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

analyze338.0ms (0.9%)

Memory

-23.1MiB live, 571.0MiB 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)

sample5.9s (15.9%)

Memory

-102.4MiB live, 5 862.0MiB allocated

Samples

2.1s	15 579×	0	invalid
1.1s	8 256×	0	valid

Precisions

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

ival-div: 1.1s (47% of total)

ival-mult: 779.0ms (32.9% of total)

ival-acos: 215.0ms (9.1% of total)

ival-sqrt: 197.0ms (8.3% of total)

exact: 38.0ms (1.6% of total)

ival-true: 17.0ms (0.7% of total)

ival-assert: 8.0ms (0.3% of total)

Bogosity

preprocess147.0ms (0.4%)

Memory

21.0MiB live, 137.0MiB 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)

explain234.0ms (0.6%)

Memory

5.0MiB live, 315.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
21	1	(4053136162.0889053 -1.3274581228218284e+296 -8.819398742527433e+119 4.1626330178093714e+169)	4	(-6.479596393305162e+88 -1.8529351867127804e+257 4.1400384955838725e+147 1.514044792887074e+301)	`(.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t))`
21	0	-	5	(-1.5905743171658516e-61 -2.389591013918053e+252 9.851127110005843e-271 7.334610226142169e-137)	`(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))`
0	0	-	0	-	`t`
0	0	-	0	-	`#s(literal 3 binary64)`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))`
0	0	-	0	-	`(*.f64 y #s(literal 27 binary64))`
0	0	-	0	-	`y`
0	0	-	0	-	`(/.f64 x (*.f64 y #s(literal 27 binary64)))`
0	0	-	0	-	`#s(literal 27 binary64)`
0	0	-	0	-	`z`
0	0	-	0	-	`(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))`
0	0	-	0	-	`(acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))`
0	0	-	0	-	`#s(literal 2 binary64)`
0	0	-	0	-	`(*.f64 z #s(literal 2 binary64))`
0	0	-	0	-	`(sqrt.f64 t)`
0	0	-	0	-	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))`
0	0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`*.f64`	`(.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t))`	*nu**	18	0
`/.f64`	`(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))`	u/n	15	0
↳	`(/.f64 x (*.f64 y #s(literal 27 binary64)))`	underflow	51
↳	`(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))`	underflow	51
`/.f64`	`(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))`	o/n	1	0
↳	`(*.f64 y #s(literal 27 binary64))`	overflow	2
↳	`(/.f64 x (*.f64 y #s(literal 27 binary64)))`	overflow	1
↳	`(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))`	overflow	1

Confusion

	Predicted +	Predicted -
+	1	0
-	33	222

Precision

0.029411764705882353

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	33	0	222

Precision?

0.029411764705882353

Recall?

1.0

Freqs

test

number	freq
0	222
1	34

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

61.0ms

512×

valid

Compiler

Compiled 230 to 76 computations (67% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-div: 14.0ms (36.5% of total)

ival-mult: 13.0ms (33.9% of total)

ival-sqrt: 5.0ms (13% of total)

ival-acos: 4.0ms (10.4% of total)

exact: 1.0ms (2.6% of total)

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Alt Table

Click to see full alt table

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

Status

Accuracy

Program

▶

98.1%

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

Compiler

Compiled 23 to 18 computations (21.7% saved)

simplify88.0ms (0.2%)

Memory

1.4MiB live, 85.9MiB 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

localize113.0ms (0.3%)

Memory

-5.3MiB live, 70.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))
✓	accuracy	98.5%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
✓	accuracy	94.2%	(.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
✓	accuracy	93.4%	(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))

Samples

95.0ms

256×

valid

Compiler

Compiled 92 to 20 computations (78.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 83.0ms

ival-mult: 73.0ms (87.9% of total)

ival-div: 5.0ms (6% of total)

ival-sqrt: 2.0ms (2.4% of total)

ival-acos: 2.0ms (2.4% of total)

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

exact: 0.0ms (0% of total)

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

series32.0ms (0.1%)

Memory

-5.0MiB live, 41.9MiB allocated

Counts

5 → 156

Calls

Call 1

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

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

Calls

39 calls:

Time	Variable		Point	Expression
11.0ms	z	@	0	(/ (* 3 (/ x (* y 27))) (* z 2))
2.0ms	x	@	inf	(* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))))
1.0ms	t	@	-inf	(* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))
1.0ms	x	@	0	(/ (* 3 (/ x (* y 27))) (* z 2))
1.0ms	t	@	0	(* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))

rewrite4.5s (12.1%)

Memory

2.0MiB live, 467.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	50
1	59	42
2	377	36
3	3741	36
0	8207	36

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 518

Calls

Call 1

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

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

simplify5.6s (15%)

Memory

7.3MiB live, 331.0MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

Calls

Call 1

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

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

eval93.0ms (0.3%)

Memory: 0.5MiB live, 190.3MiB allocated
Compiler: Compiled 12 388 to 2 566 computations (79.3% saved)

prune80.0ms (0.2%)

Memory

13.6MiB live, 252.1MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	670	4	674
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	671	4	675

Accuracy

98.5%

Counts

675 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.3%	(fma.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1/3 binary64) (.f64 (neg.f64 (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 3 binary64) (sqrt.f64 t))) (.f64 z (.f64 #s(literal 54 binary64) y))))) #s(literal 1/3 binary64)))
▶	98.3%	(.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))))
▶	98.1%	(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))

Compiler

Compiled 82 to 65 computations (20.7% saved)

simplify145.0ms (0.4%)

Memory

-31.6MiB live, 114.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize200.0ms (0.5%)

