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

analyze339.0ms (1.1%)

Memory

2.1MiB live, 569.9MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 21 to 20 computations (4.8% saved)

sample5.4s (17.5%)

Memory

-39.9MiB live, 6 687.5MiB allocated

Samples

2.2s	15 289×	0	invalid
1.1s	8 256×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 2.4s

ival-mult: 857.0ms (36% of total)

ival-div: 693.0ms (29.2% of total)

ival-sqrt: 565.0ms (23.8% of total)

ival-acos: 191.0ms (8% of total)

exact: 43.0ms (1.8% of total)

ival-true: 19.0ms (0.8% of total)

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

Bogosity

preprocess157.0ms (0.5%)

Memory

-10.2MiB live, 109.3MiB 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)

explain220.0ms (0.7%)

Memory

-12.1MiB live, 386.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
18	-	0	-	`(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))`
13	-	3	(2.1814699770137535e-229 7.24347339008847e-94 2.0104316461173651e+186 3.834540948318382e+234)	`(.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	-	`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	-	`(/.f64 x (*.f64 y #s(literal 27 binary64)))`
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	17	0
↳	`(/.f64 x (*.f64 y #s(literal 27 binary64)))`	underflow	60
↳	`(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))`	underflow	60
`*.f64`	`(.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t))`	*nu**	10	0
`/.f64`	`(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))`	n/o	1	0
↳	`(*.f64 z #s(literal 2 binary64))`	overflow	1

Confusion

	Predicted +	Predicted -
+	0	0
-	28	228

Precision

0.0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	28	0	228

Precision?

0.0

Recall?

0/0

Freqs

test

number	freq
0	228
1	28

Total Confusion?

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

Precision?

0.0

Recall?

0/0

Samples

106.0ms

512×

valid

Compiler

Compiled 230 to 76 computations (67% saved)

Precisions

Click to see histograms. Total time spent on operations: 83.0ms

ival-div: 59.0ms (70.9% of total)

ival-mult: 14.0ms (16.8% of total)

ival-sqrt: 4.0ms (4.8% of total)

ival-acos: 4.0ms (4.8% of total)

exact: 1.0ms (1.2% of total)

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

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

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 4 to 4 computations (0% saved)

prune1.0ms (0%)

Memory

1.3MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	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))))

Status

Accuracy

Program

▶

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))))

Compiler

Compiled 23 to 18 computations (21.7% saved)

simplify91.0ms (0.3%)

Memory

8.4MiB live, 125.3MiB 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

localize49.0ms (0.2%)

Memory

34.1MiB live, 109.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(.f64 #s(literal 3 binary64) (/.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	95.7%	(.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	93.3%	(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))

Samples

31.0ms

256×

valid

Compiler

Compiled 92 to 20 computations (78.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-mult: 10.0ms (49.4% of total)

ival-div: 6.0ms (29.7% of total)

ival-sqrt: 2.0ms (9.9% of total)

ival-acos: 2.0ms (9.9% of total)

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

exact: 0.0ms (0% of total)

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

series30.0ms (0.1%)

Memory

-17.8MiB live, 56.8MiB allocated

Counts

5 → 156

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))>

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))))>

Calls

39 calls:

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

rewrite451.0ms (1.5%)

Memory

-18.1MiB live, 466.8MiB 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	50
0	29	50
1	69	42
2	387	36
3	3742	36
0	8214	36

Stop Event

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

Counts

5 → 518

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))

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)
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 #s(literal -2 binary64) (.f64 (/.f64 z (.f64 x #s(literal 1/9 binary64))) y))) (.f64 (.f64 z #s(literal -2 binary64)) #s(literal 1 binary64))) (.f64 (.f64 z #s(literal -2 binary64)) (.f64 #s(literal -2 binary64) (.f64 (/.f64 z (*.f64 x #s(literal 1/9 binary64))) y))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 (.f64 z #s(literal -2 binary64)) (/.f64 (.f64 y #s(literal 27 binary64)) x))) (.f64 (.f64 z #s(literal -2 binary64)) #s(literal 3 binary64))) (.f64 (.f64 z #s(literal -2 binary64)) (.f64 (.f64 z #s(literal -2 binary64)) (/.f64 (*.f64 y #s(literal 27 binary64)) x))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 z #s(literal -2 binary64))) (.f64 (.f64 z #s(literal -2 binary64)) (/.f64 (.f64 x #s(literal 1/9 binary64)) y))) (.f64 (.f64 z #s(literal 2 binary64)) (.f64 z #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 z #s(literal 2 binary64))) (.f64 (.f64 z #s(literal -2 binary64)) (.f64 (/.f64 x y) #s(literal -1/9 binary64)))) (.f64 (.f64 z #s(literal -2 binary64)) (.f64 z #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 z (.f64 #s(literal -54 binary64) y))) (.f64 (.f64 z #s(literal -2 binary64)) (.f64 #s(literal 3 binary64) x))) (.f64 (.f64 z #s(literal -2 binary64)) (.f64 z (.f64 #s(literal -54 binary64) y))))
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(.f64 #s(literal 1 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 (.f64 x (sqrt.f64 t)) (.f64 y (.f64 z #s(literal 54 binary64)))))
(.f64 #s(literal 3 binary64) (.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (.f64 x (sqrt.f64 t)) (.f64 #s(literal 54 binary64) y))))
(.f64 #s(literal 3 binary64) (.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y #s(literal 27 binary64))) (/.f64 #s(literal 1/2 binary64) z)))
(.f64 #s(literal 3 binary64) (.f64 (/.f64 x (.f64 (.f64 y #s(literal 27 binary64)) z)) (*.f64 (sqrt.f64 t) #s(literal 1/2 binary64))))
(.f64 x (.f64 (/.f64 #s(literal 1/9 binary64) y) (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/2 binary64)) z)))
(.f64 (/.f64 x (.f64 y #s(literal 27 binary64))) (.f64 #s(literal 3 binary64) (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/2 binary64)) z)))
(.f64 (/.f64 x (.f64 y #s(literal 27 binary64))) (*.f64 (/.f64 #s(literal 3/2 binary64) z) (sqrt.f64 t)))
(.f64 (/.f64 x (.f64 y #s(literal 27 binary64))) (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 t)) (/.f64 #s(literal 1/2 binary64) z)))
(.f64 (/.f64 x (.f64 y #s(literal 27 binary64))) (.f64 (/.f64 #s(literal 3 binary64) z) (.f64 (sqrt.f64 t) #s(literal 1/2 binary64))))
(.f64 (/.f64 x (.f64 y #s(literal 27 binary64))) (/.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 t)) (.f64 z #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 x #s(literal 1/9 binary64)) y) (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/2 binary64)) z))
(.f64 (/.f64 (.f64 x #s(literal 1/9 binary64)) y) (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 (sqrt.f64 t) #s(literal 1/2 binary64))))
(.f64 (.f64 #s(literal 3/2 binary64) (/.f64 x (.f64 (.f64 y #s(literal 27 binary64)) z))) (sqrt.f64 t))
(.f64 (sqrt.f64 t) (.f64 #s(literal 3/2 binary64) (/.f64 x (.f64 (.f64 y #s(literal 27 binary64)) z))))
(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 t) (/.f64 (.f64 x #s(literal 1/9 binary64)) (.f64 z y))))
(.f64 (.f64 (/.f64 x y) #s(literal -1/9 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) z) (sqrt.f64 t)))
(.f64 (.f64 (/.f64 x y) #s(literal -1/9 binary64)) (/.f64 (sqrt.f64 t) (*.f64 z #s(literal -2 binary64))))
(.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 (.f64 x (sqrt.f64 t)) (*.f64 #s(literal 54 binary64) y)))
(.f64 (/.f64 #s(literal 3 binary64) z) (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 (.f64 x (sqrt.f64 t)) (*.f64 y #s(literal 27 binary64)))) #s(literal -1 binary64)))
(.f64 (/.f64 x (.f64 #s(literal 54 binary64) y)) (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 t)) z))
(.f64 (/.f64 x (.f64 #s(literal 54 binary64) y)) (pow.f64 (/.f64 z (*.f64 #s(literal 3 binary64) (sqrt.f64 t))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1/2 binary64) z) (.f64 (/.f64 (*.f64 x #s(literal 1/9 binary64)) y) (sqrt.f64 t)))
(.f64 (/.f64 #s(literal 1/2 binary64) z) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 (*.f64 x #s(literal 1/9 binary64)) y) (sqrt.f64 t))) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 3 binary64) x) (.f64 (/.f64 #s(literal 1/27 binary64) y) (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/2 binary64)) z)))
(.f64 (.f64 (/.f64 (*.f64 x #s(literal 1/9 binary64)) y) (sqrt.f64 t)) (/.f64 #s(literal 1/2 binary64) z))
(.f64 (/.f64 (.f64 x #s(literal 1/9 binary64)) (.f64 z y)) (.f64 (sqrt.f64 t) #s(literal 1/2 binary64)))
(.f64 (/.f64 (.f64 x #s(literal 1/9 binary64)) (.f64 z y)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 t)))
(.f64 (/.f64 x (.f64 y (.f64 z #s(literal 54 binary64)))) (.f64 #s(literal 3 binary64) (sqrt.f64 t)))
(.f64 (.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) #s(literal -1/9 binary64))) (/.f64 #s(literal -1/2 binary64) z))
(.f64 (neg.f64 (/.f64 (.f64 x #s(literal 1/9 binary64)) (*.f64 z y))) (/.f64 (sqrt.f64 t) #s(literal -2 binary64)))
(.f64 (/.f64 #s(literal 3 binary64) y) (.f64 (.f64 x #s(literal 1/27 binary64)) (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/2 binary64)) z)))
(.f64 #s(literal 1/9 binary64) (.f64 (/.f64 x y) (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/2 binary64)) z)))
(.f64 (.f64 (sqrt.f64 t) #s(literal 1/2 binary64)) (/.f64 (.f64 x #s(literal 1/9 binary64)) (.f64 z y)))
(.f64 (/.f64 (.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 54 binary64) y)) (/.f64 (sqrt.f64 t) z))
(.f64 (/.f64 (sqrt.f64 t) z) (/.f64 (.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 54 binary64) y)))
(.f64 #s(literal 3/2 binary64) (/.f64 (/.f64 (.f64 x (sqrt.f64 t)) (*.f64 y #s(literal 27 binary64))) z))
(.f64 #s(literal 3/2 binary64) (/.f64 (sqrt.f64 t) (.f64 (/.f64 z x) (*.f64 y #s(literal 27 binary64)))))
(.f64 #s(literal 3/2 binary64) (.f64 (/.f64 x (.f64 (.f64 y #s(literal 27 binary64)) z)) (sqrt.f64 t)))
(.f64 #s(literal 3/2 binary64) (pow.f64 (/.f64 z (/.f64 (.f64 x (sqrt.f64 t)) (*.f64 y #s(literal 27 binary64)))) #s(literal -1 binary64)))
(.f64 (/.f64 x (.f64 (.f64 y #s(literal 27 binary64)) z)) (/.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 t)) #s(literal 2 binary64)))
(.f64 (/.f64 x (.f64 (*.f64 y #s(literal 27 binary64)) z)) (/.f64 (sqrt.f64 t) #s(literal 2/3 binary64)))
(.f64 (/.f64 x (.f64 (.f64 y #s(literal 27 binary64)) z)) (.f64 #s(literal 3/2 binary64) (sqrt.f64 t)))
(.f64 (/.f64 x (.f64 (.f64 y #s(literal 27 binary64)) z)) (pow.f64 (/.f64 #s(literal 2 binary64) (.f64 #s(literal 3 binary64) (sqrt.f64 t))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (.f64 #s(literal 3 binary64) (.f64 x (sqrt.f64 t))) (.f64 #s(literal 54 binary64) y)))
(.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (sqrt.f64 t) (.f64 (/.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/9 binary64))) y)))
(.f64 (pow.f64 t #s(literal 1/4 binary64)) (.f64 (pow.f64 t #s(literal 1/4 binary64)) (.f64 #s(literal 3/2 binary64) (/.f64 x (.f64 (*.f64 y #s(literal 27 binary64)) z)))))
(.f64 (pow.f64 t #s(literal 1/4 binary64)) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (.f64 z (.f64 (/.f64 #s(literal 2 binary64) (.f64 x #s(literal 1/9 binary64))) y))))
(.f64 (/.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 t)) z) (/.f64 x (*.f64 #s(literal 54 binary64) y)))
(.f64 (/.f64 (.f64 x (sqrt.f64 t)) (*.f64 y #s(literal 27 binary64))) (/.f64 #s(literal 3/2 binary64) z))
(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 t)) (/.f64 x (.f64 y (.f64 z #s(literal 54 binary64)))))
(.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (.f64 z #s(literal 54 binary64)))) #s(literal 3 binary64))
(.f64 (/.f64 (.f64 x (sqrt.f64 t)) (*.f64 #s(literal 54 binary64) y)) (/.f64 #s(literal 3 binary64) z))
(.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 x #s(literal 1/9 binary64)) (.f64 z y))) #s(literal 1/2 binary64))
(.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 x (sqrt.f64 t))) (.f64 #s(literal 54 binary64) y)) (/.f64 #s(literal 1 binary64) z))
(.f64 (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/2 binary64)) z) (/.f64 (*.f64 x #s(literal 1/9 binary64)) y))
(.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) z) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (.f64 (/.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/9 binary64))) y)))
(.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (.f64 (/.f64 z (*.f64 x #s(literal 1/9 binary64))) y)))
(.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (*.f64 (/.f64 y x) #s(literal 9 binary64))))
(.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (.f64 z #s(literal 1/3 binary64))) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (*.f64 #s(literal 54 binary64) (/.f64 y x))))
(.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (.f64 #s(literal 54 binary64) (/.f64 y x))) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (*.f64 z #s(literal 1/3 binary64))))
(.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (.f64 (/.f64 z x) (*.f64 y #s(literal 27 binary64)))) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) #s(literal 2/3 binary64)))
(.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) #s(literal 2/3 binary64)) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (.f64 (/.f64 z x) (*.f64 y #s(literal 27 binary64)))))
(.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (/.f64 (.f64 z #s(literal 2/3 binary64)) x)) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (*.f64 y #s(literal 27 binary64))))
(.f64 (/.f64 (sqrt.f64 t) (.f64 (/.f64 z x) (*.f64 y #s(literal 27 binary64)))) #s(literal 3/2 binary64))
(.f64 (/.f64 (sqrt.f64 t) #s(literal 2/3 binary64)) (/.f64 x (.f64 (*.f64 y #s(literal 27 binary64)) z)))
(.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 z #s(literal 2/3 binary64)) x)) (/.f64 #s(literal 1/27 binary64) y))
(.f64 (/.f64 (sqrt.f64 t) #s(literal -1 binary64)) (/.f64 (.f64 x #s(literal 1/9 binary64)) (.f64 (.f64 z #s(literal -2 binary64)) y)))
(.f64 (/.f64 (sqrt.f64 t) #s(literal -2 binary64)) (neg.f64 (/.f64 (.f64 x #s(literal 1/9 binary64)) (*.f64 z y))))
(.f64 (/.f64 (sqrt.f64 t) (neg.f64 z)) (/.f64 (.f64 (/.f64 x y) #s(literal -1/9 binary64)) #s(literal 2 binary64)))
(.f64 (/.f64 (.f64 (/.f64 x y) #s(literal -1/9 binary64)) #s(literal 2 binary64)) (/.f64 (sqrt.f64 t) (neg.f64 z)))
(.f64 (.f64 (/.f64 x z) #s(literal 3/2 binary64)) (/.f64 (sqrt.f64 t) (*.f64 y #s(literal 27 binary64))))
(.f64 (/.f64 (.f64 (/.f64 x y) #s(literal -1/9 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/2 binary64)) z))
(.f64 (.f64 (.f64 #s(literal 3/2 binary64) (/.f64 x (.f64 (*.f64 y #s(literal 27 binary64)) z))) (pow.f64 t #s(literal 1/4 binary64))) (pow.f64 t #s(literal 1/4 binary64)))
(.f64 (.f64 (sqrt.f64 t) #s(literal 3/2 binary64)) (/.f64 x (.f64 (.f64 y #s(literal 27 binary64)) z)))
(.f64 (.f64 (sqrt.f64 t) (/.f64 x (.f64 (.f64 y #s(literal 27 binary64)) z))) #s(literal 3/2 binary64))
(.f64 (.f64 (.f64 (/.f64 (.f64 x #s(literal 1/9 binary64)) y) (sqrt.f64 t)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) z))
(.f64 (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 t)) x) (/.f64 #s(literal 1/27 binary64) (.f64 (*.f64 z #s(literal 2 binary64)) y)))
(.f64 (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 t)) (/.f64 x z)) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 54 binary64) y)))
(.f64 (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 t)) (.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1/27 binary64) (*.f64 z y)))
(.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 t)) z) x) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 54 binary64) y)))
(.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 t)) z) (/.f64 x (.f64 y #s(literal 27 binary64)))) #s(literal 1/2 binary64))
(.f64 (/.f64 (sqrt.f64 t) #s(literal 1 binary64)) (.f64 #s(literal 3/2 binary64) (/.f64 x (.f64 (.f64 y #s(literal 27 binary64)) z))))
(.f64 (/.f64 (sqrt.f64 t) (.f64 z #s(literal -2 binary64))) (*.f64 (/.f64 x y) #s(literal -1/9 binary64)))
(.f64 (/.f64 (sqrt.f64 t) (.f64 z #s(literal 2/3 binary64))) (/.f64 x (*.f64 y #s(literal 27 binary64))))
(.f64 (pow.f64 (/.f64 (.f64 z #s(literal 2 binary64)) (.f64 #s(literal 3 binary64) (.f64 x (sqrt.f64 t)))) #s(literal -1 binary64)) (/.f64 #s(literal 1/27 binary64) y))

