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

analyze378.0ms (1.1%)

Memory

-14.6MiB live, 538.8MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 21 to 20 computations (4.8% saved)

sample5.7s (16.4%)

Memory

69.5MiB live, 6 251.2MiB allocated

Samples

3.3s	16 131×	0	invalid
1.1s	8 256×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 2.6s

ival-mult: 1.0s (38.2% of total)

ival-div: 703.0ms (26.8% of total)

ival-acos: 610.0ms (23.2% of total)

ival-sqrt: 236.0ms (9% of total)

exact: 42.0ms (1.6% of total)

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

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

Bogosity

preprocess163.0ms (0.5%)

Memory

-4.3MiB live, 160.8MiB allocated

Algorithm

1×	egg-herbie

Rules

2 044×	`lower-*.f32`
2 034×	`lower-*.f64`
1 530×	`unsub-neg`
1 368×	`associate-*r/`
1 168×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	89	246
1	275	212
2	967	184
3	3633	184
4	4322	184
5	5222	184
6	6504	184
0	18	17
0	29	17
1	49	15
2	127	13
3	394	13
4	1401	13
5	3100	13
6	3190	13
7	3241	13
8	3241	13
9	3241	13
10	3840	13
11	3879	13
12	3879	13
0	3879	13

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	node limit

Calls

Call 1

Inputs

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

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

Symmetry

(sort y z)

explain230.0ms (0.7%)

Memory

16.5MiB live, 479.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
22	0	-	2	(-8.20727611708276e-298 -1241093677411.7236 -1.8233473382491716e-29 5.401462667985029e+226)	`(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))`
14	0	-	5	(0.029126623802713365 -1.1456339569500034e+32 8.177260929415755e+276 2.1190917550233108e+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))`
0	0	-	0	-	`t`
0	0	-	0	-	`#s(literal 3 binary64)`
0	0	-	0	-	`#s(literal 1 binary64)`
0	1	(-2.0458128775766856e-191 -3.286227786237534e+131 8.406341558133566e+47 4.3012646317129316e-276)	0	-	`(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))`
0	0	-	0	-	`(*.f64 y #s(literal 27 binary64))`
0	0	-	0	-	`y`
0	0	-	0	-	`(/.f64 x (*.f64 y #s(literal 27 binary64)))`
0	0	-	0	-	`#s(literal 27 binary64)`
0	0	-	0	-	`z`
0	0	-	0	-	`(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))`
0	0	-	0	-	`(acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))`
0	0	-	0	-	`#s(literal 2 binary64)`
0	0	-	0	-	`(*.f64 z #s(literal 2 binary64))`
0	0	-	0	-	`(sqrt.f64 t)`
0	0	-	0	-	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))`
0	0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))`	u/n	20	0
↳	`(/.f64 x (*.f64 y #s(literal 27 binary64)))`	underflow	64
↳	`(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))`	underflow	63
`*.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**	9	0
`*.f64`	`(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))`	*nu**	1	0

Confusion

	Predicted +	Predicted -
+	0	0
-	30	226

Precision

0.0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	30	0	226

Precision?

0.0

Recall?

0/0

Freqs

test

number	freq
0	226
1	30

Total Confusion?

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

Precision?

0.0

Recall?

0/0

Samples

97.0ms

512×

valid

Compiler

Compiled 230 to 76 computations (67% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-mult: 16.0ms (39.1% of total)

ival-div: 11.0ms (26.9% of total)

ival-acos: 9.0ms (22% of total)

ival-sqrt: 4.0ms (9.8% of total)

exact: 1.0ms (2.4% of total)

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

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

eval0.0ms (0%)

Memory: 0.7MiB live, 0.7MiB allocated
Compiler: Compiled 4 to 4 computations (0% saved)

prune1.0ms (0%)

Memory

3.3MiB live, 3.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	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))))

Status

Accuracy

Program

▶

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))))

Compiler

Compiled 23 to 18 computations (21.7% saved)

simplify103.0ms (0.3%)

Memory

-9.3MiB live, 122.9MiB 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×	`lower-*.f32`
2 034×	`lower-*.f64`
1 368×	`associate-*r/`
1 168×	`associate-r`
1 118×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	86
0	29	86
1	49	76
2	127	68
3	394	68
4	1401	68
5	3100	68
6	3190	68
7	3241	68
8	3241	68
9	3241	68
10	3840	68
11	3879	68
12	3879	68
0	3879	68

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize51.0ms (0.1%)

Memory

0.3MiB live, 116.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))
✓	accuracy	98.5%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
✓	accuracy	96.2%	(.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	92.7%	(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))

Samples

33.0ms

256×

valid

Compiler

Compiled 92 to 20 computations (78.3% saved)

Precisions

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

ival-mult: 9.0ms (45.4% of total)

ival-div: 5.0ms (25.2% of total)

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

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

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

exact: 0.0ms (0% of total)

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

series24.0ms (0.1%)

Memory

3.2MiB live, 47.9MiB allocated

Counts

5 → 156

Calls

Call 1

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

Calls

39 calls:

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

simplify215.0ms (0.6%)

Memory

-1.0MiB live, 233.8MiB allocated

Algorithm

1×	egg-herbie

Rules

4 146×	`lower-*.f64`
4 146×	`lower-*.f32`
3 464×	`lower-/.f32`
3 464×	`lower-/.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))

rewrite605.0ms (1.7%)

Memory

24.0MiB live, 380.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 832×	`lower-*.f32`
5 822×	`lower-*.f64`
3 672×	`lower-/.f32`
3 668×	`lower-/.f64`
1 650×	`lower-pow.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	50
0	29	50
1	69	42
2	387	36
3	3742	36
0	8214	36

Stop Event

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

Counts

5 → 518

Calls

Call 1

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

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

eval84.0ms (0.2%)

Memory: -7.0MiB live, 232.9MiB allocated
Compiler: Compiled 12 544 to 2 567 computations (79.5% saved)

prune105.0ms (0.3%)

Memory

-12.5MiB live, 222.0MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	668	6	674
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	669	6	675

Accuracy

98.5%

Counts

675 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.3%	(/.f64 (.f64 (-.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 x (sqrt.f64 t))) (.f64 y (.f64 z #s(literal 54 binary64))))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 (asin.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 x (sqrt.f64 t))) (.f64 y (.f64 z #s(literal 54 binary64))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 x (sqrt.f64 t))) (.f64 y (.f64 z #s(literal 54 binary64)))))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
▶	49.6%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (exp.f64 (.f64 (log.f64 (.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
▶	50.4%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (exp.f64 (.f64 (log.f64 (.f64 z (.f64 (/.f64 #s(literal 2 binary64) (.f64 x #s(literal 1/9 binary64))) y))) #s(literal -1 binary64))) (sqrt.f64 t))))
▶	98.4%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))) (sqrt.f64 t))))
▶	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))))
▶	97.3%	#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z)))))

Compiler

Compiled 348 to 230 computations (33.9% saved)

simplify622.0ms (1.8%)

Memory

-26.2MiB live, 246.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	192	(.f64 (log.f64 (.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))
✓	cost-diff	704	(/.f64 (exp.f64 (.f64 (log.f64 (.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))) (*.f64 z #s(literal 2 binary64)))
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
✓	cost-diff	12928	(exp.f64 (.f64 (log.f64 (.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64)))
✓	cost-diff	192	(.f64 (log.f64 (.f64 z (.f64 (/.f64 #s(literal 2 binary64) (.f64 x #s(literal 1/9 binary64))) y))) #s(literal -1 binary64))
✓	cost-diff	320	(/.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/9 binary64)))
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
✓	cost-diff	12928	(exp.f64 (.f64 (log.f64 (.f64 z (.f64 (/.f64 #s(literal 2 binary64) (.f64 x #s(literal 1/9 binary64))) y))) #s(literal -1 binary64)))
✓	cost-diff	0	(.f64 #s(approx (/ ( 3 (/ x (* y 27))) (* z 2)) (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))) (sqrt.f64 t))
✓	cost-diff	0	(acos.f64 (.f64 #s(approx (/ ( 3 (/ x (* y 27))) (* z 2)) (.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 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (.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 (.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	#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z)))))
✓	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