Memory

14.8MiB live, 391.7MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.5%	(*.f64 #s(literal 3 binary64) (sqrt.f64 t))
✓	accuracy	99.3%	(.f64 z (.f64 #s(literal 54 binary64) y))
✓	accuracy	98.5%	(fma.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1/3 binary64) (.f64 (neg.f64 (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 3 binary64) (sqrt.f64 t))) (.f64 z (.f64 #s(literal 54 binary64) y))))) #s(literal 1/3 binary64)))
✓	accuracy	88.9%	(/.f64 (.f64 x (.f64 #s(literal 3 binary64) (sqrt.f64 t))) (.f64 z (.f64 #s(literal 54 binary64) y)))
✓	accuracy	99.5%	(.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))
✓	accuracy	98.5%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z))) (sqrt.f64 t))))
✓	accuracy	94.2%	(.f64 (.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) (sqrt.f64 t))
✓	accuracy	92.7%	(/.f64 x (*.f64 y z))
✓	accuracy	99.6%	(*.f64 x (sqrt.f64 t))
✓	accuracy	99.5%	(.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t)))
✓	accuracy	98.5%	(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))))
✓	accuracy	88.8%	(/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z))
✓	accuracy	99.6%	(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))
✓	accuracy	98.5%	(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
✓	accuracy	94.2%	(.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
✓	accuracy	93.4%	(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))

Samples

114.0ms

256×

valid

Compiler

Compiled 313 to 47 computations (85% saved)

Precisions

Click to see histograms. Total time spent on operations: 79.0ms

ival-mult: 40.0ms (50.3% of total)

ival-div: 11.0ms (13.8% of total)

ival-acos: 10.0ms (12.6% of total)

const: 7.0ms (8.8% of total)

ival-sqrt: 4.0ms (5% of total)

ival-asin: 2.0ms (2.5% of total)

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

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

exact: 1.0ms (1.3% of total)

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

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

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

series42.0ms (0.1%)

Memory

-7.0MiB live, 69.9MiB allocated

Counts

22 → 792

Calls

Call 1

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

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

Calls

198 calls:

Time	Variable		Point	Expression
6.0ms	x	@	-inf	(* 1/3 (acos (/ (* 1/18 (* x (sqrt t))) (* y z))))
2.0ms	t	@	0	(* 1/18 (* x (sqrt t)))
1.0ms	x	@	0	(+ (* (* (PI) 1/2) 1/3) (* (neg (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y))))) 1/3))
1.0ms	x	@	inf	(* 1/18 (* x (sqrt t)))
1.0ms	t	@	-inf	(* 1/18 (* x (sqrt t)))

rewrite914.0ms (2.5%)

Memory

0.8MiB live, 842.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	45	226
1	182	203
2	1240	185
0	9162	185

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 2 668

Calls

Call 1

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

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

simplify435.0ms (1.2%)

Memory

15.4MiB live, 534.1MiB allocated

Algorithm

1×	egg-herbie

Rules

3 896×	`/-lowering-/.f32`
3 896×	`/-lowering-/.f64`
3 868×	`-lowering-.f32`
3 868×	`-lowering-.f64`
2 724×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	8188
1	105	8060
2	292	8028
3	1024	8028
4	2314	8028
5	4718	8028
6	6021	8028
0	8010	7980

Stop Event

1×	iter limit
1×	node limit

Counts

792 → 792

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

eval3.4s (9.2%)

Memory: 17.7MiB live, 1 038.0MiB allocated
Compiler: Compiled 71 810 to 6 147 computations (91.4% saved)

prune671.0ms (1.8%)

Memory

-70.3MiB live, 898.0MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	3 455	5	3 460
Fresh	0	0	0
Picked	4	0	4
Done	0	0	0
Total	3 459	5	3 464

Accuracy

100.0%

Counts

3 464 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.8%	(fma.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1/3 binary64) (fma.f64 (sqrt.f64 (PI.f64)) (neg.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/6 binary64))) (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))))))
▶	97.3%	(fma.f64 (PI.f64) #s(literal 1/6 binary64) (.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))) #s(literal -1/3 binary64)))
▶	97.3%	(.f64 #s(literal 1/3 binary64) (+.f64 (neg.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))))))
▶	97.5%	(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 x (.f64 (*.f64 (/.f64 y (sqrt.f64 t)) #s(literal 18 binary64)) z))))
▶	98.3%	(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 y z)) (sqrt.f64 t))))

Compiler

Compiled 218 to 166 computations (23.9% saved)

simplify1.4s (3.7%)

Memory

20.1MiB live, 1 886.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 (PI.f64) #s(literal 1/2 binary64))
✓	cost-diff	0	(.f64 #s(literal 1/3 binary64) (+.f64 (neg.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))))))
✓	cost-diff	128	(neg.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))
✓	cost-diff	896	(+.f64 (neg.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z)))))
✓	cost-diff	0	(asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))
✓	cost-diff	0	(.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))) #s(literal -1/3 binary64))
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(fma.f64 (PI.f64) #s(literal 1/6 binary64) (.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))) #s(literal -1/3 binary64)))
✓	cost-diff	0	(.f64 (.f64 (/.f64 y (sqrt.f64 t)) #s(literal 18 binary64)) z)
✓	cost-diff	0	(acos.f64 (/.f64 x (.f64 (.f64 (/.f64 y (sqrt.f64 t)) #s(literal 18 binary64)) z)))
✓	cost-diff	0	(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 x (.f64 (*.f64 (/.f64 y (sqrt.f64 t)) #s(literal 18 binary64)) z))))
✓	cost-diff	384	(/.f64 x (.f64 (.f64 (/.f64 y (sqrt.f64 t)) #s(literal 18 binary64)) z))
✓	cost-diff	0	(/.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 y z))
✓	cost-diff	0	(.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) (sqrt.f64 t))
✓	cost-diff	0	(acos.f64 (.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) (sqrt.f64 t)))
✓	cost-diff	0	(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 y z)) (sqrt.f64 t))))
✓	cost-diff	0	(*.f64 (PI.f64) #s(literal 1/2 binary64))
✓	cost-diff	128	(neg.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/6 binary64)))
✓	cost-diff	1088	(fma.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1/3 binary64) (fma.f64 (sqrt.f64 (PI.f64)) (neg.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/6 binary64))) (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))))))
✓	cost-diff	1600	(fma.f64 (sqrt.f64 (PI.f64)) (neg.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/6 binary64))) (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))))

