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

analyze343.0ms (1.4%)

Memory

-17.0MiB live, 709.9MiB 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)

sample4.9s (19.8%)

Memory

128.7MiB live, 6 389.8MiB allocated

Samples

2.3s	15 598×	0	invalid
1.4s	8 256×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 2.4s

ival-mult: 1.2s (52.3% of total)

ival-div: 653.0ms (27.4% of total)

ival-sqrt: 224.0ms (9.4% of total)

ival-acos: 189.0ms (7.9% of total)

exact: 39.0ms (1.6% of total)

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

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

Bogosity

preprocess162.0ms (0.7%)

Memory

-5.1MiB live, 194.3MiB 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 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 x (sqrt.f64 t)) z) y))))

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)

explain611.0ms (2.5%)

Memory

-20.9MiB live, 356.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
25	-	3	(8.867569518712058e-237 -1.553983308627187e+83 1.407587180579822e-177 2.2919485750517967e-108)	`(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))`
16	-	3	(-5.898182129039209e-271 2.6803025348734816e-110 1.2806075920190008e+155 4003314446804525000.0)	`(.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t))`
1	-	0	-	`(/.f64 x (*.f64 y #s(literal 27 binary64)))`
0	-	0	-	`t`
0	-	0	-	`#s(literal 3 binary64)`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))`
0	-	0	-	`(*.f64 y #s(literal 27 binary64))`
0	-	0	-	`y`
0	-	0	-	`#s(literal 27 binary64)`
0	-	0	-	`z`
0	-	0	-	`(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))`
0	-	0	-	`(acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`(*.f64 z #s(literal 2 binary64))`
0	-	0	-	`(sqrt.f64 t)`
0	-	0	-	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))`	u/n	20	0
↳	`(/.f64 x (*.f64 y #s(literal 27 binary64)))`	underflow	60
↳	`(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))`	underflow	60
`*.f64`	`(.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t))`	*nu**	13	0
`/.f64`	`(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))`	n/o	1	0
↳	`(*.f64 z #s(literal 2 binary64))`	overflow	1
`/.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 y #s(literal 27 binary64))`	overflow	1
↳	`(/.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
`/.f64`	`(/.f64 x (*.f64 y #s(literal 27 binary64)))`	n/o	1	0
↳	`(*.f64 y #s(literal 27 binary64))`	overflow	1

Confusion

	Predicted +	Predicted -
+	2	0
-	34	220

Precision

0.05555555555555555

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	2	0	0
-	34	0	220

Precision?

0.05555555555555555

Recall?

1.0

Freqs

test

number	freq
0	220
1	36

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

79.0ms

512×

valid

Compiler

Compiled 230 to 76 computations (67% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-mult: 15.0ms (42.5% of total)

ival-div: 11.0ms (31.1% of total)

ival-sqrt: 4.0ms (11.3% of total)

ival-acos: 4.0ms (11.3% of total)

exact: 1.0ms (2.8% of total)

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.9%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))

Status

Accuracy

Program

▶

97.9%

(*.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)

simplify91.0ms (0.4%)

Memory

1.9MiB live, 80.4MiB 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	128	(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))
✓	cost-diff	128	(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
✓	cost-diff	128	(/.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 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 x (sqrt.f64 t)) z) y))))
(/ 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 #s(literal 1/18 binary64) (/.f64 (/.f64 (.f64 x (sqrt.f64 t)) z) y)))
(* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))
(.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (.f64 x (sqrt.f64 t)) z) y))
(/ (* 3 (/ x (* y 27))) (* z 2))
(/.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) 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

localize53.0ms (0.2%)

Memory

-6.0MiB live, 111.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.3%	(/.f64 x (*.f64 y #s(literal 27 binary64)))
✓	accuracy	98.5%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
✓	accuracy	95.3%	(.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	91.5%	(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))

Samples

29.0ms

256×

valid

Compiler

Compiled 92 to 20 computations (78.3% saved)

Precisions

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

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

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

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

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

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

exact: 0.0ms (0% of total)

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

series29.0ms (0.1%)

Memory

12.9MiB live, 51.0MiB allocated

Counts

6 → 180

Calls

Call 1

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

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

Calls

45 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(/ x (* y 27))
3.0ms	x	@	inf	(* (/ (* 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))

rewrite325.0ms (1.3%)

Memory

-10.4MiB live, 485.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 588

Calls

Call 1

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

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

simplify189.0ms (0.8%)

Memory

15.4MiB live, 287.4MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

Calls

Call 1

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

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

eval102.0ms (0.4%)

Memory: 0.1MiB live, 239.9MiB allocated
Compiler: Compiled 14 454 to 3 057 computations (78.9% saved)

prune151.0ms (0.6%)

Memory

7.2MiB live, 203.1MiB allocated

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	766	2	768
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	767	2	769

Accuracy

98.5%

Counts

769 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.1%	(.f64 (acos.f64 (/.f64 (sqrt.f64 t) (.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) #s(literal 1/3 binary64))
▶	97.7%	(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) y) z)))

