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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze374.0ms (1.2%)

Memory

-8.2MiB live, 550.0MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 21 to 20 computations (4.8% saved)

sample6.3s (20.1%)

Memory

107.5MiB live, 6 124.5MiB allocated

Samples

2.6s	15 573×	0	invalid
1.6s	8 256×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 3.3s

ival-mult: 1.5s (46% of total)

ival-div: 1.2s (37.1% of total)

ival-acos: 244.0ms (7.5% of total)

ival-sqrt: 235.0ms (7.2% of total)

exact: 45.0ms (1.4% of total)

ival-true: 20.0ms (0.6% of total)

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

Bogosity

explain246.0ms (0.8%)

Memory

11.0MiB live, 343.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
20	-	3	(-6.416720799738164e-237 -3.838068143849989e+80 -1.1277807397582901e-212 4.186424936011083e-65)	`(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))`
14	-	3	(4.545381954190527e+167 -3.1656288355932115e+223 -2.7070820214125382e+261 4.422073399006722e+188)	`(.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t))`
2	-	0	-	`(/.f64 x (*.f64 y #s(literal 27 binary64)))`
0	-	0	-	`t`
0	-	0	-	`#s(literal 3 binary64)`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))`
0	-	0	-	`(*.f64 y #s(literal 27 binary64))`
0	-	0	-	`y`
0	-	0	-	`#s(literal 27 binary64)`
0	-	0	-	`z`
0	-	0	-	`(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))`
0	-	0	-	`(acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`(*.f64 z #s(literal 2 binary64))`
0	-	0	-	`(sqrt.f64 t)`
0	-	0	-	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))`	u/n	15	0
↳	`(/.f64 x (*.f64 y #s(literal 27 binary64)))`	underflow	49
↳	`(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))`	underflow	49
`*.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**	11	0
`/.f64`	`(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))`	o/n	2	0
↳	`(*.f64 y #s(literal 27 binary64))`	overflow	2
↳	`(/.f64 x (*.f64 y #s(literal 27 binary64)))`	overflow	2
↳	`(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))`	overflow	2
`/.f64`	`(/.f64 x (*.f64 y #s(literal 27 binary64)))`	n/o	2	0
↳	`(*.f64 y #s(literal 27 binary64))`	overflow	2

Confusion

	Predicted +	Predicted -
+	3	0
-	27	226

Precision

0.1

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	3	0	0
-	27	0	226

Precision?

0.1

Recall?

1.0

Freqs

test

number	freq
0	226
1	30

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

63.0ms

512×

valid

Compiler

Compiled 203 to 58 computations (71.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-div: 15.0ms (37.8% of total)

ival-mult: 14.0ms (35.2% of total)

ival-acos: 5.0ms (12.6% of total)

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

ival-true: 1.0ms (2.5% of total)

exact: 1.0ms (2.5% of total)

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

preprocess167.0ms (0.5%)

Memory

-2.5MiB live, 115.0MiB 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: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 0 to 4 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.5%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))

Status

Accuracy

Program

▶

97.5%

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

Compiler

Compiled 19 to 18 computations (5.3% saved)

simplify65.0ms (0.2%)

Memory

9.1MiB live, 45.8MiB 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

localize53.0ms (0.2%)

Memory

-27.0MiB live, 95.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.43735446632814	(/.f64 x (*.f64 y #s(literal 27 binary64)))
accuracy	0.98828125	(.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	2.7250789210818915	(.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	4.404923341793375	(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))

Samples

31.0ms

256×

valid

Compiler

Compiled 92 to 20 computations (78.3% saved)

Precisions

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

ival-mult: 7.0ms (40.9% of total)

ival-div: 5.0ms (29.2% of total)

ival-sqrt: 2.0ms (11.7% of total)

ival-acos: 2.0ms (11.7% of total)

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

exact: 0.0ms (0% of total)

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

series38.0ms (0.1%)

Memory

15.0MiB live, 89.4MiB allocated

Counts

6 → 180

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

Calls

12 calls:

Time	Variable		Point	Expression
7.0ms	x	@	-inf	((/ 1 3) (/ (* 3 (/ x (* y 27))) (* z 2)) (* 3 (/ x (* y 27))) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (/ x (* y 27)))
6.0ms	y	@	0	((/ 1 3) (/ (* 3 (/ x (* y 27))) (* z 2)) (* 3 (/ x (* y 27))) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (/ x (* y 27)))
3.0ms	x	@	inf	((/ 1 3) (/ (* 3 (/ x (* y 27))) (* z 2)) (* 3 (/ x (* y 27))) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (/ x (* y 27)))
3.0ms	t	@	-inf	((/ 1 3) (/ (* 3 (/ x (* y 27))) (* z 2)) (* 3 (/ x (* y 27))) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (/ x (* y 27)))
2.0ms	x	@	0	((/ 1 3) (/ (* 3 (/ x (* y 27))) (* z 2)) (* 3 (/ x (* y 27))) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (/ x (* y 27)))

simplify115.0ms (0.4%)

Memory

4.8MiB live, 86.1MiB allocated

Algorithm

1×	egg-herbie

Rules

4 158×	`lower-*.f64`
4 158×	`lower-*.f32`
3 468×	`lower-/.f32`
3 468×	`lower-/.f64`
1 200×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	31	1616
1	66	1604
2	197	1596
3	736	1596
4	2588	1596
5	4467	1596
6	6235	1596
0	8096	1596

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

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))))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 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))))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 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))))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 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))))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 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))))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 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))))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))

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))))))
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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))
(* 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))))
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(* 1/27 (/ x y))
(*.f64 #s(literal 1/27 binary64) (/.f64 x y))
(* 1/27 (/ x y))
(*.f64 #s(literal 1/27 binary64) (/.f64 x y))
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(*.f64 #s(literal 1/27 binary64) (/.f64 x y))
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(* 1/18 (/ x (* y z)))
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(.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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(* 1/9 (/ x y))
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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))
(* 1/3 (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))
(* 1/27 (/ x y))
(*.f64 #s(literal 1/27 binary64) (/.f64 x y))
(* 1/27 (/ x y))
(*.f64 #s(literal 1/27 binary64) (/.f64 x y))
(* 1/27 (/ x y))
(*.f64 #s(literal 1/27 binary64) (/.f64 x y))
(* 1/27 (/ x y))
(*.f64 #s(literal 1/27 binary64) (/.f64 x y))
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(.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))
(*.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))
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(*.f64 #s(literal 1/27 binary64) (/.f64 x y))
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(*.f64 #s(literal 1/27 binary64) (/.f64 x y))
(* 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))
(* 1/18 (/ 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))))))
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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))))))
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(* 1/27 (/ x y))
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(*.f64 #s(literal 1/27 binary64) (/.f64 x y))
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(*.f64 #s(literal 1/27 binary64) (/.f64 x y))
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(.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))
(* 1/18 (/ 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))
(* 1/27 (/ x y))
(*.f64 #s(literal 1/27 binary64) (/.f64 x y))
(* 1/27 (/ x y))
(*.f64 #s(literal 1/27 binary64) (/.f64 x y))
(* 1/27 (/ x y))
(*.f64 #s(literal 1/27 binary64) (/.f64 x y))
(* 1/27 (/ x y))
(*.f64 #s(literal 1/27 binary64) (/.f64 x y))

rewrite179.0ms (0.6%)

Memory

-17.5MiB live, 210.8MiB 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	55
0	29	55
1	69	47
2	387	41
3	3742	41
0	8214	41

Stop Event

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

Counts

6 → 588

Calls

Call 1

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

Outputs
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eval183.0ms (0.6%)

Memory: 25.8MiB live, 178.5MiB allocated
Compiler: Compiled 14 506 to 3 083 computations (78.7% saved)

prune52.0ms (0.2%)

Memory

6.3MiB live, 130.2MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	763	5	768
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	764	5	769

Accuracy

98.5%

Counts

769 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.5%	(/.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))))))
▶	98.5%	(.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))))
▶	96.9%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 x (*.f64 (/.f64 #s(literal 1/9 binary64) y) (/.f64 (/.f64 (sqrt.f64 t) z) #s(literal 2 binary64))))))
▶	97.5%	(.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64))
▶	96.9%	#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 192 to 166 computations (13.5% saved)

simplify252.0ms (0.8%)

Memory

-26.5MiB live, 92.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 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	(acos.f64 (.f64 x (.f64 (/.f64 #s(literal 1/9 binary64) y) (/.f64 (/.f64 (sqrt.f64 t) z) #s(literal 2 binary64)))))
cost-diff	0	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 x (*.f64 (/.f64 #s(literal 1/9 binary64) y) (/.f64 (/.f64 (sqrt.f64 t) z) #s(literal 2 binary64))))))
cost-diff	704	(*.f64 (/.f64 #s(literal 1/9 binary64) y) (/.f64 (/.f64 (sqrt.f64 t) z) #s(literal 2 binary64)))
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)))
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))

