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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze34.0ms (1.2%)

Memory

-1.2MiB live, 74.6MiB 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)

sample779.0ms (27.5%)

Memory

-20.0MiB live, 1 024.2MiB allocated

Samples

416.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 191.0ms

ival-mult: 126.0ms (65.8% of total)

ival-div: 56.0ms (29.3% of total)

ival-true: 6.0ms (3.1% of total)

ival-assert: 3.0ms (1.6% of total)

Bogosity

explain50.0ms (1.8%)

Memory

9.8MiB live, 122.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
14	-	1	(4.943336328068603e-250 6.552598191534543e-99 3.7241545470342677e-37)	`(/.f64 (*.f64 x y) z)`
0	-	0	-	`y`
0	-	0	-	`z`
0	-	0	-	`(*.f64 x y)`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (*.f64 x y) z)`	o/n	7	0
↳	`(*.f64 x y)`	overflow	27
`/.f64`	`(/.f64 (*.f64 x y) z)`	u/n	6	0
↳	`(*.f64 x y)`	underflow	30

Confusion

	Predicted +	Predicted -
+	13	1
-	0	242

Precision

1.0

Recall

0.9285714285714286

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	13	0	1
-	0	0	242

Precision?

1.0

Recall?

0.9285714285714286

Freqs

test

number	freq
0	243
1	13

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

22.0ms

512×

valid

Compiler

Compiled 48 to 24 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-div: 5.0ms (54% of total)

ival-mult: 4.0ms (43.2% of total)

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

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

preprocess56.0ms (2%)

Memory

15.5MiB live, 58.2MiB 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
0	7	5
1	10	5
2	13	5
3	14	5
0	14	5

Stop Event

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

Calls

Call 1

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

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

Symmetry

(negabs z)

(negabs y)

(negabs x)

(sort x y)

Compiler

Compiled 8 to 5 computations (37.5% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	94.8%	(/.f64 (*.f64 x y) z)

Compiler

Compiled 8 to 5 computations (37.5% saved)

simplify10.0ms (0.4%)

Memory

-25.9MiB live, 8.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize16.0ms (0.6%)

Memory

0.8MiB live, 39.3MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(*.f64 x y)
accuracy	3.3515067047850304	(/.f64 (*.f64 x y) z)

Samples

11.0ms

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 (54% of total)

ival-mult: 2.0ms (54% of total)

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

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

series6.0ms (0.2%)

Memory

17.6MiB live, 17.6MiB allocated

Counts

2 → 60

Calls

Call 1

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

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

Calls

15 calls:

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

simplify4.0ms (0.2%)

Memory

12.1MiB live, 12.1MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated

Counts

60 → 60

Calls

Call 1

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

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

rewrite97.0ms (3.4%)

Memory

3.6MiB live, 156.8MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

2 → 132

Calls

Call 1

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

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

eval31.0ms (1.1%)

Memory: 10.7MiB live, 48.4MiB allocated
Compiler: Compiled 1 846 to 295 computations (84% saved)

prune70.0ms (2.5%)

Memory

-39.5MiB live, 53.5MiB allocated

Pruning

7 alts after pruning (6 fresh and 1 done)

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

Accuracy

100.0%

Counts

193 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	69.2%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (neg.f64 z) (.f64 x y))) (*.f64 z z))
✓	94.8%	(/.f64 (*.f64 x y) z)
▶	93.2%	(/.f64 y (/.f64 z x))
▶	94.0%	(/.f64 x (/.f64 z y))
▶	93.3%	(*.f64 (/.f64 y z) x)
▶	93.8%	(*.f64 (/.f64 x z) y)
▶	94.6%	(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 x y))

Compiler

Compiled 122 to 79 computations (35.2% saved)

simplify7.0ms (0.2%)

Memory

14.7MiB live, 14.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize50.0ms (1.8%)

Memory

-19.7MiB live, 101.8MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 z x)
accuracy	4.333463818369989	(/.f64 y (/.f64 z x))
accuracy	0	(/.f64 z y)
accuracy	3.8717060584507266	(/.f64 x (/.f64 z y))
accuracy	0	(/.f64 y z)
accuracy	4.30727195723084	(*.f64 (/.f64 y z) x)
accuracy	0	(/.f64 x z)
accuracy	3.939992873657857	(*.f64 (/.f64 x z) y)
accuracy	0	(/.f64 #s(literal 1 binary64) z)
accuracy	0	(*.f64 x y)
accuracy	3.4263892243219147	(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 x y))