7 248×	`lower-*.f32`
7 214×	`lower-*.f64`
3 956×	`lower-/.f32`
3 944×	`lower-/.f64`
3 808×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	65	519
0	108	517
1	174	459
2	361	417
3	859	417
4	2401	417
5	2965	417
6	3227	417
7	3278	417
8	3450	417
9	3467	417
10	5058	417
11	5058	417
12	5058	417
13	5368	417
14	5586	417
15	5586	417
16	6041	417
17	6150	417
18	6163	417
19	6163	417
20	6185	417
21	6185	417
22	6582	417
23	6903	417
24	6974	417
25	6974	417
0	8574	417

Stop Event

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

Calls

Call 1

Inputs
(.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))))
#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 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))
#s(literal 3 binary64)
(/.f64 x (*.f64 y #s(literal 27 binary64)))
x
(*.f64 y #s(literal 27 binary64))
y
#s(literal 27 binary64)
(*.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
(sqrt.f64 t)
t
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z)))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))))
#s(literal 1/3 binary64)
(acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z)))
(/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z))
(.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t)))
#s(literal 1/18 binary64)
(*.f64 x (sqrt.f64 t))
x
(sqrt.f64 t)
t
(*.f64 y z)
y
z
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))) (sqrt.f64 t))))
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(literal 1 binary64)
#s(literal 3 binary64)
(acos.f64 (.f64 #s(approx (/ ( 3 (/ x (* y 27))) (* z 2)) (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))) (sqrt.f64 t)))
(.f64 #s(approx (/ ( 3 (/ x (* y 27))) (* z 2)) (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))) (sqrt.f64 t))
#s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z))))
(.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))
#s(literal 1/18 binary64)
(/.f64 x (*.f64 y z))
x
(*.f64 y z)
y
z
(sqrt.f64 t)
t
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (exp.f64 (.f64 (log.f64 (.f64 z (.f64 (/.f64 #s(literal 2 binary64) (.f64 x #s(literal 1/9 binary64))) y))) #s(literal -1 binary64))) (sqrt.f64 t))))
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(literal 1 binary64)
#s(literal 3 binary64)
(acos.f64 (.f64 (exp.f64 (.f64 (log.f64 (.f64 z (.f64 (/.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/9 binary64))) y))) #s(literal -1 binary64))) (sqrt.f64 t)))
(.f64 (exp.f64 (.f64 (log.f64 (.f64 z (.f64 (/.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/9 binary64))) y))) #s(literal -1 binary64))) (sqrt.f64 t))
(exp.f64 (.f64 (log.f64 (.f64 z (.f64 (/.f64 #s(literal 2 binary64) (.f64 x #s(literal 1/9 binary64))) y))) #s(literal -1 binary64)))
(.f64 (log.f64 (.f64 z (.f64 (/.f64 #s(literal 2 binary64) (.f64 x #s(literal 1/9 binary64))) y))) #s(literal -1 binary64))
(log.f64 (.f64 z (.f64 (/.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/9 binary64))) y)))
(.f64 z (.f64 (/.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/9 binary64))) y))
z
(.f64 (/.f64 #s(literal 2 binary64) (.f64 x #s(literal 1/9 binary64))) y)
(/.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/9 binary64)))
#s(literal 2 binary64)
(*.f64 x #s(literal 1/9 binary64))
x
#s(literal 1/9 binary64)
y
#s(literal -1 binary64)
(sqrt.f64 t)
t
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (exp.f64 (.f64 (log.f64 (.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(literal 1 binary64)
#s(literal 3 binary64)
(acos.f64 (.f64 (/.f64 (exp.f64 (.f64 (log.f64 (.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
(.f64 (/.f64 (exp.f64 (.f64 (log.f64 (.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
(/.f64 (exp.f64 (.f64 (log.f64 (.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))) (*.f64 z #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64)))
(.f64 (log.f64 (.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))
(log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64)))
(*.f64 (/.f64 y x) #s(literal 9 binary64))
(/.f64 y x)
y
x
#s(literal 9 binary64)
#s(literal -1 binary64)
(*.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
(sqrt.f64 t)
t

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

localize276.0ms (0.8%)

Memory

4.4MiB live, 393.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.7%	(.f64 (/.f64 (exp.f64 (.f64 (log.f64 (.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
✓	accuracy	98.4%	(/.f64 (exp.f64 (.f64 (log.f64 (.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))) (*.f64 z #s(literal 2 binary64)))
✓	accuracy	97.6%	(exp.f64 (.f64 (log.f64 (.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64)))
✓	accuracy	91.7%	(log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64)))
✓	accuracy	98.9%	(.f64 z (.f64 (/.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/9 binary64))) y))
✓	accuracy	98.7%	(.f64 (exp.f64 (.f64 (log.f64 (.f64 z (.f64 (/.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/9 binary64))) y))) #s(literal -1 binary64))) (sqrt.f64 t))
✓	accuracy	98.0%	(exp.f64 (.f64 (log.f64 (.f64 z (.f64 (/.f64 #s(literal 2 binary64) (.f64 x #s(literal 1/9 binary64))) y))) #s(literal -1 binary64)))
✓	accuracy	87.1%	(log.f64 (.f64 z (.f64 (/.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/9 binary64))) y)))
✓	accuracy	99.9%	(.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))
✓	accuracy	99.5%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))) (sqrt.f64 t))))
✓	accuracy	98.7%	(.f64 #s(approx (/ ( 3 (/ x (* y 27))) (* z 2)) (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))) (sqrt.f64 t))
✓	accuracy	97.3%	(/.f64 x (*.f64 y z))
✓	accuracy	99.9%	(*.f64 x (sqrt.f64 t))
✓	accuracy	99.8%	(.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t)))
✓	accuracy	99.5%	(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))))
✓	accuracy	96.2%	(/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z))
✓	accuracy	99.9%	(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))
✓	accuracy	99.5%	(.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	98.7%	(.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	98.4%	(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))

Samples

92.0ms	165×	0	invalid
40.0ms	91×	0	valid

Compiler

Compiled 489 to 53 computations (89.2% saved)

Precisions

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

ival-mult: 31.0ms (40% of total)

ival-div: 14.0ms (18% of total)

const: 10.0ms (12.9% of total)

ival-acos: 8.0ms (10.3% of total)

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

ival-exp: 5.0ms (6.4% of total)

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

exact: 1.0ms (1.3% of total)

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

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

series396.0ms (1.1%)

Memory

20.0MiB live, 687.2MiB allocated

Counts

28 → 1 020

Calls

Call 1

Inputs
#<alt (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))>
#<alt (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))>
#<alt (.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))))>
#<alt (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)))>
#<alt #s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z)))))>
#<alt (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))))>
#<alt (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z)))>
#<alt (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z))>
#<alt (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))>
#<alt (.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))) (sqrt.f64 t))))>
#<alt (acos.f64 (.f64 #s(approx (/ ( 3 (/ x (* y 27))) (* z 2)) (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))) (sqrt.f64 t)))>
#<alt (.f64 #s(approx (/ ( 3 (/ x (* y 27))) (* z 2)) (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))) (sqrt.f64 t))>
#<alt (exp.f64 (.f64 (log.f64 (.f64 z (.f64 (/.f64 #s(literal 2 binary64) (.f64 x #s(literal 1/9 binary64))) y))) #s(literal -1 binary64)))>
#<alt (/.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/9 binary64)))>
#<alt (.f64 (log.f64 (.f64 z (.f64 (/.f64 #s(literal 2 binary64) (.f64 x #s(literal 1/9 binary64))) y))) #s(literal -1 binary64))>
#<alt (exp.f64 (.f64 (log.f64 (.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64)))>
#<alt (/.f64 (exp.f64 (.f64 (log.f64 (.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))) (*.f64 z #s(literal 2 binary64)))>
#<alt (.f64 (log.f64 (.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))>
#<alt (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t))>
#<alt (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t)))>
#<alt (*.f64 x (sqrt.f64 t))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))>
#<alt (log.f64 (.f64 z (.f64 (/.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/9 binary64))) y)))>
#<alt (.f64 (exp.f64 (.f64 (log.f64 (.f64 z (.f64 (/.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/9 binary64))) y))) #s(literal -1 binary64))) (sqrt.f64 t))>
#<alt (.f64 z (.f64 (/.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/9 binary64))) y))>
#<alt (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64)))>
#<alt (.f64 (/.f64 (exp.f64 (.f64 (log.f64 (.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t))>

