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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze378.0ms (1.3%)

Memory

-6.9MiB live, 459.6MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 21 to 20 computations (4.8% saved)

sample5.6s (19.4%)

Memory

109.9MiB live, 5 743.8MiB allocated

Samples

3.0s	15 709×	0	invalid
1.1s	8 256×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 2.8s

ival-mult: 1.6s (57.4% of total)

ival-div: 691.0ms (24.5% of total)

ival-acos: 220.0ms (7.8% of total)

ival-sqrt: 218.0ms (7.7% of total)

exact: 45.0ms (1.6% of total)

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

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

Bogosity

explain313.0ms (1.1%)

Memory

-24.5MiB live, 296.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
15	-	2	(812.7569845587651 1.3152823751095783e+168 4.5613017989175815e+149 9.197408337503921e+266)	`(.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t))`
14	-	1	(-1.1214858943917698e-193 -1.1967344990847675e+121 -5.920461386165517e-217 3.5967119165841074e-294)	`(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))`
0	-	0	-	`t`
0	-	0	-	`#s(literal 3 binary64)`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))`
0	-	0	-	`(*.f64 y #s(literal 27 binary64))`
0	-	0	-	`y`
0	-	0	-	`(/.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 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t))`	*nu**	13	0
`/.f64`	`(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))`	u/n	12	0
↳	`(/.f64 x (*.f64 y #s(literal 27 binary64)))`	underflow	57
↳	`(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))`	underflow	57
`/.f64`	`(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))`	o/n	1	0
↳	`(/.f64 x (*.f64 y #s(literal 27 binary64)))`	overflow	1
↳	`(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))`	overflow	1

Confusion

	Predicted +	Predicted -
+	1	0
-	25	230

Precision

0.038461538461538464

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	25	0	230

Precision?

0.038461538461538464

Recall?

1.0

Freqs

test

number	freq
0	230
1	26

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

60.0ms

512×

valid

Compiler

Compiled 203 to 58 computations (71.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-mult: 14.0ms (37.4% of total)

ival-div: 13.0ms (34.7% of total)

ival-sqrt: 4.0ms (10.7% of total)

ival-acos: 4.0ms (10.7% of total)

exact: 1.0ms (2.7% of total)

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

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

preprocess126.0ms (0.4%)

Memory

35.8MiB 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 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (/.f64 (sqrt.f64 t) y) z))) #s(literal 1/3 binary64))

Symmetry

(sort y z)

Compiler

Compiled 19 to 18 computations (5.3% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.1%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))

Status

Accuracy

Program

▶

97.1%

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

Compiler

Compiled 19 to 18 computations (5.3% saved)

simplify103.0ms (0.4%)

Memory

-3.9MiB live, 115.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
cost-diff	320	(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))
cost-diff	320	(/.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 (acos.f64 (.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (/.f64 (sqrt.f64 t) y) z))) #s(literal 1/3 binary64))
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(literal 1/3 binary64)
#s(literal 1 binary64)
#s(literal 3 binary64)
(acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
(acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) x) (/.f64 (/.f64 (sqrt.f64 t) 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 #s(literal 1/18 binary64) x) (/.f64 (/.f64 (sqrt.f64 t) y) z))
(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 x z))
(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))
(*.f64 (/.f64 #s(literal 1/9 binary64) y) x)
(/.f64 x (*.f64 y #s(literal 27 binary64)))
(/.f64 x (*.f64 #s(literal 27 binary64) y))
x
(*.f64 y #s(literal 27 binary64))
(*.f64 #s(literal 27 binary64) y)
y
#s(literal 27 binary64)
(*.f64 z #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) z)
z
#s(literal 2 binary64)
(sqrt.f64 t)
t

localize43.0ms (0.2%)

Memory

-3.8MiB live, 112.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.26171875	(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))
accuracy	0.984375	(.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	2.8686202787303627	(.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	4.235121858506819	(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))

Samples

33.0ms

256×

valid

Compiler

Compiled 92 to 20 computations (78.3% saved)

Precisions

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

ival-mult: 10.0ms (45.5% of total)

ival-div: 7.0ms (31.8% of total)

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

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

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

exact: 0.0ms (0% of total)

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

series440.0ms (1.5%)

Memory

-43.7MiB live, 60.9MiB allocated

Counts

5 → 156

Calls

Call 1

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

Outputs
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(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)))) (patch (.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)))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(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)))) (patch (.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)))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(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)))) (patch (.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)))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(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)))) (patch (.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)))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor 0 t) (#s(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)) (patch (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor 0 t) (#s(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)) (patch (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor 0 t) (#s(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)) (patch (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor 0 t) (#s(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)) (patch (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor inf t) (#s(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)))) (patch (.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)))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor inf t) (#s(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)))) (patch (.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)))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor inf t) (#s(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)))) (patch (.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)))) #<representation binary64>) () ())) ())
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Calls

12 calls:

Time	Variable		Point	Expression
11.0ms	t	@	-inf	((/ 1 3) (/ (* 3 (/ x (* y 27))) (* z 2)) (* 3 (/ x (* y 27))) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))
3.0ms	y	@	0	((/ 1 3) (/ (* 3 (/ x (* y 27))) (* z 2)) (* 3 (/ x (* y 27))) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))
2.0ms	x	@	inf	((/ 1 3) (/ (* 3 (/ x (* y 27))) (* z 2)) (* 3 (/ x (* y 27))) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))
2.0ms	t	@	0	((/ 1 3) (/ (* 3 (/ x (* y 27))) (* z 2)) (* 3 (/ x (* y 27))) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))
2.0ms	x	@	-inf	((/ 1 3) (/ (* 3 (/ x (* y 27))) (* z 2)) (* 3 (/ x (* y 27))) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))

simplify138.0ms (0.5%)

Memory

38.8MiB live, 109.6MiB 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	719	1476
4	2547	1476
5	4430	1476
6	6203	1476
0	8064	1476

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

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

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

rewrite207.0ms (0.7%)

Memory

-12.8MiB live, 261.3MiB allocated

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
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eval7.5s (26.2%)

Memory: 8.4MiB live, 167.2MiB allocated
Compiler: Compiled 12 388 to 2 590 computations (79.1% saved)

prune70.0ms (0.2%)

Memory

-45.3MiB live, 149.7MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	670	4	674
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	671	4	675

Accuracy

98.5%

Counts

675 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.2%	(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))))
▶	98.4%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))))
▶	97.2%	(.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64))
▶	97.7%	#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (.f64 (acos.f64 (.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)))

Compiler

Compiled 79 to 66 computations (16.5% saved)

simplify245.0ms (0.9%)

Memory

-4.1MiB live, 113.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Rules

3 396×	`lower-*.f32`
3 372×	`lower-*.f64`
1 832×	`lower-fma.f32`
1 830×	`lower-fma.f64`
1 520×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	421
0	84	421
1	138	411
2	297	401
3	709	401
4	1892	401
5	3508	401
6	3824	401
7	4227	401
8	4949	401
9	5635	401
10	6277	401
11	7022	401
12	7159	401
13	7159	401
14	7251	401
15	7344	401
16	7362	401
17	7454	401
18	7610	401
19	7610	401
0	8052	399

Stop Event

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

Calls

Call 1

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

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

localize166.0ms (0.6%)

Memory

46.3MiB live, 234.1MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.19921875	(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
accuracy	0.98046875	(.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64))
accuracy	2.8686202787303627	(.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
accuracy	4.175332817398941	(/.f64 (/.f64 x y) z)
accuracy	0.19921875	(.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))
accuracy	0.984375	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))))
accuracy	2.8686202787303627	(.f64 #s(approx (/ ( 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))
accuracy	4.737456603276054	(/.f64 x (*.f64 z y))
accuracy	0.19921875	(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
accuracy	0.984375	(.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64))
accuracy	2.8686202787303627	(.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
accuracy	4.175332817398941	(/.f64 (/.f64 x y) z)
accuracy	0.24609375	(.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
accuracy	0.984375	(.f64 (acos.f64 (.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
accuracy	2.507548060463349	(/.f64 (/.f64 (sqrt.f64 t) z) y)
accuracy	5.4143052371315274	(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)

Samples

126.0ms

256×

valid

Compiler

Compiled 385 to 49 computations (87.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 70.0ms

ival-mult: 29.0ms (41.4% of total)

ival-div: 15.0ms (21.4% of total)

const: 9.0ms (12.8% of total)

ival-acos: 7.0ms (10% of total)

ival-pow2: 3.0ms (4.3% of total)

ival-asin: 2.0ms (2.9% of total)

ival-sqrt: 2.0ms (2.9% of total)

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

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

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

exact: 1.0ms (1.4% of total)

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

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

series133.0ms (0.5%)