simplify357.0ms (1.2%)

Memory

15.5MiB live, 210.8MiB allocated

Algorithm

1×	egg-herbie

Rules

4 146×	`lower-*.f64`
4 146×	`lower-*.f32`
3 464×	`lower-/.f32`
3 464×	`lower-/.f64`
1 210×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	29	1496
1	61	1484
2	190	1476
3	715	1476
4	2529	1476
5	4417	1476
6	6206	1476
0	8065	1476

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

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))))

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

eval134.0ms (0.4%)

Memory: -3.1MiB live, 167.1MiB allocated
Compiler: Compiled 12 388 to 2 567 computations (79.3% saved)

prune118.0ms (0.4%)

Memory

-6.2MiB live, 191.5MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	669	5	674
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	670	5	675

Accuracy

98.5%

Counts

675 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.5%	(/.f64 (.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 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 2 binary64))) #s(literal 1/3 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)))))))
▶	96.5%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (*.f64 z #s(literal 54 binary64)))) #s(literal 3 binary64))))
▶	97.0%	(.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))))
▶	96.5%	(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))))
▶	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))))

Compiler

Compiled 244 to 172 computations (29.5% saved)

simplify259.0ms (0.8%)

Memory

25.8MiB live, 335.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

4 144×	`lower-*.f32`
4 112×	`lower-*.f64`
2 760×	`lower-fma.f32`
2 758×	`lower-fma.f64`
2 018×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	450
0	94	486
1	166	440
2	402	410
3	1170	410
4	2682	410
5	3256	410
6	3520	410
7	3915	410
8	4647	410
9	5404	410
10	6086	410
11	6552	410
12	6644	410
13	6836	410
14	6836	410
15	6846	410
16	6846	410
0	8094	408

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

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

localize318.0ms (1%)

Memory

2.8MiB live, 365.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(.f64 #s(literal 3 binary64) (.f64 x (sqrt.f64 t)))
✓	accuracy	98.6%	(.f64 y (.f64 z #s(literal 54 binary64)))
✓	accuracy	98.5%	(.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 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 2 binary64))) #s(literal 1/3 binary64))
✓	accuracy	86.9%	(/.f64 (.f64 #s(literal 3 binary64) (.f64 x (sqrt.f64 t))) (.f64 y (.f64 z #s(literal 54 binary64))))
✓	accuracy	99.6%	(.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (.f64 z #s(literal 54 binary64)))) #s(literal 3 binary64))
✓	accuracy	98.6%	(.f64 y (.f64 z #s(literal 54 binary64)))
✓	accuracy	98.5%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (*.f64 z #s(literal 54 binary64)))) #s(literal 3 binary64))))
✓	accuracy	86.9%	(/.f64 (.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	95.7%	(.f64 (.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) (sqrt.f64 t))
✓	accuracy	90.6%	(/.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	86.9%	(/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z))
✓	accuracy	99.6%	(.f64 #s(literal 3 binary64) (/.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	95.7%	(.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	93.3%	(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))

Samples

206.0ms

256×

valid

Compiler

Compiled 462 to 54 computations (88.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 86.0ms

ival-mult: 40.0ms (46.4% of total)

ival-div: 18.0ms (20.9% of total)

ival-acos: 11.0ms (12.8% of total)

const: 7.0ms (8.1% of total)

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

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

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

ival-pi: 1.0ms (1.2% of total)

ival-add: 1.0ms (1.2% of total)

ival-sub: 1.0ms (1.2% of total)

exact: 1.0ms (1.2% of total)

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

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

series106.0ms (0.3%)

Memory

-20.1MiB live, 91.5MiB allocated

Counts

26 → 1 044

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

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

261 calls:

Time	Variable		Point	Expression
39.0ms	z	@	-inf	(/ (* (- (* (* (PI) (PI)) 1/4) (pow (asin (/ (* 3 (* x (sqrt t))) (* y (* z 54)))) 2)) 1/3) (+ (* (PI) 1/2) (asin (/ (* 3 (* x (sqrt t))) (* y (* z 54))))))
11.0ms	t	@	0	(* 1/18 (* x (sqrt t)))
3.0ms	x	@	-inf	(* 1/3 (acos (/ (* 1/18 (* x (sqrt t))) (* y z))))
1.0ms	t	@	-inf	(/ (* (- (* (* (PI) (PI)) 1/4) (pow (asin (/ (* 3 (* x (sqrt t))) (* y (* z 54)))) 2)) 1/3) (+ (* (PI) 1/2) (asin (/ (* 3 (* x (sqrt t))) (* y (* z 54))))))
1.0ms	x	@	0	(/ (* (- (* (* (PI) (PI)) 1/4) (pow (asin (/ (* 3 (* x (sqrt t))) (* y (* z 54)))) 2)) 1/3) (+ (* (PI) 1/2) (asin (/ (* 3 (* x (sqrt t))) (* y (* z 54))))))

rewrite506.0ms (1.6%)

Memory

21.9MiB live, 770.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 308×	`lower-fma.f32`
5 306×	`lower-fma.f64`
5 110×	`lower-*.f32`
5 074×	`lower-*.f64`
4 368×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	51	312
0	94	277
1	266	263
2	1622	263
0	8301	263

Stop Event

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

Counts

26 → 1 818

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

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

simplify347.0ms (1.1%)

Memory

-18.4MiB live, 516.0MiB allocated

Algorithm

1×	egg-herbie

Rules

4 808×	`lower-*.f64`
4 808×	`lower-*.f32`
3 212×	`lower-fma.f64`
3 212×	`lower-fma.f32`
1 472×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	12732
1	143	12540
2	427	12492
3	1549	12492
4	3406	12492
5	5931	12492
0	8062	12348

Stop Event

1×	iter limit
1×	node limit

Counts

1 044 → 1 044

Calls

Call 1

Inputs
(* 1/18 (/ x (* y z)))
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(* 1/18 (/ x (* y z)))
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(* 1/9 (/ x y))
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(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(* 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 (* (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)))
(* 1/54 (* (sqrt t) (/ x (* y z))))
(* 1/54 (* (sqrt t) (/ x (* y z))))
(* 1/54 (* (sqrt t) (/ x (* y z))))
(* 1/54 (* (sqrt t) (/ x (* y z))))
(* 1/54 (* (sqrt t) (/ x (* y z))))
(* 1/54 (* (sqrt t) (/ x (* y z))))
(* 1/54 (* (sqrt t) (/ x (* y z))))
(* 1/54 (* (sqrt t) (/ x (* y z))))
(* 1/54 (* (sqrt t) (/ x (* y z))))
(* 1/54 (* (sqrt t) (/ x (* y z))))
(* 1/54 (* (sqrt t) (/ x (* y z))))
(* 1/54 (* (sqrt t) (/ x (* y z))))
(* 1/54 (* (sqrt t) (/ x (* y z))))
(* 1/54 (* (sqrt t) (/ x (* y z))))
(* 1/54 (* (sqrt t) (/ x (* y z))))
(* 1/54 (* (sqrt t) (/ x (* y z))))
(* 1/54 (* (sqrt t) (/ x (* y z))))
(* 1/54 (* (sqrt t) (/ x (* y z))))
(* 1/54 (* (sqrt t) (/ x (* y z))))
(* 1/54 (* (sqrt t) (/ x (* y z))))
(* -1/54 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* -1/54 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* -1/54 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* -1/54 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* 1/54 (* (sqrt t) (/ x (* y z))))
(* 1/54 (* (sqrt t) (/ x (* y z))))
(* 1/54 (* (sqrt t) (/ x (* y z))))
(* 1/54 (* (sqrt t) (/ x (* y z))))
(* 1/54 (* (sqrt t) (/ x (* y z))))
(* 1/54 (* (sqrt t) (/ x (* y z))))
(* 1/54 (* (sqrt t) (/ x (* y z))))
(* 1/54 (* (sqrt t) (/ x (* y z))))
(* 1/54 (* (sqrt t) (/ x (* y z))))
(* 1/54 (* (sqrt t) (/ x (* y z))))
(* 1/54 (* (sqrt t) (/ x (* y z))))
(* 1/54 (* (sqrt t) (/ x (* y z))))
(* 1/54 (* (sqrt t) (/ x (* y z))))
(* 1/54 (* (sqrt t) (/ x (* y z))))
(* 1/54 (* (sqrt t) (/ x (* y z))))
(* 1/54 (* (sqrt t) (/ x (* y z))))
(* 1/54 (* (sqrt t) (/ x (* y z))))
(* 1/54 (* (sqrt t) (/ x (* y z))))
(* 1/54 (* (sqrt t) (/ x (* y z))))
(* 1/54 (* (sqrt t) (/ x (* y z))))
(* 1/54 (* (sqrt t) (/ x (* y z))))
(* 1/54 (* (sqrt t) (/ x (* y z))))
(* 1/54 (* (sqrt t) (/ x (* y z))))
(* 1/54 (* (sqrt t) (/ 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))
(* 3 (* (sqrt t) x))
(* 3 (* (sqrt t) x))
(* 3 (* (sqrt t) x))
(* 3 (* (sqrt t) x))
(* 3 (* (sqrt t) x))
(* 3 (* (sqrt t) x))
(* 3 (* (sqrt t) x))
(* 3 (* (sqrt t) x))
(* 3 (* (sqrt t) x))
(* 3 (* (sqrt t) x))
(* 3 (* (sqrt t) x))
(* 3 (* (sqrt t) x))
(* 3 (* (sqrt t) x))
(* 3 (* (sqrt t) x))
(* 3 (* (sqrt t) x))
(* 3 (* (sqrt t) x))
(* 3 (* (sqrt t) x))
(* 3 (* (sqrt t) x))
(* 3 (* (sqrt t) x))
(* 3 (* (sqrt t) x))
(* -3 (* (sqrt t) (* x (pow (sqrt -1) 2))))
(* -3 (* (sqrt t) (* x (pow (sqrt -1) 2))))
(* -3 (* (sqrt t) (* x (pow (sqrt -1) 2))))
(* -3 (* (sqrt t) (* x (pow (sqrt -1) 2))))

