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

analyze330.0ms (0.9%)

Memory

20.4MiB live, 810.8MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 21 to 20 computations (4.8% saved)

sample5.4s (14.8%)

Memory

-40.8MiB live, 6 258.2MiB allocated

Samples

2.5s	15 849×	0	invalid
1.1s	8 256×	0	valid

Precisions

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

ival-mult: 1.5s (54.2% of total)

ival-div: 759.0ms (27.5% of total)

ival-sqrt: 239.0ms (8.7% of total)

ival-acos: 195.0ms (7.1% of total)

exact: 42.0ms (1.5% of total)

ival-true: 19.0ms (0.7% of total)

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

Bogosity

preprocess158.0ms (0.4%)

Memory

7.1MiB live, 127.5MiB allocated

Algorithm

2×	egg-herbie

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	92	263
1	281	227
2	988	197
3	3692	197
4	4350	197
5	5170	197
6	6243	197
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))))

Call 2

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

Outputs
(* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))))
(* 1/3 (acos (* (* 1/18 (/ (/ x y) z)) (sqrt t))))
(* (/ 1 3) (acos (* (/ (* 3 (/ (neg x) (* y 27))) (* z 2)) (sqrt t))))
(* 1/3 (acos (* (sqrt t) (* -1/18 (/ (/ x y) z)))))
(* (/ 1 3) (acos (* (/ (* 3 (/ x (* (neg y) 27))) (* z 2)) (sqrt t))))
(* 1/3 (acos (* (sqrt t) (* -1/18 (/ (/ x y) z)))))
(* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* (neg z) 2)) (sqrt t))))
(* 1/3 (acos (* (sqrt t) (* -1/18 (/ (/ x y) z)))))
(* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt (neg t)))))
(* 1/3 (acos (* (* 1/18 (/ (/ x y) z)) (sqrt (neg t)))))
(neg (* (/ 1 3) (acos (* (/ (* 3 (/ (neg x) (* y 27))) (* z 2)) (sqrt t)))))
(* (acos (* (sqrt t) (* -1/18 (/ (/ x y) z)))) -1/3)
(neg (* (/ 1 3) (acos (* (/ (* 3 (/ x (* (neg y) 27))) (* z 2)) (sqrt t)))))
(* (acos (* (sqrt t) (* -1/18 (/ (/ x y) z)))) -1/3)
(neg (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* (neg z) 2)) (sqrt t)))))
(* (acos (* (sqrt t) (* -1/18 (/ (/ x y) z)))) -1/3)
(neg (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt (neg t))))))
(* (acos (* (* 1/18 (/ (/ x y) z)) (sqrt (neg t)))) -1/3)
(* (/ 1 3) (acos (* (/ (* 3 (/ y (* x 27))) (* z 2)) (sqrt t))))
(* 1/3 (acos (* (sqrt t) (* 1/18 (/ (/ y x) z)))))
(* (/ 1 3) (acos (* (/ (* 3 (/ z (* y 27))) (* x 2)) (sqrt t))))
(* 1/3 (acos (* (sqrt t) (* 1/18 (/ (/ z y) x)))))
(* (/ 1 3) (acos (* (/ (* 3 (/ t (* y 27))) (* z 2)) (sqrt x))))
(* 1/3 (acos (* (* 1/18 (/ (/ t y) z)) (sqrt x))))
(* (/ 1 3) (acos (* (/ (* 3 (/ x (* z 27))) (* y 2)) (sqrt t))))
(* 1/3 (acos (* (* 1/18 (/ (/ x y) z)) (sqrt t))))
(* (/ 1 3) (acos (* (/ (* 3 (/ x (* t 27))) (* z 2)) (sqrt y))))
(* 1/3 (acos (* (* 1/18 (/ (/ x t) z)) (sqrt y))))
(* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* t 2)) (sqrt z))))
(* 1/3 (acos (* (* 1/18 (/ (/ x y) t)) (sqrt z))))

Symmetry

(sort y z)

explain227.0ms (0.6%)

Memory

-9.4MiB live, 340.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
25	1	(9.876956520561572e-68 -4.147659940067816e+277 -3.198935095729971e-24 5.152938063277142e+159)	3	(1.9083854897899947e-25 -3.042205529998913e+290 2.9242808152904548e-300 6.969196968312009e-290)	`(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))`
21	0	-	2	(1.1075642869572176e-174 -3.536208536003544e+202 -1.3573637566620571e-64 5.311387072123419e+271)	`(.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	-	0	-	`t`
0	0	-	0	-	`#s(literal 3 binary64)`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))`
0	0	-	0	-	`(*.f64 y #s(literal 27 binary64))`
0	0	-	0	-	`y`
0	0	-	0	-	`(/.f64 x (*.f64 y #s(literal 27 binary64)))`
0	0	-	0	-	`#s(literal 27 binary64)`
0	0	-	0	-	`z`
0	0	-	0	-	`(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))`
0	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	-	0	-	`#s(literal 2 binary64)`
0	0	-	0	-	`(*.f64 z #s(literal 2 binary64))`
0	0	-	0	-	`(sqrt.f64 t)`
0	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	-	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	69
↳	`(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))`	underflow	69
`*.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**	19	0
`/.f64`	`(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))`	o/n	1	0
↳	`(/.f64 x (*.f64 y #s(literal 27 binary64)))`	overflow	1
↳	`(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))`	overflow	1

Confusion

	Predicted +	Predicted -
+	1	0
-	41	214

Precision

0.023809523809523808

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	41	0	214

Precision?

0.023809523809523808

Recall?

1.0

Freqs

test

number	freq
0	214
1	42

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

84.0ms

512×

valid

Compiler

Compiled 230 to 76 computations (67% saved)

Precisions

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

ival-mult: 37.0ms (63.5% of total)

ival-div: 11.0ms (18.9% of total)

ival-acos: 5.0ms (8.6% of total)

ival-sqrt: 4.0ms (6.9% of total)

exact: 1.0ms (1.7% of total)

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

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 4 to 4 computations (0% saved)

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

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

Status

Accuracy

Program

▶

98.1%

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

Compiler

Compiled 23 to 18 computations (21.7% saved)

simplify101.0ms (0.3%)

Memory

-22.3MiB live, 89.0MiB 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

localize51.0ms (0.1%)

Memory

-11.1MiB live, 102.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))
✓	accuracy	98.5%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
✓	accuracy	93.6%	(.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	91.3%	(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))

Samples

31.0ms

256×

valid

Compiler

Compiled 92 to 20 computations (78.3% saved)

Precisions

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

ival-mult: 8.0ms (40.4% of total)

ival-div: 7.0ms (35.4% of total)

ival-sqrt: 2.0ms (10.1% of total)

ival-acos: 2.0ms (10.1% of total)

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

exact: 0.0ms (0% of total)

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

series26.0ms (0.1%)

Memory

30.2MiB live, 70.4MiB allocated

Counts

5 → 156

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))>

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

Calls

39 calls:

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

rewrite296.0ms (0.8%)

Memory

-0.9MiB live, 471.8MiB 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	50
1	59	42
2	377	36
3	3741	36
0	8207	36

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 518

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))

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

simplify235.0ms (0.6%)

Memory

4.1MiB live, 314.5MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

Calls

Call 1

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

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

eval216.0ms (0.6%)

Memory: 8.4MiB live, 192.7MiB allocated
Compiler: Compiled 12 388 to 2 566 computations (79.3% saved)

prune105.0ms (0.3%)

Memory

-4.3MiB live, 233.1MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

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

Accuracy

98.5%

Counts

675 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.9%	(/.f64 (.f64 (-.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 3 binary64) (sqrt.f64 t))) (.f64 z (.f64 #s(literal 54 binary64) y)))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 3 binary64) (sqrt.f64 t))) (.f64 z (.f64 #s(literal 54 binary64) y)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 3 binary64) (sqrt.f64 t))) (.f64 z (.f64 #s(literal 54 binary64) y))))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
▶	96.9%	(/.f64 (.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 3 binary64) (sqrt.f64 t))) (.f64 z (.f64 #s(literal 54 binary64) y)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 3 binary64) (sqrt.f64 t))) (.f64 z (*.f64 #s(literal 54 binary64) y))))))
▶	98.0%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z))) (sqrt.f64 t))))
▶	96.9%	(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))))
▶	98.1%	(.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 332 to 196 computations (41% saved)

simplify261.0ms (0.7%)

Memory

44.6MiB live, 434.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 3 binary64) (sqrt.f64 t))) (.f64 z (*.f64 #s(literal 54 binary64) y)))) #s(literal 3 binary64)))
✓	cost-diff	0	(/.f64 (.f64 (-.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 3 binary64) (sqrt.f64 t))) (.f64 z (.f64 #s(literal 54 binary64) y)))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 3 binary64) (sqrt.f64 t))) (.f64 z (.f64 #s(literal 54 binary64) y)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 3 binary64) (sqrt.f64 t))) (.f64 z (.f64 #s(literal 54 binary64) y))))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
✓	cost-diff	128	(.f64 (-.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 3 binary64) (sqrt.f64 t))) (.f64 z (.f64 #s(literal 54 binary64) y)))) #s(literal 3 binary64))) #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	0	(-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 3 binary64) (sqrt.f64 t))) (.f64 z (.f64 #s(literal 54 binary64) y)))) #s(literal 2 binary64)))
✓	cost-diff	0	(/.f64 (.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 3 binary64) (sqrt.f64 t))) (.f64 z (.f64 #s(literal 54 binary64) y)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 3 binary64) (sqrt.f64 t))) (.f64 z (*.f64 #s(literal 54 binary64) y))))))
✓	cost-diff	128	(.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 3 binary64) (sqrt.f64 t))) (.f64 z (*.f64 #s(literal 54 binary64) y)))) #s(literal 2 binary64))) #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	0	(.f64 (.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) (sqrt.f64 t))
✓	cost-diff	0	(acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) (sqrt.f64 t)))
✓	cost-diff	0	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z))) (sqrt.f64 t))))
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
✓	cost-diff	0	(.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t)))
✓	cost-diff	0	(/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z))
✓	cost-diff	0	(acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z)))
✓	cost-diff	0	(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))))
✓	cost-diff	0	(acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
✓	cost-diff	0	(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
✓	cost-diff	320	(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))
✓	cost-diff	704	(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))

Rules

4 112×	`-lowering-.f32`
4 112×	`-lowering-.f64`
3 932×	`accelerator-lowering-fma.f32`
3 932×	`accelerator-lowering-fma.f64`
1 984×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	658
1	142	596
2	414	570
3	1165	570
4	2796	570
5	3421	570
6	4052	570
7	4996	570
8	6864	570
0	8114	559

Stop Event

1×	iter limit
1×	node limit

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) (PI)) 1/4) (pow (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) 2)) 1/3) (+ (* (PI) 1/2) (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y))))))
(* (- (* (* (PI) (PI)) 1/4) (pow (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) 2)) 1/3)
(- (* (* (PI) (PI)) 1/4) (pow (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) 2))
(* (* (PI) (PI)) 1/4)
(* (PI) (PI))
(PI)
1/4
(pow (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) 2)
(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
2
1/3
(+ (* (PI) 1/2) (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))))
1/2
(/ (* (- (* (* (PI) (* (PI) (PI))) 1/8) (pow (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) 3)) 1/3) (+ (* (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) (+ (* (PI) 1/2) (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))))) (* (* (PI) (PI)) 1/4)))
(* (- (* (* (PI) (* (PI) (PI))) 1/8) (pow (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) 3)) 1/3)
(- (* (* (PI) (* (PI) (PI))) 1/8) (pow (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) 3))
(* (* (PI) (* (PI) (PI))) 1/8)
(* (PI) (* (PI) (PI)))
(PI)
(* (PI) (PI))
1/8
(pow (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) 3)
(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
1/3
(+ (* (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) (+ (* (PI) 1/2) (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))))) (* (* (PI) (PI)) 1/4))
(+ (* (PI) 1/2) (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))))
1/2
(* (* (PI) (PI)) 1/4)
1/4

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) (PI)) 1/4) (pow (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) 2)) 1/3) (+ (* (PI) 1/2) (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y))))))
(/.f64 (fma.f64 (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))) #s(literal 2 binary64)) #s(literal -1/3 binary64) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/12 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z)))))
(* (- (* (* (PI) (PI)) 1/4) (pow (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) 2)) 1/3)
(fma.f64 (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))) #s(literal 2 binary64)) #s(literal -1/3 binary64) (.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/12 binary64))))
(- (* (* (PI) (PI)) 1/4) (pow (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) 2))
(-.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)))
(* (* (PI) (PI)) 1/4)
(.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)))
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
(PI)
(PI.f64)
1/4
#s(literal 1/4 binary64)
(pow (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) 2)
(pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64))
(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 x (.f64 #s(literal 3 binary64) (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 (.f64 y z) #s(literal 54 binary64))
z
(* 54 y)
(*.f64 y #s(literal 54 binary64))
54
#s(literal 54 binary64)
y
2
#s(literal 2 binary64)
1/3
#s(literal 1/3 binary64)
(+ (* (PI) 1/2) (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))))
1/2
#s(literal 1/2 binary64)
(/ (* (- (* (* (PI) (* (PI) (PI))) 1/8) (pow (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) 3)) 1/3) (+ (* (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) (+ (* (PI) 1/2) (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))))) (* (* (PI) (PI)) 1/4)))
(/.f64 (fma.f64 (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))) #s(literal 3 binary64)) #s(literal -1/3 binary64) (.f64 (PI.f64) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/24 binary64))))) (fma.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z)))) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)))))
(* (- (* (* (PI) (* (PI) (PI))) 1/8) (pow (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) 3)) 1/3)
(fma.f64 (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))) #s(literal 3 binary64)) #s(literal -1/3 binary64) (.f64 (PI.f64) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/24 binary64)))))
(- (* (* (PI) (* (PI) (PI))) 1/8) (pow (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) 3))
(-.f64 (.f64 (PI.f64) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/8 binary64)))) (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))) #s(literal 3 binary64)))
(* (* (PI) (* (PI) (PI))) 1/8)
(.f64 (PI.f64) (.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/8 binary64))))
(* (PI) (* (PI) (PI)))
(.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))
(PI)
(PI.f64)
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
1/8
#s(literal 1/8 binary64)
(pow (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) 3)
(pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 3 binary64))
(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 x (.f64 #s(literal 3 binary64) (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 (.f64 y z) #s(literal 54 binary64))
z
(* 54 y)
(*.f64 y #s(literal 54 binary64))
54
#s(literal 54 binary64)
y
1/3
#s(literal 1/3 binary64)
(+ (* (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) (+ (* (PI) 1/2) (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))))) (* (* (PI) (PI)) 1/4))
(fma.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z)))) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))))
(+ (* (PI) 1/2) (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))))
1/2
#s(literal 1/2 binary64)
(* (* (PI) (PI)) 1/4)
(.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)))
1/4
#s(literal 1/4 binary64)

localize413.0ms (1.1%)