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

255 calls:

Time	Variable		Point	Expression
68.0ms	x	@	0	(* (log (* (/ y x) 9)) -1)
45.0ms	z	@	0	(* (log (* z (* (/ 2 (* x 1/9)) y))) -1)
40.0ms	x	@	-inf	(* (log (* z (* (/ 2 (* x 1/9)) y))) -1)
38.0ms	y	@	inf	(* (log (* (/ y x) 9)) -1)
31.0ms	y	@	0	(* (log (* (/ y x) 9)) -1)

simplify275.0ms (0.8%)

Memory

7.0MiB live, 355.6MiB allocated

Algorithm

1×	egg-herbie

Rules

4 140×	`lower-*.f64`
4 140×	`lower-*.f32`
2 730×	`lower-/.f32`
2 730×	`lower-/.f64`
2 282×	`lower-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	114	9756
1	295	9588
2	597	9532
3	1468	9532
4	2936	9532
5	5954	9532
0	8069	9532

Stop Event

1×	iter limit
1×	node limit

Counts

1 020 → 1 020

Calls

Call 1

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

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

rewrite656.0ms (1.9%)

Memory

-173.5MiB live, 668.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 158×	`lower-*.f32`
5 124×	`lower-*.f64`
4 034×	`lower-/.f32`
4 022×	`lower-/.f64`
912×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	61	339
0	98	329
1	221	291
2	1044	265
0	8217	265

Stop Event

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

Counts

28 → 2 969

Calls

Call 1

Inputs
(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 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))))
(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)))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z)))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z))))
(acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z)))
(/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y z))
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))) (sqrt.f64 t))))
(acos.f64 (.f64 #s(approx (/ ( 3 (/ x (* y 27))) (* z 2)) (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))) (sqrt.f64 t)))
(.f64 #s(approx (/ ( 3 (/ x (* y 27))) (* z 2)) (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))) (sqrt.f64 t))
(exp.f64 (.f64 (log.f64 (.f64 z (.f64 (/.f64 #s(literal 2 binary64) (.f64 x #s(literal 1/9 binary64))) y))) #s(literal -1 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/9 binary64)))
(.f64 (log.f64 (.f64 z (.f64 (/.f64 #s(literal 2 binary64) (.f64 x #s(literal 1/9 binary64))) y))) #s(literal -1 binary64))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64)))
(/.f64 (exp.f64 (.f64 (log.f64 (.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))) (*.f64 z #s(literal 2 binary64)))
(.f64 (log.f64 (.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))
(.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 1/18 binary64) (.f64 x (sqrt.f64 t)))
(*.f64 x (sqrt.f64 t))
(/.f64 x (*.f64 y z))
(.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))
(log.f64 (.f64 z (.f64 (/.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/9 binary64))) y)))
(.f64 (exp.f64 (.f64 (log.f64 (.f64 z (.f64 (/.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/9 binary64))) y))) #s(literal -1 binary64))) (sqrt.f64 t))
(.f64 z (.f64 (/.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/9 binary64))) y))
(log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64)))
(.f64 (/.f64 (exp.f64 (.f64 (log.f64 (.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t))

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

eval946.0ms (2.7%)

Memory: 21.3MiB live, 976.3MiB allocated
Compiler: Compiled 72 271 to 6 738 computations (90.7% saved)

prune8.0s (22.9%)

Memory

16.5MiB live, 942.2MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	3 985	6	3 991
Fresh	1	0	1
Picked	5	0	5
Done	0	0	0
Total	3 991	6	3 997

Accuracy

98.5%

Counts

3 997 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.3%	(/.f64 (.f64 (-.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z)))) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
▶	98.4%	(.f64 (acos.f64 (.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))))) #s(literal 1/3 binary64))
▶	97.3%	(.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z)))) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64))))))
▶	98.5%	(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) (sqrt.f64 t)) z)))
▶	63.5%	(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (exp.f64 (log.f64 (/.f64 x (.f64 y #s(literal 9 binary64))))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
▶	69.5%	(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (exp.f64 (log.f64 (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z))))) (sqrt.f64 t))))

Compiler

Compiled 352 to 220 computations (37.5% saved)

simplify288.0ms (0.8%)

Memory

-20.7MiB live, 298.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))))
✓	cost-diff	0	(/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z)))) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))) #s(literal 2 binary64))))
✓	cost-diff	128	(.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z)))) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64))))))
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z)))) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))) #s(literal 2 binary64)))))
✓	cost-diff	0	(acos.f64 (.f64 (/.f64 (exp.f64 (log.f64 (/.f64 x (.f64 y #s(literal 9 binary64))))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
✓	cost-diff	0	(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (exp.f64 (log.f64 (/.f64 x (.f64 y #s(literal 9 binary64))))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
✓	cost-diff	704	(/.f64 (exp.f64 (log.f64 (/.f64 x (.f64 y #s(literal 9 binary64))))) (.f64 z #s(literal 2 binary64)))
✓	cost-diff	12800	(exp.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 9 binary64)))))
✓	cost-diff	0	(.f64 (exp.f64 (log.f64 (.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))) (sqrt.f64 t))
✓	cost-diff	0	(acos.f64 (.f64 (exp.f64 (log.f64 (.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))) (sqrt.f64 t)))
✓	cost-diff	0	(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (exp.f64 (log.f64 (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z))))) (sqrt.f64 t))))
✓	cost-diff	12800	(exp.f64 (log.f64 (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))))
✓	cost-diff	0	(sqrt.f64 t)
✓	cost-diff	0	(.f64 (sqrt.f64 t) #s(approx (/ ( 3 (/ x (* y 27))) (* z 2)) (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))))
✓	cost-diff	0	(acos.f64 (.f64 (sqrt.f64 t) #s(approx (/ ( 3 (/ x (* y 27))) (* z 2)) (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z))))))
✓	cost-diff	0	(.f64 (acos.f64 (.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))))) #s(literal 1/3 binary64))
✓	cost-diff	0	(.f64 (.f64 x (/.f64 #s(literal 1/18 binary64) y)) (sqrt.f64 t))
✓	cost-diff	0	(acos.f64 (/.f64 (.f64 (.f64 x (/.f64 #s(literal 1/18 binary64) y)) (sqrt.f64 t)) z))
✓	cost-diff	0	(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) (sqrt.f64 t)) z)))
✓	cost-diff	384	(/.f64 (.f64 (.f64 x (/.f64 #s(literal 1/18 binary64) y)) (sqrt.f64 t)) z)

Rules

3 808×	`lower-*.f32`
3 774×	`lower-*.f64`
2 552×	`lower-fma.f32`
2 550×	`lower-fma.f64`
2 184×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	549
0	100	541
1	169	527
2	349	503
3	724	503
4	1632	503
5	3437	503
6	4083	503
7	4618	503
8	5501	503
9	6186	503
10	6589	503
11	6901	503
12	7260	503
13	7575	503
14	7901	503
15	7937	503
16	7937	503
0	8358	502