Samples

32.0ms

256×

valid

Compiler

Compiled 63 to 17 computations (73% saved)

Precisions

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

ival-div: 13.0ms (68.5% of total)

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

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

exact: 0.0ms (0% of total)

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

series10.0ms (0.4%)

Memory

25.1MiB live, 25.1MiB allocated

Counts

11 → 312

Calls

Call 1

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

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

Calls

78 calls:

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

simplify13.0ms (0.5%)

Memory

-10.9MiB live, 25.3MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated

Counts

312 → 312

Calls

Call 1

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

rewrite214.0ms (7.6%)

Memory

13.2MiB live, 403.0MiB allocated

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

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

Counts

11 → 845

Calls

Call 1

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

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

eval257.0ms (9.1%)

Memory: -17.3MiB live, 206.2MiB allocated
Compiler: Compiled 12 065 to 1 199 computations (90.1% saved)

prune129.0ms (4.6%)

Memory

17.9MiB live, 170.6MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	1 156	1	1 157
Fresh	1	0	1
Picked	0	5	5
Done	0	1	1
Total	1 157	7	1 164

Accuracy

100.0%

Counts

1 164 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	94.8%	(/.f64 (*.f64 x y) z)
✓	93.2%	(/.f64 y (/.f64 z x))
▶	93.1%	(/.f64 y (*.f64 (/.f64 #s(literal 1 binary64) x) z))
✓	94.0%	(/.f64 x (/.f64 z y))
✓	93.3%	(*.f64 (/.f64 y z) x)
✓	93.8%	(*.f64 (/.f64 x z) y)
✓	94.6%	(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 x y))

Compiler

Compiled 60 to 39 computations (35% saved)

simplify8.0ms (0.3%)

Memory

-29.5MiB live, 8.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

28×	`lower-/.f32`
28×	`lower-*.f32`
26×	`lower-*.f64`
24×	`lower-/.f64`
14×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	19
0	10	19
1	17	15
2	26	15
3	50	15
4	53	15
0	53	15

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize18.0ms (0.6%)

Memory

32.4MiB live, 32.4MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 #s(literal 1 binary64) x)
accuracy	0.20703125	(*.f64 (/.f64 #s(literal 1 binary64) x) z)
accuracy	4.333463818369989	(/.f64 y (*.f64 (/.f64 #s(literal 1 binary64) x) z))

Samples

12.0ms

256×

valid

Compiler

Compiled 21 to 9 computations (57.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-div: 3.0ms (56.6% of total)

ival-mult: 1.0ms (18.9% of total)

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

exact: 0.0ms (0% of total)

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

series13.0ms (0.4%)

Memory

-36.2MiB live, 3.4MiB allocated

Counts

3 → 72

Calls

Call 1

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

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

Calls

18 calls:

Time	Variable		Point	Expression
11.0ms	x	@	-inf	(/ y (* (/ 1 x) z))
1.0ms	x	@	-inf	(/ 1 x)
0.0ms	x	@	0	(/ 1 x)
0.0ms	y	@	0	(/ y (* (/ 1 x) z))
0.0ms	z	@	inf	(/ y (* (/ 1 x) z))

simplify5.0ms (0.2%)

Memory

8.2MiB live, 8.2MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	288
1	13	288
2	16	288
3	17	288
0	17	288

Stop Event

1×	iter limit
1×	saturated

Counts

72 → 72

Calls

Call 1

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

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

rewrite264.0ms (9.4%)

Memory

-11.1MiB live, 288.1MiB allocated

Rules

2 672×	`lower-*.f32`
2 670×	`lower-*.f64`
1 744×	`lower-/.f32`
1 740×	`lower-/.f64`
1 740×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	15
0	10	15
1	32	11
2	143	11
3	704	11
4	3757	11
0	8772	11

Stop Event

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

Counts

3 → 358

Calls

Call 1

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

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

eval47.0ms (1.7%)

Memory: 6.2MiB live, 121.3MiB allocated
Compiler: Compiled 4 902 to 862 computations (82.4% saved)

prune53.0ms (1.9%)

Memory

-16.4MiB live, 142.8MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	430	0	430
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	430	7	437

