s(literal 1/18 binary64) (/.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 y (neg.f64 z)) (.f64 (neg.f64 x) #s(literal 1/18 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (/.f64 x y) #s(literal 1/18 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 z #s(literal 2 binary64)) (.f64 y #s(literal 27 binary64))) (.f64 #s(literal 3 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 y #s(literal 27 binary64)) (.f64 z #s(literal 2 binary64))) (.f64 #s(literal 3 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 z (.f64 (.f64 (/.f64 x y) #s(literal 1/9 binary64)) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 y #s(literal 27 binary64)) (/.f64 (.f64 #s(literal 3 binary64) x) (*.f64 z #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 z (.f64 #s(literal 3 binary64) (.f64 (/.f64 x y) #s(literal 1/54 binary64)))))
(/.f64 (.f64 (/.f64 x y) #s(literal -1/9 binary64)) (.f64 z #s(literal -2 binary64)))
(/.f64 (/.f64 #s(literal 3 binary64) z) (.f64 #s(literal 2 binary64) (/.f64 (.f64 y #s(literal 27 binary64)) 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 #s(literal 9 binary64) (/.f64 y x)))
(/.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 #s(literal 1/18 binary64)) (.f64 y z))
(/.f64 (/.f64 (.f64 #s(literal 3 binary64) x) (.f64 z (*.f64 y #s(literal 27 binary64)))) #s(literal 2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 y z) (.f64 x #s(literal 1/18 binary64)))))
(/.f64 #s(literal -1/18 binary64) (neg.f64 (/.f64 (*.f64 y z) x)))
(/.f64 (neg.f64 (/.f64 (.f64 #s(literal 3 binary64) x) (.f64 z (*.f64 y #s(literal 27 binary64))))) #s(literal -2 binary64))
(/.f64 (neg.f64 (.f64 x #s(literal 1/18 binary64))) (.f64 y (neg.f64 z)))
(/.f64 (neg.f64 (.f64 #s(literal 3 binary64) x)) (neg.f64 (.f64 (.f64 z #s(literal 2 binary64)) (.f64 y #s(literal 27 binary64)))))
(/.f64 (neg.f64 (.f64 #s(literal 3 binary64) x)) (neg.f64 (.f64 (.f64 y #s(literal 27 binary64)) (.f64 z #s(literal 2 binary64)))))
(/.f64 (.f64 (.f64 (/.f64 x y) #s(literal 1/9 binary64)) #s(literal 1/2 binary64)) z)
(/.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 y x))
(/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) y) z)
(/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) y)
(/.f64 (.f64 #s(literal 1/18 binary64) (neg.f64 x)) (.f64 y (neg.f64 z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x y)) z)
(/.f64 (/.f64 (.f64 #s(literal 3 binary64) x) (.f64 z #s(literal 2 binary64))) (*.f64 y #s(literal 27 binary64)))
(/.f64 (.f64 #s(literal 3 binary64) (.f64 (/.f64 x y) #s(literal 1/54 binary64))) z)
(/.f64 (.f64 (neg.f64 x) #s(literal 1/18 binary64)) (.f64 y (neg.f64 z)))
(/.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) z)
(/.f64 (neg.f64 (neg.f64 (.f64 x #s(literal 1/18 binary64)))) (.f64 y z))
(/.f64 (neg.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) y)) (neg.f64 z))
(/.f64 (neg.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z)) (neg.f64 y))
(/.f64 (neg.f64 (.f64 #s(literal 1/18 binary64) (neg.f64 x))) (.f64 y z))
(/.f64 (neg.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x y))) (neg.f64 z))
(/.f64 (neg.f64 (.f64 (neg.f64 x) #s(literal 1/18 binary64))) (.f64 y z))
(/.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64))) (neg.f64 z))
(/.f64 (neg.f64 (neg.f64 (/.f64 (.f64 #s(literal 3 binary64) x) (.f64 z (*.f64 y #s(literal 27 binary64)))))) #s(literal 2 binary64))
(/.f64 (neg.f64 (.f64 (.f64 (/.f64 x y) #s(literal 1/9 binary64)) #s(literal 1/2 binary64))) (neg.f64 z))
(/.f64 (neg.f64 (/.f64 (.f64 #s(literal 3 binary64) x) (.f64 z #s(literal 2 binary64)))) (*.f64 y #s(literal -27 binary64)))
(/.f64 (neg.f64 (.f64 #s(literal 3 binary64) (.f64 (/.f64 x y) #s(literal 1/54 binary64)))) (neg.f64 z))
(pow.f64 (/.f64 (.f64 y z) (.f64 x #s(literal 1/18 binary64))) #s(literal -1 binary64))
(.f64 #s(literal 3 binary64) (.f64 (/.f64 x (*.f64 y z)) #s(literal 1/54 binary64)))
(.f64 x (.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 1/18 binary64)))
(.f64 (/.f64 x (.f64 y #s(literal 27 binary64))) (/.f64 #s(literal 3 binary64) (*.f64 z #s(literal 2 binary64))))
(.f64 (.f64 (/.f64 x y) #s(literal 1/9 binary64)) (/.f64 #s(literal 1/2 binary64) z))
(.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))
(.f64 (/.f64 x (.f64 y z)) #s(literal 1/18 binary64))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 3 binary64) x) (.f64 z (.f64 y #s(literal 27 binary64)))))
(.f64 (.f64 (/.f64 x y) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 z #s(literal -2 binary64))))
(*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 x z))
(.f64 (/.f64 #s(literal 3 binary64) z) (.f64 (/.f64 x y) #s(literal 1/54 binary64)))
(.f64 (.f64 (/.f64 x y) #s(literal 1/54 binary64)) (/.f64 #s(literal 3 binary64) z))
(.f64 (/.f64 #s(literal 1/2 binary64) z) (.f64 (/.f64 x y) #s(literal 1/9 binary64)))
(.f64 #s(literal 3/2 binary64) (/.f64 (/.f64 x (.f64 y #s(literal 27 binary64))) z))
(.f64 #s(literal 3/2 binary64) (pow.f64 (.f64 z (/.f64 (*.f64 y #s(literal 27 binary64)) x)) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 3 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 (.f64 z #s(literal 2 binary64)) (*.f64 y #s(literal 27 binary64)))))
(.f64 (.f64 #s(literal 3 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y #s(literal 27 binary64)) (*.f64 z #s(literal 2 binary64)))))
(.f64 (.f64 x #s(literal 1/18 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y z)))
(*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z))
(.f64 (/.f64 (.f64 #s(literal 3 binary64) x) (.f64 z (.f64 y #s(literal 27 binary64)))) #s(literal 1/2 binary64))
(.f64 (.f64 (/.f64 x (*.f64 y z)) #s(literal 1/54 binary64)) #s(literal 3 binary64))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -1/18 binary64) (/.f64 x (*.f64 y z))))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (.f64 y z) (*.f64 x #s(literal 1/18 binary64))))))
(.f64 #s(literal -1/18 binary64) (/.f64 x (.f64 y (neg.f64 z))))
(.f64 (neg.f64 (/.f64 (.f64 #s(literal 3 binary64) x) (.f64 z (.f64 y #s(literal 27 binary64))))) #s(literal -1/2 binary64))
(.f64 #s(literal -3 binary64) (/.f64 (.f64 #s(literal -1/27 binary64) (/.f64 x y)) (*.f64 z #s(literal 2 binary64))))
(.f64 (neg.f64 (.f64 x #s(literal 1/18 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 y z)))
(*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))
(.f64 (/.f64 x z) (/.f64 (.f64 (/.f64 #s(literal 1/27 binary64) y) #s(literal 3 binary64)) #s(literal 2 binary64)))
(.f64 (/.f64 (/.f64 x (.f64 y #s(literal 27 binary64))) z) #s(literal 3/2 binary64))
(.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 #s(literal 1/27 binary64) y) #s(literal 3 binary64)) z))
(.f64 (/.f64 (.f64 #s(literal 3 binary64) x) y) (/.f64 (/.f64 #s(literal 1/2 binary64) z) #s(literal 27 binary64)))
(.f64 (.f64 (*.f64 (/.f64 x y) #s(literal 1/9 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 x y))
(.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) y) (/.f64 #s(literal 1 binary64) z))
(.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) z) (/.f64 #s(literal 1 binary64) y))
(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 (*.f64 (/.f64 x y) #s(literal 1/9 binary64)) #s(literal 1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (.f64 #s(literal 2 binary64) (*.f64 #s(literal 9 binary64) (/.f64 y x))) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1/18 binary64) (neg.f64 x)) (/.f64 #s(literal -1 binary64) (*.f64 y z)))
(.f64 (.f64 #s(literal 1/18 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) z))
(.f64 (/.f64 (.f64 #s(literal 3 binary64) x) (*.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1/27 binary64) y))
(.f64 (.f64 #s(literal 3 binary64) (*.f64 (/.f64 x y) #s(literal 1/54 binary64))) (/.f64 #s(literal 1 binary64) z))
(.f64 (.f64 (neg.f64 x) #s(literal 1/18 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 y z)))
(.f64 (.f64 (/.f64 x y) #s(literal 1/18 binary64)) (/.f64 #s(literal 1 binary64) z))
(.f64 (.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 1/27 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) z) y))
(.f64 (/.f64 #s(literal 3 binary64) (.f64 z #s(literal 2 binary64))) (/.f64 x (*.f64 y #s(literal 27 binary64))))
(.f64 (pow.f64 (.f64 z (/.f64 (*.f64 y #s(literal 27 binary64)) x)) #s(literal -1 binary64)) #s(literal 3/2 binary64))
(.f64 (pow.f64 (.f64 #s(literal 2/3 binary64) (/.f64 z x)) #s(literal -1 binary64)) (/.f64 #s(literal 1/27 binary64) y))
(.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (/.f64 x y) #s(literal 1/9 binary64)) (neg.f64 z)))
(.f64 (/.f64 (.f64 #s(literal 3 binary64) x) z) (*.f64 (/.f64 #s(literal 1/27 binary64) y) #s(literal 1/2 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (.f64 (/.f64 x y) #s(literal 1/9 binary64)) #s(literal -2 binary64)))
(.f64 (/.f64 #s(literal -3 binary64) z) (/.f64 (/.f64 x (.f64 y #s(literal 27 binary64))) #s(literal -2 binary64)))
(*.f64 (/.f64 #s(literal 1/18 binary64) (neg.f64 y)) (/.f64 (neg.f64 x) z))
(*.f64 (/.f64 #s(literal 1/18 binary64) (neg.f64 z)) (/.f64 (neg.f64 x) y))
(.f64 (/.f64 (/.f64 #s(literal 3 binary64) y) z) (/.f64 (.f64 x #s(literal 1/27 binary64)) #s(literal 2 binary64)))
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal 1/18 binary64) (neg.f64 z)))
(*.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal 1/18 binary64) (neg.f64 y)))
(.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal 1/18 binary64) (.f64 y z)))
(.f64 (/.f64 (/.f64 #s(literal 3 binary64) y) #s(literal 2 binary64)) (/.f64 (.f64 x #s(literal 1/27 binary64)) z))
(.f64 (/.f64 (.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1/27 binary64) y) z))
(*.f64 (/.f64 #s(literal 1/9 binary64) z) (/.f64 (/.f64 x y) #s(literal 2 binary64)))
(.f64 #s(literal -3/2 binary64) (/.f64 (.f64 #s(literal -1/27 binary64) (/.f64 x y)) z))
(.f64 #s(literal -3/2 binary64) (/.f64 (/.f64 x (.f64 y #s(literal 27 binary64))) (neg.f64 z)))
(.f64 (/.f64 (.f64 #s(literal -1/27 binary64) (/.f64 x y)) z) #s(literal -3/2 binary64))
(.f64 (/.f64 #s(literal 3 binary64) (neg.f64 z)) (/.f64 (.f64 #s(literal -1/27 binary64) (/.f64 x y)) #s(literal 2 binary64)))
(.f64 (/.f64 (.f64 #s(literal -1/27 binary64) (/.f64 x y)) #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) (neg.f64 z)))
(.f64 (/.f64 (/.f64 x (.f64 y #s(literal 27 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -3 binary64) (*.f64 z #s(literal 2 binary64))))
(.f64 (/.f64 (/.f64 x (.f64 y #s(literal 27 binary64))) #s(literal -2 binary64)) (/.f64 #s(literal -3 binary64) z))
(.f64 (/.f64 (/.f64 x (.f64 y #s(literal 27 binary64))) (neg.f64 z)) #s(literal -3/2 binary64))
(.f64 (/.f64 (.f64 #s(literal -1/27 binary64) (/.f64 x y)) #s(literal -1 binary64)) (/.f64 #s(literal 3 binary64) (*.f64 z #s(literal 2 binary64))))
(.f64 (/.f64 x (.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 3 binary64) (*.f64 y #s(literal 27 binary64))))
(exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)))
(exp.f64 (+.f64 (log.f64 (PI.f64)) (*.f64 (log.f64 (PI.f64)) #s(literal 2 binary64))))
(exp.f64 (+.f64 (log.f64 (PI.f64)) (log.f64 (*.f64 (PI.f64) (PI.f64)))))
(exp.f64 (fma.f64 (log.f64 (PI.f64)) #s(literal 2 binary64) (log.f64 (PI.f64))))
(exp.f64 (+.f64 (log.f64 (*.f64 (PI.f64) (PI.f64))) (log.f64 (PI.f64))))
(cbrt.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))))))
(pow.f64 (PI.f64) #s(literal 3 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 3/2 binary64))
(pow.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 9 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 6 binary64))
(pow.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))) #s(literal 2 binary64))
(.f64 #s(literal 1 binary64) (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))
(.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))
(.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))
(.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1 binary64))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64)))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))))
(.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64))) (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))
(.f64 (.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(.f64 (.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 y z) #s(literal -54 binary64)))
(neg.f64 (.f64 (.f64 y z) #s(literal -54 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 z (.f64 y #s(literal 54 binary64)))))
(/.f64 (.f64 z (.f64 y #s(literal 54 binary64))) #s(literal 1 binary64))
(/.f64 (.f64 (.f64 y z) #s(literal -54 binary64)) #s(literal -1 binary64))
(.f64 y (.f64 z #s(literal 54 binary64)))
(.f64 z (.f64 y #s(literal 54 binary64)))
(.f64 z (.f64 #s(literal 54 binary64) y))
(.f64 (.f64 y z) #s(literal 54 binary64))
(.f64 #s(literal 54 binary64) (.f64 y z))
(.f64 (.f64 z #s(literal 54 binary64)) y)
(.f64 (.f64 z (*.f64 y #s(literal 54 binary64))) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (.f64 (*.f64 y z) #s(literal -54 binary64)))
(.f64 (.f64 y #s(literal 54 binary64)) z)

