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

analyze37.0ms (1.1%)

Memory

5.7MiB live, 83.5MiB 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)

sample641.0ms (20%)

Memory

48.1MiB live, 1 142.1MiB allocated

Samples

356.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 142.0ms

ival-mult: 72.0ms (50.6% of total)

ival-div: 60.0ms (42.2% of total)

ival-true: 7.0ms (4.9% of total)

ival-assert: 3.0ms (2.1% of total)

Bogosity

preprocess83.0ms (2.6%)

Memory

-9.5MiB live, 69.2MiB 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
1	8	5
2	11	5
3	12	5
0	12	5

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(/ (* x y) z)

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

Symmetry

(negabs z)

(negabs y)

(negabs x)

(sort x y)

explain87.0ms (2.7%)

Memory

-24.2MiB live, 93.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
14	-	-	`(/.f64 (*.f64 x y) z)`
0	-	-	`y`
0	-	-	`z`
0	-	-	`(*.f64 x y)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (*.f64 x y) z)`	u/n	8	0
↳	`(*.f64 x y)`	underflow	23
`/.f64`	`(/.f64 (*.f64 x y) z)`	o/n	6	0
↳	`(*.f64 x y)`	overflow	27

Confusion

	Predicted +	Predicted -
+	14	0
-	0	242

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	14	0	0
-	0	0	242

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	242
1	14

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

20.0ms

512×

valid

Compiler

Compiled 42 to 24 computations (42.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 4.0ms (52.7% of total)

ival-div: 3.0ms (39.5% of total)

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

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	94.7%	(/.f64 (*.f64 x y) z)

Compiler

Compiled 8 to 5 computations (37.5% saved)

simplify4.0ms (0.1%)

Memory

6.8MiB live, 6.8MiB 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×	`-lowering-.f32`
12×	`-lowering-.f64`
6×	`*-commutative`
6×	`/-lowering-/.f32`
6×	`/-lowering-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize15.0ms (0.5%)

Memory

28.2MiB live, 28.2MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	94.7%	(/.f64 (*.f64 x y) z)

Samples

10.0ms

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 (53.8% of total)

ival-mult: 2.0ms (53.8% of total)

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

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

series33.0ms (1%)

Memory

-25.4MiB live, 12.7MiB allocated

Counts

2 → 60

Calls

Call 1

Inputs
#<alt (/ (* x y) z)>
#<alt (* 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
27.0ms	x	@	inf	(/ (* x y) z)
1.0ms	y	@	0	(/ (* x y) z)
1.0ms	x	@	inf	(* x y)
1.0ms	x	@	-inf	(/ (* x y) z)
1.0ms	x	@	0	(/ (* x y) z)

rewrite118.0ms (3.7%)

Memory

6.3MiB live, 120.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

1 066×	`-lowering-.f32`
1 066×	`-lowering-.f64`
848×	`/-lowering-/.f32`
848×	`/-lowering-/.f64`
234×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
1	16	8
2	69	8
3	361	8
0	2371	8

Stop Event

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

Counts

2 → 132

Calls

Call 1

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

simplify8.0ms (0.2%)

Memory

17.6MiB live, 17.6MiB allocated

Algorithm

1×	egg-herbie

Rules

12×	`-lowering-.f32`
12×	`-lowering-.f64`
6×	`*-commutative`
6×	`/-lowering-/.f32`
6×	`/-lowering-/.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)

eval42.0ms (1.3%)

Memory: 1.8MiB live, 39.8MiB allocated
Compiler: Compiled 1 786 to 295 computations (83.5% saved)

prune79.0ms (2.5%)

Memory

-17.1MiB live, 61.0MiB allocated

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	187	5	192
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	187	6	193

Accuracy

100.0%

Counts

193 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	94.7%	(/.f64 (*.f64 x y) z)
▶	93.5%	(/.f64 y (/.f64 z x))
▶	68.1%	(.f64 (/.f64 (.f64 x (neg.f64 y)) (neg.f64 (*.f64 z z))) z)
▶	91.6%	(*.f64 (/.f64 y z) x)
▶	93.8%	(*.f64 (/.f64 x z) y)
▶	94.5%	(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 x y))

Compiler

Compiled 104 to 67 computations (35.6% saved)

simplify244.0ms (7.6%)