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))))))
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(.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)))
(* 1/54 (* (sqrt t) (/ x (* y z))))
(/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/54 binary64))) (*.f64 y z))
(* 1/54 (* (sqrt t) (/ x (* y z))))
(/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/54 binary64))) (*.f64 y z))
(* 1/54 (* (sqrt t) (/ x (* y z))))
(/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/54 binary64))) (*.f64 y z))
(* 1/54 (* (sqrt t) (/ x (* y z))))
(/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/54 binary64))) (*.f64 y z))
(* 1/54 (* (sqrt t) (/ x (* y z))))
(/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/54 binary64))) (*.f64 y z))
(* 1/54 (* (sqrt t) (/ x (* y z))))
(/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/54 binary64))) (*.f64 y z))
(* 1/54 (* (sqrt t) (/ x (* y z))))
(/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/54 binary64))) (*.f64 y z))
(* 1/54 (* (sqrt t) (/ x (* y z))))
(/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/54 binary64))) (*.f64 y z))
(* 1/54 (* (sqrt t) (/ x (* y z))))
(/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/54 binary64))) (*.f64 y z))
(* 1/54 (* (sqrt t) (/ x (* y z))))
(/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/54 binary64))) (*.f64 y z))
(* 1/54 (* (sqrt t) (/ x (* y z))))
(/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/54 binary64))) (*.f64 y z))
(* 1/54 (* (sqrt t) (/ x (* y z))))
(/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/54 binary64))) (*.f64 y z))
(* 1/54 (* (sqrt t) (/ x (* y z))))
(/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/54 binary64))) (*.f64 y z))
(* 1/54 (* (sqrt t) (/ x (* y z))))
(/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/54 binary64))) (*.f64 y z))
(* 1/54 (* (sqrt t) (/ x (* y z))))
(/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/54 binary64))) (*.f64 y z))
(* 1/54 (* (sqrt t) (/ x (* y z))))
(/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/54 binary64))) (*.f64 y z))
(* 1/54 (* (sqrt t) (/ x (* y z))))
(/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/54 binary64))) (*.f64 y z))
(* 1/54 (* (sqrt t) (/ x (* y z))))
(/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/54 binary64))) (*.f64 y z))
(* 1/54 (* (sqrt t) (/ x (* y z))))
(/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/54 binary64))) (*.f64 y z))
(* 1/54 (* (sqrt t) (/ x (* y z))))
(/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/54 binary64))) (*.f64 y z))
(* -1/54 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/54 binary64))) (*.f64 y z))
(* -1/54 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/54 binary64))) (*.f64 y z))
(* -1/54 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/54 binary64))) (*.f64 y z))
(* -1/54 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/54 binary64))) (*.f64 y z))
(* 1/54 (* (sqrt t) (/ x (* y z))))
(/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/54 binary64))) (*.f64 y z))
(* 1/54 (* (sqrt t) (/ x (* y z))))
(/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/54 binary64))) (*.f64 y z))
(* 1/54 (* (sqrt t) (/ x (* y z))))
(/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/54 binary64))) (*.f64 y z))
(* 1/54 (* (sqrt t) (/ x (* y z))))
(/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/54 binary64))) (*.f64 y z))
(* 1/54 (* (sqrt t) (/ x (* y z))))
(/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/54 binary64))) (*.f64 y z))
(* 1/54 (* (sqrt t) (/ x (* y z))))
(/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/54 binary64))) (*.f64 y z))
(* 1/54 (* (sqrt t) (/ x (* y z))))
(/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/54 binary64))) (*.f64 y z))
(* 1/54 (* (sqrt t) (/ x (* y z))))
(/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/54 binary64))) (*.f64 y z))
(* 1/54 (* (sqrt t) (/ x (* y z))))
(/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/54 binary64))) (*.f64 y z))
(* 1/54 (* (sqrt t) (/ x (* y z))))
(/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/54 binary64))) (*.f64 y z))
(* 1/54 (* (sqrt t) (/ x (* y z))))
(/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/54 binary64))) (*.f64 y z))
(* 1/54 (* (sqrt t) (/ x (* y z))))
(/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/54 binary64))) (*.f64 y z))
(* 1/54 (* (sqrt t) (/ x (* y z))))
(/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/54 binary64))) (*.f64 y z))
(* 1/54 (* (sqrt t) (/ x (* y z))))
(/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/54 binary64))) (*.f64 y z))
(* 1/54 (* (sqrt t) (/ x (* y z))))
(/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/54 binary64))) (*.f64 y z))
(* 1/54 (* (sqrt t) (/ x (* y z))))
(/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/54 binary64))) (*.f64 y z))
(* 1/54 (* (sqrt t) (/ x (* y z))))
(/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/54 binary64))) (*.f64 y z))
(* 1/54 (* (sqrt t) (/ x (* y z))))
(/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/54 binary64))) (*.f64 y z))
(* 1/54 (* (sqrt t) (/ x (* y z))))
(/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/54 binary64))) (*.f64 y z))
(* 1/54 (* (sqrt t) (/ x (* y z))))
(/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/54 binary64))) (*.f64 y z))
(* 1/54 (* (sqrt t) (/ x (* y z))))
(/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/54 binary64))) (*.f64 y z))
(* 1/54 (* (sqrt t) (/ x (* y z))))
(/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/54 binary64))) (*.f64 y z))
(* 1/54 (* (sqrt t) (/ x (* y z))))
(/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/54 binary64))) (*.f64 y z))
(* 1/54 (* (sqrt t) (/ x (* y z))))
(/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/54 binary64))) (*.f64 y z))
(* 54 (* y z))
(.f64 (.f64 y z) #s(literal 54 binary64))
(* 54 (* y z))
(.f64 (.f64 y z) #s(literal 54 binary64))
(* 54 (* y z))
(.f64 (.f64 y z) #s(literal 54 binary64))
(* 54 (* y z))
(.f64 (.f64 y z) #s(literal 54 binary64))
(* 54 (* y z))
(.f64 (.f64 y z) #s(literal 54 binary64))
(* 54 (* y z))
(.f64 (.f64 y z) #s(literal 54 binary64))
(* 54 (* y z))
(.f64 (.f64 y z) #s(literal 54 binary64))
(* 54 (* y z))
(.f64 (.f64 y z) #s(literal 54 binary64))
(* 54 (* y z))
(.f64 (.f64 y z) #s(literal 54 binary64))
(* 54 (* y z))
(.f64 (.f64 y z) #s(literal 54 binary64))
(* 54 (* y z))
(.f64 (.f64 y z) #s(literal 54 binary64))
(* 54 (* y z))
(.f64 (.f64 y z) #s(literal 54 binary64))
(* 54 (* y z))
(.f64 (.f64 y z) #s(literal 54 binary64))
(* 54 (* y z))
(.f64 (.f64 y z) #s(literal 54 binary64))
(* 54 (* y z))
(.f64 (.f64 y z) #s(literal 54 binary64))
(* 54 (* y z))
(.f64 (.f64 y z) #s(literal 54 binary64))
(* 54 (* y z))
(.f64 (.f64 y z) #s(literal 54 binary64))
(* 54 (* y z))
(.f64 (.f64 y z) #s(literal 54 binary64))
(* 54 (* y z))
(.f64 (.f64 y z) #s(literal 54 binary64))
(* 54 (* y z))
(.f64 (.f64 y z) #s(literal 54 binary64))
(* 54 (* y z))
(.f64 (.f64 y z) #s(literal 54 binary64))
(* 54 (* y z))
(.f64 (.f64 y z) #s(literal 54 binary64))
(* 54 (* y z))
(.f64 (.f64 y z) #s(literal 54 binary64))
(* 54 (* y z))
(.f64 (.f64 y z) #s(literal 54 binary64))
(* 3 (* (sqrt t) x))
(.f64 x (.f64 (sqrt.f64 t) #s(literal 3 binary64)))
(* 3 (* (sqrt t) x))
(.f64 x (.f64 (sqrt.f64 t) #s(literal 3 binary64)))
(* 3 (* (sqrt t) x))
(.f64 x (.f64 (sqrt.f64 t) #s(literal 3 binary64)))
(* 3 (* (sqrt t) x))
(.f64 x (.f64 (sqrt.f64 t) #s(literal 3 binary64)))
(* 3 (* (sqrt t) x))
(.f64 x (.f64 (sqrt.f64 t) #s(literal 3 binary64)))
(* 3 (* (sqrt t) x))
(.f64 x (.f64 (sqrt.f64 t) #s(literal 3 binary64)))
(* 3 (* (sqrt t) x))
(.f64 x (.f64 (sqrt.f64 t) #s(literal 3 binary64)))
(* 3 (* (sqrt t) x))
(.f64 x (.f64 (sqrt.f64 t) #s(literal 3 binary64)))
(* 3 (* (sqrt t) x))
(.f64 x (.f64 (sqrt.f64 t) #s(literal 3 binary64)))
(* 3 (* (sqrt t) x))
(.f64 x (.f64 (sqrt.f64 t) #s(literal 3 binary64)))
(* 3 (* (sqrt t) x))
(.f64 x (.f64 (sqrt.f64 t) #s(literal 3 binary64)))
(* 3 (* (sqrt t) x))
(.f64 x (.f64 (sqrt.f64 t) #s(literal 3 binary64)))
(* 3 (* (sqrt t) x))
(.f64 x (.f64 (sqrt.f64 t) #s(literal 3 binary64)))
(* 3 (* (sqrt t) x))
(.f64 x (.f64 (sqrt.f64 t) #s(literal 3 binary64)))
(* 3 (* (sqrt t) x))
(.f64 x (.f64 (sqrt.f64 t) #s(literal 3 binary64)))
(* 3 (* (sqrt t) x))
(.f64 x (.f64 (sqrt.f64 t) #s(literal 3 binary64)))
(* 3 (* (sqrt t) x))
(.f64 x (.f64 (sqrt.f64 t) #s(literal 3 binary64)))
(* 3 (* (sqrt t) x))
(.f64 x (.f64 (sqrt.f64 t) #s(literal 3 binary64)))
(* 3 (* (sqrt t) x))
(.f64 x (.f64 (sqrt.f64 t) #s(literal 3 binary64)))
(* 3 (* (sqrt t) x))
(.f64 x (.f64 (sqrt.f64 t) #s(literal 3 binary64)))
(* -3 (* (sqrt t) (* x (pow (sqrt -1) 2))))
(.f64 x (.f64 (sqrt.f64 t) #s(literal 3 binary64)))
(* -3 (* (sqrt t) (* x (pow (sqrt -1) 2))))
(.f64 x (.f64 (sqrt.f64 t) #s(literal 3 binary64)))
(* -3 (* (sqrt t) (* x (pow (sqrt -1) 2))))
(.f64 x (.f64 (sqrt.f64 t) #s(literal 3 binary64)))
(* -3 (* (sqrt t) (* x (pow (sqrt -1) 2))))
(.f64 x (.f64 (sqrt.f64 t) #s(literal 3 binary64)))

eval7.8s (25.2%)

Memory: 38.8MiB live, 1 059.9MiB allocated
Compiler: Compiled 103 204 to 5 752 computations (94.4% saved)

prune382.0ms (1.2%)

Memory

-15.9MiB live, 541.0MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	3 313	8	3 321
Fresh	0	0	0
Picked	5	0	5
Done	0	0	0
Total	3 318	8	3 326

Accuracy

100.0%

Counts

3 326 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.5%	(/.f64 (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64) (.f64 (pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))) #s(literal 2 binary64)) #s(literal -1/3 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z)))))
▶	96.6%	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (.f64 y #s(literal 18 binary64)) z))) #s(literal 2 binary64))) (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (*.f64 y #s(literal 18 binary64)) z)))) #s(literal 3 binary64)))
▶	98.0%	(/.f64 (.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64))) (pow.f64 (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (.f64 y #s(literal 18 binary64)) z))) #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (.f64 y #s(literal 18 binary64)) z))) #s(literal 2 binary64))) (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (*.f64 y #s(literal 18 binary64)) z)))) #s(literal 3 binary64))))
	96.5%	(/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (*.f64 y #s(literal 18 binary64)) z)))))
	96.5%	(.f64 (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (.f64 y #s(literal 18 binary64)) z))) #s(literal 1/3 binary64))
▶	96.5%	(.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (.f64 y #s(literal 18 binary64)) z))))))
▶	96.9%	(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (/.f64 (sqrt.f64 t) y))))
▶	97.0%	(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 x (.f64 (.f64 y #s(literal 18 binary64)) z)) (sqrt.f64 t))))

Compiler

Compiled 470 to 294 computations (37.4% saved)

simplify520.0ms (1.7%)

