Metrics for Diagrams.Solve.Tridiagonal:solveCyclicTriDiagonal from diagrams-solve-0.1, A

analyze35.0ms (0.9%)

Memory

2.1MiB live, 77.0MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
50%	49.9%	49.9%	0.1%	0%	0%	0%	4
50%	49.9%	49.9%	0.1%	0%	0%	0%	5
50%	49.9%	49.9%	0.1%	0%	0%	0%	6
75%	74.9%	25%	0.1%	0%	0%	0%	7
75%	74.9%	25%	0.1%	0%	0%	0%	8
75%	74.9%	25%	0.1%	0%	0%	0%	9
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	10
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	11
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	12

Compiler

Compiled 7 to 7 computations (0% saved)

sample716.0ms (19.3%)

Memory

-8.8MiB live, 1 224.0MiB allocated

Samples

418.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 228.0ms

ival-div: 143.0ms (62.8% of total)

ival-mult: 76.0ms (33.4% of total)

ival-true: 6.0ms (2.6% of total)

ival-assert: 3.0ms (1.3% of total)

Bogosity

preprocess57.0ms (1.5%)

Memory

31.0MiB live, 68.4MiB allocated

Algorithm

1×	egg-herbie

Rules

818×	`times-frac`
190×	`distribute-lft-in`
186×	`associate-*r/`
186×	`associate-/r*`
180×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	56
1	59	48
2	146	48
3	490	48
4	1227	48
5	1922	48
6	1976	48
7	1994	48
8	2034	48
9	2058	48
0	5	5
0	7	5
1	10	5
2	13	5
3	14	5
0	14	5

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (*.f64 x y) z)

Outputs
(/.f64 (*.f64 x y) z)

Symmetry

(negabs z)

(negabs y)

(negabs x)

(sort x y)

explain95.0ms (2.6%)

Memory

-9.7MiB live, 101.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
18	1	(1.1378029386615568e-303 1.7157651643216633e-91 8.509326952926773e-72)	1	(1.5341583767419332e-254 1.8210518621324594e-59 8.240508150440431e-27)	`(/.f64 (*.f64 x y) z)`
0	0	-	0	-	`y`
0	0	-	0	-	`z`
0	0	-	0	-	`(*.f64 x y)`
0	0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (*.f64 x y) z)`	u/n	11	0
↳	`(*.f64 x y)`	underflow	32
`/.f64`	`(/.f64 (*.f64 x y) z)`	o/n	7	0
↳	`(*.f64 x y)`	overflow	35

Confusion

	Predicted +	Predicted -
+	17	1
-	1	237

Precision

0.9444444444444444

Recall

0.9444444444444444

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	17	0	1
-	1	0	237

Precision?

0.9444444444444444

Recall?

0.9444444444444444

Freqs

test

number	freq
0	238
1	18

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

61.0ms

512×

valid

Compiler

Compiled 42 to 24 computations (42.9% saved)

Precisions

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

ival-mult: 26.0ms (53.6% of total)

ival-div: 22.0ms (45.4% of total)

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

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

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	93.8%	(/.f64 (*.f64 x y) z)

Compiler

Compiled 8 to 5 computations (37.5% saved)

simplify5.0ms (0.1%)

Memory

8.3MiB live, 8.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(/.f64 (*.f64 x y) z)

Rules

12×	`lower-*.f32`
10×	`lower-*.f64`
6×	`*-commutative`
6×	`lower-/.f32`
4×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	11
0	7	11
1	10	11
2	13	11
3	14	11
0	14	11

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (*.f64 x y) z)
(*.f64 x y)
x
y
z

Outputs
(/.f64 (*.f64 x y) z)
(*.f64 x y)
x
y
z

localize17.0ms (0.5%)

Memory

-8.4MiB live, 29.2MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	93.8%	(/.f64 (*.f64 x y) z)

Samples

12.0ms

256×

valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-div: 2.0ms (45.3% of total)

ival-mult: 2.0ms (45.3% of total)

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

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

series6.0ms (0.2%)

Memory

15.1MiB live, 15.1MiB allocated

Counts

2 → 60

Calls

Call 1

Inputs
#<alt (/.f64 (*.f64 x y) z)>
#<alt (*.f64 x y)>

Outputs
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(* x y)
1.0ms	y	@	0	(/ (* x y) z)
1.0ms	x	@	0	(/ (* x y) z)
1.0ms	x	@	inf	(/ (* x y) z)
0.0ms	z	@	0	(/ (* x y) z)

rewrite104.0ms (2.8%)

Memory

-4.5MiB live, 171.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

1 066×	`lower-*.f32`
1 064×	`lower-*.f64`
848×	`lower-/.f32`
846×	`lower-/.f64`
234×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
0	7	8
1	18	8
2	71	8
3	361	8
0	2367	8

Stop Event

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

Counts

2 → 132

Calls

Call 1

Inputs
(/.f64 (*.f64 x y) z)
(*.f64 x y)

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

simplify12.0ms (0.3%)

Memory

-21.6MiB live, 23.2MiB allocated

Algorithm

1×	egg-herbie

Rules

12×	`lower-*.f64`
12×	`lower-*.f32`
6×	`*-commutative`
6×	`lower-/.f32`
6×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	252
1	8	252
2	11	252
3	12	252
0	12	252

Stop Event

1×	iter limit
1×	saturated

Counts

60 → 60

Calls

Call 1

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

Outputs
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)

eval20.0ms (0.5%)

Memory: 9.8MiB live, 48.2MiB allocated
Compiler: Compiled 1 786 to 295 computations (83.5% saved)

prune22.0ms (0.6%)

Memory

-10.6MiB live, 66.0MiB allocated

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	186	6	192
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	186	7	193

Accuracy

100.0%

Counts

193 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	93.8%	(/.f64 (*.f64 x y) z)
▶	92.7%	(/.f64 y (/.f64 z x))
▶	92.6%	(/.f64 x (/.f64 z y))
▶	92.1%	(*.f64 (/.f64 y z) x)
▶	93.5%	(*.f64 (/.f64 x z) y)
	93.6%	(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x (/.f64 #s(literal 1 binary64) y)))
▶	93.7%	(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 x y))

Compiler

Compiled 116 to 75 computations (35.3% saved)

simplify7.0ms (0.2%)