Memory

-24.8MiB live, 449.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(*.f64 #s(literal 3 binary64) (sqrt.f64 t))
✓	accuracy	98.4%	(.f64 (-.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 3 binary64) (sqrt.f64 t))) (.f64 z (.f64 #s(literal 54 binary64) y)))) #s(literal 3 binary64))) #s(literal 1/3 binary64))
✓	accuracy	98.4%	(.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))
✓	accuracy	88.4%	(/.f64 (.f64 x (.f64 #s(literal 3 binary64) (sqrt.f64 t))) (.f64 z (.f64 #s(literal 54 binary64) y)))
✓	accuracy	99.7%	(.f64 x (.f64 #s(literal 3 binary64) (sqrt.f64 t)))
✓	accuracy	99.6%	(*.f64 #s(literal 3 binary64) (sqrt.f64 t))
✓	accuracy	98.5%	(.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 3 binary64) (sqrt.f64 t))) (.f64 z (*.f64 #s(literal 54 binary64) y)))) #s(literal 2 binary64))) #s(literal 1/3 binary64))
✓	accuracy	88.4%	(/.f64 (.f64 x (.f64 #s(literal 3 binary64) (sqrt.f64 t))) (.f64 z (.f64 #s(literal 54 binary64) y)))
✓	accuracy	99.7%	(.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	94.2%	(/.f64 x (*.f64 y z))
✓	accuracy	93.6%	(.f64 (.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) (sqrt.f64 t))
✓	accuracy	99.6%	(*.f64 x (sqrt.f64 t))
✓	accuracy	99.5%	(.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t)))
✓	accuracy	98.5%	(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))))
✓	accuracy	88.3%	(/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z))
✓	accuracy	99.7%	(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))
✓	accuracy	98.5%	(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
✓	accuracy	93.6%	(.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	91.3%	(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))

Samples

120.0ms

256×

valid

Compiler

Compiled 635 to 60 computations (90.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 78.0ms

ival-mult: 34.0ms (43.5% of total)

ival-div: 15.0ms (19.2% of total)

const: 7.0ms (9% of total)

ival-acos: 6.0ms (7.7% of total)

ival-pow: 4.0ms (5.1% of total)

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

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

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

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

ival-pow2: 2.0ms (2.6% of total)

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

exact: 1.0ms (1.3% of total)

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

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

series101.0ms (0.3%)

Memory

14.6MiB live, 210.0MiB allocated

Counts

26 → 984

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 (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))>
#<alt (* (- (* (* (PI) (PI)) 1/4) (pow (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) 2)) 1/3)>
#<alt (/ (* (- (* (* (PI) (PI)) 1/4) (pow (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) 2)) 1/3) (+ (* (PI) 1/2) (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y))))))>
#<alt (- (* (* (PI) (PI)) 1/4) (pow (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) 2))>
#<alt (* (- (* (* (PI) (* (PI) (PI))) 1/8) (pow (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) 3)) 1/3)>
#<alt (/ (* (- (* (* (PI) (* (PI) (PI))) 1/8) (pow (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) 3)) 1/3) (+ (* (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) (+ (* (PI) 1/2) (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))))) (* (* (PI) (PI)) 1/4)))>
#<alt (- (* (* (PI) (* (PI) (PI))) 1/8) (pow (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) 3))>
#<alt (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))>
#<alt (* x (sqrt t))>
#<alt (/ x (* y z))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 3 (sqrt t))>
#<alt (* x (* 3 (sqrt t)))>
#<alt (* (PI) (* (PI) (PI)))>

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))))))>
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#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* 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 (* (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 (* 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)))>
#<alt (* 3 (* (sqrt t) x))>
#<alt (* 3 (* (sqrt t) x))>
#<alt (* 3 (* (sqrt t) x))>
#<alt (* 3 (* (sqrt t) x))>
#<alt (* 3 (* (sqrt t) x))>
#<alt (* 3 (* (sqrt t) x))>
#<alt (* 3 (* (sqrt t) x))>
#<alt (* 3 (* (sqrt t) x))>
#<alt (* 3 (* (sqrt t) x))>
#<alt (* 3 (* (sqrt t) x))>
#<alt (* 3 (* (sqrt t) x))>
#<alt (* 3 (* (sqrt t) x))>
#<alt (* 3 (* (sqrt t) x))>
#<alt (* 3 (* (sqrt t) x))>
#<alt (* 3 (* (sqrt t) x))>
#<alt (* 3 (* (sqrt t) x))>
#<alt (* 3 (* (sqrt t) x))>
#<alt (* 3 (* (sqrt t) x))>
#<alt (* 3 (* (sqrt t) x))>
#<alt (* 3 (* (sqrt t) x))>
#<alt (* -3 (* (sqrt t) (* x (pow (sqrt -1) 2))))>
#<alt (* -3 (* (sqrt t) (* x (pow (sqrt -1) 2))))>
#<alt (* -3 (* (sqrt t) (* x (pow (sqrt -1) 2))))>
#<alt (* -3 (* (sqrt t) (* x (pow (sqrt -1) 2))))>

Calls

246 calls:

Time	Variable		Point	Expression
9.0ms	z	@	0	(* (- (* (* (PI) (* (PI) (PI))) 1/8) (pow (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) 3)) 1/3)
9.0ms	x	@	0	(* (- (* (* (PI) (* (PI) (PI))) 1/8) (pow (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) 3)) 1/3)
3.0ms	x	@	0	(* (- (* (* (PI) (PI)) 1/4) (pow (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) 2)) 1/3)
3.0ms	x	@	-inf	(* 1/3 (acos (/ (* 1/18 (* x (sqrt t))) (* y z))))
3.0ms	z	@	-inf	(/ (* (- (* (* (PI) (* (PI) (PI))) 1/8) (pow (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) 3)) 1/3) (+ (* (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) (+ (* (PI) 1/2) (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))))) (* (* (PI) (PI)) 1/4)))

rewrite622.0ms (1.7%)

Memory

-23.3MiB live, 889.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 876×	`/-lowering-/.f32`
4 876×	`/-lowering-/.f64`
4 828×	`accelerator-lowering-fma.f32`
4 828×	`accelerator-lowering-fma.f64`
4 646×	`-lowering-.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	58	316
1	267	286
2	2037	266
0	8542	266

Stop Event

1×	iter limit
1×	node limit

Counts

26 → 2 148

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))
(/ (* x (* 3 (sqrt t))) (* z (* 54 y)))
(* (- (* (* (PI) (PI)) 1/4) (pow (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) 2)) 1/3)
(/ (* (- (* (* (PI) (PI)) 1/4) (pow (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) 2)) 1/3) (+ (* (PI) 1/2) (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y))))))
(- (* (* (PI) (PI)) 1/4) (pow (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) 2))
(* (- (* (* (PI) (* (PI) (PI))) 1/8) (pow (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) 3)) 1/3)
(/ (* (- (* (* (PI) (* (PI) (PI))) 1/8) (pow (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) 3)) 1/3) (+ (* (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) (+ (* (PI) 1/2) (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))))) (* (* (PI) (PI)) 1/4)))
(- (* (* (PI) (* (PI) (PI))) 1/8) (pow (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) 3))
(* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))
(* x (sqrt t))
(/ x (* y z))
(* 1/18 (/ x (* y z)))
(* 3 (sqrt t))
(* x (* 3 (sqrt t)))
(* (PI) (* (PI) (PI)))

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 y z) (*.f64 x #s(literal 1/18 binary64)))) #s(literal -1 binary64)))
(-.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))))
(/.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 y z) (.f64 x #s(literal 1/18 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (.f64 y z) (.f64 x #s(literal 1/18 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 y z) x) #s(literal 1/18 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 (*.f64 x #s(literal 1/18 binary64)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 (*.f64 x #s(literal 1/18 binary64)) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 z (neg.f64 y)) (.f64 #s(literal 1/18 binary64) (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 #s(literal 1/18 binary64) (/.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 z (neg.f64 y)) (.f64 (neg.f64 x) #s(literal 1/18 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 z #s(literal 2 binary64)) (.f64 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 (*.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 (*.f64 (/.f64 x y) #s(literal 1/9 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 z #s(literal 2 binary64)) (.f64 (*.f64 (/.f64 x y) #s(literal 1/9 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 y #s(literal 27 binary64)) (.f64 (*.f64 #s(literal 3 binary64) x) (/.f64 #s(literal 1/2 binary64) z))))
(/.f64 #s(literal 1 binary64) (/.f64 z (.f64 #s(literal 3 binary64) (/.f64 x (.f64 #s(literal 2 binary64) (*.f64 y #s(literal 27 binary64)))))))
(/.f64 (.f64 (/.f64 x y) #s(literal -1/9 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 #s(literal 1/18 binary64)) (.f64 y z))
(/.f64 (/.f64 (.f64 #s(literal 3 binary64) x) (.f64 z (*.f64 y #s(literal 27 binary64)))) #s(literal 2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 y z) (.f64 x #s(literal 1/18 binary64)))))
(/.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 (neg.f64 (.f64 (/.f64 x y) #s(literal -1/9 binary64))) (neg.f64 (.f64 z #s(literal -2 binary64))))
(/.f64 (neg.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) (neg.f64 (/.f64 (*.f64 y z) x)))
(/.f64 (neg.f64 (.f64 x #s(literal 1/18 binary64))) (.f64 z (neg.f64 y)))
(/.f64 (neg.f64 (.f64 #s(literal 3 binary64) x)) (neg.f64 (.f64 (.f64 z #s(literal 2 binary64)) (.f64 y #s(literal 27 binary64)))))
(/.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal 1/9 binary64)) #s(literal 2 binary64)) z)
(/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) y) z)
(/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) y)
(/.f64 (.f64 (.f64 (/.f64 x y) #s(literal 1/9 binary64)) #s(literal 1 binary64)) (*.f64 z #s(literal 2 binary64)))
(/.f64 (.f64 #s(literal 1/18 binary64) (neg.f64 x)) (.f64 z (neg.f64 y)))
(/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x y)) z)
(/.f64 (.f64 (.f64 #s(literal 3 binary64) x) (/.f64 #s(literal 1/2 binary64) z)) (*.f64 y #s(literal 27 binary64)))
(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 #s(literal 2 binary64) (*.f64 y #s(literal 27 binary64))))) z)
(/.f64 (.f64 (neg.f64 x) #s(literal 1/18 binary64)) (.f64 z (neg.f64 y)))
(/.f64 (neg.f64 (neg.f64 (.f64 x #s(literal 1/18 binary64)))) (neg.f64 (.f64 z (neg.f64 y))))
(/.f64 (neg.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) y)) (neg.f64 z))
(/.f64 (neg.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z)) (neg.f64 y))
(/.f64 (neg.f64 (.f64 #s(literal 1/18 binary64) (neg.f64 x))) (neg.f64 (.f64 z (neg.f64 y))))
(/.f64 (neg.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x y))) (neg.f64 z))
(/.f64 (neg.f64 (.f64 (neg.f64 x) #s(literal 1/18 binary64))) (neg.f64 (.f64 z (neg.f64 y))))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))) (neg.f64 (.f64 (.f64 y #s(literal 27 binary64)) (*.f64 z #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (.f64 (/.f64 x y) #s(literal -1/9 binary64)))) (neg.f64 (neg.f64 (.f64 z #s(literal -2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (.f64 #s(literal 3 binary64) x) (.f64 z (*.f64 y #s(literal 27 binary64)))))) #s(literal 2 binary64))
(/.f64 (neg.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal 1/9 binary64)) #s(literal 2 binary64))) (neg.f64 z))
(/.f64 (neg.f64 (.f64 (.f64 (/.f64 x y) #s(literal 1/9 binary64)) #s(literal 1 binary64))) (*.f64 z #s(literal -2 binary64)))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 3 binary64) x) (/.f64 #s(literal 1/2 binary64) z))) (*.f64 y #s(literal -27 binary64)))
(/.f64 (neg.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 #s(literal 2 binary64) (*.f64 y #s(literal 27 binary64)))))) (neg.f64 z))
(pow.f64 (/.f64 (.f64 y z) (.f64 x #s(literal 1/18 binary64))) #s(literal -1 binary64))
(.f64 #s(literal 3 binary64) (.f64 (/.f64 x (*.f64 y z)) #s(literal 1/54 binary64)))
(.f64 x (.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 1/18 binary64)))
(.f64 (/.f64 x (.f64 y #s(literal 27 binary64))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/2 binary64) z)))
(.f64 (/.f64 x (.f64 y #s(literal 27 binary64))) (/.f64 #s(literal 3 binary64) (*.f64 z #s(literal 2 binary64))))
(.f64 (.f64 (/.f64 x y) #s(literal 1/9 binary64)) (/.f64 #s(literal 1/2 binary64) z))
(.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 x #s(literal 1/18 binary64)) (*.f64 y z)))
(.f64 (/.f64 x (.f64 y z)) #s(literal 1/18 binary64))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 3 binary64) x) (.f64 z (.f64 y #s(literal 27 binary64)))))
(.f64 (.f64 (/.f64 x y) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 z #s(literal -2 binary64))))
(*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 x z))
(.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 x (.f64 #s(literal 2 binary64) (*.f64 y #s(literal 27 binary64)))))
(.f64 (/.f64 x (.f64 #s(literal 2 binary64) (*.f64 y #s(literal 27 binary64)))) (/.f64 #s(literal 3 binary64) z))
(*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))
(.f64 (/.f64 x z) (/.f64 (.f64 (/.f64 #s(literal 1/27 binary64) y) #s(literal 3 binary64)) #s(literal 2 binary64)))
(.f64 (/.f64 #s(literal 1/2 binary64) z) (.f64 (/.f64 x y) #s(literal 1/9 binary64)))
(.f64 #s(literal 3/2 binary64) (/.f64 (/.f64 x (.f64 y #s(literal 27 binary64))) z))
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(.f64 (/.f64 (.f64 #s(literal 3 binary64) x) y) (/.f64 (/.f64 #s(literal 1/2 binary64) z) #s(literal 27 binary64)))
(.f64 (/.f64 (.f64 #s(literal 3 binary64) x) #s(literal 27 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) z) y))
(.f64 (/.f64 #s(literal 3 binary64) (.f64 z #s(literal 2 binary64))) (/.f64 x (*.f64 y #s(literal 27 binary64))))
(.f64 (pow.f64 (/.f64 z (/.f64 x (.f64 y #s(literal 27 binary64)))) #s(literal -1 binary64)) #s(literal 3/2 binary64))
(.f64 (pow.f64 (.f64 (/.f64 z x) #s(literal 2/3 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1/27 binary64) y))
(.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (/.f64 x y) #s(literal 1/9 binary64)) (neg.f64 z)))
(*.f64 (/.f64 #s(literal 1/18 binary64) (neg.f64 y)) (/.f64 (neg.f64 x) z))
(*.f64 (/.f64 #s(literal 1/18 binary64) (neg.f64 z)) (/.f64 (neg.f64 x) y))
(.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (.f64 (/.f64 x y) #s(literal 1/9 binary64)) #s(literal -2 binary64)))
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal 1/18 binary64) (neg.f64 z)))
(*.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 x (.f64 y #s(literal 27 binary64))) #s(literal -2 binary64)) (/.f64 #s(literal -3 binary64) z))
(.f64 (/.f64 (/.f64 x (.f64 y #s(literal 27 binary64))) (neg.f64 z)) #s(literal -3/2 binary64))
(.f64 #s(literal -3/2 binary64) (/.f64 (/.f64 x (.f64 y #s(literal 27 binary64))) (neg.f64 z)))
(.f64 #s(literal -3/2 binary64) (/.f64 (neg.f64 (/.f64 x (.f64 y #s(literal 27 binary64)))) z))
(.f64 (/.f64 #s(literal 3 binary64) (neg.f64 z)) (/.f64 (neg.f64 (/.f64 x (.f64 y #s(literal 27 binary64)))) #s(literal 2 binary64)))
(.f64 (/.f64 (/.f64 x (.f64 y #s(literal 27 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -3 binary64) (*.f64 z #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1/27 binary64) y) z))
(*.f64 (/.f64 (/.f64 #s(literal 3 binary64) y) z) (/.f64 (/.f64 x #s(literal 27 binary64)) #s(literal 2 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 3 binary64) y) #s(literal 2 binary64)) (/.f64 (/.f64 x #s(literal 27 binary64)) z))
(*.f64 (/.f64 #s(literal 1/9 binary64) z) (/.f64 (/.f64 x y) #s(literal 2 binary64)))
(.f64 (/.f64 (neg.f64 (/.f64 x (.f64 y #s(literal 27 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) (neg.f64 z)))
(.f64 (/.f64 (neg.f64 (/.f64 x (.f64 y #s(literal 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 x (.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 3 binary64) (*.f64 y #s(literal 27 binary64))))
(.f64 (/.f64 (neg.f64 (/.f64 x (.f64 y #s(literal 27 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 3 binary64) (*.f64 z #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (sqrt.f64 t))
(*.f64 (sqrt.f64 t) #s(literal 3 binary64))
(.f64 #s(literal 3 binary64) (.f64 x (sqrt.f64 t)))
(.f64 x (.f64 #s(literal 3 binary64) (sqrt.f64 t)))
(.f64 (sqrt.f64 t) (.f64 #s(literal 3 binary64) x))
(.f64 (.f64 x (sqrt.f64 t)) #s(literal 3 binary64))
(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 t)) x)
(.f64 (.f64 #s(literal 3 binary64) x) (sqrt.f64 t))
(exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)))
(exp.f64 (+.f64 (log.f64 (PI.f64)) (*.f64 (log.f64 (PI.f64)) #s(literal 2 binary64))))
(exp.f64 (+.f64 (log.f64 (PI.f64)) (log.f64 (*.f64 (PI.f64) (PI.f64)))))
(exp.f64 (fma.f64 (log.f64 (PI.f64)) #s(literal 2 binary64) (log.f64 (PI.f64))))
(exp.f64 (+.f64 (log.f64 (*.f64 (PI.f64) (PI.f64))) (log.f64 (PI.f64))))
(cbrt.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))))))
(pow.f64 (PI.f64) #s(literal 3 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 3/2 binary64))
(pow.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 9 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 6 binary64))
(pow.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))) #s(literal 2 binary64))
(.f64 #s(literal 1 binary64) (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))
(.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))
(.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))
(.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1 binary64))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64)))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))))
(.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64))) (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))
(.f64 (.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(.f64 (.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))

