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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze373.0ms (1.3%)

Memory

27.3MiB live, 481.7MiB 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)

sample6.0s (21%)

Memory

68.5MiB live, 6 008.4MiB allocated

Samples

2.8s	15 559×	0	invalid
1.1s	8 256×	0	valid

Precisions

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

ival-mult: 1.4s (49.2% of total)

ival-div: 931.0ms (33.8% of total)

ival-acos: 213.0ms (7.7% of total)

ival-sqrt: 187.0ms (6.8% of total)

exact: 40.0ms (1.5% of total)

ival-true: 17.0ms (0.6% of total)

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

Bogosity

explain211.0ms (0.7%)

Memory

16.6MiB live, 410.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
28	-	3	(-5.946755753587382e-292 3.9522620965881816e+21 1.0702299370658914e-67 2.608471588832029e+156)	`(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))`
19	-	3	(-1.4722375638762328e-245 4.7889202568882665e+270 1.1571601297217406e-201 4.799386917040094e+173)	`(.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	22	0
↳	`(/.f64 x (*.f64 y #s(literal 27 binary64)))`	underflow	59
↳	`(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))`	underflow	59
`*.f64`	`(.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t))`	*nu**	16	0
`/.f64`	`(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))`	o/n	3	0
↳	`(*.f64 y #s(literal 27 binary64))`	overflow	2
↳	`(/.f64 x (*.f64 y #s(literal 27 binary64)))`	overflow	3
↳	`(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))`	overflow	3
`/.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
-	40	213

Precision

0.06976744186046512

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	3	0	0
-	40	0	213

Precision?

0.06976744186046512

Recall?

1.0

Freqs

test

number	freq
0	213
1	43

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

74.0ms

512×

valid

Compiler

Compiled 293 to 76 computations (74.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-mult: 30.0ms (60% of total)

ival-div: 10.0ms (20% of total)

ival-acos: 5.0ms (10% of total)

ival-sqrt: 4.0ms (8% of total)

exact: 1.0ms (2% of total)

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

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

preprocess136.0ms (0.5%)

Memory

12.8MiB live, 131.1MiB allocated

Algorithm

1×	egg-herbie

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 (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: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 0 to 4 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.1%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))

Status

Accuracy

Program

▶

98.1%

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

Compiler

Compiled 19 to 18 computations (5.3% saved)

simplify86.0ms (0.3%)

Memory

-14.6MiB live, 70.0MiB 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))

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

localize51.0ms (0.2%)

Memory

-19.0MiB live, 91.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.41530559953304524	(/.f64 x (*.f64 y #s(literal 27 binary64)))
accuracy	0.97265625	(.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	3.6463945407424294	(.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	6.009826294383282	(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))

Samples

35.0ms

256×

valid

Compiler

Compiled 182 to 38 computations (79.1% saved)

Precisions

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

ival-mult: 7.0ms (41.3% of total)

ival-div: 5.0ms (29.5% of total)

ival-sqrt: 2.0ms (11.8% of total)

ival-acos: 2.0ms (11.8% of total)

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

exact: 0.0ms (0% of total)

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

series46.0ms (0.2%)

Memory

2.2MiB live, 86.5MiB allocated

Counts

6 → 180

Calls

Call 1

Inputs
#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (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 #<batchref> (patch (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) #<representation binary64>) () ())
#s(alt #<batchref> (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 #<batchref> (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 #<batchref> (patch (/.f64 x (*.f64 y #s(literal 27 binary64))) #<representation binary64>) () ())

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

12 calls:

Time	Variable		Point	Expression
10.0ms	y	@	-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)))
5.0ms	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)))
4.0ms	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)))

simplify240.0ms (0.8%)

Memory

19.6MiB live, 134.3MiB allocated

Algorithm

1×	egg-herbie

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

rewrite172.0ms (0.6%)

Memory

32.9MiB live, 257.6MiB allocated

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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eval191.0ms (0.7%)

Memory: -5.6MiB live, 281.0MiB allocated
Compiler: Compiled 16 774 to 3 097 computations (81.5% saved)

prune102.0ms (0.4%)

Memory

-19.5MiB live, 100.8MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

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

Accuracy

98.5%

Counts

769 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.1%	(/.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))))))
▶	98.1%	(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64)) (.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 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))))))
▶	98.1%	(.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64))
▶	97.3%	#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 135 to 91 computations (32.6% saved)

simplify369.0ms (1.3%)

Memory

2.9MiB live, 156.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64)))
cost-diff	0	(-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))
cost-diff	0	(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))))
cost-diff	128	(.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64))
cost-diff	0	(*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))
cost-diff	0	(-.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 3 binary64)))
cost-diff	0	(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64)) (.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 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))))))
cost-diff	128	(.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 3 binary64))) #s(literal 1/3 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)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	544
0	85	544
1	149	542
2	341	540
3	830	540
4	2236	540
5	3991	540
6	4694	540
7	5587	540
8	7428	540
0	8069	536