simplify451.0ms (1.3%)

Memory

-5.2MiB live, 670.8MiB allocated

Algorithm

1×	egg-herbie

Rules

5 396×	`lower-fma.f64`
5 396×	`lower-fma.f32`
4 458×	`lower-*.f64`
4 458×	`lower-*.f32`
1 732×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	11440
1	155	11264
2	441	11220
3	1371	11220
4	2870	11220
5	5314	11220
6	7328	11220
0	8064	11028

Stop Event

1×	iter limit
1×	node limit

Counts

852 → 852

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))))))
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(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 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))
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* -1 (* (sqrt t) (* x (pow (sqrt -1) 2))))
(* -1 (* (sqrt t) (* x (pow (sqrt -1) 2))))
(* -1 (* (sqrt t) (* x (pow (sqrt -1) 2))))
(* -1 (* (sqrt t) (* x (pow (sqrt -1) 2))))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ 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)))
(* 1/18 (/ x (* y z)))
(* 54 (* y z))
(* 54 (* y z))
(* 54 (* y z))
(* 54 (* y z))
(* 54 (* y z))
(* 54 (* y z))
(* 54 (* y z))
(* 54 (* y z))
(* 54 (* y z))
(* 54 (* y z))
(* 54 (* y z))
(* 54 (* y z))
(* 54 (* y z))
(* 54 (* y z))
(* 54 (* y z))
(* 54 (* y z))
(* 54 (* y z))
(* 54 (* y z))
(* 54 (* y z))
(* 54 (* y z))
(* 54 (* y z))
(* 54 (* y z))
(* 54 (* y z))
(* 54 (* y z))

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 x (.f64 #s(literal 1/18 binary64) (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 x (.f64 #s(literal 1/18 binary64) (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 x (.f64 #s(literal 1/18 binary64) (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 x (.f64 #s(literal 1/18 binary64) (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 x (.f64 #s(literal 1/18 binary64) (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 x (.f64 #s(literal 1/18 binary64) (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 x (.f64 #s(literal 1/18 binary64) (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 x (.f64 #s(literal 1/18 binary64) (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 x (.f64 #s(literal 1/18 binary64) (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 x (.f64 #s(literal 1/18 binary64) (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 x (.f64 #s(literal 1/18 binary64) (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 x (.f64 #s(literal 1/18 binary64) (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 x (.f64 #s(literal 1/18 binary64) (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 x (.f64 #s(literal 1/18 binary64) (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 x (.f64 #s(literal 1/18 binary64) (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 x (.f64 #s(literal 1/18 binary64) (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 x (.f64 #s(literal 1/18 binary64) (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 x (.f64 #s(literal 1/18 binary64) (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 x (.f64 #s(literal 1/18 binary64) (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 x (.f64 #s(literal 1/18 binary64) (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 x (.f64 #s(literal 1/18 binary64) (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 x (.f64 #s(literal 1/18 binary64) (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 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z))))
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(* 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)))
(* 54 (* y z))
(.f64 y (.f64 z #s(literal 54 binary64)))
(* 54 (* y z))
(.f64 y (.f64 z #s(literal 54 binary64)))
(* 54 (* y z))
(.f64 y (.f64 z #s(literal 54 binary64)))
(* 54 (* y z))
(.f64 y (.f64 z #s(literal 54 binary64)))
(* 54 (* y z))
(.f64 y (.f64 z #s(literal 54 binary64)))
(* 54 (* y z))
(.f64 y (.f64 z #s(literal 54 binary64)))
(* 54 (* y z))
(.f64 y (.f64 z #s(literal 54 binary64)))
(* 54 (* y z))
(.f64 y (.f64 z #s(literal 54 binary64)))
(* 54 (* y z))
(.f64 y (.f64 z #s(literal 54 binary64)))
(* 54 (* y z))
(.f64 y (.f64 z #s(literal 54 binary64)))
(* 54 (* y z))
(.f64 y (.f64 z #s(literal 54 binary64)))
(* 54 (* y z))
(.f64 y (.f64 z #s(literal 54 binary64)))
(* 54 (* y z))
(.f64 y (.f64 z #s(literal 54 binary64)))
(* 54 (* y z))
(.f64 y (.f64 z #s(literal 54 binary64)))
(* 54 (* y z))
(.f64 y (.f64 z #s(literal 54 binary64)))
(* 54 (* y z))
(.f64 y (.f64 z #s(literal 54 binary64)))
(* 54 (* y z))
(.f64 y (.f64 z #s(literal 54 binary64)))
(* 54 (* y z))
(.f64 y (.f64 z #s(literal 54 binary64)))
(* 54 (* y z))
(.f64 y (.f64 z #s(literal 54 binary64)))
(* 54 (* y z))
(.f64 y (.f64 z #s(literal 54 binary64)))
(* 54 (* y z))
(.f64 y (.f64 z #s(literal 54 binary64)))
(* 54 (* y z))
(.f64 y (.f64 z #s(literal 54 binary64)))
(* 54 (* y z))
(.f64 y (.f64 z #s(literal 54 binary64)))
(* 54 (* y z))
(.f64 y (.f64 z #s(literal 54 binary64)))

eval3.6s (10.7%)

Memory: 26.3MiB live, 1 110.1MiB allocated
Compiler: Compiled 145 450 to 6 939 computations (95.2% saved)

prune505.0ms (1.5%)

Memory

-11.5MiB live, 980.3MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	3 679	5	3 684
Fresh	0	0	0
Picked	4	0	4
Done	0	0	0
Total	3 683	5	3 688

Accuracy

100.0%

Counts

3 688 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.7%	(/.f64 (fma.f64 (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z))) #s(literal 3 binary64)) #s(literal -1/3 binary64) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/24 binary64))) (fma.f64 (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z)))) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)))))
▶	99.2%	(/.f64 (.f64 (-.f64 (.f64 (.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 x (sqrt.f64 t))) (.f64 y (.f64 z #s(literal 54 binary64))))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 (asin.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 x (sqrt.f64 t))) (.f64 y (.f64 z #s(literal 54 binary64))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 x (sqrt.f64 t))) (.f64 y (.f64 z #s(literal 54 binary64)))))) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
▶	99.2%	(.f64 (.f64 (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))) (/.f64 #s(literal 1/3 binary64) (fma.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z)))) (.f64 #s(literal -1/4 binary64) (.f64 (PI.f64) (PI.f64)))))) (fma.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z)))) (.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64)))))
▶	97.2%	(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (/.f64 (sqrt.f64 t) z)) (*.f64 y #s(literal 18 binary64)))))
▶	97.9%	(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 y z)) (sqrt.f64 t))))

Compiler

Compiled 480 to 216 computations (55% saved)

simplify495.0ms (1.5%)

Memory

-3.2MiB live, 779.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 (.f64 (.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 x (sqrt.f64 t))) (.f64 y (.f64 z #s(literal 54 binary64))))) #s(literal 3 binary64)))
✓	cost-diff	0	(/.f64 (.f64 (-.f64 (.f64 (.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 x (sqrt.f64 t))) (.f64 y (.f64 z #s(literal 54 binary64))))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 (asin.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 x (sqrt.f64 t))) (.f64 y (.f64 z #s(literal 54 binary64))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 x (sqrt.f64 t))) (.f64 y (.f64 z #s(literal 54 binary64)))))) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
✓	cost-diff	128	(.f64 (-.f64 (.f64 (.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 x (sqrt.f64 t))) (.f64 y (*.f64 z #s(literal 54 binary64))))) #s(literal 3 binary64))) #s(literal 1/3 binary64))
✓	cost-diff	320	(/.f64 (.f64 #s(literal 3 binary64) (.f64 x (sqrt.f64 t))) (.f64 y (.f64 z #s(literal 54 binary64))))
✓	cost-diff	0	(asin.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))
✓	cost-diff	0	(pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) #s(literal 3 binary64))
✓	cost-diff	0	(fma.f64 (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z))) #s(literal 3 binary64)) #s(literal -1/3 binary64) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/24 binary64)))
✓	cost-diff	0	(/.f64 (fma.f64 (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z))) #s(literal 3 binary64)) #s(literal -1/3 binary64) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/24 binary64))) (fma.f64 (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z)))) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)))))
✓	cost-diff	0	(*.f64 x (/.f64 (sqrt.f64 t) z))
✓	cost-diff	0	(acos.f64 (/.f64 (.f64 x (/.f64 (sqrt.f64 t) z)) (.f64 y #s(literal 18 binary64))))
✓	cost-diff	0	(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (/.f64 (sqrt.f64 t) z)) (*.f64 y #s(literal 18 binary64)))))
✓	cost-diff	384	(/.f64 (.f64 x (/.f64 (sqrt.f64 t) z)) (.f64 y #s(literal 18 binary64)))
✓	cost-diff	0	(/.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 y z))
✓	cost-diff	0	(.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) (sqrt.f64 t))
✓	cost-diff	0	(acos.f64 (.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) (sqrt.f64 t)))
✓	cost-diff	0	(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 y z)) (sqrt.f64 t))))
✓	cost-diff	0	(/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))
✓	cost-diff	0	(acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))
✓	cost-diff	0	(.f64 (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))) (/.f64 #s(literal 1/3 binary64) (fma.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z)))) (.f64 #s(literal -1/4 binary64) (.f64 (PI.f64) (PI.f64))))))
✓	cost-diff	38656	(.f64 (.f64 (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))) (/.f64 #s(literal 1/3 binary64) (fma.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z)))) (.f64 #s(literal -1/4 binary64) (.f64 (PI.f64) (PI.f64)))))) (fma.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z)))) (.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64)))))

