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

analyze362.0ms (1%)

Memory

19.1MiB live, 601.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 21 to 20 computations (4.8% saved)

sample5.5s (15.1%)

Memory

-75.2MiB live, 6 382.1MiB allocated

Samples

2.5s	15 146×	0	invalid
1.5s	8 256×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 2.5s

ival-mult: 839.0ms (34.1% of total)

ival-div: 765.0ms (31.1% of total)

ival-sqrt: 570.0ms (23.2% of total)

ival-acos: 213.0ms (8.7% of total)

exact: 44.0ms (1.8% of total)

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

ival-assert: 9.0ms (0.4% of total)

Bogosity

preprocess144.0ms (0.4%)

Memory

27.1MiB live, 137.6MiB allocated

Algorithm

1×	egg-herbie

Rules

2 044×	`-lowering-.f32`
2 044×	`-lowering-.f64`
1 530×	`unsub-neg`
1 430×	`associate-*r/`
1 168×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	89	246
1	275	212
2	967	184
3	3633	184
4	4322	184
5	5222	184
6	6504	184
0	19	17
1	39	15
2	117	13
3	392	13
4	1386	13
5	3148	13
6	3240	13
7	3290	13
8	3290	13
9	3290	13
10	3913	13
11	3952	13
12	3952	13
0	3952	13

Stop Event

1×	iter limit
1×	saturated
1×	node limit

Calls

Call 1

Inputs
(* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))))

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

Symmetry

(sort y z)

explain283.0ms (0.8%)

Memory

-6.9MiB live, 410.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
25	-	3	(1.3357013638971006e-55 -7.499089673967032e+266 -6.718775240368472e-131 1.483118279268082e+244)	`(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))`
14	-	1	(-1.6070552212575198e-121 -1.964955702176979e+69 6.4488334079214986e+119 5.945543991997392e+276)	`(.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	66
↳	`(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))`	underflow	66
`*.f64`	`(.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t))`	*nu**	13	0
`/.f64`	`(/.f64 x (*.f64 y #s(literal 27 binary64)))`	n/o	2	0
↳	`(*.f64 y #s(literal 27 binary64))`	overflow	4

Confusion

	Predicted +	Predicted -
+	1	0
-	36	219

Precision

0.02702702702702703

Recall

1.0

Confusion?

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

Precision?

0.02702702702702703

Recall?

1.0

Freqs

test

number	freq
0	219
1	37

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

101.0ms

512×

valid

Compiler

Compiled 230 to 76 computations (67% saved)

Precisions

Click to see histograms. Total time spent on operations: 77.0ms

ival-mult: 56.0ms (72.4% of total)

ival-div: 11.0ms (14.2% of total)

ival-sqrt: 4.0ms (5.2% of total)

ival-acos: 4.0ms (5.2% of total)

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

exact: 1.0ms (1.3% of total)

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

eval0.0ms (0%)

Memory: 0.6MiB live, 0.6MiB allocated
Compiler: Compiled 4 to 4 computations (0% saved)

prune1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.4%	(.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

▶

98.4%

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

Compiler

Compiled 23 to 18 computations (21.7% saved)

simplify93.0ms (0.3%)

Memory

14.3MiB live, 129.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
✓	cost-diff	320	(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))
✓	cost-diff	704	(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))

Rules

2 044×	`-lowering-.f32`
2 044×	`-lowering-.f64`
1 430×	`associate-*r/`
1 168×	`associate-r`
1 118×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	86
1	39	76
2	117	68
3	392	68
4	1386	68
5	3148	68
6	3240	68
7	3290	68
8	3290	68
9	3290	68
10	3913	68
11	3952	68
12	3952	68
0	3952	68

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))))
(/ 1 3)
1
3
(acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))
(* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))
(/ (* 3 (/ x (* y 27))) (* z 2))
(* 3 (/ x (* y 27)))
(/ x (* y 27))
x
(* y 27)
y
27
(* z 2)
z
2
(sqrt t)
t

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

localize58.0ms (0.2%)

Memory

-5.1MiB live, 147.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.0%	(/.f64 x (*.f64 y #s(literal 27 binary64)))
✓	accuracy	98.5%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
✓	accuracy	95.0%	(.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	91.1%	(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))

Samples

34.0ms

256×

valid

Compiler

Compiled 92 to 20 computations (78.3% saved)

Precisions

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

ival-mult: 7.0ms (41.4% of total)

ival-div: 5.0ms (29.6% 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)

series29.0ms (0.1%)

Memory

38.3MiB live, 75.2MiB allocated

Counts

6 → 180

Calls

Call 1

Inputs
#<alt (/ 1 3)>
#<alt (/ (* 3 (/ x (* y 27))) (* z 2))>
#<alt (* 3 (/ x (* y 27)))>
#<alt (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))))>
#<alt (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))>
#<alt (/ x (* y 27))>

Outputs
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>

Calls

45 calls:

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

rewrite647.0ms (1.8%)

Memory

-106.0MiB live, 527.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 832×	`-lowering-.f32`
5 832×	`-lowering-.f64`
3 672×	`/-lowering-/.f32`
3 672×	`/-lowering-/.f64`
1 650×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	55
1	59	47
2	377	41
3	3741	41
0	8207	41

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 588

Calls

Call 1

Inputs
(/ 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))

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

simplify175.0ms (0.5%)

Memory

24.8MiB live, 383.9MiB allocated

Algorithm

1×	egg-herbie

Rules

4 158×	`-lowering-.f32`
4 158×	`-lowering-.f64`
3 468×	`/-lowering-/.f32`
3 468×	`/-lowering-/.f64`
1 212×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	31	1616
1	66	1604
2	197	1596
3	725	1596
4	2560	1596
5	4452	1596
6	6233	1596
0	8092	1596

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

Calls

Call 1

Inputs
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))

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

eval93.0ms (0.3%)

Memory: 8.2MiB live, 241.7MiB allocated
Compiler: Compiled 14 488 to 3 053 computations (78.9% saved)

prune91.0ms (0.2%)

Memory

-2.8MiB live, 273.3MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

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

Accuracy

98.5%

Counts

769 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.6%	(fma.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1/3 binary64) (.f64 (neg.f64 (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 3 binary64) (sqrt.f64 t))) (.f64 z (.f64 #s(literal 54 binary64) y))))) #s(literal 1/3 binary64)))
▶	98.1%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z))) (sqrt.f64 t))))
▶	97.7%	(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))))
▶	98.4%	(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))

Compiler

Compiled 82 to 65 computations (20.7% saved)

simplify147.0ms (0.4%)

Memory

-44.7MiB live, 140.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 (PI.f64) #s(literal 1/2 binary64))
✓	cost-diff	128	(.f64 (neg.f64 (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 3 binary64) (sqrt.f64 t))) (.f64 z (*.f64 #s(literal 54 binary64) y))))) #s(literal 1/3 binary64))
✓	cost-diff	320	(/.f64 (.f64 x (.f64 #s(literal 3 binary64) (sqrt.f64 t))) (.f64 z (.f64 #s(literal 54 binary64) y)))
✓	cost-diff	320	(fma.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1/3 binary64) (.f64 (neg.f64 (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 3 binary64) (sqrt.f64 t))) (.f64 z (.f64 #s(literal 54 binary64) y))))) #s(literal 1/3 binary64)))
✓	cost-diff	0	(.f64 (.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) (sqrt.f64 t))
✓	cost-diff	0	(acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) (sqrt.f64 t)))
✓	cost-diff	0	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z))) (sqrt.f64 t))))
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
✓	cost-diff	0	(.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t)))
✓	cost-diff	0	(/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z))
✓	cost-diff	0	(acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z)))
✓	cost-diff	0	(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))))
✓	cost-diff	0	(acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
✓	cost-diff	0	(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
✓	cost-diff	320	(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))
✓	cost-diff	704	(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))

Rules

2 284×	`-lowering-.f32`
2 284×	`-lowering-.f64`
1 348×	`times-frac`
1 070×	`associate-r`
982×	`associate-/r*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	336
1	114	300
2	346	276
3	989	276
4	2303	276
5	3451	276
6	3581	276
7	3669	276
8	3776	276
9	3821	276
10	3841	276
11	4023	276
12	4045	276
13	4057	276
14	4057	276
15	4415	276
16	4415	276
0	4415	275

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* 1/3 (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))))
1/3
(acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))
(* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))
(/ (* 3 (/ x (* y 27))) (* z 2))
(* 3 (/ x (* y 27)))
3
(/ x (* y 27))
x
(* y 27)
y
27
(* z 2)
z
2
(sqrt t)
t
(* 1/3 (acos (/ (* 1/18 (* x (sqrt t))) (* y z))))
1/3
(acos (/ (* 1/18 (* x (sqrt t))) (* y z)))
(/ (* 1/18 (* x (sqrt t))) (* y z))
(* 1/18 (* x (sqrt t)))
1/18
(* x (sqrt t))
x
(sqrt t)
t
(* y z)
y
z
(* (/ 1 3) (acos (* (* 1/18 (/ x (* y z))) (sqrt t))))
(/ 1 3)
1
3
(acos (* (* 1/18 (/ x (* y z))) (sqrt t)))
(* (* 1/18 (/ x (* y z))) (sqrt t))
(* 1/18 (/ x (* y z)))
1/18
(/ x (* y z))
x
(* y z)
y
z
(sqrt t)
t
(+ (* (* (PI) 1/2) 1/3) (* (neg (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y))))) 1/3))
(* (PI) 1/2)
(PI)
1/2
1/3
(* (neg (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y))))) 1/3)
(neg (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))))
(asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y))))
(/ (* x (* 3 (sqrt t))) (* z (* 54 y)))
(* x (* 3 (sqrt t)))
x
(* 3 (sqrt t))
3
(sqrt t)
t
(* z (* 54 y))
z
(* 54 y)
54
y

Outputs
(* 1/3 (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))))
1/3
#s(literal 1/3 binary64)
(acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))
(acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))
(* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))
(/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))
(/ (* 3 (/ x (* y 27))) (* z 2))
(/.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 y z))
(* 3 (/ x (* y 27)))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
3
#s(literal 3 binary64)
(/ x (* y 27))
(/.f64 x (*.f64 y #s(literal 27 binary64)))
x
(* y 27)
(*.f64 y #s(literal 27 binary64))
y
27
#s(literal 27 binary64)
(* z 2)
(*.f64 z #s(literal 2 binary64))
z
2
#s(literal 2 binary64)
(sqrt t)
(sqrt.f64 t)
t
(* 1/3 (acos (/ (* 1/18 (* x (sqrt t))) (* y z))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))))
1/3
#s(literal 1/3 binary64)
(acos (/ (* 1/18 (* x (sqrt t))) (* y z)))
(acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))
(/ (* 1/18 (* x (sqrt t))) (* y z))
(/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))
(* 1/18 (* x (sqrt t)))
(.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))
1/18
#s(literal 1/18 binary64)
(* x (sqrt t))
(*.f64 x (sqrt.f64 t))
x
(sqrt t)
(sqrt.f64 t)
t
(* y z)
(*.f64 y z)
y
z
(* (/ 1 3) (acos (* (* 1/18 (/ x (* y z))) (sqrt t))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))))
(/ 1 3)
#s(literal 1/3 binary64)
1
#s(literal 1 binary64)
3
#s(literal 3 binary64)
(acos (* (* 1/18 (/ x (* y z))) (sqrt t)))
(acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))
(* (* 1/18 (/ x (* y z))) (sqrt t))
(/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 y z))
1/18
#s(literal 1/18 binary64)
(/ x (* y z))
(/.f64 x (*.f64 y z))
x
(* y z)
(*.f64 y z)
y
z
(sqrt t)
(sqrt.f64 t)
t
(+ (* (* (PI) 1/2) 1/3) (* (neg (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y))))) 1/3))
(fma.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))) #s(literal -1/3 binary64) (.f64 (PI.f64) #s(literal 1/6 binary64)))
(* (PI) 1/2)
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI)
(PI.f64)
1/2
#s(literal 1/2 binary64)
1/3
#s(literal 1/3 binary64)
(* (neg (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y))))) 1/3)
(.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))) #s(literal -1/3 binary64))
(neg (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))))
(neg.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))))
(asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y))))
(asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))
(/ (* x (* 3 (sqrt t))) (* z (* 54 y)))
(/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))
(* x (* 3 (sqrt t)))
(.f64 #s(literal 3 binary64) (.f64 x (sqrt.f64 t)))
x
(* 3 (sqrt t))
(*.f64 #s(literal 3 binary64) (sqrt.f64 t))
3
#s(literal 3 binary64)
(sqrt t)
(sqrt.f64 t)
t
(* z (* 54 y))
(.f64 z (.f64 y #s(literal 54 binary64)))
z
(* 54 y)
(*.f64 y #s(literal 54 binary64))
54
#s(literal 54 binary64)
y

localize160.0ms (0.4%)