Memory

16.2MiB live, 16.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 z x)
✓	cost-diff	384	(/.f64 y (/.f64 z x))
✓	cost-diff	0	(/.f64 z y)
✓	cost-diff	384	(/.f64 x (/.f64 z y))
✓	cost-diff	0	(/.f64 y z)
✓	cost-diff	0	(*.f64 (/.f64 y z) x)
✓	cost-diff	0	(/.f64 x z)
✓	cost-diff	0	(*.f64 (/.f64 x z) y)
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) z)
✓	cost-diff	320	(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 x y))

Rules

52×	`lower-*.f32`
44×	`lower-*.f64`
30×	`associate-r`
26×	`lower-/.f32`
20×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	61
0	26	69
1	38	59
2	53	59
3	77	59
4	89	59
5	97	59
0	97	59

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize54.0ms (1.5%)

Memory

4.4MiB live, 120.0MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 z x)
✓	accuracy	92.7%	(/.f64 y (/.f64 z x))
✓	accuracy	100.0%	(/.f64 z y)
✓	accuracy	92.6%	(/.f64 x (/.f64 z y))
✓	accuracy	100.0%	(/.f64 y z)
✓	accuracy	92.1%	(*.f64 (/.f64 y z) x)
✓	accuracy	100.0%	(/.f64 x z)
✓	accuracy	93.5%	(*.f64 (/.f64 x z) y)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) z)
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	93.7%	(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 x y))

Samples

38.0ms

256×

valid

Compiler

Compiled 63 to 17 computations (73% saved)

Precisions

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

ival-div: 14.0ms (71.1% of total)

ival-mult: 5.0ms (25.4% of total)

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

exact: 0.0ms (0% of total)

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

series13.0ms (0.3%)

Memory

-10.9MiB live, 26.3MiB allocated

Counts

11 → 312

Calls

Call 1

Inputs
#<alt (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 x y))>
#<alt (/.f64 #s(literal 1 binary64) z)>
#<alt (*.f64 x y)>
#<alt (*.f64 (/.f64 x z) y)>
#<alt (/.f64 x z)>
#<alt (*.f64 (/.f64 y z) x)>
#<alt (/.f64 y z)>
#<alt (/.f64 x (/.f64 z y))>
#<alt (/.f64 z y)>
#<alt (/.f64 y (/.f64 z x))>
#<alt (/.f64 z x)>

Outputs
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>

Calls

78 calls:

Time	Variable		Point	Expression
3.0ms	z	@	0	(/ z y)
2.0ms	y	@	0	(/ z y)
0.0ms	x	@	-inf	(/ x z)
0.0ms	z	@	-inf	(/ z y)
0.0ms	z	@	-inf	(/ z x)

rewrite315.0ms (8.5%)

Memory

14.8MiB live, 379.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

2 696×	`lower-*.f32`
2 688×	`lower-*.f64`
1 776×	`lower--.f32`
1 776×	`lower--.f64`
1 758×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	45
0	26	53
1	70	43
2	286	43
3	1391	43
4	5451	43
0	8553	43