Rules

17 684×	`lower-fma.f32`
17 676×	`lower-fma.f64`
5 090×	`lower-*.f32`
5 038×	`lower-*.f64`
4 186×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	847
0	134	891
1	257	881
2	584	881
3	1561	753
4	3141	753
5	4448	753
6	6318	753
7	6874	753
8	7801	753
0	8034	751

Stop Event

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

Calls

Call 1

Inputs
(.f64 (.f64 (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))) (/.f64 #s(literal 1/3 binary64) (fma.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z)))) (.f64 #s(literal -1/4 binary64) (.f64 (PI.f64) (PI.f64)))))) (fma.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z)))) (.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64)))))
(.f64 (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))) (/.f64 #s(literal 1/3 binary64) (fma.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z)))) (.f64 #s(literal -1/4 binary64) (.f64 (PI.f64) (PI.f64))))))
(acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))
(/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))
(.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))
x
(*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))
(sqrt.f64 t)
t
#s(literal 1/18 binary64)
(*.f64 y z)
y
z
(/.f64 #s(literal 1/3 binary64) (fma.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z)))) (.f64 #s(literal -1/4 binary64) (.f64 (PI.f64) (PI.f64)))))
#s(literal 1/3 binary64)
(fma.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z)))) (.f64 #s(literal -1/4 binary64) (.f64 (PI.f64) (PI.f64))))
(asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))))
(PI.f64)
#s(literal 1/2 binary64)
(.f64 #s(literal -1/4 binary64) (.f64 (PI.f64) (PI.f64)))
#s(literal -1/4 binary64)
(*.f64 (PI.f64) (PI.f64))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 y z)) (sqrt.f64 t))))
#s(literal 1/3 binary64)
(acos.f64 (.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) (sqrt.f64 t)))
(.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) (sqrt.f64 t))
(/.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 y z))
(*.f64 x #s(literal 1/18 binary64))
x
#s(literal 1/18 binary64)
(*.f64 y z)
y
z
(sqrt.f64 t)
t
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (/.f64 (sqrt.f64 t) z)) (*.f64 y #s(literal 18 binary64)))))
#s(literal 1/3 binary64)
(acos.f64 (/.f64 (.f64 x (/.f64 (sqrt.f64 t) z)) (.f64 y #s(literal 18 binary64))))
(/.f64 (.f64 x (/.f64 (sqrt.f64 t) z)) (.f64 y #s(literal 18 binary64)))
(*.f64 x (/.f64 (sqrt.f64 t) z))
x
(/.f64 (sqrt.f64 t) z)
(sqrt.f64 t)
t
z
(*.f64 y #s(literal 18 binary64))
y
#s(literal 18 binary64)
(/.f64 (fma.f64 (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z))) #s(literal 3 binary64)) #s(literal -1/3 binary64) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/24 binary64))) (fma.f64 (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z)))) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)))))
(fma.f64 (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z))) #s(literal 3 binary64)) #s(literal -1/3 binary64) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/24 binary64)))
(pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) #s(literal 3 binary64))
(asin.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))
(/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
x
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
#s(literal 1/18 binary64)
(sqrt.f64 t)
t
(*.f64 y z)
y
z
#s(literal 3 binary64)
#s(literal -1/3 binary64)
(.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/24 binary64))
(.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))
(PI.f64)
(*.f64 (PI.f64) (PI.f64))
#s(literal 1/24 binary64)
(fma.f64 (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z)))) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))))
#s(literal 1/2 binary64)
(.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(/.f64 (.f64 (-.f64 (.f64 (.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 x (sqrt.f64 t))) (.f64 y (.f64 z #s(literal 54 binary64))))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 (asin.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 x (sqrt.f64 t))) (.f64 y (.f64 z #s(literal 54 binary64))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 x (sqrt.f64 t))) (.f64 y (.f64 z #s(literal 54 binary64)))))) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
(.f64 (-.f64 (.f64 (.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 x (sqrt.f64 t))) (.f64 y (*.f64 z #s(literal 54 binary64))))) #s(literal 3 binary64))) #s(literal 1/3 binary64))
(-.f64 (.f64 (.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 x (sqrt.f64 t))) (.f64 y (.f64 z #s(literal 54 binary64))))) #s(literal 3 binary64)))
(.f64 (.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64))) #s(literal 1/8 binary64))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64)))
(pow.f64 (PI.f64) #s(literal 2/3 binary64))
(PI.f64)
#s(literal 2/3 binary64)
(pow.f64 (PI.f64) #s(literal 7/3 binary64))
#s(literal 7/3 binary64)
#s(literal 1/8 binary64)
(pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 x (sqrt.f64 t))) (.f64 y (.f64 z #s(literal 54 binary64))))) #s(literal 3 binary64))
(asin.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 x (sqrt.f64 t))) (.f64 y (.f64 z #s(literal 54 binary64)))))
(/.f64 (.f64 #s(literal 3 binary64) (.f64 x (sqrt.f64 t))) (.f64 y (.f64 z #s(literal 54 binary64))))
(.f64 #s(literal 3 binary64) (.f64 x (sqrt.f64 t)))
#s(literal 3 binary64)
(*.f64 x (sqrt.f64 t))
x
(sqrt.f64 t)
t
(.f64 y (.f64 z #s(literal 54 binary64)))
y
(*.f64 z #s(literal 54 binary64))
z
#s(literal 54 binary64)
#s(literal 1/3 binary64)
(fma.f64 (asin.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 x (sqrt.f64 t))) (.f64 y (.f64 z #s(literal 54 binary64))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 x (sqrt.f64 t))) (.f64 y (.f64 z #s(literal 54 binary64)))))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 x (sqrt.f64 t))) (.f64 y (.f64 z #s(literal 54 binary64))))))
#s(literal 1/2 binary64)
(.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
(*.f64 (PI.f64) (PI.f64))
#s(literal 1/4 binary64)

Outputs
(.f64 (.f64 (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))) (/.f64 #s(literal 1/3 binary64) (fma.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z)))) (.f64 #s(literal -1/4 binary64) (.f64 (PI.f64) (PI.f64)))))) (fma.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z)))) (.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64)))))
(.f64 (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))) #s(literal 1/3 binary64))
(.f64 (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))) (/.f64 #s(literal 1/3 binary64) (fma.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z)))) (.f64 #s(literal -1/4 binary64) (.f64 (PI.f64) (PI.f64))))))
(/.f64 (.f64 (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))) #s(literal 1/3 binary64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal -1/4 binary64)) (.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z)))))))
(acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))
(/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))
(.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))
x
(*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))
(sqrt.f64 t)
t
#s(literal 1/18 binary64)
(*.f64 y z)
y
z
(/.f64 #s(literal 1/3 binary64) (fma.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z)))) (.f64 #s(literal -1/4 binary64) (.f64 (PI.f64) (PI.f64)))))
(/.f64 #s(literal 1/3 binary64) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal -1/4 binary64)) (.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z)))))))
#s(literal 1/3 binary64)
(fma.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z)))) (.f64 #s(literal -1/4 binary64) (.f64 (PI.f64) (PI.f64))))
(fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal -1/4 binary64)) (.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))))))
(asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))))
(PI.f64)
#s(literal 1/2 binary64)
(.f64 #s(literal -1/4 binary64) (.f64 (PI.f64) (PI.f64)))
(.f64 (PI.f64) (.f64 (PI.f64) #s(literal -1/4 binary64)))
#s(literal -1/4 binary64)
(*.f64 (PI.f64) (PI.f64))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 y z)) (sqrt.f64 t))))
(.f64 (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))) #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
(acos.f64 (.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) (sqrt.f64 t)))
(acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))
(.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) (sqrt.f64 t))
(/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))
(/.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 y z))
(.f64 x (/.f64 #s(literal 1/18 binary64) (.f64 y z)))
(*.f64 x #s(literal 1/18 binary64))
x
#s(literal 1/18 binary64)
(*.f64 y z)
y
z
(sqrt.f64 t)
t
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (/.f64 (sqrt.f64 t) z)) (*.f64 y #s(literal 18 binary64)))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 z (.f64 y #s(literal 18 binary64))))))
#s(literal 1/3 binary64)
(acos.f64 (/.f64 (.f64 x (/.f64 (sqrt.f64 t) z)) (.f64 y #s(literal 18 binary64))))
(acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 z (*.f64 y #s(literal 18 binary64)))))
(/.f64 (.f64 x (/.f64 (sqrt.f64 t) z)) (.f64 y #s(literal 18 binary64)))
(/.f64 (.f64 x (sqrt.f64 t)) (.f64 z (*.f64 y #s(literal 18 binary64))))
(*.f64 x (/.f64 (sqrt.f64 t) z))
x
(/.f64 (sqrt.f64 t) z)
(sqrt.f64 t)
t
z
(*.f64 y #s(literal 18 binary64))
y
#s(literal 18 binary64)
(/.f64 (fma.f64 (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z))) #s(literal 3 binary64)) #s(literal -1/3 binary64) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/24 binary64))) (fma.f64 (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z)))) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))) #s(literal 3 binary64)) (.f64 (PI.f64) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/24 binary64))))) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z)))))))
(fma.f64 (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z))) #s(literal 3 binary64)) #s(literal -1/3 binary64) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/24 binary64)))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))) #s(literal 3 binary64)) (.f64 (PI.f64) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/24 binary64)))))
(pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) #s(literal 3 binary64))
(pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 3 binary64))
(asin.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))
(asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))
(/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))
(.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))
x
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
(*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))
#s(literal 1/18 binary64)
(sqrt.f64 t)
t
(*.f64 y z)
y
z
#s(literal 3 binary64)
#s(literal -1/3 binary64)
(.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/24 binary64))
(.f64 (PI.f64) (.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/24 binary64))))
(.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))
(PI.f64)
(*.f64 (PI.f64) (PI.f64))
#s(literal 1/24 binary64)
(fma.f64 (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z)))) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))))
(fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))))
#s(literal 1/2 binary64)
(.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)))
(.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(/.f64 (.f64 (-.f64 (.f64 (.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 x (sqrt.f64 t))) (.f64 y (.f64 z #s(literal 54 binary64))))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 (asin.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 x (sqrt.f64 t))) (.f64 y (.f64 z #s(literal 54 binary64))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 x (sqrt.f64 t))) (.f64 y (.f64 z #s(literal 54 binary64)))))) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
(/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))) #s(literal 3 binary64)) (.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 #s(literal 1/24 binary64) (pow.f64 (PI.f64) #s(literal 7/3 binary64))))) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))))))
(.f64 (-.f64 (.f64 (.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 x (sqrt.f64 t))) (.f64 y (*.f64 z #s(literal 54 binary64))))) #s(literal 3 binary64))) #s(literal 1/3 binary64))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))) #s(literal 3 binary64)) (.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 #s(literal 1/24 binary64) (pow.f64 (PI.f64) #s(literal 7/3 binary64)))))
(-.f64 (.f64 (.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 x (sqrt.f64 t))) (.f64 y (.f64 z #s(literal 54 binary64))))) #s(literal 3 binary64)))
(-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 (pow.f64 (PI.f64) #s(literal 7/3 binary64)) #s(literal 1/8 binary64))) (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 3 binary64)))
(.f64 (.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64))) #s(literal 1/8 binary64))
(.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 (pow.f64 (PI.f64) #s(literal 7/3 binary64)) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64)))
(pow.f64 (PI.f64) #s(literal 2/3 binary64))
(PI.f64)
#s(literal 2/3 binary64)
(pow.f64 (PI.f64) #s(literal 7/3 binary64))
#s(literal 7/3 binary64)
#s(literal 1/8 binary64)
(pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 x (sqrt.f64 t))) (.f64 y (.f64 z #s(literal 54 binary64))))) #s(literal 3 binary64))
(pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 3 binary64))
(asin.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 x (sqrt.f64 t))) (.f64 y (.f64 z #s(literal 54 binary64)))))
(asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))
(/.f64 (.f64 #s(literal 3 binary64) (.f64 x (sqrt.f64 t))) (.f64 y (.f64 z #s(literal 54 binary64))))
(/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))
(.f64 #s(literal 3 binary64) (.f64 x (sqrt.f64 t)))
(.f64 x (.f64 (sqrt.f64 t) #s(literal 3 binary64)))
#s(literal 3 binary64)
(*.f64 x (sqrt.f64 t))
x
(sqrt.f64 t)
t
(.f64 y (.f64 z #s(literal 54 binary64)))
y
(*.f64 z #s(literal 54 binary64))
z
#s(literal 54 binary64)
#s(literal 1/3 binary64)
(fma.f64 (asin.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 x (sqrt.f64 t))) (.f64 y (.f64 z #s(literal 54 binary64))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 x (sqrt.f64 t))) (.f64 y (.f64 z #s(literal 54 binary64)))))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))
(fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 x (sqrt.f64 t))) (.f64 y (.f64 z #s(literal 54 binary64))))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))))
#s(literal 1/2 binary64)
(.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
(*.f64 (PI.f64) (PI.f64))
#s(literal 1/4 binary64)

localize311.0ms (0.9%)