Memory

17.8MiB live, 754.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 (PI.f64) (PI.f64))
✓	cost-diff	0	(.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
✓	cost-diff	0	(-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (*.f64 y #s(literal 18 binary64)) z))) #s(literal 2 binary64)))
✓	cost-diff	128	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (.f64 y #s(literal 18 binary64)) z))) #s(literal 2 binary64))) (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (*.f64 y #s(literal 18 binary64)) z)))) #s(literal 3 binary64)))
✓	cost-diff	0	(acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (*.f64 y #s(literal 18 binary64)) z)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (*.f64 y #s(literal 18 binary64)) z))))
✓	cost-diff	0	(.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (.f64 y #s(literal 18 binary64)) z))))))
✓	cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (*.f64 y #s(literal 18 binary64)) z)))))
✓	cost-diff	0	(/.f64 (*.f64 x #s(literal 1/18 binary64)) z)
✓	cost-diff	0	(acos.f64 (.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) z) (/.f64 (sqrt.f64 t) y)))
✓	cost-diff	0	(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (/.f64 (sqrt.f64 t) y))))
✓	cost-diff	384	(.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) z) (/.f64 (sqrt.f64 t) y))
✓	cost-diff	0	(/.f64 x (.f64 (.f64 y #s(literal 18 binary64)) z))
✓	cost-diff	0	(.f64 (/.f64 x (.f64 (*.f64 y #s(literal 18 binary64)) z)) (sqrt.f64 t))
✓	cost-diff	0	(acos.f64 (.f64 (/.f64 x (.f64 (*.f64 y #s(literal 18 binary64)) z)) (sqrt.f64 t)))
✓	cost-diff	0	(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 x (.f64 (.f64 y #s(literal 18 binary64)) z)) (sqrt.f64 t))))
✓	cost-diff	0	(.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)))
✓	cost-diff	0	(-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64))) (pow.f64 (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (*.f64 y #s(literal 18 binary64)) z))) #s(literal 4 binary64)))
✓	cost-diff	128	(/.f64 (.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64))) (pow.f64 (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (.f64 y #s(literal 18 binary64)) z))) #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (.f64 y #s(literal 18 binary64)) z))) #s(literal 2 binary64))) (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (*.f64 y #s(literal 18 binary64)) z)))) #s(literal 3 binary64))))
✓	cost-diff	320	(.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64))) (pow.f64 (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (.f64 y #s(literal 18 binary64)) z))) #s(literal 4 binary64))) #s(literal 1 binary64))

Rules

19 050×	`lower-fma.f32`
19 046×	`lower-fma.f64`
6 478×	`lower-*.f32`
6 446×	`lower-*.f64`
2 964×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	635
0	90	623
1	162	623
2	380	615
3	1099	607
4	3192	607
5	4890	607
0	8384	605

Stop Event

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

Calls

Call 1

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

Outputs
(/.f64 (.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64))) (pow.f64 (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (.f64 y #s(literal 18 binary64)) z))) #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (.f64 y #s(literal 18 binary64)) z))) #s(literal 2 binary64))) (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (*.f64 y #s(literal 18 binary64)) z)))) #s(literal 3 binary64))))
(/.f64 (fma.f64 (pow.f64 (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 #s(literal 18 binary64) (.f64 y z)))) #s(literal 4 binary64)) #s(literal -1/3 binary64) (.f64 (PI.f64) (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/48 binary64))))) (.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 #s(literal 18 binary64) (.f64 y z)))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 #s(literal 18 binary64) (*.f64 y z)))))))
(.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64))) (pow.f64 (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (.f64 y #s(literal 18 binary64)) z))) #s(literal 4 binary64))) #s(literal 1 binary64))
(-.f64 (.f64 #s(literal 1/16 binary64) (.f64 (PI.f64) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))))) (pow.f64 (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 #s(literal 18 binary64) (*.f64 y z)))) #s(literal 4 binary64)))
(-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64))) (pow.f64 (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (*.f64 y #s(literal 18 binary64)) z))) #s(literal 4 binary64)))
(-.f64 (.f64 #s(literal 1/16 binary64) (.f64 (PI.f64) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))))) (pow.f64 (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 #s(literal 18 binary64) (*.f64 y z)))) #s(literal 4 binary64)))
(.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)))
(.f64 #s(literal 1/16 binary64) (.f64 (PI.f64) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))))
(*.f64 (PI.f64) (PI.f64))
(PI.f64)
(.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64))
(.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/16 binary64)))
#s(literal 1/16 binary64)
(pow.f64 (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (*.f64 y #s(literal 18 binary64)) z))) #s(literal 4 binary64))
(pow.f64 (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 #s(literal 18 binary64) (*.f64 y z)))) #s(literal 4 binary64))
(asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (*.f64 y #s(literal 18 binary64)) z)))
(asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 #s(literal 18 binary64) (*.f64 y z))))
(/.f64 (.f64 x (sqrt.f64 t)) (.f64 (*.f64 y #s(literal 18 binary64)) z))
(/.f64 (.f64 x (sqrt.f64 t)) (.f64 #s(literal 18 binary64) (*.f64 y z)))
(*.f64 x (sqrt.f64 t))
x
(sqrt.f64 t)
t
(.f64 (.f64 y #s(literal 18 binary64)) z)
(.f64 #s(literal 18 binary64) (.f64 y z))
(*.f64 y #s(literal 18 binary64))
y
#s(literal 18 binary64)
z
#s(literal 4 binary64)
#s(literal 1 binary64)
(.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (.f64 y #s(literal 18 binary64)) z))) #s(literal 2 binary64))) (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (*.f64 y #s(literal 18 binary64)) z)))) #s(literal 3 binary64)))
(.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 #s(literal 18 binary64) (.f64 y z)))) #s(literal 2 binary64))) (fma.f64 (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 #s(literal 18 binary64) (.f64 y z)))) #s(literal 3 binary64) (*.f64 (PI.f64) #s(literal 3/2 binary64))))
(fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (.f64 y #s(literal 18 binary64)) z))) #s(literal 2 binary64)))
(fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 #s(literal 18 binary64) (.f64 y z)))) #s(literal 2 binary64)))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(pow.f64 (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (*.f64 y #s(literal 18 binary64)) z))) #s(literal 2 binary64))
(pow.f64 (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 #s(literal 18 binary64) (*.f64 y z)))) #s(literal 2 binary64))
#s(literal 2 binary64)
(.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (.f64 y #s(literal 18 binary64)) z)))) #s(literal 3 binary64))
(fma.f64 (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 #s(literal 18 binary64) (.f64 y z)))) #s(literal 3 binary64) (.f64 (PI.f64) #s(literal 3/2 binary64)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (*.f64 y #s(literal 18 binary64)) z))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 #s(literal 18 binary64) (*.f64 y z)))))
#s(literal 1/2 binary64)
#s(literal 3 binary64)
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 x (.f64 (.f64 y #s(literal 18 binary64)) z)) (sqrt.f64 t))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 #s(literal 18 binary64) (.f64 y z)))))
#s(literal 1/3 binary64)
(acos.f64 (.f64 (/.f64 x (.f64 (*.f64 y #s(literal 18 binary64)) z)) (sqrt.f64 t)))
(acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 #s(literal 18 binary64) (*.f64 y z))))
(.f64 (/.f64 x (.f64 (*.f64 y #s(literal 18 binary64)) z)) (sqrt.f64 t))
(/.f64 (.f64 x (sqrt.f64 t)) (.f64 #s(literal 18 binary64) (*.f64 y z)))
(/.f64 x (.f64 (.f64 y #s(literal 18 binary64)) z))
(/.f64 x (.f64 #s(literal 18 binary64) (.f64 y z)))
x
(.f64 (.f64 y #s(literal 18 binary64)) z)
(.f64 #s(literal 18 binary64) (.f64 y z))
(*.f64 y #s(literal 18 binary64))
y
#s(literal 18 binary64)
z
(sqrt.f64 t)
t
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (/.f64 (sqrt.f64 t) y))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))))
#s(literal 1/3 binary64)
(acos.f64 (.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) z) (/.f64 (sqrt.f64 t) y)))
(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)) z) (/.f64 (sqrt.f64 t) y))
(/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))
(/.f64 (*.f64 x #s(literal 1/18 binary64)) z)
(*.f64 x #s(literal 1/18 binary64))
x
#s(literal 1/18 binary64)
z
(/.f64 (sqrt.f64 t) y)
(sqrt.f64 t)
t
y
(.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (.f64 y #s(literal 18 binary64)) z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 #s(literal 18 binary64) (.f64 y z)))))
#s(literal 1/3 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (*.f64 y #s(literal 18 binary64)) z)))))
(acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 #s(literal 18 binary64) (*.f64 y z))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (*.f64 y #s(literal 18 binary64)) z))))
(/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 #s(literal 18 binary64) (*.f64 y z)))))
(acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (*.f64 y #s(literal 18 binary64)) z)))
(acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 #s(literal 18 binary64) (*.f64 y z))))
(/.f64 (.f64 x (sqrt.f64 t)) (.f64 (*.f64 y #s(literal 18 binary64)) z))
(/.f64 (.f64 x (sqrt.f64 t)) (.f64 #s(literal 18 binary64) (*.f64 y z)))
(*.f64 x (sqrt.f64 t))
x
(sqrt.f64 t)
t
(.f64 (.f64 y #s(literal 18 binary64)) z)
(.f64 #s(literal 18 binary64) (.f64 y z))
(*.f64 y #s(literal 18 binary64))
y
#s(literal 18 binary64)
z
(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (.f64 y #s(literal 18 binary64)) z))) #s(literal 2 binary64))) (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (*.f64 y #s(literal 18 binary64)) z)))) #s(literal 3 binary64)))
(/.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal -1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 #s(literal 18 binary64) (.f64 y z)))) #s(literal 2 binary64))) (fma.f64 (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 #s(literal 18 binary64) (.f64 y z)))) #s(literal -3 binary64) (.f64 (PI.f64) #s(literal -3/2 binary64))))
(-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (*.f64 y #s(literal 18 binary64)) z))) #s(literal 2 binary64)))
(-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 #s(literal 18 binary64) (*.f64 y z)))) #s(literal 2 binary64)))
(.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
(*.f64 (PI.f64) (PI.f64))
(PI.f64)
#s(literal 1/4 binary64)
(pow.f64 (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (*.f64 y #s(literal 18 binary64)) z))) #s(literal 2 binary64))
(pow.f64 (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 #s(literal 18 binary64) (*.f64 y z)))) #s(literal 2 binary64))
(asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (*.f64 y #s(literal 18 binary64)) z)))
(asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 #s(literal 18 binary64) (*.f64 y z))))
(/.f64 (.f64 x (sqrt.f64 t)) (.f64 (*.f64 y #s(literal 18 binary64)) z))
(/.f64 (.f64 x (sqrt.f64 t)) (.f64 #s(literal 18 binary64) (*.f64 y z)))
(*.f64 x (sqrt.f64 t))
x
(sqrt.f64 t)
t
(.f64 (.f64 y #s(literal 18 binary64)) z)
(.f64 #s(literal 18 binary64) (.f64 y z))
(*.f64 y #s(literal 18 binary64))
y
#s(literal 18 binary64)
z
#s(literal 2 binary64)
(.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (.f64 y #s(literal 18 binary64)) z)))) #s(literal 3 binary64))
(fma.f64 (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 #s(literal 18 binary64) (.f64 y z)))) #s(literal 3 binary64) (.f64 (PI.f64) #s(literal 3/2 binary64)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (*.f64 y #s(literal 18 binary64)) z))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 #s(literal 18 binary64) (*.f64 y z)))))
#s(literal 1/2 binary64)
#s(literal 3 binary64)

localize244.0ms (0.8%)

Memory

-12.1MiB live, 433.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(.f64 (.f64 y #s(literal 18 binary64)) z)
✓	accuracy	99.6%	(*.f64 x (sqrt.f64 t))
✓	accuracy	98.5%	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (.f64 y #s(literal 18 binary64)) z))) #s(literal 2 binary64))) (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (*.f64 y #s(literal 18 binary64)) z)))) #s(literal 3 binary64)))
✓	accuracy	86.8%	(/.f64 (.f64 x (sqrt.f64 t)) (.f64 (*.f64 y #s(literal 18 binary64)) z))
✓	accuracy	99.7%	(.f64 (.f64 y #s(literal 18 binary64)) z)
✓	accuracy	99.6%	(*.f64 x (sqrt.f64 t))
✓	accuracy	98.5%	(.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (.f64 y #s(literal 18 binary64)) z))))))
✓	accuracy	86.8%	(/.f64 (.f64 x (sqrt.f64 t)) (.f64 (*.f64 y #s(literal 18 binary64)) z))
✓	accuracy	99.6%	(/.f64 (sqrt.f64 t) y)
✓	accuracy	99.4%	(*.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)) z) (/.f64 (sqrt.f64 t) y))))
✓	accuracy	85.3%	(.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) z) (/.f64 (sqrt.f64 t) y))
✓	accuracy	99.7%	(.f64 (.f64 y #s(literal 18 binary64)) z)
✓	accuracy	98.5%	(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 x (.f64 (.f64 y #s(literal 18 binary64)) z)) (sqrt.f64 t))))
✓	accuracy	95.7%	(.f64 (/.f64 x (.f64 (*.f64 y #s(literal 18 binary64)) z)) (sqrt.f64 t))
✓	accuracy	90.6%	(/.f64 x (.f64 (.f64 y #s(literal 18 binary64)) z))
✓	accuracy	99.6%	(*.f64 x (sqrt.f64 t))
✓	accuracy	98.5%	(.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (.f64 y #s(literal 18 binary64)) z))) #s(literal 2 binary64))) (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (*.f64 y #s(literal 18 binary64)) z)))) #s(literal 3 binary64)))
✓	accuracy	98.4%	(.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)))
✓	accuracy	86.8%	(/.f64 (.f64 x (sqrt.f64 t)) (.f64 (*.f64 y #s(literal 18 binary64)) z))

Samples

134.0ms

256×

valid

Compiler

Compiled 647 to 55 computations (91.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 101.0ms

ival-div: 40.0ms (39.8% of total)

ival-mult: 29.0ms (28.8% of total)

ival-acos: 7.0ms (7% of total)

const: 6.0ms (6% of total)

ival-pow2: 4.0ms (4% of total)

ival-pow: 4.0ms (4% of total)

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

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

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

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

ival-pi: 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)

series83.0ms (0.3%)