simplify588.0ms (1.6%)

Memory

2.8MiB live, 796.2MiB allocated

Algorithm

1×	egg-herbie

Rules

5 692×	`accelerator-lowering-fma.f32`
5 692×	`accelerator-lowering-fma.f64`
4 902×	`-lowering-.f32`
4 902×	`-lowering-.f64`
1 494×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	78	15168
1	186	14928
2	526	14868
3	1617	14868
4	3366	14868
5	6222	14868
0	8065	14532

Stop Event

1×	iter limit
1×	node limit

Counts

984 → 984

Calls

Call 1

Inputs
(* 1/18 (/ x (* y z)))
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(* 1/18 (/ x (* y z)))
(* 1/9 (/ x y))
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(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (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)))))
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(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
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(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
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(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(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)))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
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(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
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(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
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(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
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(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
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(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
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(* 1/18 (* (sqrt t) (/ x (* y z))))
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(* 1/18 (* (sqrt t) (/ x (* y z))))
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(* 1/18 (* (sqrt t) (/ x (* 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 (* (sqrt t) (/ x (* y z))))
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(* 1/18 (* (sqrt t) (/ x (* y z))))
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(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
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(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* (sqrt t) x)
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(* (sqrt t) x)
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(* -1 (* (sqrt t) (* x (pow (sqrt -1) 2))))
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(/ x (* y z))
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(* 1/18 (/ x (* y z)))
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(* 3 (sqrt t))
(* 3 (sqrt t))
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(* -3 (* (sqrt t) (* x (pow (sqrt -1) 2))))
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Outputs
(* 1/18 (/ x (* y z)))
(.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))
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(* 1/18 (/ x (* y z)))
(.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))
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(/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* 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))
(* (sqrt t) x)
(*.f64 x (sqrt.f64 t))
(* (sqrt t) x)
(*.f64 x (sqrt.f64 t))
(* (sqrt t) x)
(*.f64 x (sqrt.f64 t))
(* (sqrt t) x)
(*.f64 x (sqrt.f64 t))
(* (sqrt t) x)
(*.f64 x (sqrt.f64 t))
(* (sqrt t) x)
(*.f64 x (sqrt.f64 t))
(* (sqrt t) x)
(*.f64 x (sqrt.f64 t))
(* (sqrt t) x)
(*.f64 x (sqrt.f64 t))
(* (sqrt t) x)
(*.f64 x (sqrt.f64 t))
(* (sqrt t) x)
(*.f64 x (sqrt.f64 t))
(* (sqrt t) x)
(*.f64 x (sqrt.f64 t))
(* (sqrt t) x)
(*.f64 x (sqrt.f64 t))
(* (sqrt t) x)
(*.f64 x (sqrt.f64 t))
(* (sqrt t) x)
(*.f64 x (sqrt.f64 t))
(* (sqrt t) x)
(*.f64 x (sqrt.f64 t))
(* (sqrt t) x)
(*.f64 x (sqrt.f64 t))
(* (sqrt t) x)
(*.f64 x (sqrt.f64 t))
(* (sqrt t) x)
(*.f64 x (sqrt.f64 t))
(* (sqrt t) x)
(*.f64 x (sqrt.f64 t))
(* (sqrt t) x)
(*.f64 x (sqrt.f64 t))
(* -1 (* (sqrt t) (* x (pow (sqrt -1) 2))))
(*.f64 x (sqrt.f64 t))
(* -1 (* (sqrt t) (* x (pow (sqrt -1) 2))))
(*.f64 x (sqrt.f64 t))
(* -1 (* (sqrt t) (* x (pow (sqrt -1) 2))))
(*.f64 x (sqrt.f64 t))
(* -1 (* (sqrt t) (* x (pow (sqrt -1) 2))))
(*.f64 x (sqrt.f64 t))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.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)))
(* 1/18 (/ x (* y z)))
(.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))
(* 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))
(* 3 (* (sqrt t) x))
(.f64 (.f64 x (sqrt.f64 t)) #s(literal 3 binary64))
(* 3 (* (sqrt t) x))
(.f64 (.f64 x (sqrt.f64 t)) #s(literal 3 binary64))
(* 3 (* (sqrt t) x))
(.f64 (.f64 x (sqrt.f64 t)) #s(literal 3 binary64))
(* 3 (* (sqrt t) x))
(.f64 (.f64 x (sqrt.f64 t)) #s(literal 3 binary64))
(* 3 (* (sqrt t) x))
(.f64 (.f64 x (sqrt.f64 t)) #s(literal 3 binary64))
(* 3 (* (sqrt t) x))
(.f64 (.f64 x (sqrt.f64 t)) #s(literal 3 binary64))
(* 3 (* (sqrt t) x))
(.f64 (.f64 x (sqrt.f64 t)) #s(literal 3 binary64))
(* 3 (* (sqrt t) x))
(.f64 (.f64 x (sqrt.f64 t)) #s(literal 3 binary64))
(* 3 (* (sqrt t) x))
(.f64 (.f64 x (sqrt.f64 t)) #s(literal 3 binary64))
(* 3 (* (sqrt t) x))
(.f64 (.f64 x (sqrt.f64 t)) #s(literal 3 binary64))
(* 3 (* (sqrt t) x))
(.f64 (.f64 x (sqrt.f64 t)) #s(literal 3 binary64))
(* 3 (* (sqrt t) x))
(.f64 (.f64 x (sqrt.f64 t)) #s(literal 3 binary64))
(* 3 (* (sqrt t) x))
(.f64 (.f64 x (sqrt.f64 t)) #s(literal 3 binary64))
(* 3 (* (sqrt t) x))
(.f64 (.f64 x (sqrt.f64 t)) #s(literal 3 binary64))
(* 3 (* (sqrt t) x))
(.f64 (.f64 x (sqrt.f64 t)) #s(literal 3 binary64))
(* 3 (* (sqrt t) x))
(.f64 (.f64 x (sqrt.f64 t)) #s(literal 3 binary64))
(* 3 (* (sqrt t) x))
(.f64 (.f64 x (sqrt.f64 t)) #s(literal 3 binary64))
(* 3 (* (sqrt t) x))
(.f64 (.f64 x (sqrt.f64 t)) #s(literal 3 binary64))
(* 3 (* (sqrt t) x))
(.f64 (.f64 x (sqrt.f64 t)) #s(literal 3 binary64))
(* 3 (* (sqrt t) x))
(.f64 (.f64 x (sqrt.f64 t)) #s(literal 3 binary64))
(* -3 (* (sqrt t) (* x (pow (sqrt -1) 2))))
(.f64 (.f64 x (sqrt.f64 t)) #s(literal 3 binary64))
(* -3 (* (sqrt t) (* x (pow (sqrt -1) 2))))
(.f64 (.f64 x (sqrt.f64 t)) #s(literal 3 binary64))
(* -3 (* (sqrt t) (* x (pow (sqrt -1) 2))))
(.f64 (.f64 x (sqrt.f64 t)) #s(literal 3 binary64))
(* -3 (* (sqrt t) (* x (pow (sqrt -1) 2))))
(.f64 (.f64 x (sqrt.f64 t)) #s(literal 3 binary64))

eval967.0ms (2.7%)

Memory: 41.8MiB live, 1 611.1MiB allocated
Compiler: Compiled 187 446 to 7 981 computations (95.7% saved)

prune726.0ms (2%)

Memory

11.7MiB live, 989.3MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	4 577	7	4 584
Fresh	0	0	0
Picked	5	0	5
Done	0	0	0
Total	4 582	7	4 589

Accuracy

100.0%

Counts

4 589 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.0%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (.f64 (.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (.f64 y z)))) #s(literal 2 binary64))) (.f64 (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (.f64 (.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (.f64 y z)))) #s(literal 4 binary64))) #s(literal 1/3 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 3 binary64) (sqrt.f64 t))) (.f64 z (.f64 #s(literal 54 binary64) y))))))
▶	98.4%	(/.f64 (.f64 (-.f64 (.f64 (.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 3 binary64) (sqrt.f64 t))) (.f64 z (.f64 #s(literal 54 binary64) y)))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 3 binary64) (sqrt.f64 t))) (.f64 z (.f64 #s(literal 54 binary64) y)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 3 binary64) (sqrt.f64 t))) (.f64 z (.f64 #s(literal 54 binary64) y))))) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
▶	96.6%	(/.f64 (.f64 #s(literal 1/3 binary64) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (.f64 (.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (.f64 y z)))) #s(literal 2 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (.f64 (.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (*.f64 y z))))))
▶	96.6%	(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (.f64 (.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (.f64 y z)))))) (.f64 #s(literal 1/3 binary64) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (.f64 (.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (.f64 y z)))) #s(literal 2 binary64)))))
	96.6%	(.f64 #s(literal 1/3 binary64) (.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (.f64 (.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (.f64 y z))))) (/.f64 (acos.f64 (.f64 (.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (.f64 y z)))) (/.f64 #s(literal 1 binary64) (acos.f64 (.f64 (.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (*.f64 y z))))))))
▶	96.6%	(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) y))) z)))
▶	98.0%	(.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 590 to 326 computations (44.7% saved)

simplify397.0ms (1.1%)

Memory

-146.1MiB live, 421.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (.f64 (.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (.f64 (.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (*.f64 y z))))))
✓	cost-diff	128	(.f64 #s(literal 1/3 binary64) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (.f64 (.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (.f64 y z)))) #s(literal 2 binary64))))
✓	cost-diff	320	(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (.f64 (.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (.f64 y z)))))) (.f64 #s(literal 1/3 binary64) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (.f64 (.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (.f64 y z)))) #s(literal 2 binary64)))))
✓	cost-diff	0	(.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
✓	cost-diff	0	(-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (.f64 (.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))) #s(literal 2 binary64)))
✓	cost-diff	0	(/.f64 (.f64 #s(literal 1/3 binary64) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (.f64 (.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (.f64 y z)))) #s(literal 2 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (.f64 (.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (*.f64 y z))))))
✓	cost-diff	128	(.f64 #s(literal 1/3 binary64) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (.f64 (.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (.f64 y z)))) #s(literal 2 binary64))))
✓	cost-diff	0	(.f64 x (.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) y)))
✓	cost-diff	0	(acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) y))) z))
✓	cost-diff	0	(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) y))) z)))
✓	cost-diff	384	(/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) y))) 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))))
✓	cost-diff	0	(-.f64 (.f64 (.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 3 binary64) (sqrt.f64 t))) (.f64 z (.f64 #s(literal 54 binary64) y)))) #s(literal 3 binary64)))
✓	cost-diff	0	(/.f64 (.f64 (-.f64 (.f64 (.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 3 binary64) (sqrt.f64 t))) (.f64 z (.f64 #s(literal 54 binary64) y)))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 3 binary64) (sqrt.f64 t))) (.f64 z (.f64 #s(literal 54 binary64) y)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 3 binary64) (sqrt.f64 t))) (.f64 z (.f64 #s(literal 54 binary64) y))))) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
✓	cost-diff	128	(.f64 (-.f64 (.f64 (.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 3 binary64) (sqrt.f64 t))) (.f64 z (*.f64 #s(literal 54 binary64) y)))) #s(literal 3 binary64))) #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)))

Rules

5 604×	`accelerator-lowering-fma.f32`
5 604×	`accelerator-lowering-fma.f64`
4 060×	`-lowering-.f32`
4 060×	`-lowering-.f64`
1 596×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	30064771665
1	140	30064771637
2	382	30064771637
3	999	30064771637
4	2009	30064771637
5	2508	30064771637
6	3253	30064771637
7	4493	30064771637
8	5780	30064771637
9	6848	30064771637
10	7978	30064771637
0	8016	685