Rules

3 832×	`lower-*.f32`
3 802×	`lower-*.f64`
2 440×	`lower-fma.f32`
2 438×	`lower-fma.f64`
1 728×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	495
0	99	489
1	164	479
2	359	467
3	882	467
4	2150	467
5	3309	467
6	3589	467
7	3981	467
8	4705	467
9	5390	467
10	6081	467
11	6902	467
12	7000	467
13	7191	467
14	7283	467
15	7323	467
16	7333	467
17	7333	467
0	8347	465

Stop Event

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

Calls

Call 1

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

localize8.1s (26%)

Memory

-122.4MiB live, 339.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.26400375976844204	(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
accuracy	0.99609375	(.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	2.7250789210818915	(.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
accuracy	4.384373738668431	(/.f64 (/.f64 x y) z)
accuracy	0.35546875	(/.f64 #s(literal 1/9 binary64) y)
accuracy	0.98828125	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 x (*.f64 (/.f64 #s(literal 1/9 binary64) y) (/.f64 (/.f64 (sqrt.f64 t) z) #s(literal 2 binary64))))))
accuracy	3.9959917974794505	(*.f64 (/.f64 #s(literal 1/9 binary64) y) (/.f64 (/.f64 (sqrt.f64 t) z) #s(literal 2 binary64)))
accuracy	5.479132235665966	(.f64 x (.f64 (/.f64 #s(literal 1/9 binary64) y) (/.f64 (/.f64 (sqrt.f64 t) z) #s(literal 2 binary64))))
accuracy	0.26400375976844204	(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
accuracy	0.98828125	(.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64))
accuracy	2.7250789210818915	(.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
accuracy	4.384373738668431	(/.f64 (/.f64 x y) z)
accuracy	0.28744125976844204	(.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
accuracy	0.98828125	(.f64 (acos.f64 (.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
accuracy	4.0137033441366174	(/.f64 (/.f64 (sqrt.f64 t) z) y)
accuracy	5.436684482560108	(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)
accuracy	0.26400375976844204	(.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))
accuracy	0.98828125	(.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	2.7250789210818915	(.f64 #s(approx (/ ( 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))
accuracy	4.321223144949522	(/.f64 x (*.f64 z y))

Samples

8.0s

256×

valid

Compiler

Compiled 463 to 56 computations (87.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 76.0ms

ival-mult: 28.0ms (36.7% of total)

ival-div: 20.0ms (26.2% of total)

const: 10.0ms (13.1% of total)

ival-acos: 8.0ms (10.5% of total)

ival-pow2: 3.0ms (3.9% of total)

ival-asin: 2.0ms (2.6% of total)

ival-sqrt: 2.0ms (2.6% of total)

ival-pi: 1.0ms (1.3% of total)

ival-add: 1.0ms (1.3% of total)

ival-sub: 1.0ms (1.3% of total)

exact: 1.0ms (1.3% of total)

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

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

series112.0ms (0.4%)

Memory

11.1MiB live, 273.8MiB allocated

Counts

27 → 1 056

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 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 #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 (/.f64 #s(literal 1/9 binary64) y) (/.f64 (/.f64 (sqrt.f64 t) z) #s(literal 2 binary64))) (patch (.f64 (/.f64 #s(literal 1/9 binary64) y) (/.f64 (/.f64 (sqrt.f64 t) z) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 x (.f64 (/.f64 #s(literal 1/9 binary64) y) (/.f64 (/.f64 (sqrt.f64 t) z) #s(literal 2 binary64)))))) (patch (.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 x (.f64 (/.f64 #s(literal 1/9 binary64) y) (/.f64 (/.f64 (sqrt.f64 t) z) #s(literal 2 binary64)))))) #<representation binary64>) () ())
#s(alt (acos.f64 (.f64 x (.f64 (/.f64 #s(literal 1/9 binary64) y) (/.f64 (/.f64 (sqrt.f64 t) z) #s(literal 2 binary64))))) (patch (acos.f64 (.f64 x (.f64 (/.f64 #s(literal 1/9 binary64) y) (/.f64 (/.f64 (sqrt.f64 t) z) #s(literal 2 binary64))))) #<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 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>) () ())
#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 (/.f64 #s(literal 1/9 binary64) y) (/.f64 (/.f64 (sqrt.f64 t) z) #s(literal 2 binary64)))) (patch (.f64 x (.f64 (/.f64 #s(literal 1/9 binary64) y) (/.f64 (/.f64 (sqrt.f64 t) z) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/9 binary64) y) (patch (/.f64 #s(literal 1/9 binary64) y) #<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 #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 (* 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 (* (sqrt t) (/ x (* y z)))) (taylor -inf x) (#s(alt (.f64 x (.f64 (/.f64 #s(literal 1/9 binary64) y) (/.f64 (/.f64 (sqrt.f64 t) z) #s(literal 2 binary64)))) (patch (.f64 x (.f64 (/.f64 #s(literal 1/9 binary64) y) (/.f64 (/.f64 (sqrt.f64 t) z) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor -inf x) (#s(alt (.f64 x (.f64 (/.f64 #s(literal 1/9 binary64) y) (/.f64 (/.f64 (sqrt.f64 t) z) #s(literal 2 binary64)))) (patch (.f64 x (.f64 (/.f64 #s(literal 1/9 binary64) y) (/.f64 (/.f64 (sqrt.f64 t) z) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor -inf x) (#s(alt (.f64 x (.f64 (/.f64 #s(literal 1/9 binary64) y) (/.f64 (/.f64 (sqrt.f64 t) z) #s(literal 2 binary64)))) (patch (.f64 x (.f64 (/.f64 #s(literal 1/9 binary64) y) (/.f64 (/.f64 (sqrt.f64 t) z) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor -inf x) (#s(alt (.f64 x (.f64 (/.f64 #s(literal 1/9 binary64) y) (/.f64 (/.f64 (sqrt.f64 t) z) #s(literal 2 binary64)))) (patch (.f64 x (.f64 (/.f64 #s(literal 1/9 binary64) y) (/.f64 (/.f64 (sqrt.f64 t) z) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())

Calls

12 calls:

Time	Variable		Point	Expression
16.0ms	y	@	-inf	((/ 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 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) (* (/ 1/9 y) (/ (/ (sqrt t) z) 2)) (* (/ 1 3) (acos (* x (* (/ 1/9 y) (/ (/ (sqrt t) z) 2))))) (acos (* x (* (/ 1/9 y) (/ (/ (sqrt t) z) 2)))) (* (- (* 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))) (/ x (* z y)) (* (/ x (* z y)) 1/18) (* (/ (/ (sqrt t) z) y) x) (/ (/ (sqrt t) z) y) (/ (/ x y) z) (* 1/18 (/ (/ x y) z)) (* x (* (/ 1/9 y) (/ (/ (sqrt t) z) 2))) (/ 1/9 y))
6.0ms	t	@	inf	((/ 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 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) (* (/ 1/9 y) (/ (/ (sqrt t) z) 2)) (* (/ 1 3) (acos (* x (* (/ 1/9 y) (/ (/ (sqrt t) z) 2))))) (acos (* x (* (/ 1/9 y) (/ (/ (sqrt t) z) 2)))) (* (- (* 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))) (/ x (* z y)) (* (/ x (* z y)) 1/18) (* (/ (/ (sqrt t) z) y) x) (/ (/ (sqrt t) z) y) (/ (/ x y) z) (* 1/18 (/ (/ x y) z)) (* x (* (/ 1/9 y) (/ (/ (sqrt t) z) 2))) (/ 1/9 y))
5.0ms	t	@	-inf	((/ 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 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) (* (/ 1/9 y) (/ (/ (sqrt t) z) 2)) (* (/ 1 3) (acos (* x (* (/ 1/9 y) (/ (/ (sqrt t) z) 2))))) (acos (* x (* (/ 1/9 y) (/ (/ (sqrt t) z) 2)))) (* (- (* 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))) (/ x (* z y)) (* (/ x (* z y)) 1/18) (* (/ (/ (sqrt t) z) y) x) (/ (/ (sqrt t) z) y) (/ (/ x y) z) (* 1/18 (/ (/ x y) z)) (* x (* (/ 1/9 y) (/ (/ (sqrt t) z) 2))) (/ 1/9 y))
5.0ms	y	@	0	((/ 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 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) (* (/ 1/9 y) (/ (/ (sqrt t) z) 2)) (* (/ 1 3) (acos (* x (* (/ 1/9 y) (/ (/ (sqrt t) z) 2))))) (acos (* x (* (/ 1/9 y) (/ (/ (sqrt t) z) 2)))) (* (- (* 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))) (/ x (* z y)) (* (/ x (* z y)) 1/18) (* (/ (/ (sqrt t) z) y) x) (/ (/ (sqrt t) z) y) (/ (/ x y) z) (* 1/18 (/ (/ x y) z)) (* x (* (/ 1/9 y) (/ (/ (sqrt t) z) 2))) (/ 1/9 y))
4.0ms	z	@	-inf	((/ 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 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) (* (/ 1/9 y) (/ (/ (sqrt t) z) 2)) (* (/ 1 3) (acos (* x (* (/ 1/9 y) (/ (/ (sqrt t) z) 2))))) (acos (* x (* (/ 1/9 y) (/ (/ (sqrt t) z) 2)))) (* (- (* 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))) (/ x (* z y)) (* (/ x (* z y)) 1/18) (* (/ (/ (sqrt t) z) y) x) (/ (/ (sqrt t) z) y) (/ (/ x y) z) (* 1/18 (/ (/ x y) z)) (* x (* (/ 1/9 y) (/ (/ (sqrt t) z) 2))) (/ 1/9 y))

simplify207.0ms (0.7%)