Memory

10.8MiB live, 180.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(neg.f64 y)
✓	cost-diff	0	(*.f64 x (neg.f64 y))
✓	cost-diff	256	(/.f64 (.f64 x (neg.f64 y)) (neg.f64 (.f64 z z)))
✓	cost-diff	640	(.f64 (/.f64 (.f64 x (neg.f64 y)) (neg.f64 (*.f64 z z))) z)
✓	cost-diff	0	(/.f64 z x)
✓	cost-diff	384	(/.f64 y (/.f64 z x))
✓	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

2 234×	`-lowering-.f32`
2 234×	`-lowering-.f64`
1 888×	`accelerator-lowering-fma.f32`
1 888×	`accelerator-lowering-fma.f64`
1 660×	`div-sub`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	88
1	48	78
2	160	76
3	755	76
4	2590	76
5	3749	76
6	4776	76
7	5506	76
8	6082	76
9	6228	76
10	6309	76
11	6735	76
12	7388	76
0	8019	76

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize134.0ms (4.2%)

Memory

-14.2MiB live, 107.5MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(neg.f64 (*.f64 z z))
✓	accuracy	100.0%	(neg.f64 y)
✓	accuracy	88.4%	(/.f64 (.f64 x (neg.f64 y)) (neg.f64 (.f64 z z)))
✓	accuracy	79.0%	(.f64 (/.f64 (.f64 x (neg.f64 y)) (neg.f64 (*.f64 z z))) z)
✓	accuracy	100.0%	(/.f64 z x)
✓	accuracy	93.5%	(/.f64 y (/.f64 z x))
✓	accuracy	100.0%	(/.f64 y z)
✓	accuracy	91.6%	(*.f64 (/.f64 y z) x)
✓	accuracy	100.0%	(/.f64 x z)
✓	accuracy	93.8%	(*.f64 (/.f64 x z) y)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) z)
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	94.5%	(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 x y))

Samples

65.0ms

256×

valid

Compiler

Compiled 88 to 21 computations (76.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

ival-mult: 34.0ms (66.4% of total)

ival-div: 15.0ms (29.3% of total)

ival-neg: 2.0ms (3.9% of total)

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

exact: 0.0ms (0% of total)

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

series16.0ms (0.5%)

Memory

-3.6MiB live, 35.2MiB allocated

Counts

14 → 372

Calls

Call 1

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

Calls

93 calls:

Time	Variable		Point	Expression
2.0ms	y	@	0	(/ (* x (neg y)) (neg (* z z)))
2.0ms	x	@	0	(/ z x)
1.0ms	x	@	0	(/ (* x (neg y)) (neg (* z z)))
1.0ms	x	@	inf	(/ (* x (neg y)) (neg (* z z)))
0.0ms	z	@	0	(/ (* x (neg y)) (neg (* z z)))

rewrite161.0ms (5%)

Memory

22.8MiB live, 297.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

1 832×	`-lowering-.f32`
1 832×	`-lowering-.f64`
1 454×	`/-lowering-/.f32`
1 454×	`/-lowering-/.f64`
886×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	69
1	79	57
2	450	57
0	3850	57

Stop Event

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

Counts

14 → 1 211

Calls

Call 1

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

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

simplify148.0ms (4.6%)

Memory

-17.1MiB live, 100.4MiB allocated

Algorithm

1×	egg-herbie

Rules

68×	`+-lowering-+.f64`
68×	`+-lowering-+.f32`
58×	`-lowering-.f32`
58×	`-lowering-.f64`
58×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	1644
1	32	1644
2	57	1644
3	67	1644
4	77	1644
5	95	1644
6	113	1644
7	146	1644
8	196	1644
9	205	1644
10	208	1644
0	208	1644