Stop Event

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

Calls

Call 1

Inputs
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) (sqrt.f64 t)) z)))
#s(literal 1/3 binary64)
(acos.f64 (/.f64 (.f64 (.f64 x (/.f64 #s(literal 1/18 binary64) y)) (sqrt.f64 t)) z))
(/.f64 (.f64 (.f64 x (/.f64 #s(literal 1/18 binary64) y)) (sqrt.f64 t)) z)
(.f64 (.f64 x (/.f64 #s(literal 1/18 binary64) y)) (sqrt.f64 t))
(*.f64 x (/.f64 #s(literal 1/18 binary64) y))
x
(/.f64 #s(literal 1/18 binary64) y)
#s(literal 1/18 binary64)
y
(sqrt.f64 t)
t
z
(.f64 (acos.f64 (.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))))) #s(literal 1/3 binary64))
(acos.f64 (.f64 (sqrt.f64 t) #s(approx (/ ( 3 (/ x (* y 27))) (* z 2)) (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z))))))
(.f64 (sqrt.f64 t) #s(approx (/ ( 3 (/ x (* y 27))) (* z 2)) (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))))
(sqrt.f64 t)
t
#s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z))))
(.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))
#s(literal 1/18 binary64)
(/.f64 x (*.f64 y z))
x
(*.f64 y z)
y
z
#s(literal 1/3 binary64)
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (exp.f64 (log.f64 (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z))))) (sqrt.f64 t))))
#s(literal 1/3 binary64)
(acos.f64 (.f64 (exp.f64 (log.f64 (.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))) (sqrt.f64 t)))
(.f64 (exp.f64 (log.f64 (.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))) (sqrt.f64 t))
(exp.f64 (log.f64 (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))))
(log.f64 (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z))))
(.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))
#s(literal 1/18 binary64)
(/.f64 x (*.f64 y z))
x
(*.f64 y z)
y
z
(sqrt.f64 t)
t
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (exp.f64 (log.f64 (/.f64 x (.f64 y #s(literal 9 binary64))))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
#s(literal 1/3 binary64)
(acos.f64 (.f64 (/.f64 (exp.f64 (log.f64 (/.f64 x (.f64 y #s(literal 9 binary64))))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
(.f64 (/.f64 (exp.f64 (log.f64 (/.f64 x (.f64 y #s(literal 9 binary64))))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
(/.f64 (exp.f64 (log.f64 (/.f64 x (.f64 y #s(literal 9 binary64))))) (.f64 z #s(literal 2 binary64)))
(exp.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 9 binary64)))))
(log.f64 (/.f64 x (*.f64 y #s(literal 9 binary64))))
(/.f64 x (*.f64 y #s(literal 9 binary64)))
x
(*.f64 y #s(literal 9 binary64))
y
#s(literal 9 binary64)
(*.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
(sqrt.f64 t)
t
(.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z)))) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64))))))
#s(literal 1/3 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z)))) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))) #s(literal 2 binary64)))))
#s(literal 1 binary64)
(/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z)))) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))) #s(literal 2 binary64))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))))
(PI.f64)
#s(literal 1/2 binary64)
(asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))
(/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))
(.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))
x
(*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))
(sqrt.f64 t)
t
#s(literal 1/18 binary64)
(*.f64 y z)
y
z
(-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)))
(.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
(*.f64 (PI.f64) (PI.f64))
#s(literal 1/4 binary64)
(pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64))
#s(literal 2 binary64)

Outputs
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) (sqrt.f64 t)) z)))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z))))
#s(literal 1/3 binary64)
(acos.f64 (/.f64 (.f64 (.f64 x (/.f64 #s(literal 1/18 binary64) y)) (sqrt.f64 t)) z))
(acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))
(/.f64 (.f64 (.f64 x (/.f64 #s(literal 1/18 binary64) y)) (sqrt.f64 t)) z)
(/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(.f64 (.f64 x (/.f64 #s(literal 1/18 binary64) y)) (sqrt.f64 t))
(.f64 #s(literal 1/18 binary64) (/.f64 (.f64 x (sqrt.f64 t)) y))
(*.f64 x (/.f64 #s(literal 1/18 binary64) y))
x
(/.f64 #s(literal 1/18 binary64) y)
#s(literal 1/18 binary64)
y
(sqrt.f64 t)
t
z
(.f64 (acos.f64 (.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))))) #s(literal 1/3 binary64))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 y z))))))
(acos.f64 (.f64 (sqrt.f64 t) #s(approx (/ ( 3 (/ x (* y 27))) (* z 2)) (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z))))))
(acos.f64 (.f64 (sqrt.f64 t) #s(approx (/ ( 3 (/ x (* y 27))) (* z 2)) (/.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 y z)))))
(.f64 (sqrt.f64 t) #s(approx (/ ( 3 (/ x (* y 27))) (* z 2)) (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))))
(.f64 (sqrt.f64 t) #s(approx (/ ( 3 (/ x (* y 27))) (* z 2)) (/.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 y z))))
(sqrt.f64 t)
t
#s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z))))
#s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 y z)))
(.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))
(/.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 y z))
#s(literal 1/18 binary64)
(/.f64 x (*.f64 y z))
x
(*.f64 y z)
y
z
#s(literal 1/3 binary64)
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (exp.f64 (log.f64 (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z))))) (sqrt.f64 t))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z))))
#s(literal 1/3 binary64)
(acos.f64 (.f64 (exp.f64 (log.f64 (.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))) (sqrt.f64 t)))
(acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))
(.f64 (exp.f64 (log.f64 (.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))) (sqrt.f64 t))
(/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(exp.f64 (log.f64 (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))))
(/.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 y z))
(log.f64 (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z))))
(log.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 y z)))
(.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))
(/.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 y z))
#s(literal 1/18 binary64)
(/.f64 x (*.f64 y z))
x
(*.f64 y z)
y
z
(sqrt.f64 t)
t
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (exp.f64 (log.f64 (/.f64 x (.f64 y #s(literal 9 binary64))))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (.f64 z #s(literal 18 binary64))))))
#s(literal 1/3 binary64)
(acos.f64 (.f64 (/.f64 (exp.f64 (log.f64 (/.f64 x (.f64 y #s(literal 9 binary64))))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
(acos.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (*.f64 z #s(literal 18 binary64)))))
(.f64 (/.f64 (exp.f64 (log.f64 (/.f64 x (.f64 y #s(literal 9 binary64))))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
(/.f64 (.f64 x (sqrt.f64 t)) (.f64 y (*.f64 z #s(literal 18 binary64))))
(/.f64 (exp.f64 (log.f64 (/.f64 x (.f64 y #s(literal 9 binary64))))) (.f64 z #s(literal 2 binary64)))
(/.f64 x (.f64 y (.f64 z #s(literal 18 binary64))))
(exp.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 9 binary64)))))
(/.f64 x (*.f64 y #s(literal 9 binary64)))
(log.f64 (/.f64 x (*.f64 y #s(literal 9 binary64))))
(/.f64 x (*.f64 y #s(literal 9 binary64)))
x
(*.f64 y #s(literal 9 binary64))
y
#s(literal 9 binary64)
(*.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
(sqrt.f64 t)
t
(.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z)))) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64))))))
(/.f64 (fma.f64 (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z))) #s(literal 2 binary64)) #s(literal -1/3 binary64) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/12 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z)))))
#s(literal 1/3 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z)))) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z)))))
#s(literal 1 binary64)
(/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z)))) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))) #s(literal 2 binary64))))
(neg.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z)))) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal -1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) #s(literal 2 binary64)))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))))
(PI.f64)
#s(literal 1/2 binary64)
(asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))
(asin.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))
(/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))
(/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))
(.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
x
(*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
(sqrt.f64 t)
t
#s(literal 1/18 binary64)
(*.f64 y z)
y
z
(-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)))
(-.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) #s(literal 2 binary64)))
(.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
(.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (PI.f64) (PI.f64))
#s(literal 1/4 binary64)
(pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64))
(pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) #s(literal 2 binary64))
#s(literal 2 binary64)

localize277.0ms (0.8%)

Memory

24.8MiB live, 331.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))
✓	accuracy	99.5%	(.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z)))) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64))))))
✓	accuracy	96.2%	(/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))
✓	accuracy	37.6%	(PI.f64)
✓	accuracy	98.7%	(.f64 (/.f64 (exp.f64 (log.f64 (/.f64 x (.f64 y #s(literal 9 binary64))))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
✓	accuracy	98.4%	(/.f64 (exp.f64 (log.f64 (/.f64 x (.f64 y #s(literal 9 binary64))))) (.f64 z #s(literal 2 binary64)))
✓	accuracy	97.6%	(exp.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 9 binary64)))))
✓	accuracy	92.2%	(log.f64 (/.f64 x (*.f64 y #s(literal 9 binary64))))
✓	accuracy	98.7%	(.f64 (exp.f64 (log.f64 (.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))) (sqrt.f64 t))
✓	accuracy	98.0%	(exp.f64 (log.f64 (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))))
✓	accuracy	97.3%	(/.f64 x (*.f64 y z))
✓	accuracy	88.1%	(log.f64 (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z))))
✓	accuracy	99.9%	(.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))
✓	accuracy	99.5%	(.f64 (acos.f64 (.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))))) #s(literal 1/3 binary64))
✓	accuracy	98.7%	(.f64 (sqrt.f64 t) #s(approx (/ ( 3 (/ x (* y 27))) (* z 2)) (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))))
✓	accuracy	97.3%	(/.f64 x (*.f64 y z))
✓	accuracy	99.8%	(/.f64 #s(literal 1/18 binary64) y)
✓	accuracy	99.5%	(.f64 (.f64 x (/.f64 #s(literal 1/18 binary64) y)) (sqrt.f64 t))
✓	accuracy	99.5%	(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) (sqrt.f64 t)) z)))
✓	accuracy	99.2%	(/.f64 (.f64 (.f64 x (/.f64 #s(literal 1/18 binary64) y)) (sqrt.f64 t)) z)