Status

Accuracy

Program

▶

98.1%

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

▶

97.7%

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

Compiler

Compiled 34 to 26 computations (23.5% saved)

simplify22.0ms (0.1%)

Memory

-19.7MiB live, 17.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Program
✓	cost-diff	(sqrt.f64 t)
✓	cost-diff	(/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))
✓	cost-diff	(acos.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y)))))
✓	cost-diff	(.f64 (acos.f64 (/.f64 (sqrt.f64 t) (.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) #s(literal 1/3 binary64))
✓	cost-diff	(/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) y)
✓	cost-diff	(/.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) y) z)
✓	cost-diff	(acos.f64 (/.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) y) z))
✓	cost-diff	(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) y) z)))

Rules

368×	`-lowering-.f32`
368×	`-lowering-.f64`
232×	`/-lowering-/.f32`
232×	`/-lowering-/.f64`
112×	`associate-/r*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	117
1	37	117
2	87	117
3	216	117
4	363	117
5	423	117
6	436	117
7	441	117
8	455	117
9	461	117
0	461	117

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize77.0ms (0.3%)

Memory

21.5MiB live, 133.5MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(/.f64 #s(literal 18 binary64) (/.f64 x y))
✓	accuracy	98.5%	(.f64 (acos.f64 (/.f64 (sqrt.f64 t) (.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) #s(literal 1/3 binary64))
✓	accuracy	94.7%	(/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))
✓	accuracy	91.7%	(*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y)))
✓	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 (.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) y) z)))
✓	accuracy	95.3%	(/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) y)
✓	accuracy	90.9%	(/.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) y) z)

Samples

50.0ms

256×

valid

Compiler

Compiled 119 to 22 computations (81.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-mult: 10.0ms (31.8% of total)

ival-div: 8.0ms (25.4% of total)

const: 6.0ms (19.1% of total)

ival-acos: 4.0ms (12.7% of total)

ival-sqrt: 2.0ms (6.4% of total)

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

exact: 0.0ms (0% of total)

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

series112.0ms (0.5%)

Memory

-1.0MiB live, 46.2MiB allocated

Counts

11 → 420

Calls

Call 1

Inputs
#<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))) y)>
#<alt (* (acos (/ (sqrt t) (* z (/ 18 (/ x y))))) 1/3)>
#<alt (acos (/ (sqrt t) (* z (/ 18 (/ x y)))))>
#<alt (/ (sqrt t) (* z (/ 18 (/ x y))))>
#<alt (sqrt t)>
#<alt (* 1/18 (* x (sqrt t)))>
#<alt (* z (/ 18 (/ x y)))>
#<alt (/ 18 (/ x y))>

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

Calls

105 calls:

Time	Variable		Point	Expression
91.0ms	y	@	-inf	(/ (* 1/18 (* x (sqrt t))) y)
1.0ms	t	@	-inf	(/ (* 1/18 (* x (sqrt t))) y)
1.0ms	x	@	inf	(* 1/18 (* x (sqrt t)))
1.0ms	x	@	0	(* z (/ 18 (/ x y)))
1.0ms	t	@	-inf	(* 1/18 (* x (sqrt t)))

rewrite445.0ms (1.8%)

Memory

2.6MiB live, 677.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 350×	`-lowering-.f32`
5 350×	`-lowering-.f64`
3 810×	`/-lowering-/.f32`
3 810×	`/-lowering-/.f64`
1 646×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	96
1	81	96
2	480	96
3	3982	96
0	8862	96

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 1 036

Calls

Call 1

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

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

simplify608.0ms (2.5%)

Memory

-166.4MiB live, 605.9MiB allocated

Algorithm

1×	egg-herbie

Rules

3 836×	`-lowering-.f32`
3 836×	`-lowering-.f64`
3 458×	`/-lowering-/.f32`
3 458×	`/-lowering-/.f64`
3 248×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	42	4172
1	95	4108
2	259	4092
3	958	4092
4	2082	4092
5	4355	4092
6	5345	4092
7	7285	4092
8	7820	4092
0	8044	4092

Stop Event

1×	iter limit
1×	node limit

Counts

420 → 420

Calls

Call 1

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

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

eval194.0ms (0.8%)

Memory: 15.9MiB live, 512.2MiB allocated
Compiler: Compiled 35 270 to 3 543 computations (90% saved)

prune314.0ms (1.3%)

Memory

3.3MiB live, 561.9MiB allocated

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	1 488	2	1 490
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	1 488	4	1 492