Stop Event

1×	iter limit
1×	saturated

Counts

372 → 372

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

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)
(*.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 z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.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)
(*.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))
(/ 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)
(/ (* 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)
(/ (* 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))
(/ (* x y) (pow z 2))
(.f64 x (/.f64 y (.f64 z z)))
(/ (* x y) (pow z 2))
(.f64 x (/.f64 y (.f64 z z)))
(/ (* x y) (pow z 2))
(.f64 x (/.f64 y (.f64 z z)))
(/ (* x y) (pow z 2))
(.f64 x (/.f64 y (.f64 z z)))
(/ (* x y) (pow z 2))
(.f64 x (/.f64 y (.f64 z z)))
(/ (* x y) (pow z 2))
(.f64 x (/.f64 y (.f64 z z)))
(/ (* x y) (pow z 2))
(.f64 x (/.f64 y (.f64 z z)))
(/ (* x y) (pow z 2))
(.f64 x (/.f64 y (.f64 z z)))
(/ (* x y) (pow z 2))
(.f64 x (/.f64 y (.f64 z z)))
(/ (* x y) (pow z 2))
(.f64 x (/.f64 y (.f64 z z)))
(/ (* x y) (pow z 2))
(.f64 x (/.f64 y (.f64 z z)))
(/ (* x y) (pow z 2))
(.f64 x (/.f64 y (.f64 z z)))
(/ (* x y) (pow z 2))
(.f64 x (/.f64 y (.f64 z z)))
(/ (* x y) (pow z 2))
(.f64 x (/.f64 y (.f64 z z)))
(/ (* x y) (pow z 2))
(.f64 x (/.f64 y (.f64 z z)))
(/ (* x y) (pow z 2))
(.f64 x (/.f64 y (.f64 z z)))
(/ (* x y) (pow z 2))
(.f64 x (/.f64 y (.f64 z z)))
(/ (* x y) (pow z 2))
(.f64 x (/.f64 y (.f64 z z)))
(/ (* x y) (pow z 2))
(.f64 x (/.f64 y (.f64 z z)))
(/ (* x y) (pow z 2))
(.f64 x (/.f64 y (.f64 z z)))
(/ (* x y) (pow z 2))
(.f64 x (/.f64 y (.f64 z z)))
(/ (* x y) (pow z 2))
(.f64 x (/.f64 y (.f64 z z)))
(/ (* x y) (pow z 2))
(.f64 x (/.f64 y (.f64 z z)))
(/ (* x y) (pow z 2))
(.f64 x (/.f64 y (.f64 z z)))
(/ (* x y) (pow z 2))
(.f64 x (/.f64 y (.f64 z z)))
(/ (* x y) (pow z 2))
(.f64 x (/.f64 y (.f64 z z)))
(/ (* x y) (pow z 2))
(.f64 x (/.f64 y (.f64 z z)))
(/ (* x y) (pow z 2))
(.f64 x (/.f64 y (.f64 z z)))
(/ (* x y) (pow z 2))
(.f64 x (/.f64 y (.f64 z z)))
(/ (* x y) (pow z 2))
(.f64 x (/.f64 y (.f64 z z)))
(/ (* x y) (pow z 2))
(.f64 x (/.f64 y (.f64 z z)))
(/ (* x y) (pow z 2))
(.f64 x (/.f64 y (.f64 z z)))
(/ (* x y) (pow z 2))
(.f64 x (/.f64 y (.f64 z z)))
(/ (* x y) (pow z 2))
(.f64 x (/.f64 y (.f64 z z)))
(/ (* x y) (pow z 2))
(.f64 x (/.f64 y (.f64 z z)))
(/ (* x y) (pow z 2))
(.f64 x (/.f64 y (.f64 z z)))
(* -1 (* x y))
(*.f64 y (neg.f64 x))
(* -1 (* x y))
(*.f64 y (neg.f64 x))
(* -1 (* x y))
(*.f64 y (neg.f64 x))
(* -1 (* x y))
(*.f64 y (neg.f64 x))
(* -1 (* x y))
(*.f64 y (neg.f64 x))
(* -1 (* x y))
(*.f64 y (neg.f64 x))
(* -1 (* x y))
(*.f64 y (neg.f64 x))
(* -1 (* x y))
(*.f64 y (neg.f64 x))
(* -1 (* x y))
(*.f64 y (neg.f64 x))
(* -1 (* x y))
(*.f64 y (neg.f64 x))
(* -1 (* x y))
(*.f64 y (neg.f64 x))
(* -1 (* x y))
(*.f64 y (neg.f64 x))
(* -1 (* x y))
(*.f64 y (neg.f64 x))
(* -1 (* x y))
(*.f64 y (neg.f64 x))
(* -1 (* x y))
(*.f64 y (neg.f64 x))
(* -1 (* x y))
(*.f64 y (neg.f64 x))
(* -1 (* x y))
(*.f64 y (neg.f64 x))
(* -1 (* x y))
(*.f64 y (neg.f64 x))
(* -1 (* x y))
(*.f64 y (neg.f64 x))
(* -1 (* x y))
(*.f64 y (neg.f64 x))
(* -1 (* x y))
(*.f64 y (neg.f64 x))
(* -1 (* x y))
(*.f64 y (neg.f64 x))
(* -1 (* x y))
(*.f64 y (neg.f64 x))
(* -1 (* x y))
(*.f64 y (neg.f64 x))
(* -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)
(* -1 (pow z 2))
(neg.f64 (*.f64 z z))
(* -1 (pow z 2))
(neg.f64 (*.f64 z z))
(* -1 (pow z 2))
(neg.f64 (*.f64 z z))
(* -1 (pow z 2))
(neg.f64 (*.f64 z z))
(* -1 (pow z 2))
(neg.f64 (*.f64 z z))
(* -1 (pow z 2))
(neg.f64 (*.f64 z z))
(* -1 (pow z 2))
(neg.f64 (*.f64 z z))
(* -1 (pow z 2))
(neg.f64 (*.f64 z z))
(* -1 (pow z 2))
(neg.f64 (*.f64 z z))
(* -1 (pow z 2))
(neg.f64 (*.f64 z z))
(* -1 (pow z 2))
(neg.f64 (*.f64 z z))
(* -1 (pow z 2))
(neg.f64 (*.f64 z z))

