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

analyze352.0ms (1.1%)

Memory

-11.7MiB live, 656.7MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 21 to 20 computations (4.8% saved)

sample5.4s (16.7%)

Memory

-78.7MiB live, 6 282.2MiB allocated

Samples

2.1s	15 549×	0	invalid
1.8s	8 256×	0	valid

Precisions

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

ival-mult: 1.1s (43.5% of total)

ival-div: 963.0ms (37.8% of total)

ival-acos: 217.0ms (8.5% of total)

ival-sqrt: 187.0ms (7.3% of total)

exact: 42.0ms (1.7% of total)

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

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

Bogosity

preprocess159.0ms (0.5%)

Memory

18.1MiB live, 181.5MiB allocated

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	92	263
1	281	227
2	988	197
3	3692	197
4	4350	197
5	5170	197
6	6243	197
0	19	17
1	39	15
2	117	13
3	392	13
4	1386	13
5	3148	13
6	3240	13
7	3290	13
8	3290	13
9	3290	13
10	3913	13
11	3952	13
12	3952	13
0	3952	13

Stop Event

1×	iter limit
1×	saturated
1×	node limit

Calls

Call 1

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

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

Call 2

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

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

Symmetry

(sort y z)

explain210.0ms (0.7%)

Memory

-8.9MiB live, 423.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
24	-	2	(-4.2627135635043037e-277 -5.3191130449740695e+35 3.5089844063653205e-276 4.327635931702528e-53)	`(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))`
15	-	2	(-1.3561945169472561e-166 3.0473552982775e-20 4.7668715288278e+173 4.796310381465245e+166)	`(.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	52
↳	`(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))`	underflow	52
`*.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)))`	o/n	2	0
↳	`(*.f64 y #s(literal 27 binary64))`	overflow	1
↳	`(/.f64 x (*.f64 y #s(literal 27 binary64)))`	overflow	2
↳	`(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))`	overflow	2
`/.f64`	`(/.f64 x (*.f64 y #s(literal 27 binary64)))`	n/o	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

72.0ms

512×

valid

Compiler

Compiled 230 to 76 computations (67% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-mult: 24.0ms (50.3% of total)

ival-div: 11.0ms (23% of total)

ival-acos: 7.0ms (14.7% of total)

ival-sqrt: 4.0ms (8.4% of total)

exact: 1.0ms (2.1% of total)

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.7%	(.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

▶

97.7%

(*.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)

simplify106.0ms (0.3%)

Memory

24.3MiB live, 130.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize65.0ms (0.2%)

Memory

-18.9MiB live, 111.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.4%	(/.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	94.8%	(.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
✓	accuracy	91.3%	(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))

Samples

31.0ms

256×

valid

Compiler

Compiled 92 to 20 computations (78.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-mult: 8.0ms (42.1% of total)

ival-div: 6.0ms (31.6% of total)

ival-sqrt: 2.0ms (10.5% of total)

ival-acos: 2.0ms (10.5% of total)

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

exact: 0.0ms (0% of total)

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

series30.0ms (0.1%)

Memory

20.3MiB live, 58.2MiB allocated

Counts

6 → 180

Calls

Call 1

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

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

Calls

45 calls:

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

rewrite328.0ms (1%)

Memory

13.5MiB live, 513.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 588

Calls

Call 1

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

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

simplify185.0ms (0.6%)

Memory

-2.3MiB live, 288.3MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

Calls

Call 1

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

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

eval135.0ms (0.4%)

Memory: -7.7MiB live, 181.8MiB allocated
Compiler: Compiled 14 596 to 3 053 computations (79.1% saved)

prune121.0ms (0.4%)

Memory

-20.2MiB live, 250.1MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

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

Accuracy

98.5%

Counts

769 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.3%	(/.f64 (.f64 (-.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 3 binary64) (sqrt.f64 t))) (.f64 z (.f64 #s(literal 54 binary64) y)))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 3 binary64) (sqrt.f64 t))) (.f64 z (.f64 #s(literal 54 binary64) y)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 3 binary64) (sqrt.f64 t))) (.f64 z (.f64 #s(literal 54 binary64) y))))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
▶	97.3%	(/.f64 (.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 3 binary64) (sqrt.f64 t))) (.f64 z (.f64 #s(literal 54 binary64) y)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 3 binary64) (sqrt.f64 t))) (.f64 z (*.f64 #s(literal 54 binary64) y))))))
▶	92.2%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (pow.f64 (.f64 (/.f64 (.f64 y #s(literal 27 binary64)) x) (/.f64 (.f64 y #s(literal 27 binary64)) x)) #s(literal -1/2 binary64))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
▶	98.5%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z))) (sqrt.f64 t))))
▶	97.3%	(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))))

Compiler

Compiled 352 to 204 computations (42% saved)

simplify419.0ms (1.3%)

Memory

-6.9MiB live, 465.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

4 738×	`accelerator-lowering-fma.f32`
4 738×	`accelerator-lowering-fma.f64`
4 086×	`-lowering-.f32`
4 086×	`-lowering-.f64`
2 656×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	688
1	148	646
2	413	632
3	1080	632
4	1843	632
5	2375	632
6	2858	632
7	3773	632
8	5130	632
9	6385	632
0	8289	621

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

Outputs
(* (/ 1 3) (acos (* (* 1/18 (/ x (* y z))) (sqrt t))))
(.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)
1
#s(literal 1 binary64)
3
#s(literal 3 binary64)
(acos (* (* 1/18 (/ x (* y z))) (sqrt t)))
(acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z)))
(* (* 1/18 (/ x (* y z))) (sqrt t))
(/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 y z))
1/18
#s(literal 1/18 binary64)
(/ x (* y z))
(/.f64 x (*.f64 y z))
x
(* y z)
(*.f64 y z)
y
z
(sqrt t)
(sqrt.f64 t)
t
(* 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)))
(.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)
(*.f64 y z)
y
z
(* (/ 1 3) (acos (* (/ (* 3 (pow (* (/ (* y 27) x) (/ (* y 27) x)) -1/2)) (* z 2)) (sqrt t))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (pow.f64 (/.f64 (.f64 y (.f64 y #s(literal 729 binary64))) (.f64 x x)) #s(literal -1/2 binary64)) (/.f64 (.f64 (sqrt.f64 t) #s(literal 3/2 binary64)) z))))
(/ 1 3)
#s(literal 1/3 binary64)
1
#s(literal 1 binary64)
3
#s(literal 3 binary64)
(acos (* (/ (* 3 (pow (* (/ (* y 27) x) (/ (* y 27) x)) -1/2)) (* z 2)) (sqrt t)))
(acos.f64 (.f64 (pow.f64 (/.f64 (.f64 y (.f64 y #s(literal 729 binary64))) (.f64 x x)) #s(literal -1/2 binary64)) (/.f64 (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64)) z)))
(* (/ (* 3 (pow (* (/ (* y 27) x) (/ (* y 27) x)) -1/2)) (* z 2)) (sqrt t))
(.f64 (pow.f64 (/.f64 (.f64 y (.f64 y #s(literal 729 binary64))) (.f64 x x)) #s(literal -1/2 binary64)) (/.f64 (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64)) z))
(/ (* 3 (pow (* (/ (* y 27) x) (/ (* y 27) x)) -1/2)) (* z 2))
(.f64 (pow.f64 (/.f64 (.f64 y (.f64 y #s(literal 729 binary64))) (.f64 x x)) #s(literal -1/2 binary64)) (/.f64 #s(literal 3/2 binary64) z))
(* 3 (pow (* (/ (* y 27) x) (/ (* y 27) x)) -1/2))
(.f64 #s(literal 3 binary64) (pow.f64 (/.f64 (.f64 y (.f64 y #s(literal 729 binary64))) (.f64 x x)) #s(literal -1/2 binary64)))
(pow (* (/ (* y 27) x) (/ (* y 27) x)) -1/2)
(pow.f64 (/.f64 (.f64 y (.f64 y #s(literal 729 binary64))) (*.f64 x x)) #s(literal -1/2 binary64))
(* (/ (* y 27) x) (/ (* y 27) x))
(/.f64 (.f64 y (.f64 y #s(literal 729 binary64))) (*.f64 x x))
(/ (* y 27) x)
(*.f64 #s(literal 27 binary64) (/.f64 y x))
(* y 27)
(*.f64 y #s(literal 27 binary64))
y
27
#s(literal 27 binary64)
x
-1/2
#s(literal -1/2 binary64)
(* z 2)
(*.f64 z #s(literal 2 binary64))
z
2
#s(literal 2 binary64)
(sqrt t)
(sqrt.f64 t)
t
(/ (* (- (* (* (PI) (PI)) 1/4) (pow (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) 2)) 1/3) (+ (* (PI) 1/2) (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y))))))
(fma.f64 (fma.f64 (PI.f64) (fma.f64 (PI.f64) #s(literal -1/4 binary64) #s(literal 0 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))) #s(literal 2 binary64))) (/.f64 #s(literal -1/3 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))))) #s(literal 0 binary64))
(* (- (* (* (PI) (PI)) 1/4) (pow (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) 2)) 1/3)
(fma.f64 (pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal 2 binary64)) #s(literal -1/3 binary64) (fma.f64 (PI.f64) (fma.f64 (PI.f64) #s(literal 1/12 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)))
(- (* (* (PI) (PI)) 1/4) (pow (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) 2))
(-.f64 (fma.f64 (PI.f64) (fma.f64 (PI.f64) #s(literal 1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal 2 binary64)))
(* (* (PI) (PI)) 1/4)
(fma.f64 (PI.f64) (fma.f64 (PI.f64) #s(literal 1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (PI) (PI))
(fma.f64 (PI.f64) (PI.f64) #s(literal 0 binary64))
(PI)
(PI.f64)
1/4
#s(literal 1/4 binary64)
(pow (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) 2)
(pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal 2 binary64))
(asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y))))
(asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z)))
(/ (* x (* 3 (sqrt t))) (* z (* 54 y)))
(/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z))
(* x (* 3 (sqrt t)))
(.f64 #s(literal 3 binary64) (.f64 x (sqrt.f64 t)))
x
(* 3 (sqrt t))
(*.f64 #s(literal 3 binary64) (sqrt.f64 t))
3
#s(literal 3 binary64)
(sqrt t)
(sqrt.f64 t)
t
(* z (* 54 y))
(.f64 z (.f64 y #s(literal 54 binary64)))
z
(* 54 y)
(*.f64 y #s(literal 54 binary64))
54
#s(literal 54 binary64)
y
2
#s(literal 2 binary64)
1/3
#s(literal 1/3 binary64)
(+ (* (PI) 1/2) (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z))))
1/2
#s(literal 1/2 binary64)
(/ (* (- (* (* (PI) (* (PI) (PI))) 1/8) (pow (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) 3)) 1/3) (+ (* (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) (+ (* (PI) 1/2) (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))))) (* (* (PI) (PI)) 1/4)))
(fma.f64 (fma.f64 (PI.f64) (fma.f64 (PI.f64) (fma.f64 (PI.f64) #s(literal -1/8 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))) #s(literal 3 binary64))) (/.f64 #s(literal -1/3 binary64) (fma.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z)))) (fma.f64 (PI.f64) (fma.f64 (PI.f64) #s(literal 1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)))) #s(literal 0 binary64))
(* (- (* (* (PI) (* (PI) (PI))) 1/8) (pow (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) 3)) 1/3)
(fma.f64 (pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal 3 binary64)) #s(literal -1/3 binary64) (fma.f64 (fma.f64 (PI.f64) (fma.f64 (PI.f64) (PI.f64) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/24 binary64) #s(literal 0 binary64)))
(- (* (* (PI) (* (PI) (PI))) 1/8) (pow (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) 3))
(-.f64 (fma.f64 (fma.f64 (PI.f64) (PI.f64) #s(literal 0 binary64)) (fma.f64 (PI.f64) #s(literal 1/8 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal 3 binary64)))
(* (* (PI) (* (PI) (PI))) 1/8)
(fma.f64 (fma.f64 (PI.f64) (PI.f64) #s(literal 0 binary64)) (fma.f64 (PI.f64) #s(literal 1/8 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (PI) (* (PI) (PI)))
(fma.f64 (PI.f64) (fma.f64 (PI.f64) (PI.f64) #s(literal 0 binary64)) #s(literal 0 binary64))
(PI)
(PI.f64)
(* (PI) (PI))
(fma.f64 (PI.f64) (PI.f64) #s(literal 0 binary64))
1/8
#s(literal 1/8 binary64)
(pow (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) 3)
(pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal 3 binary64))
(asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y))))
(asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z)))
(/ (* x (* 3 (sqrt t))) (* z (* 54 y)))
(/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z))
(* x (* 3 (sqrt t)))
(.f64 #s(literal 3 binary64) (.f64 x (sqrt.f64 t)))
x
(* 3 (sqrt t))
(*.f64 #s(literal 3 binary64) (sqrt.f64 t))
3
#s(literal 3 binary64)
(sqrt t)
(sqrt.f64 t)
t
(* z (* 54 y))
(.f64 z (.f64 y #s(literal 54 binary64)))
z
(* 54 y)
(*.f64 y #s(literal 54 binary64))
54
#s(literal 54 binary64)
y
1/3
#s(literal 1/3 binary64)
(+ (* (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) (+ (* (PI) 1/2) (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))))) (* (* (PI) (PI)) 1/4))
(fma.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z)))) (fma.f64 (PI.f64) (fma.f64 (PI.f64) #s(literal 1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)))
(+ (* (PI) 1/2) (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z))))
1/2
#s(literal 1/2 binary64)
(* (* (PI) (PI)) 1/4)
(fma.f64 (PI.f64) (fma.f64 (PI.f64) #s(literal 1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
1/4
#s(literal 1/4 binary64)

localize356.0ms (1.1%)

Memory

24.9MiB live, 535.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.5%	(*.f64 #s(literal 3 binary64) (sqrt.f64 t))
✓	accuracy	98.4%	(.f64 (-.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 3 binary64) (sqrt.f64 t))) (.f64 z (.f64 #s(literal 54 binary64) y)))) #s(literal 3 binary64))) #s(literal 1/3 binary64))
✓	accuracy	98.4%	(.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))
✓	accuracy	88.2%	(/.f64 (.f64 x (.f64 #s(literal 3 binary64) (sqrt.f64 t))) (.f64 z (.f64 #s(literal 54 binary64) y)))
✓	accuracy	99.6%	(.f64 x (.f64 #s(literal 3 binary64) (sqrt.f64 t)))
✓	accuracy	99.5%	(*.f64 #s(literal 3 binary64) (sqrt.f64 t))
✓	accuracy	98.4%	(.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 3 binary64) (sqrt.f64 t))) (.f64 z (*.f64 #s(literal 54 binary64) y)))) #s(literal 2 binary64))) #s(literal 1/3 binary64))
✓	accuracy	88.2%	(/.f64 (.f64 x (.f64 #s(literal 3 binary64) (sqrt.f64 t))) (.f64 z (.f64 #s(literal 54 binary64) y)))
✓	accuracy	98.5%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (pow.f64 (.f64 (/.f64 (.f64 y #s(literal 27 binary64)) x) (/.f64 (.f64 y #s(literal 27 binary64)) x)) #s(literal -1/2 binary64))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
✓	accuracy	94.8%	(.f64 (/.f64 (.f64 #s(literal 3 binary64) (pow.f64 (.f64 (/.f64 (.f64 y #s(literal 27 binary64)) x) (/.f64 (.f64 y #s(literal 27 binary64)) x)) #s(literal -1/2 binary64))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
✓	accuracy	91.3%	(/.f64 (.f64 #s(literal 3 binary64) (pow.f64 (.f64 (/.f64 (.f64 y #s(literal 27 binary64)) x) (/.f64 (.f64 y #s(literal 27 binary64)) x)) #s(literal -1/2 binary64))) (*.f64 z #s(literal 2 binary64)))
✓	accuracy	65.5%	(pow.f64 (.f64 (/.f64 (.f64 y #s(literal 27 binary64)) x) (/.f64 (*.f64 y #s(literal 27 binary64)) x)) #s(literal -1/2 binary64))
✓	accuracy	99.6%	(*.f64 x (sqrt.f64 t))
✓	accuracy	99.4%	(.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t)))
✓	accuracy	98.5%	(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))))
✓	accuracy	88.1%	(/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z))
✓	accuracy	99.7%	(.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))
✓	accuracy	98.5%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z))) (sqrt.f64 t))))
✓	accuracy	94.8%	(.f64 (.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) (sqrt.f64 t))
✓	accuracy	93.0%	(/.f64 x (*.f64 y z))

Samples

154.0ms

256×

valid

Compiler

Compiled 705 to 63 computations (91.1% saved)

Precisions

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

ival-mult: 34.0ms (39.8% of total)

ival-div: 15.0ms (17.6% of total)

ival-pow: 10.0ms (11.7% of total)

const: 7.0ms (8.2% of total)

ival-acos: 6.0ms (7% of total)

ival-add: 2.0ms (2.3% of total)

ival-asin: 2.0ms (2.3% of total)

ival-sub: 2.0ms (2.3% of total)

ival-sqrt: 2.0ms (2.3% of total)

ival-pow2: 2.0ms (2.3% of total)

ival-pi: 1.0ms (1.2% of total)

exact: 1.0ms (1.2% of total)

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

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

series101.0ms (0.3%)

Memory

21.1MiB live, 243.5MiB allocated

Counts

26 → 960

Calls

Call 1

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

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

Calls

240 calls:

Time	Variable		Point	Expression
8.0ms	x	@	-inf	(/ (* (- (* (* (PI) (PI)) 1/4) (pow (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) 2)) 1/3) (+ (* (PI) 1/2) (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y))))))
5.0ms	x	@	0	(* (- (* (* (PI) (* (PI) (PI))) 1/8) (pow (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) 3)) 1/3)
3.0ms	x	@	inf	(/ (* (- (* (* (PI) (PI)) 1/4) (pow (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) 2)) 1/3) (+ (* (PI) 1/2) (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y))))))
3.0ms	t	@	-inf	(* 1/18 (* x (sqrt t)))
2.0ms	t	@	0	(/ (* (- (* (* (PI) (* (PI) (PI))) 1/8) (pow (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) 3)) 1/3) (+ (* (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) (+ (* (PI) 1/2) (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))))) (* (* (PI) (PI)) 1/4)))

rewrite820.0ms (2.5%)