Accuracy

98.5%

Counts

1 492 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.1%	(.f64 (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 #s(literal 1/18 binary64) (/.f64 y x)))))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 (PI.f64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 #s(literal 1/18 binary64) (/.f64 y x))))))) (.f64 #s(literal 2 binary64) (-.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 #s(literal 1/18 binary64) (/.f64 y x))))) #s(literal 2 binary64))))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 #s(literal 1/18 binary64) (/.f64 y x))))))))) #s(literal 1/3 binary64))
▶	98.1%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 #s(literal 1/18 binary64) (/.f64 y x)))))) (-.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 #s(literal 1/18 binary64) (/.f64 y x))))) #s(literal 2 binary64))))) #s(literal 1/3 binary64))
✓	98.1%	(.f64 (acos.f64 (/.f64 (sqrt.f64 t) (.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) #s(literal 1/3 binary64))
✓	97.7%	(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) y) z)))

Compiler

Compiled 168 to 84 computations (50% saved)

simplify334.0ms (1.4%)

Memory

-1.2MiB live, 444.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 #s(literal 1/18 binary64) (/.f64 y x)))))))
✓	cost-diff	128	(.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 #s(literal 1/18 binary64) (/.f64 y x))))))))
✓	cost-diff	640	(-.f64 (.f64 (PI.f64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 #s(literal 1/18 binary64) (/.f64 y x))))))) (.f64 #s(literal 2 binary64) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 #s(literal 1/18 binary64) (/.f64 y x))))) #s(literal 2 binary64)))))
✓	cost-diff	27008	(-.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 #s(literal 1/18 binary64) (/.f64 y x)))))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 (PI.f64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 #s(literal 1/18 binary64) (/.f64 y x))))))) (.f64 #s(literal 2 binary64) (-.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 #s(literal 1/18 binary64) (/.f64 y x))))) #s(literal 2 binary64)))))))
✓	cost-diff	0	(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 #s(literal 1/18 binary64) (/.f64 y x))))))
✓	cost-diff	0	(/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 #s(literal 1/18 binary64) (/.f64 y x)))))) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 #s(literal 1/18 binary64) (/.f64 y x))))) #s(literal 2 binary64))))
✓	cost-diff	0	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 #s(literal 1/18 binary64) (/.f64 y x)))))) (-.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 #s(literal 1/18 binary64) (/.f64 y x))))) #s(literal 2 binary64))))) #s(literal 1/3 binary64))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 #s(literal 1/18 binary64) (/.f64 y x)))))) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 #s(literal 1/18 binary64) (/.f64 y x))))) #s(literal 2 binary64)))))

Rules

6 120×	`accelerator-lowering-fma.f32`
6 120×	`accelerator-lowering-fma.f64`
3 944×	`-lowering-.f32`
3 944×	`-lowering-.f64`
2 304×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	728
1	102	722
2	415	678
3	2046	620
4	7145	576
0	8423	559

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize369.0ms (1.5%)

Memory

-20.7MiB live, 614.5MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.5%	(.f64 (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 #s(literal 1/18 binary64) (/.f64 y x)))))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 (PI.f64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 #s(literal 1/18 binary64) (/.f64 y x))))))) (.f64 #s(literal 2 binary64) (-.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 #s(literal 1/18 binary64) (/.f64 y x))))) #s(literal 2 binary64))))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 #s(literal 1/18 binary64) (/.f64 y x))))))))) #s(literal 1/3 binary64))
✓	accuracy	94.7%	(/.f64 (sqrt.f64 t) (/.f64 z (/.f64 #s(literal 1/18 binary64) (/.f64 y x))))
✓	accuracy	92.3%	(/.f64 z (/.f64 #s(literal 1/18 binary64) (/.f64 y x)))
✓	accuracy	42.8%	(-.f64 (.f64 (PI.f64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 #s(literal 1/18 binary64) (/.f64 y x))))))) (.f64 #s(literal 2 binary64) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 #s(literal 1/18 binary64) (/.f64 y x))))) #s(literal 2 binary64)))))
✓	accuracy	98.8%	(/.f64 #s(literal 1/18 binary64) (/.f64 y x))
✓	accuracy	98.5%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 #s(literal 1/18 binary64) (/.f64 y x)))))) (-.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 #s(literal 1/18 binary64) (/.f64 y x))))) #s(literal 2 binary64))))) #s(literal 1/3 binary64))
✓	accuracy	94.7%	(/.f64 (sqrt.f64 t) (/.f64 z (/.f64 #s(literal 1/18 binary64) (/.f64 y x))))
✓	accuracy	92.3%	(/.f64 z (/.f64 #s(literal 1/18 binary64) (/.f64 y x)))

Samples

129.0ms	153×	2	valid
100.0ms	98×	1	valid
2.0ms	5×	0	valid

Compiler

Compiled 740 to 38 computations (94.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 171.0ms

ival-asin: 45.0ms (26.3% of total)

ival-div: 39.0ms (22.8% of total)

ival-mult: 33.0ms (19.3% of total)

const: 13.0ms (7.6% of total)

adjust: 12.0ms (7% of total)

ival-sub: 8.0ms (4.7% of total)

ival-pow2: 7.0ms (4.1% of total)

ival-pi: 5.0ms (2.9% of total)

ival-sqrt: 5.0ms (2.9% of total)

ival-add: 4.0ms (2.3% of total)

exact: 1.0ms (0.6% of total)