Rules

68 096×	`accelerator-lowering-fma.f32`
68 096×	`accelerator-lowering-fma.f64`
4 652×	`-lowering-.f32`
4 652×	`-lowering-.f64`
2 484×	`distribute-lft-out`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	431
1	120	431
2	294	387
3	587	379
4	830	379
5	1580	379
6	4428	379
7	5585	379
8	6286	379
9	6618	379
10	6920	379
11	6942	379
12	6942	379
13	7160	379
14	7233	379
15	7233	379
0	8745	376

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize3.2s (8.8%)

Memory

-32.1MiB live, 721.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))
✓	accuracy	99.4%	(*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))
✓	accuracy	98.5%	(.f64 #s(literal 1/3 binary64) (+.f64 (neg.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))))))
✓	accuracy	88.8%	(/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))
✓	accuracy	99.6%	(.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))) #s(literal -1/3 binary64))
✓	accuracy	99.4%	(*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))
✓	accuracy	98.5%	(fma.f64 (PI.f64) #s(literal 1/6 binary64) (.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))) #s(literal -1/3 binary64)))
✓	accuracy	88.8%	(/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))
✓	accuracy	99.7%	(*.f64 (/.f64 y (sqrt.f64 t)) #s(literal 18 binary64))
✓	accuracy	98.5%	(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 x (.f64 (*.f64 (/.f64 y (sqrt.f64 t)) #s(literal 18 binary64)) z))))
✓	accuracy	95.0%	(.f64 (.f64 (/.f64 y (sqrt.f64 t)) #s(literal 18 binary64)) z)
✓	accuracy	90.2%	(/.f64 x (.f64 (.f64 (/.f64 y (sqrt.f64 t)) #s(literal 18 binary64)) z))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/18 binary64))
✓	accuracy	98.5%	(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 y z)) (sqrt.f64 t))))
✓	accuracy	94.2%	(.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) (sqrt.f64 t))
✓	accuracy	92.6%	(/.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 y z))
✓	accuracy	98.5%	(fma.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1/3 binary64) (fma.f64 (sqrt.f64 (PI.f64)) (neg.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/6 binary64))) (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))))))
✓	accuracy	98.4%	(sqrt.f64 (PI.f64))
✓	accuracy	88.8%	(/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))
✓	accuracy	6.6%	(fma.f64 (sqrt.f64 (PI.f64)) (neg.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/6 binary64))) (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))))

Samples

200.0ms	128×	2	valid
125.0ms	111×	1	valid
29.0ms	9×	0	valid
12.0ms	8×	3	valid

Compiler

Compiled 414 to 47 computations (88.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 276.0ms

ival-mult: 58.0ms (21% of total)

ival-sqrt: 48.0ms (17.4% of total)

ival-div: 45.0ms (16.3% of total)

ival-acos: 44.0ms (16% of total)

const: 31.0ms (11.2% of total)

adjust: 23.0ms (8.3% of total)

ival-add: 13.0ms (4.7% of total)

ival-pi: 5.0ms (1.8% of total)

ival-neg: 5.0ms (1.8% of total)

ival-asin: 4.0ms (1.5% of total)

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

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

exact: 0.0ms (0% of total)

series1.0s (2.7%)

Memory

34.5MiB live, 72.9MiB allocated

Counts

25 → 816

Calls

Call 1

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

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

Calls

204 calls:

Time	Variable		Point	Expression
979.0ms	y	@	0	(* (/ y (sqrt t)) 18)
6.0ms	t	@	inf	(+ (neg (* (PI) 1/2)) (+ (* (PI) 1/2) (acos (/ (* x (* (sqrt t) 1/18)) (* y z)))))
1.0ms	y	@	0	(* (* (/ y (sqrt t)) 18) z)
1.0ms	t	@	-inf	(* (* (/ y (sqrt t)) 18) z)
1.0ms	t	@	-inf	(* (/ y (sqrt t)) 18)

rewrite499.0ms (1.3%)

Memory

-23.8MiB live, 862.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

9 832×	`accelerator-lowering-fma.f32`
9 832×	`accelerator-lowering-fma.f64`
4 634×	`-lowering-.f32`
4 634×	`-lowering-.f64`
4 202×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	256
1	236	232
2	1850	232
0	8469	227