Memory

-118.9MiB live, 1 064.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 344×	`accelerator-lowering-fma.f32`
5 344×	`accelerator-lowering-fma.f64`
4 938×	`-lowering-.f32`
4 938×	`-lowering-.f64`
3 800×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	61	298
1	286	276
2	2126	268
0	8290	268

Stop Event

1×	iter limit
1×	node limit

Counts

26 → 1 528

Calls

Call 1

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

Outputs
#s(literal 1/3 binary64)
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z)))))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z)))))))) (.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z)))))) (.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z)))))
(neg.f64 (.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z)))))
(neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))))) (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z))))))
(neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))))))) (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))))))))
(/.f64 (.f64 #s(literal 1/3 binary64) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))) #s(literal 2 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z)))))
(/.f64 (.f64 #s(literal 1/3 binary64) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) #s(literal 1/8 binary64))) (pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))) #s(literal 3 binary64)))) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z)))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) #s(literal 1/8 binary64))) (pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))) #s(literal 3 binary64))) #s(literal -1/3 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z))))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))) #s(literal 2 binary64))) #s(literal -1/3 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))))) #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))) #s(literal 4 binary64))) #s(literal 1/3 binary64)) (.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 #s(literal 1/512 binary64) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))))) (pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))) #s(literal 9 binary64))) #s(literal 1/3 binary64)) (.f64 (fma.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/64 binary64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (PI.f64) (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z)))) #s(literal 3 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))) #s(literal 6 binary64)))) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/64 binary64))) (pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))) #s(literal 6 binary64))) #s(literal 1/3 binary64)) (.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (PI.f64) (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z)))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))) #s(literal 4 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/64 binary64))) (pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))) #s(literal 6 binary64))) #s(literal 1/3 binary64)) (.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/8 binary64))) (pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))) #s(literal 3 binary64))) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))))))))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))) #s(literal 2 binary64))) #s(literal -1/3 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z)))))))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) #s(literal 1/8 binary64))) (pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))) #s(literal 3 binary64))) #s(literal -1/3 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z)))))))))
(/.f64 (.f64 (.f64 #s(literal 1/3 binary64) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))) #s(literal 2 binary64)))) #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z)))))
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(.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (sqrt.f64 t) (/.f64 #s(literal -2 binary64) (.f64 (/.f64 x (*.f64 y #s(literal 27 binary64))) #s(literal -3 binary64)))))
(.f64 (.f64 (sqrt.f64 t) (/.f64 #s(literal 3 binary64) z)) (.f64 (/.f64 x (.f64 y #s(literal 27 binary64))) #s(literal 1/2 binary64)))
(.f64 (/.f64 (sqrt.f64 t) (.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))))))
(.f64 (/.f64 (sqrt.f64 t) #s(literal -1 binary64)) (.f64 (/.f64 (/.f64 x (*.f64 y #s(literal 27 binary64))) z) #s(literal -3/2 binary64)))
(.f64 (/.f64 (sqrt.f64 t) (neg.f64 z)) (/.f64 (.f64 (/.f64 x (*.f64 y #s(literal 27 binary64))) #s(literal -3 binary64)) #s(literal 2 binary64)))
(.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) z) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (/.f64 #s(literal -2 binary64) (.f64 (/.f64 x (*.f64 y #s(literal 27 binary64))) #s(literal -3 binary64)))))
(.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (/.f64 z (.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))))))
(.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))))))
(.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (/.f64 z #s(literal 3 binary64))) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (/.f64 #s(literal 2 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))))
(.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (/.f64 #s(literal 2 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (/.f64 z #s(literal 3 binary64))))
(.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (/.f64 z (/.f64 x (.f64 y #s(literal 27 binary64))))) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) #s(literal 2/3 binary64)))
(.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) #s(literal 2/3 binary64)) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (/.f64 z (/.f64 x (.f64 y #s(literal 27 binary64))))))
(.f64 (/.f64 (sqrt.f64 t) (/.f64 z #s(literal 3 binary64))) (.f64 (/.f64 x (*.f64 y #s(literal 27 binary64))) #s(literal 1/2 binary64)))
(.f64 (/.f64 (sqrt.f64 t) (/.f64 #s(literal 2 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))) (/.f64 #s(literal 3 binary64) z))
(.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (.f64 y #s(literal 27 binary64))))) #s(literal 3/2 binary64))
(.f64 (/.f64 (sqrt.f64 t) #s(literal 2/3 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 x (.f64 y #s(literal 27 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 x (.f64 y #s(literal 27 binary64))))) (/.f64 (sqrt.f64 t) #s(literal 2/3 binary64)))
(.f64 (/.f64 (sqrt.f64 t) #s(literal -2 binary64)) (/.f64 (.f64 (/.f64 x (*.f64 y #s(literal 27 binary64))) #s(literal -3 binary64)) z))
(.f64 (/.f64 (.f64 (/.f64 x (*.f64 y #s(literal 27 binary64))) #s(literal -3 binary64)) z) (/.f64 (sqrt.f64 t) #s(literal -2 binary64)))
(.f64 (/.f64 (.f64 (/.f64 x (*.f64 y #s(literal 27 binary64))) #s(literal -3 binary64)) #s(literal 2 binary64)) (/.f64 (sqrt.f64 t) (neg.f64 z)))
(.f64 (/.f64 (.f64 (/.f64 x (.f64 y #s(literal 27 binary64))) #s(literal -3 binary64)) #s(literal -1 binary64)) (/.f64 (sqrt.f64 t) (.f64 z #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (sqrt.f64 t))
(*.f64 (sqrt.f64 t) #s(literal 3 binary64))
(.f64 #s(literal 3 binary64) (.f64 x (sqrt.f64 t)))
(.f64 x (.f64 #s(literal 3 binary64) (sqrt.f64 t)))
(.f64 (sqrt.f64 t) (.f64 #s(literal 3 binary64) x))
(.f64 (.f64 x (sqrt.f64 t)) #s(literal 3 binary64))
(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 t)) x)
(.f64 (.f64 #s(literal 3 binary64) x) (sqrt.f64 t))
(exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)))
(exp.f64 (+.f64 (log.f64 (PI.f64)) (*.f64 (log.f64 (PI.f64)) #s(literal 2 binary64))))
(exp.f64 (+.f64 (log.f64 (PI.f64)) (log.f64 (*.f64 (PI.f64) (PI.f64)))))
(exp.f64 (fma.f64 (log.f64 (PI.f64)) #s(literal 2 binary64) (log.f64 (PI.f64))))
(exp.f64 (+.f64 (log.f64 (*.f64 (PI.f64) (PI.f64))) (log.f64 (PI.f64))))
(cbrt.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))))))
(pow.f64 (PI.f64) #s(literal 3 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 3/2 binary64))
(pow.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 9 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 6 binary64))
(pow.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))) #s(literal 2 binary64))
(.f64 #s(literal 1 binary64) (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))
(.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))
(.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))
(.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1 binary64))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64)))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))))
(.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64))) (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))
(.f64 (.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(.f64 (.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))

simplify523.0ms (1.6%)

Memory

42.2MiB live, 917.2MiB allocated

Algorithm

1×	egg-herbie

Rules

4 882×	`-lowering-.f32`
4 882×	`-lowering-.f64`
4 222×	`accelerator-lowering-fma.f32`
4 222×	`accelerator-lowering-fma.f64`
1 550×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	89	14876
1	211	14620
2	589	14556
3	1757	14556
4	3288	14556
5	6411	14556
0	8170	14220

Stop Event

1×	iter limit
1×	node limit

Counts

960 → 960

Calls

Call 1

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

eval696.0ms (2.2%)

Memory: 40.7MiB live, 1 329.2MiB allocated
Compiler: Compiled 155 062 to 7 377 computations (95.2% saved)

prune473.0ms (1.5%)

Memory

-44.3MiB live, 915.1MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	3 651	6	3 657
Fresh	0	0	0
Picked	5	0	5
Done	0	0	0
Total	3 656	6	3 662

Accuracy

100.0%

Counts

3 662 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.3%	(/.f64 (fma.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) x #s(literal 0 binary64)) #s(literal 0 binary64)) (.f64 y z))) #s(literal 2 binary64)) #s(literal -1/3 binary64) (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64) #s(literal 0 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) x #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 y z)))))
	97.3%	(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))))) (.f64 #s(literal 1/3 binary64) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))) #s(literal 2 binary64)))))
▶	79.7%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (pow.f64 (/.f64 (.f64 (.f64 y y) #s(literal 729 binary64)) (.f64 x x)) #s(literal -1/2 binary64))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
▶	97.3%	(.f64 (/.f64 #s(literal 1/3 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))))) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal 2 binary64))))
▶	98.8%	(.f64 (.f64 (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))) (/.f64 #s(literal 1/3 binary64) (fma.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z)))) (.f64 #s(literal -1/4 binary64) (.f64 (PI.f64) (PI.f64)))))) (fma.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z)))) (.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64)))))
▶	98.5%	(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 y z)) (sqrt.f64 t))))

Compiler

Compiled 506 to 258 computations (49% saved)

simplify654.0ms (2%)

Memory

38.3MiB live, 1 099.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) x #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 y z))) #s(literal 2 binary64))
✓	cost-diff	0	(fma.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) x #s(literal 0 binary64)) #s(literal 0 binary64)) (.f64 y z))) #s(literal 2 binary64)) #s(literal -1/3 binary64) (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64) #s(literal 0 binary64)))
✓	cost-diff	0	(/.f64 (fma.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) x #s(literal 0 binary64)) #s(literal 0 binary64)) (.f64 y z))) #s(literal 2 binary64)) #s(literal -1/3 binary64) (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64) #s(literal 0 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) x #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 y z)))))
✓	cost-diff	64	(/.f64 (fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) x #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 y z))
✓	cost-diff	0	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z))))
✓	cost-diff	0	(/.f64 #s(literal 1/3 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z)))))
✓	cost-diff	64	(/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z))
✓	cost-diff	128	(.f64 (/.f64 #s(literal 1/3 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))))) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal 2 binary64))))
✓	cost-diff	0	(acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (pow.f64 (/.f64 (.f64 (.f64 y y) #s(literal 729 binary64)) (.f64 x x)) #s(literal -1/2 binary64))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
✓	cost-diff	0	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (pow.f64 (/.f64 (.f64 (.f64 y y) #s(literal 729 binary64)) (.f64 x x)) #s(literal -1/2 binary64))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
✓	cost-diff	320	(/.f64 (.f64 #s(literal 3 binary64) (pow.f64 (/.f64 (.f64 (.f64 y y) #s(literal 729 binary64)) (.f64 x x)) #s(literal -1/2 binary64))) (*.f64 z #s(literal 2 binary64)))
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
✓	cost-diff	0	(*.f64 #s(literal 1/18 binary64) x)
✓	cost-diff	0	(/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 y z))
✓	cost-diff	0	(acos.f64 (.f64 (/.f64 (.f64 #s(literal 1/18 binary64) x) (*.f64 y z)) (sqrt.f64 t)))
✓	cost-diff	0	(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 y z)) (sqrt.f64 t))))
✓	cost-diff	0	(acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z)))
✓	cost-diff	0	(.f64 (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))) (/.f64 #s(literal 1/3 binary64) (fma.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z)))) (.f64 #s(literal -1/4 binary64) (.f64 (PI.f64) (PI.f64))))))
✓	cost-diff	64	(/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z))
✓	cost-diff	39040	(.f64 (.f64 (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))) (/.f64 #s(literal 1/3 binary64) (fma.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z)))) (.f64 #s(literal -1/4 binary64) (.f64 (PI.f64) (PI.f64)))))) (fma.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z)))) (.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64)))))

Rules

18 448×	`accelerator-lowering-fma.f32`
18 448×	`accelerator-lowering-fma.f64`
5 026×	`-lowering-.f32`
5 026×	`-lowering-.f64`
4 072×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	834
1	172	826
2	444	826
3	1142	690
4	2365	690
5	3557	690
6	5635	690
7	7860	690
0	8569	675

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (* (acos (/ (* 1/18 (* x (sqrt t))) (* y z))) (/ 1/3 (+ (* (asin (/ (* 1/18 (* x (sqrt t))) (* y z))) (+ (* (PI) 1/2) (asin (/ (* 1/18 (* x (sqrt t))) (* y z))))) (* -1/4 (* (PI) (PI)))))) (+ (* (asin (/ (* 1/18 (* x (sqrt t))) (* y z))) (+ (* (PI) 1/2) (asin (/ (* 1/18 (* x (sqrt t))) (* y z))))) (* -1/4 (* (PI) (PI)))))
(* (acos (/ (* 1/18 (* x (sqrt t))) (* y z))) (/ 1/3 (+ (* (asin (/ (* 1/18 (* x (sqrt t))) (* y z))) (+ (* (PI) 1/2) (asin (/ (* 1/18 (* x (sqrt t))) (* y z))))) (* -1/4 (* (PI) (PI))))))
(acos (/ (* 1/18 (* x (sqrt t))) (* y z)))
(/ (* 1/18 (* x (sqrt t))) (* y z))
(* 1/18 (* x (sqrt t)))
1/18
(* x (sqrt t))
x
(sqrt t)
t
(* y z)
y
z
(/ 1/3 (+ (* (asin (/ (* 1/18 (* x (sqrt t))) (* y z))) (+ (* (PI) 1/2) (asin (/ (* 1/18 (* x (sqrt t))) (* y z))))) (* -1/4 (* (PI) (PI)))))
1/3
(+ (* (asin (/ (* 1/18 (* x (sqrt t))) (* y z))) (+ (* (PI) 1/2) (asin (/ (* 1/18 (* x (sqrt t))) (* y z))))) (* -1/4 (* (PI) (PI))))
(asin (/ (* 1/18 (* x (sqrt t))) (* y z)))
(+ (* (PI) 1/2) (asin (/ (* 1/18 (* x (sqrt t))) (* y z))))
(PI)
1/2
(* -1/4 (* (PI) (PI)))
-1/4
(* (PI) (PI))
(* 1/3 (acos (* (/ (* 1/18 x) (* y z)) (sqrt t))))
1/3
(acos (* (/ (* 1/18 x) (* y z)) (sqrt t)))
(* (/ (* 1/18 x) (* y z)) (sqrt t))
(/ (* 1/18 x) (* y z))
(* 1/18 x)
1/18
x
(* y z)
y
z
(sqrt t)
t
(* (/ 1 3) (acos (* (/ (* 3 (pow (/ (* (* y y) 729) (* x x)) -1/2)) (* z 2)) (sqrt t))))
(/ 1 3)
1
3
(acos (* (/ (* 3 (pow (/ (* (* y y) 729) (* x x)) -1/2)) (* z 2)) (sqrt t)))
(* (/ (* 3 (pow (/ (* (* y y) 729) (* x x)) -1/2)) (* z 2)) (sqrt t))
(/ (* 3 (pow (/ (* (* y y) 729) (* x x)) -1/2)) (* z 2))
(* 3 (pow (/ (* (* y y) 729) (* x x)) -1/2))
(pow (/ (* (* y y) 729) (* x x)) -1/2)
(/ (* (* y y) 729) (* x x))
(* (* y y) 729)
(* y y)
y
729
(* x x)
x
-1/2
(* z 2)
z
2
(sqrt t)
t
(* (/ 1/3 (+ (* (PI) 1/2) (asin (/ (* 1/18 (* x (sqrt t))) (* y z))))) (- (* (* (PI) (PI)) 1/4) (pow (asin (/ (* 1/18 (* x (sqrt t))) (* y z))) 2)))
(/ 1/3 (+ (* (PI) 1/2) (asin (/ (* 1/18 (* x (sqrt t))) (* y z)))))
1/3
(+ (* (PI) 1/2) (asin (/ (* 1/18 (* x (sqrt t))) (* y z))))
(PI)
1/2
(asin (/ (* 1/18 (* x (sqrt t))) (* y z)))
(/ (* 1/18 (* x (sqrt t))) (* y z))
(* 1/18 (* x (sqrt t)))
1/18
(* x (sqrt t))
x
(sqrt t)
t
(* y z)
y
z
(- (* (* (PI) (PI)) 1/4) (pow (asin (/ (* 1/18 (* x (sqrt t))) (* y z))) 2))
(* (* (PI) (PI)) 1/4)
(* (PI) (PI))
1/4
(pow (asin (/ (* 1/18 (* x (sqrt t))) (* y z))) 2)
2
(/ (+ (* (pow (asin (/ (+ (* 1/18 (+ (* (sqrt t) x) 0)) 0) (* y z))) 2) -1/3) (+ (* (* (PI) (PI)) 1/12) 0)) (+ (* (PI) 1/2) (asin (/ (+ (* 1/18 (+ (* (sqrt t) x) 0)) 0) (* y z)))))
(+ (* (pow (asin (/ (+ (* 1/18 (+ (* (sqrt t) x) 0)) 0) (* y z))) 2) -1/3) (+ (* (* (PI) (PI)) 1/12) 0))
(pow (asin (/ (+ (* 1/18 (+ (* (sqrt t) x) 0)) 0) (* y z))) 2)
(asin (/ (+ (* 1/18 (+ (* (sqrt t) x) 0)) 0) (* y z)))
(/ (+ (* 1/18 (+ (* (sqrt t) x) 0)) 0) (* y z))
(+ (* 1/18 (+ (* (sqrt t) x) 0)) 0)
1/18
(+ (* (sqrt t) x) 0)
(sqrt t)
t
x
0
(* y z)
y
z
2
-1/3
(+ (* (* (PI) (PI)) 1/12) 0)
(* (PI) (PI))
(PI)
1/12
(+ (* (PI) 1/2) (asin (/ (+ (* 1/18 (+ (* (sqrt t) x) 0)) 0) (* y z))))
1/2