Memory

16.4MiB live, 322.6MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.5%	(*.f64 #s(literal 3 binary64) (sqrt.f64 t))
✓	accuracy	98.5%	(.f64 z (.f64 #s(literal 54 binary64) y))
✓	accuracy	98.5%	(fma.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1/3 binary64) (.f64 (neg.f64 (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 3 binary64) (sqrt.f64 t))) (.f64 z (.f64 #s(literal 54 binary64) y))))) #s(literal 1/3 binary64)))
✓	accuracy	92.9%	(/.f64 (.f64 x (.f64 #s(literal 3 binary64) (sqrt.f64 t))) (.f64 z (.f64 #s(literal 54 binary64) y)))
✓	accuracy	99.6%	(.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))
✓	accuracy	98.5%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z))) (sqrt.f64 t))))
✓	accuracy	95.0%	(.f64 (.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) (sqrt.f64 t))
✓	accuracy	94.2%	(/.f64 x (*.f64 y z))
✓	accuracy	99.7%	(*.f64 x (sqrt.f64 t))
✓	accuracy	99.5%	(.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t)))
✓	accuracy	98.5%	(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))))
✓	accuracy	93.3%	(/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z))
✓	accuracy	99.0%	(/.f64 x (*.f64 y #s(literal 27 binary64)))
✓	accuracy	98.5%	(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
✓	accuracy	95.0%	(.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	91.1%	(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))

Samples

90.0ms

256×

valid

Compiler

Compiled 313 to 47 computations (85% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

ival-mult: 26.0ms (44.6% of total)

ival-div: 12.0ms (20.6% of total)

const: 7.0ms (12% of total)

ival-acos: 6.0ms (10.3% of total)

ival-asin: 2.0ms (3.4% of total)

ival-sqrt: 2.0ms (3.4% of total)

ival-pi: 1.0ms (1.7% of total)

ival-add: 1.0ms (1.7% of total)

exact: 1.0ms (1.7% of total)

ival-neg: 1.0ms (1.7% of total)

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

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

series28.0ms (0.1%)

Memory

16.5MiB live, 54.9MiB allocated

Counts

23 → 816

Calls

Call 1

Inputs
#<alt (/ (* 3 (/ x (* y 27))) (* z 2))>
#<alt (* 3 (/ x (* y 27)))>
#<alt (* 1/3 (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))))>
#<alt (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))>
#<alt (* 1/3 (acos (/ (* 1/18 (* x (sqrt t))) (* y z))))>
#<alt (acos (/ (* 1/18 (* x (sqrt t))) (* y z)))>
#<alt (/ (* 1/18 (* x (sqrt t))) (* y z))>
#<alt (* 1/18 (* x (sqrt t)))>
#<alt (/ 1 3)>
#<alt (* (/ 1 3) (acos (* (* 1/18 (/ x (* y z))) (sqrt t))))>
#<alt (acos (* (* 1/18 (/ x (* y z))) (sqrt t)))>
#<alt (* (* 1/18 (/ x (* y z))) (sqrt t))>
#<alt (+ (* (* (PI) 1/2) 1/3) (* (neg (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y))))) 1/3))>
#<alt (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))>
#<alt (* (neg (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y))))) 1/3)>
#<alt (* (PI) 1/2)>
#<alt (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))>
#<alt (/ x (* y 27))>
#<alt (* x (sqrt t))>
#<alt (/ x (* y z))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* z (* 54 y))>
#<alt (* 3 (sqrt t))>

Outputs
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
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#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* -1 (* (sqrt t) (* x (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt t) (* x (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt t) (* x (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt t) (* x (pow (sqrt -1) 2))))>
#<alt (/ x (* y z))>
#<alt (/ x (* y z))>
#<alt (/ x (* y z))>
#<alt (/ x (* y z))>
#<alt (/ x (* y z))>
#<alt (/ x (* y z))>
#<alt (/ x (* y z))>
#<alt (/ x (* y z))>
#<alt (/ x (* y z))>
#<alt (/ x (* y z))>
#<alt (/ x (* y z))>
#<alt (/ x (* y z))>
#<alt (/ x (* y z))>
#<alt (/ x (* y z))>
#<alt (/ x (* y z))>
#<alt (/ x (* y z))>
#<alt (/ x (* y z))>
#<alt (/ x (* y z))>
#<alt (/ x (* y z))>
#<alt (/ x (* y z))>
#<alt (/ x (* y z))>
#<alt (/ x (* y z))>
#<alt (/ x (* y z))>
#<alt (/ x (* y z))>
#<alt (/ x (* y z))>
#<alt (/ x (* y z))>
#<alt (/ x (* y z))>
#<alt (/ x (* y z))>
#<alt (/ x (* y z))>
#<alt (/ x (* y z))>
#<alt (/ x (* y z))>
#<alt (/ x (* y z))>
#<alt (/ x (* y z))>
#<alt (/ x (* y z))>
#<alt (/ x (* y z))>
#<alt (/ x (* y z))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 54 (* y z))>
#<alt (* 54 (* y z))>
#<alt (* 54 (* y z))>
#<alt (* 54 (* y z))>
#<alt (* 54 (* y z))>
#<alt (* 54 (* y z))>
#<alt (* 54 (* y z))>
#<alt (* 54 (* y z))>
#<alt (* 54 (* y z))>
#<alt (* 54 (* y z))>
#<alt (* 54 (* y z))>
#<alt (* 54 (* y z))>
#<alt (* 54 (* y z))>
#<alt (* 54 (* y z))>
#<alt (* 54 (* y z))>
#<alt (* 54 (* y z))>
#<alt (* 54 (* y z))>
#<alt (* 54 (* y z))>
#<alt (* 54 (* y z))>
#<alt (* 54 (* y z))>
#<alt (* 54 (* y z))>
#<alt (* 54 (* y z))>
#<alt (* 54 (* y z))>
#<alt (* 54 (* y z))>
#<alt (* 3 (sqrt t))>
#<alt (* 3 (sqrt t))>
#<alt (* 3 (sqrt t))>
#<alt (* 3 (sqrt t))>
#<alt (* 3 (sqrt t))>
#<alt (* 3 (sqrt t))>
#<alt (* 3 (sqrt t))>
#<alt (* 3 (sqrt t))>
#<alt (* -3 (* (sqrt t) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (sqrt t) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (sqrt t) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (sqrt t) (pow (sqrt -1) 2)))>

Calls

204 calls:

Time	Variable		Point	Expression
2.0ms	t	@	-inf	(* 3 (sqrt t))
1.0ms	x	@	0	(+ (* (* (PI) 1/2) 1/3) (* (neg (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y))))) 1/3))
1.0ms	x	@	inf	(* 1/18 (* x (sqrt t)))
1.0ms	t	@	-inf	(* 1/18 (* x (sqrt t)))
1.0ms	x	@	0	(* 1/18 (* x (sqrt t)))

rewrite841.0ms (2.3%)

Memory

4.9MiB live, 641.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 718×	`-lowering-.f32`
6 718×	`-lowering-.f64`
5 272×	`accelerator-lowering-fma.f32`
5 272×	`accelerator-lowering-fma.f64`
3 850×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	45	231
1	182	208
2	1240	190
0	9162	190

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 2 698

Calls

Call 1

Inputs
(/ (* 3 (/ x (* y 27))) (* z 2))
(* 3 (/ x (* y 27)))
(* 1/3 (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))))
(acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))
(* 1/3 (acos (/ (* 1/18 (* x (sqrt t))) (* y z))))
(acos (/ (* 1/18 (* x (sqrt t))) (* y z)))
(/ (* 1/18 (* x (sqrt t))) (* y z))
(* 1/18 (* x (sqrt t)))
(/ 1 3)
(* (/ 1 3) (acos (* (* 1/18 (/ x (* y z))) (sqrt t))))
(acos (* (* 1/18 (/ x (* y z))) (sqrt t)))
(* (* 1/18 (/ x (* y z))) (sqrt t))
(+ (* (* (PI) 1/2) 1/3) (* (neg (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y))))) 1/3))
(/ (* x (* 3 (sqrt t))) (* z (* 54 y)))
(* (neg (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y))))) 1/3)
(* (PI) 1/2)
(* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))
(/ x (* y 27))
(* x (sqrt t))
(/ x (* y z))
(* 1/18 (/ x (* y z)))
(* z (* 54 y))
(* 3 (sqrt t))