Stop Event

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

Counts

11 → 845

Calls

Call 1

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

Outputs
(+.f64 #s(literal 0 binary64) (*.f64 y (/.f64 x z)))
(+.f64 (.f64 (neg.f64 (/.f64 x z)) #s(literal 0 binary64)) (.f64 y (/.f64 x z)))
(+.f64 (.f64 (/.f64 (neg.f64 y) z) #s(literal 0 binary64)) (.f64 y (/.f64 x z)))
(exp.f64 (log.f64 (*.f64 y (/.f64 x z))))
(exp.f64 (.f64 (log.f64 (.f64 y (/.f64 x z))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 y (/.f64 x z)) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 z (.f64 x y)) (/.f64 z (.f64 x y)))) #s(literal -1/2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 y (/.f64 x z))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 z (*.f64 x y))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 z (*.f64 x y))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 y (neg.f64 x)) z))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 (*.f64 y (neg.f64 x)) z))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 (*.f64 y (neg.f64 x)) z))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (.f64 x y))) (/.f64 (.f64 y (neg.f64 x)) z))
(fma.f64 (neg.f64 (/.f64 x z)) #s(literal 0 binary64) (*.f64 y (/.f64 x z)))
(fma.f64 (/.f64 (neg.f64 y) z) #s(literal 0 binary64) (*.f64 y (/.f64 x z)))
(neg.f64 (/.f64 (*.f64 y (neg.f64 x)) z))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y)))
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(/.f64 x (/.f64 z y))
(/.f64 y (/.f64 z x))
(/.f64 (*.f64 x y) z)
(/.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) y))
(/.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 y (/.f64 x z)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 z (*.f64 y (neg.f64 x))))
(/.f64 (neg.f64 x) (/.f64 z (neg.f64 y)))
(/.f64 (neg.f64 y) (/.f64 z (neg.f64 x)))
(/.f64 (*.f64 y (neg.f64 x)) (neg.f64 z))
(/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) (*.f64 x y)))
(/.f64 (neg.f64 (/.f64 x z)) (/.f64 #s(literal -1 binary64) y))
(/.f64 (/.f64 (*.f64 y (neg.f64 x)) z) #s(literal -1 binary64))
(/.f64 (/.f64 (neg.f64 y) z) (/.f64 #s(literal -1 binary64) x))
(/.f64 (neg.f64 (.f64 x (.f64 x x))) (.f64 (/.f64 z (neg.f64 y)) (.f64 x x)))
(/.f64 (neg.f64 (.f64 y (.f64 y y))) (.f64 (/.f64 z (neg.f64 x)) (.f64 y y)))
(/.f64 (neg.f64 (.f64 x x)) (.f64 (/.f64 z (neg.f64 y)) x))
(/.f64 (neg.f64 (.f64 y y)) (.f64 (/.f64 z (neg.f64 x)) y))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 z (.f64 y (neg.f64 x)))) (/.f64 z (neg.f64 y))) (.f64 (/.f64 z (neg.f64 y)) (/.f64 z (.f64 y (neg.f64 x)))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 z (.f64 y (neg.f64 x)))) (/.f64 z (neg.f64 x))) (.f64 (/.f64 z (neg.f64 x)) (/.f64 z (.f64 y (neg.f64 x)))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 z (neg.f64 y))) (.f64 (/.f64 z (neg.f64 y)) x)) (/.f64 (*.f64 z (/.f64 z y)) y))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 z (neg.f64 x))) (.f64 (/.f64 z (neg.f64 y)) y)) (*.f64 (/.f64 z (neg.f64 y)) (/.f64 z (neg.f64 x))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 z (neg.f64 y)) (/.f64 x z))) (.f64 (/.f64 z (neg.f64 y)) (/.f64 #s(literal -1 binary64) y)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 z (neg.f64 y)) (/.f64 y z))) (/.f64 z (.f64 x y)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 z (neg.f64 y)) (neg.f64 x))) (.f64 (/.f64 z (neg.f64 y)) (/.f64 z y)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 z (neg.f64 y)) (neg.f64 y))) (.f64 (/.f64 z (neg.f64 y)) (/.f64 z x)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 z (neg.f64 y)) (neg.f64 (/.f64 x z)))) (.f64 (/.f64 z (neg.f64 y)) (/.f64 #s(literal 1 binary64) y)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 z (neg.f64 y)) (/.f64 (neg.f64 y) z))) (/.f64 z (.f64 y (neg.f64 x))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 z (neg.f64 y)) (.f64 y (neg.f64 x)))) (*.f64 (/.f64 z (neg.f64 y)) z))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 z)) (.f64 (/.f64 z (neg.f64 y)) (.f64 x y))) (.f64 (/.f64 z (neg.f64 y)) (neg.f64 z)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 z (neg.f64 y))) (.f64 (/.f64 z (neg.f64 x)) x)) (*.f64 (/.f64 z (neg.f64 x)) (/.f64 z (neg.f64 y))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 z (neg.f64 x))) (.f64 (/.f64 z (neg.f64 x)) y)) (/.f64 (*.f64 z (/.f64 z x)) x))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 z (neg.f64 x)) (/.f64 x z))) (/.f64 z (.f64 x y)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 z (neg.f64 x)) (/.f64 y z))) (.f64 (/.f64 z (neg.f64 x)) (/.f64 #s(literal -1 binary64) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 z (neg.f64 x)) (neg.f64 x))) (.f64 (/.f64 z (neg.f64 x)) (/.f64 z y)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 z (neg.f64 x)) (neg.f64 y))) (.f64 (/.f64 z (neg.f64 x)) (/.f64 z x)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 z (neg.f64 x)) (neg.f64 (/.f64 x z)))) (/.f64 z (.f64 y (neg.f64 x))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 z (neg.f64 x)) (/.f64 (neg.f64 y) z))) (.f64 (/.f64 z (neg.f64 x)) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 z (neg.f64 x)) (.f64 y (neg.f64 x)))) (*.f64 (/.f64 z (neg.f64 x)) z))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 z)) (.f64 (/.f64 z (neg.f64 x)) (.f64 x y))) (.f64 (/.f64 z (neg.f64 x)) (neg.f64 z)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 z (.f64 y (neg.f64 x))) #s(literal -3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (.f64 y (neg.f64 x)) z) (/.f64 (.f64 y (neg.f64 x)) z) (.f64 #s(literal 0 binary64) (/.f64 (*.f64 y (neg.f64 x)) z)))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 (.f64 y (neg.f64 x)) z) (/.f64 (.f64 y (neg.f64 x)) z))) (/.f64 (.f64 y (neg.f64 x)) z))
(/.f64 (.f64 (neg.f64 (.f64 x (.f64 x x))) (/.f64 (neg.f64 y) z)) (.f64 x x))
(/.f64 (.f64 (neg.f64 (.f64 x x)) (/.f64 (neg.f64 y) z)) x)
(/.f64 (.f64 (neg.f64 (.f64 y (.f64 y y))) (neg.f64 (/.f64 x z))) (.f64 y y))
(/.f64 (.f64 (neg.f64 (.f64 y y)) (neg.f64 (/.f64 x z))) y)
(pow.f64 (*.f64 y (/.f64 x z)) #s(literal 1 binary64))
(pow.f64 (/.f64 z (*.f64 x y)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (/.f64 z (.f64 x y)) (/.f64 z (*.f64 x y))) #s(literal -1/2 binary64))
(.f64 #s(literal 1 binary64) (.f64 y (/.f64 x z)))
(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 x y))
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(.f64 (.f64 x y) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 x z) y)
(*.f64 (/.f64 y z) x)
(.f64 (.f64 y (/.f64 x z)) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (/.f64 (.f64 y (neg.f64 x)) z))
(*.f64 (neg.f64 x) (/.f64 (neg.f64 y) z))
(*.f64 (neg.f64 y) (neg.f64 (/.f64 x z)))
(.f64 (.f64 y (neg.f64 x)) (/.f64 #s(literal -1 binary64) z))
(.f64 (/.f64 #s(literal -1 binary64) z) (.f64 y (neg.f64 x)))
(.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x y))))
(.f64 (pow.f64 z #s(literal -1/2 binary64)) (.f64 (*.f64 x y) (pow.f64 z #s(literal -1/2 binary64))))
(.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x y))))
(.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 (.f64 x (pow.f64 z #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) y)))
(.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 (.f64 y (pow.f64 z #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) x)))
(.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 (.f64 (*.f64 x y) (pow.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (neg.f64 (/.f64 x z)) (neg.f64 y))
(.f64 (/.f64 (.f64 y (neg.f64 x)) z) #s(literal -1 binary64))
(*.f64 (/.f64 (neg.f64 y) z) (neg.f64 x))
(.f64 (.f64 x (pow.f64 z #s(literal -1/2 binary64))) (*.f64 y (pow.f64 z #s(literal -1/2 binary64))))
(.f64 (.f64 y (pow.f64 z #s(literal -1/2 binary64))) (*.f64 x (pow.f64 z #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (/.f64 x z) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (/.f64 x z) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y)))
(.f64 (pow.f64 (.f64 y (/.f64 x z)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 y (/.f64 x z)) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 z y) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (/.f64 z y) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(.f64 (.f64 (*.f64 x y) (pow.f64 z #s(literal -1/2 binary64))) (pow.f64 z #s(literal -1/2 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) z))
(exp.f64 (neg.f64 (log.f64 z)))
(exp.f64 (.f64 (.f64 (log.f64 z) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 z)) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 z)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) (log.f64 z)))
(exp.f64 (.f64 (.f64 (*.f64 (log.f64 z) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal 2 binary64) (log.f64 z)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) z))
(neg.f64 (/.f64 #s(literal -1 binary64) z))
(/.f64 #s(literal 1 binary64) z)
(/.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 z))
(/.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 z) #s(literal -3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) z) #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) z))) (+.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) z)))
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 z))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64))))
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 z))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) #s(literal 0 binary64))))
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 z))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (+.f64 (log.f64 #s(literal -1 binary64)) #s(literal 0 binary64))))
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 z)))))
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 z))) (pow.f64 z #s(literal 1/2 binary64)))
(pow.f64 z #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(pow.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 z z) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 z #s(literal -1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 z))
(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) (log.f64 z))
(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (log.f64 z)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))
(*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (pow.f64 z #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 z))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64))))
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 z))))
(+.f64 (.f64 #s(literal 0 binary64) (neg.f64 x)) (.f64 x y))
(+.f64 (.f64 #s(literal 0 binary64) (neg.f64 y)) (.f64 x y))