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (* (- (* (* (pow (PI) 2/3) (pow (PI) 7/3)) 1/8) (pow (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) 3)) 1/3) (+ (* (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) (+ (* (PI) 1/2) (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))))) (* (* (PI) (PI)) 1/4)))
(* (- (* (* (pow (PI) 2/3) (pow (PI) 7/3)) 1/8) (pow (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) 3)) 1/3)
(- (* (* (pow (PI) 2/3) (pow (PI) 7/3)) 1/8) (pow (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) 3))
(* (* (pow (PI) 2/3) (pow (PI) 7/3)) 1/8)
(* (pow (PI) 2/3) (pow (PI) 7/3))
(pow (PI) 2/3)
(PI)
2/3
(pow (PI) 7/3)
7/3
1/8
(pow (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) 3)
(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
1/3
(+ (* (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) (+ (* (PI) 1/2) (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))))) (* (* (PI) (PI)) 1/4))
(+ (* (PI) 1/2) (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))))
1/2
(* (* (PI) (PI)) 1/4)
(* (PI) (PI))
1/4
(* 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 (* 1/18 (/ (sqrt t) y))) z)))
1/3
(acos (/ (* x (* 1/18 (/ (sqrt t) y))) z))
(/ (* x (* 1/18 (/ (sqrt t) y))) z)
(* x (* 1/18 (/ (sqrt t) y)))
x
(* 1/18 (/ (sqrt t) y))
1/18
(/ (sqrt t) y)
(sqrt t)
t
y
z
(/ (* 1/3 (- (* (* (PI) (PI)) 1/4) (pow (asin (* (* x (sqrt t)) (/ 1/18 (* y z)))) 2))) (+ (* (PI) 1/2) (asin (* (* x (sqrt t)) (/ 1/18 (* y z))))))
(* 1/3 (- (* (* (PI) (PI)) 1/4) (pow (asin (* (* x (sqrt t)) (/ 1/18 (* y z)))) 2)))
1/3
(- (* (* (PI) (PI)) 1/4) (pow (asin (* (* x (sqrt t)) (/ 1/18 (* y z)))) 2))
(* (* (PI) (PI)) 1/4)
(* (PI) (PI))
(PI)
1/4
(pow (asin (* (* x (sqrt t)) (/ 1/18 (* y z)))) 2)
(asin (* (* x (sqrt t)) (/ 1/18 (* y z))))
(* (* x (sqrt t)) (/ 1/18 (* y z)))
(* x (sqrt t))
x
(sqrt t)
t
(/ 1/18 (* y z))
1/18
(* y z)
y
z
2
(+ (* (PI) 1/2) (asin (* (* x (sqrt t)) (/ 1/18 (* y z)))))
1/2
(* (/ 1 (+ (* (PI) 1/2) (asin (* (* x (sqrt t)) (/ 1/18 (* y z)))))) (* 1/3 (- (* (* (PI) (PI)) 1/4) (pow (asin (* (* x (sqrt t)) (/ 1/18 (* y z)))) 2))))
(/ 1 (+ (* (PI) 1/2) (asin (* (* x (sqrt t)) (/ 1/18 (* y z))))))
1
(+ (* (PI) 1/2) (asin (* (* x (sqrt t)) (/ 1/18 (* y z)))))
(PI)
1/2
(asin (* (* x (sqrt t)) (/ 1/18 (* y z))))
(* (* x (sqrt t)) (/ 1/18 (* y z)))
(* x (sqrt t))
x
(sqrt t)
t
(/ 1/18 (* y z))
1/18
(* y z)
y
z
(* 1/3 (- (* (* (PI) (PI)) 1/4) (pow (asin (* (* x (sqrt t)) (/ 1/18 (* y z)))) 2)))
1/3
(- (* (* (PI) (PI)) 1/4) (pow (asin (* (* x (sqrt t)) (/ 1/18 (* y z)))) 2))
(* (* (PI) (PI)) 1/4)
(* (PI) (PI))
1/4
(pow (asin (* (* x (sqrt t)) (/ 1/18 (* y z)))) 2)
2

Outputs
(/ (* (- (* (* (pow (PI) 2/3) (pow (PI) 7/3)) 1/8) (pow (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) 3)) 1/3) (+ (* (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) (+ (* (PI) 1/2) (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))))) (* (* (PI) (PI)) 1/4)))
(.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 (pow.f64 (PI.f64) #s(literal 7/3 binary64)) #s(literal -1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 z y))) #s(literal 3 binary64))) (/.f64 #s(literal -1/3 binary64) (fma.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 z y))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 z y)))) (.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))))
(* (- (* (* (pow (PI) 2/3) (pow (PI) 7/3)) 1/8) (pow (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) 3)) 1/3)
(fma.f64 (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 z y))) #s(literal 3 binary64)) #s(literal -1/3 binary64) (.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 7/3 binary64)) #s(literal 1/24 binary64))))
(- (* (* (pow (PI) 2/3) (pow (PI) 7/3)) 1/8) (pow (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) 3))
(-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 (pow.f64 (PI.f64) #s(literal 7/3 binary64)) #s(literal 1/8 binary64))) (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 z y))) #s(literal 3 binary64)))
(* (* (pow (PI) 2/3) (pow (PI) 7/3)) 1/8)
(.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 (pow.f64 (PI.f64) #s(literal 7/3 binary64)) #s(literal 1/8 binary64)))
(* (pow (PI) 2/3) (pow (PI) 7/3))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64)))
(pow (PI) 2/3)
(pow.f64 (PI.f64) #s(literal 2/3 binary64))
(PI)
(PI.f64)
2/3
#s(literal 2/3 binary64)
(pow (PI) 7/3)
(pow.f64 (PI.f64) #s(literal 7/3 binary64))
7/3
#s(literal 7/3 binary64)
1/8
#s(literal 1/8 binary64)
(pow (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) 3)
(pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 z y))) #s(literal 3 binary64))
(asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y))))
(asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 z y)))
(/ (* x (* 3 (sqrt t))) (* z (* 54 y)))
(/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 z y))
(* x (* 3 (sqrt t)))
(.f64 x (.f64 #s(literal 3 binary64) (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 #s(literal 54 binary64) y))
z
(* 54 y)
(*.f64 #s(literal 54 binary64) y)
54
#s(literal 54 binary64)
y
1/3
#s(literal 1/3 binary64)
(+ (* (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) (+ (* (PI) 1/2) (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))))) (* (* (PI) (PI)) 1/4))
(fma.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 z y))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 z y)))) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))))
(+ (* (PI) 1/2) (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 z y))))
1/2
#s(literal 1/2 binary64)
(* (* (PI) (PI)) 1/4)
(.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)))
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
1/4
#s(literal 1/4 binary64)
(* 1/3 (acos (* (/ (* x 1/18) (* 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 z y))))
1/3
#s(literal 1/3 binary64)
(acos (* (/ (* x 1/18) (* y z)) (sqrt t)))
(acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 z y)))
(* (/ (* x 1/18) (* y z)) (sqrt t))
(/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 z y))
(/ (* x 1/18) (* y z))
(.f64 x (/.f64 #s(literal 1/18 binary64) (.f64 z y)))
(* x 1/18)
(*.f64 x #s(literal 1/18 binary64))
x
1/18
#s(literal 1/18 binary64)
(* y z)
(*.f64 z y)
y
z
(sqrt t)
(sqrt.f64 t)
t
(* 1/3 (acos (/ (* x (* 1/18 (/ (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 z y))))
1/3
#s(literal 1/3 binary64)
(acos (/ (* x (* 1/18 (/ (sqrt t) y))) z))
(acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 z y)))
(/ (* x (* 1/18 (/ (sqrt t) y))) z)
(/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 z y))
(* x (* 1/18 (/ (sqrt t) y)))
(.f64 #s(literal 1/18 binary64) (.f64 x (/.f64 (sqrt.f64 t) y)))
x
(* 1/18 (/ (sqrt t) y))
(/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y)
1/18
#s(literal 1/18 binary64)
(/ (sqrt t) y)
(/.f64 (sqrt.f64 t) y)
(sqrt t)
(sqrt.f64 t)
t
y
z
(/ (* 1/3 (- (* (* (PI) (PI)) 1/4) (pow (asin (* (* x (sqrt t)) (/ 1/18 (* y z)))) 2))) (+ (* (PI) 1/2) (asin (* (* x (sqrt t)) (/ 1/18 (* y z))))))
(/.f64 (fma.f64 (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 z y))) #s(literal 2 binary64)) #s(literal -1/3 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 z y)))))
(* 1/3 (- (* (* (PI) (PI)) 1/4) (pow (asin (* (* x (sqrt t)) (/ 1/18 (* y z)))) 2)))
(fma.f64 (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 z y))) #s(literal 2 binary64)) #s(literal -1/3 binary64) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64)))
1/3
#s(literal 1/3 binary64)
(- (* (* (PI) (PI)) 1/4) (pow (asin (* (* x (sqrt t)) (/ 1/18 (* y z)))) 2))
(-.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 z y))) #s(literal 2 binary64)))
(* (* (PI) (PI)) 1/4)
(.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)))
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
(PI)
(PI.f64)
1/4
#s(literal 1/4 binary64)
(pow (asin (* (* x (sqrt t)) (/ 1/18 (* y z)))) 2)
(pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 z y))) #s(literal 2 binary64))
(asin (* (* x (sqrt t)) (/ 1/18 (* y z))))
(asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 z y)))
(* (* x (sqrt t)) (/ 1/18 (* y z)))
(/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 z y))
(* x (sqrt t))
(*.f64 x (sqrt.f64 t))
x
(sqrt t)
(sqrt.f64 t)
t
(/ 1/18 (* y z))
(/.f64 #s(literal 1/18 binary64) (*.f64 z y))
1/18
#s(literal 1/18 binary64)
(* y z)
(*.f64 z y)
y
z
2
#s(literal 2 binary64)
(+ (* (PI) 1/2) (asin (* (* x (sqrt t)) (/ 1/18 (* y z)))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 z y))))
1/2
#s(literal 1/2 binary64)
(* (/ 1 (+ (* (PI) 1/2) (asin (* (* x (sqrt t)) (/ 1/18 (* y z)))))) (* 1/3 (- (* (* (PI) (PI)) 1/4) (pow (asin (* (* x (sqrt t)) (/ 1/18 (* y z)))) 2))))
(/.f64 (fma.f64 (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 z y))) #s(literal 2 binary64)) #s(literal -1/3 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 z y)))))
(/ 1 (+ (* (PI) 1/2) (asin (* (* x (sqrt t)) (/ 1/18 (* y z))))))
(/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 z y)))))
1
#s(literal 1 binary64)
(+ (* (PI) 1/2) (asin (* (* x (sqrt t)) (/ 1/18 (* y z)))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 z y))))
(PI)
(PI.f64)
1/2
#s(literal 1/2 binary64)
(asin (* (* x (sqrt t)) (/ 1/18 (* y z))))
(asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 z y)))
(* (* x (sqrt t)) (/ 1/18 (* y z)))
(/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 z y))
(* x (sqrt t))
(*.f64 x (sqrt.f64 t))
x
(sqrt t)
(sqrt.f64 t)
t
(/ 1/18 (* y z))
(/.f64 #s(literal 1/18 binary64) (*.f64 z y))
1/18
#s(literal 1/18 binary64)
(* y z)
(*.f64 z y)
y
z
(* 1/3 (- (* (* (PI) (PI)) 1/4) (pow (asin (* (* x (sqrt t)) (/ 1/18 (* y z)))) 2)))
(fma.f64 (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 z y))) #s(literal 2 binary64)) #s(literal -1/3 binary64) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64)))
1/3
#s(literal 1/3 binary64)
(- (* (* (PI) (PI)) 1/4) (pow (asin (* (* x (sqrt t)) (/ 1/18 (* y z)))) 2))
(-.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 z y))) #s(literal 2 binary64)))
(* (* (PI) (PI)) 1/4)
(.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)))
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
1/4
#s(literal 1/4 binary64)
(pow (asin (* (* x (sqrt t)) (/ 1/18 (* y z)))) 2)
(pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 z y))) #s(literal 2 binary64))
2
#s(literal 2 binary64)

localize337.0ms (0.9%)

Memory

26.6MiB live, 451.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(*.f64 x (sqrt.f64 t))
✓	accuracy	99.4%	(/.f64 #s(literal 1/18 binary64) (*.f64 y z))
✓	accuracy	98.5%	(.f64 #s(literal 1/3 binary64) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (.f64 (.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (.f64 y z)))) #s(literal 2 binary64))))
✓	accuracy	88.5%	(.f64 (.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))
✓	accuracy	99.6%	(*.f64 x (sqrt.f64 t))
✓	accuracy	99.4%	(/.f64 #s(literal 1/18 binary64) (*.f64 y z))
✓	accuracy	98.5%	(.f64 #s(literal 1/3 binary64) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (.f64 (.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (.f64 y z)))) #s(literal 2 binary64))))
✓	accuracy	88.5%	(.f64 (.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))
✓	accuracy	99.5%	(*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) y))
✓	accuracy	98.5%	(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) y))) z)))
✓	accuracy	94.6%	(.f64 x (.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) y)))
✓	accuracy	92.6%	(/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) y))) 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	94.2%	(/.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 y z))
✓	accuracy	93.6%	(.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) (sqrt.f64 t))
✓	accuracy	99.6%	(*.f64 #s(literal 3 binary64) (sqrt.f64 t))
✓	accuracy	98.4%	(pow.f64 (PI.f64) #s(literal 7/3 binary64))
✓	accuracy	98.4%	(.f64 (-.f64 (.f64 (.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 3 binary64) (sqrt.f64 t))) (.f64 z (*.f64 #s(literal 54 binary64) y)))) #s(literal 3 binary64))) #s(literal 1/3 binary64))
✓	accuracy	88.4%	(/.f64 (.f64 x (.f64 #s(literal 3 binary64) (sqrt.f64 t))) (.f64 z (.f64 #s(literal 54 binary64) y)))

Samples

153.0ms

256×

valid

Compiler

Compiled 717 to 64 computations (91.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 95.0ms

ival-mult: 29.0ms (30.5% of total)

ival-pow: 15.0ms (15.8% of total)

const: 13.0ms (13.7% of total)

ival-div: 12.0ms (12.6% of total)

ival-sub: 6.0ms (6.3% of total)

ival-acos: 5.0ms (5.3% of total)

ival-add: 3.0ms (3.2% of total)

ival-asin: 3.0ms (3.2% of total)

ival-copysign: 2.0ms (2.1% of total)

ival-sqrt: 2.0ms (2.1% of total)

ival-pow2: 2.0ms (2.1% of total)

ival-pi: 1.0ms (1.1% of total)

ival-fabs: 1.0ms (1.1% of total)

exact: 1.0ms (1.1% of total)