Memory

8.5MiB live, 123.4MiB allocated

Counts

26 → 960

Calls

Call 1

Inputs
#<alt (.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64))) (pow.f64 (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (.f64 y #s(literal 18 binary64)) z))) #s(literal 4 binary64))) #s(literal 1 binary64))>
#<alt (/.f64 (.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64))) (pow.f64 (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (.f64 y #s(literal 18 binary64)) z))) #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (.f64 y #s(literal 18 binary64)) z))) #s(literal 2 binary64))) (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (*.f64 y #s(literal 18 binary64)) z)))) #s(literal 3 binary64))))>
#<alt (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64))) (pow.f64 (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (*.f64 y #s(literal 18 binary64)) z))) #s(literal 4 binary64)))>
#<alt (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)))>
#<alt (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 x (.f64 (.f64 y #s(literal 18 binary64)) z)) (sqrt.f64 t))))>
#<alt (acos.f64 (.f64 (/.f64 x (.f64 (*.f64 y #s(literal 18 binary64)) z)) (sqrt.f64 t)))>
#<alt (.f64 (/.f64 x (.f64 (*.f64 y #s(literal 18 binary64)) z)) (sqrt.f64 t))>
#<alt (/.f64 x (.f64 (.f64 y #s(literal 18 binary64)) z))>
#<alt (.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) z) (/.f64 (sqrt.f64 t) y))>
#<alt (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (/.f64 (sqrt.f64 t) y))))>
#<alt (acos.f64 (.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) z) (/.f64 (sqrt.f64 t) y)))>
#<alt (/.f64 (*.f64 x #s(literal 1/18 binary64)) z)>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (*.f64 y #s(literal 18 binary64)) z)))))>
#<alt (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (.f64 y #s(literal 18 binary64)) z))))))>
#<alt (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (*.f64 y #s(literal 18 binary64)) z))))>
#<alt (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (*.f64 y #s(literal 18 binary64)) z)))>
#<alt (/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (.f64 y #s(literal 18 binary64)) z))) #s(literal 2 binary64))) (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (*.f64 y #s(literal 18 binary64)) z)))) #s(literal 3 binary64)))>
#<alt (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (*.f64 y #s(literal 18 binary64)) z))) #s(literal 2 binary64)))>
#<alt (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))>
#<alt (*.f64 (PI.f64) (PI.f64))>
#<alt (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (*.f64 y #s(literal 18 binary64)) z))>
#<alt (.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (.f64 y #s(literal 18 binary64)) z))) #s(literal 2 binary64))) (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (*.f64 y #s(literal 18 binary64)) z)))) #s(literal 3 binary64)))>
#<alt (*.f64 x (sqrt.f64 t))>
#<alt (.f64 (.f64 y #s(literal 18 binary64)) z)>
#<alt (*.f64 x #s(literal 1/18 binary64))>
#<alt (/.f64 (sqrt.f64 t) y)>

Outputs
#<alt (- (* 1/16 (pow (PI) 4)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 4))>
#<alt (- (* 1/16 (pow (PI) 4)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 4))>
#<alt (- (* 1/16 (pow (PI) 4)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 4))>
#<alt (- (* 1/16 (pow (PI) 4)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 4))>
#<alt (- (* 1/16 (pow (PI) 4)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 4))>
#<alt (- (* 1/16 (pow (PI) 4)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 4))>
#<alt (- (* 1/16 (pow (PI) 4)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 4))>
#<alt (- (* 1/16 (pow (PI) 4)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 4))>
#<alt (- (* 1/16 (pow (PI) 4)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 4))>
#<alt (- (* 1/16 (pow (PI) 4)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 4))>
#<alt (- (* 1/16 (pow (PI) 4)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 4))>
#<alt (- (* 1/16 (pow (PI) 4)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 4))>
#<alt (- (* 1/16 (pow (PI) 4)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 4))>
#<alt (- (* 1/16 (pow (PI) 4)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 4))>
#<alt (- (* 1/16 (pow (PI) 4)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 4))>
#<alt (- (* 1/16 (pow (PI) 4)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 4))>
#<alt (- (* 1/16 (pow (PI) 4)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 4))>
#<alt (- (* 1/16 (pow (PI) 4)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 4))>
#<alt (- (* 1/16 (pow (PI) 4)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 4))>
#<alt (- (* 1/16 (pow (PI) 4)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 4))>
#<alt (- (* 1/16 (pow (PI) 4)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 4))>
#<alt (- (* 1/16 (pow (PI) 4)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 4))>
#<alt (- (* 1/16 (pow (PI) 4)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 4))>
#<alt (- (* 1/16 (pow (PI) 4)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 4))>
#<alt (- (* 1/16 (pow (PI) 4)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 4))>
#<alt (- (* 1/16 (pow (PI) 4)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 4))>
#<alt (- (* 1/16 (pow (PI) 4)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 4))>
#<alt (- (* 1/16 (pow (PI) 4)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 4))>
#<alt (- (* 1/16 (pow (PI) 4)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 4))>
#<alt (- (* 1/16 (pow (PI) 4)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 4))>
#<alt (- (* 1/16 (pow (PI) 4)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 4))>
#<alt (- (* 1/16 (pow (PI) 4)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 4))>
#<alt (- (* 1/16 (pow (PI) 4)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 4))>
#<alt (- (* 1/16 (pow (PI) 4)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 4))>
#<alt (- (* 1/16 (pow (PI) 4)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 4))>
#<alt (- (* 1/16 (pow (PI) 4)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 4))>
#<alt (- (* 1/16 (pow (PI) 4)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 4))>
#<alt (- (* 1/16 (pow (PI) 4)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 4))>
#<alt (- (* 1/16 (pow (PI) 4)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 4))>
#<alt (- (* 1/16 (pow (PI) 4)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 4))>
#<alt (- (* 1/16 (pow (PI) 4)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 4))>
#<alt (- (* 1/16 (pow (PI) 4)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 4))>
#<alt (- (* 1/16 (pow (PI) 4)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 4))>
#<alt (- (* 1/16 (pow (PI) 4)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 4))>
#<alt (- (* 1/16 (pow (PI) 4)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 4))>
#<alt (- (* 1/16 (pow (PI) 4)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 4))>
#<alt (- (* 1/16 (pow (PI) 4)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 4))>
#<alt (- (* 1/16 (pow (PI) 4)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 4))>
#<alt (* 1/3 (/ (- (* 1/16 (pow (PI) 4)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 4)) (* (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))>
#<alt (* 1/3 (/ (- (* 1/16 (pow (PI) 4)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 4)) (* (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))>
#<alt (* 1/3 (/ (- (* 1/16 (pow (PI) 4)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 4)) (* (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))>
#<alt (* 1/3 (/ (- (* 1/16 (pow (PI) 4)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 4)) (* (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))>
#<alt (* 1/3 (/ (- (* 1/16 (pow (PI) 4)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 4)) (* (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))>
#<alt (* 1/3 (/ (- (* 1/16 (pow (PI) 4)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 4)) (* (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))>
#<alt (* 1/3 (/ (- (* 1/16 (pow (PI) 4)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 4)) (* (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))>
#<alt (* 1/3 (/ (- (* 1/16 (pow (PI) 4)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 4)) (* (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))>
#<alt (* 1/3 (/ (- (* 1/16 (pow (PI) 4)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 4)) (* (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))>
#<alt (* 1/3 (/ (- (* 1/16 (pow (PI) 4)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 4)) (* (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))>
#<alt (* 1/3 (/ (- (* 1/16 (pow (PI) 4)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 4)) (* (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))>
#<alt (* 1/3 (/ (- (* 1/16 (pow (PI) 4)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 4)) (* (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))>
#<alt (* 1/3 (/ (- (* 1/16 (pow (PI) 4)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 4)) (* (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))>
#<alt (* 1/3 (/ (- (* 1/16 (pow (PI) 4)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 4)) (* (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))>
#<alt (* 1/3 (/ (- (* 1/16 (pow (PI) 4)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 4)) (* (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))>
#<alt (* 1/3 (/ (- (* 1/16 (pow (PI) 4)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 4)) (* (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))>
#<alt (* 1/3 (/ (- (* 1/16 (pow (PI) 4)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 4)) (* (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))>
#<alt (* 1/3 (/ (- (* 1/16 (pow (PI) 4)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 4)) (* (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))>
#<alt (* 1/3 (/ (- (* 1/16 (pow (PI) 4)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 4)) (* (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))>
#<alt (* 1/3 (/ (- (* 1/16 (pow (PI) 4)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 4)) (* (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))>
#<alt (* 1/3 (/ (- (* 1/16 (pow (PI) 4)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 4)) (* (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))))>
#<alt (* 1/3 (/ (- (* 1/16 (pow (PI) 4)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 4)) (* (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))))>
#<alt (* 1/3 (/ (- (* 1/16 (pow (PI) 4)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 4)) (* (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))))>
#<alt (* 1/3 (/ (- (* 1/16 (pow (PI) 4)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 4)) (* (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))))>
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#<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 (* 3 (* (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))>
#<alt (* 3 (* (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))>
#<alt (* 3 (* (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))>
#<alt (* 3 (* (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))>
#<alt (* 3 (* (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))>
#<alt (* 3 (* (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))>
#<alt (* 3 (* (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))>
#<alt (* 3 (* (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))>
#<alt (* 3 (* (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))>
#<alt (* 3 (* (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))>
#<alt (* 3 (* (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))>
#<alt (* 3 (* (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))>
#<alt (* 3 (* (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))>
#<alt (* 3 (* (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))>
#<alt (* 3 (* (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))>
#<alt (* 3 (* (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))>
#<alt (* 3 (* (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))>
#<alt (* 3 (* (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))>
#<alt (* 3 (* (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))>
#<alt (* 3 (* (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))>
#<alt (* 3 (* (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))))>
#<alt (* 3 (* (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))))>
#<alt (* 3 (* (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))))>
#<alt (* 3 (* (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))))>
#<alt (* 3 (* (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))>
#<alt (* 3 (* (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))>
#<alt (* 3 (* (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))>
#<alt (* 3 (* (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))>
#<alt (* 3 (* (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))>
#<alt (* 3 (* (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))>
#<alt (* 3 (* (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))>
#<alt (* 3 (* (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))>
#<alt (* 3 (* (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))>
#<alt (* 3 (* (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))>
#<alt (* 3 (* (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))>
#<alt (* 3 (* (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))>
#<alt (* 3 (* (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))>
#<alt (* 3 (* (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))>
#<alt (* 3 (* (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))>
#<alt (* 3 (* (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))>
#<alt (* 3 (* (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))>
#<alt (* 3 (* (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))>
#<alt (* 3 (* (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))>
#<alt (* 3 (* (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))>
#<alt (* 3 (* (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))>
#<alt (* 3 (* (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))>
#<alt (* 3 (* (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))>
#<alt (* 3 (* (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* -1 (* (sqrt t) (* x (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt t) (* x (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt t) (* x (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt t) (* x (pow (sqrt -1) 2))))>
#<alt (* 18 (* y z))>
#<alt (* 18 (* y z))>
#<alt (* 18 (* y z))>
#<alt (* 18 (* y z))>
#<alt (* 18 (* y z))>
#<alt (* 18 (* y z))>
#<alt (* 18 (* y z))>
#<alt (* 18 (* y z))>
#<alt (* 18 (* y z))>
#<alt (* 18 (* y z))>
#<alt (* 18 (* y z))>
#<alt (* 18 (* y z))>
#<alt (* 18 (* y z))>
#<alt (* 18 (* y z))>
#<alt (* 18 (* y z))>
#<alt (* 18 (* y z))>
#<alt (* 18 (* y z))>
#<alt (* 18 (* y z))>
#<alt (* 18 (* y z))>
#<alt (* 18 (* y z))>
#<alt (* 18 (* y z))>
#<alt (* 18 (* y z))>
#<alt (* 18 (* y z))>
#<alt (* 18 (* y z))>
#<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 y))>
#<alt (* (sqrt t) (/ 1 y))>
#<alt (* (sqrt t) (/ 1 y))>
#<alt (* (sqrt t) (/ 1 y))>
#<alt (* (sqrt t) (/ 1 y))>
#<alt (* (sqrt t) (/ 1 y))>
#<alt (* (sqrt t) (/ 1 y))>
#<alt (* (sqrt t) (/ 1 y))>
#<alt (* -1 (* (sqrt t) (/ (pow (sqrt -1) 2) y)))>
#<alt (* -1 (* (sqrt t) (/ (pow (sqrt -1) 2) y)))>
#<alt (* -1 (* (sqrt t) (/ (pow (sqrt -1) 2) y)))>
#<alt (* -1 (* (sqrt t) (/ (pow (sqrt -1) 2) y)))>
#<alt (* (sqrt t) (/ 1 y))>
#<alt (* (sqrt t) (/ 1 y))>
#<alt (* (sqrt t) (/ 1 y))>
#<alt (* (sqrt t) (/ 1 y))>
#<alt (* (sqrt t) (/ 1 y))>
#<alt (* (sqrt t) (/ 1 y))>
#<alt (* (sqrt t) (/ 1 y))>
#<alt (* (sqrt t) (/ 1 y))>
#<alt (* (sqrt t) (/ 1 y))>
#<alt (* (sqrt t) (/ 1 y))>
#<alt (* (sqrt t) (/ 1 y))>
#<alt (* (sqrt t) (/ 1 y))>

Calls

240 calls:

Time	Variable		Point	Expression
15.0ms	t	@	0	(/ (sqrt t) y)
3.0ms	z	@	inf	(/ (* (- (* (* (PI) (PI)) (* (* (PI) (PI)) 1/16)) (pow (asin (/ (* x (sqrt t)) (* (* y 18) z))) 4)) 1) (* (+ (* (PI) (* (PI) 1/4)) (pow (asin (/ (* x (sqrt t)) (* (* y 18) z))) 2)) (* (+ (* (PI) 1/2) (asin (/ (* x (sqrt t)) (* (* y 18) z)))) 3)))
3.0ms	y	@	0	(* (- (* (* (PI) (PI)) (* (* (PI) (PI)) 1/16)) (pow (asin (/ (* x (sqrt t)) (* (* y 18) z))) 4)) 1)
2.0ms	t	@	-inf	(/ (* (- (* (* (PI) (PI)) (* (* (PI) (PI)) 1/16)) (pow (asin (/ (* x (sqrt t)) (* (* y 18) z))) 4)) 1) (* (+ (* (PI) (* (PI) 1/4)) (pow (asin (/ (* x (sqrt t)) (* (* y 18) z))) 2)) (* (+ (* (PI) 1/2) (asin (/ (* x (sqrt t)) (* (* y 18) z)))) 3)))
2.0ms	x	@	0	(/ (* (- (* (* (PI) (PI)) (* (* (PI) (PI)) 1/16)) (pow (asin (/ (* x (sqrt t)) (* (* y 18) z))) 4)) 1) (* (+ (* (PI) (* (PI) 1/4)) (pow (asin (/ (* x (sqrt t)) (* (* y 18) z))) 2)) (* (+ (* (PI) 1/2) (asin (/ (* x (sqrt t)) (* (* y 18) z)))) 3)))

rewrite3.5s (11.5%)

Memory

11.5MiB live, 1 035.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 264×	`lower-fma.f32`
7 260×	`lower-fma.f64`
4 264×	`lower-/.f32`
4 248×	`lower-/.f64`
4 170×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	51	378
0	90	527
1	301	283
2	1928	283
0	8261	283

Stop Event

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

Counts

26 → 2 386

Calls

Call 1

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

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

simplify478.0ms (1.6%)

Memory

-4.2MiB live, 889.4MiB allocated

Algorithm

1×	egg-herbie

Rules

7 330×	`lower-fma.f64`
7 330×	`lower-fma.f32`
5 834×	`lower-*.f64`
5 834×	`lower-*.f32`
2 968×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	16200
1	196	15864
2	685	15792
3	2444	15792
4	5323	15792
0	8421	15456

Stop Event

1×	iter limit
1×	node limit

Counts

960 → 960

Calls

Call 1

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

Outputs
(- (* 1/16 (pow (PI) 4)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 4))
(-.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))) (pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))) #s(literal 4 binary64)))
(- (* 1/16 (pow (PI) 4)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 4))
(-.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))) (pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))) #s(literal 4 binary64)))
(- (* 1/16 (pow (PI) 4)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 4))
(-.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))) (pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))) #s(literal 4 binary64)))
(- (* 1/16 (pow (PI) 4)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 4))
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(- (* 1/16 (pow (PI) 4)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 4))
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(- (* 1/16 (pow (PI) 4)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 4))
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(- (* 1/16 (pow (PI) 4)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 4))
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(- (* 1/16 (pow (PI) 4)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 4))
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(- (* 1/16 (pow (PI) 4)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 4))
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(- (* 1/16 (pow (PI) 4)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 4))
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(- (* 1/16 (pow (PI) 4)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 4))
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(- (* 1/16 (pow (PI) 4)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 4))
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(- (* 1/16 (pow (PI) 4)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 4))
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(- (* 1/16 (pow (PI) 4)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 4))
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(- (* 1/16 (pow (PI) 4)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 4))
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(- (* 1/16 (pow (PI) 4)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 4))
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(- (* 1/16 (pow (PI) 4)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 4))
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(- (* 1/16 (pow (PI) 4)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 4))
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(- (* 1/16 (pow (PI) 4)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 4))
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(- (* 1/16 (pow (PI) 4)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 4))
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(- (* 1/16 (pow (PI) 4)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 4))
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(- (* 1/16 (pow (PI) 4)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 4))
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(* -1 (* (sqrt t) (* x (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 t) x)
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eval1.2s (3.8%)

Memory: 22.1MiB live, 1 458.5MiB allocated
Compiler: Compiled 240 331 to 7 637 computations (96.8% saved)

prune795.0ms (2.6%)

Memory

-18.8MiB live, 634.3MiB allocated

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	4 856	2	4 858
Fresh	2	1	3
Picked	1	4	5
Done	0	0	0
Total	4 859	7	4 866

Accuracy

100.0%

Counts

4 866 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.0%	(pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (*.f64 #s(literal 18 binary64) z))))) #s(literal -1 binary64))
✓	96.6%	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (.f64 y #s(literal 18 binary64)) z))) #s(literal 2 binary64))) (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (*.f64 y #s(literal 18 binary64)) z)))) #s(literal 3 binary64)))
▶	96.5%	(/.f64 (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (*.f64 #s(literal 18 binary64) z)))) #s(literal 3 binary64))
▶	96.5%	(.f64 (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (.f64 y #s(literal 18 binary64)) z))) #s(literal 1/3 binary64))
✓	96.5%	(.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (.f64 y #s(literal 18 binary64)) z))))))
✓	96.9%	(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (/.f64 (sqrt.f64 t) y))))
✓	97.0%	(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 x (.f64 (.f64 y #s(literal 18 binary64)) z)) (sqrt.f64 t))))

Compiler

Compiled 148 to 106 computations (28.4% saved)

simplify11.0ms (0%)

Memory

14.8MiB live, 14.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (*.f64 #s(literal 18 binary64) z)))
✓	cost-diff	0	(acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (*.f64 #s(literal 18 binary64) z))))
✓	cost-diff	0	(/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (*.f64 #s(literal 18 binary64) z)))))
✓	cost-diff	6848	(pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (*.f64 #s(literal 18 binary64) z))))) #s(literal -1 binary64))
✓	cost-diff	0	(*.f64 x (sqrt.f64 t))
✓	cost-diff	0	(/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (*.f64 #s(literal 18 binary64) z)))
✓	cost-diff	0	(acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (*.f64 #s(literal 18 binary64) z))))
✓	cost-diff	0	(/.f64 (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (*.f64 #s(literal 18 binary64) z)))) #s(literal 3 binary64))
✓	cost-diff	0	(*.f64 x (sqrt.f64 t))
✓	cost-diff	0	(/.f64 (.f64 x (sqrt.f64 t)) (.f64 (*.f64 y #s(literal 18 binary64)) z))
✓	cost-diff	0	(acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (*.f64 y #s(literal 18 binary64)) z)))
✓	cost-diff	0	(.f64 (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (.f64 y #s(literal 18 binary64)) z))) #s(literal 1/3 binary64))

Rules

136×	`lower-*.f32`
124×	`lower-*.f64`
120×	`lower-/.f32`
114×	`lower-/.f64`
92×	`associate-/r*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	178
0	36	176
1	59	176
2	116	176
3	203	176
4	233	176
0	233	176

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize249.0ms (0.8%)

Memory

-18.8MiB live, 140.7MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (*.f64 #s(literal 18 binary64) z)))))
✓	accuracy	99.6%	(*.f64 x (sqrt.f64 t))
✓	accuracy	98.6%	(.f64 y (.f64 #s(literal 18 binary64) z))
✓	accuracy	86.8%	(/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (*.f64 #s(literal 18 binary64) z)))
✓	accuracy	99.6%	(*.f64 x (sqrt.f64 t))
✓	accuracy	98.6%	(.f64 y (.f64 #s(literal 18 binary64) z))
✓	accuracy	98.5%	(/.f64 (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (*.f64 #s(literal 18 binary64) z)))) #s(literal 3 binary64))
✓	accuracy	86.8%	(/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (*.f64 #s(literal 18 binary64) z)))
✓	accuracy	99.7%	(.f64 (.f64 y #s(literal 18 binary64)) z)
✓	accuracy	99.6%	(*.f64 x (sqrt.f64 t))
✓	accuracy	98.5%	(.f64 (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (.f64 y #s(literal 18 binary64)) z))) #s(literal 1/3 binary64))
✓	accuracy	86.8%	(/.f64 (.f64 x (sqrt.f64 t)) (.f64 (*.f64 y #s(literal 18 binary64)) z))

Samples

122.0ms

256×

valid

Compiler

Compiled 180 to 24 computations (86.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 105.0ms

ival-div: 46.0ms (43.9% of total)

const: 41.0ms (39.1% of total)

ival-mult: 9.0ms (8.6% of total)

ival-acos: 4.0ms (3.8% of total)

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

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

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

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

exact: 0.0ms (0% of total)

series64.0ms (0.2%)

Memory

1.7MiB live, 39.5MiB allocated

Counts

11 → 456

Calls

Call 1

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

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

Calls

114 calls:

Time	Variable		Point	Expression
18.0ms	z	@	-inf	(/ 3 (acos (/ (* x (sqrt t)) (* y (* 18 z)))))
1.0ms	x	@	-inf	(/ 3 (acos (/ (* x (sqrt t)) (* y (* 18 z)))))
1.0ms	t	@	-inf	(/ 3 (acos (/ (* x (sqrt t)) (* y (* 18 z)))))
1.0ms	x	@	inf	(/ 3 (acos (/ (* x (sqrt t)) (* y (* 18 z)))))
1.0ms	y	@	inf	(/ 3 (acos (/ (* x (sqrt t)) (* y (* 18 z)))))

rewrite4.2s (13.6%)

Memory

4.5MiB live, 388.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 238×	`lower-*.f32`
5 226×	`lower-*.f64`
3 588×	`lower-/.f32`
3 582×	`lower-/.f64`
1 484×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	110
0	36	108
1	97	108
2	397	108
3	2984	108
0	8437	108