(+.f64 (.f64 (neg.f64 y) #s(literal 0 binary64)) (.f64 x y))
(+.f64 (.f64 (neg.f64 x) #s(literal 0 binary64)) (.f64 x y))
(exp.f64 (.f64 (neg.f64 (log.f64 (.f64 x y))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 y (neg.f64 x)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) y)) (*.f64 y (neg.f64 x)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 y (neg.f64 x)))
(fma.f64 #s(literal 0 binary64) (neg.f64 x) (*.f64 x y))
(fma.f64 #s(literal 0 binary64) (neg.f64 y) (*.f64 x y))
(fma.f64 (neg.f64 x) #s(literal 0 binary64) (*.f64 x y))
(fma.f64 (neg.f64 y) #s(literal 0 binary64) (*.f64 x y))
(neg.f64 (*.f64 y (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(/.f64 x (/.f64 #s(literal 1 binary64) y))
(/.f64 y (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x y) #s(literal 1 binary64))
(/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y))
(/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 y (neg.f64 x)) #s(literal -1 binary64))
(/.f64 (neg.f64 (.f64 x (.f64 x x))) (.f64 (/.f64 #s(literal -1 binary64) y) (.f64 x x)))
(/.f64 (neg.f64 (.f64 y (.f64 y y))) (.f64 (/.f64 #s(literal -1 binary64) x) (.f64 y y)))
(/.f64 (neg.f64 (.f64 x x)) (.f64 (/.f64 #s(literal -1 binary64) y) x))
(/.f64 (neg.f64 (.f64 y y)) (.f64 (/.f64 #s(literal -1 binary64) x) y))
(/.f64 (.f64 (neg.f64 (.f64 y (.f64 y y))) (neg.f64 x)) (.f64 y y))
(/.f64 (.f64 (neg.f64 (.f64 y y)) (neg.f64 x)) y)
(/.f64 (.f64 (neg.f64 (.f64 x (.f64 x x))) (neg.f64 y)) (.f64 x x))
(/.f64 (.f64 (neg.f64 (.f64 x x)) (neg.f64 y)) x)
(pow.f64 (*.f64 x y) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(.f64 #s(literal 1 binary64) (.f64 x y))
(*.f64 x y)
(*.f64 y x)
(.f64 (.f64 x y) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (.f64 y (neg.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 y))
(*.f64 (neg.f64 y) (neg.f64 x))
(.f64 (.f64 y (neg.f64 x)) #s(literal -1 binary64))
(.f64 (pow.f64 (.f64 x y) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x y) #s(literal 1/2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 y (/.f64 x z)))
(+.f64 (.f64 (neg.f64 (/.f64 x z)) #s(literal 0 binary64)) (.f64 y (/.f64 x z)))
(+.f64 (.f64 (/.f64 (neg.f64 y) z) #s(literal 0 binary64)) (.f64 y (/.f64 x z)))
(exp.f64 (log.f64 (*.f64 y (/.f64 x z))))
(exp.f64 (.f64 (log.f64 (.f64 y (/.f64 x z))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 y (/.f64 x z)) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 z (.f64 x y)) (/.f64 z (.f64 x y)))) #s(literal -1/2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 y (/.f64 x z))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 z (*.f64 x y))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 z (*.f64 x y))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 y (neg.f64 x)) z))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 (*.f64 y (neg.f64 x)) z))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 (*.f64 y (neg.f64 x)) z))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (.f64 x y))) (/.f64 (.f64 y (neg.f64 x)) z))
(fma.f64 (neg.f64 (/.f64 x z)) #s(literal 0 binary64) (*.f64 y (/.f64 x z)))
(fma.f64 (/.f64 (neg.f64 y) z) #s(literal 0 binary64) (*.f64 y (/.f64 x z)))
(neg.f64 (/.f64 (*.f64 y (neg.f64 x)) z))
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(.f64 (.f64 x (pow.f64 z #s(literal -1/2 binary64))) (*.f64 y (pow.f64 z #s(literal -1/2 binary64))))
(.f64 (.f64 y (pow.f64 z #s(literal -1/2 binary64))) (*.f64 x (pow.f64 z #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (/.f64 x z) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (/.f64 x z) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y)))
(.f64 (pow.f64 (.f64 y (/.f64 x z)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 y (/.f64 x z)) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 z y) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (/.f64 z y) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(.f64 (.f64 (*.f64 x y) (pow.f64 z #s(literal -1/2 binary64))) (pow.f64 z #s(literal -1/2 binary64)))
(+.f64 (/.f64 z x) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (/.f64 z x))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 0 binary64)) (/.f64 z x))
(exp.f64 (log.f64 (/.f64 z x)))
(exp.f64 (*.f64 (log.f64 (/.f64 z x)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 x z))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 x z) (/.f64 x z))) #s(literal -1/2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 x z)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 z x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 x z)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 z (neg.f64 x)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) z)) (/.f64 z (neg.f64 x)))
(fma.f64 #s(literal 1 binary64) (/.f64 z x) #s(literal 0 binary64))
(fma.f64 z (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(fma.f64 (/.f64 z x) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 z (neg.f64 x)) #s(literal 0 binary64))
(fma.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) x) #s(literal 0 binary64))
(fma.f64 (/.f64 z (neg.f64 x)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) z #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 0 binary64) (/.f64 z x))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 z) #s(literal 0 binary64))
(fma.f64 (pow.f64 z #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal -1/2 binary64)))) #s(literal 0 binary64))
(fma.f64 (pow.f64 z #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal -1/2 binary64)))) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 z #s(literal 1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal -1/2 binary64)))) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal -1/2 binary64)))) (pow.f64 z #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 x z) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x z) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 x z) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (/.f64 x z) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) z)) #s(literal 0 binary64))
(neg.f64 (/.f64 z (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 x z))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal -1/2 binary64))))))
(/.f64 z x)
(/.f64 x (*.f64 (neg.f64 x) (neg.f64 (/.f64 x z))))
(/.f64 (/.f64 z x) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x z)))
(/.f64 (neg.f64 z) (neg.f64 x))
(/.f64 (neg.f64 x) (*.f64 (neg.f64 x) (/.f64 x z)))
(/.f64 (/.f64 z (neg.f64 x)) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) z))
(/.f64 (pow.f64 z #s(literal 1/2 binary64)) (*.f64 x (pow.f64 z #s(literal -1/2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal -1/2 binary64)))) (pow.f64 z #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (/.f64 (.f64 z (.f64 z z)) (.f64 x (.f64 x x)))) (neg.f64 (/.f64 (*.f64 z (/.f64 z x)) x)))
(/.f64 (neg.f64 (/.f64 (.f64 z (.f64 z z)) (.f64 x (.f64 x x)))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 z (/.f64 z x)) x)))
(/.f64 (neg.f64 (.f64 z (.f64 z z))) (.f64 (neg.f64 x) (.f64 z z)))
(/.f64 (neg.f64 (/.f64 (*.f64 z (/.f64 z x)) x)) (/.f64 z (neg.f64 x)))
(/.f64 (neg.f64 (.f64 z z)) (.f64 (neg.f64 x) z))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 x)) (.f64 (neg.f64 x) z)) (*.f64 x x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (/.f64 z x))) x)
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (neg.f64 x) (neg.f64 z))) (.f64 (neg.f64 x) x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (/.f64 z (neg.f64 x)))) (neg.f64 x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) x))) (/.f64 x z))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x))) (neg.f64 (/.f64 x z)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (.f64 z (/.f64 z x)) x)) (.f64 (neg.f64 x) (neg.f64 (/.f64 (.f64 z (.f64 z z)) (.f64 x (.f64 x x)))))) (.f64 (neg.f64 x) (/.f64 (*.f64 z (/.f64 z x)) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (neg.f64 x) (neg.f64 (/.f64 (.f64 z (/.f64 z x)) x)))) (*.f64 (neg.f64 x) (/.f64 z x)))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal -1/2 binary64))))) (neg.f64 (pow.f64 z #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (.f64 z (.f64 z z)) (.f64 x (.f64 x x))))) (/.f64 (*.f64 z (/.f64 z x)) x))
(/.f64 (neg.f64 (neg.f64 (/.f64 (*.f64 z (/.f64 z x)) x))) (/.f64 z x))
(/.f64 (+.f64 #s(literal 0 binary64) (/.f64 (.f64 z (.f64 z z)) (.f64 x (.f64 x x)))) (+.f64 #s(literal 0 binary64) (-.f64 (/.f64 (*.f64 z (/.f64 z x)) x) #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 z (neg.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 z x) (/.f64 z x) (*.f64 #s(literal 0 binary64) (/.f64 z (neg.f64 x))))))
(/.f64 (*.f64 (pow.f64 z #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x)) (pow.f64 z #s(literal -1/2 binary64)))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x (pow.f64 z #s(literal -1/2 binary64)))) #s(literal 1 binary64)) (pow.f64 z #s(literal -1/2 binary64)))
(/.f64 (.f64 (neg.f64 (.f64 z (.f64 z z))) (/.f64 #s(literal -1 binary64) x)) (.f64 z z))
(/.f64 (.f64 (neg.f64 (.f64 z z)) (/.f64 #s(literal -1 binary64) x)) z)
(pow.f64 (/.f64 x z) #s(literal -1 binary64))
(pow.f64 (/.f64 z x) #s(literal 1 binary64))
(pow.f64 (/.f64 (*.f64 z (/.f64 z x)) x) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (/.f64 x z) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 x z) #s(literal 1/2 binary64)) #s(literal -2 binary64))
(pow.f64 (*.f64 (/.f64 x z) (/.f64 x z)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal -1/2 binary64))))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 z x))
(*.f64 z (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 z x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 z (neg.f64 x)))
(*.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 z (neg.f64 x)) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) z)
(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 z))
(.f64 (pow.f64 z #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x (pow.f64 z #s(literal -1/2 binary64)))))
(.f64 (pow.f64 z #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x (pow.f64 z #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(.f64 (pow.f64 z #s(literal 1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (pow.f64 z #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x (pow.f64 z #s(literal -1/2 binary64)))) (pow.f64 z #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 x z) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x z) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 x z) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (/.f64 x z) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) z)))