Stop Event

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

Calls

Call 1

Inputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (.f64 (acos.f64 (.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)))
(.f64 (acos.f64 (.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))
(.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)
(/.f64 (/.f64 (sqrt.f64 t) z) y)
(/.f64 (sqrt.f64 t) z)
(sqrt.f64 t)
t
z
y
x
#s(literal 1/18 binary64)
#s(literal 1/3 binary64)
(.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64))
(acos.f64 (.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))
(.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
(sqrt.f64 t)
t
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
#s(literal 1/18 binary64)
(/.f64 (/.f64 x y) z)
(/.f64 x y)
x
y
z
#s(literal 1/3 binary64)
(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64)) (.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 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))))))
(.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 3 binary64))) #s(literal 1/3 binary64))
(-.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 3 binary64)))
(*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))
#s(literal 1/8 binary64)
(pow.f64 (PI.f64) #s(literal 3 binary64))
(PI.f64)
#s(literal 3 binary64)
(pow.f64 (asin.f64 (.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 3 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 1/3 binary64)
(fma.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64)) (.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 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))))))
#s(literal 1/4 binary64)
(*.f64 (PI.f64) (PI.f64))
(.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 (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 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))))
#s(literal 1/2 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
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 1/3 binary64)))
(.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 1/3 binary64))
(acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))
(.f64 #s(literal 1/18 binary64) (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) 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 1/3 binary64)
(.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 1/3 binary64))
(acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))
(.f64 #s(literal 1/18 binary64) (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))
(sqrt.f64 t)
t
(*.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 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (.f64 #s(literal 1/18 binary64) (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 3 binary64)) (.f64 #s(literal 1/24 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (.f64 #s(literal 1/18 binary64) (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) (asin.f64 (.f64 #s(literal 1/18 binary64) (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (.f64 #s(literal 1/18 binary64) (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 3 binary64)) (*.f64 #s(literal 1/24 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))
(-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64))
#s(literal 1/8 binary64)
(pow.f64 (PI.f64) #s(literal 3 binary64))
(PI.f64)
#s(literal 3 binary64)
(pow.f64 (asin.f64 (.f64 #s(literal 1/18 binary64) (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 3 binary64))
(asin.f64 (.f64 #s(literal 1/18 binary64) (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))
(.f64 #s(literal 1/18 binary64) (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))
(sqrt.f64 t)
t
(*.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)
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (.f64 #s(literal 1/18 binary64) (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) (asin.f64 (.f64 #s(literal 1/18 binary64) (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))
#s(literal 1/4 binary64)
(*.f64 (PI.f64) (PI.f64))
(.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (.f64 #s(literal 1/18 binary64) (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) (asin.f64 (.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (.f64 #s(literal 1/18 binary64) (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))))
#s(literal 1/2 binary64)
(/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (.f64 #s(literal 1/18 binary64) (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64)) (.f64 #s(literal 1/12 binary64) (.f64 (PI.f64) (PI.f64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (.f64 #s(literal 1/18 binary64) (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (.f64 #s(literal 1/18 binary64) (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64)) (.f64 #s(literal 1/12 binary64) (.f64 (PI.f64) (PI.f64))))
(-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (.f64 #s(literal 1/18 binary64) (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64)))
(.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 #s(literal 1/18 binary64) (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64))
(asin.f64 (.f64 #s(literal 1/18 binary64) (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))
(.f64 #s(literal 1/18 binary64) (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))
(sqrt.f64 t)
t
(*.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 #s(literal 1/18 binary64) (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))))
#s(literal 1/2 binary64)

localize219.0ms (0.8%)

Memory

-6.2MiB live, 293.1MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.2265625	(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
accuracy	0.984375	(.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	3.6463945407424294	(.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
accuracy	5.959514068762761	(/.f64 (/.f64 x y) z)
accuracy	0.98828125	(.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 3 binary64))) #s(literal 1/3 binary64))
accuracy	1.0	(pow.f64 (PI.f64) #s(literal 3 binary64))
accuracy	3.6463945407424294	(.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
accuracy	5.959514068762761	(/.f64 (/.f64 x y) z)
accuracy	0.2265625	(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
accuracy	0.97265625	(.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64))
accuracy	3.6463945407424294	(.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
accuracy	5.959514068762761	(/.f64 (/.f64 x y) z)
accuracy	0.31869125976844204	(.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
accuracy	0.97265625	(.f64 (acos.f64 (.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
accuracy	1.6570754564357086	(/.f64 (/.f64 (sqrt.f64 t) z) y)
accuracy	4.401434370690517	(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)

Samples

167.0ms

256×

valid

Compiler

Compiled 1 088 to 111 computations (89.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 139.0ms

ival-pow: 55.0ms (39.5% of total)

ival-mult: 28.0ms (20.1% of total)

const: 24.0ms (17.2% of total)

ival-div: 14.0ms (10% of total)

ival-acos: 6.0ms (4.3% of total)

ival-add: 2.0ms (1.4% of total)

ival-asin: 2.0ms (1.4% of total)

ival-sub: 2.0ms (1.4% of total)

ival-sqrt: 2.0ms (1.4% of total)

ival-pow2: 2.0ms (1.4% of total)

ival-pi: 1.0ms (0.7% of total)

exact: 1.0ms (0.7% of total)

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

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

series205.0ms (0.7%)

Memory

-5.5MiB live, 232.9MiB allocated

Counts

21 → 792

Calls

Call 1

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

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

12 calls:

Time	Variable		Point	Expression
17.0ms	t	@	0	((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 1/3) (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (* (* (/ (/ (sqrt t) z) y) x) 1/18) (* (acos (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 1/3) (acos (* (sqrt t) (* 1/18 (/ (/ x y) z)))) (* (sqrt t) (* 1/18 (/ (/ x y) z))) (sqrt t) (* (- (* 1/8 (pow (PI) 3)) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 3)) 1/3) (/ (* (- (* 1/8 (pow (PI) 3)) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 3)) 1/3) (+ (* 1/4 (* (PI) (PI))) (* (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) (+ (* 1/2 (PI)) (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 3)) (* 1/8 (pow (PI) 3)) (* (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) 1/3) (/ (* (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) 1/3) (+ (* 1/2 (PI)) (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))))) (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) (* 1/4 (* (PI) (PI))) (* (/ (/ (sqrt t) z) y) x) (/ (/ (sqrt t) z) y) (/ (/ x y) z) (* 1/18 (/ (/ x y) z)) (pow (PI) 3))
14.0ms	z	@	-inf	((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 1/3) (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (* (* (/ (/ (sqrt t) z) y) x) 1/18) (* (acos (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 1/3) (acos (* (sqrt t) (* 1/18 (/ (/ x y) z)))) (* (sqrt t) (* 1/18 (/ (/ x y) z))) (sqrt t) (* (- (* 1/8 (pow (PI) 3)) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 3)) 1/3) (/ (* (- (* 1/8 (pow (PI) 3)) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 3)) 1/3) (+ (* 1/4 (* (PI) (PI))) (* (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) (+ (* 1/2 (PI)) (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 3)) (* 1/8 (pow (PI) 3)) (* (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) 1/3) (/ (* (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) 1/3) (+ (* 1/2 (PI)) (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))))) (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) (* 1/4 (* (PI) (PI))) (* (/ (/ (sqrt t) z) y) x) (/ (/ (sqrt t) z) y) (/ (/ x y) z) (* 1/18 (/ (/ x y) z)) (pow (PI) 3))
8.0ms	x	@	inf	((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 1/3) (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (* (* (/ (/ (sqrt t) z) y) x) 1/18) (* (acos (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 1/3) (acos (* (sqrt t) (* 1/18 (/ (/ x y) z)))) (* (sqrt t) (* 1/18 (/ (/ x y) z))) (sqrt t) (* (- (* 1/8 (pow (PI) 3)) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 3)) 1/3) (/ (* (- (* 1/8 (pow (PI) 3)) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 3)) 1/3) (+ (* 1/4 (* (PI) (PI))) (* (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) (+ (* 1/2 (PI)) (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 3)) (* 1/8 (pow (PI) 3)) (* (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) 1/3) (/ (* (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) 1/3) (+ (* 1/2 (PI)) (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))))) (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) (* 1/4 (* (PI) (PI))) (* (/ (/ (sqrt t) z) y) x) (/ (/ (sqrt t) z) y) (/ (/ x y) z) (* 1/18 (/ (/ x y) z)) (pow (PI) 3))
8.0ms	t	@	-inf	((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 1/3) (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (* (* (/ (/ (sqrt t) z) y) x) 1/18) (* (acos (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 1/3) (acos (* (sqrt t) (* 1/18 (/ (/ x y) z)))) (* (sqrt t) (* 1/18 (/ (/ x y) z))) (sqrt t) (* (- (* 1/8 (pow (PI) 3)) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 3)) 1/3) (/ (* (- (* 1/8 (pow (PI) 3)) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 3)) 1/3) (+ (* 1/4 (* (PI) (PI))) (* (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) (+ (* 1/2 (PI)) (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 3)) (* 1/8 (pow (PI) 3)) (* (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) 1/3) (/ (* (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) 1/3) (+ (* 1/2 (PI)) (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))))) (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) (* 1/4 (* (PI) (PI))) (* (/ (/ (sqrt t) z) y) x) (/ (/ (sqrt t) z) y) (/ (/ x y) z) (* 1/18 (/ (/ x y) z)) (pow (PI) 3))
7.0ms	x	@	-inf	((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 1/3) (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (* (* (/ (/ (sqrt t) z) y) x) 1/18) (* (acos (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 1/3) (acos (* (sqrt t) (* 1/18 (/ (/ x y) z)))) (* (sqrt t) (* 1/18 (/ (/ x y) z))) (sqrt t) (* (- (* 1/8 (pow (PI) 3)) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 3)) 1/3) (/ (* (- (* 1/8 (pow (PI) 3)) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 3)) 1/3) (+ (* 1/4 (* (PI) (PI))) (* (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) (+ (* 1/2 (PI)) (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 3)) (* 1/8 (pow (PI) 3)) (* (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) 1/3) (/ (* (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) 1/3) (+ (* 1/2 (PI)) (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))))) (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) (* 1/4 (* (PI) (PI))) (* (/ (/ (sqrt t) z) y) x) (/ (/ (sqrt t) z) y) (/ (/ x y) z) (* 1/18 (/ (/ x y) z)) (pow (PI) 3))

simplify178.0ms (0.6%)

Memory

-1.7MiB live, 228.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	13552
1	182	13256
2	539	13200
3	2119	13200
4	5421	13200
0	8125	12864