Memory

-6.8MiB live, 115.1MiB allocated

Counts

22 → 864

Calls

Call 1

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

Outputs
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt #s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (.f64 (acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))) (patch #s(approx ( (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (.f64 (acos.f64 (.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt #s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (.f64 (acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))) (patch #s(approx ( (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (.f64 (acos.f64 (.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt #s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (.f64 (acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))) (patch #s(approx ( (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (.f64 (acos.f64 (.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt #s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (.f64 (acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))) (patch #s(approx ( (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (.f64 (acos.f64 (.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (.f64 (acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)) (patch (.f64 (acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (.f64 (acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)) (patch (.f64 (acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (.f64 (acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)) (patch (.f64 (acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (.f64 (acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)) (patch (.f64 (acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (taylor 0 t) (#s(alt (acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) (patch (acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #<representation binary64>) () ())) ())
#s(alt (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (taylor 0 t) (#s(alt (acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) (patch (acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #<representation binary64>) () ())) ())
#s(alt (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (taylor 0 t) (#s(alt (acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) (patch (acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #<representation binary64>) () ())) ())
#s(alt (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (taylor 0 t) (#s(alt (acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) (patch (acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor 0 t) (#s(alt (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)) (patch (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor 0 t) (#s(alt (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)) (patch (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor 0 t) (#s(alt (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)) (patch (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor 0 t) (#s(alt (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)) (patch (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64)) (patch (.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64)) (patch (.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64)) (patch (.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64)) (patch (.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (taylor 0 t) (#s(alt (acos.f64 (.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) (patch (acos.f64 (.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #<representation binary64>) () ())) ())
#s(alt (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (taylor 0 t) (#s(alt (acos.f64 (.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) (patch (acos.f64 (.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #<representation binary64>) () ())) ())
#s(alt (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (taylor 0 t) (#s(alt (acos.f64 (.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) (patch (acos.f64 (.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #<representation binary64>) () ())) ())
#s(alt (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (taylor 0 t) (#s(alt (acos.f64 (.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) (patch (acos.f64 (.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor 0 t) (#s(alt (.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))) (patch (.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor 0 t) (#s(alt (.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))) (patch (.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor 0 t) (#s(alt (.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))) (patch (.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor 0 t) (#s(alt (.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))) (patch (.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))) #<representation binary64>) () ())) ())
#s(alt (sqrt t) (taylor 0 t) (#s(alt (sqrt.f64 t) (patch (sqrt.f64 t) #<representation binary64>) () ())) ())
#s(alt (sqrt t) (taylor 0 t) (#s(alt (sqrt.f64 t) (patch (sqrt.f64 t) #<representation binary64>) () ())) ())
#s(alt (sqrt t) (taylor 0 t) (#s(alt (sqrt.f64 t) (patch (sqrt.f64 t) #<representation binary64>) () ())) ())
#s(alt (sqrt t) (taylor 0 t) (#s(alt (sqrt.f64 t) (patch (sqrt.f64 t) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)))) (patch (.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)))) (patch (.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)))) (patch (.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)))) (patch (.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)))) #<representation binary64>) () ())) ())
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#s(alt (/ x (* y z)) (taylor -inf x) (#s(alt (/.f64 (/.f64 x y) z) (patch (/.f64 (/.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (/ x (* y z)) (taylor -inf x) (#s(alt (/.f64 (/.f64 x y) z) (patch (/.f64 (/.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (/ x (* y z)) (taylor -inf x) (#s(alt (/.f64 (/.f64 x y) z) (patch (/.f64 (/.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (/ x (* y z))) (taylor -inf x) (#s(alt (.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (patch (.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (/ x (* y z))) (taylor -inf x) (#s(alt (.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (patch (.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (/ x (* y z))) (taylor -inf x) (#s(alt (.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (patch (.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (/ x (* y z))) (taylor -inf x) (#s(alt (.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (patch (.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) #<representation binary64>) () ())) ())
#s(alt (/ x (* y z)) (taylor -inf x) (#s(alt (/.f64 x (.f64 z y)) (patch (/.f64 x (.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (/ x (* y z)) (taylor -inf x) (#s(alt (/.f64 x (.f64 z y)) (patch (/.f64 x (.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (/ x (* y z)) (taylor -inf x) (#s(alt (/.f64 x (.f64 z y)) (patch (/.f64 x (.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (/ x (* y z)) (taylor -inf x) (#s(alt (/.f64 x (.f64 z y)) (patch (/.f64 x (.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (/ x (* y z))) (taylor -inf x) (#s(alt (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64)) (patch (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (/ x (* y z))) (taylor -inf x) (#s(alt (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64)) (patch (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (/ x (* y z))) (taylor -inf x) (#s(alt (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64)) (patch (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (/ x (* y z))) (taylor -inf x) (#s(alt (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64)) (patch (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64)) #<representation binary64>) () ())) ())

Calls

12 calls:

Time	Variable		Point	Expression
24.0ms	z	@	-inf	((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 1/3) (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (* (* (/ (/ (sqrt t) z) y) x) 1/18) (* (acos (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 1/3) (acos (* (sqrt t) (* 1/18 (/ (/ x y) z)))) (* (sqrt t) (* 1/18 (/ (/ x y) z))) (sqrt t) (/ 1 3) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (* (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) 1/3) (/ (* (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) 1/3) (+ (* 1/2 (PI)) (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))))) (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) (* 1/4 (* (PI) (PI))) (* (/ (/ (sqrt t) z) y) x) (/ (/ (sqrt t) z) y) (/ (/ x y) z) (* 1/18 (/ (/ x y) z)) (/ x (* z y)) (* (/ x (* z y)) 1/18))
12.0ms	x	@	-inf	((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 1/3) (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (* (* (/ (/ (sqrt t) z) y) x) 1/18) (* (acos (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 1/3) (acos (* (sqrt t) (* 1/18 (/ (/ x y) z)))) (* (sqrt t) (* 1/18 (/ (/ x y) z))) (sqrt t) (/ 1 3) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (* (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) 1/3) (/ (* (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) 1/3) (+ (* 1/2 (PI)) (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))))) (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) (* 1/4 (* (PI) (PI))) (* (/ (/ (sqrt t) z) y) x) (/ (/ (sqrt t) z) y) (/ (/ x y) z) (* 1/18 (/ (/ x y) z)) (/ x (* z y)) (* (/ x (* z y)) 1/18))
7.0ms	t	@	0	((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 1/3) (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (* (* (/ (/ (sqrt t) z) y) x) 1/18) (* (acos (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 1/3) (acos (* (sqrt t) (* 1/18 (/ (/ x y) z)))) (* (sqrt t) (* 1/18 (/ (/ x y) z))) (sqrt t) (/ 1 3) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (* (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) 1/3) (/ (* (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) 1/3) (+ (* 1/2 (PI)) (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))))) (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) (* 1/4 (* (PI) (PI))) (* (/ (/ (sqrt t) z) y) x) (/ (/ (sqrt t) z) y) (/ (/ x y) z) (* 1/18 (/ (/ x y) z)) (/ x (* z y)) (* (/ x (* z y)) 1/18))
5.0ms	t	@	-inf	((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 1/3) (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (* (* (/ (/ (sqrt t) z) y) x) 1/18) (* (acos (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 1/3) (acos (* (sqrt t) (* 1/18 (/ (/ x y) z)))) (* (sqrt t) (* 1/18 (/ (/ x y) z))) (sqrt t) (/ 1 3) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (* (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) 1/3) (/ (* (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) 1/3) (+ (* 1/2 (PI)) (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))))) (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) (* 1/4 (* (PI) (PI))) (* (/ (/ (sqrt t) z) y) x) (/ (/ (sqrt t) z) y) (/ (/ x y) z) (* 1/18 (/ (/ x y) z)) (/ x (* z y)) (* (/ x (* z y)) 1/18))
4.0ms	y	@	-inf	((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 1/3) (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (* (* (/ (/ (sqrt t) z) y) x) 1/18) (* (acos (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 1/3) (acos (* (sqrt t) (* 1/18 (/ (/ x y) z)))) (* (sqrt t) (* 1/18 (/ (/ x y) z))) (sqrt t) (/ 1 3) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (* (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) 1/3) (/ (* (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) 1/3) (+ (* 1/2 (PI)) (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))))) (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) (* 1/4 (* (PI) (PI))) (* (/ (/ (sqrt t) z) y) x) (/ (/ (sqrt t) z) y) (/ (/ x y) z) (* 1/18 (/ (/ x y) z)) (/ x (* z y)) (* (/ x (* z y)) 1/18))

simplify149.0ms (0.5%)