Outputs
(* (* (acos (/ (* 1/18 (* x (sqrt t))) (* y z))) (/ 1/3 (+ (* (asin (/ (* 1/18 (* x (sqrt t))) (* y z))) (+ (* (PI) 1/2) (asin (/ (* 1/18 (* x (sqrt t))) (* y z))))) (* -1/4 (* (PI) (PI)))))) (+ (* (asin (/ (* 1/18 (* x (sqrt t))) (* y z))) (+ (* (PI) 1/2) (asin (/ (* 1/18 (* x (sqrt t))) (* y z))))) (* -1/4 (* (PI) (PI)))))
(.f64 (acos.f64 (fma.f64 x (/.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 y z)) #s(literal 0 binary64))) #s(literal 1/3 binary64))
(* (acos (/ (* 1/18 (* x (sqrt t))) (* y z))) (/ 1/3 (+ (* (asin (/ (* 1/18 (* x (sqrt t))) (* y z))) (+ (* (PI) 1/2) (asin (/ (* 1/18 (* x (sqrt t))) (* y z))))) (* -1/4 (* (PI) (PI))))))
(/.f64 (.f64 (acos.f64 (fma.f64 x (/.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (.f64 y z)) #s(literal 0 binary64))) #s(literal 1/3 binary64)) (fma.f64 (asin.f64 (fma.f64 x (/.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (.f64 y z)) #s(literal 0 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 x (/.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (.f64 y z)) #s(literal 0 binary64)))) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal -1/4 binary64)) #s(literal 0 binary64))))
(acos (/ (* 1/18 (* x (sqrt t))) (* y z)))
(acos.f64 (fma.f64 x (/.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (.f64 y z)) #s(literal 0 binary64)))
(/ (* 1/18 (* x (sqrt t))) (* y z))
(fma.f64 x (/.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (.f64 y z)) #s(literal 0 binary64))
(* 1/18 (* x (sqrt t)))
(fma.f64 #s(literal 1/18 binary64) (fma.f64 x (sqrt.f64 t) #s(literal 0 binary64)) #s(literal 0 binary64))
1/18
#s(literal 1/18 binary64)
(* x (sqrt t))
(fma.f64 x (sqrt.f64 t) #s(literal 0 binary64))
x
(sqrt t)
(sqrt.f64 t)
t
(* y z)
(*.f64 y z)
y
z
(/ 1/3 (+ (* (asin (/ (* 1/18 (* x (sqrt t))) (* y z))) (+ (* (PI) 1/2) (asin (/ (* 1/18 (* x (sqrt t))) (* y z))))) (* -1/4 (* (PI) (PI)))))
(/.f64 #s(literal 1/3 binary64) (fma.f64 (asin.f64 (fma.f64 x (/.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (.f64 y z)) #s(literal 0 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 x (/.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (.f64 y z)) #s(literal 0 binary64)))) (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -1/4 binary64)) #s(literal 0 binary64))))
1/3
#s(literal 1/3 binary64)
(+ (* (asin (/ (* 1/18 (* x (sqrt t))) (* y z))) (+ (* (PI) 1/2) (asin (/ (* 1/18 (* x (sqrt t))) (* y z))))) (* -1/4 (* (PI) (PI))))
(fma.f64 (asin.f64 (fma.f64 x (/.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (.f64 y z)) #s(literal 0 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 x (/.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (.f64 y z)) #s(literal 0 binary64)))) (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -1/4 binary64)) #s(literal 0 binary64)))
(asin (/ (* 1/18 (* x (sqrt t))) (* y z)))
(asin.f64 (fma.f64 x (/.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (.f64 y z)) #s(literal 0 binary64)))
(+ (* (PI) 1/2) (asin (/ (* 1/18 (* x (sqrt t))) (* y z))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 x (/.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (.f64 y z)) #s(literal 0 binary64))))
(PI)
(PI.f64)
1/2
#s(literal 1/2 binary64)
(* -1/4 (* (PI) (PI)))
(fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -1/4 binary64)) #s(literal 0 binary64))
-1/4
#s(literal -1/4 binary64)
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
(* 1/3 (acos (* (/ (* 1/18 x) (* y z)) (sqrt t))))
(.f64 (acos.f64 (fma.f64 x (/.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 y z)) #s(literal 0 binary64))) #s(literal 1/3 binary64))
1/3
#s(literal 1/3 binary64)
(acos (* (/ (* 1/18 x) (* y z)) (sqrt t)))
(acos.f64 (fma.f64 x (/.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (.f64 y z)) #s(literal 0 binary64)))
(* (/ (* 1/18 x) (* y z)) (sqrt t))
(fma.f64 x (/.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (.f64 y z)) #s(literal 0 binary64))
(/ (* 1/18 x) (* y z))
(/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 y z))
(* 1/18 x)
(*.f64 #s(literal 1/18 binary64) x)
1/18
#s(literal 1/18 binary64)
x
(* y z)
(*.f64 y z)
y
z
(sqrt t)
(sqrt.f64 t)
t
(* (/ 1 3) (acos (* (/ (* 3 (pow (/ (* (* y y) 729) (* x x)) -1/2)) (* z 2)) (sqrt t))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (pow.f64 (/.f64 (.f64 y (.f64 y #s(literal 729 binary64))) (.f64 x x)) #s(literal -1/2 binary64)) (/.f64 (.f64 (sqrt.f64 t) #s(literal 3/2 binary64)) z))))
(/ 1 3)
#s(literal 1/3 binary64)
1
#s(literal 1 binary64)
3
#s(literal 3 binary64)
(acos (* (/ (* 3 (pow (/ (* (* y y) 729) (* x x)) -1/2)) (* z 2)) (sqrt t)))
(acos.f64 (.f64 (pow.f64 (/.f64 (.f64 y (.f64 y #s(literal 729 binary64))) (.f64 x x)) #s(literal -1/2 binary64)) (/.f64 (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64)) z)))
(* (/ (* 3 (pow (/ (* (* y y) 729) (* x x)) -1/2)) (* z 2)) (sqrt t))
(.f64 (pow.f64 (/.f64 (.f64 y (.f64 y #s(literal 729 binary64))) (.f64 x x)) #s(literal -1/2 binary64)) (/.f64 (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64)) z))
(/ (* 3 (pow (/ (* (* y y) 729) (* x x)) -1/2)) (* z 2))
(.f64 (pow.f64 (/.f64 (.f64 y (.f64 y #s(literal 729 binary64))) (.f64 x x)) #s(literal -1/2 binary64)) (/.f64 #s(literal 3/2 binary64) z))
(* 3 (pow (/ (* (* y y) 729) (* x x)) -1/2))
(.f64 #s(literal 3 binary64) (pow.f64 (/.f64 (.f64 y (.f64 y #s(literal 729 binary64))) (.f64 x x)) #s(literal -1/2 binary64)))
(pow (/ (* (* y y) 729) (* x x)) -1/2)
(pow.f64 (/.f64 (.f64 y (.f64 y #s(literal 729 binary64))) (*.f64 x x)) #s(literal -1/2 binary64))
(/ (* (* y y) 729) (* x x))
(/.f64 (.f64 y (.f64 y #s(literal 729 binary64))) (*.f64 x x))
(* (* y y) 729)
(.f64 y (.f64 y #s(literal 729 binary64)))
(* y y)
(*.f64 y y)
y
729
#s(literal 729 binary64)
(* x x)
(*.f64 x x)
x
-1/2
#s(literal -1/2 binary64)
(* z 2)
(*.f64 z #s(literal 2 binary64))
z
2
#s(literal 2 binary64)
(sqrt t)
(sqrt.f64 t)
t
(* (/ 1/3 (+ (* (PI) 1/2) (asin (/ (* 1/18 (* x (sqrt t))) (* y z))))) (- (* (* (PI) (PI)) 1/4) (pow (asin (/ (* 1/18 (* x (sqrt t))) (* y z))) 2)))
(fma.f64 #s(literal -1/3 binary64) (/.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal -1/4 binary64)) (pow.f64 (asin.f64 (fma.f64 x (/.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (.f64 y z)) #s(literal 0 binary64))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 x (/.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 y z)) #s(literal 0 binary64))))) #s(literal 0 binary64))
(/ 1/3 (+ (* (PI) 1/2) (asin (/ (* 1/18 (* x (sqrt t))) (* y z)))))
(/.f64 #s(literal 1/3 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 x (/.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (.f64 y z)) #s(literal 0 binary64)))))
1/3
#s(literal 1/3 binary64)
(+ (* (PI) 1/2) (asin (/ (* 1/18 (* x (sqrt t))) (* y z))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 x (/.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (.f64 y z)) #s(literal 0 binary64))))
(PI)
(PI.f64)
1/2
#s(literal 1/2 binary64)
(asin (/ (* 1/18 (* x (sqrt t))) (* y z)))
(asin.f64 (fma.f64 x (/.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (.f64 y z)) #s(literal 0 binary64)))
(/ (* 1/18 (* x (sqrt t))) (* y z))
(fma.f64 x (/.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (.f64 y z)) #s(literal 0 binary64))
(* 1/18 (* x (sqrt t)))
(fma.f64 #s(literal 1/18 binary64) (fma.f64 x (sqrt.f64 t) #s(literal 0 binary64)) #s(literal 0 binary64))
1/18
#s(literal 1/18 binary64)
(* x (sqrt t))
(fma.f64 x (sqrt.f64 t) #s(literal 0 binary64))
x
(sqrt t)
(sqrt.f64 t)
t
(* y z)
(*.f64 y z)
y
z
(- (* (* (PI) (PI)) 1/4) (pow (asin (/ (* 1/18 (* x (sqrt t))) (* y z))) 2))
(-.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal 0 binary64)) (pow.f64 (asin.f64 (fma.f64 x (/.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 y z)) #s(literal 0 binary64))) #s(literal 2 binary64)))
(* (* (PI) (PI)) 1/4)
(fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
1/4
#s(literal 1/4 binary64)
(pow (asin (/ (* 1/18 (* x (sqrt t))) (* y z))) 2)
(pow.f64 (asin.f64 (fma.f64 x (/.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (.f64 y z)) #s(literal 0 binary64))) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(/ (+ (* (pow (asin (/ (+ (* 1/18 (+ (* (sqrt t) x) 0)) 0) (* y z))) 2) -1/3) (+ (* (* (PI) (PI)) 1/12) 0)) (+ (* (PI) 1/2) (asin (/ (+ (* 1/18 (+ (* (sqrt t) x) 0)) 0) (* y z)))))
(fma.f64 #s(literal -1/3 binary64) (/.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal -1/4 binary64)) (pow.f64 (asin.f64 (fma.f64 x (/.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (.f64 y z)) #s(literal 0 binary64))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 x (/.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 y z)) #s(literal 0 binary64))))) #s(literal 0 binary64))
(+ (* (pow (asin (/ (+ (* 1/18 (+ (* (sqrt t) x) 0)) 0) (* y z))) 2) -1/3) (+ (* (* (PI) (PI)) 1/12) 0))
(fma.f64 (pow.f64 (asin.f64 (fma.f64 x (/.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (.f64 y z)) #s(literal 0 binary64))) #s(literal 2 binary64)) #s(literal -1/3 binary64) (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/12 binary64)) #s(literal 0 binary64)))
(pow (asin (/ (+ (* 1/18 (+ (* (sqrt t) x) 0)) 0) (* y z))) 2)
(pow.f64 (asin.f64 (fma.f64 x (/.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (.f64 y z)) #s(literal 0 binary64))) #s(literal 2 binary64))
(asin (/ (+ (* 1/18 (+ (* (sqrt t) x) 0)) 0) (* y z)))
(asin.f64 (fma.f64 x (/.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (.f64 y z)) #s(literal 0 binary64)))
(/ (+ (* 1/18 (+ (* (sqrt t) x) 0)) 0) (* y z))
(fma.f64 x (/.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (.f64 y z)) #s(literal 0 binary64))
(+ (* 1/18 (+ (* (sqrt t) x) 0)) 0)
(fma.f64 #s(literal 1/18 binary64) (fma.f64 x (sqrt.f64 t) #s(literal 0 binary64)) #s(literal 0 binary64))
1/18
#s(literal 1/18 binary64)
(+ (* (sqrt t) x) 0)
(fma.f64 x (sqrt.f64 t) #s(literal 0 binary64))
(sqrt t)
(sqrt.f64 t)
t
x
0
#s(literal 0 binary64)
(* y z)
(*.f64 y z)
y
z
2
#s(literal 2 binary64)
-1/3
#s(literal -1/3 binary64)
(+ (* (* (PI) (PI)) 1/12) 0)
(fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/12 binary64)) #s(literal 0 binary64))
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
(PI)
(PI.f64)
1/12
#s(literal 1/12 binary64)
(+ (* (PI) 1/2) (asin (/ (+ (* 1/18 (+ (* (sqrt t) x) 0)) 0) (* y z))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 x (/.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (.f64 y z)) #s(literal 0 binary64))))
1/2
#s(literal 1/2 binary64)

localize682.0ms (2.1%)

Memory

-20.2MiB live, 546.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(fma.f64 (sqrt.f64 t) x #s(literal 0 binary64))
✓	accuracy	99.4%	(fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) x #s(literal 0 binary64)) #s(literal 0 binary64))
✓	accuracy	98.4%	(fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64) #s(literal 0 binary64))
✓	accuracy	88.1%	(/.f64 (fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) x #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 y z))
✓	accuracy	99.6%	(*.f64 x (sqrt.f64 t))
✓	accuracy	99.4%	(.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t)))
✓	accuracy	98.5%	(/.f64 #s(literal 1/3 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z)))))
✓	accuracy	88.1%	(/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z))
✓	accuracy	94.8%	(.f64 (/.f64 (.f64 #s(literal 3 binary64) (pow.f64 (/.f64 (.f64 (.f64 y y) #s(literal 729 binary64)) (.f64 x x)) #s(literal -1/2 binary64))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
✓	accuracy	91.3%	(/.f64 (.f64 #s(literal 3 binary64) (pow.f64 (/.f64 (.f64 (.f64 y y) #s(literal 729 binary64)) (.f64 x x)) #s(literal -1/2 binary64))) (*.f64 z #s(literal 2 binary64)))
✓	accuracy	79.4%	(/.f64 (.f64 (.f64 y y) #s(literal 729 binary64)) (*.f64 x x))
✓	accuracy	65.5%	(pow.f64 (/.f64 (.f64 (.f64 y y) #s(literal 729 binary64)) (*.f64 x x)) #s(literal -1/2 binary64))
✓	accuracy	99.5%	(*.f64 #s(literal 1/18 binary64) x)
✓	accuracy	98.5%	(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 y z)) (sqrt.f64 t))))
✓	accuracy	94.8%	(.f64 (/.f64 (.f64 #s(literal 1/18 binary64) x) (*.f64 y z)) (sqrt.f64 t))
✓	accuracy	93.0%	(/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 y z))
✓	accuracy	100.0%	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z))))
✓	accuracy	99.6%	(*.f64 x (sqrt.f64 t))
✓	accuracy	99.4%	(.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t)))
✓	accuracy	88.1%	(/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z))

Samples

338.0ms

256×

valid

Compiler

Compiled 774 to 71 computations (90.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 247.0ms

ival-pow2: 151.0ms (61.2% of total)

ival-mult: 34.0ms (13.8% of total)

ival-div: 15.0ms (6.1% of total)

const: 13.0ms (5.3% of total)

ival-add: 7.0ms (2.8% of total)

ival-acos: 7.0ms (2.8% of total)

ival-asin: 7.0ms (2.8% of total)

ival-pow: 7.0ms (2.8% of total)

ival-sqrt: 2.0ms (0.8% of total)

ival-pi: 1.0ms (0.4% of total)

ival-sub: 1.0ms (0.4% of total)

exact: 1.0ms (0.4% of total)

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

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

series100.0ms (0.3%)

Memory

12.1MiB live, 92.6MiB allocated

Counts

28 → 1 044

Calls

Call 1

Inputs
#<alt (* (* (acos (/ (* 1/18 (* x (sqrt t))) (* y z))) (/ 1/3 (+ (* (asin (/ (* 1/18 (* x (sqrt t))) (* y z))) (+ (* (PI) 1/2) (asin (/ (* 1/18 (* x (sqrt t))) (* y z))))) (* -1/4 (* (PI) (PI)))))) (+ (* (asin (/ (* 1/18 (* x (sqrt t))) (* y z))) (+ (* (PI) 1/2) (asin (/ (* 1/18 (* x (sqrt t))) (* y z))))) (* -1/4 (* (PI) (PI)))))>
#<alt (/ (* 1/18 (* x (sqrt t))) (* y z))>
#<alt (* (acos (/ (* 1/18 (* x (sqrt t))) (* y z))) (/ 1/3 (+ (* (asin (/ (* 1/18 (* x (sqrt t))) (* y z))) (+ (* (PI) 1/2) (asin (/ (* 1/18 (* x (sqrt t))) (* y z))))) (* -1/4 (* (PI) (PI))))))>
#<alt (acos (/ (* 1/18 (* x (sqrt t))) (* y z)))>
#<alt (* 1/3 (acos (* (/ (* 1/18 x) (* y z)) (sqrt t))))>
#<alt (acos (* (/ (* 1/18 x) (* y z)) (sqrt t)))>
#<alt (/ (* 1/18 x) (* y z))>
#<alt (* 1/18 x)>
#<alt (/ 1 3)>
#<alt (/ (* 3 (pow (/ (* (* y y) 729) (* x x)) -1/2)) (* z 2))>
#<alt (* (/ 1 3) (acos (* (/ (* 3 (pow (/ (* (* y y) 729) (* x x)) -1/2)) (* z 2)) (sqrt t))))>
#<alt (acos (* (/ (* 3 (pow (/ (* (* y y) 729) (* x x)) -1/2)) (* z 2)) (sqrt t)))>
#<alt (* (/ 1/3 (+ (* (PI) 1/2) (asin (/ (* 1/18 (* x (sqrt t))) (* y z))))) (- (* (* (PI) (PI)) 1/4) (pow (asin (/ (* 1/18 (* x (sqrt t))) (* y z))) 2)))>
#<alt (/ 1/3 (+ (* (PI) 1/2) (asin (/ (* 1/18 (* x (sqrt t))) (* y z)))))>
#<alt (+ (* (PI) 1/2) (asin (/ (* 1/18 (* x (sqrt t))) (* y z))))>
#<alt (/ (+ (* 1/18 (+ (* (sqrt t) x) 0)) 0) (* y z))>
#<alt (/ (+ (* (pow (asin (/ (+ (* 1/18 (+ (* (sqrt t) x) 0)) 0) (* y z))) 2) -1/3) (+ (* (* (PI) (PI)) 1/12) 0)) (+ (* (PI) 1/2) (asin (/ (+ (* 1/18 (+ (* (sqrt t) x) 0)) 0) (* y z)))))>
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Outputs
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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 (pow (sqrt -1) 2)) (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* -1/27 (/ x y))>
#<alt (* -1/27 (/ x y))>
#<alt (* -1/27 (/ x y))>
#<alt (* -1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* -1/27 (/ x y))>
#<alt (* -1/27 (/ x y))>
#<alt (* -1/27 (/ x y))>
#<alt (* -1/27 (/ x y))>
#<alt (* 729 (/ (pow y 2) (pow x 2)))>
#<alt (* 729 (/ (pow y 2) (pow x 2)))>
#<alt (* 729 (/ (pow y 2) (pow x 2)))>
#<alt (* 729 (/ (pow y 2) (pow x 2)))>
#<alt (* 729 (/ (pow y 2) (pow x 2)))>
#<alt (* 729 (/ (pow y 2) (pow x 2)))>
#<alt (* 729 (/ (pow y 2) (pow x 2)))>
#<alt (* 729 (/ (pow y 2) (pow x 2)))>
#<alt (* 729 (/ (pow y 2) (pow x 2)))>
#<alt (* 729 (/ (pow y 2) (pow x 2)))>
#<alt (* 729 (/ (pow y 2) (pow x 2)))>
#<alt (* 729 (/ (pow y 2) (pow x 2)))>
#<alt (* 729 (/ (pow y 2) (pow x 2)))>
#<alt (* 729 (/ (pow y 2) (pow x 2)))>
#<alt (* 729 (/ (pow y 2) (pow x 2)))>
#<alt (* 729 (/ (pow y 2) (pow x 2)))>
#<alt (* 729 (/ (pow y 2) (pow x 2)))>
#<alt (* 729 (/ (pow y 2) (pow x 2)))>
#<alt (* 729 (/ (pow y 2) (pow x 2)))>
#<alt (* 729 (/ (pow y 2) (pow x 2)))>
#<alt (* 729 (/ (pow y 2) (pow x 2)))>
#<alt (* 729 (/ (pow y 2) (pow x 2)))>
#<alt (* 729 (/ (pow y 2) (pow x 2)))>
#<alt (* 729 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* 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))>
#<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 (* 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 (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* -1 (* (sqrt t) (* x (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt t) (* x (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt t) (* x (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt t) (* x (pow (sqrt -1) 2))))>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>