simplify21.0ms (0.6%)

Memory

-23.4MiB live, 54.6MiB allocated

Algorithm

1×	egg-herbie

Rules

12×	`lower-*.f64`
12×	`lower-/.f32`
12×	`lower-/.f64`
12×	`lower-*.f32`
6×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	1296
1	15	1296
2	17	1296
3	18	1296
0	18	1296

Stop Event

1×	iter limit
1×	saturated

Counts

312 → 312

Calls

Call 1

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

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

eval114.0ms (3.1%)

Memory: 25.7MiB live, 294.6MiB allocated
Compiler: Compiled 11 753 to 1 199 computations (89.8% saved)

prune241.0ms (6.5%)

Memory

-61.3MiB live, 140.6MiB allocated

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	1 155	2	1 157
Fresh	1	0	1
Picked	0	5	5
Done	0	1	1
Total	1 156	8	1 164

Accuracy

100.0%

Counts

1 164 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	93.8%	(/.f64 (*.f64 x y) z)
✓	92.7%	(/.f64 y (/.f64 z x))
▶	63.3%	(/.f64 x (/.f64 (neg.f64 (.f64 z z)) (.f64 (neg.f64 y) z)))
✓	92.6%	(/.f64 x (/.f64 z y))
▶	92.6%	(/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) z))
✓	92.1%	(*.f64 (/.f64 y z) x)
✓	93.5%	(*.f64 (/.f64 x z) y)
✓	93.7%	(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 x y))

Compiler

Compiled 74 to 48 computations (35.1% saved)

simplify290.0ms (7.8%)

Memory

21.8MiB live, 252.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 z z)
✓	cost-diff	0	(neg.f64 (*.f64 z z))
✓	cost-diff	384	(/.f64 x (/.f64 (neg.f64 (.f64 z z)) (.f64 (neg.f64 y) z)))
✓	cost-diff	896	(/.f64 (neg.f64 (.f64 z z)) (.f64 (neg.f64 y) z))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) y)
✓	cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) y) z)
✓	cost-diff	384	(/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) z))