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

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

series56.0ms (0.2%)

Memory

-35.8MiB live, 71.1MiB allocated

Counts

26 → 984

Calls

Call 1

Inputs
#<alt (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))>
#<alt (* (- (* (* (pow (PI) 2/3) (pow (PI) 7/3)) 1/8) (pow (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) 3)) 1/3)>
#<alt (/ (* (- (* (* (pow (PI) 2/3) (pow (PI) 7/3)) 1/8) (pow (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) 3)) 1/3) (+ (* (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) (+ (* (PI) 1/2) (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))))) (* (* (PI) (PI)) 1/4)))>
#<alt (- (* (* (pow (PI) 2/3) (pow (PI) 7/3)) 1/8) (pow (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) 3))>
#<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 (* 1/18 (/ (sqrt t) y))) z)>
#<alt (* 1/3 (acos (/ (* x (* 1/18 (/ (sqrt t) y))) z)))>
#<alt (acos (/ (* x (* 1/18 (/ (sqrt t) y))) z))>
#<alt (* x (* 1/18 (/ (sqrt t) y)))>
#<alt (* 1/3 (- (* (* (PI) (PI)) 1/4) (pow (asin (* (* x (sqrt t)) (/ 1/18 (* y z)))) 2)))>
#<alt (/ (* 1/3 (- (* (* (PI) (PI)) 1/4) (pow (asin (* (* x (sqrt t)) (/ 1/18 (* y z)))) 2))) (+ (* (PI) 1/2) (asin (* (* x (sqrt t)) (/ 1/18 (* y z))))))>
#<alt (- (* (* (PI) (PI)) 1/4) (pow (asin (* (* x (sqrt t)) (/ 1/18 (* y z)))) 2))>
#<alt (* (* (PI) (PI)) 1/4)>
#<alt (* (/ 1 (+ (* (PI) 1/2) (asin (* (* x (sqrt t)) (/ 1/18 (* y z)))))) (* 1/3 (- (* (* (PI) (PI)) 1/4) (pow (asin (* (* x (sqrt t)) (/ 1/18 (* y z)))) 2))))>
#<alt (/ 1 (+ (* (PI) 1/2) (asin (* (* x (sqrt t)) (/ 1/18 (* y z))))))>
#<alt (+ (* (PI) 1/2) (asin (* (* x (sqrt t)) (/ 1/18 (* y z)))))>
#<alt (pow (PI) 7/3)>
#<alt (* 3 (sqrt t))>
#<alt (* x 1/18)>
#<alt (* 1/18 (/ (sqrt t) y))>
#<alt (* (* x (sqrt t)) (/ 1/18 (* y z)))>
#<alt (/ 1/18 (* y z))>
#<alt (* x (sqrt t))>

Outputs
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* 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 (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))>
#<alt (* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))>
#<alt (* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))>
#<alt (* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))>
#<alt (* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))>
#<alt (* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))>
#<alt (* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))>
#<alt (* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))>
#<alt (* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))>
#<alt (* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))>
#<alt (* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))>
#<alt (* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))>
#<alt (* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))>
#<alt (* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))>
#<alt (* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))>
#<alt (* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))>
#<alt (* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))>
#<alt (* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))>
#<alt (* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))>
#<alt (* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))>
#<alt (* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI)))))))>
#<alt (* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI)))))))>
#<alt (* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI)))))))>
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#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
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#<alt (/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
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#<alt (/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))>
#<alt (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))>
#<alt (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))>
#<alt (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))>
#<alt (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))>
#<alt (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))>
#<alt (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))>
#<alt (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))>
#<alt (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))>
#<alt (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))>
#<alt (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))>
#<alt (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))>
#<alt (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))>
#<alt (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))>
#<alt (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))>
#<alt (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))>
#<alt (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))>
#<alt (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))>
#<alt (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))>
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#<alt (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI)))>
#<alt (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI)))>
#<alt (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))>
#<alt (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))>
#<alt (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))>
#<alt (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))>
#<alt (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))>
#<alt (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))>
#<alt (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))>
#<alt (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))>
#<alt (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))>
#<alt (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))>
#<alt (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))>
#<alt (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))>
#<alt (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))>
#<alt (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))>
#<alt (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))>
#<alt (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))>
#<alt (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))>
#<alt (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))>
#<alt (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))>
#<alt (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))>
#<alt (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))>
#<alt (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))>
#<alt (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))>
#<alt (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))>
#<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)))>
#<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 (* 1/18 (* (sqrt t) (/ 1 y)))>
#<alt (* 1/18 (* (sqrt t) (/ 1 y)))>
#<alt (* 1/18 (* (sqrt t) (/ 1 y)))>
#<alt (* 1/18 (* (sqrt t) (/ 1 y)))>
#<alt (* 1/18 (* (sqrt t) (/ 1 y)))>
#<alt (* 1/18 (* (sqrt t) (/ 1 y)))>
#<alt (* 1/18 (* (sqrt t) (/ 1 y)))>
#<alt (* 1/18 (* (sqrt t) (/ 1 y)))>
#<alt (* -1/18 (* (sqrt t) (/ (pow (sqrt -1) 2) y)))>
#<alt (* -1/18 (* (sqrt t) (/ (pow (sqrt -1) 2) y)))>
#<alt (* -1/18 (* (sqrt t) (/ (pow (sqrt -1) 2) y)))>
#<alt (* -1/18 (* (sqrt t) (/ (pow (sqrt -1) 2) y)))>
#<alt (* 1/18 (* (sqrt t) (/ 1 y)))>
#<alt (* 1/18 (* (sqrt t) (/ 1 y)))>
#<alt (* 1/18 (* (sqrt t) (/ 1 y)))>
#<alt (* 1/18 (* (sqrt t) (/ 1 y)))>
#<alt (* 1/18 (* (sqrt t) (/ 1 y)))>
#<alt (* 1/18 (* (sqrt t) (/ 1 y)))>
#<alt (* 1/18 (* (sqrt t) (/ 1 y)))>
#<alt (* 1/18 (* (sqrt t) (/ 1 y)))>
#<alt (* 1/18 (* (sqrt t) (/ 1 y)))>
#<alt (* 1/18 (* (sqrt t) (/ 1 y)))>
#<alt (* 1/18 (* (sqrt t) (/ 1 y)))>
#<alt (* 1/18 (* (sqrt t) (/ 1 y)))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* 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))))>
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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))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (/ 1/18 (* y z))>
#<alt (/ 1/18 (* y z))>
#<alt (/ 1/18 (* y z))>
#<alt (/ 1/18 (* y z))>
#<alt (/ 1/18 (* y z))>
#<alt (/ 1/18 (* y z))>
#<alt (/ 1/18 (* y z))>
#<alt (/ 1/18 (* y z))>
#<alt (/ 1/18 (* y z))>
#<alt (/ 1/18 (* y z))>
#<alt (/ 1/18 (* y z))>
#<alt (/ 1/18 (* y z))>
#<alt (/ 1/18 (* y z))>
#<alt (/ 1/18 (* y z))>
#<alt (/ 1/18 (* y z))>
#<alt (/ 1/18 (* y z))>
#<alt (/ 1/18 (* y z))>
#<alt (/ 1/18 (* y z))>
#<alt (/ 1/18 (* y z))>
#<alt (/ 1/18 (* y z))>
#<alt (/ 1/18 (* y z))>
#<alt (/ 1/18 (* y z))>
#<alt (/ 1/18 (* y z))>
#<alt (/ 1/18 (* y z))>
#<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))))>

Calls

246 calls:

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

rewrite10.0s (27.4%)

Memory

48.9MiB live, 1 061.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 986×	`accelerator-lowering-fma.f32`
4 986×	`accelerator-lowering-fma.f64`
4 872×	`-lowering-.f32`
4 872×	`-lowering-.f64`
3 856×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	538
1	295	286
2	2262	285
0	8464	282

Stop Event

1×	iter limit
1×	node limit

Counts

26 → 2 019

Calls

Call 1

Inputs
(/ (* x (* 3 (sqrt t))) (* z (* 54 y)))
(* (- (* (* (pow (PI) 2/3) (pow (PI) 7/3)) 1/8) (pow (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) 3)) 1/3)
(/ (* (- (* (* (pow (PI) 2/3) (pow (PI) 7/3)) 1/8) (pow (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) 3)) 1/3) (+ (* (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) (+ (* (PI) 1/2) (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))))) (* (* (PI) (PI)) 1/4)))
(- (* (* (pow (PI) 2/3) (pow (PI) 7/3)) 1/8) (pow (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) 3))
(* 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 (* 1/18 (/ (sqrt t) y))) z)
(* 1/3 (acos (/ (* x (* 1/18 (/ (sqrt t) y))) z)))
(acos (/ (* x (* 1/18 (/ (sqrt t) y))) z))
(* x (* 1/18 (/ (sqrt t) y)))
(* 1/3 (- (* (* (PI) (PI)) 1/4) (pow (asin (* (* x (sqrt t)) (/ 1/18 (* y z)))) 2)))
(/ (* 1/3 (- (* (* (PI) (PI)) 1/4) (pow (asin (* (* x (sqrt t)) (/ 1/18 (* y z)))) 2))) (+ (* (PI) 1/2) (asin (* (* x (sqrt t)) (/ 1/18 (* y z))))))
(- (* (* (PI) (PI)) 1/4) (pow (asin (* (* x (sqrt t)) (/ 1/18 (* y z)))) 2))
(* (* (PI) (PI)) 1/4)
(* (/ 1 (+ (* (PI) 1/2) (asin (* (* x (sqrt t)) (/ 1/18 (* y z)))))) (* 1/3 (- (* (* (PI) (PI)) 1/4) (pow (asin (* (* x (sqrt t)) (/ 1/18 (* y z)))) 2))))
(/ 1 (+ (* (PI) 1/2) (asin (* (* x (sqrt t)) (/ 1/18 (* y z))))))
(+ (* (PI) 1/2) (asin (* (* x (sqrt t)) (/ 1/18 (* y z)))))
(pow (PI) 7/3)
(* 3 (sqrt t))
(* x 1/18)
(* 1/18 (/ (sqrt t) y))
(* (* x (sqrt t)) (/ 1/18 (* y z)))
(/ 1/18 (* y z))
(* x (sqrt t))

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

simplify383.0ms (1.1%)

Memory

-23.5MiB live, 740.7MiB allocated

Algorithm

1×	egg-herbie

Rules

4 640×	`-lowering-.f32`
4 640×	`-lowering-.f64`
3 922×	`accelerator-lowering-fma.f32`
3 922×	`accelerator-lowering-fma.f64`
1 468×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	88	17164
1	206	16844
2	555	16776
3	1705	16776
4	3392	16776
5	6427	16776
0	8157	16248

Stop Event

1×	iter limit
1×	node limit

Counts

984 → 984

Calls

Call 1

Inputs
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ 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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(* (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))))

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

eval897.0ms (2.5%)

Memory: 16.2MiB live, 1 479.4MiB allocated
Compiler: Compiled 226 640 to 8 432 computations (96.3% saved)

prune3.4s (9.3%)

Memory

15.4MiB live, 1 170.0MiB allocated

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	5 062	3	5 065
Fresh	1	1	2
Picked	2	3	5
Done	0	0	0
Total	5 065	7	5 072

Accuracy

100.0%

Counts

5 072 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.0%	(/.f64 (.f64 #s(literal 1/3 binary64) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (.f64 (.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (.f64 y z)))) #s(literal 2 binary64)))) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (.f64 z y) #s(literal 18 binary64))))))
✓	96.6%	(/.f64 (.f64 #s(literal 1/3 binary64) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (.f64 (.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (.f64 y z)))) #s(literal 2 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (.f64 (.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (*.f64 y z))))))
▶	96.5%	(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (.f64 (.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (.f64 y z)))))) (fma.f64 (pow.f64 (asin.f64 (/.f64 (.f64 (sqrt.f64 t) (.f64 x #s(literal -1/18 binary64))) (.f64 y z))) #s(literal 2 binary64)) #s(literal -1/3 binary64) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64))))
▶	98.4%	(.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (.f64 z y) #s(literal 18 binary64)))) #s(literal 4 binary64))) (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (.f64 z y) #s(literal 18 binary64))))) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (.f64 z y) #s(literal 18 binary64)))) #s(literal 2 binary64))))))
▶	96.6%	(.f64 #s(literal 1/3 binary64) (.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (.f64 (.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (.f64 y z))))) (/.f64 (acos.f64 (.f64 (.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (.f64 y z)))) (/.f64 #s(literal 1 binary64) (acos.f64 (.f64 (.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (*.f64 y z))))))))
✓	96.6%	(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) y))) z)))
✓	98.0%	(.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 267 to 155 computations (41.9% saved)

simplify329.0ms (0.9%)

Memory

18.2MiB live, 606.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (.f64 (.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))) #s(literal 2 binary64)))
✓	cost-diff	0	(/.f64 (.f64 #s(literal 1/3 binary64) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (.f64 (.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (.f64 y z)))) #s(literal 2 binary64)))) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (.f64 z y) #s(literal 18 binary64))))))
✓	cost-diff	128	(.f64 #s(literal 1/3 binary64) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (.f64 (.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (.f64 y z)))) #s(literal 2 binary64))))
✓	cost-diff	1600	(fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (.f64 z y) #s(literal 18 binary64)))))
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (.f64 (.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (.f64 (.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (*.f64 y z))))))
✓	cost-diff	320	(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (.f64 (.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (.f64 y z)))))) (fma.f64 (pow.f64 (asin.f64 (/.f64 (.f64 (sqrt.f64 t) (.f64 x #s(literal -1/18 binary64))) (.f64 y z))) #s(literal 2 binary64)) #s(literal -1/3 binary64) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64))))
✓	cost-diff	0	(.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64))
✓	cost-diff	0	(-.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (*.f64 z y) #s(literal 18 binary64)))) #s(literal 4 binary64)))
✓	cost-diff	0	(/.f64 (-.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (.f64 z y) #s(literal 18 binary64)))) #s(literal 4 binary64))) (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (.f64 z y) #s(literal 18 binary64))))) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (*.f64 z y) #s(literal 18 binary64)))) #s(literal 2 binary64)))))
✓	cost-diff	128	(.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (.f64 z y) #s(literal 18 binary64)))) #s(literal 4 binary64))) (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (.f64 z y) #s(literal 18 binary64))))) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (.f64 z y) #s(literal 18 binary64)))) #s(literal 2 binary64))))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (acos.f64 (.f64 (.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))))
✓	cost-diff	0	(.f64 #s(literal 1/3 binary64) (.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (.f64 (.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (.f64 y z))))) (/.f64 (acos.f64 (.f64 (.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (.f64 y z)))) (/.f64 #s(literal 1 binary64) (acos.f64 (.f64 (.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (*.f64 y z))))))))
✓	cost-diff	1088	(/.f64 (acos.f64 (.f64 (.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (.f64 y z)))) (/.f64 #s(literal 1 binary64) (acos.f64 (.f64 (.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (.f64 y z))))))
✓	cost-diff	18752	(.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (.f64 (.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (.f64 y z))))) (/.f64 (acos.f64 (.f64 (.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (.f64 y z)))) (/.f64 #s(literal 1 binary64) (acos.f64 (.f64 (.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (.f64 y z)))))))