Stop Event

1×	iter limit
1×	node limit

Counts

792 → 792

Calls

Call 1

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

Outputs
(.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 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #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 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #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 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #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 (/.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))
(acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))
(acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))
(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 (/.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 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)
(.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 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #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 (/.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))
(acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))
(acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))
(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 (/.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 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)
(sqrt.f64 t)
(sqrt.f64 t)
(sqrt.f64 t)
(sqrt.f64 t)
(fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 3 binary64)) (*.f64 #s(literal 1/24 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 3 binary64)) (*.f64 #s(literal 1/24 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 3 binary64)) (*.f64 #s(literal 1/24 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 3 binary64)) (*.f64 #s(literal 1/24 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))
(/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 3 binary64)) (.f64 #s(literal 1/24 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))) (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
(/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 3 binary64)) (.f64 #s(literal 1/24 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))) (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
(/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 3 binary64)) (.f64 #s(literal 1/24 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))) (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
(/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 3 binary64)) (.f64 #s(literal 1/24 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))) (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
(-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 3 binary64)))
(-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 3 binary64)))
(-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 3 binary64)))
(-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 3 binary64)))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 2 binary64)) (.f64 #s(literal 1/12 binary64) (.f64 (PI.f64) (PI.f64))))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 2 binary64)) (.f64 #s(literal 1/12 binary64) (.f64 (PI.f64) (PI.f64))))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 2 binary64)) (.f64 #s(literal 1/12 binary64) (.f64 (PI.f64) (PI.f64))))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 2 binary64)) (.f64 #s(literal 1/12 binary64) (.f64 (PI.f64) (PI.f64))))
(/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 2 binary64)) (.f64 #s(literal 1/12 binary64) (.f64 (PI.f64) (PI.f64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))))
(/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 2 binary64)) (.f64 #s(literal 1/12 binary64) (.f64 (PI.f64) (PI.f64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))))
(/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 2 binary64)) (.f64 #s(literal 1/12 binary64) (.f64 (PI.f64) (PI.f64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))))
(/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 2 binary64)) (.f64 #s(literal 1/12 binary64) (.f64 (PI.f64) (PI.f64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))))
(-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 2 binary64)))
(-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 2 binary64)))
(-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 2 binary64)))
(-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 2 binary64)))
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)
(/.f64 (/.f64 (sqrt.f64 t) z) y)
(/.f64 (/.f64 (sqrt.f64 t) z) y)
(/.f64 (/.f64 (sqrt.f64 t) z) y)
(/.f64 (/.f64 (sqrt.f64 t) z) y)
(.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 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #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 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #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 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #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 (/.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))
(acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))
(acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))
(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 (/.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)
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(.f64 (acos.f64 (.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 1/3 binary64))
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(.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))
(acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))
(acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))
(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 (/.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 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)
(sqrt.f64 t)
(sqrt.f64 t)
(sqrt.f64 t)
(sqrt.f64 t)
(fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 3 binary64)) (*.f64 #s(literal 1/24 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 3 binary64)) (*.f64 #s(literal 1/24 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 3 binary64)) (*.f64 #s(literal 1/24 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 3 binary64)) (*.f64 #s(literal 1/24 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))
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(.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))
(.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))
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(.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)
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(.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)
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(.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))
(acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))
(acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))
(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 (/.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 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)
(fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 3 binary64)) (*.f64 #s(literal 1/24 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 3 binary64)) (*.f64 #s(literal 1/24 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 3 binary64)) (*.f64 #s(literal 1/24 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 3 binary64)) (*.f64 #s(literal 1/24 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))
(/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 3 binary64)) (.f64 #s(literal 1/24 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))) (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
(/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 3 binary64)) (.f64 #s(literal 1/24 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))) (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
(/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 3 binary64)) (.f64 #s(literal 1/24 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))) (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
(/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 3 binary64)) (.f64 #s(literal 1/24 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))) (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
(-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 3 binary64)))
(-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 3 binary64)))
(-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 3 binary64)))
(-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 3 binary64)))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 2 binary64)) (.f64 #s(literal 1/12 binary64) (.f64 (PI.f64) (PI.f64))))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 2 binary64)) (.f64 #s(literal 1/12 binary64) (.f64 (PI.f64) (PI.f64))))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 2 binary64)) (.f64 #s(literal 1/12 binary64) (.f64 (PI.f64) (PI.f64))))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 2 binary64)) (.f64 #s(literal 1/12 binary64) (.f64 (PI.f64) (PI.f64))))
(/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 2 binary64)) (.f64 #s(literal 1/12 binary64) (.f64 (PI.f64) (PI.f64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))))
(/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 2 binary64)) (.f64 #s(literal 1/12 binary64) (.f64 (PI.f64) (PI.f64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))))
(/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 2 binary64)) (.f64 #s(literal 1/12 binary64) (.f64 (PI.f64) (PI.f64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))))
(/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 2 binary64)) (.f64 #s(literal 1/12 binary64) (.f64 (PI.f64) (PI.f64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))))
(-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 2 binary64)))
(-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 2 binary64)))
(-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 2 binary64)))
(-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 2 binary64)))
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)
(/.f64 x (*.f64 z y))
(/.f64 x (*.f64 z y))
(/.f64 x (*.f64 z y))
(/.f64 x (*.f64 z y))
(.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))
(.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))
(.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))
(.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))

rewrite8.0s (27.7%)

Memory

-7.9MiB live, 398.5MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	54	309
0	85	246
1	280	244
2	1945	242
0	8349	242

Stop Event

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

Counts

21 → 1 372

Calls

Call 1

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

Outputs
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eval1.1s (4%)

Memory: -85.6MiB live, 1 594.4MiB allocated
Compiler: Compiled 224 420 to 10 283 computations (95.4% saved)

prune163.0ms (0.6%)

Memory

14.8MiB live, 411.7MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	4 579	4	4 583
Fresh	0	0	0
Picked	4	0	4
Done	0	0	0
Total	4 583	4	4 587

Accuracy

100.0%

Counts

4 587 → 4

Alt Table

Click to see full alt table

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

Compiler

Compiled 66 to 64 computations (3% saved)

simplify12.0ms (0%)

Memory

24.6MiB live, 24.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))
cost-diff	0	(pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal -1 binary64))
cost-diff	6080	(.f64 (pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal -1 binary64)) #s(literal 3 binary64))
cost-diff	6848	(pow.f64 (.f64 (pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64))
cost-diff	0	(acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))
cost-diff	0	(pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal -1 binary64))
cost-diff	1088	(/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal -1 binary64)) #s(literal 3 binary64)))
cost-diff	6080	(.f64 (pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal -1 binary64)) #s(literal 3 binary64))
cost-diff	0	(sqrt.f64 t)
cost-diff	0	(.f64 (sqrt.f64 t) (/.f64 (.f64 #s(literal 1/18 binary64) x) (*.f64 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))
cost-diff	0	(log.f64 (.f64 (pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal -1 binary64)) #s(literal 3 binary64)))
cost-diff	192	(.f64 (log.f64 (.f64 (pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal -1 binary64)) #s(literal 3 binary64))) #s(literal -1 binary64))
cost-diff	6080	(.f64 (pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal -1 binary64)) #s(literal 3 binary64))
cost-diff	13312	(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal -1 binary64)) #s(literal 3 binary64))) #s(literal -1 binary64)))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	371
0	47	373
1	77	346
2	152	346
3	272	346
4	313	346
5	318	346
6	320	346
7	326	346
8	331	346
0	331	346

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize146.0ms (0.5%)