Calls

261 calls:

Time	Variable		Point	Expression
18.0ms	y	@	-inf	(/ 1/3 (+ (* (PI) 1/2) (asin (/ (* 1/18 (* x (sqrt t))) (* y z)))))
16.0ms	x	@	-inf	(/ (+ (* (pow (asin (/ (+ (* 1/18 (+ (* (sqrt t) x) 0)) 0) (* y z))) 2) -1/3) (+ (* (* (PI) (PI)) 1/12) 0)) (+ (* (PI) 1/2) (asin (/ (+ (* 1/18 (+ (* (sqrt t) x) 0)) 0) (* y z)))))
10.0ms	z	@	inf	(* (acos (/ (* 1/18 (* x (sqrt t))) (* y z))) (/ 1/3 (+ (* (asin (/ (* 1/18 (* x (sqrt t))) (* y z))) (+ (* (PI) 1/2) (asin (/ (* 1/18 (* x (sqrt t))) (* y z))))) (* -1/4 (* (PI) (PI))))))
2.0ms	x	@	0	(* (acos (/ (* 1/18 (* x (sqrt t))) (* y z))) (/ 1/3 (+ (* (asin (/ (* 1/18 (* x (sqrt t))) (* y z))) (+ (* (PI) 1/2) (asin (/ (* 1/18 (* x (sqrt t))) (* y z))))) (* -1/4 (* (PI) (PI))))))
1.0ms	t	@	-inf	(* (acos (/ (* 1/18 (* x (sqrt t))) (* y z))) (/ 1/3 (+ (* (asin (/ (* 1/18 (* x (sqrt t))) (* y z))) (+ (* (PI) 1/2) (asin (/ (* 1/18 (* x (sqrt t))) (* y z))))) (* -1/4 (* (PI) (PI))))))

rewrite617.0ms (1.9%)

Memory

-16.6MiB live, 1 158.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 774×	`accelerator-lowering-fma.f32`
5 774×	`accelerator-lowering-fma.f64`
4 270×	`-lowering-.f32`
4 270×	`-lowering-.f64`
3 554×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	582
1	366	574
2	2823	360
0	8422	353

Stop Event

1×	iter limit
1×	node limit

Counts

28 → 1 393

Calls

Call 1

Inputs
(* (* (acos (/ (* 1/18 (* x (sqrt t))) (* y z))) (/ 1/3 (+ (* (asin (/ (* 1/18 (* x (sqrt t))) (* y z))) (+ (* (PI) 1/2) (asin (/ (* 1/18 (* x (sqrt t))) (* y z))))) (* -1/4 (* (PI) (PI)))))) (+ (* (asin (/ (* 1/18 (* x (sqrt t))) (* y z))) (+ (* (PI) 1/2) (asin (/ (* 1/18 (* x (sqrt t))) (* y z))))) (* -1/4 (* (PI) (PI)))))
(/ (* 1/18 (* x (sqrt t))) (* y z))
(* (acos (/ (* 1/18 (* x (sqrt t))) (* y z))) (/ 1/3 (+ (* (asin (/ (* 1/18 (* x (sqrt t))) (* y z))) (+ (* (PI) 1/2) (asin (/ (* 1/18 (* x (sqrt t))) (* y z))))) (* -1/4 (* (PI) (PI))))))
(acos (/ (* 1/18 (* x (sqrt t))) (* y z)))
(* 1/3 (acos (* (/ (* 1/18 x) (* y z)) (sqrt t))))
(acos (* (/ (* 1/18 x) (* y z)) (sqrt t)))
(/ (* 1/18 x) (* y z))
(* 1/18 x)
(/ 1 3)
(/ (* 3 (pow (/ (* (* y y) 729) (* x x)) -1/2)) (* z 2))
(* (/ 1 3) (acos (* (/ (* 3 (pow (/ (* (* y y) 729) (* x x)) -1/2)) (* z 2)) (sqrt t))))
(acos (* (/ (* 3 (pow (/ (* (* y y) 729) (* x x)) -1/2)) (* z 2)) (sqrt t)))
(* (/ 1/3 (+ (* (PI) 1/2) (asin (/ (* 1/18 (* x (sqrt t))) (* y z))))) (- (* (* (PI) (PI)) 1/4) (pow (asin (/ (* 1/18 (* x (sqrt t))) (* y z))) 2)))
(/ 1/3 (+ (* (PI) 1/2) (asin (/ (* 1/18 (* x (sqrt t))) (* y z)))))
(+ (* (PI) 1/2) (asin (/ (* 1/18 (* x (sqrt t))) (* y z))))
(/ (+ (* 1/18 (+ (* (sqrt t) x) 0)) 0) (* y z))
(/ (+ (* (pow (asin (/ (+ (* 1/18 (+ (* (sqrt t) x) 0)) 0) (* y z))) 2) -1/3) (+ (* (* (PI) (PI)) 1/12) 0)) (+ (* (PI) 1/2) (asin (/ (+ (* 1/18 (+ (* (sqrt t) x) 0)) 0) (* y z)))))
(+ (* (pow (asin (/ (+ (* 1/18 (+ (* (sqrt t) x) 0)) 0) (* y z))) 2) -1/3) (+ (* (* (PI) (PI)) 1/12) 0))
(pow (asin (/ (+ (* 1/18 (+ (* (sqrt t) x) 0)) 0) (* y z))) 2)
(* 1/18 (* x (sqrt t)))
(* x (sqrt t))
(* (/ (* 1/18 x) (* y z)) (sqrt t))
(pow (/ (* (* y y) 729) (* x x)) -1/2)
(/ (* (* y y) 729) (* x x))
(* (/ (* 3 (pow (/ (* (* y y) 729) (* x x)) -1/2)) (* z 2)) (sqrt t))
(+ (* (* (PI) (PI)) 1/12) 0)
(+ (* 1/18 (+ (* (sqrt t) x) 0)) 0)
(+ (* (sqrt t) x) 0)

Outputs
(+.f64 (/.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal -1/4 binary64))) (.f64 (acos.f64 (/.f64 (fma.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) x) #s(literal 0 binary64)) (.f64 y z))) #s(literal 1/3 binary64))) (fma.f64 (asin.f64 (/.f64 (fma.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) x) #s(literal 0 binary64)) (.f64 y z))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) x) #s(literal 0 binary64)) (.f64 y z)))) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal -1/4 binary64))))) (/.f64 (.f64 (.f64 (asin.f64 (/.f64 (fma.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) x) #s(literal 0 binary64)) (.f64 y z))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) x) #s(literal 0 binary64)) (.f64 y z))))) (.f64 (acos.f64 (/.f64 (fma.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) x) #s(literal 0 binary64)) (.f64 y z))) #s(literal 1/3 binary64))) (fma.f64 (asin.f64 (/.f64 (fma.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) x) #s(literal 0 binary64)) (.f64 y z))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) x) #s(literal 0 binary64)) (.f64 y z)))) (.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -1/4 binary64))))))
(+.f64 (/.f64 (.f64 (.f64 (asin.f64 (/.f64 (fma.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) x) #s(literal 0 binary64)) (.f64 y z))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) x) #s(literal 0 binary64)) (.f64 y z))))) (.f64 (acos.f64 (/.f64 (fma.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) x) #s(literal 0 binary64)) (.f64 y z))) #s(literal 1/3 binary64))) (fma.f64 (asin.f64 (/.f64 (fma.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) x) #s(literal 0 binary64)) (.f64 y z))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) x) #s(literal 0 binary64)) (.f64 y z)))) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal -1/4 binary64))))) (/.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal -1/4 binary64))) (.f64 (acos.f64 (/.f64 (fma.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) x) #s(literal 0 binary64)) (.f64 y z))) #s(literal 1/3 binary64))) (fma.f64 (asin.f64 (/.f64 (fma.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) x) #s(literal 0 binary64)) (.f64 y z))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) x) #s(literal 0 binary64)) (.f64 y z)))) (.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -1/4 binary64))))))
(+.f64 (.f64 (/.f64 #s(literal 1/3 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) x) #s(literal 0 binary64)) (.f64 y z))))) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)))) (.f64 (/.f64 #s(literal 1/3 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) x) #s(literal 0 binary64)) (.f64 y z))))) (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (/.f64 (fma.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) x) #s(literal 0 binary64)) (.f64 y z))) #s(literal 2 binary64)))))
(+.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (/.f64 #s(literal 1/3 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) x) #s(literal 0 binary64)) (.f64 y z)))))) (.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (/.f64 (fma.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) x) #s(literal 0 binary64)) (.f64 y z))) #s(literal 2 binary64))) (/.f64 #s(literal 1/3 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) x) #s(literal 0 binary64)) (.f64 y z)))))))
(-.f64 (/.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) x) #s(literal 0 binary64)) (.f64 y z)))) #s(literal 3 binary64))) (/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) x) #s(literal 0 binary64)) (.f64 y z))) #s(literal 2 binary64)) (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) x) #s(literal 0 binary64)) (.f64 y z)))) #s(literal 3 binary64))))
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(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 (.f64 x x) t #s(literal 0 binary64)) #s(literal 1/324 binary64) #s(literal 0 binary64)))) (neg.f64 (fma.f64 (.f64 x #s(literal -1/18 binary64)) (sqrt.f64 t) #s(literal 0 binary64))))
(/.f64 (neg.f64 (.f64 #s(literal 1/18 binary64) (fma.f64 (.f64 (sqrt.f64 t) t) (.f64 x (.f64 x x)) #s(literal 0 binary64)))) (neg.f64 (fma.f64 (*.f64 x x) t #s(literal 0 binary64))))
(/.f64 (neg.f64 (.f64 #s(literal 1/18 binary64) (fma.f64 (.f64 x x) t #s(literal 0 binary64)))) (neg.f64 (fma.f64 x (sqrt.f64 t) #s(literal 0 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 (sqrt.f64 t) t) (.f64 x (.f64 x x)) #s(literal 0 binary64)) #s(literal 1/18 binary64))) (neg.f64 (fma.f64 (*.f64 x x) t #s(literal 0 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 x x) t #s(literal 0 binary64)) #s(literal 1/18 binary64))) (neg.f64 (fma.f64 x (sqrt.f64 t) #s(literal 0 binary64))))
(pow.f64 (fma.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) x) #s(literal 0 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 (fma.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) x) #s(literal 0 binary64)) (fma.f64 (fma.f64 (.f64 x x) t #s(literal 0 binary64)) #s(literal 1/324 binary64) #s(literal 0 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) x) #s(literal 0 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1/18 binary64) (fma.f64 x (sqrt.f64 t) #s(literal 0 binary64)))
(.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))
(.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) x))
(.f64 (.f64 #s(literal 1/18 binary64) x) (sqrt.f64 t))
(*.f64 (fma.f64 x (sqrt.f64 t) #s(literal 0 binary64)) #s(literal 1/18 binary64))
(.f64 (fma.f64 (.f64 #s(literal 1/5832 binary64) (.f64 x (.f64 x x))) (.f64 (sqrt.f64 t) t) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) t #s(literal 0 binary64)) #s(literal 1/324 binary64) #s(literal 0 binary64))))
(.f64 (fma.f64 (fma.f64 (.f64 x x) t #s(literal 0 binary64)) #s(literal 1/324 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) x) #s(literal 0 binary64))))
(.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x)
(+.f64 (fma.f64 x (sqrt.f64 t) #s(literal 0 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (fma.f64 x (sqrt.f64 t) #s(literal 0 binary64)))
(-.f64 (fma.f64 x (sqrt.f64 t) #s(literal 0 binary64)) #s(literal 0 binary64))
(-.f64 (fma.f64 x (sqrt.f64 t) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) (fma.f64 x (sqrt.f64 t) #s(literal 0 binary64))))
(-.f64 (fma.f64 x (sqrt.f64 t) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) t #s(literal 0 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (sqrt.f64 t) #s(literal 0 binary64)))) (/.f64 (fma.f64 (*.f64 x x) t #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 x (sqrt.f64 t) #s(literal 0 binary64)))))
(fma.f64 x (sqrt.f64 t) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 t) x #s(literal 0 binary64))
(fma.f64 (fma.f64 (.f64 (sqrt.f64 t) t) (.f64 x (.f64 x x)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) t #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (fma.f64 (*.f64 x x) t #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (sqrt.f64 t) #s(literal 0 binary64))) #s(literal 0 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (sqrt.f64 t) #s(literal 0 binary64)) (fma.f64 (*.f64 x x) t #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (sqrt.f64 t) #s(literal 0 binary64))))
(/.f64 (fma.f64 (.f64 (sqrt.f64 t) t) (.f64 x (.f64 x x)) #s(literal 0 binary64)) (fma.f64 (.f64 x x) t #s(literal 0 binary64)))
(/.f64 (fma.f64 (*.f64 x x) t #s(literal 0 binary64)) (fma.f64 x (sqrt.f64 t) #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (sqrt.f64 t) #s(literal 0 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (sqrt.f64 t) #s(literal 0 binary64)) (fma.f64 (*.f64 x x) t #s(literal 0 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 (sqrt.f64 t) t) (.f64 x (.f64 x x)) #s(literal 0 binary64))) (neg.f64 (fma.f64 (.f64 x x) t #s(literal 0 binary64))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) t #s(literal 0 binary64))) (neg.f64 (fma.f64 x (sqrt.f64 t) #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) t #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 x (sqrt.f64 t) #s(literal 0 binary64))))
(/.f64 (-.f64 (fma.f64 (.f64 (sqrt.f64 t) t) (.f64 x (.f64 x x)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (.f64 x x) t #s(literal 0 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 x (sqrt.f64 t) #s(literal 0 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (sqrt.f64 t) #s(literal 0 binary64))) #s(literal 0 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (sqrt.f64 t) #s(literal 0 binary64))) (fma.f64 x (sqrt.f64 t) #s(literal 0 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 x (sqrt.f64 t) #s(literal 0 binary64))) (.f64 (/.f64 (fma.f64 x (sqrt.f64 t) #s(literal 0 binary64)) (fma.f64 (.f64 x x) t #s(literal 0 binary64))) #s(literal 0 binary64))) (.f64 (/.f64 (fma.f64 x (sqrt.f64 t) #s(literal 0 binary64)) (fma.f64 (*.f64 x x) t #s(literal 0 binary64))) (fma.f64 x (sqrt.f64 t) #s(literal 0 binary64))))
(/.f64 (-.f64 (.f64 (fma.f64 (.f64 x x) t #s(literal 0 binary64)) (fma.f64 (.f64 x x) t #s(literal 0 binary64))) (.f64 (fma.f64 (.f64 x x) t #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (.f64 (sqrt.f64 t) t) (.f64 x (.f64 x x)) #s(literal 0 binary64)))
(/.f64 (-.f64 (.f64 (neg.f64 (fma.f64 (.f64 (sqrt.f64 t) t) (.f64 x (.f64 x x)) #s(literal 0 binary64))) (fma.f64 x (sqrt.f64 t) #s(literal 0 binary64))) (.f64 (neg.f64 (fma.f64 (.f64 x x) t #s(literal 0 binary64))) #s(literal 0 binary64))) (.f64 (neg.f64 (fma.f64 (.f64 x x) t #s(literal 0 binary64))) (fma.f64 x (sqrt.f64 t) #s(literal 0 binary64))))
(/.f64 (-.f64 (.f64 (neg.f64 (fma.f64 (.f64 x x) t #s(literal 0 binary64))) (fma.f64 x (sqrt.f64 t) #s(literal 0 binary64))) (.f64 (neg.f64 (fma.f64 x (sqrt.f64 t) #s(literal 0 binary64))) #s(literal 0 binary64))) (.f64 (neg.f64 (fma.f64 x (sqrt.f64 t) #s(literal 0 binary64))) (fma.f64 x (sqrt.f64 t) #s(literal 0 binary64))))
(/.f64 (-.f64 (.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x x) t #s(literal 0 binary64))) (fma.f64 x (sqrt.f64 t) #s(literal 0 binary64))) (.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (sqrt.f64 t) #s(literal 0 binary64))) #s(literal 0 binary64))) (.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (sqrt.f64 t) #s(literal 0 binary64))) (fma.f64 x (sqrt.f64 t) #s(literal 0 binary64))))
(/.f64 (-.f64 (.f64 (-.f64 (fma.f64 (.f64 (sqrt.f64 t) t) (.f64 x (.f64 x x)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (sqrt.f64 t) #s(literal 0 binary64))) (.f64 (fma.f64 (.f64 x x) t #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (.f64 (sqrt.f64 t) t) (.f64 x (*.f64 x x)) #s(literal 0 binary64)))
(/.f64 (neg.f64 (-.f64 (fma.f64 (.f64 (sqrt.f64 t) t) (.f64 x (.f64 x x)) #s(literal 0 binary64)) #s(literal 0 binary64))) (neg.f64 (fma.f64 (.f64 x x) t #s(literal 0 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (sqrt.f64 t) t) (.f64 x (.f64 x x)) #s(literal 0 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 x x) t #s(literal 0 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) t #s(literal 0 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (sqrt.f64 t) #s(literal 0 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) t #s(literal 0 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (sqrt.f64 t) #s(literal 0 binary64)))))
(pow.f64 (fma.f64 x (sqrt.f64 t) #s(literal 0 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 (fma.f64 x (sqrt.f64 t) #s(literal 0 binary64)) (fma.f64 (*.f64 x x) t #s(literal 0 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (sqrt.f64 t) #s(literal 0 binary64))) #s(literal -1 binary64))
(*.f64 x (sqrt.f64 t))
(*.f64 (sqrt.f64 t) x)
(.f64 (fma.f64 (.f64 (sqrt.f64 t) t) (.f64 x (.f64 x x)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) t #s(literal 0 binary64))))
(.f64 (fma.f64 (.f64 x x) t #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (sqrt.f64 t) #s(literal 0 binary64))))

simplify460.0ms (1.4%)