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

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

series101.0ms (0.4%)

Memory

9.5MiB live, 197.7MiB allocated

Counts

12 → 540

Calls

Call 1

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

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

Calls

135 calls:

Time	Variable		Point	Expression
10.0ms	y	@	inf	(/ 1 (/ (+ (/ (PI) 2) (asin (/ (sqrt t) (/ z (/ 1/18 (/ y x)))))) (- (/ (* (PI) (PI)) 4) (pow (asin (/ (sqrt t) (/ z (/ 1/18 (/ y x))))) 2))))
5.0ms	t	@	0	(- (* 1 (* 2 (+ (/ (PI) 2) (asin (/ (sqrt t) (/ z (/ 1/18 (/ y x)))))))) (* (/ 2 (PI)) (- (* (PI) (+ (/ (PI) 2) (asin (/ (sqrt t) (/ z (/ 1/18 (/ y x))))))) (* 2 (- (/ (* (PI) (PI)) 4) (pow (asin (/ (sqrt t) (/ z (/ 1/18 (/ y x))))) 2))))))
3.0ms	x	@	-inf	(* (/ (- (* 1 (* 2 (+ (/ (PI) 2) (asin (/ (sqrt t) (/ z (/ 1/18 (/ y x)))))))) (* (/ 2 (PI)) (- (* (PI) (+ (/ (PI) 2) (asin (/ (sqrt t) (/ z (/ 1/18 (/ y x))))))) (* 2 (- (/ (* (PI) (PI)) 4) (pow (asin (/ (sqrt t) (/ z (/ 1/18 (/ y x))))) 2)))))) (* (/ 2 (PI)) (* 2 (+ (/ (PI) 2) (asin (/ (sqrt t) (/ z (/ 1/18 (/ y x))))))))) 1/3)
3.0ms	x	@	-inf	(/ 1/18 (/ y x))
2.0ms	t	@	-inf	(- (* 1 (* 2 (+ (/ (PI) 2) (asin (/ (sqrt t) (/ z (/ 1/18 (/ y x)))))))) (* (/ 2 (PI)) (- (* (PI) (+ (/ (PI) 2) (asin (/ (sqrt t) (/ z (/ 1/18 (/ y x))))))) (* 2 (- (/ (* (PI) (PI)) 4) (pow (asin (/ (sqrt t) (/ z (/ 1/18 (/ y x))))) 2))))))

rewrite746.0ms (3%)

Memory

-13.9MiB live, 1 242.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 146×	`-lowering-.f32`
6 146×	`-lowering-.f64`
4 282×	`/-lowering-/.f32`
4 282×	`/-lowering-/.f64`
4 002×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	365
1	243	283
2	2299	251
0	9278	240

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 860

Calls

Call 1

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

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

simplify980.0ms (4%)

Memory

42.6MiB live, 946.5MiB allocated

Algorithm

1×	egg-herbie

Rules

9 708×	`accelerator-lowering-fma.f32`
9 708×	`accelerator-lowering-fma.f64`
5 128×	`-lowering-.f32`
5 128×	`-lowering-.f64`
2 902×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	17196
1	194	16980
2	595	16452
3	2186	14052
4	7383	13956
0	8311	13380