Memory

-15.7MiB live, 230.5MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.2109375	(/.f64 (sqrt.f64 t) z)
accuracy	0.31869125976844204	(.f64 #s(literal 1/18 binary64) (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))
accuracy	1.6570754564357086	(/.f64 (/.f64 (sqrt.f64 t) z) y)
accuracy	4.401434370690517	(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)
accuracy	0.31869125976844204	(.f64 #s(literal 1/18 binary64) (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))
accuracy	0.97265625	(/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal -1 binary64)) #s(literal 3 binary64)))
accuracy	1.6570754564357086	(/.f64 (/.f64 (sqrt.f64 t) z) y)
accuracy	4.401434370690517	(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)
accuracy	0.3203125	(*.f64 #s(literal 1/18 binary64) x)
accuracy	0.97265625	(.f64 (acos.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 z y)))) #s(literal 1/3 binary64))
accuracy	3.6463945407424294	(.f64 (sqrt.f64 t) (/.f64 (.f64 #s(literal 1/18 binary64) x) (*.f64 z y)))
accuracy	4.558904575878566	(/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 z y))
accuracy	0.2109375	(/.f64 (sqrt.f64 t) z)
accuracy	0.31869125976844204	(.f64 #s(literal 1/18 binary64) (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))
accuracy	1.6570754564357086	(/.f64 (/.f64 (sqrt.f64 t) z) y)
accuracy	4.401434370690517	(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)

Samples

80.0ms

256×

valid

Compiler

Compiled 744 to 58 computations (92.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 57.0ms

ival-mult: 20.0ms (35.3% of total)

const: 13.0ms (22.9% of total)

ival-div: 7.0ms (12.3% of total)

ival-pow: 5.0ms (8.8% of total)

ival-acos: 4.0ms (7.1% of total)

ival-exp: 3.0ms (5.3% of total)

ival-log: 3.0ms (5.3% of total)

ival-sqrt: 2.0ms (3.5% of total)

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

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

exact: 0.0ms (0% of total)

series542.0ms (1.9%)

Memory

28.5MiB live, 568.9MiB allocated

Counts

18 → 744

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
114.0ms	y	@	-inf	((exp (* (log (* (pow (acos (* 1/18 (* (/ (/ (sqrt t) z) y) x))) -1) 3)) -1)) (* (pow (acos (* 1/18 (* (/ (/ (sqrt t) z) y) x))) -1) 3) (* (log (* (pow (acos (* 1/18 (* (/ (/ (sqrt t) z) y) x))) -1) 3)) -1) (log (* (pow (acos (* 1/18 (* (/ (/ (sqrt t) z) y) x))) -1) 3)) (* (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) (/ 1 (* (pow (acos (* 1/18 (* (/ (/ (sqrt t) z) y) x))) -1) 3)) (pow (acos (* 1/18 (* (/ (/ (sqrt t) z) y) x))) -1) (acos (* 1/18 (* (/ (/ (sqrt t) z) y) x))) (pow (* (pow (acos (* 1/18 (* (/ (/ (sqrt t) z) y) x))) -1) 3) -1) (* (/ (/ (sqrt t) z) y) x) (/ (/ (sqrt t) z) y) (* 1/18 (* (/ (/ (sqrt t) z) y) x)) (/ (sqrt t) z) (/ (* 1/18 x) (* z y)) (* 1/18 x))
91.0ms	t	@	0	((exp (* (log (* (pow (acos (* 1/18 (* (/ (/ (sqrt t) z) y) x))) -1) 3)) -1)) (* (pow (acos (* 1/18 (* (/ (/ (sqrt t) z) y) x))) -1) 3) (* (log (* (pow (acos (* 1/18 (* (/ (/ (sqrt t) z) y) x))) -1) 3)) -1) (log (* (pow (acos (* 1/18 (* (/ (/ (sqrt t) z) y) x))) -1) 3)) (* (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) (/ 1 (* (pow (acos (* 1/18 (* (/ (/ (sqrt t) z) y) x))) -1) 3)) (pow (acos (* 1/18 (* (/ (/ (sqrt t) z) y) x))) -1) (acos (* 1/18 (* (/ (/ (sqrt t) z) y) x))) (pow (* (pow (acos (* 1/18 (* (/ (/ (sqrt t) z) y) x))) -1) 3) -1) (* (/ (/ (sqrt t) z) y) x) (/ (/ (sqrt t) z) y) (* 1/18 (* (/ (/ (sqrt t) z) y) x)) (/ (sqrt t) z) (/ (* 1/18 x) (* z y)) (* 1/18 x))
58.0ms	t	@	-inf	((exp (* (log (* (pow (acos (* 1/18 (* (/ (/ (sqrt t) z) y) x))) -1) 3)) -1)) (* (pow (acos (* 1/18 (* (/ (/ (sqrt t) z) y) x))) -1) 3) (* (log (* (pow (acos (* 1/18 (* (/ (/ (sqrt t) z) y) x))) -1) 3)) -1) (log (* (pow (acos (* 1/18 (* (/ (/ (sqrt t) z) y) x))) -1) 3)) (* (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) (/ 1 (* (pow (acos (* 1/18 (* (/ (/ (sqrt t) z) y) x))) -1) 3)) (pow (acos (* 1/18 (* (/ (/ (sqrt t) z) y) x))) -1) (acos (* 1/18 (* (/ (/ (sqrt t) z) y) x))) (pow (* (pow (acos (* 1/18 (* (/ (/ (sqrt t) z) y) x))) -1) 3) -1) (* (/ (/ (sqrt t) z) y) x) (/ (/ (sqrt t) z) y) (* 1/18 (* (/ (/ (sqrt t) z) y) x)) (/ (sqrt t) z) (/ (* 1/18 x) (* z y)) (* 1/18 x))
46.0ms	y	@	inf	((exp (* (log (* (pow (acos (* 1/18 (* (/ (/ (sqrt t) z) y) x))) -1) 3)) -1)) (* (pow (acos (* 1/18 (* (/ (/ (sqrt t) z) y) x))) -1) 3) (* (log (* (pow (acos (* 1/18 (* (/ (/ (sqrt t) z) y) x))) -1) 3)) -1) (log (* (pow (acos (* 1/18 (* (/ (/ (sqrt t) z) y) x))) -1) 3)) (* (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) (/ 1 (* (pow (acos (* 1/18 (* (/ (/ (sqrt t) z) y) x))) -1) 3)) (pow (acos (* 1/18 (* (/ (/ (sqrt t) z) y) x))) -1) (acos (* 1/18 (* (/ (/ (sqrt t) z) y) x))) (pow (* (pow (acos (* 1/18 (* (/ (/ (sqrt t) z) y) x))) -1) 3) -1) (* (/ (/ (sqrt t) z) y) x) (/ (/ (sqrt t) z) y) (* 1/18 (* (/ (/ (sqrt t) z) y) x)) (/ (sqrt t) z) (/ (* 1/18 x) (* z y)) (* 1/18 x))
27.0ms	z	@	-inf	((exp (* (log (* (pow (acos (* 1/18 (* (/ (/ (sqrt t) z) y) x))) -1) 3)) -1)) (* (pow (acos (* 1/18 (* (/ (/ (sqrt t) z) y) x))) -1) 3) (* (log (* (pow (acos (* 1/18 (* (/ (/ (sqrt t) z) y) x))) -1) 3)) -1) (log (* (pow (acos (* 1/18 (* (/ (/ (sqrt t) z) y) x))) -1) 3)) (* (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) (/ 1 (* (pow (acos (* 1/18 (* (/ (/ (sqrt t) z) y) x))) -1) 3)) (pow (acos (* 1/18 (* (/ (/ (sqrt t) z) y) x))) -1) (acos (* 1/18 (* (/ (/ (sqrt t) z) y) x))) (pow (* (pow (acos (* 1/18 (* (/ (/ (sqrt t) z) y) x))) -1) 3) -1) (* (/ (/ (sqrt t) z) y) x) (/ (/ (sqrt t) z) y) (* 1/18 (* (/ (/ (sqrt t) z) y) x)) (/ (sqrt t) z) (/ (* 1/18 x) (* z y)) (* 1/18 x))