Memory

3.3MiB live, 237.3MiB allocated

Algorithm

1×	egg-herbie

Rules

3 852×	`lower-*.f64`
3 852×	`lower-*.f32`
2 682×	`lower-fma.f64`
2 682×	`lower-fma.f32`
1 916×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	10996
1	129	10748
2	391	10704
3	1785	10704
4	4879	10704
5	7222	10704
0	8275	10560

Stop Event

1×	iter limit
1×	node limit

Counts

864 → 864

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

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

rewrite206.0ms (0.7%)

Memory

-8.3MiB live, 378.7MiB allocated

Rules

4 544×	`lower-*.f32`
4 520×	`lower-*.f64`
4 470×	`lower-/.f32`
4 458×	`lower-/.f64`
3 620×	`lower-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	53	291
0	84	268
1	241	260
2	1470	252
0	8337	252

Stop Event

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

Counts

22 → 1 726

Calls

Call 1

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

Outputs
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eval1.0s (3.7%)

Memory: -124.2MiB live, 1 215.3MiB allocated
Compiler: Compiled 120 505 to 9 847 computations (91.8% saved)

prune581.0ms (2%)

Memory

-13.4MiB live, 477.7MiB allocated

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	3 945	5	3 950
Fresh	0	0	0
Picked	3	1	4
Done	0	0	0
Total	3 948	6	3 954

Accuracy

100.0%

Counts

3 954 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(pow.f64 (.f64 (pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64))
▶	96.8%	(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (.f64 y z))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))))
▶	97.7%	(/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))) #s(literal -1 binary64)) #s(literal 3 binary64)))
▶	97.7%	(/.f64 #s(literal 1/3 binary64) (.f64 (pow.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))) #s(literal 2 binary64))) #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))))))
▶	98.4%	(.f64 (acos.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 y z)))) #s(literal 1/3 binary64))
✓	97.2%	(.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64))

Compiler

Compiled 255 to 211 computations (17.3% saved)

simplify1.5s (5.1%)

Memory

10.4MiB live, 89.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))) #s(literal 2 binary64)))
cost-diff	192	(.f64 (pow.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))) #s(literal 2 binary64))) #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y))))))
cost-diff	512	(/.f64 #s(literal 1/3 binary64) (.f64 (pow.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))) #s(literal 2 binary64))) #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))))))
cost-diff	5888	(pow.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))) #s(literal 2 binary64))) #s(literal -1 binary64))
cost-diff	0	(.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64)))
cost-diff	0	(-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 y z))) #s(literal 2 binary64)))
cost-diff	0	(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (.f64 y z))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))))
cost-diff	128	(.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (.f64 y z))) #s(literal 2 binary64))) #s(literal 1/3 binary64))
cost-diff	0	(acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y))))
cost-diff	0	(pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))) #s(literal -1 binary64))
cost-diff	1088	(/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))) #s(literal -1 binary64)) #s(literal 3 binary64)))
cost-diff	6080	(.f64 (pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))) #s(literal -1 binary64)) #s(literal 3 binary64))
cost-diff	0	(sqrt.f64 t)
cost-diff	0	(.f64 (sqrt.f64 t) (/.f64 (.f64 #s(literal 1/18 binary64) x) (*.f64 y z)))
cost-diff	0	(acos.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 #s(literal 1/18 binary64) x) (*.f64 y z))))
cost-diff	0	(.f64 (acos.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 y z)))) #s(literal 1/3 binary64))
cost-diff	0	(acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y))))
cost-diff	0	(pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))) #s(literal -1 binary64))
cost-diff	6080	(.f64 (pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))) #s(literal -1 binary64)) #s(literal 3 binary64))
cost-diff	6848	(pow.f64 (.f64 (pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64))

Rules

2 776×	`lower-fma.f32`
2 774×	`lower-fma.f64`
2 228×	`lower-*.f32`
2 198×	`lower-*.f64`
820×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	636
0	95	638
1	170	622
2	321	620
3	499	620
4	717	620
5	1122	620
6	1687	620
7	2492	620
8	3429	620
9	4206	620
10	4423	620
11	4452	620
12	4453	620
13	4453	620
14	4627	620
15	4703	620
16	4703	620
17	4703	620
18	4721	620
19	4721	620
20	4761	620
0	4761	616

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize283.0ms (1%)

Memory

-19.7MiB live, 415.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.24609375	(.f64 #s(literal 1/18 binary64) (.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))
accuracy	0.9765625	(/.f64 #s(literal 1/3 binary64) (.f64 (pow.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))) #s(literal 2 binary64))) #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))))))
accuracy	2.507548060463349	(/.f64 (/.f64 (sqrt.f64 t) z) y)
accuracy	5.4143052371315274	(*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y))
accuracy	0.98046875	(.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (.f64 y z))) #s(literal 2 binary64))) #s(literal 1/3 binary64))
accuracy	2.8686202787303627	(.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
accuracy	4.175332817398941	(/.f64 (/.f64 x y) z)
accuracy	8.12943326581352	(/.f64 (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 y z))
accuracy	0.24609375	(.f64 #s(literal 1/18 binary64) (.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))
accuracy	0.9765625	(/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))) #s(literal -1 binary64)) #s(literal 3 binary64)))
accuracy	2.507548060463349	(/.f64 (/.f64 (sqrt.f64 t) z) y)
accuracy	5.4143052371315274	(*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y))
accuracy	0.390625	(*.f64 #s(literal 1/18 binary64) x)
accuracy	0.984375	(.f64 (acos.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 y z)))) #s(literal 1/3 binary64))
accuracy	2.8686202787303627	(.f64 (sqrt.f64 t) (/.f64 (.f64 #s(literal 1/18 binary64) x) (*.f64 y z)))
accuracy	4.693527674792483	(/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 y z))
accuracy	0.24609375	(/.f64 (sqrt.f64 t) z)
accuracy	0.24609375	(.f64 #s(literal 1/18 binary64) (.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))
accuracy	2.507548060463349	(/.f64 (/.f64 (sqrt.f64 t) z) y)
accuracy	5.4143052371315274	(*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y))

Samples

225.0ms

256×

valid

Compiler

Compiled 643 to 56 computations (91.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 192.0ms

ival-mult: 78.0ms (40.6% of total)

ival-acos: 28.0ms (14.6% of total)

ival-sqrt: 23.0ms (12% of total)

ival-add: 19.0ms (9.9% of total)

ival-div: 15.0ms (7.8% of total)

const: 9.0ms (4.7% of total)

ival-pow: 7.0ms (3.6% of total)

ival-asin: 5.0ms (2.6% of total)

ival-pow2: 5.0ms (2.6% of total)

ival-sub: 2.0ms (1% of total)

ival-pi: 1.0ms (0.5% of total)

exact: 1.0ms (0.5% of total)

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

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

series153.0ms (0.5%)