Stop Event

1×	iter limit
1×	node limit

Counts

540 → 540

Calls

Call 1

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

Outputs
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
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(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) x)) (.f64 y z))) #s(literal 2 binary64))) (+.f64 (asin.f64 (/.f64 (.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) x)) (.f64 y z))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
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(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
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(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
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(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
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(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) x)) (.f64 y z))) #s(literal 2 binary64))) (+.f64 (asin.f64 (/.f64 (.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) x)) (.f64 y z))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) x)) (.f64 y z))) #s(literal 2 binary64))) (+.f64 (asin.f64 (/.f64 (.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) x)) (.f64 y z))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(/ (- (* 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))))
(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (.f64 (sqrt.f64 t) (/.f64 (/.f64 (.f64 #s(literal -1/18 binary64) x) y) z))) #s(literal 2 binary64))) (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (.f64 (sqrt.f64 t) (/.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) z)))))
(/ (- (* 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))))
(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (.f64 (sqrt.f64 t) (/.f64 (/.f64 (.f64 #s(literal -1/18 binary64) x) y) z))) #s(literal 2 binary64))) (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (.f64 (sqrt.f64 t) (/.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) z)))))
(/ (- (* 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))))
(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (.f64 (sqrt.f64 t) (/.f64 (/.f64 (.f64 #s(literal -1/18 binary64) x) y) z))) #s(literal 2 binary64))) (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (.f64 (sqrt.f64 t) (/.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) z)))))
(/ (- (* 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))))
(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (.f64 (sqrt.f64 t) (/.f64 (/.f64 (.f64 #s(literal -1/18 binary64) x) y) z))) #s(literal 2 binary64))) (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (.f64 (sqrt.f64 t) (/.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) z)))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) x)) (.f64 y z))) #s(literal 2 binary64))) (+.f64 (asin.f64 (/.f64 (.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) x)) (.f64 y z))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) x)) (.f64 y z))) #s(literal 2 binary64))) (+.f64 (asin.f64 (/.f64 (.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) x)) (.f64 y z))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) x)) (.f64 y z))) #s(literal 2 binary64))) (+.f64 (asin.f64 (/.f64 (.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) x)) (.f64 y z))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
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(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) x)) (.f64 y z))) #s(literal 2 binary64))) (+.f64 (asin.f64 (/.f64 (.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) x)) (.f64 y z))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) x)) (.f64 y z))) #s(literal 2 binary64))) (+.f64 (asin.f64 (/.f64 (.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) x)) (.f64 y z))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) x)) (.f64 y z))) #s(literal 2 binary64))) (+.f64 (asin.f64 (/.f64 (.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) x)) (.f64 y z))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) x)) (.f64 y z))) #s(literal 2 binary64))) (+.f64 (asin.f64 (/.f64 (.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) x)) (.f64 y z))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
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(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
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(* 1/12 (/ (* (PI) (- (* 2 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) (* 2 (/ (- (* (PI) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) (* 2 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (PI))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
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(* 1/12 (/ (* (PI) (- (* 2 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) (* 2 (/ (- (* (PI) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) (* 2 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (PI))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
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(* 1/12 (/ (* (PI) (- (* 2 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) (* 2 (/ (- (* (PI) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) (* 2 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (PI))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
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(* 1/12 (/ (* (PI) (- (* 2 (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI)))) (* 2 (/ (- (* (PI) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI)))) (* 2 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))) (PI))))) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI)))))
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(* 1/12 (/ (* (PI) (- (* 2 (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI)))) (* 2 (/ (- (* (PI) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI)))) (* 2 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))) (PI))))) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI)))))
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(* 1/12 (/ (* (PI) (- (* 2 (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI)))) (* 2 (/ (- (* (PI) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI)))) (* 2 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))) (PI))))) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI)))))
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(* 1/12 (/ (* (PI) (- (* 2 (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI)))) (* 2 (/ (- (* (PI) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI)))) (* 2 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))) (PI))))) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI)))))
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(* 1/12 (/ (* (PI) (- (* 2 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) (* 2 (/ (- (* (PI) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) (* 2 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (PI))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
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(* 1/12 (/ (* (PI) (- (* 2 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) (* 2 (/ (- (* (PI) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) (* 2 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (PI))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
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(* 1/12 (/ (* (PI) (- (* 2 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) (* 2 (/ (- (* (PI) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) (* 2 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (PI))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
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(* 1/12 (/ (* (PI) (- (* 2 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) (* 2 (/ (- (* (PI) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) (* 2 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (PI))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
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(* 1/12 (/ (* (PI) (- (* 2 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) (* 2 (/ (- (* (PI) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) (* 2 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (PI))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
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(* 1/12 (/ (* (PI) (- (* 2 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) (* 2 (/ (- (* (PI) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) (* 2 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (PI))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
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(* 1/12 (/ (* (PI) (- (* 2 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) (* 2 (/ (- (* (PI) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) (* 2 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (PI))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
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(* 1/12 (/ (* (PI) (- (* 2 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) (* 2 (/ (- (* (PI) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) (* 2 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (PI))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
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(* 1/12 (/ (* (PI) (- (* 2 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) (* 2 (/ (- (* (PI) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) (* 2 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (PI))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
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(* 1/12 (/ (* (PI) (- (* 2 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) (* 2 (/ (- (* (PI) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) (* 2 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (PI))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
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(* 1/12 (/ (* (PI) (- (* 2 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) (* 2 (/ (- (* (PI) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) (* 2 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (PI))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
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(* 1/12 (/ (* (PI) (- (* 2 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) (* 2 (/ (- (* (PI) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) (* 2 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (PI))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
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(* 1/12 (/ (* (PI) (- (* 2 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) (* 2 (/ (- (* (PI) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) (* 2 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (PI))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
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(* 1/12 (/ (* (PI) (- (* 2 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) (* 2 (/ (- (* (PI) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) (* 2 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (PI))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
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(* 1/12 (/ (* (PI) (- (* 2 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) (* 2 (/ (- (* (PI) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) (* 2 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (PI))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
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(* 1/12 (/ (* (PI) (- (* 2 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) (* 2 (/ (- (* (PI) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) (* 2 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (PI))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
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(* 1/12 (/ (* (PI) (- (* 2 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) (* 2 (/ (- (* (PI) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) (* 2 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (PI))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
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(* 1/12 (/ (* (PI) (- (* 2 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) (* 2 (/ (- (* (PI) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) (* 2 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (PI))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
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(* 1/12 (/ (* (PI) (- (* 2 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) (* 2 (/ (- (* (PI) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) (* 2 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (PI))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
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(* 1/12 (/ (* (PI) (- (* 2 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) (* 2 (/ (- (* (PI) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) (* 2 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (PI))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
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(* 1/12 (/ (* (PI) (- (* 2 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) (* 2 (/ (- (* (PI) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) (* 2 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (PI))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
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(* 1/12 (/ (* (PI) (- (* 2 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) (* 2 (/ (- (* (PI) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) (* 2 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (PI))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
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(* 1/12 (/ (* (PI) (- (* 2 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) (* 2 (/ (- (* (PI) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) (* 2 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (PI))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
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(* 1/12 (/ (* (PI) (- (* 2 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) (* 2 (/ (- (* (PI) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) (* 2 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (PI))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
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(* 1/12 (/ (* (PI) (- (* 2 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) (* 2 (/ (- (* (PI) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) (* 2 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (PI))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
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(* 1/12 (/ (* (PI) (- (* 2 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) (* 2 (/ (- (* (PI) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) (* 2 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (PI))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
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(* 1/12 (/ (* (PI) (- (* 2 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) (* 2 (/ (- (* (PI) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) (* 2 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (PI))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
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(* 1/12 (/ (* (PI) (- (* 2 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) (* 2 (/ (- (* (PI) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) (* 2 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (PI))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
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(* 1/12 (/ (* (PI) (- (* 2 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) (* 2 (/ (- (* (PI) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) (* 2 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (PI))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
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(* 1/12 (/ (* (PI) (- (* 2 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) (* 2 (/ (- (* (PI) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) (* 2 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (PI))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
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(* 1/12 (/ (* (PI) (- (* 2 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) (* 2 (/ (- (* (PI) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) (* 2 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (PI))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
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(* 1/12 (/ (* (PI) (- (* 2 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) (* 2 (/ (- (* (PI) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) (* 2 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (PI))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
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(* 1/12 (/ (* (PI) (- (* 2 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) (* 2 (/ (- (* (PI) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) (* 2 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (PI))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
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(* 1/12 (/ (* (PI) (- (* 2 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) (* 2 (/ (- (* (PI) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) (* 2 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (PI))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
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(* 1/12 (/ (* (PI) (- (* 2 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) (* 2 (/ (- (* (PI) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) (* 2 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (PI))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(.f64 (PI.f64) (.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (.f64 #s(literal 2 binary64) (-.f64 (/.f64 (pow.f64 (asin.f64 (/.f64 (.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) x)) (.f64 y z))) #s(literal 2 binary64)) (PI.f64)) (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) #s(literal 1 binary64)))) (+.f64 (asin.f64 (/.f64 (.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) x)) (.f64 y z))) (.f64 (PI.f64) #s(literal 1/2 binary64)))))))
(* 1/12 (/ (* (PI) (- (* 2 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) (* 2 (/ (- (* (PI) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) (* 2 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (PI))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(.f64 (PI.f64) (.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (.f64 #s(literal 2 binary64) (-.f64 (/.f64 (pow.f64 (asin.f64 (/.f64 (.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) x)) (.f64 y z))) #s(literal 2 binary64)) (PI.f64)) (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) #s(literal 1 binary64)))) (+.f64 (asin.f64 (/.f64 (.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) x)) (.f64 y z))) (.f64 (PI.f64) #s(literal 1/2 binary64)))))))