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 1 029

Calls

Call 1

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

Outputs
(+.f64 (.f64 (PI.f64) #s(literal -1/6 binary64)) (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))))
(+.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z)))) (*.f64 (PI.f64) #s(literal -1/6 binary64)))
(-.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z)))) (*.f64 (PI.f64) #s(literal 1/6 binary64)))
(-.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/36 binary64)) (fma.f64 (PI.f64) #s(literal -1/6 binary64) (.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z)))))) (/.f64 (pow.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z)))) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal -1/6 binary64) (.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z)))))))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z)))) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z)))) (.f64 (PI.f64) #s(literal -1/6 binary64)))) (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/36 binary64)) (-.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z)))) (.f64 (PI.f64) #s(literal -1/6 binary64)))))
(fma.f64 (PI.f64) #s(literal -1/6 binary64) (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z)))))
(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal -1/6 binary64)) (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))))
(fma.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal -1/6 binary64)) (sqrt.f64 (PI.f64)) (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))) (.f64 (PI.f64) #s(literal -1/6 binary64)))
(fma.f64 #s(literal 1/3 binary64) (.f64 (PI.f64) #s(literal -1/2 binary64)) (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))))
(fma.f64 (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))) #s(literal 1/3 binary64) (.f64 (PI.f64) #s(literal -1/6 binary64)))
(fma.f64 #s(literal -1/3 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))))
(fma.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal 1/3 binary64) (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))))
(fma.f64 #s(literal -1 binary64) (.f64 (PI.f64) #s(literal 1/6 binary64)) (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))))
(fma.f64 (neg.f64 (sqrt.f64 (PI.f64))) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/6 binary64)) (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))))
(fma.f64 (neg.f64 (PI.f64)) #s(literal 1/6 binary64) (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z)))))
(fma.f64 (.f64 #s(literal 1/3 binary64) (PI.f64)) #s(literal -1/2 binary64) (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))))
(fma.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal -1 binary64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/6 binary64)) (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z)))))
(fma.f64 (.f64 #s(literal 1/3 binary64) (neg.f64 (PI.f64))) #s(literal 1/2 binary64) (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))) (.f64 (PI.f64) #s(literal -1/6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))) (.f64 (PI.f64) #s(literal -1/6 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))) #s(literal 2 binary64)) #s(literal 1/9 binary64) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/36 binary64)) (.f64 (.f64 (.f64 (PI.f64) #s(literal -1/6 binary64)) #s(literal 1/3 binary64)) (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z)))))) (fma.f64 (pow.f64 (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))) #s(literal 3 binary64)) #s(literal 1/27 binary64) (.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/216 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z)))) (.f64 (PI.f64) #s(literal -1/6 binary64))) (-.f64 (pow.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z)))) #s(literal 2 binary64)) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/36 binary64)))))
(/.f64 (fma.f64 (pow.f64 (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))) #s(literal 3 binary64)) #s(literal 1/27 binary64) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/216 binary64))) (fma.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z)))) (-.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z)))) (.f64 (PI.f64) #s(literal -1/6 binary64))) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/36 binary64))))
(/.f64 (fma.f64 (pow.f64 (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))) #s(literal 3 binary64)) #s(literal 1/27 binary64) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/216 binary64))) (fma.f64 (pow.f64 (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))) #s(literal 2 binary64)) #s(literal 1/9 binary64) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/36 binary64)) (.f64 (.f64 (.f64 (PI.f64) #s(literal -1/6 binary64)) #s(literal 1/3 binary64)) (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))))))
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(.f64 (pow.f64 (/.f64 z x) #s(literal -1 binary64)) (pow.f64 (/.f64 y (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 y (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 z x) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 y (.f64 x (sqrt.f64 t))) #s(literal -1 binary64)) (/.f64 #s(literal 1/18 binary64) z))
(.f64 (pow.f64 (/.f64 z (.f64 x (sqrt.f64 t))) #s(literal -1 binary64)) (pow.f64 (/.f64 y #s(literal 1/18 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 (sqrt.f64 t) (neg.f64 y)) (/.f64 (.f64 x #s(literal -1/18 binary64)) z))
(.f64 (/.f64 x (neg.f64 y)) (/.f64 (neg.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) z))
(.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (neg.f64 y)))
(.f64 (/.f64 x (neg.f64 z)) (/.f64 (neg.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) y))
(.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) y) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (/.f64 z (.f64 x #s(literal 1/18 binary64)))))
(.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) z) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (/.f64 y (.f64 x #s(literal 1/18 binary64)))))
(.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (.f64 y z)) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/18 binary64)))))
(*.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (/.f64 y x)) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (/.f64 z #s(literal 1/18 binary64))))
(*.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (/.f64 z #s(literal 1/18 binary64))) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (/.f64 y x)))
(*.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (/.f64 y #s(literal 1/18 binary64))) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (/.f64 z x)))
(*.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (/.f64 z x)) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (/.f64 y #s(literal 1/18 binary64))))
(.f64 (/.f64 (neg.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) z) (/.f64 x (neg.f64 y)))
(.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))
(.f64 (/.f64 (neg.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) y) (/.f64 x (neg.f64 z)))
(.f64 (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (neg.f64 y)) (/.f64 (neg.f64 x) z))
(.f64 (/.f64 (neg.f64 x) z) (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (neg.f64 y)))
(.f64 (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 x) (*.f64 y z)))
(.f64 (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (neg.f64 z)) (/.f64 (neg.f64 x) y))
(.f64 (/.f64 (neg.f64 x) y) (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (neg.f64 z)))
(.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (*.f64 y z)))
(.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (neg.f64 z)))
(.f64 (/.f64 (.f64 x (sqrt.f64 t)) (neg.f64 y)) (/.f64 #s(literal -1/18 binary64) z))
(.f64 (/.f64 (.f64 x (sqrt.f64 t)) #s(literal -1 binary64)) (/.f64 #s(literal -1/18 binary64) (*.f64 y z)))
(.f64 (/.f64 (.f64 x (sqrt.f64 t)) (neg.f64 z)) (/.f64 #s(literal -1/18 binary64) y))
(.f64 (/.f64 (neg.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) #s(literal -1 binary64)) (/.f64 x (*.f64 y z)))
(.f64 (/.f64 (neg.f64 (.f64 x (sqrt.f64 t))) y) (/.f64 #s(literal 1/18 binary64) (neg.f64 z)))
(.f64 (/.f64 (neg.f64 (.f64 x (sqrt.f64 t))) z) (/.f64 #s(literal 1/18 binary64) (neg.f64 y)))
(.f64 (/.f64 (neg.f64 (.f64 x (sqrt.f64 t))) #s(literal -1 binary64)) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))
(*.f64 (/.f64 (sqrt.f64 t) (/.f64 y x)) (/.f64 #s(literal 1/18 binary64) z))
(*.f64 (/.f64 (sqrt.f64 t) (/.f64 z #s(literal 1/18 binary64))) (/.f64 x y))
(*.f64 (/.f64 (sqrt.f64 t) (/.f64 y #s(literal 1/18 binary64))) (/.f64 x z))
(*.f64 (/.f64 (sqrt.f64 t) (/.f64 z x)) (/.f64 #s(literal 1/18 binary64) y))
(.f64 (/.f64 (.f64 x #s(literal -1/18 binary64)) z) (/.f64 (sqrt.f64 t) (neg.f64 y)))
(.f64 (/.f64 (sqrt.f64 t) #s(literal -1 binary64)) (/.f64 (.f64 x #s(literal -1/18 binary64)) (*.f64 y z)))
(.f64 (/.f64 (sqrt.f64 t) (neg.f64 z)) (/.f64 (.f64 x #s(literal -1/18 binary64)) y))
(.f64 (/.f64 (.f64 x #s(literal -1/18 binary64)) y) (/.f64 (sqrt.f64 t) (neg.f64 z)))
(.f64 (/.f64 (.f64 x #s(literal -1/18 binary64)) #s(literal -1 binary64)) (/.f64 (sqrt.f64 t) (*.f64 y z)))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) #s(literal 1 binary64)))
(fabs.f64 (sqrt.f64 (PI.f64)))
(fabs.f64 (neg.f64 (sqrt.f64 (PI.f64))))
(sqrt.f64 (PI.f64))
(pow.f64 (PI.f64) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3/2 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
(pow.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 2 binary64))
(*.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (fabs.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)))
(*.f64 x #s(literal 1/18 binary64))
(*.f64 #s(literal 1/18 binary64) x)
(/.f64 #s(literal 18 binary64) (/.f64 (sqrt.f64 t) y))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 t) (*.f64 y #s(literal 18 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) #s(literal 18 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 t) (*.f64 y #s(literal 18 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 t)) (*.f64 #s(literal 18 binary64) (neg.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 t)) (*.f64 (neg.f64 y) #s(literal 18 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 t) (*.f64 y #s(literal 18 binary64)))))
(/.f64 (*.f64 y #s(literal 18 binary64)) (sqrt.f64 t))
(/.f64 (neg.f64 (*.f64 y #s(literal 18 binary64))) (neg.f64 (sqrt.f64 t)))
(/.f64 (*.f64 #s(literal 18 binary64) (neg.f64 y)) (neg.f64 (sqrt.f64 t)))
(/.f64 (*.f64 (neg.f64 y) #s(literal 18 binary64)) (neg.f64 (sqrt.f64 t)))
(/.f64 #s(literal -18 binary64) (neg.f64 (/.f64 (sqrt.f64 t) y)))
(/.f64 (neg.f64 (neg.f64 (*.f64 y #s(literal 18 binary64)))) (neg.f64 (neg.f64 (sqrt.f64 t))))
(/.f64 (neg.f64 (*.f64 #s(literal 18 binary64) (neg.f64 y))) (neg.f64 (neg.f64 (sqrt.f64 t))))
(/.f64 (neg.f64 (*.f64 (neg.f64 y) #s(literal 18 binary64))) (neg.f64 (neg.f64 (sqrt.f64 t))))
(pow.f64 (/.f64 (sqrt.f64 t) (*.f64 y #s(literal 18 binary64))) #s(literal -1 binary64))
(.f64 y (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 t)) #s(literal 18 binary64)))
(*.f64 y (/.f64 #s(literal 18 binary64) (sqrt.f64 t)))
(*.f64 (/.f64 y (sqrt.f64 t)) #s(literal 18 binary64))
(*.f64 #s(literal 18 binary64) (/.f64 y (sqrt.f64 t)))
(.f64 (.f64 y #s(literal 18 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 t)))
(*.f64 #s(literal -18 binary64) (/.f64 (neg.f64 y) (sqrt.f64 t)))
(*.f64 (/.f64 y (pow.f64 t #s(literal 1/4 binary64))) (/.f64 #s(literal 18 binary64) (pow.f64 t #s(literal 1/4 binary64))))
(*.f64 (/.f64 #s(literal 18 binary64) (pow.f64 t #s(literal 1/4 binary64))) (/.f64 y (pow.f64 t #s(literal 1/4 binary64))))
(*.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 #s(literal 18 binary64) (sqrt.f64 t)))
(*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))
(*.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 x #s(literal 1/18 binary64)))
(.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t)))
(.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) x)
(.f64 (.f64 x #s(literal 1/18 binary64)) (sqrt.f64 t))
(.f64 (.f64 x (sqrt.f64 t)) #s(literal 1/18 binary64))