Memory

16.0MiB live, 241.8MiB allocated

Counts

26 → 1 068

Calls

Call 1

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

Outputs
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (pow.f64 (.f64 (pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) (patch (pow.f64 (.f64 (pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (pow.f64 (.f64 (pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) (patch (pow.f64 (.f64 (pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (pow.f64 (.f64 (pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) (patch (pow.f64 (.f64 (pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (pow.f64 (.f64 (pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) (patch (pow.f64 (.f64 (pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (.f64 (pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))) #s(literal -1 binary64)) #s(literal 3 binary64)) (patch (.f64 (pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))) #s(literal -1 binary64)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (.f64 (pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))) #s(literal -1 binary64)) #s(literal 3 binary64)) (patch (.f64 (pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))) #s(literal -1 binary64)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (.f64 (pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))) #s(literal -1 binary64)) #s(literal 3 binary64)) (patch (.f64 (pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))) #s(literal -1 binary64)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (.f64 (pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))) #s(literal -1 binary64)) #s(literal 3 binary64)) (patch (.f64 (pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))) #s(literal -1 binary64)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))) #s(literal -1 binary64)) (patch (pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))) #s(literal -1 binary64)) (patch (pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))) #s(literal -1 binary64)) (patch (pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))) #s(literal -1 binary64)) (patch (pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (taylor 0 t) (#s(alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))) (patch (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))) #<representation binary64>) () ())) ())
#s(alt (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (taylor 0 t) (#s(alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))) (patch (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))) #<representation binary64>) () ())) ())
#s(alt (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (taylor 0 t) (#s(alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))) (patch (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))) #<representation binary64>) () ())) ())
#s(alt (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (taylor 0 t) (#s(alt (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))) (patch (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (.f64 (acos.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 y z)))) #s(literal 1/3 binary64)) (patch (.f64 (acos.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 y z)))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (.f64 (acos.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 y z)))) #s(literal 1/3 binary64)) (patch (.f64 (acos.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 y z)))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (.f64 (acos.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 y z)))) #s(literal 1/3 binary64)) (patch (.f64 (acos.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 y z)))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (.f64 (acos.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 y z)))) #s(literal 1/3 binary64)) (patch (.f64 (acos.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 y z)))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (taylor 0 t) (#s(alt (acos.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 y z)))) (patch (acos.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 y z)))) #<representation binary64>) () ())) ())
#s(alt (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (taylor 0 t) (#s(alt (acos.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 y z)))) (patch (acos.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 y z)))) #<representation binary64>) () ())) ())
#s(alt (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (taylor 0 t) (#s(alt (acos.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 y z)))) (patch (acos.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 y z)))) #<representation binary64>) () ())) ())
#s(alt (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (taylor 0 t) (#s(alt (acos.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 y z)))) (patch (acos.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 y z)))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor 0 t) (#s(alt (.f64 (sqrt.f64 t) (/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 y z))) (patch (.f64 (sqrt.f64 t) (/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor 0 t) (#s(alt (.f64 (sqrt.f64 t) (/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 y z))) (patch (.f64 (sqrt.f64 t) (/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor 0 t) (#s(alt (.f64 (sqrt.f64 t) (/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 y z))) (patch (.f64 (sqrt.f64 t) (/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor 0 t) (#s(alt (.f64 (sqrt.f64 t) (/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 y z))) (patch (.f64 (sqrt.f64 t) (/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (sqrt t) (taylor 0 t) (#s(alt (sqrt.f64 t) (patch (sqrt.f64 t) #<representation binary64>) () ())) ())
#s(alt (sqrt t) (taylor 0 t) (#s(alt (sqrt.f64 t) (patch (sqrt.f64 t) #<representation binary64>) () ())) ())
#s(alt (sqrt t) (taylor 0 t) (#s(alt (sqrt.f64 t) (patch (sqrt.f64 t) #<representation binary64>) () ())) ())
#s(alt (sqrt t) (taylor 0 t) (#s(alt (sqrt.f64 t) (patch (sqrt.f64 t) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))) #s(literal -1 binary64)) #s(literal 3 binary64))) (patch (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))) #s(literal -1 binary64)) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))) #s(literal -1 binary64)) #s(literal 3 binary64))) (patch (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))) #s(literal -1 binary64)) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))) #s(literal -1 binary64)) #s(literal 3 binary64))) (patch (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))) #s(literal -1 binary64)) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))) #s(literal -1 binary64)) #s(literal 3 binary64))) (patch (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))) #s(literal -1 binary64)) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (taylor 0 t) (#s(alt (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (.f64 y z))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (patch (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (.f64 y z))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (taylor 0 t) (#s(alt (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (.f64 y z))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (patch (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (.f64 y z))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (taylor 0 t) (#s(alt (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (.f64 y z))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (patch (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (.f64 y z))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (taylor 0 t) (#s(alt (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (.f64 y z))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (patch (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (.f64 y z))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(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))))) (taylor 0 t) (#s(alt (/.f64 (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (.f64 y z))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))))) (patch (/.f64 (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (.f64 y z))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))))) #<representation binary64>) () ())) ())
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#s(alt (/ (+ (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))) (taylor -inf x) (#s(alt (.f64 (pow.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))) #s(literal 2 binary64))) #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))))) (patch (.f64 (pow.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))) #s(literal 2 binary64))) #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (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))) (taylor -inf x) (#s(alt (.f64 (pow.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))) #s(literal 2 binary64))) #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))))) (patch (.f64 (pow.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))) #s(literal 2 binary64))) #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))))) #<representation binary64>) () ())) ())
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#s(alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (taylor -inf x) (#s(alt (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))) #s(literal 2 binary64))) (patch (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor -inf x) (#s(alt (.f64 #s(literal 1/18 binary64) (.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y))) (patch (.f64 #s(literal 1/18 binary64) (.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor -inf x) (#s(alt (.f64 #s(literal 1/18 binary64) (.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y))) (patch (.f64 #s(literal 1/18 binary64) (.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor -inf x) (#s(alt (.f64 #s(literal 1/18 binary64) (.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y))) (patch (.f64 #s(literal 1/18 binary64) (.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (/ x (* y z))) (taylor -inf x) (#s(alt (/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 y z)) (patch (/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (/ x (* y z))) (taylor -inf x) (#s(alt (/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 y z)) (patch (/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (/ x (* y z))) (taylor -inf x) (#s(alt (/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 y z)) (patch (/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (/ x (* y z))) (taylor -inf x) (#s(alt (/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 y z)) (patch (/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 x) (taylor -inf x) (#s(alt (.f64 #s(literal 1/18 binary64) x) (patch (.f64 #s(literal 1/18 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/18 x) (taylor -inf x) (#s(alt (.f64 #s(literal 1/18 binary64) x) (patch (.f64 #s(literal 1/18 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/18 x) (taylor -inf x) (#s(alt (.f64 #s(literal 1/18 binary64) x) (patch (.f64 #s(literal 1/18 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/18 x) (taylor -inf x) (#s(alt (.f64 #s(literal 1/18 binary64) x) (patch (.f64 #s(literal 1/18 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor -inf x) (#s(alt (/.f64 (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (.f64 y z)) (patch (/.f64 (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor -inf x) (#s(alt (/.f64 (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (.f64 y z)) (patch (/.f64 (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor -inf x) (#s(alt (/.f64 (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (.f64 y z)) (patch (/.f64 (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor -inf x) (#s(alt (/.f64 (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (.f64 y z)) (patch (/.f64 (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (/ x (* y z)) (taylor -inf x) (#s(alt (/.f64 (/.f64 x y) z) (patch (/.f64 (/.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (/ x (* y z)) (taylor -inf x) (#s(alt (/.f64 (/.f64 x y) z) (patch (/.f64 (/.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (/ x (* y z)) (taylor -inf x) (#s(alt (/.f64 (/.f64 x y) z) (patch (/.f64 (/.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (/ x (* y z)) (taylor -inf x) (#s(alt (/.f64 (/.f64 x y) z) (patch (/.f64 (/.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))) (patch (.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))) (patch (.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))) (patch (.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))) (patch (.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))) #<representation binary64>) () ())) ())

Calls

12 calls:

Time	Variable		Point	Expression
7.0ms	t	@	inf	((pow (* (pow (acos (* 1/18 (* x (/ (/ (sqrt t) z) y)))) -1) 3) -1) (* (pow (acos (* 1/18 (* x (/ (/ (sqrt t) z) y)))) -1) 3) (pow (acos (* 1/18 (* x (/ (/ (sqrt t) z) y)))) -1) (acos (* 1/18 (* x (/ (/ (sqrt t) z) y)))) (* (acos (* (sqrt t) (/ (* 1/18 x) (* y z)))) 1/3) (acos (* (sqrt t) (/ (* 1/18 x) (* y z)))) (* (sqrt t) (/ (* 1/18 x) (* y z))) (sqrt t) (/ 1 (* (pow (acos (* 1/18 (* x (/ (/ (sqrt t) z) y)))) -1) 3)) (* (- (* 1/4 (* (PI) (PI))) (pow (asin (/ (* (* 1/18 (sqrt t)) x) (* y z))) 2)) 1/3) (/ (* (- (* 1/4 (* (PI) (PI))) (pow (asin (/ (* (* 1/18 (sqrt t)) x) (* y z))) 2)) 1/3) (+ (* 1/2 (PI)) (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))))) (- (* 1/4 (* (PI) (PI))) (pow (asin (/ (* (* 1/18 (sqrt t)) x) (* y z))) 2)) (* 1/4 (* (PI) (PI))) (pow (- (* (* (PI) (PI)) 1/4) (pow (asin (* 1/18 (* x (/ (/ (sqrt t) z) y)))) 2)) -1) (/ 1/3 (* (pow (- (* (* (PI) (PI)) 1/4) (pow (asin (* 1/18 (* x (/ (/ (sqrt t) z) y)))) 2)) -1) (+ (* 1/2 (PI)) (asin (* 1/18 (* x (/ (/ (sqrt t) z) y))))))) (* (pow (- (* (* (PI) (PI)) 1/4) (pow (asin (* 1/18 (* x (/ (/ (sqrt t) z) y)))) 2)) -1) (+ (* 1/2 (PI)) (asin (* 1/18 (* x (/ (/ (sqrt t) z) y)))))) (- (* (* (PI) (PI)) 1/4) (pow (asin (* 1/18 (* x (/ (/ (sqrt t) z) y)))) 2)) (* x (/ (/ (sqrt t) z) y)) (/ (/ (sqrt t) z) y) (* 1/18 (* x (/ (/ (sqrt t) z) y))) (/ (sqrt t) z) (/ (* 1/18 x) (* y z)) (* 1/18 x) (/ (* (* 1/18 (sqrt t)) x) (* y z)) (/ (/ x y) z) (* (sqrt t) (* 1/18 (/ (/ x y) z))))
6.0ms	z	@	inf	((pow (* (pow (acos (* 1/18 (* x (/ (/ (sqrt t) z) y)))) -1) 3) -1) (* (pow (acos (* 1/18 (* x (/ (/ (sqrt t) z) y)))) -1) 3) (pow (acos (* 1/18 (* x (/ (/ (sqrt t) z) y)))) -1) (acos (* 1/18 (* x (/ (/ (sqrt t) z) y)))) (* (acos (* (sqrt t) (/ (* 1/18 x) (* y z)))) 1/3) (acos (* (sqrt t) (/ (* 1/18 x) (* y z)))) (* (sqrt t) (/ (* 1/18 x) (* y z))) (sqrt t) (/ 1 (* (pow (acos (* 1/18 (* x (/ (/ (sqrt t) z) y)))) -1) 3)) (* (- (* 1/4 (* (PI) (PI))) (pow (asin (/ (* (* 1/18 (sqrt t)) x) (* y z))) 2)) 1/3) (/ (* (- (* 1/4 (* (PI) (PI))) (pow (asin (/ (* (* 1/18 (sqrt t)) x) (* y z))) 2)) 1/3) (+ (* 1/2 (PI)) (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))))) (- (* 1/4 (* (PI) (PI))) (pow (asin (/ (* (* 1/18 (sqrt t)) x) (* y z))) 2)) (* 1/4 (* (PI) (PI))) (pow (- (* (* (PI) (PI)) 1/4) (pow (asin (* 1/18 (* x (/ (/ (sqrt t) z) y)))) 2)) -1) (/ 1/3 (* (pow (- (* (* (PI) (PI)) 1/4) (pow (asin (* 1/18 (* x (/ (/ (sqrt t) z) y)))) 2)) -1) (+ (* 1/2 (PI)) (asin (* 1/18 (* x (/ (/ (sqrt t) z) y))))))) (* (pow (- (* (* (PI) (PI)) 1/4) (pow (asin (* 1/18 (* x (/ (/ (sqrt t) z) y)))) 2)) -1) (+ (* 1/2 (PI)) (asin (* 1/18 (* x (/ (/ (sqrt t) z) y)))))) (- (* (* (PI) (PI)) 1/4) (pow (asin (* 1/18 (* x (/ (/ (sqrt t) z) y)))) 2)) (* x (/ (/ (sqrt t) z) y)) (/ (/ (sqrt t) z) y) (* 1/18 (* x (/ (/ (sqrt t) z) y))) (/ (sqrt t) z) (/ (* 1/18 x) (* y z)) (* 1/18 x) (/ (* (* 1/18 (sqrt t)) x) (* y z)) (/ (/ x y) z) (* (sqrt t) (* 1/18 (/ (/ x y) z))))
6.0ms	t	@	-inf	((pow (* (pow (acos (* 1/18 (* x (/ (/ (sqrt t) z) y)))) -1) 3) -1) (* (pow (acos (* 1/18 (* x (/ (/ (sqrt t) z) y)))) -1) 3) (pow (acos (* 1/18 (* x (/ (/ (sqrt t) z) y)))) -1) (acos (* 1/18 (* x (/ (/ (sqrt t) z) y)))) (* (acos (* (sqrt t) (/ (* 1/18 x) (* y z)))) 1/3) (acos (* (sqrt t) (/ (* 1/18 x) (* y z)))) (* (sqrt t) (/ (* 1/18 x) (* y z))) (sqrt t) (/ 1 (* (pow (acos (* 1/18 (* x (/ (/ (sqrt t) z) y)))) -1) 3)) (* (- (* 1/4 (* (PI) (PI))) (pow (asin (/ (* (* 1/18 (sqrt t)) x) (* y z))) 2)) 1/3) (/ (* (- (* 1/4 (* (PI) (PI))) (pow (asin (/ (* (* 1/18 (sqrt t)) x) (* y z))) 2)) 1/3) (+ (* 1/2 (PI)) (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))))) (- (* 1/4 (* (PI) (PI))) (pow (asin (/ (* (* 1/18 (sqrt t)) x) (* y z))) 2)) (* 1/4 (* (PI) (PI))) (pow (- (* (* (PI) (PI)) 1/4) (pow (asin (* 1/18 (* x (/ (/ (sqrt t) z) y)))) 2)) -1) (/ 1/3 (* (pow (- (* (* (PI) (PI)) 1/4) (pow (asin (* 1/18 (* x (/ (/ (sqrt t) z) y)))) 2)) -1) (+ (* 1/2 (PI)) (asin (* 1/18 (* x (/ (/ (sqrt t) z) y))))))) (* (pow (- (* (* (PI) (PI)) 1/4) (pow (asin (* 1/18 (* x (/ (/ (sqrt t) z) y)))) 2)) -1) (+ (* 1/2 (PI)) (asin (* 1/18 (* x (/ (/ (sqrt t) z) y)))))) (- (* (* (PI) (PI)) 1/4) (pow (asin (* 1/18 (* x (/ (/ (sqrt t) z) y)))) 2)) (* x (/ (/ (sqrt t) z) y)) (/ (/ (sqrt t) z) y) (* 1/18 (* x (/ (/ (sqrt t) z) y))) (/ (sqrt t) z) (/ (* 1/18 x) (* y z)) (* 1/18 x) (/ (* (* 1/18 (sqrt t)) x) (* y z)) (/ (/ x y) z) (* (sqrt t) (* 1/18 (/ (/ x y) z))))
6.0ms	y	@	inf	((pow (* (pow (acos (* 1/18 (* x (/ (/ (sqrt t) z) y)))) -1) 3) -1) (* (pow (acos (* 1/18 (* x (/ (/ (sqrt t) z) y)))) -1) 3) (pow (acos (* 1/18 (* x (/ (/ (sqrt t) z) y)))) -1) (acos (* 1/18 (* x (/ (/ (sqrt t) z) y)))) (* (acos (* (sqrt t) (/ (* 1/18 x) (* y z)))) 1/3) (acos (* (sqrt t) (/ (* 1/18 x) (* y z)))) (* (sqrt t) (/ (* 1/18 x) (* y z))) (sqrt t) (/ 1 (* (pow (acos (* 1/18 (* x (/ (/ (sqrt t) z) y)))) -1) 3)) (* (- (* 1/4 (* (PI) (PI))) (pow (asin (/ (* (* 1/18 (sqrt t)) x) (* y z))) 2)) 1/3) (/ (* (- (* 1/4 (* (PI) (PI))) (pow (asin (/ (* (* 1/18 (sqrt t)) x) (* y z))) 2)) 1/3) (+ (* 1/2 (PI)) (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))))) (- (* 1/4 (* (PI) (PI))) (pow (asin (/ (* (* 1/18 (sqrt t)) x) (* y z))) 2)) (* 1/4 (* (PI) (PI))) (pow (- (* (* (PI) (PI)) 1/4) (pow (asin (* 1/18 (* x (/ (/ (sqrt t) z) y)))) 2)) -1) (/ 1/3 (* (pow (- (* (* (PI) (PI)) 1/4) (pow (asin (* 1/18 (* x (/ (/ (sqrt t) z) y)))) 2)) -1) (+ (* 1/2 (PI)) (asin (* 1/18 (* x (/ (/ (sqrt t) z) y))))))) (* (pow (- (* (* (PI) (PI)) 1/4) (pow (asin (* 1/18 (* x (/ (/ (sqrt t) z) y)))) 2)) -1) (+ (* 1/2 (PI)) (asin (* 1/18 (* x (/ (/ (sqrt t) z) y)))))) (- (* (* (PI) (PI)) 1/4) (pow (asin (* 1/18 (* x (/ (/ (sqrt t) z) y)))) 2)) (* x (/ (/ (sqrt t) z) y)) (/ (/ (sqrt t) z) y) (* 1/18 (* x (/ (/ (sqrt t) z) y))) (/ (sqrt t) z) (/ (* 1/18 x) (* y z)) (* 1/18 x) (/ (* (* 1/18 (sqrt t)) x) (* y z)) (/ (/ x y) z) (* (sqrt t) (* 1/18 (/ (/ x y) z))))
6.0ms	z	@	-inf	((pow (* (pow (acos (* 1/18 (* x (/ (/ (sqrt t) z) y)))) -1) 3) -1) (* (pow (acos (* 1/18 (* x (/ (/ (sqrt t) z) y)))) -1) 3) (pow (acos (* 1/18 (* x (/ (/ (sqrt t) z) y)))) -1) (acos (* 1/18 (* x (/ (/ (sqrt t) z) y)))) (* (acos (* (sqrt t) (/ (* 1/18 x) (* y z)))) 1/3) (acos (* (sqrt t) (/ (* 1/18 x) (* y z)))) (* (sqrt t) (/ (* 1/18 x) (* y z))) (sqrt t) (/ 1 (* (pow (acos (* 1/18 (* x (/ (/ (sqrt t) z) y)))) -1) 3)) (* (- (* 1/4 (* (PI) (PI))) (pow (asin (/ (* (* 1/18 (sqrt t)) x) (* y z))) 2)) 1/3) (/ (* (- (* 1/4 (* (PI) (PI))) (pow (asin (/ (* (* 1/18 (sqrt t)) x) (* y z))) 2)) 1/3) (+ (* 1/2 (PI)) (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))))) (- (* 1/4 (* (PI) (PI))) (pow (asin (/ (* (* 1/18 (sqrt t)) x) (* y z))) 2)) (* 1/4 (* (PI) (PI))) (pow (- (* (* (PI) (PI)) 1/4) (pow (asin (* 1/18 (* x (/ (/ (sqrt t) z) y)))) 2)) -1) (/ 1/3 (* (pow (- (* (* (PI) (PI)) 1/4) (pow (asin (* 1/18 (* x (/ (/ (sqrt t) z) y)))) 2)) -1) (+ (* 1/2 (PI)) (asin (* 1/18 (* x (/ (/ (sqrt t) z) y))))))) (* (pow (- (* (* (PI) (PI)) 1/4) (pow (asin (* 1/18 (* x (/ (/ (sqrt t) z) y)))) 2)) -1) (+ (* 1/2 (PI)) (asin (* 1/18 (* x (/ (/ (sqrt t) z) y)))))) (- (* (* (PI) (PI)) 1/4) (pow (asin (* 1/18 (* x (/ (/ (sqrt t) z) y)))) 2)) (* x (/ (/ (sqrt t) z) y)) (/ (/ (sqrt t) z) y) (* 1/18 (* x (/ (/ (sqrt t) z) y))) (/ (sqrt t) z) (/ (* 1/18 x) (* y z)) (* 1/18 x) (/ (* (* 1/18 (sqrt t)) x) (* y z)) (/ (/ x y) z) (* (sqrt t) (* 1/18 (/ (/ x y) z))))