eval701.0ms (2.9%)

Memory: 0.3MiB live, 1 342.5MiB allocated
Compiler: Compiled 252 767 to 7 900 computations (96.9% saved)

prune332.0ms (1.3%)

Memory

-15.5MiB live, 716.7MiB allocated

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	2 849	2	2 851
Fresh	0	0	0
Picked	2	0	2
Done	0	2	2
Total	2 851	4	2 855

Accuracy

100.0%

Counts

2 855 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.1%	(/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (*.f64 #s(literal 1/18 binary64) (/.f64 x y)))))))
▶	99.6%	(.f64 (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (.f64 #s(literal 1/18 binary64) (/.f64 x y)))))))) (-.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (*.f64 #s(literal 1/18 binary64) (/.f64 x y))))) #s(literal 2 binary64))))
✓	98.1%	(.f64 (acos.f64 (/.f64 (sqrt.f64 t) (.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) #s(literal 1/3 binary64))
✓	97.7%	(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) y) z)))

Compiler

Compiled 96 to 66 computations (31.3% saved)

simplify366.0ms (1.5%)

Memory

8.5MiB live, 239.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Rules

2 728×	`accelerator-lowering-fma.f32`
2 728×	`accelerator-lowering-fma.f64`
2 192×	`-lowering-.f32`
2 192×	`-lowering-.f64`
936×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	248
1	51	248
2	104	248
3	271	248
4	673	248
5	1192	248
6	1660	248
7	2333	248
8	3633	248
9	4569	248
10	4938	248
11	5107	248
12	5323	248
13	5323	248
14	5441	248
15	5473	248
16	5473	248
17	5473	248
18	5504	248
19	5524	248
20	5524	248
21	5540	248
0	5540	243