Outputs
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 (*.f64 y z) x) #s(literal 18 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (.f64 #s(literal -1/18 binary64) (/.f64 x (.f64 y z))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 z #s(literal -2 binary64))) (.f64 #s(literal -1/18 binary64) (/.f64 x (*.f64 y z))))
(neg.f64 (.f64 #s(literal -1/18 binary64) (/.f64 x (.f64 y z))))
(neg.f64 (.f64 (/.f64 x (.f64 y (neg.f64 z))) #s(literal 1/18 binary64)))
(neg.f64 (.f64 (.f64 (/.f64 x y) #s(literal -1/27 binary64)) (/.f64 #s(literal 3 binary64) (*.f64 z #s(literal 2 binary64)))))
(neg.f64 (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y (neg.f64 z)))))
(neg.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal -1/18 binary64) (/.f64 x (*.f64 y z)))))
(neg.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 y (neg.f64 z))))
(neg.f64 (/.f64 (/.f64 (.f64 #s(literal 3 binary64) x) (.f64 z (*.f64 y #s(literal 27 binary64)))) #s(literal -2 binary64)))
(neg.f64 (/.f64 (.f64 x #s(literal -1/18 binary64)) (.f64 y z)))
(neg.f64 (/.f64 #s(literal -1 binary64) (.f64 (/.f64 (.f64 y z) x) #s(literal 18 binary64))))
(/.f64 #s(literal 3 binary64) (.f64 (/.f64 (.f64 y z) x) #s(literal 54 binary64)))
(/.f64 #s(literal 3 binary64) (.f64 (/.f64 (.f64 y #s(literal 27 binary64)) x) (*.f64 z #s(literal 2 binary64))))
(/.f64 #s(literal 3 binary64) (.f64 z (/.f64 (.f64 y #s(literal 54 binary64)) x)))
(/.f64 #s(literal 3 binary64) (.f64 (/.f64 (.f64 y #s(literal 54 binary64)) x) z))
(/.f64 x (.f64 (.f64 y #s(literal 18 binary64)) z))
(/.f64 x (.f64 (.f64 z #s(literal 1/3 binary64)) (*.f64 y #s(literal 54 binary64))))
(/.f64 x (.f64 (.f64 y #s(literal 54 binary64)) (*.f64 z #s(literal 1/3 binary64))))
(/.f64 (/.f64 x (.f64 y #s(literal 27 binary64))) (.f64 (*.f64 z #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(/.f64 (.f64 (/.f64 x y) #s(literal 1/9 binary64)) (.f64 z #s(literal 2 binary64)))
(/.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 y z) x))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 y z) x) #s(literal 18 binary64)))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 y x) #s(literal 9 binary64)) (*.f64 z #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 y z) x) #s(literal 1/18 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 (*.f64 x #s(literal 1/18 binary64)) z)))
(/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 (*.f64 x #s(literal 1/18 binary64)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 z #s(literal 2 binary64)) y) #s(literal 27 binary64)) (.f64 #s(literal 3 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 y #s(literal 27 binary64)) (.f64 z #s(literal 2 binary64))) (.f64 #s(literal 3 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 z (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 54 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 y #s(literal 27 binary64)) (/.f64 (.f64 #s(literal 3 binary64) x) (*.f64 z #s(literal 2 binary64)))))
(/.f64 #s(literal 1/2 binary64) (.f64 z (.f64 (/.f64 y x) #s(literal 9 binary64))))
(/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (/.f64 y x) #s(literal 9 binary64)) z))
(/.f64 (.f64 (/.f64 x y) #s(literal -1/9 binary64)) (.f64 z #s(literal -2 binary64)))
(/.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 (*.f64 y #s(literal 54 binary64)) x))
(/.f64 (/.f64 #s(literal 3 binary64) z) (.f64 (/.f64 (.f64 y #s(literal 27 binary64)) x) #s(literal 2 binary64)))
(/.f64 (/.f64 x (.f64 y #s(literal 54 binary64))) (.f64 z #s(literal 1/3 binary64)))
(/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z x))
(/.f64 (/.f64 #s(literal 1/2 binary64) z) (*.f64 (/.f64 y x) #s(literal 9 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (/.f64 (.f64 y z) x) #s(literal 18 binary64))))
(/.f64 #s(literal -1 binary64) (.f64 (.f64 (/.f64 y x) #s(literal 9 binary64)) (*.f64 z #s(literal -2 binary64))))
(/.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 y z))
(/.f64 (.f64 #s(literal 3 binary64) x) (.f64 (*.f64 y z) #s(literal 54 binary64)))
(/.f64 (.f64 #s(literal 3 binary64) x) (.f64 (.f64 y #s(literal 27 binary64)) (.f64 z #s(literal 2 binary64))))
(/.f64 (.f64 #s(literal 3 binary64) x) (.f64 (.f64 (.f64 z #s(literal 2 binary64)) y) #s(literal 27 binary64)))
(/.f64 (.f64 #s(literal 3 binary64) x) (.f64 (.f64 y #s(literal -27 binary64)) (.f64 z #s(literal -2 binary64))))
(/.f64 (/.f64 x y) (.f64 (.f64 z #s(literal 1/3 binary64)) #s(literal 54 binary64)))
(/.f64 (/.f64 (.f64 #s(literal 3 binary64) x) (.f64 z (*.f64 y #s(literal 27 binary64)))) #s(literal 2 binary64))
(/.f64 #s(literal -1/18 binary64) (/.f64 (*.f64 y (neg.f64 z)) x))
(/.f64 #s(literal -3 binary64) (.f64 (/.f64 (.f64 y #s(literal -27 binary64)) x) (*.f64 z #s(literal 2 binary64))))
(/.f64 #s(literal -3 binary64) (.f64 (/.f64 (.f64 y #s(literal 27 binary64)) x) (*.f64 z #s(literal -2 binary64))))
(/.f64 #s(literal -3 binary64) (.f64 (neg.f64 z) (/.f64 (.f64 y #s(literal 54 binary64)) x)))
(/.f64 #s(literal -3 binary64) (.f64 (/.f64 (.f64 y #s(literal 54 binary64)) x) (neg.f64 z)))
(/.f64 #s(literal -3 binary64) (.f64 (.f64 z #s(literal -2 binary64)) (/.f64 (*.f64 y #s(literal 27 binary64)) x)))
(/.f64 (/.f64 (.f64 x #s(literal -3 binary64)) (.f64 z (*.f64 y #s(literal 27 binary64)))) #s(literal -2 binary64))
(/.f64 (.f64 (/.f64 x y) #s(literal -1/27 binary64)) (.f64 (*.f64 z #s(literal 1/3 binary64)) #s(literal -2 binary64)))
(/.f64 (.f64 x #s(literal -1/18 binary64)) (.f64 y (neg.f64 z)))
(/.f64 (.f64 x #s(literal -3 binary64)) (.f64 z (*.f64 y #s(literal -54 binary64))))
(/.f64 (.f64 x #s(literal -3 binary64)) (.f64 (.f64 z #s(literal 2 binary64)) (.f64 y #s(literal -27 binary64))))
(/.f64 (.f64 x #s(literal -3 binary64)) (.f64 (.f64 y #s(literal -27 binary64)) (.f64 z #s(literal 2 binary64))))
(/.f64 (.f64 x #s(literal -3 binary64)) (.f64 (.f64 z #s(literal -2 binary64)) (.f64 y #s(literal 27 binary64))))
(/.f64 (.f64 x #s(literal -3 binary64)) (neg.f64 (.f64 (.f64 y #s(literal 27 binary64)) (.f64 z #s(literal 2 binary64)))))
(/.f64 (/.f64 (.f64 #s(literal 3 binary64) x) z) (.f64 (*.f64 y #s(literal 27 binary64)) #s(literal 2 binary64)))
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(*.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal 1/18 binary64) (neg.f64 y)))
(.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal 1/18 binary64) (.f64 y z)))
(.f64 (/.f64 (.f64 (/.f64 x y) #s(literal -1/27 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) (neg.f64 z)))
(.f64 (/.f64 (.f64 (/.f64 x y) #s(literal -1/27 binary64)) z) #s(literal -3/2 binary64))
(.f64 (/.f64 #s(literal -3 binary64) z) (/.f64 (/.f64 x (.f64 y #s(literal 27 binary64))) #s(literal -2 binary64)))
(.f64 (/.f64 (.f64 (/.f64 x y) #s(literal -1/27 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 3 binary64) (*.f64 z #s(literal 2 binary64))))
(.f64 (/.f64 x (.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 3 binary64) (*.f64 y #s(literal 27 binary64))))
(.f64 (pow.f64 (.f64 (/.f64 (.f64 y z) x) #s(literal 18 binary64)) #s(literal -1/2 binary64)) (pow.f64 (.f64 (/.f64 (*.f64 y z) x) #s(literal 18 binary64)) #s(literal -1/2 binary64)))
(.f64 (.f64 (/.f64 #s(literal 1/18 binary64) y) x) (/.f64 #s(literal 1 binary64) z))
(.f64 (.f64 (/.f64 #s(literal 3 binary64) z) x) (*.f64 (/.f64 #s(literal 1/27 binary64) y) #s(literal 1/2 binary64)))
(.f64 (.f64 (.f64 x #s(literal 1/18 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y z)))
(.f64 (.f64 (/.f64 #s(literal 1/18 binary64) z) x) (/.f64 #s(literal 1 binary64) y))
(.f64 (.f64 #s(literal 3 binary64) (/.f64 x z)) (*.f64 (/.f64 #s(literal 1/27 binary64) y) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 3 binary64) (*.f64 x #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1/27 binary64) y) z))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) #s(literal -1/9 binary64))) (neg.f64 (/.f64 #s(literal 1/2 binary64) z)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (*.f64 y #s(literal 27 binary64))) z)) #s(literal 3/2 binary64))
(.f64 (.f64 (/.f64 x (*.f64 y #s(literal 54 binary64))) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) z))
(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) z) #s(literal 3 binary64)) (/.f64 x (*.f64 y #s(literal 27 binary64))))
(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) z) x) (*.f64 (/.f64 #s(literal 1/27 binary64) y) #s(literal 3 binary64)))
(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 x (*.f64 y #s(literal 27 binary64)))) #s(literal 3 binary64))
(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) z) (*.f64 #s(literal 3 binary64) x)) (/.f64 #s(literal 1/27 binary64) y))
(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 #s(literal 3 binary64) y)) (*.f64 x #s(literal 1/27 binary64)))
(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) z) #s(literal 1/9 binary64)) (/.f64 x y))
(-.f64 #s(literal 0 binary64) (.f64 z (.f64 y #s(literal -54 binary64))))
(neg.f64 (.f64 z (.f64 y #s(literal -54 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y z) #s(literal 54 binary64))))
(/.f64 (.f64 (.f64 y z) #s(literal 54 binary64)) #s(literal 1 binary64))
(/.f64 (.f64 z (.f64 y #s(literal -54 binary64))) #s(literal -1 binary64))
(.f64 y (.f64 z #s(literal 54 binary64)))
(.f64 z (.f64 y #s(literal 54 binary64)))
(.f64 z (neg.f64 (.f64 y #s(literal -54 binary64))))
(.f64 (.f64 y z) #s(literal 54 binary64))
(.f64 #s(literal 1 binary64) (.f64 (*.f64 y z) #s(literal 54 binary64)))
(.f64 #s(literal 54 binary64) (.f64 y z))
(.f64 (.f64 y #s(literal 54 binary64)) z)
(.f64 (.f64 y #s(literal 54 binary64)) (neg.f64 (neg.f64 z)))
(.f64 (.f64 (*.f64 y z) #s(literal 54 binary64)) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (.f64 z (*.f64 y #s(literal -54 binary64))))
(.f64 (.f64 z #s(literal 54 binary64)) y)
(.f64 (.f64 z #s(literal 54 binary64)) (neg.f64 (neg.f64 y)))
(.f64 (.f64 y #s(literal -54 binary64)) (neg.f64 z))
(.f64 (neg.f64 z) (.f64 y #s(literal -54 binary64)))
(.f64 (.f64 z #s(literal -54 binary64)) (neg.f64 y))
(.f64 (neg.f64 (neg.f64 z)) (.f64 y #s(literal 54 binary64)))
(.f64 (neg.f64 (.f64 y #s(literal -54 binary64))) z)
(.f64 (neg.f64 (.f64 z #s(literal -54 binary64))) y)
(*.f64 #s(literal 3 binary64) (sqrt.f64 t))
(*.f64 (sqrt.f64 t) #s(literal 3 binary64))
(.f64 (.f64 #s(literal 3 binary64) (pow.f64 t #s(literal 1/4 binary64))) (pow.f64 t #s(literal 1/4 binary64)))

simplify444.0ms (1.2%)

Memory

9.0MiB live, 566.9MiB allocated

Algorithm

1×	egg-herbie

Rules

4 188×	`-lowering-.f32`
4 188×	`-lowering-.f64`
2 962×	`accelerator-lowering-fma.f32`
2 962×	`accelerator-lowering-fma.f64`
2 680×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	8308
1	110	8180
2	299	8148
3	1039	8148
4	2301	8148
5	4704	8148
6	6025	8148
7	7259	8148
0	8171	8100