Memory

32.4MiB live, 340.4MiB allocated

Algorithm

1×	egg-herbie

Rules

4 544×	`lower-fma.f64`
4 544×	`lower-fma.f32`
4 172×	`lower-*.f64`
4 172×	`lower-*.f32`
1 920×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	13064
1	137	12712
2	427	12660
3	1971	12660
4	4976	12660
5	7455	12660
0	8115	12516

Stop Event

1×	iter limit
1×	node limit

Counts

1 056 → 1 056

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

rewrite681.0ms (2.2%)

Memory

-21.6MiB live, 333.8MiB allocated

Rules

5 262×	`lower-fma.f32`
5 260×	`lower-fma.f64`
4 644×	`lower-*.f32`
4 614×	`lower-*.f64`
4 104×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	60	344
0	99	315
1	285	307
2	1764	297
0	8441	297

Stop Event

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

Counts

27 → 1 725

Calls

Call 1

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

Outputs
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eval793.0ms (2.6%)

Memory: 47.7MiB live, 1 055.7MiB allocated
Compiler: Compiled 106 327 to 8 298 computations (92.2% saved)

prune271.0ms (0.9%)

Memory

-29.4MiB live, 481.5MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	3 929	5	3 934
Fresh	0	0	0
Picked	5	0	5
Done	0	0	0
Total	3 934	5	3 939

Accuracy

100.0%

Counts

3 939 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.6%	(pow.f64 (.f64 (pow.f64 (acos.f64 (.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) z) (/.f64 x y))) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64))
▶	96.2%	(/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (acos.f64 (.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) z) (/.f64 x y))) #s(literal -1 binary64)) #s(literal 3 binary64)))
▶	97.9%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (-.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3 binary64)) (fma.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (PI.f64) (+.f64 (pow.f64 (asin.f64 (.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 x z))))) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 x z))))))))) (/.f64 (pow.f64 (asin.f64 (.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 x z))))) #s(literal 3 binary64)) (fma.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (PI.f64) (+.f64 (pow.f64 (asin.f64 (.f64 (sqrt.f64 t) #s(approx (/ ( 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 x z))))) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 x z)))))))))))
▶	96.9%	(.f64 (acos.f64 (.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 1/3 binary64))
▶	98.5%	(.f64 (acos.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 z y)))) #s(literal 1/3 binary64))

Compiler

Compiled 316 to 180 computations (43% saved)

simplify329.0ms (1.1%)

Memory

14.2MiB live, 172.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3 binary64)) (fma.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (PI.f64) (+.f64 (pow.f64 (asin.f64 (.f64 (sqrt.f64 t) #s(approx (/ ( 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 x z))))) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 x z))))))))) (/.f64 (pow.f64 (asin.f64 (.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 x z))))) #s(literal 3 binary64)) (fma.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (PI.f64) (+.f64 (pow.f64 (asin.f64 (.f64 (sqrt.f64 t) #s(approx (/ ( 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 x z))))) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 x z))))))))))
cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
cost-diff	6592	(+.f64 (pow.f64 (asin.f64 (.f64 (sqrt.f64 t) #s(approx (/ ( 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 x z))))) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 x z)))))))
cost-diff	26432	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (-.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3 binary64)) (fma.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (PI.f64) (+.f64 (pow.f64 (asin.f64 (.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 x z))))) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 x z))))))))) (/.f64 (pow.f64 (asin.f64 (.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 x z))))) #s(literal 3 binary64)) (fma.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (PI.f64) (+.f64 (pow.f64 (asin.f64 (.f64 (sqrt.f64 t) #s(approx (/ ( 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 x z))))) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 x z)))))))))))
cost-diff	0	(acos.f64 (.f64 (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) z) (/.f64 x y)))
cost-diff	0	(pow.f64 (acos.f64 (.f64 (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) z) (/.f64 x y))) #s(literal -1 binary64))
cost-diff	6080	(.f64 (pow.f64 (acos.f64 (.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) z) (/.f64 x y))) #s(literal -1 binary64)) #s(literal 3 binary64))
cost-diff	6848	(pow.f64 (.f64 (pow.f64 (acos.f64 (.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) z) (/.f64 x y))) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64))
cost-diff	0	(acos.f64 (.f64 (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) z) (/.f64 x y)))
cost-diff	0	(pow.f64 (acos.f64 (.f64 (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) z) (/.f64 x y))) #s(literal -1 binary64))
cost-diff	1088	(/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (acos.f64 (.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) z) (/.f64 x y))) #s(literal -1 binary64)) #s(literal 3 binary64)))
cost-diff	6080	(.f64 (pow.f64 (acos.f64 (.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) z) (/.f64 x y))) #s(literal -1 binary64)) #s(literal 3 binary64))
cost-diff	0	(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64))
cost-diff	0	(.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)
cost-diff	0	(acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))
cost-diff	0	(.f64 (acos.f64 (.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 1/3 binary64))
cost-diff	0	(sqrt.f64 t)
cost-diff	0	(.f64 (sqrt.f64 t) (/.f64 (.f64 #s(literal 1/18 binary64) x) (*.f64 z y)))
cost-diff	0	(acos.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 #s(literal 1/18 binary64) x) (*.f64 z y))))
cost-diff	0	(.f64 (acos.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 z y)))) #s(literal 1/3 binary64))

Rules

5 796×	`lower-fma.f32`
5 794×	`lower-fma.f64`
5 014×	`lower-*.f32`
4 984×	`lower-*.f64`
2 784×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	1030
0	104	1022
1	180	952
2	372	902
3	807	902
4	1819	854
5	3557	853
6	5358	853
7	6409	853
0	8069	846

Stop Event

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

Calls

Call 1

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

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

localize498.0ms (1.6%)

Memory

8.2MiB live, 404.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.9921875	(/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3 binary64)) (fma.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (PI.f64) (+.f64 (pow.f64 (asin.f64 (.f64 (sqrt.f64 t) #s(approx (/ ( 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 x z))))) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 x z)))))))))
accuracy	1.0	(pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3 binary64))
accuracy	2.7250789210818915	(.f64 (sqrt.f64 t) #s(approx (/ ( 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 x z))))
accuracy	4.039254785634939	(*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 x z))
accuracy	0.0078125	(.f64 (pow.f64 (acos.f64 (.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) z) (/.f64 x y))) #s(literal -1 binary64)) #s(literal 3 binary64))
accuracy	0.2265625	(/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) z)
accuracy	0.35289003907376804	(*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))
accuracy	7.4453967748003524	(.f64 (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) z) (/.f64 x y))
accuracy	0.2265625	(/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) z)
accuracy	0.35289003907376804	(*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))
accuracy	0.98046875	(/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (acos.f64 (.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) z) (/.f64 x y))) #s(literal -1 binary64)) #s(literal 3 binary64)))
accuracy	7.4453967748003524	(.f64 (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) z) (/.f64 x y))
accuracy	0.244472509768442	(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64))
accuracy	0.98828125	(.f64 (acos.f64 (.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 1/3 binary64))
accuracy	4.0137033441366174	(/.f64 (/.f64 (sqrt.f64 t) z) y)
accuracy	5.479132235665966	(.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)
accuracy	0.3671875	(*.f64 #s(literal 1/18 binary64) x)
accuracy	0.98828125	(.f64 (acos.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 z y)))) #s(literal 1/3 binary64))
accuracy	2.7250789210818915	(.f64 (sqrt.f64 t) (/.f64 (.f64 #s(literal 1/18 binary64) x) (*.f64 z y)))
accuracy	4.343604370072212	(/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 z y))

Samples

155.0ms

256×

valid

Compiler

Compiled 843 to 62 computations (92.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 120.0ms

ival-div: 50.0ms (41.6% of total)

ival-mult: 30.0ms (24.9% of total)

ival-acos: 11.0ms (9.1% of total)

ival-pow: 11.0ms (9.1% of total)

const: 7.0ms (5.8% of total)

ival-pow2: 3.0ms (2.5% of total)

ival-add: 2.0ms (1.7% of total)

ival-asin: 2.0ms (1.7% of total)

ival-sqrt: 2.0ms (1.7% of total)