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize109.0ms (0.4%)

Memory

41.6MiB live, 192.9MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.5%	(*.f64 #s(literal 1/18 binary64) (/.f64 x y))
✓	accuracy	98.5%	(/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (*.f64 #s(literal 1/18 binary64) (/.f64 x y)))))))
✓	accuracy	94.7%	(/.f64 (sqrt.f64 t) (/.f64 z (*.f64 #s(literal 1/18 binary64) (/.f64 x y))))
✓	accuracy	92.3%	(/.f64 z (*.f64 #s(literal 1/18 binary64) (/.f64 x y)))
✓	accuracy	99.8%	(pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (*.f64 #s(literal 1/18 binary64) (/.f64 x y))))) #s(literal 2 binary64))
✓	accuracy	99.5%	(*.f64 #s(literal 1/18 binary64) (/.f64 x y))
✓	accuracy	94.7%	(/.f64 (sqrt.f64 t) (/.f64 z (*.f64 #s(literal 1/18 binary64) (/.f64 x y))))
✓	accuracy	92.3%	(/.f64 z (*.f64 #s(literal 1/18 binary64) (/.f64 x y)))

Samples

61.0ms

256×

valid

Compiler

Compiled 256 to 30 computations (88.3% saved)

Precisions

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

ival-div: 19.0ms (44.4% of total)

const: 7.0ms (16.4% of total)

ival-mult: 5.0ms (11.7% of total)

ival-acos: 2.0ms (4.7% of total)

ival-asin: 2.0ms (4.7% of total)

ival-sqrt: 2.0ms (4.7% of total)

ival-pow2: 2.0ms (4.7% of total)

ival-pi: 1.0ms (2.3% of total)

ival-add: 1.0ms (2.3% of total)

ival-sub: 1.0ms (2.3% of total)

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

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

exact: 0.0ms (0% of total)

series61.0ms (0.2%)

Memory

-14.2MiB live, 101.5MiB allocated

Counts

11 → 492

Calls

Call 1

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

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

Calls

123 calls:

Time	Variable		Point	Expression
19.0ms	t	@	inf	(* 1/3 (/ 1 (+ (/ (PI) 2) (asin (/ (sqrt t) (/ z (* 1/18 (/ x y))))))))
9.0ms	t	@	0	(* 1/3 (/ 1 (+ (/ (PI) 2) (asin (/ (sqrt t) (/ z (* 1/18 (/ x y))))))))
4.0ms	z	@	inf	(* 1/3 (/ 1 (+ (/ (PI) 2) (asin (/ (sqrt t) (/ z (* 1/18 (/ x y))))))))
3.0ms	t	@	-inf	(acos (/ (sqrt t) (/ z (* 1/18 (/ x y)))))
1.0ms	t	@	-inf	(* 1/3 (/ 1 (+ (/ (PI) 2) (asin (/ (sqrt t) (/ z (* 1/18 (/ x y))))))))

rewrite567.0ms (2.3%)

Memory

-43.9MiB live, 829.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 328×	`accelerator-lowering-fma.f32`
8 328×	`accelerator-lowering-fma.f64`
4 534×	`-lowering-.f32`
4 534×	`-lowering-.f64`
3 532×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	182
1	158	182
2	1095	134
0	8533	131

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 725

Calls

Call 1

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

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

simplify345.0ms (1.4%)

Memory

40.1MiB live, 504.9MiB allocated

Algorithm

1×	egg-herbie

Rules

4 606×	`-lowering-.f32`
4 606×	`-lowering-.f64`
2 562×	`/-lowering-/.f32`
2 562×	`/-lowering-/.f64`
1 828×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	7560
1	114	7452
2	291	7380
3	948	7380
4	3036	7380
5	4946	7380
6	6340	7380
0	8045	7140

Stop Event

1×	iter limit
1×	node limit

Counts

492 → 492

Calls

Call 1

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

eval4.4s (18.1%)

Memory: -3.3MiB live, 581.4MiB allocated
Compiler: Compiled 70 147 to 3 767 computations (94.6% saved)

prune5.6s (23%)

Memory

8.3MiB live, 449.3MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	1 693	0	1 693
Fresh	0	0	0
Picked	0	2	2
Done	0	2	2
Total	1 693	4	1 697

Accuracy

100.0%

Counts

1 697 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.1%	(/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (*.f64 #s(literal 1/18 binary64) (/.f64 x y)))))))
✓	99.6%	(.f64 (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (.f64 #s(literal 1/18 binary64) (/.f64 x y)))))))) (-.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (*.f64 #s(literal 1/18 binary64) (/.f64 x y))))) #s(literal 2 binary64))))
✓	98.1%	(.f64 (acos.f64 (/.f64 (sqrt.f64 t) (.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) #s(literal 1/3 binary64))
✓	97.7%	(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) y) z)))