Stop Event

1×	iter limit
1×	node limit

Counts

816 → 816

Calls

Call 1

Inputs
(* 1/18 (/ x (* y z)))
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(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* -1 (* (sqrt t) (* x (pow (sqrt -1) 2))))
(* -1 (* (sqrt t) (* x (pow (sqrt -1) 2))))
(* -1 (* (sqrt t) (* x (pow (sqrt -1) 2))))
(* -1 (* (sqrt t) (* x (pow (sqrt -1) 2))))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 54 (* y z))
(* 54 (* y z))
(* 54 (* y z))
(* 54 (* y z))
(* 54 (* y z))
(* 54 (* y z))
(* 54 (* y z))
(* 54 (* y z))
(* 54 (* y z))
(* 54 (* y z))
(* 54 (* y z))
(* 54 (* y z))
(* 54 (* y z))
(* 54 (* y z))
(* 54 (* y z))
(* 54 (* y z))
(* 54 (* y z))
(* 54 (* y z))
(* 54 (* y z))
(* 54 (* y z))
(* 54 (* y z))
(* 54 (* y z))
(* 54 (* y z))
(* 54 (* y z))
(* 3 (sqrt t))
(* 3 (sqrt t))
(* 3 (sqrt t))
(* 3 (sqrt t))
(* 3 (sqrt t))
(* 3 (sqrt t))
(* 3 (sqrt t))
(* 3 (sqrt t))
(* -3 (* (sqrt t) (pow (sqrt -1) 2)))
(* -3 (* (sqrt t) (pow (sqrt -1) 2)))
(* -3 (* (sqrt t) (pow (sqrt -1) 2)))
(* -3 (* (sqrt t) (pow (sqrt -1) 2)))

Outputs
(* 1/18 (/ x (* y z)))
(/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 y z))
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (.f64 y z))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))
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(* 1/18 (/ x (* y z)))
(/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 y z))
(* 54 (* y z))
(.f64 y (.f64 z #s(literal 54 binary64)))
(* 54 (* y z))
(.f64 y (.f64 z #s(literal 54 binary64)))
(* 54 (* y z))
(.f64 y (.f64 z #s(literal 54 binary64)))
(* 54 (* y z))
(.f64 y (.f64 z #s(literal 54 binary64)))
(* 54 (* y z))
(.f64 y (.f64 z #s(literal 54 binary64)))
(* 54 (* y z))
(.f64 y (.f64 z #s(literal 54 binary64)))
(* 54 (* y z))
(.f64 y (.f64 z #s(literal 54 binary64)))
(* 54 (* y z))
(.f64 y (.f64 z #s(literal 54 binary64)))
(* 54 (* y z))
(.f64 y (.f64 z #s(literal 54 binary64)))
(* 54 (* y z))
(.f64 y (.f64 z #s(literal 54 binary64)))
(* 54 (* y z))
(.f64 y (.f64 z #s(literal 54 binary64)))
(* 54 (* y z))
(.f64 y (.f64 z #s(literal 54 binary64)))
(* 54 (* y z))
(.f64 y (.f64 z #s(literal 54 binary64)))
(* 54 (* y z))
(.f64 y (.f64 z #s(literal 54 binary64)))
(* 54 (* y z))
(.f64 y (.f64 z #s(literal 54 binary64)))
(* 54 (* y z))
(.f64 y (.f64 z #s(literal 54 binary64)))
(* 54 (* y z))
(.f64 y (.f64 z #s(literal 54 binary64)))
(* 54 (* y z))
(.f64 y (.f64 z #s(literal 54 binary64)))
(* 54 (* y z))
(.f64 y (.f64 z #s(literal 54 binary64)))
(* 54 (* y z))
(.f64 y (.f64 z #s(literal 54 binary64)))
(* 54 (* y z))
(.f64 y (.f64 z #s(literal 54 binary64)))
(* 54 (* y z))
(.f64 y (.f64 z #s(literal 54 binary64)))
(* 54 (* y z))
(.f64 y (.f64 z #s(literal 54 binary64)))
(* 54 (* y z))
(.f64 y (.f64 z #s(literal 54 binary64)))
(* 3 (sqrt t))
(*.f64 (sqrt.f64 t) #s(literal 3 binary64))
(* 3 (sqrt t))
(*.f64 (sqrt.f64 t) #s(literal 3 binary64))
(* 3 (sqrt t))
(*.f64 (sqrt.f64 t) #s(literal 3 binary64))
(* 3 (sqrt t))
(*.f64 (sqrt.f64 t) #s(literal 3 binary64))
(* 3 (sqrt t))
(*.f64 (sqrt.f64 t) #s(literal 3 binary64))
(* 3 (sqrt t))
(*.f64 (sqrt.f64 t) #s(literal 3 binary64))
(* 3 (sqrt t))
(*.f64 (sqrt.f64 t) #s(literal 3 binary64))
(* 3 (sqrt t))
(*.f64 (sqrt.f64 t) #s(literal 3 binary64))
(* -3 (* (sqrt t) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 t) #s(literal 3 binary64))
(* -3 (* (sqrt t) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 t) #s(literal 3 binary64))
(* -3 (* (sqrt t) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 t) #s(literal 3 binary64))
(* -3 (* (sqrt t) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 t) #s(literal 3 binary64))

eval684.0ms (1.9%)

Memory: 13.1MiB live, 1 114.0MiB allocated
Compiler: Compiled 72 789 to 6 341 computations (91.3% saved)

prune391.0ms (1.1%)

Memory

-7.8MiB live, 786.9MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	3 510	4	3 514
Fresh	0	0	0
Picked	4	0	4
Done	0	0	0
Total	3 514	4	3 518

Accuracy

100.0%

Counts

3 518 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(fma.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1/3 binary64) (fma.f64 (sqrt.f64 (PI.f64)) (neg.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/6 binary64))) (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))))))
▶	97.7%	(fma.f64 (PI.f64) #s(literal 1/6 binary64) (.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))) #s(literal -1/3 binary64)))
▶	98.0%	(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (.f64 x (sqrt.f64 t)) (*.f64 y #s(literal 18 binary64))) z)))
▶	98.1%	(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 y z)) (sqrt.f64 t))))

Compiler

Compiled 84 to 64 computations (23.8% saved)

simplify11.2s (30.5%)

Memory

-10.1MiB live, 2 252.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 (PI.f64) #s(literal 1/2 binary64))
✓	cost-diff	128	(neg.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/6 binary64)))
✓	cost-diff	1088	(fma.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1/3 binary64) (fma.f64 (sqrt.f64 (PI.f64)) (neg.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/6 binary64))) (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))))))
✓	cost-diff	1600	(fma.f64 (sqrt.f64 (PI.f64)) (neg.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/6 binary64))) (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))))
✓	cost-diff	0	(asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))
✓	cost-diff	0	(.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))) #s(literal -1/3 binary64))
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(fma.f64 (PI.f64) #s(literal 1/6 binary64) (.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))) #s(literal -1/3 binary64)))
✓	cost-diff	0	(/.f64 (.f64 x (sqrt.f64 t)) (.f64 y #s(literal 18 binary64)))
✓	cost-diff	0	(acos.f64 (/.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y #s(literal 18 binary64))) z))
✓	cost-diff	0	(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (.f64 x (sqrt.f64 t)) (*.f64 y #s(literal 18 binary64))) z)))
✓	cost-diff	384	(/.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y #s(literal 18 binary64))) z)
✓	cost-diff	0	(/.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 y z))
✓	cost-diff	0	(.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) (sqrt.f64 t))
✓	cost-diff	0	(acos.f64 (.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) (sqrt.f64 t)))
✓	cost-diff	0	(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 y z)) (sqrt.f64 t))))

Rules

81 992×	`accelerator-lowering-fma.f32`
81 992×	`accelerator-lowering-fma.f64`
4 244×	`-lowering-.f32`
4 244×	`-lowering-.f64`
2 840×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	291
1	99	291
2	230	287
3	461	287
4	667	287
5	1065	287
6	2366	287
7	4038	287
8	4762	287
9	5304	287
10	5547	287
11	5651	287
12	5667	287
13	5667	287
14	5667	287
0	8413	285

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* 1/3 (acos (* (/ (* x 1/18) (* y z)) (sqrt t))))
1/3
(acos (* (/ (* x 1/18) (* y z)) (sqrt t)))
(* (/ (* x 1/18) (* y z)) (sqrt t))
(/ (* x 1/18) (* y z))
(* x 1/18)
x
1/18
(* y z)
y
z
(sqrt t)
t
(* 1/3 (acos (/ (/ (* x (sqrt t)) (* y 18)) z)))
1/3
(acos (/ (/ (* x (sqrt t)) (* y 18)) z))
(/ (/ (* x (sqrt t)) (* y 18)) z)
(/ (* x (sqrt t)) (* y 18))
(* x (sqrt t))
x
(sqrt t)
t
(* y 18)
y
18
z
(+ (* (PI) 1/6) (* (asin (/ (* x (* (sqrt t) 1/18)) (* y z))) -1/3))
(PI)
1/6
(* (asin (/ (* x (* (sqrt t) 1/18)) (* y z))) -1/3)
(asin (/ (* x (* (sqrt t) 1/18)) (* y z)))
(/ (* x (* (sqrt t) 1/18)) (* y z))
(* x (* (sqrt t) 1/18))
x
(* (sqrt t) 1/18)
(sqrt t)
t
1/18
(* y z)
y
z
-1/3
(+ (* (* (PI) 1/2) 1/3) (+ (* (sqrt (PI)) (neg (* (sqrt (PI)) 1/6))) (* 1/3 (acos (/ (* x (* (sqrt t) 1/18)) (* y z))))))
(* (PI) 1/2)
(PI)
1/2
1/3
(+ (* (sqrt (PI)) (neg (* (sqrt (PI)) 1/6))) (* 1/3 (acos (/ (* x (* (sqrt t) 1/18)) (* y z)))))
(sqrt (PI))
(neg (* (sqrt (PI)) 1/6))
(* (sqrt (PI)) 1/6)
1/6
(* 1/3 (acos (/ (* x (* (sqrt t) 1/18)) (* y z))))
(acos (/ (* x (* (sqrt t) 1/18)) (* y z)))
(/ (* x (* (sqrt t) 1/18)) (* y z))
(* x (* (sqrt t) 1/18))
x
(* (sqrt t) 1/18)
(sqrt t)
t
1/18
(* y z)
y
z