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

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

exact: 1.0ms (0.8% of total)

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

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

series1.8s (5.8%)

Memory

-1.0MiB live, 507.6MiB allocated

Counts

27 → 1 020

Calls

Call 1

Inputs
#s(alt (.f64 (acos.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 z y)))) #s(literal 1/3 binary64)) (patch (.f64 (acos.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 z y)))) #s(literal 1/3 binary64)) #<representation binary64>) () ())
#s(alt (acos.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 z y)))) (patch (acos.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 z y)))) #<representation binary64>) () ())
#s(alt (.f64 (sqrt.f64 t) (/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 z y))) (patch (.f64 (sqrt.f64 t) (/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 z y))) #<representation binary64>) () ())
#s(alt (sqrt.f64 t) (patch (sqrt.f64 t) #<representation binary64>) () ())
#s(alt (.f64 (acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 1/3 binary64)) (patch (.f64 (acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 1/3 binary64)) #<representation binary64>) () ())
#s(alt (acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) (patch (acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #<representation binary64>) () ())
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Outputs
#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 z y)))) #s(literal 1/3 binary64)) (patch (.f64 (acos.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 z y)))) #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 z y)))) #s(literal 1/3 binary64)) (patch (.f64 (acos.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 z y)))) #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 z y)))) #s(literal 1/3 binary64)) (patch (.f64 (acos.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 z y)))) #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 z y)))) #s(literal 1/3 binary64)) (patch (.f64 (acos.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 z y)))) #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 z y)))) (patch (acos.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 z y)))) #<representation binary64>) () ())) ())
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#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 z y)))) (patch (acos.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 z y)))) #<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 z y)))) (patch (acos.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 z y)))) #<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 z y))) (patch (.f64 (sqrt.f64 t) (/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 z y))) #<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 z y))) (patch (.f64 (sqrt.f64 t) (/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 z y))) #<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 z y))) (patch (.f64 (sqrt.f64 t) (/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 z y))) #<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 z y))) (patch (.f64 (sqrt.f64 t) (/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (sqrt t) (taylor 0 t) (#s(alt (sqrt.f64 t) (patch (sqrt.f64 t) #<representation binary64>) () ())) ())
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#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>) () ())) ())
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#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) #s(literal 1/18 binary64)) x)) #s(literal 1/3 binary64)) (patch (.f64 (acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #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) #s(literal 1/18 binary64)) x)) #s(literal 1/3 binary64)) (patch (.f64 (acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #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) #s(literal 1/18 binary64)) x)) #s(literal 1/3 binary64)) (patch (.f64 (acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #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) #s(literal 1/18 binary64)) x)) (patch (acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #<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) #s(literal 1/18 binary64)) x)) (patch (acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #<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) #s(literal 1/18 binary64)) x)) (patch (acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #<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) #s(literal 1/18 binary64)) x)) (patch (acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #<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) #s(literal 1/18 binary64)) x) (patch (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x) #<representation binary64>) () ())) ())
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#s(alt (* 1/8 (/ (pow (PI) 3) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) (taylor -inf x) (#s(alt (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3 binary64)) (fma.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (PI.f64) (+.f64 (pow.f64 (asin.f64 (.f64 (sqrt.f64 t) #s(approx (/ ( 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 x z))))) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 x z))))))))) (patch (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3 binary64)) (fma.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (PI.f64) (+.f64 (pow.f64 (asin.f64 (.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 x z))))) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 x z))))))))) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (/ (pow (PI) 3) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) (taylor -inf x) (#s(alt (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3 binary64)) (fma.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (PI.f64) (+.f64 (pow.f64 (asin.f64 (.f64 (sqrt.f64 t) #s(approx (/ ( 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 x z))))) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 x z))))))))) (patch (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3 binary64)) (fma.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (PI.f64) (+.f64 (pow.f64 (asin.f64 (.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 x z))))) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 x z))))))))) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (/ (pow (PI) 3) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) (taylor -inf x) (#s(alt (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3 binary64)) (fma.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (PI.f64) (+.f64 (pow.f64 (asin.f64 (.f64 (sqrt.f64 t) #s(approx (/ ( 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 x z))))) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 x z))))))))) (patch (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3 binary64)) (fma.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (PI.f64) (+.f64 (pow.f64 (asin.f64 (.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 x z))))) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 x z))))))))) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (/ (pow (PI) 3) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) (taylor -inf x) (#s(alt (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3 binary64)) (fma.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (PI.f64) (+.f64 (pow.f64 (asin.f64 (.f64 (sqrt.f64 t) #s(approx (/ ( 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 x z))))) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 x z))))))))) (patch (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3 binary64)) (fma.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (PI.f64) (+.f64 (pow.f64 (asin.f64 (.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 x z))))) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 x z))))))))) #<representation binary64>) () ())) ())

Calls

12 calls:

Time	Variable		Point	Expression
1.5s	t	@	inf	((* (acos (* (sqrt t) (/ (* 1/18 x) (* z y)))) 1/3) (acos (* (sqrt t) (/ (* 1/18 x) (* z y)))) (* (sqrt t) (/ (* 1/18 x) (* z y))) (sqrt t) (* (acos (* (* (/ (/ (sqrt t) z) y) 1/18) x)) 1/3) (acos (* (* (/ (/ (sqrt t) z) y) 1/18) x)) (* (* (/ (/ (sqrt t) z) y) 1/18) x) (* (/ (/ (sqrt t) z) y) 1/18) (* (pow (acos (* (/ (* (sqrt t) 1/18) z) (/ x y))) -1) 3) (/ 1 (* (pow (acos (* (/ (* (sqrt t) 1/18) z) (/ x y))) -1) 3)) (pow (acos (* (/ (* (sqrt t) 1/18) z) (/ x y))) -1) (acos (* (/ (* (sqrt t) 1/18) z) (/ x y))) (pow (* (pow (acos (* (/ (* (sqrt t) 1/18) z) (/ x y))) -1) 3) -1) (* (/ 1 3) (- (/ (pow (* 1/2 (PI)) 3) (+ (* (* (PI) 1/4) (PI)) (+ (pow (asin (* (sqrt t) (/ (* 3 (/ x (* y 27))) (* z 2)))) 2) (* (* 1/2 (PI)) (asin (* (sqrt t) (/ (* 3 (/ x (* y 27))) (* z 2)))))))) (/ (pow (asin (* (sqrt t) (/ (* 3 (/ x (* y 27))) (* z 2)))) 3) (+ (* (* (PI) 1/4) (PI)) (+ (pow (asin (* (sqrt t) (/ (* 3 (/ x (* y 27))) (* z 2)))) 2) (* (* 1/2 (PI)) (asin (* (sqrt t) (/ (* 3 (/ x (* y 27))) (* z 2)))))))))) (+ (pow (asin (* (sqrt t) (/ (* 3 (/ x (* y 27))) (* z 2)))) 2) (* (* 1/2 (PI)) (asin (* (sqrt t) (/ (* 3 (/ x (* y 27))) (* z 2)))))) (/ 1 3) (- (/ (pow (* 1/2 (PI)) 3) (+ (* (* (PI) 1/4) (PI)) (+ (pow (asin (* (sqrt t) (/ (* 3 (/ x (* y 27))) (* z 2)))) 2) (* (* 1/2 (PI)) (asin (* (sqrt t) (/ (* 3 (/ x (* y 27))) (* z 2)))))))) (/ (pow (asin (* (sqrt t) (/ (* 3 (/ x (* y 27))) (* z 2)))) 3) (+ (* (* (PI) 1/4) (PI)) (+ (pow (asin (* (sqrt t) (/ (* 3 (/ x (* y 27))) (* z 2)))) 2) (* (* 1/2 (PI)) (asin (* (sqrt t) (/ (* 3 (/ x (* y 27))) (* z 2))))))))) (/ (* 1/18 x) (* z y)) (* 1/18 x) (/ (/ (sqrt t) z) y) (* (/ (* (sqrt t) 1/18) z) (/ x y)) (* (sqrt t) 1/18) (/ (* (sqrt t) 1/18) z) (* (/ 1/18 y) (/ x z)) (* (sqrt t) (/ (* 3 (/ x (* y 27))) (* z 2))) (pow (* 1/2 (PI)) 3) (/ (pow (* 1/2 (PI)) 3) (+ (* (* (PI) 1/4) (PI)) (+ (pow (asin (* (sqrt t) (/ (* 3 (/ x (* y 27))) (* z 2)))) 2) (* (* 1/2 (PI)) (asin (* (sqrt t) (/ (* 3 (/ x (* y 27))) (* z 2)))))))))
59.0ms	x	@	-inf	((* (acos (* (sqrt t) (/ (* 1/18 x) (* z y)))) 1/3) (acos (* (sqrt t) (/ (* 1/18 x) (* z y)))) (* (sqrt t) (/ (* 1/18 x) (* z y))) (sqrt t) (* (acos (* (* (/ (/ (sqrt t) z) y) 1/18) x)) 1/3) (acos (* (* (/ (/ (sqrt t) z) y) 1/18) x)) (* (* (/ (/ (sqrt t) z) y) 1/18) x) (* (/ (/ (sqrt t) z) y) 1/18) (* (pow (acos (* (/ (* (sqrt t) 1/18) z) (/ x y))) -1) 3) (/ 1 (* (pow (acos (* (/ (* (sqrt t) 1/18) z) (/ x y))) -1) 3)) (pow (acos (* (/ (* (sqrt t) 1/18) z) (/ x y))) -1) (acos (* (/ (* (sqrt t) 1/18) z) (/ x y))) (pow (* (pow (acos (* (/ (* (sqrt t) 1/18) z) (/ x y))) -1) 3) -1) (* (/ 1 3) (- (/ (pow (* 1/2 (PI)) 3) (+ (* (* (PI) 1/4) (PI)) (+ (pow (asin (* (sqrt t) (/ (* 3 (/ x (* y 27))) (* z 2)))) 2) (* (* 1/2 (PI)) (asin (* (sqrt t) (/ (* 3 (/ x (* y 27))) (* z 2)))))))) (/ (pow (asin (* (sqrt t) (/ (* 3 (/ x (* y 27))) (* z 2)))) 3) (+ (* (* (PI) 1/4) (PI)) (+ (pow (asin (* (sqrt t) (/ (* 3 (/ x (* y 27))) (* z 2)))) 2) (* (* 1/2 (PI)) (asin (* (sqrt t) (/ (* 3 (/ x (* y 27))) (* z 2)))))))))) (+ (pow (asin (* (sqrt t) (/ (* 3 (/ x (* y 27))) (* z 2)))) 2) (* (* 1/2 (PI)) (asin (* (sqrt t) (/ (* 3 (/ x (* y 27))) (* z 2)))))) (/ 1 3) (- (/ (pow (* 1/2 (PI)) 3) (+ (* (* (PI) 1/4) (PI)) (+ (pow (asin (* (sqrt t) (/ (* 3 (/ x (* y 27))) (* z 2)))) 2) (* (* 1/2 (PI)) (asin (* (sqrt t) (/ (* 3 (/ x (* y 27))) (* z 2)))))))) (/ (pow (asin (* (sqrt t) (/ (* 3 (/ x (* y 27))) (* z 2)))) 3) (+ (* (* (PI) 1/4) (PI)) (+ (pow (asin (* (sqrt t) (/ (* 3 (/ x (* y 27))) (* z 2)))) 2) (* (* 1/2 (PI)) (asin (* (sqrt t) (/ (* 3 (/ x (* y 27))) (* z 2))))))))) (/ (* 1/18 x) (* z y)) (* 1/18 x) (/ (/ (sqrt t) z) y) (* (/ (* (sqrt t) 1/18) z) (/ x y)) (* (sqrt t) 1/18) (/ (* (sqrt t) 1/18) z) (* (/ 1/18 y) (/ x z)) (* (sqrt t) (/ (* 3 (/ x (* y 27))) (* z 2))) (pow (* 1/2 (PI)) 3) (/ (pow (* 1/2 (PI)) 3) (+ (* (* (PI) 1/4) (PI)) (+ (pow (asin (* (sqrt t) (/ (* 3 (/ x (* y 27))) (* z 2)))) 2) (* (* 1/2 (PI)) (asin (* (sqrt t) (/ (* 3 (/ x (* y 27))) (* z 2)))))))))
38.0ms	z	@	0	((* (acos (* (sqrt t) (/ (* 1/18 x) (* z y)))) 1/3) (acos (* (sqrt t) (/ (* 1/18 x) (* z y)))) (* (sqrt t) (/ (* 1/18 x) (* z y))) (sqrt t) (* (acos (* (* (/ (/ (sqrt t) z) y) 1/18) x)) 1/3) (acos (* (* (/ (/ (sqrt t) z) y) 1/18) x)) (* (* (/ (/ (sqrt t) z) y) 1/18) x) (* (/ (/ (sqrt t) z) y) 1/18) (* (pow (acos (* (/ (* (sqrt t) 1/18) z) (/ x y))) -1) 3) (/ 1 (* (pow (acos (* (/ (* (sqrt t) 1/18) z) (/ x y))) -1) 3)) (pow (acos (* (/ (* (sqrt t) 1/18) z) (/ x y))) -1) (acos (* (/ (* (sqrt t) 1/18) z) (/ x y))) (pow (* (pow (acos (* (/ (* (sqrt t) 1/18) z) (/ x y))) -1) 3) -1) (* (/ 1 3) (- (/ (pow (* 1/2 (PI)) 3) (+ (* (* (PI) 1/4) (PI)) (+ (pow (asin (* (sqrt t) (/ (* 3 (/ x (* y 27))) (* z 2)))) 2) (* (* 1/2 (PI)) (asin (* (sqrt t) (/ (* 3 (/ x (* y 27))) (* z 2)))))))) (/ (pow (asin (* (sqrt t) (/ (* 3 (/ x (* y 27))) (* z 2)))) 3) (+ (* (* (PI) 1/4) (PI)) (+ (pow (asin (* (sqrt t) (/ (* 3 (/ x (* y 27))) (* z 2)))) 2) (* (* 1/2 (PI)) (asin (* (sqrt t) (/ (* 3 (/ x (* y 27))) (* z 2)))))))))) (+ (pow (asin (* (sqrt t) (/ (* 3 (/ x (* y 27))) (* z 2)))) 2) (* (* 1/2 (PI)) (asin (* (sqrt t) (/ (* 3 (/ x (* y 27))) (* z 2)))))) (/ 1 3) (- (/ (pow (* 1/2 (PI)) 3) (+ (* (* (PI) 1/4) (PI)) (+ (pow (asin (* (sqrt t) (/ (* 3 (/ x (* y 27))) (* z 2)))) 2) (* (* 1/2 (PI)) (asin (* (sqrt t) (/ (* 3 (/ x (* y 27))) (* z 2)))))))) (/ (pow (asin (* (sqrt t) (/ (* 3 (/ x (* y 27))) (* z 2)))) 3) (+ (* (* (PI) 1/4) (PI)) (+ (pow (asin (* (sqrt t) (/ (* 3 (/ x (* y 27))) (* z 2)))) 2) (* (* 1/2 (PI)) (asin (* (sqrt t) (/ (* 3 (/ x (* y 27))) (* z 2))))))))) (/ (* 1/18 x) (* z y)) (* 1/18 x) (/ (/ (sqrt t) z) y) (* (/ (* (sqrt t) 1/18) z) (/ x y)) (* (sqrt t) 1/18) (/ (* (sqrt t) 1/18) z) (* (/ 1/18 y) (/ x z)) (* (sqrt t) (/ (* 3 (/ x (* y 27))) (* z 2))) (pow (* 1/2 (PI)) 3) (/ (pow (* 1/2 (PI)) 3) (+ (* (* (PI) 1/4) (PI)) (+ (pow (asin (* (sqrt t) (/ (* 3 (/ x (* y 27))) (* z 2)))) 2) (* (* 1/2 (PI)) (asin (* (sqrt t) (/ (* 3 (/ x (* y 27))) (* z 2)))))))))
15.0ms	y	@	inf	((* (acos (* (sqrt t) (/ (* 1/18 x) (* z y)))) 1/3) (acos (* (sqrt t) (/ (* 1/18 x) (* z y)))) (* (sqrt t) (/ (* 1/18 x) (* z y))) (sqrt t) (* (acos (* (* (/ (/ (sqrt t) z) y) 1/18) x)) 1/3) (acos (* (* (/ (/ (sqrt t) z) y) 1/18) x)) (* (* (/ (/ (sqrt t) z) y) 1/18) x) (* (/ (/ (sqrt t) z) y) 1/18) (* (pow (acos (* (/ (* (sqrt t) 1/18) z) (/ x y))) -1) 3) (/ 1 (* (pow (acos (* (/ (* (sqrt t) 1/18) z) (/ x y))) -1) 3)) (pow (acos (* (/ (* (sqrt t) 1/18) z) (/ x y))) -1) (acos (* (/ (* (sqrt t) 1/18) z) (/ x y))) (pow (* (pow (acos (* (/ (* (sqrt t) 1/18) z) (/ x y))) -1) 3) -1) (* (/ 1 3) (- (/ (pow (* 1/2 (PI)) 3) (+ (* (* (PI) 1/4) (PI)) (+ (pow (asin (* (sqrt t) (/ (* 3 (/ x (* y 27))) (* z 2)))) 2) (* (* 1/2 (PI)) (asin (* (sqrt t) (/ (* 3 (/ x (* y 27))) (* z 2)))))))) (/ (pow (asin (* (sqrt t) (/ (* 3 (/ x (* y 27))) (* z 2)))) 3) (+ (* (* (PI) 1/4) (PI)) (+ (pow (asin (* (sqrt t) (/ (* 3 (/ x (* y 27))) (* z 2)))) 2) (* (* 1/2 (PI)) (asin (* (sqrt t) (/ (* 3 (/ x (* y 27))) (* z 2)))))))))) (+ (pow (asin (* (sqrt t) (/ (* 3 (/ x (* y 27))) (* z 2)))) 2) (* (* 1/2 (PI)) (asin (* (sqrt t) (/ (* 3 (/ x (* y 27))) (* z 2)))))) (/ 1 3) (- (/ (pow (* 1/2 (PI)) 3) (+ (* (* (PI) 1/4) (PI)) (+ (pow (asin (* (sqrt t) (/ (* 3 (/ x (* y 27))) (* z 2)))) 2) (* (* 1/2 (PI)) (asin (* (sqrt t) (/ (* 3 (/ x (* y 27))) (* z 2)))))))) (/ (pow (asin (* (sqrt t) (/ (* 3 (/ x (* y 27))) (* z 2)))) 3) (+ (* (* (PI) 1/4) (PI)) (+ (pow (asin (* (sqrt t) (/ (* 3 (/ x (* y 27))) (* z 2)))) 2) (* (* 1/2 (PI)) (asin (* (sqrt t) (/ (* 3 (/ x (* y 27))) (* z 2))))))))) (/ (* 1/18 x) (* z y)) (* 1/18 x) (/ (/ (sqrt t) z) y) (* (/ (* (sqrt t) 1/18) z) (/ x y)) (* (sqrt t) 1/18) (/ (* (sqrt t) 1/18) z) (* (/ 1/18 y) (/ x z)) (* (sqrt t) (/ (* 3 (/ x (* y 27))) (* z 2))) (pow (* 1/2 (PI)) 3) (/ (pow (* 1/2 (PI)) 3) (+ (* (* (PI) 1/4) (PI)) (+ (pow (asin (* (sqrt t) (/ (* 3 (/ x (* y 27))) (* z 2)))) 2) (* (* 1/2 (PI)) (asin (* (sqrt t) (/ (* 3 (/ x (* y 27))) (* z 2)))))))))
15.0ms	x	@	inf	((* (acos (* (sqrt t) (/ (* 1/18 x) (* z y)))) 1/3) (acos (* (sqrt t) (/ (* 1/18 x) (* z y)))) (* (sqrt t) (/ (* 1/18 x) (* z y))) (sqrt t) (* (acos (* (* (/ (/ (sqrt t) z) y) 1/18) x)) 1/3) (acos (* (* (/ (/ (sqrt t) z) y) 1/18) x)) (* (* (/ (/ (sqrt t) z) y) 1/18) x) (* (/ (/ (sqrt t) z) y) 1/18) (* (pow (acos (* (/ (* (sqrt t) 1/18) z) (/ x y))) -1) 3) (/ 1 (* (pow (acos (* (/ (* (sqrt t) 1/18) z) (/ x y))) -1) 3)) (pow (acos (* (/ (* (sqrt t) 1/18) z) (/ x y))) -1) (acos (* (/ (* (sqrt t) 1/18) z) (/ x y))) (pow (* (pow (acos (* (/ (* (sqrt t) 1/18) z) (/ x y))) -1) 3) -1) (* (/ 1 3) (- (/ (pow (* 1/2 (PI)) 3) (+ (* (* (PI) 1/4) (PI)) (+ (pow (asin (* (sqrt t) (/ (* 3 (/ x (* y 27))) (* z 2)))) 2) (* (* 1/2 (PI)) (asin (* (sqrt t) (/ (* 3 (/ x (* y 27))) (* z 2)))))))) (/ (pow (asin (* (sqrt t) (/ (* 3 (/ x (* y 27))) (* z 2)))) 3) (+ (* (* (PI) 1/4) (PI)) (+ (pow (asin (* (sqrt t) (/ (* 3 (/ x (* y 27))) (* z 2)))) 2) (* (* 1/2 (PI)) (asin (* (sqrt t) (/ (* 3 (/ x (* y 27))) (* z 2)))))))))) (+ (pow (asin (* (sqrt t) (/ (* 3 (/ x (* y 27))) (* z 2)))) 2) (* (* 1/2 (PI)) (asin (* (sqrt t) (/ (* 3 (/ x (* y 27))) (* z 2)))))) (/ 1 3) (- (/ (pow (* 1/2 (PI)) 3) (+ (* (* (PI) 1/4) (PI)) (+ (pow (asin (* (sqrt t) (/ (* 3 (/ x (* y 27))) (* z 2)))) 2) (* (* 1/2 (PI)) (asin (* (sqrt t) (/ (* 3 (/ x (* y 27))) (* z 2)))))))) (/ (pow (asin (* (sqrt t) (/ (* 3 (/ x (* y 27))) (* z 2)))) 3) (+ (* (* (PI) 1/4) (PI)) (+ (pow (asin (* (sqrt t) (/ (* 3 (/ x (* y 27))) (* z 2)))) 2) (* (* 1/2 (PI)) (asin (* (sqrt t) (/ (* 3 (/ x (* y 27))) (* z 2))))))))) (/ (* 1/18 x) (* z y)) (* 1/18 x) (/ (/ (sqrt t) z) y) (* (/ (* (sqrt t) 1/18) z) (/ x y)) (* (sqrt t) 1/18) (/ (* (sqrt t) 1/18) z) (* (/ 1/18 y) (/ x z)) (* (sqrt t) (/ (* 3 (/ x (* y 27))) (* z 2))) (pow (* 1/2 (PI)) 3) (/ (pow (* 1/2 (PI)) 3) (+ (* (* (PI) 1/4) (PI)) (+ (pow (asin (* (sqrt t) (/ (* 3 (/ x (* y 27))) (* z 2)))) 2) (* (* 1/2 (PI)) (asin (* (sqrt t) (/ (* 3 (/ x (* y 27))) (* z 2)))))))))