Rules

5 048×	`lower-*.f32`
5 042×	`lower-*.f64`
2 674×	`lower-fma.f64`
2 674×	`lower-fma.f32`
1 466×	`cube-prod`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	55
0	22	47
1	46	39
2	143	39
3	724	39
4	2728	39
5	4361	39
6	5601	39
7	6195	39
8	6516	39
9	6970	39
10	7809	39
0	8378	39

Stop Event

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

Calls

Call 1

Inputs
(/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) z))
x
(*.f64 (/.f64 #s(literal 1 binary64) y) z)
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
z
(/.f64 x (/.f64 (neg.f64 (.f64 z z)) (.f64 (neg.f64 y) z)))
x
(/.f64 (neg.f64 (.f64 z z)) (.f64 (neg.f64 y) z))
(neg.f64 (*.f64 z z))
(*.f64 z z)
z
(*.f64 (neg.f64 y) z)
(neg.f64 y)
y

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

localize84.0ms (2.3%)

Memory

-15.9MiB live, 66.3MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(neg.f64 (*.f64 z z))
✓	accuracy	100.0%	(neg.f64 y)
✓	accuracy	92.6%	(/.f64 x (/.f64 (neg.f64 (.f64 z z)) (.f64 (neg.f64 y) z)))
✓	accuracy	67.0%	(/.f64 (neg.f64 (.f64 z z)) (.f64 (neg.f64 y) z))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	99.6%	(*.f64 (/.f64 #s(literal 1 binary64) y) z)
✓	accuracy	92.6%	(/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) z))

Samples

48.0ms

256×

valid

Compiler

Compiled 57 to 15 computations (73.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-div: 7.0ms (51.3% of total)

ival-mult: 4.0ms (29.3% of total)

ival-neg: 2.0ms (14.7% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

8.6MiB live, 8.6MiB allocated

Counts

8 → 168

Calls

Call 1

Inputs
#<alt (/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) z))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) y) z)>
#<alt (/.f64 #s(literal 1 binary64) y)>
#<alt (/.f64 (neg.f64 (.f64 z z)) (.f64 (neg.f64 y) z))>
#<alt (/.f64 x (/.f64 (neg.f64 (.f64 z z)) (.f64 (neg.f64 y) z)))>
#<alt (neg.f64 (*.f64 z z))>
#<alt (*.f64 z z)>
#<alt (neg.f64 y)>

Outputs
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (* -1 (pow z 2))>
#<alt (* -1 (pow z 2))>
#<alt (* -1 (pow z 2))>
#<alt (* -1 (pow z 2))>
#<alt (* -1 (pow z 2))>
#<alt (* -1 (pow z 2))>
#<alt (* -1 (pow z 2))>
#<alt (* -1 (pow z 2))>
#<alt (* -1 (pow z 2))>
#<alt (* -1 (pow z 2))>
#<alt (* -1 (pow z 2))>
#<alt (* -1 (pow z 2))>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>

Calls

42 calls:

Time	Variable		Point	Expression
0.0ms	z	@	0	(neg (* z z))
0.0ms	z	@	inf	(neg (* z z))
0.0ms	y	@	0	(/ 1 y)
0.0ms	y	@	-inf	(/ 1 y)
0.0ms	z	@	inf	(/ (neg (* z z)) (* (neg y) z))

rewrite195.0ms (5.3%)

Memory

14.9MiB live, 133.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

1 546×	`lower-*.f32`
1 540×	`lower-*.f64`
1 340×	`lower-/.f32`
1 334×	`lower-/.f64`
810×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	44
0	22	36
1	74	28
2	440	28
0	3464	28

Stop Event

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

Counts

8 → 570

Calls

Call 1

Inputs
(/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) z))
(*.f64 (/.f64 #s(literal 1 binary64) y) z)
(/.f64 #s(literal 1 binary64) y)
(/.f64 (neg.f64 (.f64 z z)) (.f64 (neg.f64 y) z))
(/.f64 x (/.f64 (neg.f64 (.f64 z z)) (.f64 (neg.f64 y) z)))
(neg.f64 (*.f64 z z))
(*.f64 z z)
(neg.f64 y)

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

simplify34.0ms (0.9%)

Memory

-12.4MiB live, 25.6MiB allocated

Algorithm

1×	egg-herbie

Rules

40×	`lower-+.f64`
40×	`lower-+.f32`
30×	`lower-*.f64`
30×	`lower-fma.f64`
30×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	648
1	23	648
2	35	648
3	39	648
4	43	648
5	52	648
6	63	648
7	83	648
8	100	648
9	107	648
10	108	648
0	108	648

Stop Event

1×	iter limit
1×	saturated

Counts

168 → 168

Calls

Call 1

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

Outputs
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(* -1 (pow z 2))
(*.f64 z (neg.f64 z))
(* -1 (pow z 2))
(*.f64 z (neg.f64 z))
(* -1 (pow z 2))
(*.f64 z (neg.f64 z))
(* -1 (pow z 2))
(*.f64 z (neg.f64 z))
(* -1 (pow z 2))
(*.f64 z (neg.f64 z))
(* -1 (pow z 2))
(*.f64 z (neg.f64 z))
(* -1 (pow z 2))
(*.f64 z (neg.f64 z))
(* -1 (pow z 2))
(*.f64 z (neg.f64 z))
(* -1 (pow z 2))
(*.f64 z (neg.f64 z))
(* -1 (pow z 2))
(*.f64 z (neg.f64 z))
(* -1 (pow z 2))
(*.f64 z (neg.f64 z))
(* -1 (pow z 2))
(*.f64 z (neg.f64 z))
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)

eval135.0ms (3.6%)

Memory: 24.7MiB live, 99.2MiB allocated
Compiler: Compiled 8 537 to 1 054 computations (87.7% saved)

prune87.0ms (2.3%)

Memory

-38.7MiB live, 57.7MiB allocated

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	737	1	738
Fresh	0	0	0
Picked	1	1	2
Done	0	6	6
Total	738	8	746