Memory

17.5MiB live, 928.5MiB allocated

Algorithm

1×	egg-herbie

Rules

4 160×	`-lowering-.f32`
4 160×	`-lowering-.f64`
3 826×	`accelerator-lowering-fma.f32`
3 826×	`accelerator-lowering-fma.f64`
2 874×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	85	16128
1	185	15792
2	501	15708
3	1437	15708
4	2791	15708
5	5305	15708
6	7885	15708
0	8197	15276

Stop Event

1×	iter limit
1×	node limit

Counts

1 044 → 1 044

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

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

eval786.0ms (2.4%)

Memory: 35.6MiB live, 1 631.6MiB allocated
Compiler: Compiled 284 902 to 8 072 computations (97.2% saved)

prune592.0ms (1.8%)

Memory

-1.6MiB live, 869.5MiB allocated

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	4 603	4	4 607
Fresh	1	0	1
Picked	3	2	5
Done	0	0	0
Total	4 607	6	4 613

Accuracy

100.0%

Counts

4 613 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.3%	(/.f64 (fma.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) x) #s(literal 0 binary64)) (.f64 y z))) #s(literal 2 binary64)) #s(literal -1/3 binary64) (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64) #s(literal 0 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) x) #s(literal 0 binary64)) (*.f64 y z)))))
▶	97.3%	(/.f64 (-.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) x) #s(literal 0 binary64)) (.f64 y z))) #s(literal 2 binary64))) (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) x) #s(literal 0 binary64)) (*.f64 y z)))) #s(literal 3 binary64)))
▶	98.8%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) x) #s(literal 0 binary64)) (.f64 y z)))) #s(literal 3 binary64))) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal 2 binary64))))
✓	97.3%	(.f64 (/.f64 #s(literal 1/3 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))))) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal 2 binary64))))
▶	76.1%	(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) t #s(literal 0 binary64)) #s(literal 1/324 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y z))) (fma.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) x) #s(literal 0 binary64)))))
✓	98.5%	(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 y z)) (sqrt.f64 t))))

Compiler

Compiled 214 to 134 computations (37.4% saved)

simplify9.9s (30.7%)

Memory

9.7MiB live, 287.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(asin.f64 (/.f64 (fma.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) x) #s(literal 0 binary64)) (.f64 y z)))
✓	cost-diff	0	(pow.f64 (asin.f64 (/.f64 (fma.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) x) #s(literal 0 binary64)) (.f64 y z))) #s(literal 2 binary64))
✓	cost-diff	0	(fma.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) x) #s(literal 0 binary64)) (.f64 y z))) #s(literal 2 binary64)) #s(literal -1/3 binary64) (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64) #s(literal 0 binary64)))
✓	cost-diff	0	(/.f64 (fma.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) x) #s(literal 0 binary64)) (.f64 y z))) #s(literal 2 binary64)) #s(literal -1/3 binary64) (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64) #s(literal 0 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) x) #s(literal 0 binary64)) (*.f64 y z)))))
✓	cost-diff	0	(pow.f64 (asin.f64 (/.f64 (fma.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) x) #s(literal 0 binary64)) (.f64 y z))) #s(literal 2 binary64))
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(-.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) x) #s(literal 0 binary64)) (.f64 y z))) #s(literal 2 binary64)))
✓	cost-diff	192	(/.f64 (-.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) x) #s(literal 0 binary64)) (.f64 y z))) #s(literal 2 binary64))) (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) x) #s(literal 0 binary64)) (*.f64 y z)))) #s(literal 3 binary64)))
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) x) #s(literal 0 binary64)) (.f64 y z))))
✓	cost-diff	128	(.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) x) #s(literal 0 binary64)) (.f64 y z)))) #s(literal 3 binary64))) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal 2 binary64))))
✓	cost-diff	384	(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) x) #s(literal 0 binary64)) (*.f64 y z)))) #s(literal 3 binary64)))
✓	cost-diff	0	(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) t #s(literal 0 binary64)) #s(literal 1/324 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y z))) (fma.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) x) #s(literal 0 binary64)))))
✓	cost-diff	64	(fma.f64 (fma.f64 (*.f64 x x) t #s(literal 0 binary64)) #s(literal 1/324 binary64) #s(literal 0 binary64))
✓	cost-diff	256	(.f64 (fma.f64 (fma.f64 (.f64 x x) t #s(literal 0 binary64)) #s(literal 1/324 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y z)))
✓	cost-diff	768	(/.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) t #s(literal 0 binary64)) #s(literal 1/324 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y z))) (fma.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) x) #s(literal 0 binary64)))

Rules

3 738×	`accelerator-lowering-fma.f32`
3 738×	`accelerator-lowering-fma.f64`
3 732×	`-lowering-.f32`
3 732×	`-lowering-.f64`
2 640×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	627
1	124	611
2	371	605
3	1821	599
4	3409	599
5	3996	599
6	4824	599
7	6041	599
8	7218	599
0	8016	586

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* 1/3 (acos (/ (* (+ (* (+ (* (* x x) t) 0) 1/324) 0) (/ 1 (* y z))) (+ (* (sqrt t) (* 1/18 x)) 0))))
1/3
(acos (/ (* (+ (* (+ (* (* x x) t) 0) 1/324) 0) (/ 1 (* y z))) (+ (* (sqrt t) (* 1/18 x)) 0)))
(/ (* (+ (* (+ (* (* x x) t) 0) 1/324) 0) (/ 1 (* y z))) (+ (* (sqrt t) (* 1/18 x)) 0))
(* (+ (* (+ (* (* x x) t) 0) 1/324) 0) (/ 1 (* y z)))
(+ (* (+ (* (* x x) t) 0) 1/324) 0)
(+ (* (* x x) t) 0)
(* x x)
x
t
0
1/324
(/ 1 (* y z))
1
(* y z)
y
z
(+ (* (sqrt t) (* 1/18 x)) 0)
(sqrt t)
(* 1/18 x)
1/18
(* (/ 1 (* (+ (* (PI) 1/2) (asin (/ (+ (* (sqrt t) (* 1/18 x)) 0) (* y z)))) 3)) (- (* (* (PI) (PI)) 1/4) (pow (asin (/ (* 1/18 (* x (sqrt t))) (* y z))) 2)))
(/ 1 (* (+ (* (PI) 1/2) (asin (/ (+ (* (sqrt t) (* 1/18 x)) 0) (* y z)))) 3))
1
(* (+ (* (PI) 1/2) (asin (/ (+ (* (sqrt t) (* 1/18 x)) 0) (* y z)))) 3)
(+ (* (PI) 1/2) (asin (/ (+ (* (sqrt t) (* 1/18 x)) 0) (* y z))))
(PI)
1/2
(asin (/ (+ (* (sqrt t) (* 1/18 x)) 0) (* y z)))
(/ (+ (* (sqrt t) (* 1/18 x)) 0) (* y z))
(+ (* (sqrt t) (* 1/18 x)) 0)
(sqrt t)
t
(* 1/18 x)
1/18
x
0
(* y z)
y
z
3
(- (* (* (PI) (PI)) 1/4) (pow (asin (/ (* 1/18 (* x (sqrt t))) (* y z))) 2))
(* (* (PI) (PI)) 1/4)
(* (PI) (PI))
1/4
(pow (asin (/ (* 1/18 (* x (sqrt t))) (* y z))) 2)
(asin (/ (* 1/18 (* x (sqrt t))) (* y z)))
(/ (* 1/18 (* x (sqrt t))) (* y z))
(* 1/18 (* x (sqrt t)))
(* x (sqrt t))
2
(/ (- (* (PI) (* (PI) 1/4)) (pow (asin (/ (+ (* (sqrt t) (* 1/18 x)) 0) (* y z))) 2)) (* (+ (* (PI) 1/2) (asin (/ (+ (* (sqrt t) (* 1/18 x)) 0) (* y z)))) 3))
(- (* (PI) (* (PI) 1/4)) (pow (asin (/ (+ (* (sqrt t) (* 1/18 x)) 0) (* y z))) 2))
(* (PI) (* (PI) 1/4))
(PI)
(* (PI) 1/4)
1/4
(pow (asin (/ (+ (* (sqrt t) (* 1/18 x)) 0) (* y z))) 2)
(asin (/ (+ (* (sqrt t) (* 1/18 x)) 0) (* y z)))
(/ (+ (* (sqrt t) (* 1/18 x)) 0) (* y z))
(+ (* (sqrt t) (* 1/18 x)) 0)
(sqrt t)
t
(* 1/18 x)
1/18
x
0
(* y z)
y
z
2
(* (+ (* (PI) 1/2) (asin (/ (+ (* (sqrt t) (* 1/18 x)) 0) (* y z)))) 3)
(+ (* (PI) 1/2) (asin (/ (+ (* (sqrt t) (* 1/18 x)) 0) (* y z))))
1/2
3
(/ (+ (* (pow (asin (/ (+ (* (sqrt t) (* 1/18 x)) 0) (* y z))) 2) -1/3) (+ (* (* (PI) (PI)) 1/12) 0)) (+ (* (PI) 1/2) (asin (/ (+ (* (sqrt t) (* 1/18 x)) 0) (* y z)))))
(+ (* (pow (asin (/ (+ (* (sqrt t) (* 1/18 x)) 0) (* y z))) 2) -1/3) (+ (* (* (PI) (PI)) 1/12) 0))
(pow (asin (/ (+ (* (sqrt t) (* 1/18 x)) 0) (* y z))) 2)
(asin (/ (+ (* (sqrt t) (* 1/18 x)) 0) (* y z)))
(/ (+ (* (sqrt t) (* 1/18 x)) 0) (* y z))
(+ (* (sqrt t) (* 1/18 x)) 0)
(sqrt t)
t
(* 1/18 x)
1/18
x
0
(* y z)
y
z
2
-1/3
(+ (* (* (PI) (PI)) 1/12) 0)
(* (PI) (PI))
(PI)
1/12
(+ (* (PI) 1/2) (asin (/ (+ (* (sqrt t) (* 1/18 x)) 0) (* y z))))
1/2

Outputs
(* 1/3 (acos (/ (* (+ (* (+ (* (* x x) t) 0) 1/324) 0) (/ 1 (* y z))) (+ (* (sqrt t) (* 1/18 x)) 0))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (fma.f64 (/.f64 (.f64 x (.f64 t #s(literal 1/324 binary64))) (sqrt.f64 t)) (/.f64 #s(literal 18 binary64) (.f64 y z)) #s(literal 0 binary64))))
1/3
#s(literal 1/3 binary64)
(acos (/ (* (+ (* (+ (* (* x x) t) 0) 1/324) 0) (/ 1 (* y z))) (+ (* (sqrt t) (* 1/18 x)) 0)))
(acos.f64 (fma.f64 (/.f64 (.f64 x (.f64 t #s(literal 1/324 binary64))) (sqrt.f64 t)) (/.f64 #s(literal 18 binary64) (*.f64 y z)) #s(literal 0 binary64)))
(/ (* (+ (* (+ (* (* x x) t) 0) 1/324) 0) (/ 1 (* y z))) (+ (* (sqrt t) (* 1/18 x)) 0))
(fma.f64 (/.f64 (.f64 x (.f64 t #s(literal 1/324 binary64))) (sqrt.f64 t)) (/.f64 #s(literal 18 binary64) (*.f64 y z)) #s(literal 0 binary64))
(* (+ (* (+ (* (* x x) t) 0) 1/324) 0) (/ 1 (* y z)))
(fma.f64 (fma.f64 x (.f64 x t) #s(literal 0 binary64)) (/.f64 #s(literal 1/324 binary64) (.f64 y z)) #s(literal 0 binary64))
(+ (* (+ (* (* x x) t) 0) 1/324) 0)
(fma.f64 x (.f64 x (.f64 t #s(literal 1/324 binary64))) #s(literal 0 binary64))
(+ (* (* x x) t) 0)
(fma.f64 x (*.f64 x t) #s(literal 0 binary64))
(* x x)
(*.f64 x x)
x
t
0
#s(literal 0 binary64)
1/324
#s(literal 1/324 binary64)
(/ 1 (* y z))
(/.f64 #s(literal 1 binary64) (*.f64 y z))
1
#s(literal 1 binary64)
(* y z)
(*.f64 y z)
y
z
(+ (* (sqrt t) (* 1/18 x)) 0)
(fma.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) #s(literal 0 binary64))
(sqrt t)
(sqrt.f64 t)
(* 1/18 x)
(*.f64 x #s(literal 1/18 binary64))
1/18
#s(literal 1/18 binary64)
(* (/ 1 (* (+ (* (PI) 1/2) (asin (/ (+ (* (sqrt t) (* 1/18 x)) 0) (* y z)))) 3)) (- (* (* (PI) (PI)) 1/4) (pow (asin (/ (* 1/18 (* x (sqrt t))) (* y z))) 2)))
(/.f64 (fma.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) #s(literal 0 binary64)) (.f64 y z))) #s(literal 2 binary64)) #s(literal -1/3 binary64) (fma.f64 (PI.f64) (fma.f64 (PI.f64) #s(literal 1/12 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) #s(literal 0 binary64)) (.f64 y z)))))
(/ 1 (* (+ (* (PI) 1/2) (asin (/ (+ (* (sqrt t) (* 1/18 x)) 0) (* y z)))) 3))
(/.f64 #s(literal 1/3 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) #s(literal 0 binary64)) (.f64 y z)))))
1
#s(literal 1 binary64)
(* (+ (* (PI) 1/2) (asin (/ (+ (* (sqrt t) (* 1/18 x)) 0) (* y z)))) 3)
(fma.f64 (asin.f64 (/.f64 (fma.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) #s(literal 0 binary64)) (.f64 y z))) #s(literal 3 binary64) (fma.f64 (PI.f64) #s(literal 3/2 binary64) #s(literal 0 binary64)))
(+ (* (PI) 1/2) (asin (/ (+ (* (sqrt t) (* 1/18 x)) 0) (* y z))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) #s(literal 0 binary64)) (.f64 y z))))
(PI)
(PI.f64)
1/2
#s(literal 1/2 binary64)
(asin (/ (+ (* (sqrt t) (* 1/18 x)) 0) (* y z)))
(asin.f64 (/.f64 (fma.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) #s(literal 0 binary64)) (.f64 y z)))
(/ (+ (* (sqrt t) (* 1/18 x)) 0) (* y z))
(/.f64 (fma.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) #s(literal 0 binary64)) (.f64 y z))
(+ (* (sqrt t) (* 1/18 x)) 0)
(fma.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) #s(literal 0 binary64))
(sqrt t)
(sqrt.f64 t)
t
(* 1/18 x)
(*.f64 x #s(literal 1/18 binary64))
1/18
#s(literal 1/18 binary64)
x
0
#s(literal 0 binary64)
(* y z)
(*.f64 y z)
y
z
3
#s(literal 3 binary64)
(- (* (* (PI) (PI)) 1/4) (pow (asin (/ (* 1/18 (* x (sqrt t))) (* y z))) 2))
(-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) (fma.f64 (PI.f64) #s(literal -1/4 binary64) #s(literal 0 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) #s(literal 0 binary64)) (.f64 y z))) #s(literal 2 binary64))))
(* (* (PI) (PI)) 1/4)
(fma.f64 (fma.f64 (PI.f64) (PI.f64) #s(literal 0 binary64)) #s(literal 1/4 binary64) #s(literal 0 binary64))
(* (PI) (PI))
(fma.f64 (PI.f64) (PI.f64) #s(literal 0 binary64))
1/4
#s(literal 1/4 binary64)
(pow (asin (/ (* 1/18 (* x (sqrt t))) (* y z))) 2)
(pow.f64 (asin.f64 (/.f64 (fma.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) #s(literal 0 binary64)) (.f64 y z))) #s(literal 2 binary64))
(asin (/ (* 1/18 (* x (sqrt t))) (* y z)))
(asin.f64 (/.f64 (fma.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) #s(literal 0 binary64)) (.f64 y z)))
(/ (* 1/18 (* x (sqrt t))) (* y z))
(/.f64 (fma.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) #s(literal 0 binary64)) (.f64 y z))
(* 1/18 (* x (sqrt t)))
(fma.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) #s(literal 0 binary64))
(* x (sqrt t))
(*.f64 x (sqrt.f64 t))
2
#s(literal 2 binary64)
(/ (- (* (PI) (* (PI) 1/4)) (pow (asin (/ (+ (* (sqrt t) (* 1/18 x)) 0) (* y z))) 2)) (* (+ (* (PI) 1/2) (asin (/ (+ (* (sqrt t) (* 1/18 x)) 0) (* y z)))) 3))
(/.f64 (fma.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) #s(literal 0 binary64)) (.f64 y z))) #s(literal 2 binary64)) #s(literal -1/3 binary64) (fma.f64 (PI.f64) (fma.f64 (PI.f64) #s(literal 1/12 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) #s(literal 0 binary64)) (.f64 y z)))))
(- (* (PI) (* (PI) 1/4)) (pow (asin (/ (+ (* (sqrt t) (* 1/18 x)) 0) (* y z))) 2))
(-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) (fma.f64 (PI.f64) #s(literal -1/4 binary64) #s(literal 0 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) #s(literal 0 binary64)) (.f64 y z))) #s(literal 2 binary64))))
(* (PI) (* (PI) 1/4))
(fma.f64 (fma.f64 (PI.f64) (PI.f64) #s(literal 0 binary64)) #s(literal 1/4 binary64) #s(literal 0 binary64))
(PI)
(PI.f64)
(* (PI) 1/4)
(fma.f64 (PI.f64) #s(literal 1/4 binary64) #s(literal 0 binary64))
1/4
#s(literal 1/4 binary64)
(pow (asin (/ (+ (* (sqrt t) (* 1/18 x)) 0) (* y z))) 2)
(pow.f64 (asin.f64 (/.f64 (fma.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) #s(literal 0 binary64)) (.f64 y z))) #s(literal 2 binary64))
(asin (/ (+ (* (sqrt t) (* 1/18 x)) 0) (* y z)))
(asin.f64 (/.f64 (fma.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) #s(literal 0 binary64)) (.f64 y z)))
(/ (+ (* (sqrt t) (* 1/18 x)) 0) (* y z))
(/.f64 (fma.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) #s(literal 0 binary64)) (.f64 y z))
(+ (* (sqrt t) (* 1/18 x)) 0)
(fma.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) #s(literal 0 binary64))
(sqrt t)
(sqrt.f64 t)
t
(* 1/18 x)
(*.f64 x #s(literal 1/18 binary64))
1/18
#s(literal 1/18 binary64)
x
0
#s(literal 0 binary64)
(* y z)
(*.f64 y z)
y
z
2
#s(literal 2 binary64)
(* (+ (* (PI) 1/2) (asin (/ (+ (* (sqrt t) (* 1/18 x)) 0) (* y z)))) 3)
(fma.f64 (asin.f64 (/.f64 (fma.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) #s(literal 0 binary64)) (.f64 y z))) #s(literal 3 binary64) (fma.f64 (PI.f64) #s(literal 3/2 binary64) #s(literal 0 binary64)))
(+ (* (PI) 1/2) (asin (/ (+ (* (sqrt t) (* 1/18 x)) 0) (* y z))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) #s(literal 0 binary64)) (.f64 y z))))
1/2
#s(literal 1/2 binary64)
3
#s(literal 3 binary64)
(/ (+ (* (pow (asin (/ (+ (* (sqrt t) (* 1/18 x)) 0) (* y z))) 2) -1/3) (+ (* (* (PI) (PI)) 1/12) 0)) (+ (* (PI) 1/2) (asin (/ (+ (* (sqrt t) (* 1/18 x)) 0) (* y z)))))
(/.f64 (fma.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) #s(literal 0 binary64)) (.f64 y z))) #s(literal 2 binary64)) #s(literal -1/3 binary64) (fma.f64 (PI.f64) (fma.f64 (PI.f64) #s(literal 1/12 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) #s(literal 0 binary64)) (.f64 y z)))))
(+ (* (pow (asin (/ (+ (* (sqrt t) (* 1/18 x)) 0) (* y z))) 2) -1/3) (+ (* (* (PI) (PI)) 1/12) 0))
(fma.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) #s(literal 0 binary64)) (.f64 y z))) #s(literal 2 binary64)) #s(literal -1/3 binary64) (fma.f64 (PI.f64) (fma.f64 (PI.f64) #s(literal 1/12 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)))
(pow (asin (/ (+ (* (sqrt t) (* 1/18 x)) 0) (* y z))) 2)
(pow.f64 (asin.f64 (/.f64 (fma.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) #s(literal 0 binary64)) (.f64 y z))) #s(literal 2 binary64))
(asin (/ (+ (* (sqrt t) (* 1/18 x)) 0) (* y z)))
(asin.f64 (/.f64 (fma.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) #s(literal 0 binary64)) (.f64 y z)))
(/ (+ (* (sqrt t) (* 1/18 x)) 0) (* y z))
(/.f64 (fma.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) #s(literal 0 binary64)) (.f64 y z))
(+ (* (sqrt t) (* 1/18 x)) 0)
(fma.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) #s(literal 0 binary64))
(sqrt t)
(sqrt.f64 t)
t
(* 1/18 x)
(*.f64 x #s(literal 1/18 binary64))
1/18
#s(literal 1/18 binary64)
x
0
#s(literal 0 binary64)
(* y z)
(*.f64 y z)
y
z
2
#s(literal 2 binary64)
-1/3
#s(literal -1/3 binary64)
(+ (* (* (PI) (PI)) 1/12) 0)
(fma.f64 (PI.f64) (fma.f64 (PI.f64) #s(literal 1/12 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (PI) (PI))
(fma.f64 (PI.f64) (PI.f64) #s(literal 0 binary64))
(PI)
(PI.f64)
1/12
#s(literal 1/12 binary64)
(+ (* (PI) 1/2) (asin (/ (+ (* (sqrt t) (* 1/18 x)) 0) (* y z))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) #s(literal 0 binary64)) (.f64 y z))))
1/2
#s(literal 1/2 binary64)