Memory

-4.6MiB live, 442.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.0%	(.f64 y (.f64 z #s(literal 54 binary64)))
✓	accuracy	98.4%	(pow.f64 (PI.f64) #s(literal 7/3 binary64))
✓	accuracy	98.4%	(.f64 (-.f64 (.f64 (.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 x (sqrt.f64 t))) (.f64 y (*.f64 z #s(literal 54 binary64))))) #s(literal 3 binary64))) #s(literal 1/3 binary64))
✓	accuracy	87.9%	(/.f64 (.f64 #s(literal 3 binary64) (.f64 x (sqrt.f64 t))) (.f64 y (.f64 z #s(literal 54 binary64))))
✓	accuracy	99.5%	(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
✓	accuracy	98.4%	(.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/24 binary64))
✓	accuracy	98.4%	(.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))
✓	accuracy	87.8%	(/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
✓	accuracy	99.6%	(/.f64 (sqrt.f64 t) z)
✓	accuracy	98.5%	(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (/.f64 (sqrt.f64 t) z)) (*.f64 y #s(literal 18 binary64)))))
✓	accuracy	95.1%	(*.f64 x (/.f64 (sqrt.f64 t) z))
✓	accuracy	91.2%	(/.f64 (.f64 x (/.f64 (sqrt.f64 t) z)) (.f64 y #s(literal 18 binary64)))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/18 binary64))
✓	accuracy	98.5%	(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 y z)) (sqrt.f64 t))))
✓	accuracy	94.1%	(.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) (sqrt.f64 t))
✓	accuracy	89.6%	(/.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 y z))
✓	accuracy	100.0%	(.f64 (.f64 (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))) (/.f64 #s(literal 1/3 binary64) (fma.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z)))) (.f64 #s(literal -1/4 binary64) (.f64 (PI.f64) (PI.f64)))))) (fma.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z)))) (.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64)))))
✓	accuracy	99.6%	(.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))
✓	accuracy	99.5%	(*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))
✓	accuracy	87.8%	(/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))

Samples

169.0ms

256×

valid

Compiler

Compiled 872 to 82 computations (90.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 129.0ms

ival-mult: 48.0ms (37.2% of total)

const: 18.0ms (14% of total)

ival-pow: 18.0ms (14% of total)

ival-div: 16.0ms (12.4% of total)

ival-add: 7.0ms (5.4% of total)

ival-acos: 6.0ms (4.7% of total)

ival-asin: 5.0ms (3.9% of total)

ival-sqrt: 4.0ms (3.1% of total)

ival-pi: 1.0ms (0.8% of total)

ival-copysign: 1.0ms (0.8% of total)

ival-fabs: 1.0ms (0.8% of total)

ival-sub: 1.0ms (0.8% of total)

exact: 1.0ms (0.8% of total)

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

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

series215.0ms (0.6%)

Memory

-3.9MiB live, 399.7MiB allocated

Counts

30 → 1 092

Calls

Call 1

Inputs
#<alt (.f64 (.f64 (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))) (/.f64 #s(literal 1/3 binary64) (fma.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z)))) (.f64 #s(literal -1/4 binary64) (.f64 (PI.f64) (PI.f64)))))) (fma.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z)))) (.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64)))))>
#<alt (.f64 (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))) (/.f64 #s(literal 1/3 binary64) (fma.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z)))) (.f64 #s(literal -1/4 binary64) (.f64 (PI.f64) (PI.f64))))))>
#<alt (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))>
#<alt (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))>
#<alt (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 y z)) (sqrt.f64 t))))>
#<alt (acos.f64 (.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) (sqrt.f64 t)))>
#<alt (.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) (sqrt.f64 t))>
#<alt (/.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 y z))>
#<alt (/.f64 (.f64 x (/.f64 (sqrt.f64 t) z)) (.f64 y #s(literal 18 binary64)))>
#<alt (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (/.f64 (sqrt.f64 t) z)) (*.f64 y #s(literal 18 binary64)))))>
#<alt (acos.f64 (/.f64 (.f64 x (/.f64 (sqrt.f64 t) z)) (.f64 y #s(literal 18 binary64))))>
#<alt (*.f64 x (/.f64 (sqrt.f64 t) z))>
#<alt (/.f64 (fma.f64 (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z))) #s(literal 3 binary64)) #s(literal -1/3 binary64) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/24 binary64))) (fma.f64 (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z)))) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)))))>
#<alt (fma.f64 (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z))) #s(literal 3 binary64)) #s(literal -1/3 binary64) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/24 binary64)))>
#<alt (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) #s(literal 3 binary64))>
#<alt (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))>
#<alt (/.f64 (.f64 #s(literal 3 binary64) (.f64 x (sqrt.f64 t))) (.f64 y (.f64 z #s(literal 54 binary64))))>
#<alt (.f64 (-.f64 (.f64 (.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 x (sqrt.f64 t))) (.f64 y (*.f64 z #s(literal 54 binary64))))) #s(literal 3 binary64))) #s(literal 1/3 binary64))>
#<alt (/.f64 (.f64 (-.f64 (.f64 (.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 x (sqrt.f64 t))) (.f64 y (.f64 z #s(literal 54 binary64))))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 (asin.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 x (sqrt.f64 t))) (.f64 y (.f64 z #s(literal 54 binary64))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 x (sqrt.f64 t))) (.f64 y (.f64 z #s(literal 54 binary64)))))) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))>
#<alt (-.f64 (.f64 (.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 x (sqrt.f64 t))) (.f64 y (.f64 z #s(literal 54 binary64))))) #s(literal 3 binary64)))>
#<alt (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))>
#<alt (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))>
#<alt (*.f64 x #s(literal 1/18 binary64))>
#<alt (/.f64 (sqrt.f64 t) z)>
#<alt (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))>
#<alt (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))>
#<alt (.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/24 binary64))>
#<alt (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))>
#<alt (pow.f64 (PI.f64) #s(literal 7/3 binary64))>
#<alt (.f64 y (.f64 z #s(literal 54 binary64)))>

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 (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 (* 1/3 (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))))) (+ (* -1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))>
#<alt (* 1/3 (/ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (* -1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))>
#<alt (* 1/3 (/ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (* -1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))>
#<alt (* 1/3 (/ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (* -1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))>
#<alt (* 1/3 (/ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (* -1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))>
#<alt (* 1/3 (/ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (* -1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))>
#<alt (* 1/3 (/ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (* -1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))>
#<alt (* 1/3 (/ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (* -1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))>
#<alt (* 1/3 (/ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (* -1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))>
#<alt (* 1/3 (/ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (* -1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))>
#<alt (* 1/3 (/ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (* -1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))>
#<alt (* 1/3 (/ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (* -1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))>
#<alt (* 1/3 (/ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (* -1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))>
#<alt (* 1/3 (/ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (* -1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))>
#<alt (* 1/3 (/ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (* -1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))>
#<alt (* 1/3 (/ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (* -1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))>
#<alt (* 1/3 (/ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (* -1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))>
#<alt (* 1/3 (/ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (* -1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))>
#<alt (* 1/3 (/ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (* -1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))>
#<alt (* 1/3 (/ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (* -1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))>
#<alt (* 1/3 (/ (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (+ (* -1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI)))))))>
#<alt (* 1/3 (/ (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (+ (* -1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI)))))))>
#<alt (* 1/3 (/ (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (+ (* -1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI)))))))>
#<alt (* 1/3 (/ (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (+ (* -1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI)))))))>
#<alt (* 1/3 (/ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (* -1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))>
#<alt (* 1/3 (/ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (* -1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))>
#<alt (* 1/3 (/ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (* -1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))>
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#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (* 1/18 (sqrt t))>
#<alt (* 1/18 (sqrt t))>
#<alt (* 1/18 (sqrt t))>
#<alt (* 1/18 (sqrt t))>
#<alt (* 1/18 (sqrt t))>
#<alt (* 1/18 (sqrt t))>
#<alt (* 1/18 (sqrt t))>
#<alt (* 1/18 (sqrt t))>
#<alt (* -1/18 (* (sqrt t) (pow (sqrt -1) 2)))>
#<alt (* -1/18 (* (sqrt t) (pow (sqrt -1) 2)))>
#<alt (* -1/18 (* (sqrt t) (pow (sqrt -1) 2)))>
#<alt (* -1/18 (* (sqrt t) (pow (sqrt -1) 2)))>
#<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 (* (sqrt t) (/ 1 z))>
#<alt (* (sqrt t) (/ 1 z))>
#<alt (* (sqrt t) (/ 1 z))>
#<alt (* (sqrt t) (/ 1 z))>
#<alt (* (sqrt t) (/ 1 z))>
#<alt (* (sqrt t) (/ 1 z))>
#<alt (* (sqrt t) (/ 1 z))>
#<alt (* (sqrt t) (/ 1 z))>
#<alt (* -1 (* (sqrt t) (/ (pow (sqrt -1) 2) z)))>
#<alt (* -1 (* (sqrt t) (/ (pow (sqrt -1) 2) z)))>
#<alt (* -1 (* (sqrt t) (/ (pow (sqrt -1) 2) z)))>
#<alt (* -1 (* (sqrt t) (/ (pow (sqrt -1) 2) z)))>
#<alt (* (sqrt t) (/ 1 z))>
#<alt (* (sqrt t) (/ 1 z))>
#<alt (* (sqrt t) (/ 1 z))>
#<alt (* (sqrt t) (/ 1 z))>
#<alt (* (sqrt t) (/ 1 z))>
#<alt (* (sqrt t) (/ 1 z))>
#<alt (* (sqrt t) (/ 1 z))>
#<alt (* (sqrt t) (/ 1 z))>
#<alt (* (sqrt t) (/ 1 z))>
#<alt (* (sqrt t) (/ 1 z))>
#<alt (* (sqrt t) (/ 1 z))>
#<alt (* (sqrt t) (/ 1 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 (* 1/18 (sqrt t))>
#<alt (* 1/18 (sqrt t))>
#<alt (* 1/18 (sqrt t))>
#<alt (* 1/18 (sqrt t))>
#<alt (* 1/18 (sqrt t))>
#<alt (* 1/18 (sqrt t))>
#<alt (* 1/18 (sqrt t))>
#<alt (* 1/18 (sqrt t))>
#<alt (* -1/18 (* (sqrt t) (pow (sqrt -1) 2)))>
#<alt (* -1/18 (* (sqrt t) (pow (sqrt -1) 2)))>
#<alt (* -1/18 (* (sqrt t) (pow (sqrt -1) 2)))>
#<alt (* -1/18 (* (sqrt t) (pow (sqrt -1) 2)))>
#<alt (* 54 (* y z))>
#<alt (* 54 (* y z))>
#<alt (* 54 (* y z))>
#<alt (* 54 (* y z))>
#<alt (* 54 (* y z))>
#<alt (* 54 (* y z))>
#<alt (* 54 (* y z))>
#<alt (* 54 (* y z))>
#<alt (* 54 (* y z))>
#<alt (* 54 (* y z))>
#<alt (* 54 (* y z))>
#<alt (* 54 (* y z))>
#<alt (* 54 (* y z))>
#<alt (* 54 (* y z))>
#<alt (* 54 (* y z))>
#<alt (* 54 (* y z))>
#<alt (* 54 (* y z))>
#<alt (* 54 (* y z))>
#<alt (* 54 (* y z))>
#<alt (* 54 (* y z))>
#<alt (* 54 (* y z))>
#<alt (* 54 (* y z))>
#<alt (* 54 (* y z))>
#<alt (* 54 (* y z))>