Rules

10 586×	`accelerator-lowering-fma.f32`
10 586×	`accelerator-lowering-fma.f64`
6 278×	`-lowering-.f32`
6 278×	`-lowering-.f64`
3 796×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	883
1	170	787
2	514	771
3	1406	771
4	2560	771
5	4378	771
0	8143	753

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* 1/3 (* (/ 1 (acos (* (* x (sqrt t)) (/ 1/18 (* y z))))) (/ (acos (* (* x (sqrt t)) (/ 1/18 (* y z)))) (/ 1 (acos (* (* x (sqrt t)) (/ 1/18 (* y z))))))))
1/3
(* (/ 1 (acos (* (* x (sqrt t)) (/ 1/18 (* y z))))) (/ (acos (* (* x (sqrt t)) (/ 1/18 (* y z)))) (/ 1 (acos (* (* x (sqrt t)) (/ 1/18 (* y z)))))))
(/ 1 (acos (* (* x (sqrt t)) (/ 1/18 (* y z)))))
1
(acos (* (* x (sqrt t)) (/ 1/18 (* y z))))
(* (* x (sqrt t)) (/ 1/18 (* y z)))
(* x (sqrt t))
x
(sqrt t)
t
(/ 1/18 (* y z))
1/18
(* y z)
y
z
(/ (acos (* (* x (sqrt t)) (/ 1/18 (* y z)))) (/ 1 (acos (* (* x (sqrt t)) (/ 1/18 (* y z))))))
(* 1/3 (/ (- (* (* (* (PI) (PI)) (* (PI) (PI))) 1/16) (pow (asin (/ (* x (sqrt t)) (* (* z y) 18))) 4)) (* (+ (* (PI) 1/2) (asin (/ (* x (sqrt t)) (* (* z y) 18)))) (+ (* (PI) (* (PI) 1/4)) (pow (asin (/ (* x (sqrt t)) (* (* z y) 18))) 2)))))
1/3
(/ (- (* (* (* (PI) (PI)) (* (PI) (PI))) 1/16) (pow (asin (/ (* x (sqrt t)) (* (* z y) 18))) 4)) (* (+ (* (PI) 1/2) (asin (/ (* x (sqrt t)) (* (* z y) 18)))) (+ (* (PI) (* (PI) 1/4)) (pow (asin (/ (* x (sqrt t)) (* (* z y) 18))) 2))))
(- (* (* (* (PI) (PI)) (* (PI) (PI))) 1/16) (pow (asin (/ (* x (sqrt t)) (* (* z y) 18))) 4))
(* (* (* (PI) (PI)) (* (PI) (PI))) 1/16)
(* (* (PI) (PI)) (* (PI) (PI)))
(* (PI) (PI))
(PI)
1/16
(pow (asin (/ (* x (sqrt t)) (* (* z y) 18))) 4)
(asin (/ (* x (sqrt t)) (* (* z y) 18)))
(/ (* x (sqrt t)) (* (* z y) 18))
(* x (sqrt t))
x
(sqrt t)
t
(* (* z y) 18)
(* z y)
z
y
18
4
(* (+ (* (PI) 1/2) (asin (/ (* x (sqrt t)) (* (* z y) 18)))) (+ (* (PI) (* (PI) 1/4)) (pow (asin (/ (* x (sqrt t)) (* (* z y) 18))) 2)))
(+ (* (PI) 1/2) (asin (/ (* x (sqrt t)) (* (* z y) 18))))
1/2
(+ (* (PI) (* (PI) 1/4)) (pow (asin (/ (* x (sqrt t)) (* (* z y) 18))) 2))
(* (PI) 1/4)
1/4
(pow (asin (/ (* x (sqrt t)) (* (* z y) 18))) 2)
2
(* (/ 1 (+ (* (PI) 1/2) (asin (* (* x (sqrt t)) (/ 1/18 (* y z)))))) (+ (* (pow (asin (/ (* (sqrt t) (* x -1/18)) (* y z))) 2) -1/3) (* (* (PI) (PI)) 1/12)))
(/ 1 (+ (* (PI) 1/2) (asin (* (* x (sqrt t)) (/ 1/18 (* y z))))))
1
(+ (* (PI) 1/2) (asin (* (* x (sqrt t)) (/ 1/18 (* y z)))))
(PI)
1/2
(asin (* (* x (sqrt t)) (/ 1/18 (* y z))))
(* (* x (sqrt t)) (/ 1/18 (* y z)))
(* x (sqrt t))
x
(sqrt t)
t
(/ 1/18 (* y z))
1/18
(* y z)
y
z
(+ (* (pow (asin (/ (* (sqrt t) (* x -1/18)) (* y z))) 2) -1/3) (* (* (PI) (PI)) 1/12))
(pow (asin (/ (* (sqrt t) (* x -1/18)) (* y z))) 2)
(asin (/ (* (sqrt t) (* x -1/18)) (* y z)))
(/ (* (sqrt t) (* x -1/18)) (* y z))
(* (sqrt t) (* x -1/18))
(* x -1/18)
-1/18
2
-1/3
(* (* (PI) (PI)) 1/12)
(* (PI) (PI))
1/12
(/ (* 1/3 (- (* (* (PI) (PI)) 1/4) (pow (asin (* (* x (sqrt t)) (/ 1/18 (* y z)))) 2))) (+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (asin (/ (* x (sqrt t)) (* (* z y) 18)))))
(* 1/3 (- (* (* (PI) (PI)) 1/4) (pow (asin (* (* x (sqrt t)) (/ 1/18 (* y z)))) 2)))
1/3
(- (* (* (PI) (PI)) 1/4) (pow (asin (* (* x (sqrt t)) (/ 1/18 (* y z)))) 2))
(* (* (PI) (PI)) 1/4)
(* (PI) (PI))
(PI)
1/4
(pow (asin (* (* x (sqrt t)) (/ 1/18 (* y z)))) 2)
(asin (* (* x (sqrt t)) (/ 1/18 (* y z))))
(* (* x (sqrt t)) (/ 1/18 (* y z)))
(* x (sqrt t))
x
(sqrt t)
t
(/ 1/18 (* y z))
1/18
(* y z)
y
z
2
(+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (asin (/ (* x (sqrt t)) (* (* z y) 18))))
(* 1/2 (sqrt (PI)))
1/2
(sqrt (PI))
(asin (/ (* x (sqrt t)) (* (* z y) 18)))
(/ (* x (sqrt t)) (* (* z y) 18))
(* (* z y) 18)
(* z y)
18

Outputs
(* 1/3 (* (/ 1 (acos (* (* x (sqrt t)) (/ 1/18 (* y z))))) (/ (acos (* (* x (sqrt t)) (/ 1/18 (* y z)))) (/ 1 (acos (* (* x (sqrt t)) (/ 1/18 (* 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)
(* (/ 1 (acos (* (* x (sqrt t)) (/ 1/18 (* y z))))) (/ (acos (* (* x (sqrt t)) (/ 1/18 (* y z)))) (/ 1 (acos (* (* x (sqrt t)) (/ 1/18 (* y z)))))))
(acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))
(/ 1 (acos (* (* x (sqrt t)) (/ 1/18 (* y z)))))
(/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))))
1
#s(literal 1 binary64)
(acos (* (* x (sqrt t)) (/ 1/18 (* y z))))
(acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))
(* (* x (sqrt t)) (/ 1/18 (* y z)))
(/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))
(* x (sqrt t))
(*.f64 x (sqrt.f64 t))
x
(sqrt t)
(sqrt.f64 t)
t
(/ 1/18 (* y z))
(/.f64 #s(literal 1/18 binary64) (*.f64 y z))
1/18
#s(literal 1/18 binary64)
(* y z)
(*.f64 y z)
y
z
(/ (acos (* (* x (sqrt t)) (/ 1/18 (* y z)))) (/ 1 (acos (* (* x (sqrt t)) (/ 1/18 (* y z))))))
(.f64 (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))) (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))))
(* 1/3 (/ (- (* (* (* (PI) (PI)) (* (PI) (PI))) 1/16) (pow (asin (/ (* x (sqrt t)) (* (* z y) 18))) 4)) (* (+ (* (PI) 1/2) (asin (/ (* x (sqrt t)) (* (* z y) 18)))) (+ (* (PI) (* (PI) 1/4)) (pow (asin (/ (* x (sqrt t)) (* (* z y) 18))) 2)))))
(/.f64 (fma.f64 (pow.f64 (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 z (.f64 y #s(literal 18 binary64))))) #s(literal 4 binary64)) #s(literal -1/3 binary64) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) #s(literal 1/48 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)))))) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 z (*.f64 y #s(literal 18 binary64))))) #s(literal 2 binary64)))))
1/3
#s(literal 1/3 binary64)
(/ (- (* (* (* (PI) (PI)) (* (PI) (PI))) 1/16) (pow (asin (/ (* x (sqrt t)) (* (* z y) 18))) 4)) (* (+ (* (PI) 1/2) (asin (/ (* x (sqrt t)) (* (* z y) 18)))) (+ (* (PI) (* (PI) 1/4)) (pow (asin (/ (* x (sqrt t)) (* (* z y) 18))) 2))))
(/.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/16 binary64))) (pow.f64 (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 z (.f64 y #s(literal 18 binary64))))) #s(literal 4 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) (PI.f64)) #s(literal -1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 z (*.f64 y #s(literal 18 binary64))))) #s(literal 2 binary64)))))
(- (* (* (* (PI) (PI)) (* (PI) (PI))) 1/16) (pow (asin (/ (* x (sqrt t)) (* (* z y) 18))) 4))
(-.f64 (.f64 (PI.f64) (.f64 (PI.f64) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/16 binary64))))) (pow.f64 (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 z (*.f64 y #s(literal 18 binary64))))) #s(literal 4 binary64)))
(* (* (* (PI) (PI)) (* (PI) (PI))) 1/16)
(.f64 (PI.f64) (.f64 (PI.f64) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/16 binary64)))))
(* (* (PI) (PI)) (* (PI) (PI)))
(.f64 (PI.f64) (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
(PI)
(PI.f64)
1/16
#s(literal 1/16 binary64)
(pow (asin (/ (* x (sqrt t)) (* (* z y) 18))) 4)
(pow.f64 (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 z (*.f64 y #s(literal 18 binary64))))) #s(literal 4 binary64))
(asin (/ (* x (sqrt t)) (* (* z y) 18)))
(asin.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)
(*.f64 y z)
z
y
18
#s(literal 18 binary64)
4
#s(literal 4 binary64)
(* (+ (* (PI) 1/2) (asin (/ (* x (sqrt t)) (* (* z y) 18)))) (+ (* (PI) (* (PI) 1/4)) (pow (asin (/ (* x (sqrt t)) (* (* z y) 18))) 2)))
(.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)))))) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 z (.f64 y #s(literal 18 binary64))))) #s(literal 2 binary64))))
(+ (* (PI) 1/2) (asin (/ (* x (sqrt t)) (* (* z y) 18))))
(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))))))
1/2
#s(literal 1/2 binary64)
(+ (* (PI) (* (PI) 1/4)) (pow (asin (/ (* x (sqrt t)) (* (* z y) 18))) 2))
(fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 z (.f64 y #s(literal 18 binary64))))) #s(literal 2 binary64)))
(* (PI) 1/4)
(*.f64 (PI.f64) #s(literal 1/4 binary64))
1/4
#s(literal 1/4 binary64)
(pow (asin (/ (* x (sqrt t)) (* (* z y) 18))) 2)
(pow.f64 (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 z (*.f64 y #s(literal 18 binary64))))) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(* (/ 1 (+ (* (PI) 1/2) (asin (* (* x (sqrt t)) (/ 1/18 (* y z)))))) (+ (* (pow (asin (/ (* (sqrt t) (* x -1/18)) (* y z))) 2) -1/3) (* (* (PI) (PI)) 1/12)))
(/.f64 (fma.f64 (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (.f64 y z))) #s(literal 2 binary64)) #s(literal -1/3 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z)))))
(/ 1 (+ (* (PI) 1/2) (asin (* (* x (sqrt t)) (/ 1/18 (* y z))))))
(/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))))
1
#s(literal 1 binary64)
(+ (* (PI) 1/2) (asin (* (* x (sqrt t)) (/ 1/18 (* y z)))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))))
(PI)
(PI.f64)
1/2
#s(literal 1/2 binary64)
(asin (* (* x (sqrt t)) (/ 1/18 (* y z))))
(asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))
(* (* x (sqrt t)) (/ 1/18 (* y z)))
(/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))
(* x (sqrt t))
(*.f64 x (sqrt.f64 t))
x
(sqrt t)
(sqrt.f64 t)
t
(/ 1/18 (* y z))
(/.f64 #s(literal 1/18 binary64) (*.f64 y z))
1/18
#s(literal 1/18 binary64)
(* y z)
(*.f64 y z)
y
z
(+ (* (pow (asin (/ (* (sqrt t) (* x -1/18)) (* y z))) 2) -1/3) (* (* (PI) (PI)) 1/12))
(fma.f64 (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (.f64 y z))) #s(literal 2 binary64)) #s(literal -1/3 binary64) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64)))
(pow (asin (/ (* (sqrt t) (* x -1/18)) (* y z))) 2)
(pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64))
(asin (/ (* (sqrt t) (* x -1/18)) (* y z)))
(asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z)))
(/ (* (sqrt t) (* x -1/18)) (* y z))
(/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))
(* (sqrt t) (* x -1/18))
(.f64 x (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)))
(* x -1/18)
(*.f64 x #s(literal -1/18 binary64))
-1/18
#s(literal -1/18 binary64)
2
#s(literal 2 binary64)
-1/3
#s(literal -1/3 binary64)
(* (* (PI) (PI)) 1/12)
(.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64))
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
1/12
#s(literal 1/12 binary64)
(/ (* 1/3 (- (* (* (PI) (PI)) 1/4) (pow (asin (* (* x (sqrt t)) (/ 1/18 (* y z)))) 2))) (+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (asin (/ (* x (sqrt t)) (* (* z y) 18)))))
(/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))) #s(literal 2 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/12 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)))))))
(* 1/3 (- (* (* (PI) (PI)) 1/4) (pow (asin (* (* x (sqrt t)) (/ 1/18 (* y z)))) 2)))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))) #s(literal 2 binary64)) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64)))
1/3
#s(literal 1/3 binary64)
(- (* (* (PI) (PI)) 1/4) (pow (asin (* (* x (sqrt t)) (/ 1/18 (* y z)))) 2))
(-.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)))
(* (* (PI) (PI)) 1/4)
(.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)))
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
(PI)
(PI.f64)
1/4
#s(literal 1/4 binary64)
(pow (asin (* (* x (sqrt t)) (/ 1/18 (* y z)))) 2)
(pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64))
(asin (* (* x (sqrt t)) (/ 1/18 (* y z))))
(asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))
(* (* x (sqrt t)) (/ 1/18 (* y z)))
(/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))
(* x (sqrt t))
(*.f64 x (sqrt.f64 t))
x
(sqrt t)
(sqrt.f64 t)
t
(/ 1/18 (* y z))
(/.f64 #s(literal 1/18 binary64) (*.f64 y z))
1/18
#s(literal 1/18 binary64)
(* y z)
(*.f64 y z)
y
z
2
#s(literal 2 binary64)
(+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (asin (/ (* x (sqrt t)) (* (* z y) 18))))
(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))))))
(* 1/2 (sqrt (PI)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))
1/2
#s(literal 1/2 binary64)
(sqrt (PI))
(sqrt.f64 (PI.f64))
(asin (/ (* x (sqrt t)) (* (* z y) 18)))
(asin.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))))
(* (* z y) 18)
(.f64 z (.f64 y #s(literal 18 binary64)))
(* z y)
(*.f64 y z)
18
#s(literal 18 binary64)

localize266.0ms (0.7%)