localize484.0ms (1.5%)

Memory

-14.7MiB live, 383.9MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.5%	(*.f64 #s(literal 1/18 binary64) x)
✓	accuracy	99.5%	(fma.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) x) #s(literal 0 binary64))
✓	accuracy	98.4%	(fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64) #s(literal 0 binary64))
✓	accuracy	88.1%	(/.f64 (fma.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) x) #s(literal 0 binary64)) (.f64 y z))
✓	accuracy	99.5%	(*.f64 #s(literal 1/18 binary64) x)
✓	accuracy	99.5%	(fma.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) x) #s(literal 0 binary64))
✓	accuracy	98.5%	(/.f64 (-.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) x) #s(literal 0 binary64)) (.f64 y z))) #s(literal 2 binary64))) (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) x) #s(literal 0 binary64)) (*.f64 y z)))) #s(literal 3 binary64)))
✓	accuracy	88.1%	(/.f64 (fma.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) x) #s(literal 0 binary64)) (.f64 y z))
✓	accuracy	99.5%	(fma.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) x) #s(literal 0 binary64))
✓	accuracy	99.4%	(.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t)))
✓	accuracy	88.1%	(/.f64 (fma.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) x) #s(literal 0 binary64)) (.f64 y z))
✓	accuracy	88.1%	(/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z))
✓	accuracy	98.5%	(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) t #s(literal 0 binary64)) #s(literal 1/324 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y z))) (fma.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) x) #s(literal 0 binary64)))))
✓	accuracy	90.5%	(fma.f64 (*.f64 x x) t #s(literal 0 binary64))
✓	accuracy	86.6%	(.f64 (fma.f64 (fma.f64 (.f64 x x) t #s(literal 0 binary64)) #s(literal 1/324 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y z)))
✓	accuracy	66.2%	(/.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) t #s(literal 0 binary64)) #s(literal 1/324 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y z))) (fma.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) x) #s(literal 0 binary64)))

Samples

237.0ms

256×

valid

Compiler

Compiled 656 to 58 computations (91.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 177.0ms

ival-mult: 127.0ms (71.7% of total)

const: 16.0ms (9% of total)

ival-div: 11.0ms (6.2% of total)

ival-add: 6.0ms (3.4% of total)

ival-pow2: 4.0ms (2.3% of total)

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

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

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

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

ival-pi: 1.0ms (0.6% of total)

exact: 1.0ms (0.6% of total)

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

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

series72.0ms (0.2%)

Memory

26.9MiB live, 65.3MiB allocated

Counts

21 → 780

Calls

Call 1

Inputs
#<alt (/ (* (+ (* (+ (* (* x x) t) 0) 1/324) 0) (/ 1 (* y z))) (+ (* (sqrt t) (* 1/18 x)) 0))>
#<alt (* (+ (* (+ (* (* x x) t) 0) 1/324) 0) (/ 1 (* y z)))>
#<alt (+ (* (+ (* (* x x) t) 0) 1/324) 0)>
#<alt (* 1/3 (acos (/ (* (+ (* (+ (* (* x x) t) 0) 1/324) 0) (/ 1 (* y z))) (+ (* (sqrt t) (* 1/18 x)) 0))))>
#<alt (/ 1 (* (+ (* (PI) 1/2) (asin (/ (+ (* (sqrt t) (* 1/18 x)) 0) (* y z)))) 3))>
#<alt (* (/ 1 (* (+ (* (PI) 1/2) (asin (/ (+ (* (sqrt t) (* 1/18 x)) 0) (* y z)))) 3)) (- (* (* (PI) (PI)) 1/4) (pow (asin (/ (* 1/18 (* x (sqrt t))) (* y z))) 2)))>
#<alt (+ (* (PI) 1/2) (asin (/ (+ (* (sqrt t) (* 1/18 x)) 0) (* y z))))>
#<alt (PI)>
#<alt (/ (- (* (PI) (* (PI) 1/4)) (pow (asin (/ (+ (* (sqrt t) (* 1/18 x)) 0) (* y z))) 2)) (* (+ (* (PI) 1/2) (asin (/ (+ (* (sqrt t) (* 1/18 x)) 0) (* y z)))) 3))>
#<alt (- (* (PI) (* (PI) 1/4)) (pow (asin (/ (+ (* (sqrt t) (* 1/18 x)) 0) (* y z))) 2))>
#<alt (pow (asin (/ (+ (* (sqrt t) (* 1/18 x)) 0) (* y z))) 2)>
#<alt (/ (+ (* (pow (asin (/ (+ (* (sqrt t) (* 1/18 x)) 0) (* y z))) 2) -1/3) (+ (* (* (PI) (PI)) 1/12) 0)) (+ (* (PI) 1/2) (asin (/ (+ (* (sqrt t) (* 1/18 x)) 0) (* y z)))))>
#<alt (+ (* (pow (asin (/ (+ (* (sqrt t) (* 1/18 x)) 0) (* y z))) 2) -1/3) (+ (* (* (PI) (PI)) 1/12) 0))>
#<alt (asin (/ (+ (* (sqrt t) (* 1/18 x)) 0) (* y z)))>
#<alt (+ (* (* x x) t) 0)>
#<alt (/ (* 1/18 (* x (sqrt t))) (* y z))>
#<alt (/ (+ (* (sqrt t) (* 1/18 x)) 0) (* y z))>
#<alt (* 1/18 (* x (sqrt t)))>
#<alt (+ (* (sqrt t) (* 1/18 x)) 0)>
#<alt (* 1/18 x)>
#<alt (+ (* (* (PI) (PI)) 1/12) 0)>

Outputs
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/324 (/ (* t (pow x 2)) (* y z)))>
#<alt (* 1/324 (/ (* t (pow x 2)) (* y z)))>
#<alt (* 1/324 (/ (* t (pow x 2)) (* y z)))>
#<alt (* 1/324 (/ (* t (pow x 2)) (* y z)))>
#<alt (* 1/324 (/ (* t (pow x 2)) (* y z)))>
#<alt (* 1/324 (/ (* t (pow x 2)) (* y z)))>
#<alt (* 1/324 (/ (* t (pow x 2)) (* y z)))>
#<alt (* 1/324 (/ (* t (pow x 2)) (* y z)))>
#<alt (* 1/324 (/ (* t (pow x 2)) (* y z)))>
#<alt (* 1/324 (/ (* t (pow x 2)) (* y z)))>
#<alt (* 1/324 (/ (* t (pow x 2)) (* y z)))>
#<alt (* 1/324 (/ (* t (pow x 2)) (* y z)))>
#<alt (* 1/324 (/ (* t (pow x 2)) (* y z)))>
#<alt (* 1/324 (/ (* t (pow x 2)) (* y z)))>
#<alt (* 1/324 (/ (* t (pow x 2)) (* y z)))>
#<alt (* 1/324 (/ (* t (pow x 2)) (* y z)))>
#<alt (* 1/324 (/ (* t (pow x 2)) (* y z)))>
#<alt (* 1/324 (/ (* t (pow x 2)) (* y z)))>
#<alt (* 1/324 (/ (* t (pow x 2)) (* y z)))>
#<alt (* 1/324 (/ (* t (pow x 2)) (* y z)))>
#<alt (* 1/324 (/ (* t (pow x 2)) (* y z)))>
#<alt (* 1/324 (/ (* t (pow x 2)) (* y z)))>
#<alt (* 1/324 (/ (* t (pow x 2)) (* y z)))>
#<alt (* 1/324 (/ (* t (pow x 2)) (* y z)))>
#<alt (* 1/324 (/ (* t (pow x 2)) (* y z)))>
#<alt (* 1/324 (/ (* t (pow x 2)) (* y z)))>
#<alt (* 1/324 (/ (* t (pow x 2)) (* y z)))>
#<alt (* 1/324 (/ (* t (pow x 2)) (* y z)))>
#<alt (* 1/324 (/ (* t (pow x 2)) (* y z)))>
#<alt (* 1/324 (/ (* t (pow x 2)) (* y z)))>
#<alt (* 1/324 (/ (* t (pow x 2)) (* y z)))>
#<alt (* 1/324 (/ (* t (pow x 2)) (* y z)))>
#<alt (* 1/324 (/ (* t (pow x 2)) (* y z)))>
#<alt (* 1/324 (/ (* t (pow x 2)) (* y z)))>
#<alt (* 1/324 (/ (* t (pow x 2)) (* y z)))>
#<alt (* 1/324 (/ (* t (pow x 2)) (* y z)))>
#<alt (* 1/324 (/ (* t (pow x 2)) (* y z)))>
#<alt (* 1/324 (/ (* t (pow x 2)) (* y z)))>
#<alt (* 1/324 (/ (* t (pow x 2)) (* y z)))>
#<alt (* 1/324 (/ (* t (pow x 2)) (* y z)))>
#<alt (* 1/324 (/ (* t (pow x 2)) (* y z)))>
#<alt (* 1/324 (/ (* t (pow x 2)) (* y z)))>
#<alt (* 1/324 (/ (* t (pow x 2)) (* y z)))>
#<alt (* 1/324 (/ (* t (pow x 2)) (* y z)))>
#<alt (* 1/324 (/ (* t (pow x 2)) (* y z)))>
#<alt (* 1/324 (/ (* t (pow x 2)) (* y z)))>
#<alt (* 1/324 (/ (* t (pow x 2)) (* y z)))>
#<alt (* 1/324 (/ (* t (pow x 2)) (* y z)))>
#<alt (* 1/324 (* t (pow x 2)))>
#<alt (* 1/324 (* t (pow x 2)))>
#<alt (* 1/324 (* t (pow x 2)))>
#<alt (* 1/324 (* t (pow x 2)))>
#<alt (* 1/324 (* t (pow x 2)))>
#<alt (* 1/324 (* t (pow x 2)))>
#<alt (* 1/324 (* t (pow x 2)))>
#<alt (* 1/324 (* t (pow x 2)))>
#<alt (* 1/324 (* t (pow x 2)))>
#<alt (* 1/324 (* t (pow x 2)))>
#<alt (* 1/324 (* t (pow x 2)))>
#<alt (* 1/324 (* t (pow x 2)))>
#<alt (* 1/324 (* t (pow x 2)))>
#<alt (* 1/324 (* t (pow x 2)))>
#<alt (* 1/324 (* t (pow x 2)))>
#<alt (* 1/324 (* t (pow x 2)))>
#<alt (* 1/324 (* t (pow x 2)))>
#<alt (* 1/324 (* t (pow x 2)))>
#<alt (* 1/324 (* t (pow x 2)))>
#<alt (* 1/324 (* t (pow x 2)))>
#<alt (* 1/324 (* t (pow x 2)))>
#<alt (* 1/324 (* t (pow x 2)))>
#<alt (* 1/324 (* t (pow x 2)))>
#<alt (* 1/324 (* t (pow x 2)))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* -1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* -1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* -1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* -1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<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))))>
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Calls

195 calls:

Time	Variable		Point	Expression
38.0ms	y	@	inf	(+ (* (pow (asin (/ (+ (* (sqrt t) (* 1/18 x)) 0) (* y z))) 2) -1/3) (+ (* (* (PI) (PI)) 1/12) 0))
2.0ms	t	@	-inf	(/ (* (+ (* (+ (* (* x x) t) 0) 1/324) 0) (/ 1 (* y z))) (+ (* (sqrt t) (* 1/18 x)) 0))
1.0ms	t	@	0	(* (+ (* (+ (* (* x x) t) 0) 1/324) 0) (/ 1 (* y z)))
1.0ms	x	@	inf	(/ (* (+ (* (+ (* (* x x) t) 0) 1/324) 0) (/ 1 (* y z))) (+ (* (sqrt t) (* 1/18 x)) 0))
1.0ms	z	@	0	(* (+ (* (+ (* (* x x) t) 0) 1/324) 0) (/ 1 (* y z)))

rewrite855.0ms (2.6%)

Memory

-23.8MiB live, 851.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 940×	`accelerator-lowering-fma.f32`
4 940×	`accelerator-lowering-fma.f64`
4 086×	`-lowering-.f32`
4 086×	`-lowering-.f64`
3 706×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	312
1	304	262
2	2683	262
0	8221	257