Calls

273 calls:

Time	Variable		Point	Expression
10.0ms	z	@	0	(* (- (* (* (pow (PI) 2/3) (pow (PI) 7/3)) 1/8) (pow (asin (/ (* 3 (* x (sqrt t))) (* y (* z 54)))) 3)) 1/3)
5.0ms	y	@	inf	(/ (+ (* (pow (asin (/ (* x (* 1/18 (sqrt t))) (* y z))) 3) -1/3) (* (* (PI) (* (PI) (PI))) 1/24)) (+ (* (asin (/ (* x (* 1/18 (sqrt t))) (* y z))) (+ (* (PI) 1/2) (asin (/ (* x (* 1/18 (sqrt t))) (* y z))))) (* (PI) (* (PI) 1/4))))
4.0ms	z	@	inf	(+ (* (pow (asin (/ (* x (* 1/18 (sqrt t))) (* y z))) 3) -1/3) (* (* (PI) (* (PI) (PI))) 1/24))
4.0ms	t	@	-inf	(* x (/ (sqrt t) z))
4.0ms	y	@	-inf	(* (acos (/ (* x (* (sqrt t) 1/18)) (* y z))) (/ 1/3 (+ (* (asin (/ (* x (* (sqrt t) 1/18)) (* y z))) (+ (* (PI) 1/2) (asin (/ (* x (* (sqrt t) 1/18)) (* y z))))) (* -1/4 (* (PI) (PI))))))

rewrite550.0ms (1.6%)

Memory

21.3MiB live, 907.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 956×	`lower-fma.f32`
6 948×	`lower-fma.f64`
4 244×	`lower-*.f32`
4 194×	`lower-*.f64`
2 914×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	73	502
0	134	626
1	469	622
2	3230	366
0	8399	366

Stop Event

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

Counts

30 → 1 780

Calls

Call 1

Inputs
(.f64 (.f64 (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))) (/.f64 #s(literal 1/3 binary64) (fma.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z)))) (.f64 #s(literal -1/4 binary64) (.f64 (PI.f64) (PI.f64)))))) (fma.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z)))) (.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64)))))
(.f64 (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))) (/.f64 #s(literal 1/3 binary64) (fma.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z)))) (.f64 #s(literal -1/4 binary64) (.f64 (PI.f64) (PI.f64))))))
(acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))
(/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 y z)) (sqrt.f64 t))))
(acos.f64 (.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) (sqrt.f64 t)))
(.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) (sqrt.f64 t))
(/.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 y z))
(/.f64 (.f64 x (/.f64 (sqrt.f64 t) z)) (.f64 y #s(literal 18 binary64)))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (/.f64 (sqrt.f64 t) z)) (*.f64 y #s(literal 18 binary64)))))
(acos.f64 (/.f64 (.f64 x (/.f64 (sqrt.f64 t) z)) (.f64 y #s(literal 18 binary64))))
(*.f64 x (/.f64 (sqrt.f64 t) z))
(/.f64 (fma.f64 (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z))) #s(literal 3 binary64)) #s(literal -1/3 binary64) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/24 binary64))) (fma.f64 (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z)))) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)))))
(fma.f64 (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z))) #s(literal 3 binary64)) #s(literal -1/3 binary64) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/24 binary64)))
(pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) #s(literal 3 binary64))
(asin.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))
(/.f64 (.f64 #s(literal 3 binary64) (.f64 x (sqrt.f64 t))) (.f64 y (.f64 z #s(literal 54 binary64))))
(.f64 (-.f64 (.f64 (.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 x (sqrt.f64 t))) (.f64 y (*.f64 z #s(literal 54 binary64))))) #s(literal 3 binary64))) #s(literal 1/3 binary64))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 x (sqrt.f64 t))) (.f64 y (.f64 z #s(literal 54 binary64))))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 (asin.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 x (sqrt.f64 t))) (.f64 y (.f64 z #s(literal 54 binary64))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 x (sqrt.f64 t))) (.f64 y (.f64 z #s(literal 54 binary64)))))) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
(-.f64 (.f64 (.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 x (sqrt.f64 t))) (.f64 y (.f64 z #s(literal 54 binary64))))) #s(literal 3 binary64)))
(*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))
(.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))
(*.f64 x #s(literal 1/18 binary64))
(/.f64 (sqrt.f64 t) z)
(/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))
(.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/24 binary64))
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
(pow.f64 (PI.f64) #s(literal 7/3 binary64))
(.f64 y (.f64 z #s(literal 54 binary64)))

Outputs
(+.f64 (/.f64 (.f64 (.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))))) (.f64 (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))) #s(literal 1/3 binary64))) (fma.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z)))) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal -1/4 binary64))))) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal -1/4 binary64))) (/.f64 (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))) (.f64 (fma.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z)))) (.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -1/4 binary64)))) #s(literal 3 binary64)))))
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(.f64 (/.f64 x y) (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) z))
(.f64 (/.f64 x y) (.f64 (/.f64 #s(literal 1/18 binary64) z) (sqrt.f64 t)))
(.f64 (.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) (/.f64 x y))
(.f64 (/.f64 #s(literal 3 binary64) y) (/.f64 (.f64 x (sqrt.f64 t)) (*.f64 z #s(literal 54 binary64))))
(.f64 (/.f64 (.f64 x (sqrt.f64 t)) (*.f64 z #s(literal 54 binary64))) (/.f64 #s(literal 3 binary64) y))
(.f64 (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) z) (/.f64 x y))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 y z)) (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 y z)) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 y z)) (pow.f64 (/.f64 #s(literal 54 binary64) (.f64 x (.f64 (sqrt.f64 t) #s(literal 3 binary64)))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 x (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 y z)) #s(literal 1/54 binary64)) (.f64 x (*.f64 (sqrt.f64 t) #s(literal 3 binary64))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 y z)) #s(literal 1/54 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 (sqrt.f64 t) #s(literal 3 binary64)))) #s(literal -1 binary64)))
(.f64 (.f64 x #s(literal 3 binary64)) (.f64 (sqrt.f64 t) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 1/54 binary64))))
(.f64 (.f64 x #s(literal 3 binary64)) (/.f64 (sqrt.f64 t) (.f64 y (.f64 z #s(literal 54 binary64)))))
(.f64 (/.f64 (.f64 x (sqrt.f64 t)) (*.f64 y z)) #s(literal 1/18 binary64))
(.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) y) (/.f64 (sqrt.f64 t) z))
(.f64 (.f64 (.f64 x (sqrt.f64 t)) (/.f64 #s(literal 3 binary64) y)) (/.f64 #s(literal 1 binary64) (.f64 z #s(literal 54 binary64))))
(.f64 (.f64 x (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y)) (/.f64 #s(literal 1 binary64) z))
(.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (.f64 z #s(literal 54 binary64)))) #s(literal 3 binary64))
(.f64 (/.f64 (sqrt.f64 t) (.f64 (*.f64 y #s(literal 18 binary64)) z)) x)
(.f64 (/.f64 x z) (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y))
(.f64 (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))
(.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) z) (/.f64 (sqrt.f64 t) y))
(.f64 (/.f64 (.f64 x (sqrt.f64 t)) y) (/.f64 #s(literal 1/18 binary64) z))
(.f64 (/.f64 (.f64 x (sqrt.f64 t)) y) (/.f64 #s(literal 3 binary64) (*.f64 z #s(literal 54 binary64))))
(.f64 (/.f64 #s(literal 1/18 binary64) y) (.f64 x (/.f64 (sqrt.f64 t) z)))
(.f64 (/.f64 #s(literal 1/18 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x (/.f64 (sqrt.f64 t) z))) #s(literal -1 binary64)))
(*.f64 (/.f64 x #s(literal 18 binary64)) (/.f64 (/.f64 (sqrt.f64 t) z) y))
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (/.f64 x #s(literal 18 binary64)))
(.f64 (/.f64 #s(literal 3 binary64) (.f64 y z)) (/.f64 (*.f64 x (sqrt.f64 t)) #s(literal 54 binary64)))
(.f64 (/.f64 #s(literal 3 binary64) (.f64 z #s(literal 54 binary64))) (/.f64 (*.f64 x (sqrt.f64 t)) y))
(.f64 (/.f64 (.f64 x #s(literal 3 binary64)) y) (/.f64 (sqrt.f64 t) (*.f64 z #s(literal 54 binary64))))
(.f64 (/.f64 (.f64 x #s(literal 3 binary64)) (*.f64 y z)) (/.f64 (sqrt.f64 t) #s(literal 54 binary64)))
(.f64 (/.f64 (.f64 x #s(literal 3 binary64)) (*.f64 z #s(literal 54 binary64))) (/.f64 (sqrt.f64 t) y))
(.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 z (.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 (.f64 z #s(literal 54 binary64)) (.f64 x (.f64 (sqrt.f64 t) #s(literal 3 binary64)))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 18 binary64) (.f64 x (/.f64 (sqrt.f64 t) z))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 z #s(literal 54 binary64))) (.f64 (.f64 x (sqrt.f64 t)) (/.f64 #s(literal 3 binary64) y)))
(.f64 (.f64 (sqrt.f64 t) (/.f64 x y)) (/.f64 #s(literal 1/18 binary64) z))
(.f64 (pow.f64 (/.f64 y (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 z x) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 z x) #s(literal -1 binary64)) (pow.f64 (/.f64 y (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) #s(literal -1 binary64)))
(.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 (sqrt.f64 t))) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 z #s(literal 54 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 z #s(literal 54 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 y (*.f64 x (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 (pow.f64 (/.f64 y (.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 z #s(literal 54 binary64)) (sqrt.f64 t)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 y z) #s(literal 3 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 54 binary64) (*.f64 x (sqrt.f64 t))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 y z) (*.f64 x (sqrt.f64 t))) #s(literal -1 binary64)) #s(literal 1/18 binary64))
(.f64 (pow.f64 (/.f64 (.f64 y z) (*.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 54 binary64) (sqrt.f64 t)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 z #s(literal 54 binary64)) (*.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 y (sqrt.f64 t)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 y (/.f64 (sqrt.f64 t) z)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 18 binary64) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 18 binary64) x) #s(literal -1 binary64)) (pow.f64 (/.f64 y (/.f64 (sqrt.f64 t) z)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 y #s(literal 18 binary64)) (*.f64 x (sqrt.f64 t))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) z))
(exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)))
(exp.f64 (fma.f64 #s(literal 2/3 binary64) (log.f64 (PI.f64)) (*.f64 #s(literal 7/3 binary64) (log.f64 (PI.f64)))))
(exp.f64 (fma.f64 #s(literal 7/3 binary64) (log.f64 (PI.f64)) (*.f64 #s(literal 2/3 binary64) (log.f64 (PI.f64)))))
(exp.f64 (+.f64 (log.f64 (PI.f64)) (*.f64 (log.f64 (PI.f64)) #s(literal 2 binary64))))
(exp.f64 (+.f64 (log.f64 (PI.f64)) (log.f64 (*.f64 (PI.f64) (PI.f64)))))
(exp.f64 (fma.f64 (log.f64 (PI.f64)) #s(literal 2 binary64) (log.f64 (PI.f64))))
(exp.f64 (+.f64 (log.f64 (*.f64 (PI.f64) (PI.f64))) (log.f64 (PI.f64))))
(cbrt.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))))))
(pow.f64 (PI.f64) #s(literal 3 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 3/2 binary64))
(pow.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 9 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 6 binary64))
(pow.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))) #s(literal 2 binary64))
(.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))
(.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))
(.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1 binary64))
(*.f64 (pow.f64 (PI.f64) #s(literal 7/3 binary64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
(.f64 #s(literal 1 binary64) (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 8/3 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64)))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 7/6 binary64)) (pow.f64 (PI.f64) #s(literal 11/6 binary64)))
(.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64))) (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 11/6 binary64)) (pow.f64 (PI.f64) #s(literal 7/6 binary64)))
(.f64 (.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 8/3 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 2/9 binary64)) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 7/3 binary64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 7/3 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 2/9 binary64)) #s(literal 3 binary64)))
(.f64 (PI.f64) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/24 binary64)))
(.f64 (.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/24 binary64)))
(.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/24 binary64))
(.f64 #s(literal 1/24 binary64) (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))
(.f64 (pow.f64 (PI.f64) #s(literal 7/3 binary64)) (.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/24 binary64)))
(.f64 #s(literal 1 binary64) (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/24 binary64))))
(.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 (cbrt.f64 (PI.f64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/24 binary64))))
(.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 (pow.f64 (PI.f64) #s(literal 7/3 binary64)) #s(literal 1/24 binary64)))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/24 binary64))))
(.f64 (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/24 binary64)) (PI.f64))
(.f64 (.f64 #s(literal 1/24 binary64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))
(.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (pow.f64 (PI.f64) #s(literal 7/3 binary64)))
(.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 (PI.f64) #s(literal 7/3 binary64))) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
(*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
(exp.f64 (*.f64 #s(literal 7/3 binary64) (log.f64 (PI.f64))))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) (PI.f64))) #s(literal 7/6 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (PI.f64) #s(literal 7/6 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 7/6 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (PI.f64)) #s(literal 7/6 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64)) (*.f64 (log.f64 (PI.f64)) #s(literal 2 binary64))))
(exp.f64 (fma.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64)) (log.f64 (*.f64 (PI.f64) (PI.f64)))))
(exp.f64 (fma.f64 (log.f64 (PI.f64)) #s(literal 7/6 binary64) (*.f64 (log.f64 (PI.f64)) #s(literal 7/6 binary64))))
(cbrt.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))))))
(pow.f64 (PI.f64) #s(literal 7/3 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 7/6 binary64))
(pow.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 7/9 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 7 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 14/3 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 7/6 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 7/3 binary64)) (log.f64 (PI.f64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 7/3 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 7/3 binary64)))
(.f64 (cbrt.f64 (PI.f64)) (.f64 (PI.f64) (PI.f64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 7/6 binary64)) (pow.f64 (PI.f64) #s(literal 7/6 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 14/9 binary64)) (pow.f64 (PI.f64) #s(literal 7/9 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 7/9 binary64)) (pow.f64 (PI.f64) #s(literal 14/9 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 7/9 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64)) #s(literal 7/6 binary64)))
(.f64 (pow.f64 (PI.f64) #s(literal 7/12 binary64)) (pow.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64))) #s(literal 7/6 binary64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 2/9 binary64)) #s(literal 7/3 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 7/3 binary64))) #s(literal 7/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 7/3 binary64))) #s(literal 7/3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 2/9 binary64)) #s(literal 7/3 binary64)))
(.f64 (pow.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64))) #s(literal 7/6 binary64)) (pow.f64 (PI.f64) #s(literal 7/12 binary64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64)) #s(literal 7/6 binary64)) (pow.f64 (PI.f64) #s(literal 7/9 binary64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 5/3 binary64)) #s(literal 7/6 binary64)) (pow.f64 (PI.f64) #s(literal 7/18 binary64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 7/9 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 7/18 binary64)) #s(literal 2 binary64)))
(.f64 y (.f64 z #s(literal 54 binary64)))
(.f64 z (.f64 y #s(literal 54 binary64)))
(.f64 z (.f64 #s(literal 54 binary64) y))
(.f64 (.f64 y z) #s(literal 54 binary64))
(.f64 #s(literal 54 binary64) (.f64 y z))
(.f64 (.f64 z #s(literal 54 binary64)) y)
(.f64 (.f64 y #s(literal 54 binary64)) z)