simplify219.0ms (0.8%)

Memory

21.7MiB live, 301.3MiB allocated

Algorithm

1×	egg-herbie

Rules

3 962×	`lower-*.f64`
3 962×	`lower-*.f32`
2 964×	`lower-/.f32`
2 964×	`lower-/.f64`
2 798×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	16816
1	150	16424
2	456	16356
3	1932	16356
4	5193	16356
5	7079	16356
0	8508	16068

Stop Event

1×	iter limit
1×	node limit

Counts

1 068 → 1 068

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

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

rewrite222.0ms (0.8%)

Memory

3.6MiB live, 470.6MiB allocated

Rules

7 358×	`lower-fma.f32`
7 356×	`lower-fma.f64`
4 338×	`lower-*.f32`
4 308×	`lower-*.f64`
3 412×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	53	367
0	95	308
1	336	286
2	2097	286
0	8293	286

Stop Event

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

Counts

26 → 2 124

Calls

Call 1

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

Outputs
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eval1.1s (4%)

Memory: -2.7MiB live, 1 441.5MiB allocated
Compiler: Compiled 178 873 to 9 362 computations (94.8% saved)

prune620.0ms (2.2%)

Memory

-1.0MiB live, 318.1MiB allocated

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	5 054	5	5 059
Fresh	0	0	0
Picked	4	1	5
Done	0	1	1
Total	5 058	7	5 065

Accuracy

100.0%

Counts

5 065 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.7%	(pow.f64 (pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
▶	99.2%	(pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))) #s(literal -1 binary64))
▶	98.1%	(pow.f64 #s(approx (* (pow (acos (* 1/18 (* x (/ (/ (sqrt t) z) y)))) -1) 3) (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (.f64 (.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) z)))) #s(literal -1 binary64))
▶	97.7%	(/.f64 (acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 3 binary64))
▶	96.8%	(.f64 (pow.f64 (pow.f64 (acos.f64 (.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 1/3 binary64))
✓	98.4%	(.f64 (acos.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 y z)))) #s(literal 1/3 binary64))
✓	97.2%	(.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64))

Compiler

Compiled 182 to 182 computations (0% saved)

simplify50.0ms (0.2%)

Memory

-9.8MiB live, 28.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))
cost-diff	0	(/.f64 #s(literal 3 binary64) (acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))))
cost-diff	0	(pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))) #s(literal -1/2 binary64))
cost-diff	13312	(pow.f64 (pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
cost-diff	0	(acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))
cost-diff	0	(.f64 (pow.f64 (pow.f64 (acos.f64 (.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 1/3 binary64))
cost-diff	5824	(pow.f64 (acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/2 binary64))
cost-diff	7104	(pow.f64 (pow.f64 (acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
cost-diff	0	(acos.f64 (/.f64 (.f64 (.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) z))
cost-diff	0	(/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (.f64 (.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) z)))
cost-diff	0	#s(approx (* (pow (acos (* 1/18 (* x (/ (/ (sqrt t) z) y)))) -1) 3) (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (.f64 (.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) z))))
cost-diff	0	(pow.f64 #s(approx (* (pow (acos (* 1/18 (* x (/ (/ (sqrt t) z) y)))) -1) 3) (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (.f64 (.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) z)))) #s(literal -1 binary64))
cost-diff	0	(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)
cost-diff	0	(.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
cost-diff	0	(acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))
cost-diff	384	(/.f64 (acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 3 binary64))
cost-diff	0	(.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
cost-diff	0	(acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))
cost-diff	0	(/.f64 #s(literal 3 binary64) (acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))))
cost-diff	6848	(pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))) #s(literal -1 binary64))

Rules

466×	`lower-*.f32`
456×	`lower-*.f64`
166×	`lower-/.f32`
154×	`associate-r`
154×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	42	445
0	63	438
1	93	426
2	168	426
3	279	426
4	450	426
5	543	426
6	589	426
7	608	426
8	610	426
9	610	426
0	610	426

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize277.0ms (1%)

Memory

30.5MiB live, 189.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.24609375	(.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
accuracy	0.98046875	(pow.f64 (pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
accuracy	2.507548060463349	(/.f64 (/.f64 (sqrt.f64 t) z) y)
accuracy	5.4143052371315274	(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)
accuracy	0.984375	(.f64 (pow.f64 (pow.f64 (acos.f64 (.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 1/3 binary64))
accuracy	0.98828125	(pow.f64 (pow.f64 (acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
accuracy	2.507548060463349	(/.f64 (/.f64 (sqrt.f64 t) z) y)
accuracy	5.4143052371315274	(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)
accuracy	0.25390625	(.f64 (.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64))
accuracy	1.0030070392063202	#s(approx (* (pow (acos (* 1/18 (* x (/ (/ (sqrt t) z) y)))) -1) 3) (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (.f64 (.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) z))))
accuracy	2.5540444981421078	(*.f64 (/.f64 (sqrt.f64 t) y) x)
accuracy	4.251452135743325	(/.f64 (.f64 (.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) z)
accuracy	0.24609375	(.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
accuracy	0.9765625	(/.f64 (acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 3 binary64))
accuracy	2.507548060463349	(/.f64 (/.f64 (sqrt.f64 t) z) y)
accuracy	5.4143052371315274	(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)
accuracy	0.24609375	(/.f64 (sqrt.f64 t) z)
accuracy	0.24609375	(.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
accuracy	2.507548060463349	(/.f64 (/.f64 (sqrt.f64 t) z) y)
accuracy	5.4143052371315274	(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)

Samples

248.0ms

256×

valid

Compiler

Compiled 419 to 40 computations (90.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 188.0ms

const: 101.0ms (53.8% of total)

ival-pow2: 40.0ms (21.3% of total)

ival-div: 12.0ms (6.4% of total)

ival-mult: 12.0ms (6.4% of total)

ival-pow: 12.0ms (6.4% of total)

ival-acos: 6.0ms (3.2% of total)

ival-sqrt: 4.0ms (2.1% of total)

exact: 1.0ms (0.5% of total)

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

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

series125.0ms (0.4%)