Outputs
(* 1/3 (acos (* (/ (* x 1/18) (* y z)) (sqrt t))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z))))
1/3
#s(literal 1/3 binary64)
(acos (* (/ (* x 1/18) (* y z)) (sqrt t)))
(acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))
(* (/ (* x 1/18) (* y z)) (sqrt t))
(/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(/ (* x 1/18) (* y z))
(/.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 y z))
(* x 1/18)
(*.f64 x #s(literal 1/18 binary64))
x
1/18
#s(literal 1/18 binary64)
(* y z)
(*.f64 y z)
y
z
(sqrt t)
(sqrt.f64 t)
t
(* 1/3 (acos (/ (/ (* x (sqrt t)) (* y 18)) z)))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 z (.f64 y #s(literal 18 binary64))))))
1/3
#s(literal 1/3 binary64)
(acos (/ (/ (* x (sqrt t)) (* y 18)) z))
(acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 z (*.f64 y #s(literal 18 binary64)))))
(/ (/ (* x (sqrt t)) (* y 18)) z)
(/.f64 (.f64 x (sqrt.f64 t)) (.f64 z (*.f64 y #s(literal 18 binary64))))
(/ (* x (sqrt t)) (* y 18))
(/.f64 (.f64 x (sqrt.f64 t)) (.f64 y #s(literal 18 binary64)))
(* x (sqrt t))
(*.f64 x (sqrt.f64 t))
x
(sqrt t)
(sqrt.f64 t)
t
(* y 18)
(*.f64 y #s(literal 18 binary64))
y
18
#s(literal 18 binary64)
z
(+ (* (PI) 1/6) (* (asin (/ (* x (* (sqrt t) 1/18)) (* y z))) -1/3))
(fma.f64 (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z))) #s(literal -1/3 binary64) (.f64 (PI.f64) #s(literal 1/6 binary64)))
(PI)
(PI.f64)
1/6
#s(literal 1/6 binary64)
(* (asin (/ (* x (* (sqrt t) 1/18)) (* y z))) -1/3)
(.f64 (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z))) #s(literal -1/3 binary64))
(asin (/ (* x (* (sqrt t) 1/18)) (* y z)))
(asin.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))
(/ (* x (* (sqrt t) 1/18)) (* y z))
(/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(* x (* (sqrt t) 1/18))
(.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
x
(* (sqrt t) 1/18)
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
(sqrt t)
(sqrt.f64 t)
t
1/18
#s(literal 1/18 binary64)
(* y z)
(*.f64 y z)
y
z
-1/3
#s(literal -1/3 binary64)
(+ (* (* (PI) 1/2) 1/3) (+ (* (sqrt (PI)) (neg (* (sqrt (PI)) 1/6))) (* 1/3 (acos (/ (* x (* (sqrt t) 1/18)) (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z))))
(* (PI) 1/2)
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI)
(PI.f64)
1/2
#s(literal 1/2 binary64)
1/3
#s(literal 1/3 binary64)
(+ (* (sqrt (PI)) (neg (* (sqrt (PI)) 1/6))) (* 1/3 (acos (/ (* x (* (sqrt t) 1/18)) (* y z)))))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z))) (.f64 (PI.f64) #s(literal -1/6 binary64)))
(sqrt (PI))
(sqrt.f64 (PI.f64))
(neg (* (sqrt (PI)) 1/6))
(*.f64 (sqrt.f64 (PI.f64)) #s(literal -1/6 binary64))
(* (sqrt (PI)) 1/6)
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 (PI.f64)))
1/6
#s(literal 1/6 binary64)
(* 1/3 (acos (/ (* x (* (sqrt t) 1/18)) (* y z))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z))))
(acos (/ (* x (* (sqrt t) 1/18)) (* y z)))
(acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))
(/ (* x (* (sqrt t) 1/18)) (* y z))
(/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(* x (* (sqrt t) 1/18))
(.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
x
(* (sqrt t) 1/18)
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
(sqrt t)
(sqrt.f64 t)
t
1/18
#s(literal 1/18 binary64)
(* y z)
(*.f64 y z)
y
z

localize311.0ms (0.8%)

Memory

45.4MiB live, 589.0MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.5%	(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))))
✓	accuracy	98.4%	(sqrt.f64 (PI.f64))
✓	accuracy	93.3%	(/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))
✓	accuracy	5.1%	(fma.f64 (sqrt.f64 (PI.f64)) (neg.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/6 binary64))) (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))))
✓	accuracy	99.6%	(.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))) #s(literal -1/3 binary64))
✓	accuracy	99.4%	(*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))
✓	accuracy	98.5%	(fma.f64 (PI.f64) #s(literal 1/6 binary64) (.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))) #s(literal -1/3 binary64)))
✓	accuracy	93.3%	(/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))
✓	accuracy	99.7%	(*.f64 x (sqrt.f64 t))
✓	accuracy	98.5%	(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (.f64 x (sqrt.f64 t)) (*.f64 y #s(literal 18 binary64))) z)))
✓	accuracy	95.3%	(/.f64 (.f64 x (sqrt.f64 t)) (.f64 y #s(literal 18 binary64)))
✓	accuracy	91.5%	(/.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y #s(literal 18 binary64))) z)
✓	accuracy	99.4%	(*.f64 x #s(literal 1/18 binary64))
✓	accuracy	98.5%	(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 y z)) (sqrt.f64 t))))
✓	accuracy	95.0%	(.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) (sqrt.f64 t))
✓	accuracy	94.2%	(/.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 y z))

Samples

137.0ms	120×	2	valid
80.0ms	118×	1	valid
18.0ms	14×	3	valid
2.0ms	4×	0	valid

Compiler

Compiled 306 to 43 computations (85.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 179.0ms

ival-mult: 59.0ms (33% of total)

const: 34.0ms (19% of total)

ival-div: 21.0ms (11.7% of total)

ival-acos: 19.0ms (10.6% of total)

adjust: 18.0ms (10.1% of total)

ival-sqrt: 10.0ms (5.6% of total)

ival-add: 8.0ms (4.5% of total)

ival-asin: 4.0ms (2.2% of total)

ival-neg: 3.0ms (1.7% of total)

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

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

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

exact: 0.0ms (0% of total)

series37.0ms (0.1%)

Memory

-25.1MiB live, 60.5MiB allocated

Counts

22 → 744

Calls

Call 1

Inputs
#<alt (* 1/3 (acos (* (/ (* x 1/18) (* y z)) (sqrt t))))>
#<alt (acos (* (/ (* x 1/18) (* y z)) (sqrt t)))>
#<alt (* (/ (* x 1/18) (* y z)) (sqrt t))>
#<alt (/ (* x 1/18) (* y z))>
#<alt (/ (/ (* x (sqrt t)) (* y 18)) z)>
#<alt (* 1/3 (acos (/ (/ (* x (sqrt t)) (* y 18)) z)))>
#<alt (acos (/ (/ (* x (sqrt t)) (* y 18)) z))>
#<alt (/ (* x (sqrt t)) (* y 18))>
#<alt (+ (* (PI) 1/6) (* (asin (/ (* x (* (sqrt t) 1/18)) (* y z))) -1/3))>
#<alt (PI)>
#<alt (* (asin (/ (* x (* (sqrt t) 1/18)) (* y z))) -1/3)>
#<alt (asin (/ (* x (* (sqrt t) 1/18)) (* y z)))>
#<alt (+ (* (sqrt (PI)) (neg (* (sqrt (PI)) 1/6))) (* 1/3 (acos (/ (* x (* (sqrt t) 1/18)) (* y z)))))>
#<alt (+ (* (* (PI) 1/2) 1/3) (+ (* (sqrt (PI)) (neg (* (sqrt (PI)) 1/6))) (* 1/3 (acos (/ (* x (* (sqrt t) 1/18)) (* y z))))))>
#<alt (neg (* (sqrt (PI)) 1/6))>
#<alt (* (PI) 1/2)>
#<alt (* x 1/18)>
#<alt (* x (sqrt t))>
#<alt (/ (* x (* (sqrt t) 1/18)) (* y z))>
#<alt (* (sqrt t) 1/18)>
#<alt (sqrt (PI))>
#<alt (* 1/3 (acos (/ (* x (* (sqrt t) 1/18)) (* y z))))>

Outputs
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
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#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
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#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
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#<alt (+ (* -1/6 (PI)) (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))))>
#<alt (+ (* -1/6 (PI)) (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (+ (* -1/6 (PI)) (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (+ (* -1/6 (PI)) (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (+ (* -1/6 (PI)) (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (+ (* -1/6 (PI)) (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (+ (* -1/6 (PI)) (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (+ (* -1/6 (PI)) (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (+ (* -1/6 (PI)) (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (+ (* -1/6 (PI)) (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (+ (* -1/6 (PI)) (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (+ (* -1/6 (PI)) (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (+ (* -1/6 (PI)) (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (+ (* -1/6 (PI)) (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (+ (* -1/6 (PI)) (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (+ (* -1/6 (PI)) (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (+ (* -1/6 (PI)) (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (+ (* -1/6 (PI)) (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (+ (* -1/6 (PI)) (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (+ (* -1/6 (PI)) (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (+ (* -1/6 (PI)) (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (+ (* -1/6 (PI)) (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (+ (* -1/6 (PI)) (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (+ (* -1/6 (PI)) (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (+ (* -1/6 (PI)) (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (* 1/18 x)>
#<alt (* 1/18 x)>
#<alt (* 1/18 x)>
#<alt (* 1/18 x)>
#<alt (* 1/18 x)>
#<alt (* 1/18 x)>
#<alt (* 1/18 x)>
#<alt (* 1/18 x)>
#<alt (* 1/18 x)>
#<alt (* 1/18 x)>
#<alt (* 1/18 x)>
#<alt (* 1/18 x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* -1 (* (sqrt t) (* x (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt t) (* x (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt t) (* x (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt t) (* x (pow (sqrt -1) 2))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (sqrt t))>
#<alt (* 1/18 (sqrt t))>
#<alt (* 1/18 (sqrt t))>
#<alt (* 1/18 (sqrt t))>
#<alt (* 1/18 (sqrt t))>
#<alt (* 1/18 (sqrt t))>
#<alt (* 1/18 (sqrt t))>
#<alt (* 1/18 (sqrt t))>
#<alt (* -1/18 (* (sqrt t) (pow (sqrt -1) 2)))>
#<alt (* -1/18 (* (sqrt t) (pow (sqrt -1) 2)))>
#<alt (* -1/18 (* (sqrt t) (pow (sqrt -1) 2)))>
#<alt (* -1/18 (* (sqrt t) (pow (sqrt -1) 2)))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>

Calls

186 calls:

Time	Variable		Point	Expression
6.0ms	x	@	-inf	(* 1/3 (acos (* (/ (* x 1/18) (* y z)) (sqrt t))))
6.0ms	x	@	-inf	(* x 1/18)
1.0ms	t	@	-inf	(/ (* x (sqrt t)) (* y 18))
1.0ms	x	@	inf	(/ (* x (sqrt t)) (* y 18))
1.0ms	x	@	0	(/ (* x (sqrt t)) (* y 18))

rewrite482.0ms (1.3%)

Memory

-8.5MiB live, 633.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 460×	`accelerator-lowering-fma.f32`
6 460×	`accelerator-lowering-fma.f64`
5 064×	`-lowering-.f32`
5 064×	`-lowering-.f64`
4 386×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	214
1	191	206
2	1385	200
0	8476	197

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 1 252

Calls

Call 1

Inputs
(* 1/3 (acos (* (/ (* x 1/18) (* y z)) (sqrt t))))
(acos (* (/ (* x 1/18) (* y z)) (sqrt t)))
(* (/ (* x 1/18) (* y z)) (sqrt t))
(/ (* x 1/18) (* y z))
(/ (/ (* x (sqrt t)) (* y 18)) z)
(* 1/3 (acos (/ (/ (* x (sqrt t)) (* y 18)) z)))
(acos (/ (/ (* x (sqrt t)) (* y 18)) z))
(/ (* x (sqrt t)) (* y 18))
(+ (* (PI) 1/6) (* (asin (/ (* x (* (sqrt t) 1/18)) (* y z))) -1/3))
(PI)
(* (asin (/ (* x (* (sqrt t) 1/18)) (* y z))) -1/3)
(asin (/ (* x (* (sqrt t) 1/18)) (* y z)))
(+ (* (sqrt (PI)) (neg (* (sqrt (PI)) 1/6))) (* 1/3 (acos (/ (* x (* (sqrt t) 1/18)) (* y z)))))
(+ (* (* (PI) 1/2) 1/3) (+ (* (sqrt (PI)) (neg (* (sqrt (PI)) 1/6))) (* 1/3 (acos (/ (* x (* (sqrt t) 1/18)) (* y z))))))
(neg (* (sqrt (PI)) 1/6))
(* (PI) 1/2)
(* x 1/18)
(* x (sqrt t))
(/ (* x (* (sqrt t) 1/18)) (* y z))
(* (sqrt t) 1/18)
(sqrt (PI))
(* 1/3 (acos (/ (* x (* (sqrt t) 1/18)) (* y z))))