simplify4.2s (12.6%)

Memory

-0.9MiB live, 752.7MiB allocated

Algorithm

1×	egg-herbie

Rules

5 258×	`lower-*.f64`
5 258×	`lower-*.f32`
4 472×	`lower-fma.f64`
4 472×	`lower-fma.f32`
2 594×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	92	18880
1	205	18512
2	559	18432
3	1808	18432
4	3797	18432
5	6637	18432
0	8158	17952

Stop Event

1×	iter limit
1×	node limit

Counts

1 092 → 1 092

Calls

Call 1

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

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

eval2.6s (7.8%)

Memory: -64.6MiB live, 1 218.8MiB allocated
Compiler: Compiled 313 887 to 8 138 computations (97.4% saved)

prune1.3s (3.8%)

Memory

20.7MiB live, 705.0MiB allocated

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	5 053	1	5 054
Fresh	0	0	0
Picked	2	3	5
Done	0	0	0
Total	5 055	4	5 059

Accuracy

100.0%

Counts

5 059 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(/.f64 (fma.f64 (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z))) #s(literal 3 binary64)) #s(literal -1/3 binary64) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/24 binary64))) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z)))) (.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
✓	97.7%	(/.f64 (fma.f64 (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z))) #s(literal 3 binary64)) #s(literal -1/3 binary64) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/24 binary64))) (fma.f64 (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z)))) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)))))
✓	97.2%	(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (/.f64 (sqrt.f64 t) z)) (*.f64 y #s(literal 18 binary64)))))
✓	97.9%	(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 y z)) (sqrt.f64 t))))

Compiler

Compiled 158 to 88 computations (44.3% saved)

simplify974.0ms (2.9%)

Memory

-0.8MiB live, 861.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) #s(literal 3 binary64))
✓	cost-diff	0	(fma.f64 (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z))) #s(literal 3 binary64)) #s(literal -1/3 binary64) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/24 binary64)))
✓	cost-diff	0	(/.f64 (fma.f64 (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z))) #s(literal 3 binary64)) #s(literal -1/3 binary64) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/24 binary64))) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z)))) (.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
✓	cost-diff	1600	(fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z)))))

Rules

20 558×	`lower-fma.f32`
20 550×	`lower-fma.f64`
3 958×	`lower-*.f32`
3 938×	`lower-*.f64`
2 020×	`lower-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	35	288
0	64	280
1	118	268
2	246	268
3	658	268
4	1642	268
5	3130	268
6	5496	268
0	8055	268

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (fma.f64 (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z))) #s(literal 3 binary64)) #s(literal -1/3 binary64) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/24 binary64))) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z)))) (.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
(fma.f64 (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z))) #s(literal 3 binary64)) #s(literal -1/3 binary64) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/24 binary64)))
(pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) #s(literal 3 binary64))
(asin.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))
(/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
x
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
#s(literal 1/18 binary64)
(sqrt.f64 t)
t
(*.f64 y z)
y
z
#s(literal 3 binary64)
#s(literal -1/3 binary64)
(.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/24 binary64))
(.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))
(PI.f64)
(*.f64 (PI.f64) (PI.f64))
#s(literal 1/24 binary64)
(fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z)))) (.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z)))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))
#s(literal 1/2 binary64)
(sqrt.f64 (PI.f64))
(neg.f64 (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))))
(acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))
(/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))
(.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))
(*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))))
(.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)

Outputs
(/.f64 (fma.f64 (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z))) #s(literal 3 binary64)) #s(literal -1/3 binary64) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/24 binary64))) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z)))) (.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z))) #s(literal 3 binary64)) #s(literal -1/3 binary64) (.f64 (PI.f64) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/24 binary64))))) (fma.f64 (-.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)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z)))) (.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
(fma.f64 (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z))) #s(literal 3 binary64)) #s(literal -1/3 binary64) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/24 binary64)))
(fma.f64 (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z))) #s(literal 3 binary64)) #s(literal -1/3 binary64) (.f64 (PI.f64) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/24 binary64)))))
(pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) #s(literal 3 binary64))
(asin.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))
(/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
x
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
#s(literal 1/18 binary64)
(sqrt.f64 t)
t
(*.f64 y z)
y
z
#s(literal 3 binary64)
#s(literal -1/3 binary64)
(.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/24 binary64))
(.f64 (PI.f64) (.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/24 binary64))))
(.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))
(PI.f64)
(*.f64 (PI.f64) (PI.f64))
#s(literal 1/24 binary64)
(fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z)))) (.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(fma.f64 (-.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)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z)))) (.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 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))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))
#s(literal 1/2 binary64)
(sqrt.f64 (PI.f64))
(neg.f64 (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))))
(neg.f64 (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))))
(acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))
(acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))
(/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))
(/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))
(.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))))
(.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)

localize315.0ms (0.9%)

Memory

-8.2MiB live, 683.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.4%	(sqrt.f64 (PI.f64))
✓	accuracy	87.8%	(/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))
✓	accuracy	87.8%	(/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
✓	accuracy	5.5%	(fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z)))))

Samples

158.0ms	153×	2	valid
74.0ms	94×	1	valid
5.0ms	9×	0	valid

Compiler

Compiled 300 to 41 computations (86.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 182.0ms

ival-mult: 56.0ms (30.7% of total)

const: 36.0ms (19.7% of total)

adjust: 20.0ms (11% of total)

ival-acos: 13.0ms (7.1% of total)

ival-div: 12.0ms (6.6% of total)

ival-pow: 12.0ms (6.6% of total)

ival-add: 12.0ms (6.6% of total)

ival-sqrt: 11.0ms (6% of total)

ival-asin: 5.0ms (2.7% of total)

ival-neg: 3.0ms (1.6% of total)

ival-pi: 2.0ms (1.1% of total)

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

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

exact: 0.0ms (0% of total)

series93.0ms (0.3%)

Memory

4.5MiB live, 239.5MiB allocated

Counts

7 → 288

Calls

Call 1

Inputs
#<alt (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z)))))>
#<alt (/.f64 (fma.f64 (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z))) #s(literal 3 binary64)) #s(literal -1/3 binary64) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/24 binary64))) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z)))) (.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))>
#<alt (fma.f64 (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z))) #s(literal 3 binary64)) #s(literal -1/3 binary64) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/24 binary64)))>
#<alt (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) #s(literal 3 binary64))>
#<alt (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))>
#<alt (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))>
#<alt (sqrt.f64 (PI.f64))>

Outputs
#<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))))))>
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#<alt (+ (* -1/3 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (* 1/24 (pow (PI) 3)))>
#<alt (+ (* -1/3 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (* 1/24 (pow (PI) 3)))>
#<alt (+ (* -1/3 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (* 1/24 (pow (PI) 3)))>
#<alt (+ (* -1/3 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (* 1/24 (pow (PI) 3)))>
#<alt (+ (* -1/3 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (* 1/24 (pow (PI) 3)))>
#<alt (+ (* -1/3 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (* 1/24 (pow (PI) 3)))>
#<alt (+ (* -1/3 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (* 1/24 (pow (PI) 3)))>
#<alt (+ (* -1/3 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (* 1/24 (pow (PI) 3)))>
#<alt (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)>
#<alt (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)>
#<alt (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)>
#<alt (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)>
#<alt (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<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 (* 1/18 (* (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

72 calls:

Time	Variable		Point	Expression
20.0ms	y	@	inf	(/ (+ (* (pow (asin (/ (* x (* 1/18 (sqrt t))) (* y z))) 3) -1/3) (* (* (PI) (* (PI) (PI))) 1/24)) (+ (* (+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (neg (acos (/ (* x (* (sqrt t) 1/18)) (* y z))))) (+ (* (PI) 1/2) (asin (/ (* x (* 1/18 (sqrt t))) (* y z))))) (* (PI) (* (PI) 1/4))))
6.0ms	x	@	-inf	(/ (+ (* (pow (asin (/ (* x (* 1/18 (sqrt t))) (* y z))) 3) -1/3) (* (* (PI) (* (PI) (PI))) 1/24)) (+ (* (+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (neg (acos (/ (* x (* (sqrt t) 1/18)) (* y z))))) (+ (* (PI) 1/2) (asin (/ (* x (* 1/18 (sqrt t))) (* y z))))) (* (PI) (* (PI) 1/4))))
4.0ms	y	@	-inf	(/ (+ (* (pow (asin (/ (* x (* 1/18 (sqrt t))) (* y z))) 3) -1/3) (* (* (PI) (* (PI) (PI))) 1/24)) (+ (* (+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (neg (acos (/ (* x (* (sqrt t) 1/18)) (* y z))))) (+ (* (PI) 1/2) (asin (/ (* x (* 1/18 (sqrt t))) (* y z))))) (* (PI) (* (PI) 1/4))))
3.0ms	y	@	0	(+ (* (pow (asin (/ (* x (* 1/18 (sqrt t))) (* y z))) 3) -1/3) (* (* (PI) (* (PI) (PI))) 1/24))
3.0ms	t	@	-inf	(/ (+ (* (pow (asin (/ (* x (* 1/18 (sqrt t))) (* y z))) 3) -1/3) (* (* (PI) (* (PI) (PI))) 1/24)) (+ (* (+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (neg (acos (/ (* x (* (sqrt t) 1/18)) (* y z))))) (+ (* (PI) 1/2) (asin (/ (* x (* 1/18 (sqrt t))) (* y z))))) (* (PI) (* (PI) 1/4))))

rewrite439.0ms (1.3%)

Memory

-5.4MiB live, 924.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

10 450×	`lower-fma.f32`
10 442×	`lower-fma.f64`
4 444×	`lower-*.f32`
4 424×	`lower-*.f64`
3 636×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	35	138
0	64	126
1	219	118
2	1552	118
0	8268	118

Stop Event

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

Counts

7 → 405

Calls

Call 1

Inputs
(fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z)))))
(/.f64 (fma.f64 (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z))) #s(literal 3 binary64)) #s(literal -1/3 binary64) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/24 binary64))) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z)))) (.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
(fma.f64 (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z))) #s(literal 3 binary64)) #s(literal -1/3 binary64) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/24 binary64)))
(pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) #s(literal 3 binary64))
(/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))
(sqrt.f64 (PI.f64))

Outputs
(+.f64 (neg.f64 (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z)))) (.f64 #s(literal 1/2 binary64) (PI.f64)))
(+.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (neg.f64 (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z)))))
(+.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))))
(+.f64 (/.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))))) (neg.f64 (/.f64 (pow.f64 (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))))))
(exp.f64 (log.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))))
(-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))))
(-.f64 #s(literal 0 binary64) (-.f64 (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))) (.f64 #s(literal 1/2 binary64) (PI.f64))))
(-.f64 (/.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))))) (/.f64 (pow.f64 (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))))))
(-.f64 (/.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (neg.f64 (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z)))) (-.f64 (neg.f64 (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z)))) (.f64 #s(literal 1/2 binary64) (PI.f64)))))) (/.f64 (pow.f64 (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))) #s(literal 3 binary64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (neg.f64 (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z)))) (-.f64 (neg.f64 (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z)))) (.f64 #s(literal 1/2 binary64) (PI.f64)))))))
(-.f64 (/.f64 (pow.f64 (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))) #s(literal 2 binary64)) (-.f64 (neg.f64 (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z)))) (.f64 #s(literal 1/2 binary64) (PI.f64)))) (/.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (-.f64 (neg.f64 (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))))
(fma.f64 (sqrt.f64 (PI.f64)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (neg.f64 (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z)))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z)))))
(fma.f64 (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))) #s(literal -1 binary64) (.f64 #s(literal 1/2 binary64) (PI.f64)))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (PI.f64)) (neg.f64 (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z)))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z)))))
(fma.f64 (neg.f64 (pow.f64 (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))) #s(literal 2 binary64)) #s(literal 0 binary64))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(fma.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))))) (neg.f64 (/.f64 (pow.f64 (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))))))
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(.f64 (/.f64 (neg.f64 (.f64 x #s(literal 1/18 binary64))) y) (/.f64 (sqrt.f64 t) (neg.f64 z)))
(.f64 (/.f64 (neg.f64 (.f64 x #s(literal 1/18 binary64))) z) (/.f64 (sqrt.f64 t) (neg.f64 y)))
(.f64 (/.f64 (neg.f64 (.f64 x #s(literal 1/18 binary64))) #s(literal -1 binary64)) (/.f64 (sqrt.f64 t) (*.f64 y z)))
(.f64 (/.f64 (neg.f64 (.f64 x (sqrt.f64 t))) y) (/.f64 #s(literal 1/18 binary64) (neg.f64 z)))
(.f64 (/.f64 (neg.f64 (.f64 x (sqrt.f64 t))) z) (/.f64 #s(literal 1/18 binary64) (neg.f64 y)))
(.f64 (/.f64 (neg.f64 (.f64 x (sqrt.f64 t))) #s(literal -1 binary64)) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))
(.f64 (pow.f64 (/.f64 (.f64 y z) (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (.f64 y z) (.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))) #s(literal -1/2 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 y z) (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (.f64 #s(literal -1/18 binary64) (/.f64 (.f64 x (sqrt.f64 t)) (*.f64 y z))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 y (neg.f64 z))) (.f64 #s(literal -1/18 binary64) (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y z))))
(neg.f64 (.f64 #s(literal -1/18 binary64) (/.f64 (.f64 x (sqrt.f64 t)) (*.f64 y z))))
(/.f64 x (/.f64 (.f64 y z) (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))))
(/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))
(/.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) (neg.f64 (neg.f64 (/.f64 (.f64 y z) (.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 z (.f64 (/.f64 x y) (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 y (.f64 x (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) z))))
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) z)))
(/.f64 (.f64 (.f64 x (sqrt.f64 t)) #s(literal -1/18 binary64)) (*.f64 y (neg.f64 z)))
(/.f64 (/.f64 x y) (/.f64 z (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))))
(/.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) z) (/.f64 y x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 y z) (.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))))))
(/.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x y)) z)
(/.f64 (neg.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x y))) (neg.f64 z))
(/.f64 (.f64 (/.f64 x y) (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) z)
(/.f64 (.f64 x (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) z)) y)
(/.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) z) y)
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x y)))) (neg.f64 (neg.f64 z)))
(/.f64 (neg.f64 (.f64 (/.f64 x y) (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))) (neg.f64 z))
(/.f64 (neg.f64 (.f64 x (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) z))) (neg.f64 y))
(/.f64 (neg.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) z)) (neg.f64 y))
(pow.f64 (/.f64 (.f64 y z) (.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))) #s(literal -1 binary64))
(.f64 x (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (*.f64 y z)))
(.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 y z)))
(.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (/.f64 #s(literal 1 binary64) (.f64 y z)))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z)))
(.f64 (.f64 (.f64 x (sqrt.f64 t)) #s(literal -1/18 binary64)) (/.f64 #s(literal -1 binary64) (.f64 y z)))
(.f64 (/.f64 x y) (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) z))
(.f64 (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) z) (/.f64 x y))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 y z)) (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 y z)) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -1/18 binary64) (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y z))))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (.f64 y z) (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))))))
(.f64 (.f64 x #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) (*.f64 y z)))
(.f64 (.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))
(.f64 (.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x y)) (/.f64 #s(literal 1 binary64) z))
(.f64 (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (*.f64 y z)) x)
(.f64 (neg.f64 (.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x y))) (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(.f64 (/.f64 x z) (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y))
(.f64 (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))
(.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) y) (/.f64 (sqrt.f64 t) z))
(.f64 (/.f64 (sqrt.f64 t) z) (/.f64 (.f64 x #s(literal 1/18 binary64)) y))
(.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) z) (/.f64 (sqrt.f64 t) y))
(.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (.f64 x #s(literal 1/18 binary64)) z))
(.f64 (/.f64 (.f64 x (sqrt.f64 t)) y) (/.f64 #s(literal 1/18 binary64) z))
(.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (.f64 x (sqrt.f64 t)) y))
(.f64 (/.f64 (.f64 x (sqrt.f64 t)) z) (/.f64 #s(literal 1/18 binary64) y))
(.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (.f64 x (sqrt.f64 t)) z))
(.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) z))
(.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 z (.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x y)))
(.f64 (.f64 (/.f64 x y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (/.f64 #s(literal 1 binary64) z))
(.f64 (.f64 x (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) z)) (/.f64 #s(literal 1 binary64) y))
(.f64 (/.f64 (.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) z) (/.f64 #s(literal 1 binary64) y))
(.f64 (pow.f64 (/.f64 y (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 z x) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 z x) #s(literal -1 binary64)) (pow.f64 (/.f64 y (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) #s(literal -1 binary64)))
(.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 y (.f64 x (sqrt.f64 t))) #s(literal -1 binary64)) (pow.f64 (*.f64 z #s(literal 18 binary64)) #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 (pow.f64 (/.f64 z (.f64 x (sqrt.f64 t))) #s(literal -1 binary64)) (pow.f64 (*.f64 y #s(literal 18 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))
(.f64 (/.f64 x (neg.f64 y)) (/.f64 (neg.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) z))
(.f64 (/.f64 (neg.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) z) (/.f64 x (neg.f64 y)))
(.f64 (/.f64 x (neg.f64 z)) (/.f64 (neg.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) y))
(.f64 (/.f64 (neg.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) y) (/.f64 x (neg.f64 z)))
(.f64 (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 x) (*.f64 y z)))
(.f64 (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (neg.f64 y)) (/.f64 (neg.f64 x) z))
(.f64 (/.f64 (neg.f64 x) z) (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (neg.f64 y)))
(.f64 (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (neg.f64 z)) (/.f64 (neg.f64 x) y))
(.f64 (/.f64 (neg.f64 x) y) (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (neg.f64 z)))
(.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (neg.f64 z)))
(.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (neg.f64 y)))
(.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 (sqrt.f64 t)) (*.f64 y z)))
(.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)) (neg.f64 z)) (/.f64 (neg.f64 (sqrt.f64 t)) y))
(.f64 (/.f64 (.f64 x (sqrt.f64 t)) #s(literal -1 binary64)) (/.f64 #s(literal -1/18 binary64) (*.f64 y z)))
(.f64 (/.f64 (.f64 x (sqrt.f64 t)) (neg.f64 y)) (/.f64 #s(literal -1/18 binary64) z))
(.f64 (/.f64 (.f64 x (sqrt.f64 t)) (neg.f64 z)) (/.f64 #s(literal -1/18 binary64) y))
(.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (*.f64 y z)))
(.f64 (/.f64 (neg.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) #s(literal -1 binary64)) (/.f64 x (*.f64 y z)))
(.f64 (/.f64 (neg.f64 (.f64 x #s(literal 1/18 binary64))) y) (/.f64 (sqrt.f64 t) (neg.f64 z)))
(.f64 (/.f64 (neg.f64 (.f64 x #s(literal 1/18 binary64))) z) (/.f64 (sqrt.f64 t) (neg.f64 y)))
(.f64 (/.f64 (neg.f64 (.f64 x #s(literal 1/18 binary64))) #s(literal -1 binary64)) (/.f64 (sqrt.f64 t) (*.f64 y z)))
(.f64 (/.f64 (neg.f64 (.f64 x (sqrt.f64 t))) y) (/.f64 #s(literal 1/18 binary64) (neg.f64 z)))
(.f64 (/.f64 (neg.f64 (.f64 x (sqrt.f64 t))) z) (/.f64 #s(literal 1/18 binary64) (neg.f64 y)))
(.f64 (/.f64 (neg.f64 (.f64 x (sqrt.f64 t))) #s(literal -1 binary64)) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))
(.f64 (pow.f64 (/.f64 (.f64 y z) (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (.f64 y z) (.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))) #s(literal -1/2 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 (*.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 (cbrt.f64 (PI.f64)) #s(literal 3/2 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)))

simplify260.0ms (0.8%)