simplify278.0ms (0.8%)

Memory

-19.0MiB live, 515.4MiB allocated

Algorithm

1×	egg-herbie

Rules

4 030×	`-lowering-.f32`
4 030×	`-lowering-.f64`
3 458×	`/-lowering-/.f32`
3 458×	`/-lowering-/.f64`
1 244×	`associate-/r*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	11092
1	123	10192
2	303	9720
3	1042	9336
4	2217	9336
5	3936	9336
6	5524	9336
0	8140	9240

Stop Event

1×	iter limit
1×	node limit

Counts

816 → 816

Calls

Call 1

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

eval328.0ms (0.9%)

Memory: 10.8MiB live, 631.7MiB allocated
Compiler: Compiled 63 909 to 4 950 computations (92.3% saved)

prune306.0ms (0.8%)

Memory

8.1MiB live, 500.5MiB allocated

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	2 543	4	2 547
Fresh	0	0	0
Picked	2	3	5
Done	0	0	0
Total	2 545	7	2 552

Accuracy

100.0%

Counts

2 552 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.3%	(fma.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z)))) #s(literal 1/3 binary64) (.f64 (PI.f64) #s(literal -1/6 binary64)))
▶	98.8%	(fma.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal -1/6 binary64)) (sqrt.f64 (PI.f64)) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))) (*.f64 (PI.f64) #s(literal 1/6 binary64))))
▶	99.6%	(fma.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1/3 binary64) (fma.f64 (sqrt.f64 (PI.f64)) (neg.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/6 binary64))) (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) y) (sqrt.f64 t)) z)))))
▶	99.7%	(fma.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1/3 binary64) (fma.f64 (sqrt.f64 (PI.f64)) (neg.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/6 binary64))) (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (.f64 y z)) x)))))
✓	97.3%	(fma.f64 (PI.f64) #s(literal 1/6 binary64) (.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))) #s(literal -1/3 binary64)))
✓	97.5%	(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 x (.f64 (*.f64 (/.f64 y (sqrt.f64 t)) #s(literal 18 binary64)) z))))
✓	98.3%	(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 y z)) (sqrt.f64 t))))