simplify225.0ms (0.7%)

Memory

-9.6MiB live, 272.2MiB allocated

Algorithm

1×	egg-herbie

Rules

4 518×	`lower-*.f64`
4 518×	`lower-*.f32`
3 550×	`lower-fma.f64`
3 550×	`lower-fma.f32`
2 420×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	21352
1	178	20216
2	490	20124
3	2085	20124
4	5461	18540
5	7402	18492
0	8193	18060

Stop Event

1×	iter limit
1×	node limit

Counts

1 020 → 1 020

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

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

rewrite199.0ms (0.6%)

Memory

-5.0MiB live, 384.3MiB allocated

Rules

5 754×	`lower-*.f32`
5 724×	`lower-*.f64`
4 018×	`lower-fma.f32`
4 016×	`lower-fma.f64`
3 532×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	639
0	104	513
1	355	481
2	2474	481
0	8264	477

Stop Event

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

Counts

27 → 941

Calls

Call 1

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

Outputs
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eval518.0ms (1.7%)

Memory: 33.9MiB live, 946.5MiB allocated
Compiler: Compiled 170 860 to 5 018 computations (97.1% saved)

prune99.0ms (0.3%)

Memory

-27.7MiB live, 253.1MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	3 174	5	3 179
Fresh	0	0	0
Picked	5	0	5
Done	0	0	0
Total	3 179	5	3 184

Accuracy

100.0%

Counts

3 184 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.4%	(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))
▶	98.8%	(pow.f64 #s(approx (* (pow (acos (* (/ (* (sqrt t) 1/18) z) (/ x y))) -1) 3) (/.f64 #s(literal 3 binary64) (acos.f64 (.f64 (.f64 (/.f64 (sqrt.f64 t) y) #s(literal 1/18 binary64)) (/.f64 x z))))) #s(literal -1 binary64))
▶	96.9%	(/.f64 (acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 3 binary64))
▶	97.3%	(/.f64 #s(literal 1 binary64) (.f64 #s(approx (pow (acos ( (/ (* (sqrt t) 1/18) z) (/ x y))) -1) (/.f64 #s(literal 1 binary64) (acos.f64 (.f64 (.f64 (/.f64 (sqrt.f64 t) y) #s(literal 1/18 binary64)) (/.f64 x z))))) #s(literal 3 binary64)))
▶	98.5%	(.f64 (acos.f64 (.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (.f64 y z)) x)) #s(literal 1/3 binary64))

Compiler

Compiled 150 to 148 computations (1.3% saved)

simplify13.0ms (0%)