Accuracy

100.0%

Counts

746 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	93.8%	(/.f64 (*.f64 x y) z)
✓	92.7%	(/.f64 y (/.f64 z x))
✓	92.6%	(/.f64 x (/.f64 z y))
✓	92.6%	(/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) z))
✓	92.1%	(*.f64 (/.f64 y z) x)
▶	61.8%	(.f64 (/.f64 x (.f64 z z)) (*.f64 y z))
✓	93.5%	(*.f64 (/.f64 x z) y)
✓	93.7%	(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 x y))

Compiler

Compiled 72 to 46 computations (36.1% saved)

simplify270.0ms (7.3%)

Memory

5.1MiB live, 397.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 y z)
✓	cost-diff	0	(*.f64 z z)
✓	cost-diff	0	(/.f64 x (*.f64 z z))
✓	cost-diff	640	(.f64 (/.f64 x (.f64 z z)) (*.f64 y z))

Rules

9 008×	`lower-*.f32`
9 002×	`lower-*.f64`
2 766×	`cube-prod`
2 398×	`associate-/r/`
2 112×	`lower-/.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	7	23
0	11	23
1	19	23
2	45	23
3	95	21
4	139	19
5	142	19
6	329	19
7	906	19
8	1603	19
9	1724	19
10	1818	19
11	2146	19
12	2618	19
13	3190	19
14	3845	19
15	4826	19
16	5188	19
17	5266	19
18	5306	19
19	5855	19
20	6293	19
21	7732	19
0	8188	19

Stop Event

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

Calls

Call 1

Inputs
(.f64 (/.f64 x (.f64 z z)) (*.f64 y z))
(/.f64 x (*.f64 z z))
x
(*.f64 z z)
z
(*.f64 y z)
y

Outputs
(.f64 (/.f64 x (.f64 z z)) (*.f64 y z))
(/.f64 (*.f64 x y) z)
(/.f64 x (*.f64 z z))
x
(*.f64 z z)
z
(*.f64 y z)
(*.f64 z y)
y

localize22.0ms (0.6%)

Memory

12.6MiB live, 53.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 z z)
✓	accuracy	100.0%	(*.f64 y z)
✓	accuracy	89.7%	(/.f64 x (*.f64 z z))
✓	accuracy	69.2%	(.f64 (/.f64 x (.f64 z z)) (*.f64 y z))

Samples

15.0ms

256×

valid

Compiler

Compiled 25 to 9 computations (64% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult: 4.0ms (61.5% of total)

ival-div: 2.0ms (30.7% of total)

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

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

series4.0ms (0.1%)

Memory

9.6MiB live, 9.6MiB allocated

Counts

4 → 96

Calls

Call 1

Inputs
#<alt (.f64 (/.f64 x (.f64 z z)) (*.f64 y z))>
#<alt (/.f64 x (*.f64 z z))>
#<alt (*.f64 z z)>
#<alt (*.f64 y z)>

Outputs
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>

Calls

24 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/ x (* z z))
1.0ms	x	@	0	(/ x (* z z))
0.0ms	x	@	-inf	(/ x (* z z))
0.0ms	z	@	0	(/ x (* z z))
0.0ms	z	@	inf	(/ x (* z z))

rewrite166.0ms (4.5%)

Memory

-3.2MiB live, 197.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

1 580×	`lower-*.f32`
1 574×	`lower-*.f64`
1 516×	`lower-/.f32`
1 514×	`lower-/.f64`
1 352×	`frac-2neg`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	7	20
0	11	20
1	29	20
2	137	20
3	772	16
4	4280	16
0	9253	16

Stop Event

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

Counts

4 → 222

Calls

Call 1

Inputs
(.f64 (/.f64 x (.f64 z z)) (*.f64 y z))
(/.f64 x (*.f64 z z))
(*.f64 z z)
(*.f64 y z)

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

simplify10.0ms (0.3%)

Memory

-15.2MiB live, 22.1MiB allocated

Algorithm

1×	egg-herbie

Rules

18×	`lower-*.f64`
18×	`lower-*.f32`
10×	`lower-/.f32`
10×	`lower-/.f64`
8×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	408
1	14	408
2	18	408
3	19	408
0	19	408

Stop Event

1×	iter limit
1×	saturated

Counts

96 → 96

Calls

Call 1

Inputs
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ x (pow z 2))
(/ x (pow z 2))
(/ x (pow z 2))
(/ x (pow z 2))
(/ x (pow z 2))
(/ x (pow z 2))
(/ x (pow z 2))
(/ x (pow z 2))
(/ x (pow z 2))
(/ x (pow z 2))
(/ x (pow z 2))
(/ x (pow z 2))
(/ x (pow z 2))
(/ x (pow z 2))
(/ x (pow z 2))
(/ x (pow z 2))
(/ x (pow z 2))
(/ x (pow z 2))
(/ x (pow z 2))
(/ x (pow z 2))
(/ x (pow z 2))
(/ x (pow z 2))
(/ x (pow z 2))
(/ x (pow z 2))
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)

Outputs
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ x (pow z 2))
(/.f64 x (*.f64 z z))
(/ x (pow z 2))
(/.f64 x (*.f64 z z))
(/ x (pow z 2))
(/.f64 x (*.f64 z z))
(/ x (pow z 2))
(/.f64 x (*.f64 z z))
(/ x (pow z 2))
(/.f64 x (*.f64 z z))
(/ x (pow z 2))
(/.f64 x (*.f64 z z))
(/ x (pow z 2))
(/.f64 x (*.f64 z z))
(/ x (pow z 2))
(/.f64 x (*.f64 z z))
(/ x (pow z 2))
(/.f64 x (*.f64 z z))
(/ x (pow z 2))
(/.f64 x (*.f64 z z))
(/ x (pow z 2))
(/.f64 x (*.f64 z z))
(/ x (pow z 2))
(/.f64 x (*.f64 z z))
(/ x (pow z 2))
(/.f64 x (*.f64 z z))
(/ x (pow z 2))
(/.f64 x (*.f64 z z))
(/ x (pow z 2))
(/.f64 x (*.f64 z z))
(/ x (pow z 2))
(/.f64 x (*.f64 z z))
(/ x (pow z 2))
(/.f64 x (*.f64 z z))
(/ x (pow z 2))
(/.f64 x (*.f64 z z))
(/ x (pow z 2))
(/.f64 x (*.f64 z z))
(/ x (pow z 2))
(/.f64 x (*.f64 z z))
(/ x (pow z 2))
(/.f64 x (*.f64 z z))
(/ x (pow z 2))
(/.f64 x (*.f64 z z))
(/ x (pow z 2))
(/.f64 x (*.f64 z z))
(/ x (pow z 2))
(/.f64 x (*.f64 z z))
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)

eval36.0ms (1%)