simplify1.8s (6.4%)

Memory

-23.2MiB live, 222.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	50	8480
1	111	8200
2	371	8160
3	1687	8160
4	4896	8160
5	6227	8160
6	7689	8160
0	8019	8160

Stop Event

1×	iter limit
1×	node limit

Counts

744 → 744

Calls

Call 1

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

rewrite215.0ms (0.7%)

Memory

1.8MiB live, 440.7MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	28	200
0	47	202
1	128	179
2	599	178
3	4151	178
0	9329	178

Stop Event

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

Counts

18 → 1 305

Calls

Call 1

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

Outputs
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eval577.0ms (2%)

Memory: 36.3MiB live, 978.4MiB allocated
Compiler: Compiled 93 920 to 6 735 computations (92.8% saved)

prune78.0ms (0.3%)

Memory

0.3MiB live, 236.5MiB allocated

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	3 745	3	3 748
Fresh	0	0	0
Picked	3	1	4
Done	0	0	0
Total	3 748	4	3 752

Accuracy

100.0%

Counts

3 752 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.8%	(pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (.f64 (.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64)))) #s(literal -1 binary64))
▶	97.2%	(pow.f64 #s(approx (* (pow (acos (* 1/18 (* (/ (/ (sqrt t) z) y) x))) -1) 3) (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (/.f64 (.f64 (.f64 (sqrt.f64 t) x) #s(literal -1/18 binary64)) y) z)))) #s(literal -1 binary64))
▶	97.3%	(/.f64 (acos.f64 (.f64 (.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 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 72 to 68 computations (5.6% saved)

simplify14.0ms (0%)

Memory

-24.5MiB live, 14.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	257
0	49	255
1	75	251
2	146	251
3	296	251
4	462	251
5	520	251
6	525	251
7	528	251
0	528	251

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize90.0ms (0.3%)

Memory

6.6MiB live, 147.6MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.2109375	(/.f64 (sqrt.f64 t) z)
accuracy	0.31869125976844204	(.f64 (.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))
accuracy	1.6570754564357086	(/.f64 (/.f64 (sqrt.f64 t) z) y)
accuracy	4.401434370690517	(*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y))
accuracy	0.36232377930532605	(.f64 (.f64 (sqrt.f64 t) x) #s(literal -1/18 binary64))
accuracy	1.0500839312018266	#s(approx (* (pow (acos (* 1/18 (* (/ (/ (sqrt t) z) y) x))) -1) 3) (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (/.f64 (.f64 (.f64 (sqrt.f64 t) x) #s(literal -1/18 binary64)) y) z))))
accuracy	2.925110722047145	(/.f64 (.f64 (.f64 (sqrt.f64 t) x) #s(literal -1/18 binary64)) y)
accuracy	5.417563475440165	(/.f64 (/.f64 (.f64 (.f64 (sqrt.f64 t) x) #s(literal -1/18 binary64)) y) z)
accuracy	0.31869125976844204	(.f64 (.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))
accuracy	0.9609375	(/.f64 (acos.f64 (.f64 (.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 3 binary64))
accuracy	1.6570754564357086	(/.f64 (/.f64 (sqrt.f64 t) z) y)
accuracy	4.401434370690517	(*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y))

Samples

70.0ms

256×

valid

Compiler

Compiled 488 to 67 computations (86.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-div: 11.0ms (25.5% of total)

ival-mult: 10.0ms (23.2% of total)

const: 7.0ms (16.3% of total)

ival-pow: 7.0ms (16.3% of total)

ival-acos: 6.0ms (13.9% of total)

ival-sqrt: 2.0ms (4.6% of total)

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

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

exact: 0.0ms (0% of total)

series104.0ms (0.4%)