Memory

32.0MiB live, 627.2MiB allocated

Algorithm

1×	egg-herbie

Rules

5 500×	`lower-fma.f64`
5 500×	`lower-fma.f32`
4 524×	`lower-*.f64`
4 524×	`lower-*.f32`
1 594×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	6264
1	102	6192
2	282	6144
3	998	6144
4	3379	6144
5	6213	6144
0	8097	5952

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 288

Calls

Call 1

Inputs
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ (+ (* -1/3 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (* 1/24 (pow (PI) 3))) (+ (* 1/4 (pow (PI) 2)) (* (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))) (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))))
(/ (+ (* -1/3 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (* 1/24 (pow (PI) 3))) (+ (* 1/4 (pow (PI) 2)) (* (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))) (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))))
(/ (+ (* -1/3 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (* 1/24 (pow (PI) 3))) (+ (* 1/4 (pow (PI) 2)) (* (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))) (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))))
(/ (+ (* -1/3 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (* 1/24 (pow (PI) 3))) (+ (* 1/4 (pow (PI) 2)) (* (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))) (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))))
(/ (+ (* -1/3 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (* 1/24 (pow (PI) 3))) (+ (* 1/4 (pow (PI) 2)) (* (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))) (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))))
(/ (+ (* -1/3 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (* 1/24 (pow (PI) 3))) (+ (* 1/4 (pow (PI) 2)) (* (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))) (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))))
(/ (+ (* -1/3 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (* 1/24 (pow (PI) 3))) (+ (* 1/4 (pow (PI) 2)) (* (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))) (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))))
(/ (+ (* -1/3 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (* 1/24 (pow (PI) 3))) (+ (* 1/4 (pow (PI) 2)) (* (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))) (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))))
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(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
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(* 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))))
(* 1/18 (* (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))))
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(* 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))))
(* 1/18 (* (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))))
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(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))

Outputs
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (.f64 y z))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (.f64 y z))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (.f64 y z))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (.f64 y z))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))))
(/ (+ (* -1/3 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (* 1/24 (pow (PI) 3))) (+ (* 1/4 (pow (PI) 2)) (* (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))) (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))))
(/.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 3 binary64)) (.f64 #s(literal 1/24 binary64) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))))) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z)))) (.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
(/ (+ (* -1/3 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (* 1/24 (pow (PI) 3))) (+ (* 1/4 (pow (PI) 2)) (* (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))) (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))))
(/.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 3 binary64)) (.f64 #s(literal 1/24 binary64) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))))) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z)))) (.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
(/ (+ (* -1/3 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (* 1/24 (pow (PI) 3))) (+ (* 1/4 (pow (PI) 2)) (* (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))) (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))))
(/.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 3 binary64)) (.f64 #s(literal 1/24 binary64) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))))) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z)))) (.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
(/ (+ (* -1/3 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (* 1/24 (pow (PI) 3))) (+ (* 1/4 (pow (PI) 2)) (* (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))) (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))))
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(/.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 (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))

eval193.0ms (0.6%)

Memory: -9.7MiB live, 428.5MiB allocated
Compiler: Compiled 58 900 to 2 301 computations (96.1% saved)

prune97.0ms (0.3%)

Memory

7.9MiB live, 286.2MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	850	0	850
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	850	4	854

Accuracy

100.0%

Counts

854 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.2%	(/.f64 (fma.f64 (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z))) #s(literal 3 binary64)) #s(literal -1/3 binary64) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/24 binary64))) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z)))) (.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
✓	97.7%	(/.f64 (fma.f64 (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z))) #s(literal 3 binary64)) #s(literal -1/3 binary64) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/24 binary64))) (fma.f64 (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z)))) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)))))
✓	97.2%	(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (/.f64 (sqrt.f64 t) z)) (*.f64 y #s(literal 18 binary64)))))
✓	97.9%	(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 y z)) (sqrt.f64 t))))

Compiler

Compiled 569 to 193 computations (66.1% saved)

regimes85.0ms (0.3%)

Memory

-15.4MiB live, 115.1MiB allocated

Counts

11 → 1

Calls

Call 1

Inputs
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (.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 (/.f64 (sqrt.f64 t) z)) (*.f64 y #s(literal 18 binary64)))))
(.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))))
(.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))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(/.f64 (fma.f64 (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z))) #s(literal 3 binary64)) #s(literal -1/3 binary64) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/24 binary64))) (fma.f64 (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z)))) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 x (sqrt.f64 t))) (.f64 y (.f64 z #s(literal 54 binary64))))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 (asin.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 x (sqrt.f64 t))) (.f64 y (.f64 z #s(literal 54 binary64))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 x (sqrt.f64 t))) (.f64 y (.f64 z #s(literal 54 binary64)))))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
(/.f64 (fma.f64 (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z))) #s(literal 3 binary64)) #s(literal -1/3 binary64) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/24 binary64))) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z)))) (.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
(.f64 (.f64 (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))) (/.f64 #s(literal 1/3 binary64) (fma.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z)))) (.f64 #s(literal -1/4 binary64) (.f64 (PI.f64) (PI.f64)))))) (fma.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z)))) (.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 x (sqrt.f64 t))) (.f64 y (.f64 z #s(literal 54 binary64))))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 (asin.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 x (sqrt.f64 t))) (.f64 y (.f64 z #s(literal 54 binary64))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 x (sqrt.f64 t))) (.f64 y (.f64 z #s(literal 54 binary64)))))) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))

Outputs

(/.f64 (fma.f64 (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) #s(literal 3 binary64)) #s(literal -1/3 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/24 binary64))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))

Calls

13 calls:

36.0ms	(sqrt.f64 t)
9.0ms	(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
4.0ms	z
4.0ms	(*.f64 y #s(literal 27 binary64))
4.0ms	t

Results

Accuracy	Segments	Branch
99.2%	1	`x`
99.2%	1	`y`
99.2%	1	`z`
99.2%	1	`t`
99.2%	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))))`
99.2%	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)))`
99.2%	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))`
99.2%	1	`(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))`
99.2%	1	`(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))`
99.2%	1	`(/.f64 x (*.f64 y #s(literal 27 binary64)))`
99.2%	1	`(*.f64 y #s(literal 27 binary64))`
99.2%	1	`(*.f64 z #s(literal 2 binary64))`
99.2%	1	`(sqrt.f64 t)`

Compiler

Compiled 135 to 108 computations (20% saved)

regimes40.0ms (0.1%)

Memory

-14.9MiB live, 105.0MiB allocated

Counts

8 → 1

Calls

Call 1

Inputs
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (.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 (/.f64 (sqrt.f64 t) z)) (*.f64 y #s(literal 18 binary64)))))
(.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))))
(.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))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(/.f64 (fma.f64 (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z))) #s(literal 3 binary64)) #s(literal -1/3 binary64) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/24 binary64))) (fma.f64 (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z)))) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 x (sqrt.f64 t))) (.f64 y (.f64 z #s(literal 54 binary64))))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 (asin.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 x (sqrt.f64 t))) (.f64 y (.f64 z #s(literal 54 binary64))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 x (sqrt.f64 t))) (.f64 y (.f64 z #s(literal 54 binary64)))))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))

Outputs
(.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))))

Calls

13 calls:

4.0ms	(*.f64 z #s(literal 2 binary64))
3.0ms	(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
3.0ms	(*.f64 y #s(literal 27 binary64))
3.0ms	(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))
3.0ms	(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)

regimes28.0ms (0.1%)

Memory

-3.0MiB live, 75.2MiB allocated

Accuracy

Total -0.9b remaining (-71%)

Threshold costs -0.9b (-71%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

13 calls:

4.0ms	y
3.0ms	(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))
2.0ms	(*.f64 y #s(literal 27 binary64))
2.0ms	(.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
2.0ms	(sqrt.f64 t)

Results

Accuracy	Segments	Branch
97.9%	1	`x`
97.9%	1	`y`
97.9%	1	`z`
97.9%	1	`t`
97.9%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))`
97.9%	1	`(acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))`
97.9%	1	`(.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t))`
97.9%	1	`(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))`
97.9%	1	`(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))`
97.9%	1	`(/.f64 x (*.f64 y #s(literal 27 binary64)))`
97.9%	1	`(*.f64 y #s(literal 27 binary64))`
97.9%	1	`(*.f64 z #s(literal 2 binary64))`
97.9%	1	`(sqrt.f64 t)`

Compiler

Compiled 135 to 108 computations (20% saved)

simplify8.0ms (0%)

Memory

22.0MiB live, 22.0MiB allocated

Algorithm

1×	egg-herbie

Rules

34×	`*-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	51	92
1	71	92
2	73	92
3	74	92

Stop Event

1×

saturated

Calls

Call 1

Inputs

(/.f64 (fma.f64 (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) #s(literal 3 binary64)) #s(literal -1/3 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/24 binary64))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 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))))

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

Outputs
(/.f64 (fma.f64 (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z))) #s(literal 3 binary64)) #s(literal -1/3 binary64) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/24 binary64))) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z)))) (.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z))) #s(literal 3 binary64)) #s(literal -1/3 binary64) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/24 binary64))) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z)))) (.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 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))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (.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)))))

soundness693.0ms (2.1%)

Memory

-17.6MiB live, 539.6MiB allocated

Rules

6 956×	`lower-fma.f32`
6 948×	`lower-fma.f64`
5 832×	`lower-*.f32`
5 822×	`lower-*.f64`
5 396×	`lower-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	51	291
0	92	255
1	271	231
2	1806	213
0	8266	213
0	73	502
0	134	626
1	469	622
2	3230	366
0	8399	366
0	66	11440
1	155	11264
2	441	11220
3	1371	11220
4	2870	11220
5	5314	11220
6	7328	11220
0	8064	11028
0	18	55
0	29	55
1	69	47
2	387	41
3	3742	41
0	8214	41

Stop Event

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

Compiler

Compiled 159 to 99 computations (37.7% saved)

preprocess59.0ms (0.2%)

Memory: 31.4MiB live, 142.3MiB allocated
Remove: (sort y z)
Compiler: Compiled 808 to 420 computations (48% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze363.0ms (1.1%)

sample6.1s (18.1%)

preprocess158.0ms (0.5%)

explain237.0ms (0.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify86.0ms (0.3%)

localize53.0ms (0.2%)

series38.0ms (0.1%)

rewrite318.0ms (0.9%)

simplify208.0ms (0.6%)

eval125.0ms (0.4%)

prune120.0ms (0.4%)

simplify7.4s (22.2%)

localize202.0ms (0.6%)

series203.0ms (0.6%)

rewrite459.0ms (1.4%)

simplify451.0ms (1.3%)

eval3.6s (10.7%)

prune505.0ms (1.5%)

simplify495.0ms (1.5%)

localize311.0ms (0.9%)

series215.0ms (0.6%)

rewrite550.0ms (1.6%)

simplify4.2s (12.6%)

eval2.6s (7.8%)

prune1.3s (3.8%)

simplify974.0ms (2.9%)

localize315.0ms (0.9%)

series93.0ms (0.3%)

rewrite439.0ms (1.3%)

simplify260.0ms (0.8%)

eval193.0ms (0.6%)

prune97.0ms (0.3%)

regimes85.0ms (0.3%)

regimes40.0ms (0.1%)

regimes28.0ms (0.1%)

simplify8.0ms (0%)

soundness693.0ms (2.1%)

preprocess59.0ms (0.2%)

end0.0ms (0%)

Profiling