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

simplify390.0ms (1.1%)

Memory

14.8MiB live, 624.9MiB allocated

Algorithm

1×	egg-herbie

Rules

5 134×	`accelerator-lowering-fma.f32`
5 134×	`accelerator-lowering-fma.f64`
4 028×	`-lowering-.f32`
4 028×	`-lowering-.f64`
2 884×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	8696
1	118	8536
2	309	8496
3	1036	8496
4	2231	8496
5	4769	8496
6	6268	8496
7	7874	8496
0	8035	8400

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

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

eval3.1s (8.4%)

Memory: 10.6MiB live, 742.9MiB allocated
Compiler: Compiled 54 553 to 4 574 computations (91.6% saved)

prune255.0ms (0.7%)

Memory

-1.7MiB live, 569.4MiB allocated

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	2 442	4	2 446
Fresh	0	0	0
Picked	1	3	4
Done	0	0	0
Total	2 443	7	2 450

Accuracy

100.0%

Counts

2 450 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.1%	(fma.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal -1/6 binary64)) (sqrt.f64 (PI.f64)) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 z (.f64 y #s(literal 18 binary64))))) (*.f64 (PI.f64) #s(literal 1/6 binary64))))
▶	99.6%	(fma.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1/3 binary64) (fma.f64 (sqrt.f64 (PI.f64)) (neg.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/6 binary64))) (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) z) y)))))
▶	99.5%	(fma.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1/3 binary64) (fma.f64 (sqrt.f64 (PI.f64)) (neg.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/6 binary64))) (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (sqrt.f64 t) (.f64 z (.f64 y #s(literal 18 binary64)))) x)))))
✓	97.7%	(fma.f64 (PI.f64) #s(literal 1/6 binary64) (.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))) #s(literal -1/3 binary64)))
▶	97.6%	(fma.f64 (PI.f64) #s(literal -1/6 binary64) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 z (.f64 y #s(literal 18 binary64))))) (.f64 (PI.f64) #s(literal 1/6 binary64))))
✓	98.0%	(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (.f64 x (sqrt.f64 t)) (*.f64 y #s(literal 18 binary64))) z)))
✓	98.1%	(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 y z)) (sqrt.f64 t))))

Compiler

Compiled 164 to 124 computations (24.4% saved)

simplify1.6s (4.3%)

Memory

22.6MiB live, 1 040.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(sqrt.f64 (PI.f64))
✓	cost-diff	0	(*.f64 (sqrt.f64 (PI.f64)) #s(literal -1/6 binary64))
✓	cost-diff	2368	(fma.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal -1/6 binary64)) (sqrt.f64 (PI.f64)) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 z (.f64 y #s(literal 18 binary64))))) (*.f64 (PI.f64) #s(literal 1/6 binary64))))
✓	cost-diff	128	(neg.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/6 binary64)))
✓	cost-diff	384	(/.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) z) y)
✓	cost-diff	1088	(fma.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1/3 binary64) (fma.f64 (sqrt.f64 (PI.f64)) (neg.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/6 binary64))) (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) z) y)))))
✓	cost-diff	1600	(fma.f64 (sqrt.f64 (PI.f64)) (neg.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/6 binary64))) (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) z) y))))
✓	cost-diff	0	(*.f64 (PI.f64) #s(literal 1/2 binary64))
✓	cost-diff	128	(neg.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/6 binary64)))
✓	cost-diff	1088	(fma.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1/3 binary64) (fma.f64 (sqrt.f64 (PI.f64)) (neg.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/6 binary64))) (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (sqrt.f64 t) (.f64 z (.f64 y #s(literal 18 binary64)))) x)))))
✓	cost-diff	1600	(fma.f64 (sqrt.f64 (PI.f64)) (neg.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/6 binary64))) (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (sqrt.f64 t) (.f64 z (*.f64 y #s(literal 18 binary64)))) x))))
✓	cost-diff	0	(acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 z (*.f64 y #s(literal 18 binary64)))))
✓	cost-diff	0	(fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 z (.f64 y #s(literal 18 binary64))))) (.f64 (PI.f64) #s(literal 1/6 binary64)))
✓	cost-diff	0	(PI.f64)
✓	cost-diff	768	(fma.f64 (PI.f64) #s(literal -1/6 binary64) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 z (.f64 y #s(literal 18 binary64))))) (.f64 (PI.f64) #s(literal 1/6 binary64))))

Rules

46 448×	`accelerator-lowering-fma.f32`
46 448×	`accelerator-lowering-fma.f64`
4 512×	`-lowering-.f32`
4 512×	`-lowering-.f64`
1 580×	`distribute-lft-out`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	434
1	110	434
2	233	394
3	481	370
4	789	370
5	1399	370
6	3493	370
7	5323	370
8	5990	370
9	6232	370
10	6381	370
11	6420	370
12	6424	370
13	6424	370
14	6472	370
15	6472	370
0	8028	366

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ (* (PI) -1/6) (+ (* 1/3 (acos (/ (* x (sqrt t)) (* z (* y 18))))) (* (PI) 1/6)))
(PI)
-1/6
(+ (* 1/3 (acos (/ (* x (sqrt t)) (* z (* y 18))))) (* (PI) 1/6))
1/3
(acos (/ (* x (sqrt t)) (* z (* y 18))))
(/ (* x (sqrt t)) (* z (* y 18)))
(* x (sqrt t))
x
(sqrt t)
t
(* z (* y 18))
z
(* y 18)
y
18
(* (PI) 1/6)
1/6
(+ (* (* (PI) 1/2) 1/3) (+ (* (sqrt (PI)) (neg (* (sqrt (PI)) 1/6))) (* 1/3 (acos (* (/ (sqrt t) (* z (* y 18))) x)))))
(* (PI) 1/2)
(PI)
1/2
1/3
(+ (* (sqrt (PI)) (neg (* (sqrt (PI)) 1/6))) (* 1/3 (acos (* (/ (sqrt t) (* z (* y 18))) x))))
(sqrt (PI))
(neg (* (sqrt (PI)) 1/6))
(* (sqrt (PI)) 1/6)
1/6
(* 1/3 (acos (* (/ (sqrt t) (* z (* y 18))) x)))
(acos (* (/ (sqrt t) (* z (* y 18))) x))
(* (/ (sqrt t) (* z (* y 18))) x)
(/ (sqrt t) (* z (* y 18)))
(sqrt t)
t
(* z (* y 18))
z
(* y 18)
y
18
x
(+ (* (* (PI) 1/2) 1/3) (+ (* (sqrt (PI)) (neg (* (sqrt (PI)) 1/6))) (* 1/3 (acos (/ (/ (* x (* 1/18 (sqrt t))) z) y)))))
(* (PI) 1/2)
(PI)
1/2
1/3
(+ (* (sqrt (PI)) (neg (* (sqrt (PI)) 1/6))) (* 1/3 (acos (/ (/ (* x (* 1/18 (sqrt t))) z) y))))
(sqrt (PI))
(neg (* (sqrt (PI)) 1/6))
(* (sqrt (PI)) 1/6)
1/6
(* 1/3 (acos (/ (/ (* x (* 1/18 (sqrt t))) z) y)))
(acos (/ (/ (* x (* 1/18 (sqrt t))) z) y))
(/ (/ (* x (* 1/18 (sqrt t))) z) y)
(/ (* x (* 1/18 (sqrt t))) z)
(* x (* 1/18 (sqrt t)))
x
(* 1/18 (sqrt t))
1/18
(sqrt t)
t
z
y
(+ (* (* (sqrt (PI)) -1/6) (sqrt (PI))) (+ (* 1/3 (acos (/ (* x (sqrt t)) (* z (* y 18))))) (* (PI) 1/6)))
(* (sqrt (PI)) -1/6)
(sqrt (PI))
(PI)
-1/6
(+ (* 1/3 (acos (/ (* x (sqrt t)) (* z (* y 18))))) (* (PI) 1/6))
1/3
(acos (/ (* x (sqrt t)) (* z (* y 18))))
(/ (* x (sqrt t)) (* z (* y 18)))
(* x (sqrt t))
x
(sqrt t)
t
(* z (* y 18))
z
(* y 18)
y
18
(* (PI) 1/6)
1/6