Memory

-17.4MiB live, 103.1MiB allocated

Counts

15 → 648

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
13.0ms	y	@	-inf	((/ (acos (* (* x (/ (/ (sqrt t) z) y)) 1/18)) 3) (acos (* (* x (/ (/ (sqrt t) z) y)) 1/18)) (* (* x (/ (/ (sqrt t) z) y)) 1/18) (* x (/ (/ (sqrt t) z) y)) (pow (* (pow (acos (* 1/18 (* (/ (/ (sqrt t) z) y) x))) -1) 3) -1) (* (pow (acos (* 1/18 (* (/ (/ (sqrt t) z) y) x))) -1) 3) (/ 3 (acos (/ (/ (* (* (sqrt t) x) -1/18) y) z))) (acos (/ (/ (* (* (sqrt t) x) -1/18) y) z)) (pow (/ 3 (acos (* (* x (/ (/ (sqrt t) z) y)) 1/18))) -1) (/ 3 (acos (* (* x (/ (/ (sqrt t) z) y)) 1/18))) (/ (/ (sqrt t) z) y) (/ (/ (* (* (sqrt t) x) -1/18) y) z) (/ (* (* (sqrt t) x) -1/18) y) (* (* (sqrt t) x) -1/18) (/ (sqrt t) z))
6.0ms	t	@	0	((/ (acos (* (* x (/ (/ (sqrt t) z) y)) 1/18)) 3) (acos (* (* x (/ (/ (sqrt t) z) y)) 1/18)) (* (* x (/ (/ (sqrt t) z) y)) 1/18) (* x (/ (/ (sqrt t) z) y)) (pow (* (pow (acos (* 1/18 (* (/ (/ (sqrt t) z) y) x))) -1) 3) -1) (* (pow (acos (* 1/18 (* (/ (/ (sqrt t) z) y) x))) -1) 3) (/ 3 (acos (/ (/ (* (* (sqrt t) x) -1/18) y) z))) (acos (/ (/ (* (* (sqrt t) x) -1/18) y) z)) (pow (/ 3 (acos (* (* x (/ (/ (sqrt t) z) y)) 1/18))) -1) (/ 3 (acos (* (* x (/ (/ (sqrt t) z) y)) 1/18))) (/ (/ (sqrt t) z) y) (/ (/ (* (* (sqrt t) x) -1/18) y) z) (/ (* (* (sqrt t) x) -1/18) y) (* (* (sqrt t) x) -1/18) (/ (sqrt t) z))
5.0ms	t	@	-inf	((/ (acos (* (* x (/ (/ (sqrt t) z) y)) 1/18)) 3) (acos (* (* x (/ (/ (sqrt t) z) y)) 1/18)) (* (* x (/ (/ (sqrt t) z) y)) 1/18) (* x (/ (/ (sqrt t) z) y)) (pow (* (pow (acos (* 1/18 (* (/ (/ (sqrt t) z) y) x))) -1) 3) -1) (* (pow (acos (* 1/18 (* (/ (/ (sqrt t) z) y) x))) -1) 3) (/ 3 (acos (/ (/ (* (* (sqrt t) x) -1/18) y) z))) (acos (/ (/ (* (* (sqrt t) x) -1/18) y) z)) (pow (/ 3 (acos (* (* x (/ (/ (sqrt t) z) y)) 1/18))) -1) (/ 3 (acos (* (* x (/ (/ (sqrt t) z) y)) 1/18))) (/ (/ (sqrt t) z) y) (/ (/ (* (* (sqrt t) x) -1/18) y) z) (/ (* (* (sqrt t) x) -1/18) y) (* (* (sqrt t) x) -1/18) (/ (sqrt t) z))
4.0ms	t	@	inf	((/ (acos (* (* x (/ (/ (sqrt t) z) y)) 1/18)) 3) (acos (* (* x (/ (/ (sqrt t) z) y)) 1/18)) (* (* x (/ (/ (sqrt t) z) y)) 1/18) (* x (/ (/ (sqrt t) z) y)) (pow (* (pow (acos (* 1/18 (* (/ (/ (sqrt t) z) y) x))) -1) 3) -1) (* (pow (acos (* 1/18 (* (/ (/ (sqrt t) z) y) x))) -1) 3) (/ 3 (acos (/ (/ (* (* (sqrt t) x) -1/18) y) z))) (acos (/ (/ (* (* (sqrt t) x) -1/18) y) z)) (pow (/ 3 (acos (* (* x (/ (/ (sqrt t) z) y)) 1/18))) -1) (/ 3 (acos (* (* x (/ (/ (sqrt t) z) y)) 1/18))) (/ (/ (sqrt t) z) y) (/ (/ (* (* (sqrt t) x) -1/18) y) z) (/ (* (* (sqrt t) x) -1/18) y) (* (* (sqrt t) x) -1/18) (/ (sqrt t) z))
3.0ms	x	@	-inf	((/ (acos (* (* x (/ (/ (sqrt t) z) y)) 1/18)) 3) (acos (* (* x (/ (/ (sqrt t) z) y)) 1/18)) (* (* x (/ (/ (sqrt t) z) y)) 1/18) (* x (/ (/ (sqrt t) z) y)) (pow (* (pow (acos (* 1/18 (* (/ (/ (sqrt t) z) y) x))) -1) 3) -1) (* (pow (acos (* 1/18 (* (/ (/ (sqrt t) z) y) x))) -1) 3) (/ 3 (acos (/ (/ (* (* (sqrt t) x) -1/18) y) z))) (acos (/ (/ (* (* (sqrt t) x) -1/18) y) z)) (pow (/ 3 (acos (* (* x (/ (/ (sqrt t) z) y)) 1/18))) -1) (/ 3 (acos (* (* x (/ (/ (sqrt t) z) y)) 1/18))) (/ (/ (sqrt t) z) y) (/ (/ (* (* (sqrt t) x) -1/18) y) z) (/ (* (* (sqrt t) x) -1/18) y) (* (* (sqrt t) x) -1/18) (/ (sqrt t) z))

simplify160.0ms (0.6%)