Memory: 14.4MiB live, 91.3MiB allocated
Compiler: Compiled 3 816 to 601 computations (84.3% saved)

prune35.0ms (1%)

Memory

19.3MiB live, 94.3MiB allocated

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	318	0	318
Fresh	0	0	0
Picked	0	1	1
Done	0	7	7
Total	318	8	326

Accuracy

100.0%

Counts

326 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	93.8%	(/.f64 (*.f64 x y) z)
✓	92.7%	(/.f64 y (/.f64 z x))
✓	92.6%	(/.f64 x (/.f64 z y))
✓	92.6%	(/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) z))
✓	92.1%	(*.f64 (/.f64 y z) x)
✓	61.8%	(.f64 (/.f64 x (.f64 z z)) (*.f64 y z))
✓	93.5%	(*.f64 (/.f64 x z) y)
✓	93.7%	(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 x y))

Compiler

Compiled 143 to 76 computations (46.9% saved)

regimes27.0ms (0.7%)

Memory

-6.3MiB live, 71.8MiB allocated

Counts

10 → 2

Calls

Call 1

Inputs
(*.f64 (/.f64 x z) y)
(*.f64 (/.f64 y z) x)
(/.f64 (*.f64 x y) z)
(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 x y))
(/.f64 x (/.f64 z y))
(/.f64 y (/.f64 z x))
(.f64 (/.f64 x (.f64 z z)) (*.f64 y z))
(/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) z))
(/.f64 x (/.f64 (neg.f64 (.f64 z z)) (.f64 (neg.f64 y) z)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x (/.f64 #s(literal 1 binary64) y)))

Outputs
(*.f64 (/.f64 y z) x)
(*.f64 (/.f64 x z) y)

Calls

5 calls:

11.0ms	y
5.0ms	(*.f64 x y)
4.0ms	x
3.0ms	z
3.0ms	(/.f64 (*.f64 x y) z)

Results

Accuracy	Segments	Branch
96.4%	2	`x`
97.2%	2	`y`
99.8%	2	`z`
99.8%	2	`(/.f64 (*.f64 x y) z)`
99.8%	3	`(*.f64 x y)`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes9.0ms (0.2%)

Memory

-10.8MiB live, 26.8MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 (/.f64 x z) y)

Outputs
(*.f64 (/.f64 x z) y)

Calls

5 calls:

3.0ms	y
1.0ms	z
1.0ms	x
1.0ms	(/.f64 (*.f64 x y) z)
1.0ms	(*.f64 x y)

Results

Accuracy	Segments	Branch
93.5%	1	`x`
93.5%	1	`y`
93.5%	1	`(*.f64 x y)`
93.5%	1	`z`
93.5%	1	`(/.f64 (*.f64 x y) z)`

Compiler

Compiled 26 to 18 computations (30.8% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.7714019473883972e-5	0.00029475866992950716

Compiler

Compiled 11 to 11 computations (0% saved)

simplify6.0ms (0.2%)

Memory

18.6MiB live, 18.6MiB allocated

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	23
1	15	23

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (.f64 x y) z) #s(literal 5902958103587057/295147905179352825856 binary64)) (.f64 (/.f64 y z) x) (*.f64 (/.f64 x z) y))
(*.f64 (/.f64 x z) y)

Outputs
(if (<=.f64 (/.f64 (.f64 x y) z) #s(literal 5902958103587057/295147905179352825856 binary64)) (.f64 (/.f64 y z) x) (*.f64 (/.f64 x z) y))
(if (<=.f64 (/.f64 (.f64 x y) z) #s(literal 5902958103587057/295147905179352825856 binary64)) (.f64 x (/.f64 y z)) (*.f64 y (/.f64 x z)))
(*.f64 (/.f64 x z) y)
(*.f64 y (/.f64 x z))

soundness96.0ms (2.6%)

Memory

-12.9MiB live, 106.2MiB allocated

Rules

1 066×	`lower-*.f32`
1 064×	`lower-*.f64`
848×	`lower-/.f32`
846×	`lower-/.f64`
234×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
0	7	8
1	18	8
2	71	8
3	361	8
0	2367	8

Stop Event

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

Compiler

Compiled 50 to 27 computations (46% saved)

preprocess343.0ms (9.3%)

Memory: 11.6MiB live, 682.6MiB allocated
Compiler: Compiled 456 to 256 computations (43.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	13	648
1	23	648
2	35	648
3	39	648
4	43	648
5	52	648
6	63	648
7	83	648
8	100	648
9	107	648
10	108	648
0	108	648

Iter	Nodes	Cost
0	13	648
1	23	648
2	35	648
3	39	648
4	43	648
5	52	648
6	63	648
7	83	648
8	100	648
9	107	648
10	108	648
0	108	648

analyze35.0ms (0.9%)

sample716.0ms (19.3%)

preprocess57.0ms (1.5%)

explain95.0ms (2.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0.1%)

localize17.0ms (0.5%)

series6.0ms (0.2%)

rewrite104.0ms (2.8%)

simplify12.0ms (0.3%)

eval20.0ms (0.5%)

prune22.0ms (0.6%)

simplify7.0ms (0.2%)

localize54.0ms (1.5%)

series13.0ms (0.3%)

rewrite315.0ms (8.5%)

simplify21.0ms (0.6%)

eval114.0ms (3.1%)

prune241.0ms (6.5%)

simplify290.0ms (7.8%)

localize84.0ms (2.3%)

series3.0ms (0.1%)

rewrite195.0ms (5.3%)

simplify34.0ms (0.9%)

eval135.0ms (3.6%)

prune87.0ms (2.3%)

simplify270.0ms (7.3%)

localize22.0ms (0.6%)

series4.0ms (0.1%)

rewrite166.0ms (4.5%)

simplify10.0ms (0.3%)

eval36.0ms (1%)

prune35.0ms (1%)

regimes27.0ms (0.7%)

regimes9.0ms (0.2%)

bsearch0.0ms (0%)

simplify6.0ms (0.2%)

soundness96.0ms (2.6%)

preprocess343.0ms (9.3%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	13	648
1	23	648
2	35	648
3	39	648
4	43	648
5	52	648
6	63	648
7	83	648
8	100	648
9	107	648
10	108	648
0	108	648