Stop Event

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

Counts

11 → 1 064

Calls

Call 1

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

Outputs
(+.f64 (.f64 (PI.f64) #s(literal 1/6 binary64)) (neg.f64 (.f64 (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (*.f64 #s(literal 18 binary64) z)))) #s(literal 1/3 binary64))))
(+.f64 (.f64 (PI.f64) #s(literal 1/6 binary64)) (.f64 (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (*.f64 z #s(literal -18 binary64))))) #s(literal 1/3 binary64)))
(+.f64 (.f64 #s(literal 1/3 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 #s(literal 1/3 binary64) (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (.f64 z #s(literal -18 binary64)))))))
(exp.f64 (log.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (.f64 #s(literal 18 binary64) z)))))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (*.f64 #s(literal 18 binary64) z)))))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) (neg.f64 (log.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (*.f64 #s(literal 18 binary64) z)))))))))
(exp.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (.f64 #s(literal 18 binary64) z))))))) (neg.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (.f64 #s(literal 18 binary64) z))))))))))
(-.f64 #s(literal 0 binary64) (.f64 (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (.f64 #s(literal 18 binary64) z)))) #s(literal -1/3 binary64)))
(-.f64 (.f64 (PI.f64) #s(literal 1/6 binary64)) (.f64 (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (*.f64 #s(literal 18 binary64) z)))) #s(literal 1/3 binary64)))
(-.f64 (/.f64 (.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (/.f64 (.f64 (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (*.f64 #s(literal 18 binary64) z)))) #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/3 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 #s(literal 1/3 binary64) (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (*.f64 z #s(literal -18 binary64)))))))
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (neg.f64 (.f64 (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (.f64 #s(literal 18 binary64) z)))) #s(literal 1/3 binary64))))
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (.f64 (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (.f64 z #s(literal -18 binary64))))) #s(literal 1/3 binary64)))
(fma.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1/3 binary64) (neg.f64 (.f64 (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (*.f64 #s(literal 18 binary64) z)))) #s(literal 1/3 binary64))))
(fma.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1/3 binary64) (.f64 (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (*.f64 z #s(literal -18 binary64))))) #s(literal 1/3 binary64)))
(neg.f64 (.f64 (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (.f64 #s(literal 18 binary64) z)))) #s(literal -1/3 binary64)))
(neg.f64 (/.f64 (.f64 (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (.f64 #s(literal 18 binary64) z)))) #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (*.f64 #s(literal 18 binary64) z))))))
(/.f64 (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (*.f64 #s(literal 18 binary64) z)))) #s(literal 3 binary64))
(/.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (.f64 #s(literal 18 binary64) z))))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (*.f64 #s(literal 18 binary64) z))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (*.f64 #s(literal 18 binary64) z))))))
(/.f64 (neg.f64 (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (*.f64 #s(literal 18 binary64) z))))) #s(literal -3 binary64))
(/.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (.f64 #s(literal 18 binary64) z)))))) (sqrt.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (*.f64 #s(literal 18 binary64) z)))))))
(/.f64 (.f64 (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (.f64 #s(literal 18 binary64) z)))) #s(literal -1/3 binary64)) #s(literal -1 binary64))
(/.f64 (fma.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64) (pow.f64 (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (.f64 z #s(literal -18 binary64))))) #s(literal 3 binary64))) (.f64 #s(literal 3 binary64) (fma.f64 (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (.f64 #s(literal 18 binary64) z)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (.f64 #s(literal 18 binary64) z))))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))
(/.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (*.f64 #s(literal 18 binary64) z))))))
(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (.f64 #s(literal 18 binary64) z)))) #s(literal 2 binary64))) (.f64 #s(literal 3 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (*.f64 #s(literal 18 binary64) z)))))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (*.f64 #s(literal 18 binary64) z)))))) #s(literal -3 binary64))
(/.f64 (-.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (.f64 #s(literal 3 binary64) (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (.f64 #s(literal 18 binary64) z)))))) #s(literal 9 binary64))
(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/216 binary64)) (pow.f64 (.f64 (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (.f64 #s(literal 18 binary64) z)))) #s(literal 1/3 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (PI.f64) #s(literal 1/6 binary64)) (.f64 (PI.f64) #s(literal 1/6 binary64)) (+.f64 (pow.f64 (.f64 (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (.f64 #s(literal 18 binary64) z)))) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (PI.f64) #s(literal 1/6 binary64)) (.f64 (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (*.f64 #s(literal 18 binary64) z)))) #s(literal 1/3 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 (PI.f64) #s(literal 1/6 binary64)) (.f64 (PI.f64) #s(literal 1/6 binary64))) (pow.f64 (.f64 (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (.f64 #s(literal 18 binary64) z)))) #s(literal 1/3 binary64)) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/6 binary64) (.f64 (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (*.f64 #s(literal 18 binary64) z)))) #s(literal 1/3 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (.f64 #s(literal 18 binary64) z)))))) #s(literal -3 binary64))
(/.f64 (.f64 #s(literal 1/3 binary64) (fma.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64) (pow.f64 (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (.f64 z #s(literal -18 binary64))))) #s(literal 3 binary64)))) (fma.f64 (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (.f64 #s(literal 18 binary64) z)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (.f64 #s(literal 18 binary64) z))))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
(/.f64 (.f64 #s(literal 1/3 binary64) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (.f64 #s(literal 18 binary64) z)))) #s(literal 2 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (*.f64 #s(literal 18 binary64) z))))))
(/.f64 (.f64 (fma.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64) (pow.f64 (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (.f64 z #s(literal -18 binary64))))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (.f64 #s(literal 18 binary64) z)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (.f64 #s(literal 18 binary64) z))))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (.f64 #s(literal 18 binary64) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (*.f64 #s(literal 18 binary64) z))))))
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (*.f64 #s(literal 18 binary64) z))))))
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (*.f64 #s(literal 18 binary64) z))))))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal 1/3 binary64))))
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal -3 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (*.f64 #s(literal 18 binary64) z))))))))
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (.f64 (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (.f64 #s(literal 18 binary64) z)))) #s(literal -1/3 binary64)))))
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (.f64 #s(literal 18 binary64) z))))))))) (sqrt.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (.f64 #s(literal 18 binary64) z)))))))
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (neg.f64 (log.f64 (.f64 (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (.f64 #s(literal 18 binary64) z)))) #s(literal -1/3 binary64))))))
(/.f64 (exp.f64 (log.f64 #s(literal 1/3 binary64))) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (*.f64 #s(literal 18 binary64) z))))))
(/.f64 (-.f64 (neg.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (.f64 z #s(literal -18 binary64)))))) #s(literal -3 binary64))
(/.f64 (-.f64 (.f64 (PI.f64) #s(literal 3 binary64)) (.f64 #s(literal 6 binary64) (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (*.f64 #s(literal 18 binary64) z)))))) #s(literal 18 binary64))
(/.f64 (-.f64 (.f64 (PI.f64) (/.f64 #s(literal 3 binary64) (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (.f64 #s(literal 18 binary64) z)))))) #s(literal 6 binary64)) (.f64 #s(literal 6 binary64) (/.f64 #s(literal 3 binary64) (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (.f64 #s(literal 18 binary64) z)))))))
(/.f64 (-.f64 (.f64 (PI.f64) #s(literal -3 binary64)) (.f64 #s(literal 6 binary64) (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (*.f64 z #s(literal -18 binary64))))))) #s(literal -18 binary64))
(/.f64 (-.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 #s(literal 3 binary64) (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (.f64 #s(literal 18 binary64) z)))))) #s(literal 3 binary64)) (.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (*.f64 #s(literal 18 binary64) z)))))))
(/.f64 (-.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal -3 binary64)) (.f64 #s(literal 3 binary64) (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (.f64 z #s(literal -18 binary64))))))) #s(literal -9 binary64))
(/.f64 (-.f64 #s(literal 3 binary64) (.f64 (/.f64 #s(literal 3 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64))) (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (.f64 #s(literal 18 binary64) z)))))) (.f64 (/.f64 #s(literal 3 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (.f64 #s(literal 18 binary64) z)))))) (.f64 (/.f64 #s(literal 3 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 3 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64))) (/.f64 #s(literal 3 binary64) (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (*.f64 #s(literal 18 binary64) z)))))))
(/.f64 (-.f64 #s(literal -3 binary64) (.f64 (/.f64 #s(literal 3 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64))) (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (.f64 z #s(literal -18 binary64))))))) (.f64 (/.f64 #s(literal 3 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -3 binary64)))
(/.f64 (-.f64 #s(literal 3 binary64) (.f64 (.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (PI.f64))) (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (.f64 #s(literal 18 binary64) z)))))) (.f64 (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 3 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (.f64 #s(literal 18 binary64) z)))))) (.f64 (.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 1 binary64))) (.f64 (.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (PI.f64))) (/.f64 #s(literal 3 binary64) (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (*.f64 #s(literal 18 binary64) z)))))))
(/.f64 (-.f64 #s(literal -3 binary64) (.f64 (.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (PI.f64))) (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (.f64 z #s(literal -18 binary64))))))) (.f64 (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (PI.f64))) #s(literal -3 binary64)))
(/.f64 (-.f64 (.f64 (neg.f64 (PI.f64)) #s(literal 3 binary64)) (.f64 #s(literal -6 binary64) (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (*.f64 #s(literal 18 binary64) z)))))) #s(literal -18 binary64))
(/.f64 (-.f64 (.f64 (neg.f64 (PI.f64)) (/.f64 #s(literal 3 binary64) (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (.f64 #s(literal 18 binary64) z)))))) #s(literal -6 binary64)) (.f64 #s(literal -6 binary64) (/.f64 #s(literal 3 binary64) (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (.f64 #s(literal 18 binary64) z)))))))
(/.f64 (-.f64 (.f64 (neg.f64 (PI.f64)) #s(literal -3 binary64)) (.f64 #s(literal -6 binary64) (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (*.f64 z #s(literal -18 binary64))))))) #s(literal 18 binary64))
(/.f64 (-.f64 (.f64 (neg.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (.f64 #s(literal -3 binary64) (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (.f64 #s(literal 18 binary64) z)))))) #s(literal -9 binary64))
(/.f64 (-.f64 (.f64 (neg.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (/.f64 #s(literal 3 binary64) (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (.f64 #s(literal 18 binary64) z)))))) #s(literal -3 binary64)) (.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (*.f64 #s(literal 18 binary64) z)))))))
(/.f64 (-.f64 (.f64 (neg.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -3 binary64)) (.f64 #s(literal -3 binary64) (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (.f64 z #s(literal -18 binary64))))))) #s(literal 9 binary64))
(/.f64 (-.f64 (.f64 (.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (.f64 #s(literal 1 binary64) (.f64 (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (*.f64 #s(literal 18 binary64) z)))) #s(literal 1/3 binary64)))) #s(literal 1 binary64))
(pow.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (.f64 #s(literal 18 binary64) z))))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (*.f64 #s(literal 18 binary64) z))))) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (.f64 #s(literal 18 binary64) z)))))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (.f64 #s(literal 18 binary64) z))))) #s(literal -2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (.f64 #s(literal 18 binary64) z))))) #s(literal 1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (pow.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (.f64 #s(literal 18 binary64) z))))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (.f64 #s(literal 18 binary64) z))))))))
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(/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (*.f64 #s(literal 18 binary64) z)))))
(/.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (*.f64 #s(literal 18 binary64) z))))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (.f64 (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (.f64 #s(literal 18 binary64) z)))) #s(literal -1/3 binary64)))
(/.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (.f64 #s(literal 18 binary64) z))))))
(/.f64 #s(literal -3 binary64) (neg.f64 (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (*.f64 #s(literal 18 binary64) z))))))
(/.f64 #s(literal -3 binary64) (.f64 #s(literal 1 binary64) (neg.f64 (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (.f64 #s(literal 18 binary64) z)))))))
(/.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (*.f64 #s(literal 18 binary64) z))))) #s(literal 1/3 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (*.f64 #s(literal 18 binary64) z))))) (exp.f64 (log.f64 #s(literal 1/3 binary64))))
(/.f64 (/.f64 #s(literal -1 binary64) (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (*.f64 #s(literal 18 binary64) z))))) #s(literal -1/3 binary64))
(/.f64 (/.f64 #s(literal -3 binary64) (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (*.f64 #s(literal 18 binary64) z))))) #s(literal -1 binary64))
(/.f64 (sqrt.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (.f64 #s(literal 18 binary64) z)))))) (sqrt.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (*.f64 #s(literal 18 binary64) z)))))))
(/.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (.f64 #s(literal 18 binary64) z))))))) (neg.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (*.f64 #s(literal 18 binary64) z))))))))
(/.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (.f64 #s(literal 18 binary64) z)))))) (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64))) (sqrt.f64 (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (.f64 #s(literal 18 binary64) z))))))
(/.f64 (pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (.f64 #s(literal 18 binary64) z))))) #s(literal 3/4 binary64)) (pow.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (*.f64 #s(literal 18 binary64) z))))) #s(literal 1/4 binary64)))
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (log.f64 (.f64 (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (.f64 #s(literal 18 binary64) z)))) #s(literal -1/3 binary64)))))
(pow.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (.f64 #s(literal 18 binary64) z))))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (*.f64 #s(literal 18 binary64) z))))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (.f64 #s(literal 18 binary64) z)))))) #s(literal -2 binary64))
(pow.f64 (pow.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (.f64 #s(literal 18 binary64) z))))) #s(literal -2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (.f64 #s(literal 18 binary64) z))))) #s(literal 1/4 binary64)) #s(literal -4 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (*.f64 #s(literal 18 binary64) z)))))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (.f64 #s(literal 18 binary64) z))))) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (E.f64) (neg.f64 (log.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (.f64 #s(literal 18 binary64) z))))))))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (.f64 #s(literal 18 binary64) z)))))))
(.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (.f64 #s(literal 18 binary64) z))))))
(.f64 #s(literal 3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (.f64 #s(literal 18 binary64) z))))) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (.f64 #s(literal 18 binary64) z))))) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (.f64 #s(literal 18 binary64) z))))))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (.f64 #s(literal 18 binary64) z))))))
(.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (.f64 #s(literal 18 binary64) z))))))
(.f64 #s(literal -3 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (.f64 #s(literal 18 binary64) z))))) #s(literal 1 binary64)))
(.f64 #s(literal -3 binary64) (exp.f64 (neg.f64 (log.f64 (neg.f64 (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (.f64 #s(literal 18 binary64) z)))))))))
(.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (.f64 #s(literal 18 binary64) z))))) #s(literal 3 binary64))
(.f64 (/.f64 #s(literal -1 binary64) (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (.f64 #s(literal 18 binary64) z))))) #s(literal -3 binary64))
(.f64 (sqrt.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (.f64 #s(literal 18 binary64) z)))))) (sqrt.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (*.f64 #s(literal 18 binary64) z)))))))
(.f64 (/.f64 #s(literal 3 binary64) (fma.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64) (pow.f64 (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (.f64 z #s(literal -18 binary64))))) #s(literal 3 binary64)))) (fma.f64 (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (.f64 #s(literal 18 binary64) z)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (.f64 #s(literal 18 binary64) z))))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
(.f64 (/.f64 #s(literal 3 binary64) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (.f64 #s(literal 18 binary64) z)))) #s(literal 2 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (*.f64 #s(literal 18 binary64) z))))))
(.f64 (exp.f64 (neg.f64 (log.f64 (neg.f64 (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (.f64 #s(literal 18 binary64) z)))))))) #s(literal -3 binary64))
(exp.f64 (neg.f64 (.f64 (log.f64 (.f64 y (*.f64 #s(literal 18 binary64) z))) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (.f64 y (.f64 z #s(literal -18 binary64))))
(neg.f64 (.f64 y (.f64 z #s(literal -18 binary64))))
(/.f64 (.f64 y (.f64 #s(literal 18 binary64) z)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))
(/.f64 (.f64 y (.f64 z #s(literal -18 binary64))) #s(literal -1 binary64))
(pow.f64 (.f64 y (.f64 #s(literal 18 binary64) z)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y z)) #s(literal -1 binary64))
(.f64 y (.f64 #s(literal 18 binary64) z))
(.f64 y (neg.f64 (.f64 z #s(literal -18 binary64))))
(.f64 y (/.f64 (.f64 #s(literal 18 binary64) z) #s(literal 1 binary64)))
(.f64 #s(literal 18 binary64) (.f64 y z))
(.f64 #s(literal 18 binary64) (/.f64 (.f64 y z) #s(literal 1 binary64)))
(.f64 (.f64 y #s(literal 18 binary64)) z)
(.f64 (.f64 y #s(literal 18 binary64)) (neg.f64 (neg.f64 z)))
(.f64 (.f64 y #s(literal 18 binary64)) (/.f64 z #s(literal 1 binary64)))
(.f64 z (.f64 y #s(literal 18 binary64)))
(.f64 z (neg.f64 (.f64 y #s(literal -18 binary64))))
(.f64 z (/.f64 (.f64 y #s(literal 18 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 18 binary64) z) y)
(.f64 (.f64 #s(literal 18 binary64) z) (neg.f64 (neg.f64 y)))
(.f64 (.f64 #s(literal 18 binary64) z) (/.f64 y #s(literal 1 binary64)))
(.f64 (.f64 y (*.f64 #s(literal 18 binary64) z)) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (.f64 y (*.f64 z #s(literal -18 binary64))))
(.f64 #s(literal 1 binary64) (.f64 y (*.f64 #s(literal 18 binary64) z)))
(.f64 (neg.f64 y) (.f64 z #s(literal -18 binary64)))
(.f64 (.f64 z #s(literal -18 binary64)) (neg.f64 y))
(.f64 (neg.f64 z) (.f64 y #s(literal -18 binary64)))
(.f64 (.f64 y #s(literal -18 binary64)) (neg.f64 z))
(.f64 (.f64 y z) #s(literal 18 binary64))
(.f64 (neg.f64 (neg.f64 y)) (.f64 #s(literal 18 binary64) z))
(.f64 (neg.f64 (.f64 y #s(literal -18 binary64))) z)
(.f64 (neg.f64 (.f64 z #s(literal -18 binary64))) y)
(.f64 (neg.f64 (neg.f64 z)) (.f64 y #s(literal 18 binary64)))
(exp.f64 (neg.f64 (.f64 (log.f64 (.f64 y (*.f64 #s(literal 18 binary64) z))) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (.f64 y (.f64 z #s(literal -18 binary64))))
(neg.f64 (.f64 y (.f64 z #s(literal -18 binary64))))
(/.f64 (.f64 y (.f64 #s(literal 18 binary64) z)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))
(/.f64 (.f64 y (.f64 z #s(literal -18 binary64))) #s(literal -1 binary64))
(pow.f64 (.f64 y (.f64 #s(literal 18 binary64) z)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y z)) #s(literal -1 binary64))
(.f64 y (.f64 #s(literal 18 binary64) z))
(.f64 y (neg.f64 (.f64 z #s(literal -18 binary64))))
(.f64 y (/.f64 (.f64 #s(literal 18 binary64) z) #s(literal 1 binary64)))
(.f64 #s(literal 18 binary64) (.f64 y z))
(.f64 #s(literal 18 binary64) (/.f64 (.f64 y z) #s(literal 1 binary64)))
(.f64 (.f64 y #s(literal 18 binary64)) z)
(.f64 (.f64 y #s(literal 18 binary64)) (neg.f64 (neg.f64 z)))
(.f64 (.f64 y #s(literal 18 binary64)) (/.f64 z #s(literal 1 binary64)))
(.f64 z (.f64 y #s(literal 18 binary64)))
(.f64 z (neg.f64 (.f64 y #s(literal -18 binary64))))
(.f64 z (/.f64 (.f64 y #s(literal 18 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 18 binary64) z) y)
(.f64 (.f64 #s(literal 18 binary64) z) (neg.f64 (neg.f64 y)))
(.f64 (.f64 #s(literal 18 binary64) z) (/.f64 y #s(literal 1 binary64)))
(.f64 (.f64 y (*.f64 #s(literal 18 binary64) z)) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (.f64 y (*.f64 z #s(literal -18 binary64))))
(.f64 #s(literal 1 binary64) (.f64 y (*.f64 #s(literal 18 binary64) z)))
(.f64 (neg.f64 y) (.f64 z #s(literal -18 binary64)))
(.f64 (.f64 z #s(literal -18 binary64)) (neg.f64 y))
(.f64 (neg.f64 z) (.f64 y #s(literal -18 binary64)))
(.f64 (.f64 y #s(literal -18 binary64)) (neg.f64 z))
(.f64 (.f64 y z) #s(literal 18 binary64))
(.f64 (neg.f64 (neg.f64 y)) (.f64 #s(literal 18 binary64) z))
(.f64 (neg.f64 (.f64 y #s(literal -18 binary64))) z)
(.f64 (neg.f64 (.f64 z #s(literal -18 binary64))) y)
(.f64 (neg.f64 (neg.f64 z)) (.f64 y #s(literal 18 binary64)))