Memory

22.4MiB live, 140.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	55	7068
1	120	6888
2	403	6888
3	1576	6888
4	4054	6888
5	5819	6888
0	8133	6888

Stop Event

1×	iter limit
1×	node limit

Counts

648 → 648

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

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

rewrite348.0ms (1.2%)

Memory

-14.8MiB live, 179.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	188
0	49	182
1	146	182
2	655	182
3	4609	182
0	11353	182

Stop Event

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

Counts

15 → 1 118

Calls

Call 1

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

Outputs
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eval803.0ms (2.8%)

Memory: 11.8MiB live, 395.2MiB allocated
Compiler: Compiled 84 313 to 5 567 computations (93.4% saved)

prune2.0s (7%)

Memory

4.3MiB live, 288.4MiB allocated

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	2 379	2	2 381
Fresh	0	0	0
Picked	3	0	3
Done	0	1	1
Total	2 382	3	2 385

Accuracy

100.0%

Counts

2 385 → 3

Alt Table

Click to see full alt table

Status

Accuracy

Program

100.0%

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

97.3%

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

Compiler

Compiled 348 to 159 computations (54.3% saved)

regimes2.1s (7.2%)

Memory

-7.3MiB live, 32.3MiB allocated

Counts

14 → 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))
#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 (sqrt.f64 t) x) #s(literal 1/18 binary64)) (*.f64 y z))) #s(literal 3 binary64))
(/.f64 (acos.f64 (.f64 (.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 3 binary64))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (.f64 (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))) #s(literal 1/18 binary64)))) #s(literal -1 binary64))
(pow.f64 #s(approx (* (pow (acos (* 1/18 (* (/ (/ (sqrt t) z) y) x))) -1) 3) (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (/.f64 (.f64 (.f64 (sqrt.f64 t) x) #s(literal -1/18 binary64)) y) z)))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (.f64 (.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64)))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal -1 binary64)) #s(literal 3 binary64)))
(pow.f64 (.f64 (pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #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))))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal -1 binary64)) #s(literal 3 binary64))) #s(literal -1 binary64)))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64)) (.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 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))))))

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

Calls

13 calls:

2.0s	(.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))))
5.0ms	(*.f64 y #s(literal 27 binary64))
5.0ms	(sqrt.f64 t)
5.0ms	(*.f64 z #s(literal 2 binary64))
5.0ms	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)

regimes33.0ms (0.1%)

Memory

23.5MiB live, 23.5MiB allocated

Accuracy

Total -1.7b remaining (-177.1%)

Threshold costs -1.7b (-177.1%)

Counts

6 → 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))
#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 (sqrt.f64 t) x) #s(literal 1/18 binary64)) (*.f64 y z))) #s(literal 3 binary64))
(/.f64 (acos.f64 (.f64 (.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 3 binary64))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))

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

Calls

13 calls:

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

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)

simplify882.0ms (3.1%)

Memory

-33.2MiB live, 23.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	28
1	28	28

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

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

soundness923.0ms (3.2%)

Memory

-8.5MiB live, 501.0MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	54	309
0	85	246
1	280	244
2	1945	242
0	8349	242
0	28	200
0	47	202
1	128	179
2	599	178
3	4151	178
0	9329	178
0	33	188
0	49	182
1	146	182
2	655	182
3	4609	182
0	11353	182
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 196 to 119 computations (39.3% saved)

preprocess47.0ms (0.2%)

Memory: 39.8MiB live, 116.3MiB allocated
Remove: (sort y z)
Compiler: Compiled 218 to 200 computations (8.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	28	371
0	47	373
1	77	346
2	152	346
3	272	346
4	313	346
5	318	346
6	320	346
7	326	346
8	331	346
0	331	346

Iter	Nodes	Cost
0	33	257
0	49	255
1	75	251
2	146	251
3	296	251
4	462	251
5	520	251
6	525	251
7	528	251
0	528	251

Iter	Nodes	Cost
0	28	371
0	47	373
1	77	346
2	152	346
3	272	346
4	313	346
5	318	346
6	320	346
7	326	346
8	331	346
0	331	346

Iter	Nodes	Cost
0	33	257
0	49	255
1	75	251
2	146	251
3	296	251
4	462	251
5	520	251
6	525	251
7	528	251
0	528	251

start0.0ms (0%)

analyze373.0ms (1.3%)

sample6.0s (21%)

explain211.0ms (0.7%)

preprocess136.0ms (0.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify86.0ms (0.3%)

localize51.0ms (0.2%)

series46.0ms (0.2%)

simplify240.0ms (0.8%)

rewrite172.0ms (0.6%)

eval191.0ms (0.7%)

prune102.0ms (0.4%)

simplify369.0ms (1.3%)

localize219.0ms (0.8%)

series205.0ms (0.7%)

simplify178.0ms (0.6%)

rewrite8.0s (27.7%)

eval1.1s (4%)

prune163.0ms (0.6%)

simplify12.0ms (0%)

localize146.0ms (0.5%)

series542.0ms (1.9%)

simplify1.8s (6.4%)

rewrite215.0ms (0.7%)

eval577.0ms (2%)

prune78.0ms (0.3%)

simplify14.0ms (0%)

localize90.0ms (0.3%)

series104.0ms (0.4%)

simplify160.0ms (0.6%)

rewrite348.0ms (1.2%)

eval803.0ms (2.8%)

prune2.0s (7%)

regimes2.1s (7.2%)

regimes33.0ms (0.1%)

simplify882.0ms (3.1%)

soundness923.0ms (3.2%)

preprocess47.0ms (0.2%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	28	371
0	47	373
1	77	346
2	152	346
3	272	346
4	313	346
5	318	346
6	320	346
7	326	346
8	331	346
0	331	346

Iter	Nodes	Cost
0	33	257
0	49	255
1	75	251
2	146	251
3	296	251
4	462	251
5	520	251
6	525	251
7	528	251
0	528	251