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 1 284

Calls

Call 1

Inputs
(/ (* (+ (* (+ (* (* x x) t) 0) 1/324) 0) (/ 1 (* y z))) (+ (* (sqrt t) (* 1/18 x)) 0))
(* (+ (* (+ (* (* x x) t) 0) 1/324) 0) (/ 1 (* y z)))
(+ (* (+ (* (* x x) t) 0) 1/324) 0)
(* 1/3 (acos (/ (* (+ (* (+ (* (* x x) t) 0) 1/324) 0) (/ 1 (* y z))) (+ (* (sqrt t) (* 1/18 x)) 0))))
(/ 1 (* (+ (* (PI) 1/2) (asin (/ (+ (* (sqrt t) (* 1/18 x)) 0) (* y z)))) 3))
(* (/ 1 (* (+ (* (PI) 1/2) (asin (/ (+ (* (sqrt t) (* 1/18 x)) 0) (* y z)))) 3)) (- (* (* (PI) (PI)) 1/4) (pow (asin (/ (* 1/18 (* x (sqrt t))) (* y z))) 2)))
(+ (* (PI) 1/2) (asin (/ (+ (* (sqrt t) (* 1/18 x)) 0) (* y z))))
(PI)
(/ (- (* (PI) (* (PI) 1/4)) (pow (asin (/ (+ (* (sqrt t) (* 1/18 x)) 0) (* y z))) 2)) (* (+ (* (PI) 1/2) (asin (/ (+ (* (sqrt t) (* 1/18 x)) 0) (* y z)))) 3))
(- (* (PI) (* (PI) 1/4)) (pow (asin (/ (+ (* (sqrt t) (* 1/18 x)) 0) (* y z))) 2))
(pow (asin (/ (+ (* (sqrt t) (* 1/18 x)) 0) (* y z))) 2)
(/ (+ (* (pow (asin (/ (+ (* (sqrt t) (* 1/18 x)) 0) (* y z))) 2) -1/3) (+ (* (* (PI) (PI)) 1/12) 0)) (+ (* (PI) 1/2) (asin (/ (+ (* (sqrt t) (* 1/18 x)) 0) (* y z)))))
(+ (* (pow (asin (/ (+ (* (sqrt t) (* 1/18 x)) 0) (* y z))) 2) -1/3) (+ (* (* (PI) (PI)) 1/12) 0))
(asin (/ (+ (* (sqrt t) (* 1/18 x)) 0) (* y z)))
(+ (* (* x x) t) 0)
(/ (* 1/18 (* x (sqrt t))) (* y z))
(/ (+ (* (sqrt t) (* 1/18 x)) 0) (* y z))
(* 1/18 (* x (sqrt t)))
(+ (* (sqrt t) (* 1/18 x)) 0)
(* 1/18 x)
(+ (* (* (PI) (PI)) 1/12) 0)

Outputs
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 (fma.f64 (sqrt.f64 t) (.f64 x #s(literal 1/18 binary64)) #s(literal 0 binary64)) (fma.f64 x (.f64 (.f64 x t) #s(literal 1/324 binary64)) #s(literal 0 binary64))) (.f64 y z))) #s(literal -1 binary64)))
(-.f64 (/.f64 (fma.f64 x (.f64 (.f64 x t) #s(literal 1/324 binary64)) #s(literal 0 binary64)) (.f64 (.f64 y z) (fma.f64 (sqrt.f64 t) (.f64 x #s(literal 1/18 binary64)) #s(literal 0 binary64)))) (/.f64 #s(literal 0 binary64) (.f64 (.f64 y z) (fma.f64 (sqrt.f64 t) (.f64 x #s(literal 1/18 binary64)) #s(literal 0 binary64)))))
(-.f64 (/.f64 (fma.f64 x (.f64 (.f64 x t) #s(literal 1/324 binary64)) #s(literal 0 binary64)) (.f64 (.f64 y z) (fma.f64 (sqrt.f64 t) (.f64 x #s(literal 1/18 binary64)) #s(literal 0 binary64)))) (/.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x (.f64 (.f64 x t) #s(literal 1/324 binary64)) #s(literal 0 binary64))) (.f64 (.f64 y z) (fma.f64 (sqrt.f64 t) (.f64 x #s(literal 1/18 binary64)) #s(literal 0 binary64)))))
(-.f64 (/.f64 (fma.f64 x (.f64 (.f64 x t) #s(literal 1/324 binary64)) #s(literal 0 binary64)) (.f64 (.f64 y z) (fma.f64 (sqrt.f64 t) (.f64 x #s(literal 1/18 binary64)) #s(literal 0 binary64)))) (/.f64 #s(literal 0 binary64) (.f64 (fma.f64 (sqrt.f64 t) (.f64 x #s(literal 1/18 binary64)) #s(literal 0 binary64)) (.f64 y z))))
(-.f64 (/.f64 (fma.f64 x (.f64 (.f64 x t) #s(literal 1/324 binary64)) #s(literal 0 binary64)) (.f64 (.f64 y z) (fma.f64 (sqrt.f64 t) (.f64 x #s(literal 1/18 binary64)) #s(literal 0 binary64)))) (/.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x (.f64 (.f64 x t) #s(literal 1/324 binary64)) #s(literal 0 binary64))) (.f64 (fma.f64 (sqrt.f64 t) (.f64 x #s(literal 1/18 binary64)) #s(literal 0 binary64)) (.f64 y z))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 t) (.f64 x #s(literal 1/18 binary64)) #s(literal 0 binary64))) (/.f64 (/.f64 (fma.f64 x (.f64 (.f64 x t) #s(literal 1/324 binary64)) #s(literal 0 binary64)) (.f64 y z)) (fma.f64 (*.f64 x (sqrt.f64 t)) #s(literal -1/18 binary64) #s(literal 0 binary64))))
(neg.f64 (/.f64 (/.f64 (fma.f64 x (.f64 (.f64 x t) #s(literal 1/324 binary64)) #s(literal 0 binary64)) (.f64 y z)) (fma.f64 (.f64 x (sqrt.f64 t)) #s(literal -1/18 binary64) #s(literal 0 binary64))))
(neg.f64 (/.f64 (/.f64 (fma.f64 x (.f64 (.f64 x t) #s(literal 1/324 binary64)) #s(literal 0 binary64)) (.f64 z (neg.f64 y))) (fma.f64 (sqrt.f64 t) (.f64 x #s(literal 1/18 binary64)) #s(literal 0 binary64))))
(/.f64 (fma.f64 x (.f64 (.f64 x t) #s(literal 1/324 binary64)) #s(literal 0 binary64)) (.f64 (.f64 y z) (fma.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64)) #s(literal 0 binary64))))
(/.f64 (fma.f64 x (.f64 (.f64 x t) #s(literal 1/324 binary64)) #s(literal 0 binary64)) (.f64 (fma.f64 (sqrt.f64 t) (.f64 x #s(literal 1/18 binary64)) #s(literal 0 binary64)) (*.f64 y z)))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (fma.f64 (sqrt.f64 t) (.f64 x #s(literal 1/18 binary64)) #s(literal 0 binary64)) (fma.f64 x (.f64 (.f64 x t) #s(literal 1/324 binary64)) #s(literal 0 binary64))) (*.f64 y z)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (fma.f64 (sqrt.f64 t) (.f64 x #s(literal 1/18 binary64)) #s(literal 0 binary64)) (fma.f64 x (.f64 (.f64 x t) #s(literal 1/324 binary64)) #s(literal 0 binary64))) (*.f64 y z)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (.f64 (/.f64 (fma.f64 (sqrt.f64 t) (.f64 x #s(literal 1/18 binary64)) #s(literal 0 binary64)) (fma.f64 x (.f64 (.f64 x t) #s(literal 1/324 binary64)) #s(literal 0 binary64))) (*.f64 y z)))))
(/.f64 (/.f64 (fma.f64 x (.f64 (.f64 x t) #s(literal 1/324 binary64)) #s(literal 0 binary64)) (.f64 y z)) (fma.f64 (sqrt.f64 t) (.f64 x #s(literal 1/18 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (/.f64 (fma.f64 (sqrt.f64 t) (.f64 x #s(literal 1/18 binary64)) #s(literal 0 binary64)) (fma.f64 x (.f64 (.f64 x t) #s(literal 1/324 binary64)) #s(literal 0 binary64))) (*.f64 y z))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 (/.f64 (fma.f64 (sqrt.f64 t) (.f64 x #s(literal 1/18 binary64)) #s(literal 0 binary64)) (fma.f64 x (.f64 (.f64 x t) #s(literal 1/324 binary64)) #s(literal 0 binary64))) (*.f64 y z)) #s(literal 1 binary64))))
(/.f64 (/.f64 (fma.f64 x (.f64 (.f64 x t) #s(literal 1/324 binary64)) #s(literal 0 binary64)) (.f64 z (neg.f64 y))) (fma.f64 (.f64 x (sqrt.f64 t)) #s(literal -1/18 binary64) #s(literal 0 binary64)))
(/.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) t #s(literal 0 binary64)) (fma.f64 (fma.f64 (.f64 x x) t #s(literal 0 binary64)) (fma.f64 (.f64 x x) t #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/34012224 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y z))) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) t #s(literal 0 binary64)) (fma.f64 (.f64 x x) t #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/104976 binary64) #s(literal 0 binary64)) (fma.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64)) #s(literal 0 binary64))))
(/.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) t #s(literal 0 binary64)) (fma.f64 (.f64 x x) t #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/104976 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y z))) (.f64 (fma.f64 x (.f64 (.f64 x t) #s(literal 1/324 binary64)) #s(literal 0 binary64)) (fma.f64 (sqrt.f64 t) (.f64 x #s(literal 1/18 binary64)) #s(literal 0 binary64))))
(/.f64 (neg.f64 (/.f64 (fma.f64 x (.f64 (.f64 x t) #s(literal 1/324 binary64)) #s(literal 0 binary64)) (.f64 z (neg.f64 y)))) (neg.f64 (fma.f64 (.f64 x (sqrt.f64 t)) #s(literal -1/18 binary64) #s(literal 0 binary64))))
(/.f64 (neg.f64 (fma.f64 x (.f64 (.f64 x t) #s(literal 1/324 binary64)) #s(literal 0 binary64))) (neg.f64 (.f64 (fma.f64 (sqrt.f64 t) (.f64 x #s(literal 1/18 binary64)) #s(literal 0 binary64)) (*.f64 y z))))
(/.f64 (neg.f64 (fma.f64 x (.f64 (.f64 x t) #s(literal 1/324 binary64)) #s(literal 0 binary64))) (neg.f64 (.f64 (.f64 y z) (fma.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64)) #s(literal 0 binary64)))))
(/.f64 (.f64 (fma.f64 x (.f64 (.f64 x t) #s(literal 1/324 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 18 binary64) (.f64 x (sqrt.f64 t)))) (*.f64 y z))
(/.f64 (.f64 (/.f64 (fma.f64 x (.f64 (.f64 x t) #s(literal 1/324 binary64)) #s(literal 0 binary64)) (.f64 y z)) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64)) #s(literal 0 binary64)))
(/.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) t #s(literal 0 binary64)) (fma.f64 (fma.f64 (.f64 x x) t #s(literal 0 binary64)) (fma.f64 (.f64 x x) t #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/34012224 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (sqrt.f64 t) (.f64 x #s(literal 1/18 binary64)) #s(literal 0 binary64)) (.f64 y z)))) (fma.f64 (fma.f64 (fma.f64 (.f64 x x) t #s(literal 0 binary64)) (fma.f64 (*.f64 x x) t #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/104976 binary64) #s(literal 0 binary64)))
(/.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) t #s(literal 0 binary64)) (fma.f64 (.f64 x x) t #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/104976 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (sqrt.f64 t) (.f64 x #s(literal 1/18 binary64)) #s(literal 0 binary64)) (.f64 y z)))) (fma.f64 x (.f64 (.f64 x t) #s(literal 1/324 binary64)) #s(literal 0 binary64)))
(/.f64 (/.f64 (/.f64 (fma.f64 x (.f64 (.f64 x t) #s(literal 1/324 binary64)) #s(literal 0 binary64)) (.f64 y z)) (sqrt.f64 t)) (.f64 x #s(literal 1/18 binary64)))
(/.f64 (/.f64 (/.f64 (fma.f64 x (.f64 (.f64 x t) #s(literal 1/324 binary64)) #s(literal 0 binary64)) (.f64 y z)) #s(literal 1/18 binary64)) (.f64 x (sqrt.f64 t)))
(/.f64 (/.f64 (/.f64 (fma.f64 x (.f64 (.f64 x t) #s(literal 1/324 binary64)) #s(literal 0 binary64)) (.f64 y z)) (.f64 x #s(literal 1/18 binary64))) (sqrt.f64 t))
(/.f64 (/.f64 (/.f64 (fma.f64 x (.f64 (.f64 x t) #s(literal 1/324 binary64)) #s(literal 0 binary64)) (.f64 y z)) (.f64 x (sqrt.f64 t))) #s(literal 1/18 binary64))
(/.f64 (/.f64 (/.f64 (fma.f64 x (.f64 (.f64 x t) #s(literal 1/324 binary64)) #s(literal 0 binary64)) (.f64 y z)) (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) x)
(/.f64 (neg.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) t #s(literal 0 binary64)) (fma.f64 (fma.f64 (.f64 x x) t #s(literal 0 binary64)) (fma.f64 (.f64 x x) t #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/34012224 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y z)))) (neg.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) t #s(literal 0 binary64)) (fma.f64 (.f64 x x) t #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/104976 binary64) #s(literal 0 binary64)) (fma.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64)) #s(literal 0 binary64)))))
(/.f64 (neg.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) t #s(literal 0 binary64)) (fma.f64 (.f64 x x) t #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/104976 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y z)))) (neg.f64 (.f64 (fma.f64 x (.f64 (.f64 x t) #s(literal 1/324 binary64)) #s(literal 0 binary64)) (fma.f64 (sqrt.f64 t) (.f64 x #s(literal 1/18 binary64)) #s(literal 0 binary64)))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (fma.f64 x (.f64 (.f64 x t) #s(literal 1/324 binary64)) #s(literal 0 binary64)) (.f64 z (neg.f64 y))))) (neg.f64 (neg.f64 (fma.f64 (.f64 x (sqrt.f64 t)) #s(literal -1/18 binary64) #s(literal 0 binary64)))))
(/.f64 (neg.f64 (.f64 (fma.f64 x (.f64 (.f64 x t) #s(literal 1/324 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 18 binary64) (.f64 x (sqrt.f64 t))))) (*.f64 z (neg.f64 y)))
(/.f64 (neg.f64 (.f64 (/.f64 (fma.f64 x (.f64 (.f64 x t) #s(literal 1/324 binary64)) #s(literal 0 binary64)) (.f64 y z)) #s(literal 1 binary64))) (fma.f64 (*.f64 x (sqrt.f64 t)) #s(literal -1/18 binary64) #s(literal 0 binary64)))
(/.f64 (neg.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) t #s(literal 0 binary64)) (fma.f64 (fma.f64 (.f64 x x) t #s(literal 0 binary64)) (fma.f64 (.f64 x x) t #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/34012224 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (sqrt.f64 t) (.f64 x #s(literal 1/18 binary64)) #s(literal 0 binary64)) (.f64 y z))))) (neg.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) t #s(literal 0 binary64)) (fma.f64 (*.f64 x x) t #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/104976 binary64) #s(literal 0 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) t #s(literal 0 binary64)) (fma.f64 (.f64 x x) t #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/104976 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (sqrt.f64 t) (.f64 x #s(literal 1/18 binary64)) #s(literal 0 binary64)) (.f64 y z))))) (neg.f64 (fma.f64 x (.f64 (.f64 x t) #s(literal 1/324 binary64)) #s(literal 0 binary64))))
(/.f64 (neg.f64 (/.f64 (/.f64 (fma.f64 x (.f64 (.f64 x t) #s(literal 1/324 binary64)) #s(literal 0 binary64)) (.f64 y z)) (sqrt.f64 t))) (neg.f64 (.f64 x #s(literal 1/18 binary64))))
(/.f64 (neg.f64 (/.f64 (/.f64 (fma.f64 x (.f64 (.f64 x t) #s(literal 1/324 binary64)) #s(literal 0 binary64)) (.f64 y z)) #s(literal 1/18 binary64))) (neg.f64 (.f64 x (sqrt.f64 t))))
(/.f64 (neg.f64 (/.f64 (/.f64 (fma.f64 x (.f64 (.f64 x t) #s(literal 1/324 binary64)) #s(literal 0 binary64)) (.f64 y z)) (.f64 x #s(literal 1/18 binary64)))) (neg.f64 (sqrt.f64 t)))
(/.f64 (neg.f64 (/.f64 (/.f64 (fma.f64 x (.f64 (.f64 x t) #s(literal 1/324 binary64)) #s(literal 0 binary64)) (.f64 y z)) (.f64 x (sqrt.f64 t)))) #s(literal -1/18 binary64))
(/.f64 (neg.f64 (/.f64 (/.f64 (fma.f64 x (.f64 (.f64 x t) #s(literal 1/324 binary64)) #s(literal 0 binary64)) (.f64 y z)) (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))) (neg.f64 x))
(pow.f64 (.f64 (/.f64 (fma.f64 (sqrt.f64 t) (.f64 x #s(literal 1/18 binary64)) #s(literal 0 binary64)) (fma.f64 x (.f64 (.f64 x t) #s(literal 1/324 binary64)) #s(literal 0 binary64))) (*.f64 y z)) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 (/.f64 (fma.f64 (sqrt.f64 t) (.f64 x #s(literal 1/18 binary64)) #s(literal 0 binary64)) (fma.f64 x (.f64 (.f64 x t) #s(literal 1/324 binary64)) #s(literal 0 binary64))) (*.f64 y z)) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 x x) t #s(literal 0 binary64)) (.f64 #s(literal 1/324 binary64) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (sqrt.f64 t) (.f64 x #s(literal 1/18 binary64)) #s(literal 0 binary64)) (.f64 y z)))))
(.f64 #s(literal 1/324 binary64) (.f64 (fma.f64 (.f64 x x) t #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (sqrt.f64 t) (.f64 x #s(literal 1/18 binary64)) #s(literal 0 binary64)) (.f64 y z)))))
(.f64 (fma.f64 x (.f64 (.f64 x t) #s(literal 1/324 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (sqrt.f64 t) (.f64 x #s(literal 1/18 binary64)) #s(literal 0 binary64)) (.f64 y z))))
(.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 (.f64 x t) #s(literal 1/324 binary64)) #s(literal 0 binary64)) (.f64 (.f64 y z) (fma.f64 (sqrt.f64 t) (.f64 x #s(literal 1/18 binary64)) #s(literal 0 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 y z)) (.f64 (fma.f64 x (.f64 (.f64 x t) #s(literal 1/324 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 18 binary64) (.f64 x (sqrt.f64 t)))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 y z)) (/.f64 (fma.f64 x (.f64 (.f64 x t) #s(literal 1/324 binary64)) #s(literal 0 binary64)) (fma.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64)) #s(literal 0 binary64))))
(.f64 (/.f64 (fma.f64 x (.f64 (.f64 x t) #s(literal 1/324 binary64)) #s(literal 0 binary64)) (.f64 y z)) (/.f64 #s(literal 18 binary64) (*.f64 x (sqrt.f64 t))))
(.f64 (/.f64 (fma.f64 x (.f64 (.f64 x t) #s(literal 1/324 binary64)) #s(literal 0 binary64)) (.f64 z (neg.f64 y))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (sqrt.f64 t)) #s(literal -1/18 binary64) #s(literal 0 binary64))))
(.f64 (/.f64 #s(literal 18 binary64) (.f64 x (sqrt.f64 t))) (/.f64 (fma.f64 x (.f64 (.f64 x t) #s(literal 1/324 binary64)) #s(literal 0 binary64)) (*.f64 y z)))
(.f64 (/.f64 #s(literal 18 binary64) (.f64 x (sqrt.f64 t))) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 (.f64 x t) #s(literal 1/324 binary64)) #s(literal 0 binary64)) (*.f64 y z))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (sqrt.f64 t) (.f64 x #s(literal 1/18 binary64)) #s(literal 0 binary64)) (.f64 y z))) (fma.f64 x (.f64 (.f64 x t) #s(literal 1/324 binary64)) #s(literal 0 binary64)))
(.f64 (/.f64 (fma.f64 x (.f64 (.f64 x t) #s(literal 1/324 binary64)) #s(literal 0 binary64)) (sqrt.f64 t)) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y z)) (*.f64 x #s(literal 1/18 binary64))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y z)) (.f64 x #s(literal 1/18 binary64))) (/.f64 (fma.f64 x (.f64 (*.f64 x t) #s(literal 1/324 binary64)) #s(literal 0 binary64)) (sqrt.f64 t)))
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(/.f64 (-.f64 (.f64 (neg.f64 (fma.f64 t (.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 x #s(literal 1/18 binary64))) #s(literal 0 binary64))) (fma.f64 (sqrt.f64 t) (.f64 x #s(literal 1/18 binary64)) #s(literal 0 binary64))) (.f64 (fma.f64 (.f64 x (sqrt.f64 t)) #s(literal -1/18 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) (.f64 (fma.f64 (.f64 x (sqrt.f64 t)) #s(literal -1/18 binary64) #s(literal 0 binary64)) (fma.f64 (sqrt.f64 t) (.f64 x #s(literal 1/18 binary64)) #s(literal 0 binary64))))
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(/.f64 (-.f64 (.f64 (-.f64 #s(literal 0 binary64) (fma.f64 t (.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 x #s(literal 1/18 binary64))) #s(literal 0 binary64))) (fma.f64 (sqrt.f64 t) (.f64 x #s(literal 1/18 binary64)) #s(literal 0 binary64))) (.f64 (fma.f64 (.f64 x (sqrt.f64 t)) #s(literal -1/18 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) (.f64 (fma.f64 (.f64 x (sqrt.f64 t)) #s(literal -1/18 binary64) #s(literal 0 binary64)) (fma.f64 (sqrt.f64 t) (.f64 x #s(literal 1/18 binary64)) #s(literal 0 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 t (.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 x #s(literal 1/18 binary64))) #s(literal 0 binary64)))) (neg.f64 (fma.f64 (.f64 x (sqrt.f64 t)) #s(literal -1/18 binary64) #s(literal 0 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 t (sqrt.f64 t)) #s(literal 1/5832 binary64)) #s(literal 0 binary64)))) (neg.f64 (neg.f64 (fma.f64 t (.f64 (.f64 x #s(literal 1/18 binary64)) (*.f64 x #s(literal 1/18 binary64))) #s(literal 0 binary64)))))
(/.f64 (neg.f64 (-.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 t (sqrt.f64 t)) #s(literal 1/5832 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (neg.f64 (fma.f64 t (.f64 (.f64 x #s(literal 1/18 binary64)) (*.f64 x #s(literal 1/18 binary64))) #s(literal 0 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 t (.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 x #s(literal 1/18 binary64))) #s(literal 0 binary64)))) (neg.f64 (fma.f64 (.f64 x (sqrt.f64 t)) #s(literal -1/18 binary64) #s(literal 0 binary64))))
(pow.f64 (fma.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 18 binary64) (*.f64 x (sqrt.f64 t))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (sqrt.f64 t) (.f64 x #s(literal 1/18 binary64)) #s(literal 0 binary64)) (fma.f64 t (.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 x #s(literal 1/18 binary64))) #s(literal 0 binary64))) #s(literal -1 binary64))
(.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))
(.f64 (sqrt.f64 t) (.f64 x #s(literal 1/18 binary64)))
(.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t)))
(.f64 (.f64 x #s(literal 1/18 binary64)) (sqrt.f64 t))
(.f64 (.f64 x (sqrt.f64 t)) #s(literal 1/18 binary64))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 t (sqrt.f64 t)) #s(literal 1/5832 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 t (.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 x #s(literal 1/18 binary64))) #s(literal 0 binary64))))
(.f64 (fma.f64 t (.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 x #s(literal 1/18 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 18 binary64) (*.f64 x (sqrt.f64 t))))
(.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) x)
(*.f64 x #s(literal 1/18 binary64))
(*.f64 #s(literal 1/18 binary64) x)
(+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64) #s(literal 0 binary64)))
(+.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(-.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(-.f64 (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64) #s(literal 0 binary64))))
(-.f64 (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) (fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/144 binary64) #s(literal 0 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64) #s(literal 0 binary64)))) (/.f64 (fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/144 binary64) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64) #s(literal 0 binary64)))))
(fma.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/12 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 (cbrt.f64 (PI.f64)) (.f64 (PI.f64) #s(literal 1/12 binary64))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (.f64 (PI.f64) #s(literal 1/12 binary64))) #s(literal 0 binary64))
(fma.f64 (fma.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/1728 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/144 binary64) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/144 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (PI.f64) #s(literal 0 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64) #s(literal 0 binary64)) (fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/144 binary64) #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64) #s(literal 0 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64) #s(literal 0 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64) #s(literal 0 binary64)) (fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/144 binary64) #s(literal 0 binary64)))))
(/.f64 (fma.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/1728 binary64)) #s(literal 0 binary64)) (fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/144 binary64) #s(literal 0 binary64)))
(/.f64 (fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/144 binary64) #s(literal 0 binary64)) (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64) #s(literal 0 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/1728 binary64)) #s(literal 0 binary64))) (neg.f64 (fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/144 binary64) #s(literal 0 binary64))))
(/.f64 (-.f64 (fma.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/1728 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/144 binary64) #s(literal 0 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/144 binary64) #s(literal 0 binary64))) (neg.f64 (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64) #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/144 binary64) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64) #s(literal 0 binary64))))
(/.f64 (-.f64 (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64) #s(literal 0 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64) #s(literal 0 binary64))) #s(literal 0 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64) #s(literal 0 binary64))) (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64) #s(literal 0 binary64))))
(/.f64 (-.f64 (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64) #s(literal 0 binary64)) (.f64 (/.f64 (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64) #s(literal 0 binary64)) (fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/144 binary64) #s(literal 0 binary64))) #s(literal 0 binary64))) (.f64 (/.f64 (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64) #s(literal 0 binary64)) (fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/144 binary64) #s(literal 0 binary64))) (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64) #s(literal 0 binary64))))
(/.f64 (-.f64 (.f64 (fma.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/1728 binary64)) #s(literal 0 binary64)) (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64) #s(literal 0 binary64))) (.f64 (fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/144 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/1728 binary64)) #s(literal 0 binary64)))
(/.f64 (-.f64 (.f64 (neg.f64 (fma.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/1728 binary64)) #s(literal 0 binary64))) (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64) #s(literal 0 binary64))) (.f64 (neg.f64 (fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/144 binary64) #s(literal 0 binary64))) #s(literal 0 binary64))) (.f64 (neg.f64 (fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/144 binary64) #s(literal 0 binary64))) (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64) #s(literal 0 binary64))))
(/.f64 (-.f64 (.f64 (-.f64 (fma.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/1728 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64) #s(literal 0 binary64))) (.f64 (fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/144 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/1728 binary64)) #s(literal 0 binary64)))
(/.f64 (-.f64 (.f64 (neg.f64 (fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/144 binary64) #s(literal 0 binary64))) (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64) #s(literal 0 binary64))) (.f64 (neg.f64 (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64) #s(literal 0 binary64))) #s(literal 0 binary64))) (.f64 (neg.f64 (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64) #s(literal 0 binary64))) (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64) #s(literal 0 binary64))))
(/.f64 (-.f64 (.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/144 binary64) #s(literal 0 binary64))) (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64) #s(literal 0 binary64))) (.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64) #s(literal 0 binary64))) #s(literal 0 binary64))) (.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64) #s(literal 0 binary64))) (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64) #s(literal 0 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/1728 binary64)) #s(literal 0 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/144 binary64) #s(literal 0 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/144 binary64) #s(literal 0 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64) #s(literal 0 binary64)))))
(/.f64 (neg.f64 (-.f64 (fma.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/1728 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (neg.f64 (fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/144 binary64) #s(literal 0 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/144 binary64) #s(literal 0 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64) #s(literal 0 binary64)))))
(pow.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64) #s(literal 0 binary64)) (fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/144 binary64) #s(literal 0 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64) #s(literal 0 binary64))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64) #s(literal 0 binary64)))
(.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/12 binary64)))
(.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64))
(.f64 #s(literal 1/12 binary64) (.f64 (PI.f64) (PI.f64)))
(.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 (cbrt.f64 (PI.f64)) (*.f64 (PI.f64) #s(literal 1/12 binary64))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (*.f64 (PI.f64) #s(literal 1/12 binary64))))
(.f64 (fma.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/1728 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/144 binary64) #s(literal 0 binary64))))
(.f64 (fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/144 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64) #s(literal 0 binary64))))
(.f64 (.f64 (PI.f64) #s(literal 1/12 binary64)) (PI.f64))