Samples

99.0ms	91×	0	valid
92.0ms	165×	0	invalid

Compiler

Compiled 523 to 60 computations (88.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 159.0ms

ival-mult: 106.0ms (66.7% of total)

ival-div: 17.0ms (10.7% of total)

ival-acos: 8.0ms (5% of total)

const: 7.0ms (4.4% of total)

ival-exp: 5.0ms (3.1% of total)

ival-log: 5.0ms (3.1% of total)

ival-pow2: 4.0ms (2.5% of total)

ival-asin: 2.0ms (1.3% of total)

ival-sqrt: 2.0ms (1.3% of total)

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

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

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

exact: 1.0ms (0.6% of total)

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

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

series418.0ms (1.2%)

Memory

-24.3MiB live, 655.1MiB allocated

Counts

29 → 1 116

Calls

Call 1

Inputs
#<alt (/.f64 (.f64 (.f64 x (/.f64 #s(literal 1/18 binary64) y)) (sqrt.f64 t)) z)>
#<alt (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) (sqrt.f64 t)) z)))>
#<alt (acos.f64 (/.f64 (.f64 (.f64 x (/.f64 #s(literal 1/18 binary64) y)) (sqrt.f64 t)) z))>
#<alt (.f64 (.f64 x (/.f64 #s(literal 1/18 binary64) y)) (sqrt.f64 t))>
#<alt (.f64 (acos.f64 (.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))))) #s(literal 1/3 binary64))>
#<alt (acos.f64 (.f64 (sqrt.f64 t) #s(approx (/ ( 3 (/ x (* y 27))) (* z 2)) (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z))))))>
#<alt (.f64 (sqrt.f64 t) #s(approx (/ ( 3 (/ x (* y 27))) (* z 2)) (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))))>
#<alt (sqrt.f64 t)>
#<alt (exp.f64 (log.f64 (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))))>
#<alt (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (exp.f64 (log.f64 (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z))))) (sqrt.f64 t))))>
#<alt (acos.f64 (.f64 (exp.f64 (log.f64 (.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))) (sqrt.f64 t)))>
#<alt (.f64 (exp.f64 (log.f64 (.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))) (sqrt.f64 t))>
#<alt (exp.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 9 binary64)))))>
#<alt (/.f64 (exp.f64 (log.f64 (/.f64 x (.f64 y #s(literal 9 binary64))))) (.f64 z #s(literal 2 binary64)))>
#<alt (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (exp.f64 (log.f64 (/.f64 x (.f64 y #s(literal 9 binary64))))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))>
#<alt (acos.f64 (.f64 (/.f64 (exp.f64 (log.f64 (/.f64 x (.f64 y #s(literal 9 binary64))))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z)))) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))) #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z)))) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64))))))>
#<alt (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z)))) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))) #s(literal 2 binary64))))>
#<alt (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))))>
#<alt (/.f64 #s(literal 1/18 binary64) y)>
#<alt (/.f64 x (*.f64 y z))>
#<alt (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))>
#<alt (log.f64 (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z))))>
#<alt (log.f64 (/.f64 x (*.f64 y #s(literal 9 binary64))))>
#<alt (.f64 (/.f64 (exp.f64 (log.f64 (/.f64 x (.f64 y #s(literal 9 binary64))))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))>
#<alt (PI.f64)>
#<alt (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))>
#<alt (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))>

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

279 calls:

Time	Variable		Point	Expression
151.0ms	x	@	-inf	(log (/ x (* y 9)))
33.0ms	z	@	0	(log (* 1/18 (/ x (* y z))))
21.0ms	x	@	0	(log (/ x (* y 9)))
20.0ms	x	@	0	(log (* 1/18 (/ x (* y z))))
19.0ms	y	@	0	(log (/ x (* y 9)))

simplify369.0ms (1.1%)

Memory

19.8MiB live, 566.1MiB allocated

Algorithm

1×	egg-herbie

Rules

4 362×	`lower-*.f64`
4 362×	`lower-*.f32`
3 954×	`lower-fma.f64`
3 954×	`lower-fma.f32`
2 922×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	116	15180
1	223	14908
2	471	14848
3	1243	14848
4	2590	14848
5	5365	14848
6	7114	14848
0	8607	14608

Stop Event

1×	iter limit
1×	node limit

Counts

1 116 → 1 116

Calls

Call 1

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

rewrite521.0ms (1.5%)

Memory

19.1MiB live, 928.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 954×	`lower-/.f32`
4 938×	`lower-/.f64`
4 782×	`lower-*.f32`
4 754×	`lower-*.f64`
3 312×	`lower-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	59	393
0	100	329
1	296	296
2	1794	284
0	8368	284