eval166.0ms (5.2%)

Memory: -27.5MiB live, 354.7MiB allocated
Compiler: Compiled 15 536 to 1 333 computations (91.4% saved)

prune114.0ms (3.5%)

Memory

6.4MiB live, 205.7MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	1 582	1	1 583
Fresh	0	0	0
Picked	1	4	5
Done	0	1	1
Total	1 583	6	1 589

Accuracy

100.0%

Counts

1 589 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	66.7%	(/.f64 (.f64 z (.f64 x y)) (*.f64 z z))
✓	94.7%	(/.f64 (*.f64 x y) z)
✓	93.5%	(/.f64 y (/.f64 z x))
✓	91.6%	(*.f64 (/.f64 y z) x)
✓	93.8%	(*.f64 (/.f64 x z) y)
✓	94.5%	(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 x y))

Compiler

Compiled 54 to 34 computations (37% saved)

simplify264.0ms (8.3%)

Memory

5.9MiB live, 370.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

7 810×	`-lowering-.f32`
7 810×	`-lowering-.f64`
2 442×	`cube-prod`
2 038×	`/-lowering-/.f32`
2 038×	`/-lowering-/.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	7	23
1	18	21
2	50	19
3	118	19
4	321	19
5	784	19
6	1704	19
7	2305	19
8	2379	19
9	2535	19
10	2740	19
11	3012	19
12	3366	19
13	5351	19
14	5517	19
15	5630	19
16	5718	19
17	5804	19
18	6447	19
0	8294	19

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize21.0ms (0.7%)

Memory

18.8MiB live, 57.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 z z)
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	92.2%	(.f64 z (.f64 x y))
✓	accuracy	67.2%	(/.f64 (.f64 z (.f64 x y)) (*.f64 z z))

Samples

14.0ms

256×

valid

Compiler

Compiled 25 to 9 computations (64% saved)

Precisions

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

ival-mult: 5.0ms (68.5% of total)

ival-div: 2.0ms (27.4% of total)

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

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

series6.0ms (0.2%)

Memory

-31.8MiB live, 11.0MiB allocated

Counts

4 → 108

Calls

Call 1

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

Calls

27 calls:

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

rewrite130.0ms (4.1%)

Memory

24.7MiB live, 220.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

2 026×	`-lowering-.f32`
2 026×	`-lowering-.f64`
1 918×	`/-lowering-/.f32`
1 918×	`/-lowering-/.f64`
494×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	7	20
1	28	18
2	157	16
3	915	16
0	4636	16

Stop Event

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

Counts

4 → 309

Calls

Call 1

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

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

simplify27.0ms (0.8%)

Memory

-13.1MiB live, 24.5MiB allocated

Algorithm

1×	egg-herbie

Rules

34×	`-lowering-.f32`
34×	`-lowering-.f64`
12×	`*-commutative`
6×	`/-lowering-/.f32`
6×	`/-lowering-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	468
1	16	468
2	25	468
3	27	468
0	27	468

Stop Event

1×	iter limit
1×	saturated

Counts

108 → 108

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 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)
(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)

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))
(* 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 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)
(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)

eval72.0ms (2.2%)

Memory: 13.6MiB live, 105.3MiB allocated
Compiler: Compiled 5 177 to 787 computations (84.8% saved)

prune49.0ms (1.5%)

Memory

-2.1MiB live, 108.6MiB allocated

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	417	0	417
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	417	6	423