Memory

25.5MiB live, 25.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

248×	`lower-*.f32`
230×	`lower-*.f64`
100×	`lower-/.f32`
82×	`lower-/.f64`
80×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	44	452
0	69	450
1	112	444
2	208	444
3	303	444
4	317	444
5	324	444
6	329	444
7	332	444
0	332	444

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize164.0ms (0.5%)

Memory

-39.2MiB live, 213.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.21875	(/.f64 (sqrt.f64 t) z)
accuracy	0.28744125976844204	(.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
accuracy	4.0137033441366174	(/.f64 (/.f64 (sqrt.f64 t) z) y)
accuracy	5.436684482560108	(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)
accuracy	0.25390625	(/.f64 (sqrt.f64 t) y)
accuracy	0.35908129884221013	(*.f64 (/.f64 (sqrt.f64 t) y) #s(literal 1/18 binary64))
accuracy	0.98046875	(/.f64 #s(literal 1 binary64) (.f64 #s(approx (pow (acos ( (/ (* (sqrt t) 1/18) z) (/ x y))) -1) (/.f64 #s(literal 1 binary64) (acos.f64 (.f64 (.f64 (/.f64 (sqrt.f64 t) y) #s(literal 1/18 binary64)) (/.f64 x z))))) #s(literal 3 binary64)))
accuracy	5.613848384015836	(.f64 (.f64 (/.f64 (sqrt.f64 t) y) #s(literal 1/18 binary64)) (/.f64 x z))
accuracy	0.28744125976844204	(.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
accuracy	0.98046875	(/.f64 (acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 3 binary64))
accuracy	4.0137033441366174	(/.f64 (/.f64 (sqrt.f64 t) z) y)
accuracy	5.436684482560108	(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)
accuracy	0.35289003907376804	(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
accuracy	0.98828125	(.f64 (acos.f64 (.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (.f64 y z)) x)) #s(literal 1/3 binary64))
accuracy	3.9397001141915036	(/.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (.f64 y z))
accuracy	5.479132235665966	(.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 y z)) x)
accuracy	0.0078125	(/.f64 #s(literal 3 binary64) (acos.f64 (.f64 (.f64 (/.f64 (sqrt.f64 t) y) #s(literal 1/18 binary64)) (/.f64 x z))))
accuracy	0.25390625	(/.f64 (sqrt.f64 t) y)
accuracy	0.35908129884221013	(*.f64 (/.f64 (sqrt.f64 t) y) #s(literal 1/18 binary64))
accuracy	5.613848384015836	(.f64 (.f64 (/.f64 (sqrt.f64 t) y) #s(literal 1/18 binary64)) (/.f64 x z))

Samples

112.0ms

256×

valid

Compiler

Compiled 384 to 42 computations (89.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 85.0ms

ival-mult: 39.0ms (46.1% of total)

ival-div: 19.0ms (22.5% of total)

ival-acos: 10.0ms (11.8% of total)

ival-pow: 8.0ms (9.5% of total)

const: 7.0ms (8.3% of total)

ival-sqrt: 2.0ms (2.4% of total)

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

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

exact: 0.0ms (0% of total)

series176.0ms (0.6%)

Memory

26.5MiB live, 106.7MiB allocated

Counts

23 → 972

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
38.0ms	y	@	-inf	((pow (* (pow (acos (* (/ (* (sqrt t) 1/18) z) (/ x y))) -1) 3) -1) (* (pow (acos (* (/ (* (sqrt t) 1/18) z) (/ x y))) -1) 3) (/ 3 (acos (* (* (/ (sqrt t) y) 1/18) (/ x z)))) (acos (* (* (/ (sqrt t) y) 1/18) (/ x z))) (* (acos (* (/ (* 1/18 (sqrt t)) (* y z)) x)) 1/3) (acos (* (/ (* 1/18 (sqrt t)) (* y z)) x)) (* (/ (* 1/18 (sqrt t)) (* y z)) x) (* 1/18 (sqrt t)) (/ (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 3) (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (* (* (/ (/ (sqrt t) z) y) x) 1/18) (* (/ (/ (sqrt t) z) y) x) (/ 1 (* (pow (acos (* (/ (* (sqrt t) 1/18) z) (/ x y))) -1) 3)) (* (pow (acos (* (/ (* (sqrt t) 1/18) z) (/ x y))) -1) 3) (pow (acos (* (/ (* (sqrt t) 1/18) z) (/ x y))) -1) (pow (/ 3 (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18))) -1) (/ 3 (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18))) (* (* (/ (sqrt t) y) 1/18) (/ x z)) (* (/ (sqrt t) y) 1/18) (/ (sqrt t) y) (/ (* 1/18 (sqrt t)) (* y z)) (/ (/ (sqrt t) z) y) (/ (sqrt t) z))
4.0ms	t	@	inf	((pow (* (pow (acos (* (/ (* (sqrt t) 1/18) z) (/ x y))) -1) 3) -1) (* (pow (acos (* (/ (* (sqrt t) 1/18) z) (/ x y))) -1) 3) (/ 3 (acos (* (* (/ (sqrt t) y) 1/18) (/ x z)))) (acos (* (* (/ (sqrt t) y) 1/18) (/ x z))) (* (acos (* (/ (* 1/18 (sqrt t)) (* y z)) x)) 1/3) (acos (* (/ (* 1/18 (sqrt t)) (* y z)) x)) (* (/ (* 1/18 (sqrt t)) (* y z)) x) (* 1/18 (sqrt t)) (/ (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 3) (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (* (* (/ (/ (sqrt t) z) y) x) 1/18) (* (/ (/ (sqrt t) z) y) x) (/ 1 (* (pow (acos (* (/ (* (sqrt t) 1/18) z) (/ x y))) -1) 3)) (* (pow (acos (* (/ (* (sqrt t) 1/18) z) (/ x y))) -1) 3) (pow (acos (* (/ (* (sqrt t) 1/18) z) (/ x y))) -1) (pow (/ 3 (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18))) -1) (/ 3 (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18))) (* (* (/ (sqrt t) y) 1/18) (/ x z)) (* (/ (sqrt t) y) 1/18) (/ (sqrt t) y) (/ (* 1/18 (sqrt t)) (* y z)) (/ (/ (sqrt t) z) y) (/ (sqrt t) z))
4.0ms	t	@	-inf	((pow (* (pow (acos (* (/ (* (sqrt t) 1/18) z) (/ x y))) -1) 3) -1) (* (pow (acos (* (/ (* (sqrt t) 1/18) z) (/ x y))) -1) 3) (/ 3 (acos (* (* (/ (sqrt t) y) 1/18) (/ x z)))) (acos (* (* (/ (sqrt t) y) 1/18) (/ x z))) (* (acos (* (/ (* 1/18 (sqrt t)) (* y z)) x)) 1/3) (acos (* (/ (* 1/18 (sqrt t)) (* y z)) x)) (* (/ (* 1/18 (sqrt t)) (* y z)) x) (* 1/18 (sqrt t)) (/ (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 3) (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (* (* (/ (/ (sqrt t) z) y) x) 1/18) (* (/ (/ (sqrt t) z) y) x) (/ 1 (* (pow (acos (* (/ (* (sqrt t) 1/18) z) (/ x y))) -1) 3)) (* (pow (acos (* (/ (* (sqrt t) 1/18) z) (/ x y))) -1) 3) (pow (acos (* (/ (* (sqrt t) 1/18) z) (/ x y))) -1) (pow (/ 3 (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18))) -1) (/ 3 (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18))) (* (* (/ (sqrt t) y) 1/18) (/ x z)) (* (/ (sqrt t) y) 1/18) (/ (sqrt t) y) (/ (* 1/18 (sqrt t)) (* y z)) (/ (/ (sqrt t) z) y) (/ (sqrt t) z))
3.0ms	t	@	0	((pow (* (pow (acos (* (/ (* (sqrt t) 1/18) z) (/ x y))) -1) 3) -1) (* (pow (acos (* (/ (* (sqrt t) 1/18) z) (/ x y))) -1) 3) (/ 3 (acos (* (* (/ (sqrt t) y) 1/18) (/ x z)))) (acos (* (* (/ (sqrt t) y) 1/18) (/ x z))) (* (acos (* (/ (* 1/18 (sqrt t)) (* y z)) x)) 1/3) (acos (* (/ (* 1/18 (sqrt t)) (* y z)) x)) (* (/ (* 1/18 (sqrt t)) (* y z)) x) (* 1/18 (sqrt t)) (/ (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 3) (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (* (* (/ (/ (sqrt t) z) y) x) 1/18) (* (/ (/ (sqrt t) z) y) x) (/ 1 (* (pow (acos (* (/ (* (sqrt t) 1/18) z) (/ x y))) -1) 3)) (* (pow (acos (* (/ (* (sqrt t) 1/18) z) (/ x y))) -1) 3) (pow (acos (* (/ (* (sqrt t) 1/18) z) (/ x y))) -1) (pow (/ 3 (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18))) -1) (/ 3 (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18))) (* (* (/ (sqrt t) y) 1/18) (/ x z)) (* (/ (sqrt t) y) 1/18) (/ (sqrt t) y) (/ (* 1/18 (sqrt t)) (* y z)) (/ (/ (sqrt t) z) y) (/ (sqrt t) z))
3.0ms	z	@	-inf	((pow (* (pow (acos (* (/ (* (sqrt t) 1/18) z) (/ x y))) -1) 3) -1) (* (pow (acos (* (/ (* (sqrt t) 1/18) z) (/ x y))) -1) 3) (/ 3 (acos (* (* (/ (sqrt t) y) 1/18) (/ x z)))) (acos (* (* (/ (sqrt t) y) 1/18) (/ x z))) (* (acos (* (/ (* 1/18 (sqrt t)) (* y z)) x)) 1/3) (acos (* (/ (* 1/18 (sqrt t)) (* y z)) x)) (* (/ (* 1/18 (sqrt t)) (* y z)) x) (* 1/18 (sqrt t)) (/ (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 3) (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (* (* (/ (/ (sqrt t) z) y) x) 1/18) (* (/ (/ (sqrt t) z) y) x) (/ 1 (* (pow (acos (* (/ (* (sqrt t) 1/18) z) (/ x y))) -1) 3)) (* (pow (acos (* (/ (* (sqrt t) 1/18) z) (/ x y))) -1) 3) (pow (acos (* (/ (* (sqrt t) 1/18) z) (/ x y))) -1) (pow (/ 3 (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18))) -1) (/ 3 (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18))) (* (* (/ (sqrt t) y) 1/18) (/ x z)) (* (/ (sqrt t) y) 1/18) (/ (sqrt t) y) (/ (* 1/18 (sqrt t)) (* y z)) (/ (/ (sqrt t) z) y) (/ (sqrt t) z))