Outputs
(+ (* (PI) -1/6) (+ (* 1/3 (acos (/ (* x (sqrt t)) (* z (* y 18))))) (* (PI) 1/6)))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 z (.f64 y #s(literal 18 binary64))))))
(PI)
(PI.f64)
-1/6
#s(literal -1/6 binary64)
(+ (* 1/3 (acos (/ (* x (sqrt t)) (* z (* y 18))))) (* (PI) 1/6))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 z (.f64 y #s(literal 18 binary64))))) (.f64 (PI.f64) #s(literal 1/6 binary64)))
1/3
#s(literal 1/3 binary64)
(acos (/ (* x (sqrt t)) (* z (* y 18))))
(acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 z (*.f64 y #s(literal 18 binary64)))))
(/ (* x (sqrt t)) (* z (* y 18)))
(/.f64 (.f64 x (sqrt.f64 t)) (.f64 z (*.f64 y #s(literal 18 binary64))))
(* x (sqrt t))
(*.f64 x (sqrt.f64 t))
x
(sqrt t)
(sqrt.f64 t)
t
(* z (* y 18))
(.f64 z (.f64 y #s(literal 18 binary64)))
z
(* y 18)
(*.f64 y #s(literal 18 binary64))
y
18
#s(literal 18 binary64)
(* (PI) 1/6)
(*.f64 (PI.f64) #s(literal 1/6 binary64))
1/6
#s(literal 1/6 binary64)
(+ (* (* (PI) 1/2) 1/3) (+ (* (sqrt (PI)) (neg (* (sqrt (PI)) 1/6))) (* 1/3 (acos (* (/ (sqrt t) (* z (* y 18))) x)))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 z (.f64 y #s(literal 18 binary64))))))
(* (PI) 1/2)
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI)
(PI.f64)
1/2
#s(literal 1/2 binary64)
1/3
#s(literal 1/3 binary64)
(+ (* (sqrt (PI)) (neg (* (sqrt (PI)) 1/6))) (* 1/3 (acos (* (/ (sqrt t) (* z (* y 18))) x))))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 z (.f64 y #s(literal 18 binary64))))) (.f64 (PI.f64) #s(literal -1/6 binary64)))
(sqrt (PI))
(sqrt.f64 (PI.f64))
(neg (* (sqrt (PI)) 1/6))
(*.f64 #s(literal -1/6 binary64) (sqrt.f64 (PI.f64)))
(* (sqrt (PI)) 1/6)
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 (PI.f64)))
1/6
#s(literal 1/6 binary64)
(* 1/3 (acos (* (/ (sqrt t) (* z (* y 18))) x)))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 z (.f64 y #s(literal 18 binary64))))))
(acos (* (/ (sqrt t) (* z (* y 18))) x))
(acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 z (*.f64 y #s(literal 18 binary64)))))
(* (/ (sqrt t) (* z (* y 18))) x)
(/.f64 (.f64 x (sqrt.f64 t)) (.f64 z (*.f64 y #s(literal 18 binary64))))
(/ (sqrt t) (* z (* y 18)))
(/.f64 (sqrt.f64 t) (.f64 z (.f64 y #s(literal 18 binary64))))
(sqrt t)
(sqrt.f64 t)
t
(* z (* y 18))
(.f64 z (.f64 y #s(literal 18 binary64)))
z
(* y 18)
(*.f64 y #s(literal 18 binary64))
y
18
#s(literal 18 binary64)
x
(+ (* (* (PI) 1/2) 1/3) (+ (* (sqrt (PI)) (neg (* (sqrt (PI)) 1/6))) (* 1/3 (acos (/ (/ (* x (* 1/18 (sqrt t))) z) y)))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 z y))))
(* (PI) 1/2)
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI)
(PI.f64)
1/2
#s(literal 1/2 binary64)
1/3
#s(literal 1/3 binary64)
(+ (* (sqrt (PI)) (neg (* (sqrt (PI)) 1/6))) (* 1/3 (acos (/ (/ (* x (* 1/18 (sqrt t))) z) y))))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 z y))) (.f64 (PI.f64) #s(literal -1/6 binary64)))
(sqrt (PI))
(sqrt.f64 (PI.f64))
(neg (* (sqrt (PI)) 1/6))
(*.f64 #s(literal -1/6 binary64) (sqrt.f64 (PI.f64)))
(* (sqrt (PI)) 1/6)
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 (PI.f64)))
1/6
#s(literal 1/6 binary64)
(* 1/3 (acos (/ (/ (* x (* 1/18 (sqrt t))) z) y)))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 z y))))
(acos (/ (/ (* x (* 1/18 (sqrt t))) z) y))
(acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 z y)))
(/ (/ (* x (* 1/18 (sqrt t))) z) y)
(/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 z y))
(/ (* x (* 1/18 (sqrt t))) z)
(/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) z)
(* x (* 1/18 (sqrt t)))
(.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))
x
(* 1/18 (sqrt t))
(*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))
1/18
#s(literal 1/18 binary64)
(sqrt t)
(sqrt.f64 t)
t
z
y
(+ (* (* (sqrt (PI)) -1/6) (sqrt (PI))) (+ (* 1/3 (acos (/ (* x (sqrt t)) (* z (* y 18))))) (* (PI) 1/6)))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 z (.f64 y #s(literal 18 binary64))))))
(* (sqrt (PI)) -1/6)
(*.f64 #s(literal -1/6 binary64) (sqrt.f64 (PI.f64)))
(sqrt (PI))
(sqrt.f64 (PI.f64))
(PI)
(PI.f64)
-1/6
#s(literal -1/6 binary64)
(+ (* 1/3 (acos (/ (* x (sqrt t)) (* z (* y 18))))) (* (PI) 1/6))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 z (.f64 y #s(literal 18 binary64))))) (.f64 (PI.f64) #s(literal 1/6 binary64)))
1/3
#s(literal 1/3 binary64)
(acos (/ (* x (sqrt t)) (* z (* y 18))))
(acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 z (*.f64 y #s(literal 18 binary64)))))
(/ (* x (sqrt t)) (* z (* y 18)))
(/.f64 (.f64 x (sqrt.f64 t)) (.f64 z (*.f64 y #s(literal 18 binary64))))
(* x (sqrt t))
(*.f64 x (sqrt.f64 t))
x
(sqrt t)
(sqrt.f64 t)
t
(* z (* y 18))
(.f64 z (.f64 y #s(literal 18 binary64)))
z
(* y 18)
(*.f64 y #s(literal 18 binary64))
y
18
#s(literal 18 binary64)
(* (PI) 1/6)
(*.f64 (PI.f64) #s(literal 1/6 binary64))
1/6
#s(literal 1/6 binary64)

localize714.0ms (2%)

Memory

-34.0MiB live, 477.2MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.7%	(.f64 z (.f64 y #s(literal 18 binary64)))
✓	accuracy	98.4%	(*.f64 (PI.f64) #s(literal 1/6 binary64))
✓	accuracy	98.4%	(sqrt.f64 (PI.f64))
✓	accuracy	92.9%	(/.f64 (.f64 x (sqrt.f64 t)) (.f64 z (*.f64 y #s(literal 18 binary64))))
✓	accuracy	98.4%	(sqrt.f64 (PI.f64))
✓	accuracy	96.1%	(/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) z)
✓	accuracy	93.8%	(/.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) z) y)
✓	accuracy	5.1%	(fma.f64 (sqrt.f64 (PI.f64)) (neg.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/6 binary64))) (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) z) y))))
✓	accuracy	98.4%	(sqrt.f64 (PI.f64))
✓	accuracy	96.2%	(/.f64 (sqrt.f64 t) (.f64 z (.f64 y #s(literal 18 binary64))))
✓	accuracy	93.7%	(.f64 (/.f64 (sqrt.f64 t) (.f64 z (*.f64 y #s(literal 18 binary64)))) x)
✓	accuracy	5.1%	(fma.f64 (sqrt.f64 (PI.f64)) (neg.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/6 binary64))) (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (sqrt.f64 t) (.f64 z (*.f64 y #s(literal 18 binary64)))) x))))
✓	accuracy	98.7%	(.f64 z (.f64 y #s(literal 18 binary64)))
✓	accuracy	98.4%	(fma.f64 (PI.f64) #s(literal -1/6 binary64) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 z (.f64 y #s(literal 18 binary64))))) (.f64 (PI.f64) #s(literal 1/6 binary64))))
✓	accuracy	98.4%	(*.f64 (PI.f64) #s(literal 1/6 binary64))
✓	accuracy	92.9%	(/.f64 (.f64 x (sqrt.f64 t)) (.f64 z (*.f64 y #s(literal 18 binary64))))

Samples

236.0ms	120×	2	valid
145.0ms	118×	1	valid
21.0ms	13×	4	valid
2.0ms	4×	0	valid
1.0ms	1×	3	valid

Compiler

Compiled 422 to 47 computations (88.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 327.0ms

ival-mult: 158.0ms (48.3% of total)

ival-div: 44.0ms (13.4% of total)

ival-acos: 35.0ms (10.7% of total)

const: 32.0ms (9.8% of total)

adjust: 25.0ms (7.6% of total)

ival-add: 19.0ms (5.8% of total)

ival-sqrt: 9.0ms (2.7% of total)

ival-pi: 3.0ms (0.9% of total)

ival-neg: 3.0ms (0.9% of total)

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

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

exact: 0.0ms (0% of total)

series59.0ms (0.2%)

Memory

2.1MiB live, 44.3MiB allocated

Counts

20 → 624

Calls

Call 1

Inputs
#<alt (+ (* (PI) -1/6) (+ (* 1/3 (acos (/ (* x (sqrt t)) (* z (* y 18))))) (* (PI) 1/6)))>
#<alt (PI)>
#<alt (+ (* 1/3 (acos (/ (* x (sqrt t)) (* z (* y 18))))) (* (PI) 1/6))>
#<alt (acos (/ (* x (sqrt t)) (* z (* y 18))))>
#<alt (+ (* (sqrt (PI)) (neg (* (sqrt (PI)) 1/6))) (* 1/3 (acos (* (/ (sqrt t) (* z (* y 18))) x))))>
#<alt (+ (* (* (PI) 1/2) 1/3) (+ (* (sqrt (PI)) (neg (* (sqrt (PI)) 1/6))) (* 1/3 (acos (* (/ (sqrt t) (* z (* y 18))) x)))))>
#<alt (neg (* (sqrt (PI)) 1/6))>
#<alt (* (PI) 1/2)>
#<alt (+ (* (sqrt (PI)) (neg (* (sqrt (PI)) 1/6))) (* 1/3 (acos (/ (/ (* x (* 1/18 (sqrt t))) z) y))))>
#<alt (+ (* (* (PI) 1/2) 1/3) (+ (* (sqrt (PI)) (neg (* (sqrt (PI)) 1/6))) (* 1/3 (acos (/ (/ (* x (* 1/18 (sqrt t))) z) y)))))>
#<alt (/ (/ (* x (* 1/18 (sqrt t))) z) y)>
#<alt (+ (* (* (sqrt (PI)) -1/6) (sqrt (PI))) (+ (* 1/3 (acos (/ (* x (sqrt t)) (* z (* y 18))))) (* (PI) 1/6)))>
#<alt (* (sqrt (PI)) -1/6)>
#<alt (sqrt (PI))>
#<alt (/ (* x (sqrt t)) (* z (* y 18)))>
#<alt (* (PI) 1/6)>
#<alt (* z (* y 18))>
#<alt (* (/ (sqrt t) (* z (* y 18))) x)>
#<alt (/ (sqrt t) (* z (* y 18)))>
#<alt (/ (* x (* 1/18 (sqrt t))) z)>

Outputs
#<alt (+ (* -1/6 (PI)) (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (+ (* -1/6 (PI)) (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (+ (* -1/6 (PI)) (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (+ (* -1/6 (PI)) (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (+ (* -1/6 (PI)) (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (+ (* -1/6 (PI)) (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (+ (* -1/6 (PI)) (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (+ (* -1/6 (PI)) (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (+ (* -1/6 (PI)) (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (+ (* -1/6 (PI)) (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (+ (* -1/6 (PI)) (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (+ (* -1/6 (PI)) (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (+ (* -1/6 (PI)) (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (+ (* -1/6 (PI)) (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (+ (* -1/6 (PI)) (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (+ (* -1/6 (PI)) (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (+ (* -1/6 (PI)) (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (+ (* -1/6 (PI)) (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (+ (* -1/6 (PI)) (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (+ (* -1/6 (PI)) (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (+ (* -1/6 (PI)) (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))))>
#<alt (+ (* -1/6 (PI)) (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))))>
#<alt (+ (* -1/6 (PI)) (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))))>
#<alt (+ (* -1/6 (PI)) (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))))>
#<alt (+ (* -1/6 (PI)) (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (+ (* -1/6 (PI)) (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (+ (* -1/6 (PI)) (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (+ (* -1/6 (PI)) (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (+ (* -1/6 (PI)) (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (+ (* -1/6 (PI)) (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (+ (* -1/6 (PI)) (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (+ (* -1/6 (PI)) (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (+ (* -1/6 (PI)) (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (+ (* -1/6 (PI)) (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (+ (* -1/6 (PI)) (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (+ (* -1/6 (PI)) (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (+ (* -1/6 (PI)) (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (+ (* -1/6 (PI)) (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (+ (* -1/6 (PI)) (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (+ (* -1/6 (PI)) (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (+ (* -1/6 (PI)) (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (+ (* -1/6 (PI)) (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (+ (* -1/6 (PI)) (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (+ (* -1/6 (PI)) (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (+ (* -1/6 (PI)) (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (+ (* -1/6 (PI)) (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (+ (* -1/6 (PI)) (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (+ (* -1/6 (PI)) (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))>
#<alt (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))>
#<alt (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))>
#<alt (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))>
#<alt (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (+ (* -1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (+ (* -1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (+ (* -1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (+ (* -1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (+ (* -1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (+ (* -1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (+ (* -1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (+ (* -1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (+ (* -1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))>
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#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
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#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
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#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
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#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
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#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
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#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
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#<alt (+ (* -1/6 (PI)) (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (+ (* -1/6 (PI)) (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
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#<alt (+ (* -1/6 (PI)) (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
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#<alt (+ (* -1/6 (PI)) (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))))>
#<alt (+ (* -1/6 (PI)) (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))))>
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#<alt (+ (* -1/6 (PI)) (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (+ (* -1/6 (PI)) (+ (* 1/6 (PI)) (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
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#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 18 (* y z))>
#<alt (* 18 (* y z))>
#<alt (* 18 (* y z))>
#<alt (* 18 (* y z))>
#<alt (* 18 (* y z))>
#<alt (* 18 (* y z))>
#<alt (* 18 (* y z))>
#<alt (* 18 (* y z))>
#<alt (* 18 (* y z))>
#<alt (* 18 (* y z))>
#<alt (* 18 (* y z))>
#<alt (* 18 (* y z))>
#<alt (* 18 (* y z))>
#<alt (* 18 (* y z))>
#<alt (* 18 (* y z))>
#<alt (* 18 (* y z))>
#<alt (* 18 (* y z))>
#<alt (* 18 (* y z))>
#<alt (* 18 (* y z))>
#<alt (* 18 (* y z))>
#<alt (* 18 (* y z))>
#<alt (* 18 (* y z))>
#<alt (* 18 (* y z))>
#<alt (* 18 (* y z))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
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#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
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#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
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#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ 1 (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ 1 (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ 1 (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ 1 (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ 1 (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ 1 (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ 1 (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ 1 (* y z))))>
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#<alt (* -1/18 (* (sqrt t) (/ (pow (sqrt -1) 2) (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ (pow (sqrt -1) 2) (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ (pow (sqrt -1) 2) (* y z))))>
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#<alt (* 1/18 (* (sqrt t) (/ 1 (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ 1 (* y z))))>
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#<alt (* 1/18 (* (sqrt t) (/ 1 (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ 1 (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ 1 (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ 1 (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ 1 (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ 1 (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ 1 (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ 1 (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ 1 (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ 1 (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ 1 (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ 1 (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ 1 (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ 1 (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ 1 (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ 1 (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ 1 (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) z)))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) z)))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) z)))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) z)))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>