simplify403.0ms (1.2%)

Memory

-34.5MiB live, 653.5MiB allocated

Algorithm

1×	egg-herbie

Rules

4 160×	`-lowering-.f32`
4 160×	`-lowering-.f64`
3 528×	`/-lowering-/.f32`
3 528×	`/-lowering-/.f64`
1 876×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	13380
1	143	13236
2	407	13140
3	1387	13140
4	2814	13140
5	4493	13140
6	5806	13140
0	8148	12708

Stop Event

1×	iter limit
1×	node limit

Counts

780 → 780

Calls

Call 1

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

eval2.7s (8.5%)

Memory: 8.6MiB live, 1 397.2MiB allocated
Compiler: Compiled 185 370 to 7 488 computations (96% saved)

prune2.6s (8.2%)

Memory

4.1MiB live, 960.9MiB allocated

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	3 978	2	3 980
Fresh	0	0	0
Picked	4	0	4
Done	1	1	2
Total	3 983	3	3 986

Accuracy

100.0%

Counts

3 986 → 3

Alt Table

Click to see full alt table

Status

Accuracy

Program

98.8%

(pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (fma.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64)) #s(literal 0 binary64)) (*.f64 y z)))) #s(literal -1 binary64))

97.3%

(/.f64 (acos.f64 (/.f64 (fma.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64)) #s(literal 0 binary64)) (*.f64 y z))) #s(literal 3 binary64))

✓

98.5%

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

Compiler

Compiled 634 to 181 computations (71.5% saved)

regimes112.0ms (0.3%)

Memory

-0.9MiB live, 156.6MiB allocated

Counts

18 → 1

Calls

Call 1

Inputs
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 y z)) (sqrt.f64 t))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))))
(/.f64 (acos.f64 (/.f64 (fma.f64 (sqrt.f64 t) (.f64 x #s(literal 1/18 binary64)) #s(literal 0 binary64)) (.f64 y z))) #s(literal 3 binary64))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z))) (sqrt.f64 t))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) t #s(literal 0 binary64)) #s(literal 1/324 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y z))) (fma.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) x) #s(literal 0 binary64)))))
(pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (fma.f64 (sqrt.f64 t) (.f64 x #s(literal 1/18 binary64)) #s(literal 0 binary64)) (.f64 y z)))) #s(literal -1 binary64))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (pow.f64 (/.f64 (.f64 (.f64 y y) #s(literal 729 binary64)) (.f64 x x)) #s(literal -1/2 binary64))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (pow.f64 (.f64 (/.f64 (.f64 y #s(literal 27 binary64)) x) (/.f64 (.f64 y #s(literal 27 binary64)) x)) #s(literal -1/2 binary64))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(.f64 (/.f64 #s(literal 1/3 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))))) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) x) #s(literal 0 binary64)) (.f64 y z))) #s(literal 2 binary64)) #s(literal -1/3 binary64) (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64) #s(literal 0 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) x) #s(literal 0 binary64)) (*.f64 y z)))))
(/.f64 (-.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) x) #s(literal 0 binary64)) (.f64 y z))) #s(literal 2 binary64))) (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) x) #s(literal 0 binary64)) (*.f64 y z)))) #s(literal 3 binary64)))
(/.f64 (fma.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) x #s(literal 0 binary64)) #s(literal 0 binary64)) (.f64 y z))) #s(literal 2 binary64)) #s(literal -1/3 binary64) (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64) #s(literal 0 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) x #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 y z)))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))))) (.f64 #s(literal 1/3 binary64) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))) #s(literal 2 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) x) #s(literal 0 binary64)) (.f64 y z)))) #s(literal 3 binary64))) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 3 binary64) (sqrt.f64 t))) (.f64 z (.f64 #s(literal 54 binary64) y)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 3 binary64) (sqrt.f64 t))) (.f64 z (*.f64 #s(literal 54 binary64) y))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 3 binary64) (sqrt.f64 t))) (.f64 z (.f64 #s(literal 54 binary64) y)))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 3 binary64) (sqrt.f64 t))) (.f64 z (.f64 #s(literal 54 binary64) y)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 3 binary64) (sqrt.f64 t))) (.f64 z (.f64 #s(literal 54 binary64) y))))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
(.f64 (.f64 (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))) (/.f64 #s(literal 1/3 binary64) (fma.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z)))) (.f64 #s(literal -1/4 binary64) (.f64 (PI.f64) (PI.f64)))))) (fma.f64 (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z)))) (.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64)))))

Outputs
(pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (fma.f64 (sqrt.f64 t) (.f64 x #s(literal 1/18 binary64)) #s(literal 0 binary64)) (.f64 y z)))) #s(literal -1 binary64))

Calls

13 calls:

43.0ms	(/.f64 x (*.f64 y #s(literal 27 binary64)))
8.0ms	z
8.0ms	(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
7.0ms	x
5.0ms	(*.f64 z #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
98.8%	1	`x`
98.8%	1	`y`
98.8%	1	`z`
98.8%	1	`t`
98.8%	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))))`
98.8%	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)))`
98.8%	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))`
98.8%	1	`(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))`
98.8%	1	`(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))`
98.8%	1	`(/.f64 x (*.f64 y #s(literal 27 binary64)))`
98.8%	1	`(*.f64 y #s(literal 27 binary64))`
98.8%	1	`(*.f64 z #s(literal 2 binary64))`
98.8%	1	`(sqrt.f64 t)`

Compiler

Compiled 135 to 108 computations (20% saved)

regimes37.0ms (0.1%)

Memory

11.3MiB live, 93.0MiB allocated

Accuracy

Total -14.5b remaining (-1471.4%)

Threshold costs -14.5b (-1471.4%)

Counts

6 → 1

Calls

Call 1

Inputs
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 y z)) (sqrt.f64 t))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))))
(/.f64 (acos.f64 (/.f64 (fma.f64 (sqrt.f64 t) (.f64 x #s(literal 1/18 binary64)) #s(literal 0 binary64)) (.f64 y z))) #s(literal 3 binary64))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z))) (sqrt.f64 t))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) t #s(literal 0 binary64)) #s(literal 1/324 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y z))) (fma.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) x) #s(literal 0 binary64)))))

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

Calls

13 calls:

6.0ms	z
4.0ms	(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))
3.0ms	(sqrt.f64 t)
2.0ms	(*.f64 z #s(literal 2 binary64))
2.0ms	y

Results

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

Compiler

Compiled 135 to 108 computations (20% saved)

simplify8.0ms (0%)

Memory

14.9MiB live, 14.9MiB allocated

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	29
1	26	29

Stop Event

1×

saturated

Calls

Call 1

Inputs

(pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (fma.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64)) #s(literal 0 binary64)) (*.f64 y z)))) #s(literal -1 binary64))

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

Outputs

(pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (fma.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64)) #s(literal 0 binary64)) (*.f64 y z)))) #s(literal -1 binary64))

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

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

soundness611.0ms (1.9%)

Memory

-9.8MiB live, 496.5MiB allocated

Rules

5 774×	`accelerator-lowering-fma.f32`
5 774×	`accelerator-lowering-fma.f64`
5 344×	`accelerator-lowering-fma.f32`
5 344×	`accelerator-lowering-fma.f64`
4 940×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	298
1	286	276
2	2126	268
0	8290	268
0	69	582
1	366	574
2	2823	360
0	8422	353
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	56	312
1	304	262
2	2683	262
0	8221	257

Stop Event

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

Compiler

Compiled 94 to 70 computations (25.5% saved)

preprocess42.0ms (0.1%)

Memory: 25.1MiB live, 101.2MiB allocated
Remove: (sort y z)
Compiler: Compiled 234 to 174 computations (25.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze352.0ms (1.1%)

sample5.4s (16.7%)

preprocess159.0ms (0.5%)

explain210.0ms (0.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify106.0ms (0.3%)

localize65.0ms (0.2%)

series30.0ms (0.1%)

rewrite328.0ms (1%)

simplify185.0ms (0.6%)

eval135.0ms (0.4%)

prune121.0ms (0.4%)

simplify419.0ms (1.3%)

localize356.0ms (1.1%)

series101.0ms (0.3%)

rewrite820.0ms (2.5%)

simplify523.0ms (1.6%)

eval696.0ms (2.2%)

prune473.0ms (1.5%)

simplify654.0ms (2%)

localize682.0ms (2.1%)

series100.0ms (0.3%)

rewrite617.0ms (1.9%)

simplify460.0ms (1.4%)

eval786.0ms (2.4%)

prune592.0ms (1.8%)

simplify9.9s (30.7%)

localize484.0ms (1.5%)

series72.0ms (0.2%)

rewrite855.0ms (2.6%)

simplify403.0ms (1.2%)

eval2.7s (8.5%)

prune2.6s (8.2%)

regimes112.0ms (0.3%)

regimes37.0ms (0.1%)

simplify8.0ms (0%)

soundness611.0ms (1.9%)

preprocess42.0ms (0.1%)

end0.0ms (0%)

Profiling