Memory

-48.4MiB live, 468.4MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.5%	(.f64 #s(literal 1/3 binary64) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (.f64 (.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (.f64 y z)))) #s(literal 2 binary64))))
✓	accuracy	98.4%	(sqrt.f64 (PI.f64))
✓	accuracy	88.5%	(.f64 (.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))
✓	accuracy	88.4%	(/.f64 (.f64 x (sqrt.f64 t)) (.f64 (*.f64 z y) #s(literal 18 binary64)))
✓	accuracy	99.4%	(*.f64 x #s(literal -1/18 binary64))
✓	accuracy	98.4%	(.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64))
✓	accuracy	88.5%	(.f64 (.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))
✓	accuracy	88.3%	(/.f64 (.f64 (sqrt.f64 t) (.f64 x #s(literal -1/18 binary64))) (*.f64 y z))
✓	accuracy	98.5%	(.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (.f64 z y) #s(literal 18 binary64)))) #s(literal 4 binary64))) (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (.f64 z y) #s(literal 18 binary64))))) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (.f64 z y) #s(literal 18 binary64)))) #s(literal 2 binary64))))))
✓	accuracy	98.4%	(.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (.f64 z y) #s(literal 18 binary64))))) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (.f64 z y) #s(literal 18 binary64)))) #s(literal 2 binary64))))
✓	accuracy	98.4%	(.f64 (.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))
✓	accuracy	88.4%	(/.f64 (.f64 x (sqrt.f64 t)) (.f64 (*.f64 z y) #s(literal 18 binary64)))
✓	accuracy	99.6%	(*.f64 x (sqrt.f64 t))
✓	accuracy	99.4%	(/.f64 #s(literal 1/18 binary64) (*.f64 y z))
✓	accuracy	98.5%	(.f64 #s(literal 1/3 binary64) (.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (.f64 (.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (.f64 y z))))) (/.f64 (acos.f64 (.f64 (.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (.f64 y z)))) (/.f64 #s(literal 1 binary64) (acos.f64 (.f64 (.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (*.f64 y z))))))))
✓	accuracy	88.5%	(.f64 (.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))

Samples

135.0ms

256×

valid

Compiler

Compiled 846 to 68 computations (92% saved)

Precisions

Click to see histograms. Total time spent on operations: 93.0ms

ival-mult: 33.0ms (35.4% of total)

const: 15.0ms (16.1% of total)

ival-div: 14.0ms (15% of total)

ival-pow2: 7.0ms (7.5% of total)

ival-add: 5.0ms (5.4% of total)

ival-asin: 5.0ms (5.4% of total)

ival-sqrt: 5.0ms (5.4% of total)

ival-acos: 3.0ms (3.2% of total)

ival-pow: 3.0ms (3.2% of total)

ival-sub: 2.0ms (2.1% of total)

ival-pi: 1.0ms (1.1% of total)

exact: 1.0ms (1.1% of total)

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

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

series99.0ms (0.3%)

Memory

2.8MiB live, 160.6MiB allocated

Counts

26 → 924

Calls

Call 1

Inputs
#<alt (* (/ 1 (acos (* (* x (sqrt t)) (/ 1/18 (* y z))))) (/ (acos (* (* x (sqrt t)) (/ 1/18 (* y z)))) (/ 1 (acos (* (* x (sqrt t)) (/ 1/18 (* y z)))))))>
#<alt (/ (acos (* (* x (sqrt t)) (/ 1/18 (* y z)))) (/ 1 (acos (* (* x (sqrt t)) (/ 1/18 (* y z))))))>
#<alt (* 1/3 (* (/ 1 (acos (* (* x (sqrt t)) (/ 1/18 (* y z))))) (/ (acos (* (* x (sqrt t)) (/ 1/18 (* y z)))) (/ 1 (acos (* (* x (sqrt t)) (/ 1/18 (* y z))))))))>
#<alt (/ 1 (acos (* (* x (sqrt t)) (/ 1/18 (* y z)))))>
#<alt (* 1/3 (/ (- (* (* (* (PI) (PI)) (* (PI) (PI))) 1/16) (pow (asin (/ (* x (sqrt t)) (* (* z y) 18))) 4)) (* (+ (* (PI) 1/2) (asin (/ (* x (sqrt t)) (* (* z y) 18)))) (+ (* (PI) (* (PI) 1/4)) (pow (asin (/ (* x (sqrt t)) (* (* z y) 18))) 2)))))>
#<alt (/ (- (* (* (* (PI) (PI)) (* (PI) (PI))) 1/16) (pow (asin (/ (* x (sqrt t)) (* (* z y) 18))) 4)) (* (+ (* (PI) 1/2) (asin (/ (* x (sqrt t)) (* (* z y) 18)))) (+ (* (PI) (* (PI) 1/4)) (pow (asin (/ (* x (sqrt t)) (* (* z y) 18))) 2))))>
#<alt (- (* (* (* (PI) (PI)) (* (PI) (PI))) 1/16) (pow (asin (/ (* x (sqrt t)) (* (* z y) 18))) 4))>
#<alt (* (* (* (PI) (PI)) (* (PI) (PI))) 1/16)>
#<alt (* (/ 1 (+ (* (PI) 1/2) (asin (* (* x (sqrt t)) (/ 1/18 (* y z)))))) (+ (* (pow (asin (/ (* (sqrt t) (* x -1/18)) (* y z))) 2) -1/3) (* (* (PI) (PI)) 1/12)))>
#<alt (/ 1 (+ (* (PI) 1/2) (asin (* (* x (sqrt t)) (/ 1/18 (* y z))))))>
#<alt (+ (* (PI) 1/2) (asin (* (* x (sqrt t)) (/ 1/18 (* y z)))))>
#<alt (PI)>
#<alt (+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (asin (/ (* x (sqrt t)) (* (* z y) 18))))>
#<alt (* 1/3 (- (* (* (PI) (PI)) 1/4) (pow (asin (* (* x (sqrt t)) (/ 1/18 (* y z)))) 2)))>
#<alt (/ (* 1/3 (- (* (* (PI) (PI)) 1/4) (pow (asin (* (* x (sqrt t)) (/ 1/18 (* y z)))) 2))) (+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (asin (/ (* x (sqrt t)) (* (* z y) 18)))))>
#<alt (- (* (* (PI) (PI)) 1/4) (pow (asin (* (* x (sqrt t)) (/ 1/18 (* y z)))) 2))>
#<alt (* (* x (sqrt t)) (/ 1/18 (* y z)))>
#<alt (/ 1/18 (* y z))>
#<alt (* x (sqrt t))>
#<alt (/ (* x (sqrt t)) (* (* z y) 18))>
#<alt (* (* (PI) (PI)) (* (PI) (PI)))>
#<alt (* (+ (* (PI) 1/2) (asin (/ (* x (sqrt t)) (* (* z y) 18)))) (+ (* (PI) (* (PI) 1/4)) (pow (asin (/ (* x (sqrt t)) (* (* z y) 18))) 2)))>
#<alt (/ (* (sqrt t) (* x -1/18)) (* y z))>
#<alt (* (* (PI) (PI)) 1/12)>
#<alt (* x -1/18)>
#<alt (sqrt (PI))>

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

Calls

231 calls:

Time	Variable		Point	Expression
21.0ms	z	@	-inf	(/ 1 (acos (* (* x (sqrt t)) (/ 1/18 (* y z)))))
4.0ms	z	@	inf	(* 1/3 (/ (- (* (* (* (PI) (PI)) (* (PI) (PI))) 1/16) (pow (asin (/ (* x (sqrt t)) (* (* z y) 18))) 4)) (* (+ (* (PI) 1/2) (asin (/ (* x (sqrt t)) (* (* z y) 18)))) (+ (* (PI) (* (PI) 1/4)) (pow (asin (/ (* x (sqrt t)) (* (* z y) 18))) 2)))))
3.0ms	t	@	-inf	(* 1/3 (/ (- (* (* (* (PI) (PI)) (* (PI) (PI))) 1/16) (pow (asin (/ (* x (sqrt t)) (* (* z y) 18))) 4)) (* (+ (* (PI) 1/2) (asin (/ (* x (sqrt t)) (* (* z y) 18)))) (+ (* (PI) (* (PI) 1/4)) (pow (asin (/ (* x (sqrt t)) (* (* z y) 18))) 2)))))
3.0ms	x	@	0	(* 1/3 (/ (- (* (* (* (PI) (PI)) (* (PI) (PI))) 1/16) (pow (asin (/ (* x (sqrt t)) (* (* z y) 18))) 4)) (* (+ (* (PI) 1/2) (asin (/ (* x (sqrt t)) (* (* z y) 18)))) (+ (* (PI) (* (PI) 1/4)) (pow (asin (/ (* x (sqrt t)) (* (* z y) 18))) 2)))))
2.0ms	z	@	-inf	(* 1/3 (/ (- (* (* (* (PI) (PI)) (* (PI) (PI))) 1/16) (pow (asin (/ (* x (sqrt t)) (* (* z y) 18))) 4)) (* (+ (* (PI) 1/2) (asin (/ (* x (sqrt t)) (* (* z y) 18)))) (+ (* (PI) (* (PI) 1/4)) (pow (asin (/ (* x (sqrt t)) (* (* z y) 18))) 2)))))

rewrite899.0ms (2.5%)

Memory

34.7MiB live, 624.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 736×	`-lowering-.f32`
4 736×	`-lowering-.f64`
3 968×	`accelerator-lowering-fma.f32`
3 968×	`accelerator-lowering-fma.f64`
3 414×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	483
1	358	329
2	2915	319
0	8485	314

Stop Event

1×	iter limit
1×	node limit

Counts

26 → 1 471

Calls

Call 1

Inputs
(* (/ 1 (acos (* (* x (sqrt t)) (/ 1/18 (* y z))))) (/ (acos (* (* x (sqrt t)) (/ 1/18 (* y z)))) (/ 1 (acos (* (* x (sqrt t)) (/ 1/18 (* y z)))))))
(/ (acos (* (* x (sqrt t)) (/ 1/18 (* y z)))) (/ 1 (acos (* (* x (sqrt t)) (/ 1/18 (* y z))))))
(* 1/3 (* (/ 1 (acos (* (* x (sqrt t)) (/ 1/18 (* y z))))) (/ (acos (* (* x (sqrt t)) (/ 1/18 (* y z)))) (/ 1 (acos (* (* x (sqrt t)) (/ 1/18 (* y z))))))))
(/ 1 (acos (* (* x (sqrt t)) (/ 1/18 (* y z)))))
(* 1/3 (/ (- (* (* (* (PI) (PI)) (* (PI) (PI))) 1/16) (pow (asin (/ (* x (sqrt t)) (* (* z y) 18))) 4)) (* (+ (* (PI) 1/2) (asin (/ (* x (sqrt t)) (* (* z y) 18)))) (+ (* (PI) (* (PI) 1/4)) (pow (asin (/ (* x (sqrt t)) (* (* z y) 18))) 2)))))
(/ (- (* (* (* (PI) (PI)) (* (PI) (PI))) 1/16) (pow (asin (/ (* x (sqrt t)) (* (* z y) 18))) 4)) (* (+ (* (PI) 1/2) (asin (/ (* x (sqrt t)) (* (* z y) 18)))) (+ (* (PI) (* (PI) 1/4)) (pow (asin (/ (* x (sqrt t)) (* (* z y) 18))) 2))))
(- (* (* (* (PI) (PI)) (* (PI) (PI))) 1/16) (pow (asin (/ (* x (sqrt t)) (* (* z y) 18))) 4))
(* (* (* (PI) (PI)) (* (PI) (PI))) 1/16)
(* (/ 1 (+ (* (PI) 1/2) (asin (* (* x (sqrt t)) (/ 1/18 (* y z)))))) (+ (* (pow (asin (/ (* (sqrt t) (* x -1/18)) (* y z))) 2) -1/3) (* (* (PI) (PI)) 1/12)))
(/ 1 (+ (* (PI) 1/2) (asin (* (* x (sqrt t)) (/ 1/18 (* y z))))))
(+ (* (PI) 1/2) (asin (* (* x (sqrt t)) (/ 1/18 (* y z)))))
(PI)
(+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (asin (/ (* x (sqrt t)) (* (* z y) 18))))
(* 1/3 (- (* (* (PI) (PI)) 1/4) (pow (asin (* (* x (sqrt t)) (/ 1/18 (* y z)))) 2)))
(/ (* 1/3 (- (* (* (PI) (PI)) 1/4) (pow (asin (* (* x (sqrt t)) (/ 1/18 (* y z)))) 2))) (+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (asin (/ (* x (sqrt t)) (* (* z y) 18)))))
(- (* (* (PI) (PI)) 1/4) (pow (asin (* (* x (sqrt t)) (/ 1/18 (* y z)))) 2))
(* (* x (sqrt t)) (/ 1/18 (* y z)))
(/ 1/18 (* y z))
(* x (sqrt t))
(/ (* x (sqrt t)) (* (* z y) 18))
(* (* (PI) (PI)) (* (PI) (PI)))
(* (+ (* (PI) 1/2) (asin (/ (* x (sqrt t)) (* (* z y) 18)))) (+ (* (PI) (* (PI) 1/4)) (pow (asin (/ (* x (sqrt t)) (* (* z y) 18))) 2)))
(/ (* (sqrt t) (* x -1/18)) (* y z))
(* (* (PI) (PI)) 1/12)
(* x -1/18)
(sqrt (PI))