Stop Event

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

Counts

29 → 2 417

Calls

Call 1

Inputs
(/.f64 (.f64 (.f64 x (/.f64 #s(literal 1/18 binary64) y)) (sqrt.f64 t)) z)
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) (sqrt.f64 t)) z)))
(acos.f64 (/.f64 (.f64 (.f64 x (/.f64 #s(literal 1/18 binary64) y)) (sqrt.f64 t)) z))
(.f64 (.f64 x (/.f64 #s(literal 1/18 binary64) y)) (sqrt.f64 t))
(.f64 (acos.f64 (.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))))) #s(literal 1/3 binary64))
(acos.f64 (.f64 (sqrt.f64 t) #s(approx (/ ( 3 (/ x (* y 27))) (* z 2)) (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z))))))
(.f64 (sqrt.f64 t) #s(approx (/ ( 3 (/ x (* y 27))) (* z 2)) (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))))
(sqrt.f64 t)
(exp.f64 (log.f64 (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (exp.f64 (log.f64 (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z))))) (sqrt.f64 t))))
(acos.f64 (.f64 (exp.f64 (log.f64 (.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))) (sqrt.f64 t)))
(.f64 (exp.f64 (log.f64 (.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))) (sqrt.f64 t))
(exp.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 9 binary64)))))
(/.f64 (exp.f64 (log.f64 (/.f64 x (.f64 y #s(literal 9 binary64))))) (.f64 z #s(literal 2 binary64)))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (exp.f64 (log.f64 (/.f64 x (.f64 y #s(literal 9 binary64))))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(acos.f64 (.f64 (/.f64 (exp.f64 (log.f64 (/.f64 x (.f64 y #s(literal 9 binary64))))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z)))) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))) #s(literal 2 binary64)))))
(.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z)))) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64))))))
(/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z)))) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))) #s(literal 2 binary64))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))))
(/.f64 #s(literal 1/18 binary64) y)
(/.f64 x (*.f64 y z))
(.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))
(log.f64 (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z))))
(log.f64 (/.f64 x (*.f64 y #s(literal 9 binary64))))
(.f64 (/.f64 (exp.f64 (log.f64 (/.f64 x (.f64 y #s(literal 9 binary64))))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
(PI.f64)
(/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))
(*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 y z) (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) #s(literal -1 binary64)))
(exp.f64 (fma.f64 (log.f64 t) #s(literal 1/2 binary64) (log.f64 (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z))))))
(exp.f64 (+.f64 (log.f64 (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))) (*.f64 (log.f64 t) #s(literal 1/2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 (.f64 (.f64 x (sqrt.f64 t)) #s(literal -1/18 binary64)) (*.f64 y z)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 y (neg.f64 z))) (/.f64 (.f64 (.f64 x (sqrt.f64 t)) #s(literal -1/18 binary64)) (.f64 y z)))
(neg.f64 (/.f64 (.f64 (.f64 x (sqrt.f64 t)) #s(literal -1/18 binary64)) (*.f64 y z)))
(neg.f64 (/.f64 (.f64 (/.f64 x (.f64 y #s(literal 18 binary64))) (neg.f64 (sqrt.f64 t))) z))
(/.f64 (sqrt.f64 t) (.f64 (/.f64 (.f64 y z) x) #s(literal 18 binary64)))
(/.f64 (.f64 (/.f64 #s(literal 1/18 binary64) y) (.f64 x (sqrt.f64 t))) z)
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 y z) (.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (.f64 y z) (.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 y z) x) #s(literal 18 binary64)) (*.f64 (sqrt.f64 t) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 z #s(literal -2 binary64)) (.f64 (sqrt.f64 t) (/.f64 x (*.f64 y #s(literal -9 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 t) (/.f64 x (.f64 z (*.f64 y #s(literal 9 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 y z) x) #s(literal 18 binary64)) (*.f64 #s(literal 1 binary64) (sqrt.f64 t))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 z #s(literal -2 binary64)) (.f64 (/.f64 x (*.f64 y #s(literal -9 binary64))) (sqrt.f64 t))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 (/.f64 x (.f64 z (*.f64 y #s(literal 9 binary64)))) (sqrt.f64 t))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y #s(literal 9 binary64))) z)))
(/.f64 #s(literal 1 binary64) (/.f64 z (.f64 (/.f64 (.f64 x (sqrt.f64 t)) (*.f64 y #s(literal 9 binary64))) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 y z) (.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 z (.f64 (/.f64 x y) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(/.f64 #s(literal 1 binary64) (/.f64 z (.f64 (.f64 (/.f64 #s(literal 1/18 binary64) y) (*.f64 x (sqrt.f64 t))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 y (.f64 x (/.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z))))
(/.f64 #s(literal 1 binary64) (/.f64 y (.f64 (.f64 x #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) z))))
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) z)))
(/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 y z) (.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
(/.f64 (.f64 (.f64 x (sqrt.f64 t)) #s(literal -1/18 binary64)) (*.f64 y (neg.f64 z)))
(/.f64 (.f64 (/.f64 x (.f64 y #s(literal 18 binary64))) (neg.f64 (sqrt.f64 t))) (neg.f64 z))
(/.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y #s(literal 9 binary64))) (*.f64 z #s(literal 2 binary64)))
(/.f64 (neg.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y #s(literal 9 binary64)))) (*.f64 z #s(literal -2 binary64)))
(/.f64 (neg.f64 (sqrt.f64 t)) (neg.f64 (.f64 (/.f64 (.f64 y z) x) #s(literal 18 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 x (sqrt.f64 t)) #s(literal -1/18 binary64))) (neg.f64 (*.f64 y (neg.f64 z))))
(/.f64 (neg.f64 (.f64 (/.f64 x (.f64 y #s(literal 18 binary64))) (neg.f64 (sqrt.f64 t)))) (neg.f64 (neg.f64 z)))
(/.f64 (.f64 (sqrt.f64 t) #s(literal 1 binary64)) (.f64 (/.f64 (*.f64 y z) x) #s(literal 18 binary64)))
(/.f64 (.f64 (sqrt.f64 t) (/.f64 x (.f64 y #s(literal -9 binary64)))) (*.f64 z #s(literal -2 binary64)))
(/.f64 (.f64 (sqrt.f64 t) (/.f64 x (.f64 z (*.f64 y #s(literal 9 binary64))))) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) #s(literal 1 binary64)) (.f64 y z))
(/.f64 (.f64 (/.f64 x y) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) z)
(/.f64 (.f64 (.f64 (/.f64 #s(literal 1/18 binary64) y) (*.f64 x (sqrt.f64 t))) #s(literal 1 binary64)) z)
(/.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 t)) (.f64 (/.f64 (*.f64 y z) x) #s(literal 18 binary64)))
(/.f64 (.f64 (/.f64 x (.f64 y #s(literal -9 binary64))) (sqrt.f64 t)) (*.f64 z #s(literal -2 binary64)))
(/.f64 (.f64 (/.f64 x (.f64 z (*.f64 y #s(literal 9 binary64)))) (sqrt.f64 t)) #s(literal 2 binary64))
(/.f64 (.f64 x (/.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)
(/.f64 (.f64 (.f64 x #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) z)) y)
(/.f64 (/.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y #s(literal 9 binary64))) z) #s(literal 2 binary64))
(/.f64 (.f64 (/.f64 (.f64 x (sqrt.f64 t)) (*.f64 y #s(literal 9 binary64))) #s(literal 1/2 binary64)) z)
(/.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) z) y)
(/.f64 (neg.f64 (neg.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y #s(literal 9 binary64))))) (neg.f64 (*.f64 z #s(literal -2 binary64))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 t) #s(literal 1 binary64))) (neg.f64 (.f64 (/.f64 (*.f64 y z) x) #s(literal 18 binary64))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 t) (/.f64 x (.f64 y #s(literal -9 binary64))))) (neg.f64 (*.f64 z #s(literal -2 binary64))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 t) (/.f64 x (.f64 z (*.f64 y #s(literal 9 binary64)))))) #s(literal -2 binary64))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 t))) (neg.f64 (.f64 (/.f64 (*.f64 y z) x) #s(literal 18 binary64))))
(/.f64 (neg.f64 (.f64 (/.f64 x (.f64 y #s(literal -9 binary64))) (sqrt.f64 t))) (neg.f64 (*.f64 z #s(literal -2 binary64))))
(/.f64 (neg.f64 (.f64 (/.f64 x (.f64 z (*.f64 y #s(literal 9 binary64)))) (sqrt.f64 t))) #s(literal -2 binary64))
(/.f64 (neg.f64 (/.f64 (/.f64 (.f64 x (sqrt.f64 t)) (.f64 y #s(literal 9 binary64))) z)) #s(literal -2 binary64))
(/.f64 (neg.f64 (.f64 (/.f64 (.f64 x (sqrt.f64 t)) (*.f64 y #s(literal 9 binary64))) #s(literal 1/2 binary64))) (neg.f64 z))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 x (sqrt.f64 t)) #s(literal -1/18 binary64)))) (neg.f64 (neg.f64 (*.f64 y (neg.f64 z)))))
(/.f64 (neg.f64 (neg.f64 (.f64 (/.f64 x (.f64 y #s(literal 18 binary64))) (neg.f64 (sqrt.f64 t))))) (neg.f64 (neg.f64 (neg.f64 z))))
(/.f64 (neg.f64 (.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) #s(literal 1 binary64))) (.f64 y (neg.f64 z)))
(/.f64 (neg.f64 (.f64 (/.f64 x y) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) (neg.f64 z))
(/.f64 (neg.f64 (.f64 (.f64 (/.f64 #s(literal 1/18 binary64) y) (*.f64 x (sqrt.f64 t))) #s(literal 1 binary64))) (neg.f64 z))
(/.f64 (neg.f64 (.f64 x (/.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z))) (neg.f64 y))
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(.f64 (/.f64 (/.f64 x (.f64 y #s(literal -9 binary64))) #s(literal -1 binary64)) (/.f64 (sqrt.f64 t) (*.f64 z #s(literal 2 binary64))))
(.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (neg.f64 z)))
(.f64 (/.f64 (neg.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) z) (/.f64 x (neg.f64 y)))
(.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) y))
(.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (neg.f64 z)) (/.f64 (neg.f64 x) y))
(.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (neg.f64 y)) (/.f64 (neg.f64 x) z))
(.f64 (/.f64 (.f64 x (sqrt.f64 t)) (neg.f64 z)) (/.f64 #s(literal -1/18 binary64) y))
(.f64 (/.f64 (.f64 x (sqrt.f64 t)) (neg.f64 y)) (/.f64 #s(literal -1/18 binary64) z))
(.f64 (/.f64 (neg.f64 (sqrt.f64 t)) #s(literal -1 binary64)) (.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))
(.f64 (/.f64 (neg.f64 (/.f64 x (.f64 y #s(literal 18 binary64)))) #s(literal -1 binary64)) (/.f64 (sqrt.f64 t) z))
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
(*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))

eval4.2s (12%)

Memory: 6.7MiB live, 999.6MiB allocated
Compiler: Compiled 127 545 to 9 127 computations (92.8% saved)

prune961.0ms (2.8%)

Memory

-25.2MiB live, 667.2MiB allocated

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	4 256	4	4 260
Fresh	1	0	1
Picked	3	2	5
Done	0	0	0
Total	4 260	6	4 266