simplify302.0ms (1%)

Memory

14.7MiB live, 173.0MiB allocated

Algorithm

1×	egg-herbie

Rules

3 648×	`lower-*.f64`
3 648×	`lower-*.f32`
2 182×	`lower-fma.f64`
2 182×	`lower-fma.f32`
1 860×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	54	11084
1	120	10588
2	428	10536
3	1693	10536
4	4372	10536
5	6765	10536
0	8088	10536

Stop Event

1×	iter limit
1×	node limit

Counts

972 → 972

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

rewrite426.0ms (1.4%)

Memory

-33.2MiB live, 240.5MiB allocated

Rules

3 858×	`lower-*.f32`
3 840×	`lower-*.f64`
2 550×	`lower-/.f32`
2 532×	`lower-/.f64`
1 406×	`frac-times`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	44	317
0	69	315
1	217	309
2	996	309
3	6436	309
0	8118	309

Stop Event

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

Counts

23 → 1 682

Calls

Call 1

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

Outputs
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eval6.0s (19.3%)

Memory: 60.9MiB live, 800.0MiB allocated
Compiler: Compiled 70 013 to 7 087 computations (89.9% saved)

prune833.0ms (2.7%)

Memory

-36.8MiB live, 620.4MiB allocated

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	3 861	3	3 864
Fresh	0	0	0
Picked	4	1	5
Done	0	0	0
Total	3 865	4	3 869

Accuracy

100.0%

Counts

3 869 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
	100.0%	(pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (.f64 (/.f64 x (.f64 (*.f64 y z) #s(literal 18 binary64))) (sqrt.f64 t)))) #s(literal -1 binary64))
	97.7%	(/.f64 (acos.f64 (/.f64 (.f64 (.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) (*.f64 y z))) #s(literal 3 binary64))
	97.7%	(/.f64 #s(literal 1 binary64) (.f64 #s(approx (pow (acos ( (/ (* (sqrt t) 1/18) z) (/ x y))) -1) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (.f64 (.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) (*.f64 y z))))) #s(literal 3 binary64)))
✓	98.5%	(.f64 (acos.f64 (.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (.f64 y z)) x)) #s(literal 1/3 binary64))

Compiler

Compiled 453 to 188 computations (58.5% saved)

regimes203.0ms (0.7%)

Memory

-17.3MiB live, 101.8MiB allocated

Counts

19 → 1

Calls

Call 1

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

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

Calls

13 calls:

61.0ms	(*.f64 y #s(literal 27 binary64))
41.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
6.0ms	(*.f64 z #s(literal 2 binary64))
5.0ms	x
5.0ms	(sqrt.f64 t)

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`t`
100.0%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))`
100.0%	1	`(acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))`
100.0%	1	`(.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t))`
100.0%	1	`(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))`
100.0%	1	`(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))`
100.0%	1	`(/.f64 x (*.f64 y #s(literal 27 binary64)))`
100.0%	1	`(*.f64 y #s(literal 27 binary64))`
100.0%	1	`(*.f64 z #s(literal 2 binary64))`
100.0%	1	`(sqrt.f64 t)`

Compiler

Compiled 83 to 108 computations (-30.1% saved)

regimes155.0ms (0.5%)

Memory

31.0MiB live, 110.2MiB allocated

Counts

12 → 1

Calls

Call 1

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

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

Calls

13 calls:

62.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
51.0ms	(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))
4.0ms	(sqrt.f64 t)
4.0ms	(*.f64 z #s(literal 2 binary64))
4.0ms	(*.f64 y #s(literal 27 binary64))

Results

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

Compiler

Compiled 83 to 108 computations (-30.1% saved)

regimes63.0ms (0.2%)

Memory

-2.3MiB live, 40.5MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

13 calls:

48.0ms	(*.f64 z #s(literal 2 binary64))
1.0ms	(*.f64 y #s(literal 27 binary64))
1.0ms	(sqrt.f64 t)
1.0ms	(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
1.0ms	x

Results

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

Compiler

Compiled 83 to 108 computations (-30.1% saved)

simplify69.0ms (0.2%)

Memory

3.4MiB live, 42.8MiB allocated

Algorithm

1×	egg-herbie

Rules

18×	`-commutative-binary64-.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	41
1	37	41

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

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

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

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

soundness792.0ms (2.5%)

Memory

-16.7MiB live, 459.0MiB allocated

Rules

5 832×	`lower-*.f32`
5 822×	`lower-*.f64`
5 754×	`lower-*.f32`
5 724×	`lower-*.f64`
5 262×	`lower-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	60	344
0	99	315
1	285	307
2	1764	297
0	8441	297
0	44	317
0	69	315
1	217	309
2	996	309
3	6436	309
0	8118	309
0	60	639
0	104	513
1	355	481
2	2474	481
0	8264	477
0	18	55
0	29	55
1	69	47
2	387	41
3	3742	41
0	8214	41

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 300 to 192 computations (36% saved)

preprocess94.0ms (0.3%)

Memory: 22.1MiB live, 100.3MiB allocated
Remove: (sort y z)
Compiler: Compiled 274 to 242 computations (11.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	44	452
0	69	450
1	112	444
2	208	444
3	303	444
4	317	444
5	324	444
6	329	444
7	332	444
0	332	444

Iter	Nodes	Cost
0	44	452
0	69	450
1	112	444
2	208	444
3	303	444
4	317	444
5	324	444
6	329	444
7	332	444
0	332	444

start0.0ms (0%)

analyze374.0ms (1.2%)

sample6.3s (20.1%)

explain246.0ms (0.8%)

preprocess167.0ms (0.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify65.0ms (0.2%)

localize53.0ms (0.2%)

series38.0ms (0.1%)

simplify115.0ms (0.4%)

rewrite179.0ms (0.6%)

eval183.0ms (0.6%)

prune52.0ms (0.2%)

simplify252.0ms (0.8%)

localize8.1s (26%)

series112.0ms (0.4%)

simplify207.0ms (0.7%)

rewrite681.0ms (2.2%)

eval793.0ms (2.6%)

prune271.0ms (0.9%)

simplify329.0ms (1.1%)

localize498.0ms (1.6%)

series1.8s (5.8%)

simplify225.0ms (0.7%)

rewrite199.0ms (0.6%)

eval518.0ms (1.7%)

prune99.0ms (0.3%)

simplify13.0ms (0%)

localize164.0ms (0.5%)

series176.0ms (0.6%)

simplify302.0ms (1%)

rewrite426.0ms (1.4%)

eval6.0s (19.3%)

prune833.0ms (2.7%)

regimes203.0ms (0.7%)

regimes155.0ms (0.5%)

regimes63.0ms (0.2%)

simplify69.0ms (0.2%)

soundness792.0ms (2.5%)

preprocess94.0ms (0.3%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	44	452
0	69	450
1	112	444
2	208	444
3	303	444
4	317	444
5	324	444
6	329	444
7	332	444
0	332	444