Compiler

Compiled 325 to 139 computations (57.2% saved)

regimes40.0ms (0.2%)

Memory

10.4MiB live, 85.7MiB allocated

Counts

7 → 1

Calls

Call 1

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

Outputs

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

Calls

13 calls:

5.0ms	(*.f64 y #s(literal 27 binary64))
5.0ms	t
3.0ms	(sqrt.f64 t)
3.0ms	(*.f64 z #s(literal 2 binary64))
3.0ms	z

Results

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

Compiler

Compiled 135 to 108 computations (20% saved)

regimes31.0ms (0.1%)

Memory

-15.0MiB live, 67.2MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

13 calls:

5.0ms	(*.f64 y #s(literal 27 binary64))
4.0ms	z
2.0ms	(sqrt.f64 t)
2.0ms	(*.f64 z #s(literal 2 binary64))
2.0ms	x

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)

regimes9.0ms (0%)

Memory

-12.6MiB live, 25.5MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

5 calls:

2.0ms	z
1.0ms	(sqrt.f64 t)
1.0ms	t
1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
98.1%	1	`x`
98.1%	1	`y`
98.1%	1	`z`
98.1%	1	`t`
98.1%	1	`(sqrt.f64 t)`

Compiler

Compiled 26 to 21 computations (19.2% saved)

regimes7.0ms (0%)

Memory

24.6MiB live, 24.6MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

1.0ms	t
1.0ms	x
1.0ms	(sqrt.f64 t)
1.0ms	z
1.0ms	y

Results

Accuracy	Segments	Branch
97.7%	1	`x`
97.7%	1	`y`
97.7%	1	`z`
97.7%	1	`t`
97.7%	1	`(sqrt.f64 t)`

Compiler

Compiled 26 to 21 computations (19.2% saved)

simplify10.0ms (0%)

Memory

-10.5MiB live, 29.2MiB allocated

Algorithm

1×	egg-herbie

Rules

18×	`*-commutative_binary64`
6×	`+-commutative_binary64`
4×	`sub-neg_binary64`
2×	`1-exp_binary64`
2×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	80
1	54	80
2	58	80
3	60	80
4	61	80

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness622.0ms (2.5%)

Memory

-11.7MiB live, 472.8MiB allocated

Rules

6 146×	`-lowering-.f32`
6 146×	`-lowering-.f64`
5 832×	`-lowering-.f32`
5 832×	`-lowering-.f64`
5 350×	`-lowering-.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	96
1	81	96
2	480	96
3	3982	96
0	8862	96
0	19	55
1	59	47
2	377	41
3	3741	41
0	8207	41
0	31	1616
1	66	1604
2	197	1596
3	725	1596
4	2560	1596
5	4452	1596
6	6233	1596
0	8092	1596
0	36	365
1	243	283
2	2299	251
0	9278	240

Stop Event

1×	done
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 121 to 73 computations (39.7% saved)

preprocess66.0ms (0.3%)

Memory: 27.2MiB live, 147.8MiB allocated
Remove: (sort y z)
Compiler: Compiled 514 to 298 computations (42% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	20	117
1	37	117
2	87	117
3	216	117
4	363	117
5	423	117
6	436	117
7	441	117
8	455	117
9	461	117
0	461	117

Iter	Nodes	Cost
0	20	117
1	37	117
2	87	117
3	216	117
4	363	117
5	423	117
6	436	117
7	441	117
8	455	117
9	461	117
0	461	117

analyze343.0ms (1.4%)

sample4.9s (19.8%)

preprocess162.0ms (0.7%)

explain611.0ms (2.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify91.0ms (0.4%)

localize53.0ms (0.2%)

series29.0ms (0.1%)

rewrite325.0ms (1.3%)

simplify189.0ms (0.8%)

eval102.0ms (0.4%)

prune151.0ms (0.6%)

simplify22.0ms (0.1%)

localize77.0ms (0.3%)

series112.0ms (0.5%)

rewrite445.0ms (1.8%)

simplify608.0ms (2.5%)

eval194.0ms (0.8%)

prune314.0ms (1.3%)

simplify334.0ms (1.4%)

localize369.0ms (1.5%)

series101.0ms (0.4%)

rewrite746.0ms (3%)

simplify980.0ms (4%)

eval701.0ms (2.9%)

prune332.0ms (1.3%)

simplify366.0ms (1.5%)

localize109.0ms (0.4%)

series61.0ms (0.2%)

rewrite567.0ms (2.3%)

simplify345.0ms (1.4%)

eval4.4s (18.1%)

prune5.6s (23%)

regimes40.0ms (0.2%)

regimes31.0ms (0.1%)

regimes9.0ms (0%)

regimes7.0ms (0%)

simplify10.0ms (0%)

soundness622.0ms (2.5%)

preprocess66.0ms (0.3%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	20	117
1	37	117
2	87	117
3	216	117
4	363	117
5	423	117
6	436	117
7	441	117
8	455	117
9	461	117
0	461	117