Compiler

Compiled 164 to 124 computations (24.4% saved)

simplify2.9s (7.7%)

Memory

19.1MiB live, 1 736.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Rules

77 856×	`accelerator-lowering-fma.f32`
77 856×	`accelerator-lowering-fma.f64`
4 108×	`-lowering-.f32`
4 108×	`-lowering-.f64`
3 256×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	447
1	115	447
2	215	403
3	377	367
4	558	367
5	946	367
6	2269	367
7	3795	367
8	4456	367
9	4819	367
10	5037	367
11	5124	367
12	5140	367
13	5140	367
0	8447	363

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize426.0ms (1.2%)

Memory

2.5MiB live, 837.3MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.4%	(*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))
✓	accuracy	98.4%	(*.f64 (PI.f64) #s(literal -1/6 binary64))
✓	accuracy	97.6%	(fma.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z)))) #s(literal 1/3 binary64) (.f64 (PI.f64) #s(literal -1/6 binary64)))
✓	accuracy	88.8%	(/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))
✓	accuracy	99.4%	(*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))
✓	accuracy	98.4%	(*.f64 (PI.f64) #s(literal 1/6 binary64))
✓	accuracy	98.4%	(sqrt.f64 (PI.f64))
✓	accuracy	88.8%	(/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))
✓	accuracy	98.4%	(sqrt.f64 (PI.f64))
✓	accuracy	93.7%	(.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) y) (sqrt.f64 t))
✓	accuracy	93.6%	(/.f64 (.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) y) (sqrt.f64 t)) z)
✓	accuracy	6.6%	(fma.f64 (sqrt.f64 (PI.f64)) (neg.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/6 binary64))) (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) y) (sqrt.f64 t)) z))))
✓	accuracy	98.4%	(sqrt.f64 (PI.f64))
✓	accuracy	94.0%	(/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (.f64 y z))
✓	accuracy	91.9%	(.f64 (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (*.f64 y z)) x)
✓	accuracy	6.6%	(fma.f64 (sqrt.f64 (PI.f64)) (neg.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/6 binary64))) (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (*.f64 y z)) x))))

Samples

169.0ms	127×	2	valid
145.0ms	111×	1	valid
12.0ms	9×	3	valid
3.0ms	9×	0	valid

Compiler

Compiled 419 to 48 computations (88.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 257.0ms

ival-div: 63.0ms (24.5% of total)

ival-mult: 61.0ms (23.7% of total)

const: 36.0ms (14% of total)

adjust: 31.0ms (12% of total)

ival-acos: 27.0ms (10.5% of total)

ival-add: 22.0ms (8.5% of total)

ival-sqrt: 11.0ms (4.3% of total)

ival-pi: 3.0ms (1.2% of total)

ival-neg: 3.0ms (1.2% of total)

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

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

exact: 0.0ms (0% of total)

series41.0ms (0.1%)

Memory

-11.7MiB live, 70.8MiB allocated

Counts

21 → 612

Calls

Call 1

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

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

Calls

153 calls:

Time	Variable		Point	Expression
1.0ms	t	@	-inf	(/ (* (sqrt t) 1/18) (* y z))
1.0ms	t	@	-inf	(* (/ (* x 1/18) y) (sqrt t))
1.0ms	y	@	0	(/ (* (sqrt t) 1/18) (* y z))
1.0ms	z	@	0	(/ (* (sqrt t) 1/18) (* y z))
1.0ms	x	@	0	(+ (* (+ (* (PI) 1/2) (acos (/ (* x (* (sqrt t) 1/18)) (* y z)))) 1/3) (* (PI) -1/6))

rewrite592.0ms (1.6%)

Memory

-4.9MiB live, 902.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 646×	`accelerator-lowering-fma.f32`
8 646×	`accelerator-lowering-fma.f64`
4 072×	`-lowering-.f32`
4 072×	`-lowering-.f64`
4 064×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	238
1	273	214
2	2278	214
0	8282	203