Accuracy

100.0%

Counts

423 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	66.7%	(/.f64 (.f64 z (.f64 x y)) (*.f64 z z))
✓	94.7%	(/.f64 (*.f64 x y) z)
✓	93.5%	(/.f64 y (/.f64 z x))
✓	91.6%	(*.f64 (/.f64 y z) x)
✓	93.8%	(*.f64 (/.f64 x z) y)
✓	94.5%	(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 x y))

Compiler

Compiled 104 to 56 computations (46.2% saved)

regimes19.0ms (0.6%)

Memory

-10.3MiB live, 32.7MiB allocated

Counts

7 → 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 y (/.f64 z x))
(/.f64 (.f64 z (.f64 x y)) (*.f64 z z))
(.f64 (/.f64 (.f64 x (neg.f64 y)) (neg.f64 (*.f64 z z))) z)

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

Calls

5 calls:

7.0ms	z
3.0ms	y
3.0ms	x
3.0ms	(*.f64 x y)
3.0ms	(/.f64 (*.f64 x y) z)

Results

Accuracy	Segments	Branch
96.9%	2	`x`
97.6%	2	`y`
99.7%	2	`z`
99.7%	2	`(/.f64 (*.f64 x y) z)`
99.8%	3	`(*.f64 x y)`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes6.0ms (0.2%)

Memory

18.6MiB live, 18.6MiB 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:

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

Results

Accuracy	Segments	Branch
93.8%	1	`x`
93.8%	1	`y`
93.8%	1	`(*.f64 x y)`
93.8%	1	`(/.f64 (*.f64 x y) z)`
93.8%	1	`z`

Compiler

Compiled 26 to 18 computations (30.8% saved)

bsearch13.0ms (0.4%)

Memory

-14.7MiB live, 21.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	9.125813452485216e+83	9.67705262216447e+86

Samples

8.0ms

128×

valid

Compiler

Compiled 155 to 107 computations (31% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-div: 1.0ms (52.4% of total)

ival-mult: 1.0ms (52.4% of total)

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

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

simplify7.0ms (0.2%)

Memory

17.3MiB live, 17.3MiB allocated

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	12	19

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 z #s(literal 919999999999999979814226171616884724748004720234983573837165684865578198693750767616 binary64)) (.f64 (/.f64 x z) y) (.f64 (/.f64 y z) x))
(*.f64 (/.f64 x z) y)

Outputs

(if (<=.f64 z #s(literal 919999999999999979814226171616884724748004720234983573837165684865578198693750767616 binary64)) (*.f64 (/.f64 x z) y) (*.f64 (/.f64 y z) x))

(if (<=.f64 z #s(literal 919999999999999979814226171616884724748004720234983573837165684865578198693750767616 binary64)) (*.f64 (/.f64 x z) y) (*.f64 x (/.f64 y z)))

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

soundness93.0ms (2.9%)

Memory

5.2MiB live, 79.1MiB allocated

Rules

1 066×	`-lowering-.f32`
1 066×	`-lowering-.f64`
848×	`/-lowering-/.f32`
848×	`/-lowering-/.f64`
234×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
1	16	8
2	69	8
3	361	8
0	2371	8

Stop Event

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

Compiler

Compiled 46 to 25 computations (45.7% saved)

preprocess364.0ms (11.4%)

Memory: -31.1MiB live, 529.5MiB allocated
Compiler: Compiled 248 to 140 computations (43.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze37.0ms (1.1%)

sample641.0ms (20%)

preprocess83.0ms (2.6%)

explain87.0ms (2.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.1%)

localize15.0ms (0.5%)

series33.0ms (1%)

rewrite118.0ms (3.7%)

simplify8.0ms (0.2%)

eval42.0ms (1.3%)

prune79.0ms (2.5%)

simplify244.0ms (7.6%)

localize134.0ms (4.2%)

series16.0ms (0.5%)

rewrite161.0ms (5%)

simplify148.0ms (4.6%)

eval166.0ms (5.2%)

prune114.0ms (3.5%)

simplify264.0ms (8.3%)

localize21.0ms (0.7%)

series6.0ms (0.2%)

rewrite130.0ms (4.1%)

simplify27.0ms (0.8%)

eval72.0ms (2.2%)

prune49.0ms (1.5%)

regimes19.0ms (0.6%)

regimes6.0ms (0.2%)

bsearch13.0ms (0.4%)

simplify7.0ms (0.2%)

soundness93.0ms (2.9%)

preprocess364.0ms (11.4%)

end0.0ms (0%)

Profiling