simplify259.0ms (0.8%)

Memory

17.5MiB live, 526.6MiB allocated

Algorithm

1×	egg-herbie

Rules

3 538×	`lower-*.f64`
3 538×	`lower-*.f32`
3 036×	`lower-fma.f64`
3 036×	`lower-fma.f32`
2 894×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	4968
1	68	4872
2	229	4848
3	877	4848
4	2083	4848
5	4596	4848
6	5718	4848
7	6783	4848
8	7814	4848
0	8029	4848

Stop Event

1×	iter limit
1×	node limit

Counts

456 → 456

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

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

eval284.0ms (0.9%)

Memory: -18.5MiB live, 647.7MiB allocated
Compiler: Compiled 49 771 to 3 107 computations (93.8% saved)

prune218.0ms (0.7%)

Memory

7.3MiB live, 533.5MiB allocated

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	2 067	3	2 070
Fresh	0	0	0
Picked	1	2	3
Done	1	3	4
Total	2 069	8	2 077

Accuracy

100.0%

Counts

2 077 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.7%	(pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y #s(literal 18 binary64))) z))) #s(literal -1 binary64))
	98.5%	(pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) (sqrt.f64 t)))) #s(literal -1 binary64))
	96.5%	(/.f64 (-.f64 (.f64 (PI.f64) #s(literal 3 binary64)) (.f64 #s(literal 6 binary64) (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (*.f64 #s(literal 18 binary64) z)))))) #s(literal 18 binary64))
✓	96.5%	(/.f64 (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (*.f64 #s(literal 18 binary64) z)))) #s(literal 3 binary64))
✓	96.5%	(.f64 (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (.f64 y #s(literal 18 binary64)) z))) #s(literal 1/3 binary64))
✓	96.5%	(.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (.f64 y #s(literal 18 binary64)) z))))))
✓	96.9%	(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (/.f64 (sqrt.f64 t) y))))
✓	97.0%	(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 x (.f64 (.f64 y #s(literal 18 binary64)) z)) (sqrt.f64 t))))

Compiler

Compiled 555 to 237 computations (57.3% saved)

regimes73.0ms (0.2%)

Memory

-0.4MiB live, 157.9MiB allocated

Counts

19 → 1

Calls

Call 1

Inputs
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 x (.f64 (.f64 y #s(literal 18 binary64)) 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 (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (.f64 y #s(literal 18 binary64)) z))) #s(literal 1/3 binary64))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (/.f64 (sqrt.f64 t) y))))
(/.f64 (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (*.f64 #s(literal 18 binary64) z)))) #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))))
(.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 x (sqrt.f64 t)) (.f64 y (*.f64 z #s(literal 54 binary64)))) #s(literal 3 binary64))))
(/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (*.f64 y #s(literal 18 binary64)) z)))))
(/.f64 (-.f64 (.f64 (PI.f64) #s(literal 3 binary64)) (.f64 #s(literal 6 binary64) (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (*.f64 #s(literal 18 binary64) z)))))) #s(literal 18 binary64))
(.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (.f64 y #s(literal 18 binary64)) z))))))
(.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))))
(pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) (sqrt.f64 t)))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (*.f64 #s(literal 18 binary64) z))))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y #s(literal 18 binary64))) z))) #s(literal -1 binary64))
(/.f64 (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64) (.f64 (pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))) #s(literal 2 binary64)) #s(literal -1/3 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z)))))
(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (.f64 y #s(literal 18 binary64)) z))) #s(literal 2 binary64))) (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (*.f64 y #s(literal 18 binary64)) z)))) #s(literal 3 binary64)))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 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 2 binary64))) #s(literal 1/3 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 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64))) (pow.f64 (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (.f64 y #s(literal 18 binary64)) z))) #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (.f64 y #s(literal 18 binary64)) z))) #s(literal 2 binary64))) (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (*.f64 y #s(literal 18 binary64)) z)))) #s(literal 3 binary64))))

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

Calls

13 calls:

6.0ms	(*.f64 z #s(literal 2 binary64))
6.0ms	y
6.0ms	(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))
6.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
6.0ms	x

Results

Accuracy	Segments	Branch
98.7%	1	`x`
98.7%	1	`y`
98.7%	1	`z`
98.7%	1	`t`
98.7%	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))))`
98.7%	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)))`
98.7%	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))`
98.7%	1	`(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))`
98.7%	1	`(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))`
98.7%	1	`(/.f64 x (*.f64 y #s(literal 27 binary64)))`
98.7%	1	`(*.f64 y #s(literal 27 binary64))`
98.7%	1	`(*.f64 z #s(literal 2 binary64))`
98.7%	1	`(sqrt.f64 t)`

Compiler

Compiled 135 to 108 computations (20% saved)

regimes58.0ms (0.2%)

Memory

12.2MiB live, 131.4MiB allocated

Counts

14 → 1

Calls

Call 1

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

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

Calls

13 calls:

6.0ms	z
5.0ms	(*.f64 y #s(literal 27 binary64))
5.0ms	(.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
4.0ms	(*.f64 z #s(literal 2 binary64))
4.0ms	y

Results

Accuracy	Segments	Branch
98.5%	1	`x`
98.5%	1	`y`
98.5%	1	`z`
98.5%	1	`t`
98.5%	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))))`
98.5%	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)))`
98.5%	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))`
98.5%	1	`(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))`
98.5%	1	`(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))`
98.5%	1	`(/.f64 x (*.f64 y #s(literal 27 binary64)))`
98.5%	1	`(*.f64 y #s(literal 27 binary64))`
98.5%	1	`(*.f64 z #s(literal 2 binary64))`
98.5%	1	`(sqrt.f64 t)`

Compiler

Compiled 135 to 108 computations (20% saved)

regimes51.0ms (0.2%)

Memory

-5.7MiB live, 111.8MiB allocated

Counts

12 → 1

Calls

Call 1

Inputs
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 x (.f64 (.f64 y #s(literal 18 binary64)) 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 (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (.f64 y #s(literal 18 binary64)) z))) #s(literal 1/3 binary64))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (/.f64 (sqrt.f64 t) y))))
(/.f64 (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (*.f64 #s(literal 18 binary64) z)))) #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))))
(.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 x (sqrt.f64 t)) (.f64 y (*.f64 z #s(literal 54 binary64)))) #s(literal 3 binary64))))
(/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (*.f64 y #s(literal 18 binary64)) z)))))
(/.f64 (-.f64 (.f64 (PI.f64) #s(literal 3 binary64)) (.f64 #s(literal 6 binary64) (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (*.f64 #s(literal 18 binary64) z)))))) #s(literal 18 binary64))
(.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (.f64 y #s(literal 18 binary64)) z))))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))

Outputs
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (.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:

5.0ms	(*.f64 z #s(literal 2 binary64))
4.0ms	(.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
4.0ms	(*.f64 y #s(literal 27 binary64))
4.0ms	(sqrt.f64 t)
4.0ms	x

Results

Accuracy	Segments	Branch
98.5%	1	`x`
98.5%	1	`y`
98.5%	1	`z`
98.5%	1	`t`
98.5%	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))))`
98.5%	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)))`
98.5%	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))`
98.5%	1	`(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))`
98.5%	1	`(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))`
98.5%	1	`(/.f64 x (*.f64 y #s(literal 27 binary64)))`
98.5%	1	`(*.f64 y #s(literal 27 binary64))`
98.5%	1	`(*.f64 z #s(literal 2 binary64))`
98.5%	1	`(sqrt.f64 t)`

Compiler

Compiled 135 to 108 computations (20% saved)

regimes34.0ms (0.1%)

Memory

4.4MiB live, 84.8MiB allocated

Accuracy

Total -1.3b remaining (-69.8%)

Threshold costs -1.3b (-69.8%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

13 calls:

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

Results

Accuracy	Segments	Branch
97.0%	1	`x`
97.0%	1	`y`
97.0%	1	`z`
97.0%	1	`t`
97.0%	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))))`
97.0%	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)))`
97.0%	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))`
97.0%	1	`(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))`
97.0%	1	`(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))`
97.0%	1	`(/.f64 x (*.f64 y #s(literal 27 binary64)))`
97.0%	1	`(*.f64 y #s(literal 27 binary64))`
97.0%	1	`(*.f64 z #s(literal 2 binary64))`
97.0%	1	`(sqrt.f64 t)`

Compiler

Compiled 135 to 108 computations (20% saved)

simplify8.0ms (0%)

Memory

-20.9MiB live, 18.3MiB allocated

Algorithm

1×	egg-herbie

Rules

26×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	60
1	52	60

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.2s (3.9%)

Memory

-1.1MiB live, 690.0MiB allocated

Rules

7 264×	`lower-fma.f32`
7 260×	`lower-fma.f64`
5 832×	`lower-*.f32`
5 822×	`lower-*.f64`
5 308×	`lower-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	50
0	29	50
1	69	42
2	387	36
3	3742	36
0	8214	36
0	29	1496
1	61	1484
2	190	1476
3	715	1476
4	2529	1476
5	4417	1476
6	6206	1476
0	8065	1476
0	51	312
0	94	277
1	266	263
2	1622	263
0	8301	263
0	51	378
0	90	527
1	301	283
2	1928	283
0	8261	283
0	22	110
0	36	108
1	97	108
2	397	108
3	2984	108
0	8437	108

Stop Event

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

Compiler

Compiled 191 to 138 computations (27.7% saved)

preprocess213.0ms (0.7%)

Memory: 10.4MiB live, 166.9MiB allocated
Remove: (sort y z)
Compiler: Compiled 368 to 266 computations (27.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze339.0ms (1.1%)

sample5.4s (17.5%)

preprocess157.0ms (0.5%)

explain220.0ms (0.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify91.0ms (0.3%)

localize49.0ms (0.2%)

series30.0ms (0.1%)

rewrite451.0ms (1.5%)

simplify357.0ms (1.2%)

eval134.0ms (0.4%)

prune118.0ms (0.4%)

simplify259.0ms (0.8%)

localize318.0ms (1%)

series106.0ms (0.3%)

rewrite506.0ms (1.6%)

simplify347.0ms (1.1%)

eval7.8s (25.2%)

prune382.0ms (1.2%)

simplify520.0ms (1.7%)

localize244.0ms (0.8%)

series83.0ms (0.3%)

rewrite3.5s (11.5%)

simplify478.0ms (1.6%)

eval1.2s (3.8%)

prune795.0ms (2.6%)

simplify11.0ms (0%)

localize249.0ms (0.8%)

series64.0ms (0.2%)

rewrite4.2s (13.6%)

simplify259.0ms (0.8%)

eval284.0ms (0.9%)

prune218.0ms (0.7%)

regimes73.0ms (0.2%)

regimes58.0ms (0.2%)

regimes51.0ms (0.2%)

regimes34.0ms (0.1%)

simplify8.0ms (0%)

soundness1.2s (3.9%)

preprocess213.0ms (0.7%)

end0.0ms (0%)

Profiling