Accuracy

100.0%

Counts

4 266 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.3%	(/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))))
✓	98.4%	(.f64 (acos.f64 (.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))))) #s(literal 1/3 binary64))
▶	96.5%	(.f64 #s(literal 1/3 binary64) (pow.f64 (pow.f64 (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
▶	98.8%	(.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z)))) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))) #s(literal 2 binary64))))))
▶	97.4%	(.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (.f64 (log.f64 (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))) #s(literal -1 binary64)))))
✓	98.5%	(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) (sqrt.f64 t)) z)))

Compiler

Compiled 144 to 104 computations (27.8% saved)

simplify280.0ms (0.8%)

Memory

12.7MiB live, 446.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
✓	cost-diff	0	(acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))))
✓	cost-diff	1088	(/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))))
✓	cost-diff	0	(acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))
✓	cost-diff	0	(.f64 #s(literal 1/3 binary64) (pow.f64 (pow.f64 (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
✓	cost-diff	5824	(pow.f64 (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) #s(literal 1/2 binary64))
✓	cost-diff	7104	(pow.f64 (pow.f64 (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 (fma.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z)))) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64))))
✓	cost-diff	128	(.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z)))) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))) #s(literal 2 binary64))))))
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z)))) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)))))
✓	cost-diff	1600	(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
✓	cost-diff	0	(.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (.f64 (log.f64 (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))) #s(literal -1 binary64)))))
✓	cost-diff	192	(.f64 (log.f64 (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z)))) #s(literal -1 binary64))
✓	cost-diff	1408	(/.f64 #s(literal 1 binary64) (exp.f64 (.f64 (log.f64 (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z)))) #s(literal -1 binary64))))
✓	cost-diff	12224	(exp.f64 (.f64 (log.f64 (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z)))) #s(literal -1 binary64)))

Rules

5 542×	`lower-fma.f32`
5 540×	`lower-fma.f64`
5 122×	`lower-*.f32`
5 102×	`lower-*.f64`
2 006×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	513
0	74	492
1	127	485
2	234	463
3	478	463
4	980	463
5	1711	463
6	2185	463
7	3040	463
8	4772	463
9	6306	463
10	7721	463
0	8129	462

Stop Event

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

Calls

Call 1

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

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

localize214.0ms (0.6%)

Memory

31.3MiB live, 387.5MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
✓	accuracy	99.4%	(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
✓	accuracy	98.5%	(/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))))
✓	accuracy	89.3%	(/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
✓	accuracy	98.5%	(pow.f64 (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) #s(literal 1/2 binary64))
✓	accuracy	98.5%	(.f64 #s(literal 1/3 binary64) (pow.f64 (pow.f64 (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
✓	accuracy	98.5%	(pow.f64 (pow.f64 (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
✓	accuracy	89.3%	(/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
✓	accuracy	98.5%	(.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z)))) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))) #s(literal 2 binary64))))))
✓	accuracy	98.4%	(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
✓	accuracy	98.4%	(sqrt.f64 (PI.f64))
✓	accuracy	89.3%	(/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))
✓	accuracy	99.4%	(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
✓	accuracy	98.5%	(.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (.f64 (log.f64 (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))) #s(literal -1 binary64)))))
✓	accuracy	98.5%	(log.f64 (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))))
✓	accuracy	89.3%	(/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))

Samples

103.0ms

256×

valid

Compiler

Compiled 519 to 45 computations (91.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 75.0ms

ival-mult: 32.0ms (42.5% of total)

ival-div: 11.0ms (14.6% of total)

const: 7.0ms (9.3% of total)

ival-sqrt: 5.0ms (6.6% of total)

ival-pow2: 5.0ms (6.6% of total)

ival-exp: 3.0ms (4% of total)

ival-acos: 3.0ms (4% of total)

ival-sub: 3.0ms (4% of total)

ival-log: 3.0ms (4% of total)

ival-asin: 2.0ms (2.7% 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-assert: 0.0ms (0% of total)

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

series260.0ms (0.7%)

Memory

4.9MiB live, 480.1MiB allocated

Counts

20 → 804

Calls

Call 1

Inputs
#<alt (exp.f64 (.f64 (log.f64 (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z)))) #s(literal -1 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (exp.f64 (.f64 (log.f64 (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z)))) #s(literal -1 binary64))))>
#<alt (.f64 (log.f64 (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z)))) #s(literal -1 binary64))>
#<alt (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (.f64 (log.f64 (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))) #s(literal -1 binary64)))))>
#<alt (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z)))) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z)))) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))) #s(literal 2 binary64))))))>
#<alt (/.f64 (fma.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z)))) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64))))>
#<alt (pow.f64 (pow.f64 (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) #s(literal 1/2 binary64)) #s(literal 2 binary64))>
#<alt (pow.f64 (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) #s(literal 1/2 binary64))>
#<alt (.f64 #s(literal 1/3 binary64) (pow.f64 (pow.f64 (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))>
#<alt (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))>
#<alt (/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))))>
#<alt (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))))>
#<alt (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))>
#<alt (log.f64 (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))>
#<alt (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))>
#<alt (sqrt.f64 (PI.f64))>
#<alt (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))>

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

201 calls:

Time	Variable		Point	Expression
45.0ms	y	@	-inf	(* (log (acos (/ (* x (* 1/18 (sqrt t))) (* y z)))) -1)
23.0ms	z	@	-inf	(* (log (acos (/ (* x (* 1/18 (sqrt t))) (* y z)))) -1)
21.0ms	x	@	inf	(* (log (acos (/ (* x (* 1/18 (sqrt t))) (* y z)))) -1)
20.0ms	t	@	-inf	(* (log (acos (/ (* x (* 1/18 (sqrt t))) (* y z)))) -1)
20.0ms	x	@	-inf	(* (log (acos (/ (* x (* 1/18 (sqrt t))) (* y z)))) -1)

simplify327.0ms (0.9%)

Memory

-56.6MiB live, 445.0MiB allocated

Algorithm

1×	egg-herbie

Rules

4 558×	`lower-*.f64`
4 558×	`lower-*.f32`
2 134×	`lower-/.f32`
2 134×	`lower-/.f64`
1 784×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	13108
1	125	12904
2	314	12768
3	1135	12768
4	2431	12768
5	4466	12768
6	6267	12768
0	8211	12576

Stop Event

1×	iter limit
1×	node limit

Counts

804 → 804

Calls

Call 1

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

Outputs
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))
(acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))
(acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))
(acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))
(acos.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))
(* -1 (log (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(neg.f64 (log.f64 (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))))
(* -1 (log (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(neg.f64 (log.f64 (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))))
(* -1 (log (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(neg.f64 (log.f64 (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))))
(* -1 (log (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(neg.f64 (log.f64 (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))))
(* -1 (log (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(neg.f64 (log.f64 (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))))
(* -1 (log (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))
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rewrite4.6s (13.2%)

Memory

54.0MiB live, 1 077.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 160×	`lower-fma.f32`
7 158×	`lower-fma.f64`
4 756×	`lower-*.f32`
4 738×	`lower-*.f64`
3 356×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	42	318
0	74	222
1	234	205
2	1225	205
0	8296	205

Stop Event

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

Counts

20 → 1 757

Calls

Call 1

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

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

eval1.1s (3%)

Memory: 20.4MiB live, 757.3MiB allocated
Compiler: Compiled 151 695 to 7 074 computations (95.3% saved)

prune523.0ms (1.5%)

Memory

-44.1MiB live, 586.0MiB allocated

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	3 624	3	3 627
Fresh	0	0	0
Picked	3	1	4
Done	0	2	2
Total	3 627	6	3 633

Accuracy

100.0%

Counts

3 633 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	97.3%	(/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))))
	97.3%	(/.f64 #s(literal 1/3 binary64) (exp.f64 (neg.f64 (log.f64 (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))))))
✓	98.4%	(.f64 (acos.f64 (.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))))) #s(literal 1/3 binary64))
	98.8%	(.f64 #s(literal 1/3 binary64) (pow.f64 (sqrt.f64 (sqrt.f64 (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z))))) #s(literal 4 binary64)))
	96.5%	(.f64 #s(literal 1/3 binary64) (pow.f64 (sqrt.f64 (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z)))) #s(literal 2 binary64)))
✓	98.5%	(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) (sqrt.f64 t)) z)))

Compiler

Compiled 582 to 231 computations (60.3% saved)

regimes79.0ms (0.2%)