Calls

156 calls:

Time	Variable		Point	Expression
34.0ms	y	@	inf	(* z (* y 18))
1.0ms	t	@	-inf	(/ (sqrt t) (* z (* y 18)))
1.0ms	t	@	-inf	(/ (* x (* 1/18 (sqrt t))) z)
1.0ms	y	@	0	(/ (sqrt t) (* z (* y 18)))
1.0ms	x	@	inf	(/ (* x (* 1/18 (sqrt t))) z)

rewrite5.0s (13.8%)

Memory

2.8MiB live, 866.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

10 386×	`accelerator-lowering-fma.f32`
10 386×	`accelerator-lowering-fma.f64`
4 442×	`/-lowering-/.f32`
4 442×	`/-lowering-/.f64`
4 146×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	226
1	254	214
2	1994	214
0	8378	203

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 1 046

Calls

Call 1

Inputs
(+ (* (PI) -1/6) (+ (* 1/3 (acos (/ (* x (sqrt t)) (* z (* y 18))))) (* (PI) 1/6)))
(PI)
(+ (* 1/3 (acos (/ (* x (sqrt t)) (* z (* y 18))))) (* (PI) 1/6))
(acos (/ (* x (sqrt t)) (* z (* y 18))))
(+ (* (sqrt (PI)) (neg (* (sqrt (PI)) 1/6))) (* 1/3 (acos (* (/ (sqrt t) (* z (* y 18))) x))))
(+ (* (* (PI) 1/2) 1/3) (+ (* (sqrt (PI)) (neg (* (sqrt (PI)) 1/6))) (* 1/3 (acos (* (/ (sqrt t) (* z (* y 18))) x)))))
(neg (* (sqrt (PI)) 1/6))
(* (PI) 1/2)
(+ (* (sqrt (PI)) (neg (* (sqrt (PI)) 1/6))) (* 1/3 (acos (/ (/ (* x (* 1/18 (sqrt t))) z) y))))
(+ (* (* (PI) 1/2) 1/3) (+ (* (sqrt (PI)) (neg (* (sqrt (PI)) 1/6))) (* 1/3 (acos (/ (/ (* x (* 1/18 (sqrt t))) z) y)))))
(/ (/ (* x (* 1/18 (sqrt t))) z) y)
(+ (* (* (sqrt (PI)) -1/6) (sqrt (PI))) (+ (* 1/3 (acos (/ (* x (sqrt t)) (* z (* y 18))))) (* (PI) 1/6)))
(* (sqrt (PI)) -1/6)
(sqrt (PI))
(/ (* x (sqrt t)) (* z (* y 18)))
(* (PI) 1/6)
(* z (* y 18))
(* (/ (sqrt t) (* z (* y 18))) x)
(/ (sqrt t) (* z (* y 18)))
(/ (* x (* 1/18 (sqrt t))) z)

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

simplify721.0ms (2%)

Memory

16.0MiB live, 459.2MiB allocated

Algorithm

1×	egg-herbie

Rules

3 352×	`-lowering-.f32`
3 352×	`-lowering-.f64`
3 100×	`accelerator-lowering-fma.f32`
3 100×	`accelerator-lowering-fma.f64`
2 370×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	9376
1	116	8440
2	319	7992
3	1101	7608
4	2259	7608
5	3318	7608
6	4707	7608
7	6161	7608
8	7666	7608
0	8057	7464

Stop Event

1×	iter limit
1×	node limit

Counts

624 → 624

Calls

Call 1

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

eval1.3s (3.6%)

Memory: 27.8MiB live, 766.5MiB allocated
Compiler: Compiled 79 664 to 4 768 computations (94% saved)

prune288.0ms (0.8%)

Memory

-17.4MiB live, 703.5MiB allocated

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	2 635	2	2 637
Fresh	0	0	0
Picked	3	1	4
Done	0	3	3
Total	2 638	6	2 644

Accuracy

100.0%

Counts

2 644 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.5%	(fma.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal -1/6 binary64)) (sqrt.f64 (PI.f64)) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y #s(literal 18 binary64))) z)) (.f64 (PI.f64) #s(literal 1/6 binary64))))
	99.5%	(fma.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal -1/6 binary64)) (sqrt.f64 (PI.f64)) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (sqrt.f64 t) (.f64 z (.f64 y #s(literal 18 binary64)))) x)) (*.f64 (PI.f64) #s(literal 1/6 binary64))))
✓	97.7%	(fma.f64 (PI.f64) #s(literal 1/6 binary64) (.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))) #s(literal -1/3 binary64)))
✓	97.6%	(fma.f64 (PI.f64) #s(literal -1/6 binary64) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 z (.f64 y #s(literal 18 binary64))))) (.f64 (PI.f64) #s(literal 1/6 binary64))))
✓	98.0%	(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (.f64 x (sqrt.f64 t)) (*.f64 y #s(literal 18 binary64))) z)))
✓	98.1%	(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 y z)) (sqrt.f64 t))))

Compiler

Compiled 428 to 198 computations (53.7% saved)

regimes66.0ms (0.2%)

Memory

9.9MiB live, 168.6MiB allocated

Counts

15 → 1

Calls

Call 1

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

Outputs

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

Calls

13 calls:

8.0ms	(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))
7.0ms	z
5.0ms	(*.f64 z #s(literal 2 binary64))
5.0ms	(*.f64 y #s(literal 27 binary64))
5.0ms	y

Results

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

Compiler

Compiled 135 to 108 computations (20% saved)

regimes108.0ms (0.3%)

Memory

-1.3MiB live, 158.3MiB allocated

Counts

14 → 1

Calls

Call 1

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

Outputs

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

Calls

13 calls:

50.0ms	z
7.0ms	(/.f64 x (*.f64 y #s(literal 27 binary64)))
7.0ms	(sqrt.f64 t)
6.0ms	(acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
4.0ms	(*.f64 z #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
99.5%	1	`x`
99.5%	1	`y`
99.5%	1	`z`
99.5%	1	`t`
99.5%	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))))`
99.5%	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)))`
99.5%	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))`
99.5%	1	`(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))`
99.5%	1	`(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))`
99.5%	1	`(/.f64 x (*.f64 y #s(literal 27 binary64)))`
99.5%	1	`(*.f64 y #s(literal 27 binary64))`
99.5%	1	`(*.f64 z #s(literal 2 binary64))`
99.5%	1	`(sqrt.f64 t)`

Compiler

Compiled 135 to 108 computations (20% saved)

regimes43.0ms (0.1%)

Memory

-2.7MiB live, 118.6MiB allocated

Counts

9 → 1

Calls

Call 1

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

Calls

13 calls:

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

Results

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

Compiler

Compiled 135 to 108 computations (20% saved)

regimes33.0ms (0.1%)

Memory

-24.1MiB live, 96.1MiB allocated

Accuracy

Total -0.3b remaining (-25.9%)

Threshold costs -0.3b (-25.9%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

13 calls:

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

Results

Accuracy	Segments	Branch
98.1%	1	`x`
98.1%	1	`y`
98.1%	1	`z`
98.1%	1	`t`
98.1%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))`
98.1%	1	`(acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))`
98.1%	1	`(.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t))`
98.1%	1	`(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))`
98.1%	1	`(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))`
98.1%	1	`(/.f64 x (*.f64 y #s(literal 27 binary64)))`
98.1%	1	`(*.f64 y #s(literal 27 binary64))`
98.1%	1	`(*.f64 z #s(literal 2 binary64))`
98.1%	1	`(sqrt.f64 t)`

Compiler

Compiled 135 to 108 computations (20% saved)

simplify10.0ms (0%)

Memory

31.4MiB live, 31.4MiB allocated

Algorithm

1×	egg-herbie

Rules

44×	`*-commutative_binary64`
6×	`+-commutative_binary64`
6×	`sub-neg_binary64`
6×	`neg-sub0_binary64`
6×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	79
1	77	79
2	86	79
3	91	79
4	93	79

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness620.0ms (1.7%)

Memory

-10.0MiB live, 625.6MiB allocated

Rules

10 386×	`accelerator-lowering-fma.f32`
10 386×	`accelerator-lowering-fma.f64`
6 718×	`-lowering-.f32`
6 718×	`-lowering-.f64`
6 460×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	45	231
1	182	208
2	1240	190
0	9162	190
0	45	226
1	254	214
2	1994	214
0	8378	203
0	41	214
1	191	206
2	1385	200
0	8476	197
0	19	55
1	59	47
2	377	41
3	3741	41
0	8207	41

Stop Event

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

Compiler

Compiled 207 to 147 computations (29% saved)

preprocess92.0ms (0.3%)

Memory: 12.8MiB live, 251.5MiB allocated
Remove: (sort y z)
Compiler: Compiled 554 to 388 computations (30% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze362.0ms (1%)

sample5.5s (15.1%)

preprocess144.0ms (0.4%)

explain283.0ms (0.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify93.0ms (0.3%)

localize58.0ms (0.2%)

series29.0ms (0.1%)

rewrite647.0ms (1.8%)

simplify175.0ms (0.5%)

eval93.0ms (0.3%)

prune91.0ms (0.2%)

simplify147.0ms (0.4%)

localize160.0ms (0.4%)

series28.0ms (0.1%)

rewrite841.0ms (2.3%)

simplify444.0ms (1.2%)

eval684.0ms (1.9%)

prune391.0ms (1.1%)

simplify11.2s (30.5%)

localize311.0ms (0.8%)

series37.0ms (0.1%)

rewrite482.0ms (1.3%)

simplify390.0ms (1.1%)

eval3.1s (8.4%)

prune255.0ms (0.7%)

simplify1.6s (4.3%)

localize714.0ms (2%)

series59.0ms (0.2%)

rewrite5.0s (13.8%)

simplify721.0ms (2%)

eval1.3s (3.6%)

prune288.0ms (0.8%)

regimes66.0ms (0.2%)

regimes108.0ms (0.3%)

regimes43.0ms (0.1%)

regimes33.0ms (0.1%)

simplify10.0ms (0%)

soundness620.0ms (1.7%)

preprocess92.0ms (0.3%)

end0.0ms (0%)

Profiling