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 1 269

Calls

Call 1

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

Outputs
(+.f64 (.f64 (PI.f64) #s(literal -1/6 binary64)) (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) x)) (*.f64 y z)))))
(+.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) x)) (.f64 y z)))) (*.f64 (PI.f64) #s(literal -1/6 binary64)))
(+.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) x)) (.f64 y z)))) (*.f64 (neg.f64 (PI.f64)) #s(literal 1/6 binary64)))
(+.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) x)) (.f64 y z)))) (.f64 #s(literal -1/3 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64))))
(+.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) x)) (.f64 y z)))) (.f64 (neg.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1/3 binary64)))
(-.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) x)) (.f64 y z)))) (*.f64 (PI.f64) #s(literal 1/6 binary64)))
(-.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/36 binary64)) (fma.f64 (PI.f64) #s(literal -1/6 binary64) (.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) x)) (.f64 y z)))))) (/.f64 (pow.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) x)) (.f64 y z)))) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal -1/6 binary64) (.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) x)) (.f64 y z)))))))
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(.f64 (/.f64 (.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) x)) z) (/.f64 #s(literal 1 binary64) y))
(.f64 (/.f64 x (.f64 y z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))))
(.f64 (pow.f64 (/.f64 z (.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y))
(.f64 (pow.f64 (/.f64 z x) #s(literal -1 binary64)) (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y))
(.f64 (pow.f64 (/.f64 y (.f64 (sqrt.f64 t) x)) #s(literal -1 binary64)) (/.f64 #s(literal 1/18 binary64) z))
(.f64 (pow.f64 (/.f64 z (.f64 (sqrt.f64 t) x)) #s(literal -1 binary64)) (/.f64 #s(literal 1/18 binary64) y))
(.f64 (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (neg.f64 z)) (/.f64 (neg.f64 x) y))
(.f64 (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (neg.f64 y)) (/.f64 (neg.f64 x) z))
(.f64 (/.f64 (sqrt.f64 t) #s(literal -1 binary64)) (/.f64 (neg.f64 (/.f64 (.f64 #s(literal 1/18 binary64) x) y)) z))
(.f64 (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 x) (*.f64 y z)))
(.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (*.f64 y z)))
(.f64 (/.f64 (/.f64 (.f64 #s(literal 1/18 binary64) x) y) #s(literal -1 binary64)) (/.f64 (neg.f64 (sqrt.f64 t)) z))
(.f64 (/.f64 (.f64 (sqrt.f64 t) x) #s(literal -1 binary64)) (/.f64 #s(literal -1/18 binary64) (*.f64 y z)))
(.f64 (/.f64 (neg.f64 x) y) (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (neg.f64 z)))
(.f64 (/.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) y) (/.f64 x (neg.f64 z)))
(.f64 (/.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) #s(literal -1 binary64)) (/.f64 x (*.f64 y z)))
(.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (*.f64 y z)))
(.f64 (/.f64 (neg.f64 (.f64 (sqrt.f64 t) x)) #s(literal -1 binary64)) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))
(.f64 (/.f64 (.f64 x #s(literal -1/18 binary64)) #s(literal -1 binary64)) (/.f64 (sqrt.f64 t) (*.f64 y z)))
(.f64 (/.f64 (.f64 x #s(literal -1/18 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 (sqrt.f64 t) z) y))
(.f64 (/.f64 (neg.f64 (sqrt.f64 t)) #s(literal -1 binary64)) (/.f64 (/.f64 (.f64 #s(literal 1/18 binary64) x) y) z))
(.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) x)) (neg.f64 z)))
(.f64 (/.f64 #s(literal -1 binary64) z) (.f64 #s(literal -1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) y)))
(.f64 (/.f64 (.f64 #s(literal 1/18 binary64) x) z) (/.f64 (sqrt.f64 t) y))
(.f64 (/.f64 (neg.f64 x) z) (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (neg.f64 y)))
(.f64 (/.f64 x (neg.f64 y)) (/.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z))
(.f64 (/.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x (neg.f64 y)))
(.f64 (/.f64 x (neg.f64 z)) (/.f64 (.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) y))
(.f64 (/.f64 (.f64 (sqrt.f64 t) x) (neg.f64 y)) (/.f64 #s(literal -1/18 binary64) z))
(.f64 (/.f64 (.f64 (sqrt.f64 t) x) (neg.f64 z)) (/.f64 #s(literal -1/18 binary64) y))
(.f64 (/.f64 (neg.f64 (.f64 (sqrt.f64 t) x)) y) (/.f64 #s(literal 1/18 binary64) (neg.f64 z)))
(.f64 (/.f64 (neg.f64 (.f64 (sqrt.f64 t) x)) z) (/.f64 #s(literal 1/18 binary64) (neg.f64 y)))
(.f64 (/.f64 (neg.f64 (/.f64 (.f64 #s(literal 1/18 binary64) x) y)) #s(literal -1 binary64)) (/.f64 (sqrt.f64 t) z))
(.f64 (/.f64 (.f64 x #s(literal -1/18 binary64)) z) (/.f64 (sqrt.f64 t) (neg.f64 y)))
(.f64 (/.f64 (.f64 x #s(literal -1/18 binary64)) (neg.f64 z)) (/.f64 (sqrt.f64 t) y))
(*.f64 (/.f64 x (/.f64 z #s(literal 1/18 binary64))) (/.f64 (sqrt.f64 t) y))
(*.f64 (/.f64 x (/.f64 y #s(literal 1/18 binary64))) (/.f64 (sqrt.f64 t) z))
(*.f64 (/.f64 x (/.f64 y (sqrt.f64 t))) (/.f64 #s(literal 1/18 binary64) z))
(*.f64 (/.f64 x (/.f64 z (sqrt.f64 t))) (/.f64 #s(literal 1/18 binary64) y))
(*.f64 (PI.f64) #s(literal 1/6 binary64))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/6 binary64)))
(*.f64 #s(literal 1/6 binary64) (PI.f64))
(.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/6 binary64)) (sqrt.f64 (PI.f64)))
(.f64 #s(literal 1/3 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 (PI.f64) #s(literal 1/3 binary64)))
(.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1/3 binary64))
(.f64 #s(literal 1 binary64) (.f64 (PI.f64) #s(literal 1/6 binary64)))
(.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/6 binary64)))
(.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(.f64 (.f64 #s(literal 1/3 binary64) (PI.f64)) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
(-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) #s(literal 1/6 binary64)))
(neg.f64 (*.f64 (PI.f64) #s(literal 1/6 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal -1/216 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/36 binary64) (.f64 #s(literal 0 binary64) (.f64 (PI.f64) #s(literal 1/6 binary64))))))
(*.f64 (PI.f64) #s(literal -1/6 binary64))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal -1/6 binary64)))
(.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal -1/6 binary64)) (sqrt.f64 (PI.f64)))
(*.f64 #s(literal -1/6 binary64) (PI.f64))
(.f64 #s(literal 1 binary64) (.f64 (PI.f64) #s(literal -1/6 binary64)))
(.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal -1/6 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (PI.f64) #s(literal 1/6 binary64)))
(.f64 (neg.f64 (sqrt.f64 (PI.f64))) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/6 binary64)))
(.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal -1 binary64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/6 binary64)))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (neg.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/6 binary64))

simplify590.0ms (1.6%)

Memory

4.9MiB live, 500.0MiB allocated

Algorithm

1×	egg-herbie

Rules

4 072×	`accelerator-lowering-fma.f32`
4 072×	`accelerator-lowering-fma.f64`
3 884×	`-lowering-.f32`
3 884×	`-lowering-.f64`
2 318×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	9208
1	137	8272
2	345	7824
3	1248	7440
4	2701	7440
5	4098	7440
6	5532	7440
7	7073	7440
0	8033	7296

Stop Event

1×	iter limit
1×	node limit

Counts

612 → 612

Calls

Call 1

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

eval849.0ms (2.3%)