Outputs
(acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (*.f64 y z) #s(literal 18 binary64))))
(+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (.f64 (.f64 x (sqrt.f64 t)) #s(literal -1/18 binary64)) (.f64 y z))))
(+.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/16 binary64)))) (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (.f64 y z) #s(literal 18 binary64))))) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (.f64 y z) #s(literal 18 binary64)))) #s(literal 2 binary64))))) (neg.f64 (/.f64 (pow.f64 (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (.f64 y z) #s(literal 18 binary64)))) #s(literal 4 binary64)) (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (.f64 y z) #s(literal 18 binary64))))) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (*.f64 y z) #s(literal 18 binary64)))) #s(literal 2 binary64)))))))
(+.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal 1/2 binary64))) (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (*.f64 y z) #s(literal 18 binary64)))))
(exp.f64 (.f64 (log.f64 (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (.f64 y z) #s(literal 18 binary64))))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (.f64 y z) #s(literal 18 binary64)))))) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (*.f64 y z) #s(literal 18 binary64))))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (.f64 (log.f64 (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (.f64 y z) #s(literal 18 binary64))))) #s(literal -1 binary64))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (*.f64 y z) #s(literal -18 binary64)))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 (.f64 x (sqrt.f64 t))) (.f64 (*.f64 y z) #s(literal 18 binary64)))))
(-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (.f64 y z) #s(literal 18 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/16 binary64)))) (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (.f64 y z) #s(literal 18 binary64))))) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (.f64 y z) #s(literal 18 binary64)))) #s(literal 2 binary64))))) (/.f64 (pow.f64 (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (.f64 y z) #s(literal 18 binary64)))) #s(literal 4 binary64)) (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (.f64 y z) #s(literal 18 binary64))))) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (*.f64 y z) #s(literal 18 binary64)))) #s(literal 2 binary64))))))
(-.f64 (/.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (.f64 y z) #s(literal 18 binary64)))))) (/.f64 (pow.f64 (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (.f64 y z) #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 (*.f64 y z) #s(literal 18 binary64)))))))
(-.f64 (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (.f64 y z) #s(literal 18 binary64)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (.f64 (.f64 x (sqrt.f64 t)) #s(literal -1/18 binary64)) (.f64 y z))))
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(.f64 (/.f64 (sqrt.f64 t) z) (/.f64 (.f64 x #s(literal -1/18 binary64)) y))
(.f64 (/.f64 (.f64 x (sqrt.f64 t)) y) (/.f64 #s(literal -1/18 binary64) z))
(.f64 (/.f64 (.f64 x (sqrt.f64 t)) z) (/.f64 #s(literal -1/18 binary64) y))
(.f64 (/.f64 (.f64 x #s(literal -1/18 binary64)) y) (/.f64 (sqrt.f64 t) z))
(.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 z (.f64 (*.f64 x (sqrt.f64 t)) #s(literal -1/18 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (.f64 (*.f64 x (sqrt.f64 t)) #s(literal -1/18 binary64)) y))
(.f64 (pow.f64 (/.f64 z (sqrt.f64 t)) #s(literal -1 binary64)) (pow.f64 (/.f64 y (.f64 x #s(literal -1/18 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 y (.f64 x (sqrt.f64 t))) #s(literal -1 binary64)) (pow.f64 (/.f64 z #s(literal -1/18 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 y (.f64 x #s(literal -1/18 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 z (sqrt.f64 t)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 z (.f64 x (sqrt.f64 t))) #s(literal -1 binary64)) (pow.f64 (/.f64 y #s(literal -1/18 binary64)) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/12 binary64))))
(.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/12 binary64)))
(.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64))
(.f64 #s(literal 1/12 binary64) (.f64 (PI.f64) (PI.f64)))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (*.f64 (PI.f64) #s(literal 1/12 binary64))))
(.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 (cbrt.f64 (PI.f64)) (*.f64 (PI.f64) #s(literal 1/12 binary64))))
(.f64 (.f64 (PI.f64) #s(literal 1/12 binary64)) (PI.f64))
(*.f64 x #s(literal -1/18 binary64))
(*.f64 #s(literal -1/18 binary64) x)
(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 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 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) (.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64))
(*.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)))

simplify2.0s (5.5%)

Memory

-9.3MiB live, 632.4MiB allocated

Algorithm

1×	egg-herbie

Rules

8 824×	`accelerator-lowering-fma.f32`
8 824×	`accelerator-lowering-fma.f64`
5 286×	`-lowering-.f32`
5 286×	`-lowering-.f64`
2 056×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	20228
1	195	19876
2	589	19788
3	1806	19788
4	3793	19788
5	7405	19788
0	8157	19068

Stop Event

1×	iter limit
1×	node limit

Counts

924 → 924

Calls

Call 1

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

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

eval4.5s (12.5%)

Memory: 7.1MiB live, 1 344.6MiB allocated
Compiler: Compiled 229 190 to 9 611 computations (95.8% saved)

prune1.0s (2.8%)

Memory

22.8MiB live, 853.9MiB allocated

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	4 433	3	4 436
Fresh	0	0	0
Picked	4	0	4
Done	1	2	3
Total	4 438	5	4 443

Accuracy

100.0%

Counts

4 443 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.9%	(/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (*.f64 y z) #s(literal 18 binary64))))))
	96.9%	(.f64 (pow.f64 (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (.f64 y z) #s(literal 18 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (*.f64 y z) #s(literal 18 binary64))))))
	98.4%	(.f64 (-.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (.f64 y z) #s(literal 18 binary64)))) #s(literal 2 binary64))) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (.f64 y z) #s(literal 18 binary64))))))))
✓	96.6%	(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) y))) z)))
✓	98.0%	(.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 778 to 231 computations (70.3% saved)

regimes95.0ms (0.3%)

Memory

11.9MiB live, 207.4MiB allocated

Counts

19 → 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 x (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) y))) z)))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z))) (sqrt.f64 t))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (.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) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (*.f64 y z) #s(literal 18 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(.f64 (pow.f64 (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (.f64 y z) #s(literal 18 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (*.f64 y z) #s(literal 18 binary64))))))
(/.f64 (.f64 #s(literal 1/3 binary64) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (.f64 (.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (.f64 y z)))) #s(literal 2 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (.f64 (.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (*.f64 y z))))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (.f64 (.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (.f64 y z)))))) (fma.f64 (pow.f64 (asin.f64 (/.f64 (.f64 (sqrt.f64 t) (.f64 x #s(literal -1/18 binary64))) (.f64 y z))) #s(literal 2 binary64)) #s(literal -1/3 binary64) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64))))
(.f64 (-.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (.f64 y z) #s(literal 18 binary64)))) #s(literal 2 binary64))) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (.f64 y z) #s(literal 18 binary64))))))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (.f64 (.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (.f64 y z)))))) (.f64 #s(literal 1/3 binary64) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (.f64 (.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (.f64 y z)))) #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 3 binary64) (sqrt.f64 t))) (.f64 z (.f64 #s(literal 54 binary64) y)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 3 binary64) (sqrt.f64 t))) (.f64 z (*.f64 #s(literal 54 binary64) y))))))
(/.f64 (.f64 #s(literal 1/3 binary64) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (.f64 (.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (.f64 y z)))) #s(literal 2 binary64)))) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (.f64 z y) #s(literal 18 binary64))))))
(.f64 #s(literal 1/3 binary64) (.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (.f64 (.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (.f64 y z))))) (/.f64 (acos.f64 (.f64 (.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (.f64 y z)))) (/.f64 #s(literal 1 binary64) (acos.f64 (.f64 (.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (*.f64 y z))))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 3 binary64) (sqrt.f64 t))) (.f64 z (.f64 #s(literal 54 binary64) y)))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 3 binary64) (sqrt.f64 t))) (.f64 z (.f64 #s(literal 54 binary64) y)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 3 binary64) (sqrt.f64 t))) (.f64 z (.f64 #s(literal 54 binary64) y))))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
(.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (.f64 z y) #s(literal 18 binary64)))) #s(literal 4 binary64))) (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (.f64 z y) #s(literal 18 binary64))))) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (.f64 z y) #s(literal 18 binary64)))) #s(literal 2 binary64))))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (.f64 (.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (.f64 y z)))) #s(literal 2 binary64))) (.f64 (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (.f64 (.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (.f64 y z)))) #s(literal 4 binary64))) #s(literal 1/3 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 3 binary64) (sqrt.f64 t))) (.f64 z (.f64 #s(literal 54 binary64) y))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 3 binary64) (sqrt.f64 t))) (.f64 z (.f64 #s(literal 54 binary64) y)))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 3 binary64) (sqrt.f64 t))) (.f64 z (.f64 #s(literal 54 binary64) y)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 3 binary64) (sqrt.f64 t))) (.f64 z (.f64 #s(literal 54 binary64) y))))) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))

Outputs

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

Calls

13 calls:

20.0ms	t
9.0ms	(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
8.0ms	y
7.0ms	(/.f64 x (*.f64 y #s(literal 27 binary64)))
7.0ms	(*.f64 z #s(literal 2 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)

regimes110.0ms (0.3%)

Memory

11.3MiB live, 171.4MiB allocated

Counts

16 → 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 x (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) y))) z)))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z))) (sqrt.f64 t))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (.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) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (*.f64 y z) #s(literal 18 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(.f64 (pow.f64 (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (.f64 y z) #s(literal 18 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (*.f64 y z) #s(literal 18 binary64))))))
(/.f64 (.f64 #s(literal 1/3 binary64) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (.f64 (.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (.f64 y z)))) #s(literal 2 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (.f64 (.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (*.f64 y z))))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (.f64 (.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (.f64 y z)))))) (fma.f64 (pow.f64 (asin.f64 (/.f64 (.f64 (sqrt.f64 t) (.f64 x #s(literal -1/18 binary64))) (.f64 y z))) #s(literal 2 binary64)) #s(literal -1/3 binary64) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64))))
(.f64 (-.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (.f64 y z) #s(literal 18 binary64)))) #s(literal 2 binary64))) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (.f64 y z) #s(literal 18 binary64))))))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (.f64 (.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (.f64 y z)))))) (.f64 #s(literal 1/3 binary64) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (.f64 (.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (.f64 y z)))) #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 3 binary64) (sqrt.f64 t))) (.f64 z (.f64 #s(literal 54 binary64) y)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 3 binary64) (sqrt.f64 t))) (.f64 z (*.f64 #s(literal 54 binary64) y))))))
(/.f64 (.f64 #s(literal 1/3 binary64) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (.f64 (.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (.f64 y z)))) #s(literal 2 binary64)))) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (asin.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 (.f64 z y) #s(literal 18 binary64))))))
(.f64 #s(literal 1/3 binary64) (.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (.f64 (.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (.f64 y z))))) (/.f64 (acos.f64 (.f64 (.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (.f64 y z)))) (/.f64 #s(literal 1 binary64) (acos.f64 (.f64 (.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (*.f64 y z))))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 3 binary64) (sqrt.f64 t))) (.f64 z (.f64 #s(literal 54 binary64) y)))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 3 binary64) (sqrt.f64 t))) (.f64 z (.f64 #s(literal 54 binary64) y)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 3 binary64) (sqrt.f64 t))) (.f64 z (.f64 #s(literal 54 binary64) y))))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))

Outputs

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

Calls

13 calls:

44.0ms	(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))
10.0ms	z
7.0ms	(sqrt.f64 t)
5.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
5.0ms	(*.f64 z #s(literal 2 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)

regimes52.0ms (0.1%)

Memory

-13.9MiB live, 110.8MiB allocated

Counts

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

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:

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

Results

Accuracy	Segments	Branch
98.1%	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)

regimes29.0ms (0.1%)

Memory

-0.8MiB live, 77.2MiB allocated

Accuracy

Total -1.9b remaining (-146.5%)

Threshold costs -1.9b (-146.5%)

Counts

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

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	(*.f64 z #s(literal 2 binary64))
3.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
2.0ms	y
2.0ms	(sqrt.f64 t)
2.0ms	(*.f64 y #s(literal 27 binary64))

Results

Accuracy	Segments	Branch
98.0%	1	`x`
98.0%	1	`y`
98.0%	1	`z`
98.0%	1	`t`
98.0%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))`
98.0%	1	`(acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))`
98.0%	1	`(.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t))`
98.0%	1	`(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))`
98.0%	1	`(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))`
98.0%	1	`(/.f64 x (*.f64 y #s(literal 27 binary64)))`
98.0%	1	`(*.f64 y #s(literal 27 binary64))`
98.0%	1	`(*.f64 z #s(literal 2 binary64))`
98.0%	1	`(sqrt.f64 t)`

Compiler

Compiled 135 to 108 computations (20% saved)

simplify20.0ms (0.1%)

Memory

-16.0MiB live, 24.4MiB allocated

Algorithm

1×	egg-herbie

Rules

40×	`*-commutative_binary64`
8×	`+-commutative_binary64`
8×	`sub-neg_binary64`
4×	`neg-sub0_binary64`
4×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	127
1	84	127
2	91	127
3	95	127
4	97	127

Stop Event

1×

saturated

Calls

Call 1

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

soundness598.0ms (1.6%)

Memory

-23.3MiB live, 602.8MiB allocated

Rules

5 832×	`-lowering-.f32`
5 832×	`-lowering-.f64`
4 986×	`accelerator-lowering-fma.f32`
4 986×	`accelerator-lowering-fma.f64`
4 876×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	60	538
1	295	286
2	2262	285
0	8464	282
0	66	483
1	358	329
2	2915	319
0	8485	314
0	58	316
1	267	286
2	2037	266
0	8542	266
0	19	50
1	59	42
2	377	36
3	3741	36
0	8207	36

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 249 to 146 computations (41.4% saved)

preprocess75.0ms (0.2%)

Memory: 22.3MiB live, 219.4MiB allocated
Remove: (sort y z)
Compiler: Compiled 980 to 472 computations (51.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze330.0ms (0.9%)

sample5.4s (14.8%)

preprocess158.0ms (0.4%)

explain227.0ms (0.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify101.0ms (0.3%)

localize51.0ms (0.1%)

series26.0ms (0.1%)

rewrite296.0ms (0.8%)

simplify235.0ms (0.6%)

eval216.0ms (0.6%)

prune105.0ms (0.3%)

simplify261.0ms (0.7%)

localize413.0ms (1.1%)

series101.0ms (0.3%)

rewrite622.0ms (1.7%)

simplify588.0ms (1.6%)

eval967.0ms (2.7%)

prune726.0ms (2%)

simplify397.0ms (1.1%)

localize337.0ms (0.9%)

series56.0ms (0.2%)

rewrite10.0s (27.4%)

simplify383.0ms (1.1%)

eval897.0ms (2.5%)

prune3.4s (9.3%)

simplify329.0ms (0.9%)

localize266.0ms (0.7%)

series99.0ms (0.3%)

rewrite899.0ms (2.5%)

simplify2.0s (5.5%)

eval4.5s (12.5%)

prune1.0s (2.8%)

regimes95.0ms (0.3%)

regimes110.0ms (0.3%)

regimes52.0ms (0.1%)

regimes29.0ms (0.1%)

simplify20.0ms (0.1%)

soundness598.0ms (1.6%)

preprocess75.0ms (0.2%)

end0.0ms (0%)

Profiling