Memory

-24.0MiB live, 152.6MiB allocated

Counts

20 → 900

Calls

Call 1

Inputs
#s(alt (pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))) #s(literal -1 binary64)) (patch (pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 3 binary64) (acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))) (patch (/.f64 #s(literal 3 binary64) (acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))) #<representation binary64>) () ())
#s(alt (acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) (patch (acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)) (patch (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 3 binary64)) (patch (/.f64 (acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) (patch (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #<representation binary64>) () ())
#s(alt (pow.f64 #s(approx (* (pow (acos (* 1/18 (* x (/ (/ (sqrt t) z) y)))) -1) 3) (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (.f64 (.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) z)))) #s(literal -1 binary64)) (patch (pow.f64 #s(approx (* (pow (acos (* 1/18 (* x (/ (/ (sqrt t) z) y)))) -1) 3) (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (.f64 (.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) z)))) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (* (pow (acos (* 1/18 (* x (/ (/ (sqrt t) z) y)))) -1) 3) (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (.f64 (.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) z)))) (patch #s(approx (* (pow (acos (* 1/18 (* x (/ (/ (sqrt t) z) y)))) -1) 3) (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (.f64 (.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) z)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (.f64 (.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) z))) (patch (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (.f64 (.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) z))) #<representation binary64>) () ())
#s(alt (acos.f64 (/.f64 (.f64 (.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) z)) (patch (acos.f64 (/.f64 (.f64 (.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) z)) #<representation binary64>) () ())
#s(alt (pow.f64 (pow.f64 (acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/2 binary64)) (patch (pow.f64 (acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (pow.f64 (pow.f64 (acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (patch (.f64 (pow.f64 (pow.f64 (acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))) #s(literal -1/2 binary64)) (patch (pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))) #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (sqrt.f64 t) z) y) (patch (/.f64 (/.f64 (sqrt.f64 t) z) y) #<representation binary64>) () ())
#s(alt (/.f64 (sqrt.f64 t) z) (patch (/.f64 (sqrt.f64 t) z) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) z) (patch (/.f64 (.f64 (.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) z) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 (sqrt.f64 t) y) x) (patch (.f64 (/.f64 (sqrt.f64 t) y) x) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) (patch (.f64 (.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))) #s(literal -1 binary64)) (patch (pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))) #s(literal -1 binary64)) (patch (pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))) #s(literal -1 binary64)) (patch (pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))) #s(literal -1 binary64)) (patch (pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (/.f64 #s(literal 3 binary64) (acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))) (patch (/.f64 #s(literal 3 binary64) (acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (/.f64 #s(literal 3 binary64) (acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))) (patch (/.f64 #s(literal 3 binary64) (acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (/.f64 #s(literal 3 binary64) (acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))) (patch (/.f64 #s(literal 3 binary64) (acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (/.f64 #s(literal 3 binary64) (acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))) (patch (/.f64 #s(literal 3 binary64) (acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))) #<representation binary64>) () ())) ())
#s(alt (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (taylor 0 t) (#s(alt (acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) (patch (acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #<representation binary64>) () ())) ())
#s(alt (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (taylor 0 t) (#s(alt (acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) (patch (acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #<representation binary64>) () ())) ())
#s(alt (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (taylor 0 t) (#s(alt (acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) (patch (acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #<representation binary64>) () ())) ())
#s(alt (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (taylor 0 t) (#s(alt (acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) (patch (acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor 0 t) (#s(alt (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)) (patch (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor 0 t) (#s(alt (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)) (patch (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor 0 t) (#s(alt (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)) (patch (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* -1/18 (* (sqrt t) (/ x (* y z)))) (taylor -inf x) (#s(alt (/.f64 (.f64 (.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) z) (patch (/.f64 (.f64 (.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* -1/18 (* (sqrt t) (/ x (* y z)))) (taylor -inf x) (#s(alt (/.f64 (.f64 (.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) z) (patch (/.f64 (.f64 (.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* -1/18 (* (sqrt t) (/ x (* y z)))) (taylor -inf x) (#s(alt (/.f64 (.f64 (.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) z) (patch (/.f64 (.f64 (.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* -1/18 (* (sqrt t) (/ x (* y z)))) (taylor -inf x) (#s(alt (/.f64 (.f64 (.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) z) (patch (/.f64 (.f64 (.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* (sqrt t) (/ x y)) (taylor -inf x) (#s(alt (.f64 (/.f64 (sqrt.f64 t) y) x) (patch (.f64 (/.f64 (sqrt.f64 t) y) x) #<representation binary64>) () ())) ())
#s(alt (* (sqrt t) (/ x y)) (taylor -inf x) (#s(alt (.f64 (/.f64 (sqrt.f64 t) y) x) (patch (.f64 (/.f64 (sqrt.f64 t) y) x) #<representation binary64>) () ())) ())
#s(alt (* (sqrt t) (/ x y)) (taylor -inf x) (#s(alt (.f64 (/.f64 (sqrt.f64 t) y) x) (patch (.f64 (/.f64 (sqrt.f64 t) y) x) #<representation binary64>) () ())) ())
#s(alt (* (sqrt t) (/ x y)) (taylor -inf x) (#s(alt (.f64 (/.f64 (sqrt.f64 t) y) x) (patch (.f64 (/.f64 (sqrt.f64 t) y) x) #<representation binary64>) () ())) ())
#s(alt (* -1/18 (* (sqrt t) (/ x y))) (taylor -inf x) (#s(alt (.f64 (.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) (patch (.f64 (.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/18 (* (sqrt t) (/ x y))) (taylor -inf x) (#s(alt (.f64 (.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) (patch (.f64 (.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/18 (* (sqrt t) (/ x y))) (taylor -inf x) (#s(alt (.f64 (.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) (patch (.f64 (.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/18 (* (sqrt t) (/ x y))) (taylor -inf x) (#s(alt (.f64 (.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) (patch (.f64 (.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) #<representation binary64>) () ())) ())

Calls

12 calls:

Time	Variable		Point	Expression
36.0ms	z	@	-inf	((pow (/ 3 (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18))) -1) (/ 3 (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18))) (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (* (* (/ (/ (sqrt t) z) y) x) 1/18) (/ (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 3) (* (/ (/ (sqrt t) z) y) x) (pow (* (pow (acos (* 1/18 (* x (/ (/ (sqrt t) z) y)))) -1) 3) -1) (* (pow (acos (* 1/18 (* x (/ (/ (sqrt t) z) y)))) -1) 3) (/ 3 (acos (/ (* (* (/ (sqrt t) y) x) -1/18) z))) (acos (/ (* (* (/ (sqrt t) y) x) -1/18) z)) (pow (pow (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 1/2) 2) (pow (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 1/2) (* (pow (pow (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 1/2) 2) 1/3) (pow (pow (/ 3 (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18))) -1/2) 2) (pow (/ 3 (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18))) -1/2) (/ (/ (sqrt t) z) y) (/ (sqrt t) z) (/ (* (* (/ (sqrt t) y) x) -1/18) z) (* (/ (sqrt t) y) x) (* (* (/ (sqrt t) y) x) -1/18))
7.0ms	t	@	0	((pow (/ 3 (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18))) -1) (/ 3 (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18))) (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (* (* (/ (/ (sqrt t) z) y) x) 1/18) (/ (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 3) (* (/ (/ (sqrt t) z) y) x) (pow (* (pow (acos (* 1/18 (* x (/ (/ (sqrt t) z) y)))) -1) 3) -1) (* (pow (acos (* 1/18 (* x (/ (/ (sqrt t) z) y)))) -1) 3) (/ 3 (acos (/ (* (* (/ (sqrt t) y) x) -1/18) z))) (acos (/ (* (* (/ (sqrt t) y) x) -1/18) z)) (pow (pow (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 1/2) 2) (pow (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 1/2) (* (pow (pow (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 1/2) 2) 1/3) (pow (pow (/ 3 (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18))) -1/2) 2) (pow (/ 3 (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18))) -1/2) (/ (/ (sqrt t) z) y) (/ (sqrt t) z) (/ (* (* (/ (sqrt t) y) x) -1/18) z) (* (/ (sqrt t) y) x) (* (* (/ (sqrt t) y) x) -1/18))
6.0ms	x	@	-inf	((pow (/ 3 (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18))) -1) (/ 3 (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18))) (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (* (* (/ (/ (sqrt t) z) y) x) 1/18) (/ (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 3) (* (/ (/ (sqrt t) z) y) x) (pow (* (pow (acos (* 1/18 (* x (/ (/ (sqrt t) z) y)))) -1) 3) -1) (* (pow (acos (* 1/18 (* x (/ (/ (sqrt t) z) y)))) -1) 3) (/ 3 (acos (/ (* (* (/ (sqrt t) y) x) -1/18) z))) (acos (/ (* (* (/ (sqrt t) y) x) -1/18) z)) (pow (pow (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 1/2) 2) (pow (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 1/2) (* (pow (pow (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 1/2) 2) 1/3) (pow (pow (/ 3 (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18))) -1/2) 2) (pow (/ 3 (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18))) -1/2) (/ (/ (sqrt t) z) y) (/ (sqrt t) z) (/ (* (* (/ (sqrt t) y) x) -1/18) z) (* (/ (sqrt t) y) x) (* (* (/ (sqrt t) y) x) -1/18))
6.0ms	t	@	-inf	((pow (/ 3 (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18))) -1) (/ 3 (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18))) (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (* (* (/ (/ (sqrt t) z) y) x) 1/18) (/ (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 3) (* (/ (/ (sqrt t) z) y) x) (pow (* (pow (acos (* 1/18 (* x (/ (/ (sqrt t) z) y)))) -1) 3) -1) (* (pow (acos (* 1/18 (* x (/ (/ (sqrt t) z) y)))) -1) 3) (/ 3 (acos (/ (* (* (/ (sqrt t) y) x) -1/18) z))) (acos (/ (* (* (/ (sqrt t) y) x) -1/18) z)) (pow (pow (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 1/2) 2) (pow (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 1/2) (* (pow (pow (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 1/2) 2) 1/3) (pow (pow (/ 3 (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18))) -1/2) 2) (pow (/ 3 (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18))) -1/2) (/ (/ (sqrt t) z) y) (/ (sqrt t) z) (/ (* (* (/ (sqrt t) y) x) -1/18) z) (* (/ (sqrt t) y) x) (* (* (/ (sqrt t) y) x) -1/18))
5.0ms	t	@	inf	((pow (/ 3 (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18))) -1) (/ 3 (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18))) (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (* (* (/ (/ (sqrt t) z) y) x) 1/18) (/ (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 3) (* (/ (/ (sqrt t) z) y) x) (pow (* (pow (acos (* 1/18 (* x (/ (/ (sqrt t) z) y)))) -1) 3) -1) (* (pow (acos (* 1/18 (* x (/ (/ (sqrt t) z) y)))) -1) 3) (/ 3 (acos (/ (* (* (/ (sqrt t) y) x) -1/18) z))) (acos (/ (* (* (/ (sqrt t) y) x) -1/18) z)) (pow (pow (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 1/2) 2) (pow (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 1/2) (* (pow (pow (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 1/2) 2) 1/3) (pow (pow (/ 3 (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18))) -1/2) 2) (pow (/ 3 (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18))) -1/2) (/ (/ (sqrt t) z) y) (/ (sqrt t) z) (/ (* (* (/ (sqrt t) y) x) -1/18) z) (* (/ (sqrt t) y) x) (* (* (/ (sqrt t) y) x) -1/18))