Memory

-8.5MiB live, 147.4MiB allocated

Counts

20 → 1

Calls

Call 1

Inputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z)))))
(.f64 (acos.f64 (.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))))) #s(literal 1/3 binary64))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) (sqrt.f64 t)) z)))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))) (sqrt.f64 t))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(.f64 #s(literal 1/3 binary64) (pow.f64 (sqrt.f64 (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z)))) #s(literal 2 binary64)))
(.f64 #s(literal 1/3 binary64) (pow.f64 (sqrt.f64 (sqrt.f64 (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z))))) #s(literal 4 binary64)))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (exp.f64 (log.f64 (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z))))) (sqrt.f64 t))))
(.f64 #s(literal 1/3 binary64) (pow.f64 (pow.f64 (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1/3 binary64) (exp.f64 (neg.f64 (log.f64 (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (exp.f64 (log.f64 (/.f64 x (.f64 y #s(literal 9 binary64))))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (.f64 (log.f64 (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))) #s(literal -1 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (exp.f64 (.f64 (log.f64 (.f64 z (.f64 (/.f64 #s(literal 2 binary64) (.f64 x #s(literal 1/9 binary64))) y))) #s(literal -1 binary64))) (sqrt.f64 t))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (exp.f64 (.f64 (log.f64 (.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z)))) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64))))))
(.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z)))) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))) #s(literal 2 binary64))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z)))) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 x (sqrt.f64 t))) (.f64 y (.f64 z #s(literal 54 binary64))))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 (asin.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 x (sqrt.f64 t))) (.f64 y (.f64 z #s(literal 54 binary64))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 x (sqrt.f64 t))) (.f64 y (.f64 z #s(literal 54 binary64)))))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))

Outputs

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

Calls

13 calls:

7.0ms	(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))
7.0ms	x
7.0ms	(*.f64 z #s(literal 2 binary64))
7.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
6.0ms	(sqrt.f64 t)

Results

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

Compiler

Compiled 135 to 108 computations (20% saved)

regimes116.0ms (0.3%)

Memory

-1.0MiB live, 114.7MiB allocated

Counts

17 → 1

Calls

Call 1

Inputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (.f64 y z)))))
(.f64 (acos.f64 (.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))))) #s(literal 1/3 binary64))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) (sqrt.f64 t)) z)))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z)))) (sqrt.f64 t))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(.f64 #s(literal 1/3 binary64) (pow.f64 (sqrt.f64 (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z)))) #s(literal 2 binary64)))
(.f64 #s(literal 1/3 binary64) (pow.f64 (sqrt.f64 (sqrt.f64 (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z))))) #s(literal 4 binary64)))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (exp.f64 (log.f64 (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 y z))))) (sqrt.f64 t))))
(.f64 #s(literal 1/3 binary64) (pow.f64 (pow.f64 (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (.f64 y z))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1/3 binary64) (exp.f64 (neg.f64 (log.f64 (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (exp.f64 (log.f64 (/.f64 x (.f64 y #s(literal 9 binary64))))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (.f64 (log.f64 (acos.f64 (/.f64 (.f64 x (.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))) #s(literal -1 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (exp.f64 (.f64 (log.f64 (.f64 z (.f64 (/.f64 #s(literal 2 binary64) (.f64 x #s(literal 1/9 binary64))) y))) #s(literal -1 binary64))) (sqrt.f64 t))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (exp.f64 (.f64 (log.f64 (.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (.f64 y z)))) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64))))))

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

Calls

13 calls:

48.0ms	(/.f64 x (*.f64 y #s(literal 27 binary64)))
9.0ms	t
5.0ms	(sqrt.f64 t)
5.0ms	(*.f64 y #s(literal 27 binary64))
5.0ms	(*.f64 z #s(literal 2 binary64))

Results

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

Compiler

Compiled 135 to 108 computations (20% saved)

regimes41.0ms (0.1%)

Memory

21.3MiB live, 95.7MiB allocated

Counts

8 → 1

Calls

Call 1

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

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

Calls

13 calls:

5.0ms	(/.f64 x (*.f64 y #s(literal 27 binary64)))
4.0ms	z
3.0ms	(*.f64 y #s(literal 27 binary64))
3.0ms	(*.f64 z #s(literal 2 binary64))
3.0ms	(sqrt.f64 t)

Results

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

Compiler

Compiled 135 to 108 computations (20% saved)

regimes30.0ms (0.1%)

Memory

-12.3MiB live, 69.1MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

13 calls:

5.0ms	y
3.0ms	(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))
2.0ms	(*.f64 z #s(literal 2 binary64))
2.0ms	(*.f64 y #s(literal 27 binary64))
2.0ms	t

Results

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

Compiler

Compiled 135 to 108 computations (20% saved)

regimes21.0ms (0.1%)

Memory

11.2MiB live, 50.5MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

13 calls:

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

Results

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

Compiler

Compiled 135 to 108 computations (20% saved)

regimes17.0ms (0%)

Memory

3.2MiB live, 42.7MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

13 calls:

2.0ms	(.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
1.0ms	(*.f64 z #s(literal 2 binary64))
1.0ms	(*.f64 y #s(literal 27 binary64))
1.0ms	t
1.0ms	(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))

Results

Accuracy	Segments	Branch
97.3%	1	`x`
97.3%	1	`y`
97.3%	1	`z`
97.3%	1	`t`
97.3%	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))))`
97.3%	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)))`
97.3%	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))`
97.3%	1	`(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))`
97.3%	1	`(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))`
97.3%	1	`(/.f64 x (*.f64 y #s(literal 27 binary64)))`
97.3%	1	`(*.f64 y #s(literal 27 binary64))`
97.3%	1	`(*.f64 z #s(literal 2 binary64))`
97.3%	1	`(sqrt.f64 t)`

Compiler

Compiled 135 to 108 computations (20% saved)

simplify9.0ms (0%)

Memory

16.6MiB live, 16.6MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	145
1	99	145
2	103	145
3	105	145
4	106	145

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.2s (3.6%)

Memory

-14.0MiB live, 657.3MiB allocated

Rules

7 160×	`lower-fma.f32`
7 158×	`lower-fma.f64`
5 832×	`lower-*.f32`
5 822×	`lower-*.f64`
5 158×	`lower-*.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	50
0	29	50
1	69	42
2	387	36
3	3742	36
0	8214	36
0	61	339
0	98	329
1	221	291
2	1044	265
0	8217	265
0	29	1496
1	61	1484
2	190	1476
3	715	1476
4	2529	1476
5	4417	1476
6	6206	1476
0	8065	1476
0	59	393
0	100	329
1	296	296
2	1794	284
0	8368	284
0	42	318
0	74	222
1	234	205
2	1225	205
0	8296	205

Stop Event

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

Compiler

Compiled 472 to 237 computations (49.8% saved)

preprocess131.0ms (0.4%)

Memory: -19.2MiB live, 189.4MiB allocated
Remove: (sort y z)
Compiler: Compiled 790 to 456 computations (42.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze378.0ms (1.1%)

sample5.7s (16.4%)

preprocess163.0ms (0.5%)

explain230.0ms (0.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify103.0ms (0.3%)

localize51.0ms (0.1%)

series24.0ms (0.1%)

simplify215.0ms (0.6%)

rewrite605.0ms (1.7%)

eval84.0ms (0.2%)

prune105.0ms (0.3%)

simplify622.0ms (1.8%)

localize276.0ms (0.8%)

series396.0ms (1.1%)

simplify275.0ms (0.8%)

rewrite656.0ms (1.9%)

eval946.0ms (2.7%)

prune8.0s (22.9%)

simplify288.0ms (0.8%)

localize277.0ms (0.8%)

series418.0ms (1.2%)

simplify369.0ms (1.1%)

rewrite521.0ms (1.5%)

eval4.2s (12%)

prune961.0ms (2.8%)

simplify280.0ms (0.8%)

localize214.0ms (0.6%)

series260.0ms (0.7%)

simplify327.0ms (0.9%)

rewrite4.6s (13.2%)

eval1.1s (3%)

prune523.0ms (1.5%)

regimes79.0ms (0.2%)

regimes116.0ms (0.3%)

regimes41.0ms (0.1%)

regimes30.0ms (0.1%)

regimes21.0ms (0.1%)

regimes17.0ms (0%)

simplify9.0ms (0%)

soundness1.2s (3.6%)

preprocess131.0ms (0.4%)

end0.0ms (0%)

Profiling