Memory: 22.9MiB live, 439.3MiB allocated
Compiler: Compiled 86 326 to 4 636 computations (94.6% saved)

prune786.0ms (2.1%)

Memory

-2.6MiB live, 440.3MiB allocated

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	2 746	2	2 748
Fresh	0	0	0
Picked	3	1	4
Done	0	3	3
Total	2 749	6	2 755

Accuracy

100.0%

Counts

2 755 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	97.3%	(fma.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z)))) #s(literal 1/3 binary64) (.f64 (PI.f64) #s(literal -1/6 binary64)))
	99.1%	(fma.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal -1/6 binary64)) (sqrt.f64 (PI.f64)) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) x) z)) (.f64 (PI.f64) #s(literal 1/6 binary64))))
	99.7%	(fma.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal -1/6 binary64)) (sqrt.f64 (PI.f64)) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (.f64 y z)) x)) (*.f64 (PI.f64) #s(literal 1/6 binary64))))
✓	97.3%	(fma.f64 (PI.f64) #s(literal 1/6 binary64) (.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))) #s(literal -1/3 binary64)))
✓	97.5%	(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 x (.f64 (*.f64 (/.f64 y (sqrt.f64 t)) #s(literal 18 binary64)) z))))
✓	98.3%	(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 y z)) (sqrt.f64 t))))

Compiler

Compiled 449 to 204 computations (54.6% saved)

regimes138.0ms (0.4%)

Memory

-22.3MiB live, 117.2MiB allocated

Counts

16 → 1

Calls

Call 1

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

Outputs

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

Calls

13 calls:

31.0ms	z
30.0ms	(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
30.0ms	(*.f64 z #s(literal 2 binary64))
5.0ms	(sqrt.f64 t)
5.0ms	(*.f64 y #s(literal 27 binary64))

Results

Accuracy	Segments	Branch
99.7%	1	`x`
99.7%	1	`y`
99.7%	1	`z`
99.7%	1	`t`
99.7%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))`
99.7%	1	`(acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))`
99.7%	1	`(.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t))`
99.7%	1	`(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))`
99.7%	1	`(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))`
99.7%	1	`(/.f64 x (*.f64 y #s(literal 27 binary64)))`
99.7%	1	`(*.f64 y #s(literal 27 binary64))`
99.7%	1	`(*.f64 z #s(literal 2 binary64))`
99.7%	1	`(sqrt.f64 t)`

Compiler

Compiled 135 to 108 computations (20% saved)

regimes78.0ms (0.2%)

Memory

10.8MiB live, 89.4MiB allocated

Accuracy

Total -1.5b remaining (-130.8%)

Threshold costs -1.5b (-130.8%)

Counts

10 → 1

Calls

Call 1

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

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

Calls

13 calls:

37.0ms	t
3.0ms	(*.f64 y #s(literal 27 binary64))
3.0ms	z
3.0ms	(sqrt.f64 t)
3.0ms	(*.f64 z #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
98.3%	1	`x`
98.3%	1	`y`
98.3%	1	`z`
98.3%	1	`t`
98.3%	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))))`
98.3%	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)))`
98.3%	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))`
98.3%	1	`(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))`
98.3%	1	`(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))`
98.3%	1	`(/.f64 x (*.f64 y #s(literal 27 binary64)))`
98.3%	1	`(*.f64 y #s(literal 27 binary64))`
98.3%	1	`(*.f64 z #s(literal 2 binary64))`
98.3%	1	`(sqrt.f64 t)`

Compiler

Compiled 135 to 108 computations (20% saved)

simplify31.0ms (0.1%)

Memory

-22.5MiB live, 16.9MiB allocated

Algorithm

1×	egg-herbie

Rules

16×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	36
1	33	36

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

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

Outputs

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

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

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

soundness602.0ms (1.6%)

Memory

13.8MiB live, 402.2MiB allocated

Rules

9 832×	`accelerator-lowering-fma.f32`
9 832×	`accelerator-lowering-fma.f64`
8 646×	`accelerator-lowering-fma.f32`
8 646×	`accelerator-lowering-fma.f64`
6 718×	`-lowering-.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	46	238
1	273	214
2	2278	214
0	8282	203
0	45	226
1	182	203
2	1240	185
0	9162	185
0	19	50
1	59	42
2	377	36
3	3741	36
0	8207	36
0	45	256
1	236	232
2	1850	232
0	8469	227

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 113 to 83 computations (26.5% saved)

preprocess80.0ms (0.2%)

Memory: 2.8MiB live, 163.1MiB allocated
Remove: (sort y z)
Compiler: Compiled 276 to 198 computations (28.3% saved)

end0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated

analyze338.0ms (0.9%)

sample5.9s (15.9%)

preprocess147.0ms (0.4%)

explain234.0ms (0.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify88.0ms (0.2%)

localize113.0ms (0.3%)

series32.0ms (0.1%)

rewrite4.5s (12.1%)

simplify5.6s (15%)

eval93.0ms (0.3%)

prune80.0ms (0.2%)

simplify145.0ms (0.4%)

localize200.0ms (0.5%)

series42.0ms (0.1%)

rewrite914.0ms (2.5%)

simplify435.0ms (1.2%)

eval3.4s (9.2%)

prune671.0ms (1.8%)

simplify1.4s (3.7%)

localize3.2s (8.8%)

series1.0s (2.7%)

rewrite499.0ms (1.3%)

simplify278.0ms (0.8%)

eval328.0ms (0.9%)

prune306.0ms (0.8%)

simplify2.9s (7.7%)

localize426.0ms (1.2%)

series41.0ms (0.1%)

rewrite592.0ms (1.6%)

simplify590.0ms (1.6%)

eval849.0ms (2.3%)

prune786.0ms (2.1%)

regimes138.0ms (0.4%)

regimes78.0ms (0.2%)

simplify31.0ms (0.1%)

soundness602.0ms (1.6%)

preprocess80.0ms (0.2%)

end0.0ms (0%)

Profiling