simplify1.0s (3.6%)

Memory

6.4MiB live, 162.4MiB allocated

Algorithm

1×	egg-herbie

Rules

3 510×	`lower-*.f64`
3 510×	`lower-*.f32`
2 808×	`lower-fma.f64`
2 808×	`lower-fma.f32`
2 596×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	60	10292
1	128	10060
2	412	10032
3	1469	10032
4	3708	10032
5	5850	10032
6	7925	10032
0	8029	10032

Stop Event

1×	iter limit
1×	node limit

Counts

900 → 900

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

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

rewrite3.0s (10.4%)

Memory

-0.6MiB live, 313.3MiB allocated

Rules

3 972×	`lower-*.f32`
3 962×	`lower-*.f64`
2 096×	`lower-/.f32`
2 082×	`lower-/.f64`
1 738×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	265
0	63	246
1	184	246
2	750	246
3	5263	246
0	8178	246

Stop Event

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

Counts

20 → 1 414

Calls

Call 1

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

Outputs
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eval858.0ms (3%)

Memory: 34.0MiB live, 1 332.6MiB allocated
Compiler: Compiled 79 712 to 6 463 computations (91.9% saved)

prune818.0ms (2.9%)

Memory

-29.0MiB live, 744.7MiB allocated

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	4 061	4	4 065
Fresh	0	0	0
Picked	5	0	5
Done	0	2	2
Total	4 066	6	4 072

Accuracy

100.0%

Counts

4 072 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.1%	(pow.f64 (pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (.f64 (.f64 x (sqrt.f64 t)) #s(literal 1/18 binary64)) (*.f64 y z)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
	99.6%	(pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (.f64 (.f64 x (sqrt.f64 t)) #s(literal 1/18 binary64)) (*.f64 y z)))) #s(literal -1 binary64))
	98.1%	(/.f64 (acos.f64 (/.f64 (.f64 (.f64 x (sqrt.f64 t)) #s(literal 1/18 binary64)) (*.f64 y z))) #s(literal 3 binary64))
	96.8%	(.f64 (pow.f64 (sqrt.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y))))) #s(literal 2 binary64)) #s(literal 1/3 binary64))
✓	98.4%	(.f64 (acos.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 y z)))) #s(literal 1/3 binary64))
✓	97.2%	(.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64))

Compiler

Compiled 445 to 198 computations (55.5% saved)

regimes203.0ms (0.7%)

Memory

-7.9MiB live, 109.3MiB allocated

Counts

19 → 1

Calls

Call 1

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

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

Calls

13 calls:

52.0ms	(acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
50.0ms	(*.f64 y #s(literal 27 binary64))
48.0ms	x
6.0ms	(*.f64 z #s(literal 2 binary64))
5.0ms	(sqrt.f64 t)

Results

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

Compiler

Compiled 83 to 108 computations (-30.1% saved)

regimes74.0ms (0.3%)

Memory

21.0MiB live, 60.3MiB allocated

Accuracy

Total -1.4b remaining (-136.4%)

Threshold costs -1.4b (-136.4%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

13 calls:

42.0ms	(acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
3.0ms	z
3.0ms	(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))
3.0ms	(*.f64 z #s(literal 2 binary64))
3.0ms	(sqrt.f64 t)

Results

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

Compiler

Compiled 83 to 108 computations (-30.1% saved)

simplify24.0ms (0.1%)

Memory

1.0MiB live, 40.4MiB allocated

Algorithm

1×	egg-herbie

Rules

12×	`-commutative-binary64-.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	28
1	27	28

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

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

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

soundness626.0ms (2.2%)

Memory

-15.1MiB live, 378.9MiB allocated

Rules

7 358×	`lower-fma.f32`
7 356×	`lower-fma.f64`
5 832×	`lower-*.f32`
5 822×	`lower-*.f64`
4 544×	`lower-*.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	42	265
0	63	246
1	184	246
2	750	246
3	5263	246
0	8178	246
0	18	50
0	29	50
1	69	42
2	387	36
3	3742	36
0	8214	36
0	53	367
0	95	308
1	336	286
2	2097	286
0	8293	286
0	53	291
0	84	268
1	241	260
2	1470	252
0	8337	252

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

Compiler

Compiled 190 to 121 computations (36.3% saved)

preprocess47.0ms (0.2%)

Memory: 11.7MiB live, 86.9MiB allocated
Remove: (sort y z)
Compiler: Compiled 218 to 200 computations (8.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	42	445
0	63	438
1	93	426
2	168	426
3	279	426
4	450	426
5	543	426
6	589	426
7	608	426
8	610	426
9	610	426
0	610	426

Iter	Nodes	Cost
0	42	445
0	63	438
1	93	426
2	168	426
3	279	426
4	450	426
5	543	426
6	589	426
7	608	426
8	610	426
9	610	426
0	610	426

start0.0ms (0%)

analyze378.0ms (1.3%)

sample5.6s (19.4%)

explain313.0ms (1.1%)

preprocess126.0ms (0.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify103.0ms (0.4%)

localize43.0ms (0.2%)

series440.0ms (1.5%)

simplify138.0ms (0.5%)

rewrite207.0ms (0.7%)

eval7.5s (26.2%)

prune70.0ms (0.2%)

simplify245.0ms (0.9%)

localize166.0ms (0.6%)

series133.0ms (0.5%)

simplify149.0ms (0.5%)

rewrite206.0ms (0.7%)

eval1.0s (3.7%)

prune581.0ms (2%)

simplify1.5s (5.1%)

localize283.0ms (1%)

series153.0ms (0.5%)

simplify219.0ms (0.8%)

rewrite222.0ms (0.8%)

eval1.1s (4%)

prune620.0ms (2.2%)

simplify50.0ms (0.2%)

localize277.0ms (1%)

series125.0ms (0.4%)

simplify1.0s (3.6%)

rewrite3.0s (10.4%)

eval858.0ms (3%)

prune818.0ms (2.9%)

regimes203.0ms (0.7%)

regimes74.0ms (0.3%)

simplify24.0ms (0.1%)

soundness626.0ms (2.2%)

preprocess47.0ms (0.2%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	42	445
0	63	438
1	93	426
2	168	426
3	279	426
4	450	426
5	543	426
6	589	426
7	608	426
8	610	426
9	610	426
0	610	426