Accuracy

100.0%

Counts

437 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	94.8%	(/.f64 (*.f64 x y) z)
✓	93.2%	(/.f64 y (/.f64 z x))
✓	93.1%	(/.f64 y (*.f64 (/.f64 #s(literal 1 binary64) x) z))
✓	94.0%	(/.f64 x (/.f64 z y))
✓	93.3%	(*.f64 (/.f64 y z) x)
✓	93.8%	(*.f64 (/.f64 x z) y)
✓	94.6%	(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 x y))

Compiler

Compiled 114 to 64 computations (43.9% saved)

regimes15.0ms (0.5%)

Memory

36.4MiB live, 36.4MiB allocated

Counts

8 → 2

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
97.4%	2	`x`
97.2%	2	`y`
99.8%	2	`z`
99.8%	2	`(/.f64 (*.f64 x y) z)`
99.8%	3	`(*.f64 x y)`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes5.0ms (0.2%)

Memory

-30.3MiB live, 9.1MiB allocated

Counts

4 → 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))

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

Calls

2 calls:

2.0ms	(/.f64 (*.f64 x y) z)
2.0ms	z

Results

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes6.0ms (0.2%)

Memory

18.2MiB live, 18.2MiB 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	z
1.0ms	x
1.0ms	(*.f64 x y)
1.0ms	(/.f64 (*.f64 x y) z)

Results

Accuracy	Segments	Branch
93.8%	1	`y`
93.8%	1	`x`
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)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0006822129814369322	17.64530672288012

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch12.0ms (0.4%)

Memory

-14.7MiB live, 24.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
12.0ms	5.536086967161822e-30	3.9147783746182773e-19

Samples

6.0ms

160×

valid

Compiler

Compiled 191 to 131 computations (31.4% saved)

Precisions

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

ival-div: 1.0ms (43.9% of total)

ival-mult: 1.0ms (43.9% of total)

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

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

simplify6.0ms (0.2%)

Memory

16.3MiB live, 16.3MiB allocated

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	37
1	20	37

Stop Event

1×

saturated

Calls

Call 1

Inputs

(if (<=.f64 (/.f64 (*.f64 x y) z) #s(literal 1152921504606847/1152921504606846976 binary64)) (/.f64 x (/.f64 z y)) (*.f64 (/.f64 x z) y))

(if (<=.f64 z #s(literal 3946145612486469/10384593717069655257060992658440192 binary64)) (*.f64 (/.f64 x z) y) (*.f64 (/.f64 y z) x))

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

Outputs
(if (<=.f64 (/.f64 (.f64 x y) z) #s(literal 1152921504606847/1152921504606846976 binary64)) (/.f64 x (/.f64 z y)) (.f64 (/.f64 x z) y))
(if (<=.f64 (/.f64 (.f64 x y) z) #s(literal 1152921504606847/1152921504606846976 binary64)) (/.f64 x (/.f64 z y)) (.f64 y (/.f64 x z)))
(if (<=.f64 z #s(literal 3946145612486469/10384593717069655257060992658440192 binary64)) (.f64 (/.f64 x z) y) (.f64 (/.f64 y z) x))
(if (<=.f64 z #s(literal 3946145612486469/10384593717069655257060992658440192 binary64)) (.f64 y (/.f64 x z)) (.f64 x (/.f64 y z)))
(*.f64 (/.f64 x z) y)
(*.f64 y (/.f64 x z))

soundness126.0ms (4.5%)

Memory

-11.8MiB live, 146.8MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Compiler

Compiled 105 to 52 computations (50.5% saved)

preprocess411.0ms (14.6%)

Memory: 25.6MiB live, 571.9MiB allocated
Compiler: Compiled 484 to 266 computations (45% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze34.0ms (1.2%)

sample779.0ms (27.5%)

explain50.0ms (1.8%)

preprocess56.0ms (2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify10.0ms (0.4%)

localize16.0ms (0.6%)

series6.0ms (0.2%)

simplify4.0ms (0.2%)

rewrite97.0ms (3.4%)

eval31.0ms (1.1%)

prune70.0ms (2.5%)

simplify7.0ms (0.2%)

localize50.0ms (1.8%)

series10.0ms (0.4%)

simplify13.0ms (0.5%)

rewrite214.0ms (7.6%)

eval257.0ms (9.1%)

prune129.0ms (4.6%)

simplify8.0ms (0.3%)

localize18.0ms (0.6%)

series13.0ms (0.4%)

simplify5.0ms (0.2%)

rewrite264.0ms (9.4%)

eval47.0ms (1.7%)

prune53.0ms (1.9%)

regimes15.0ms (0.5%)

regimes5.0ms (0.2%)

regimes6.0ms (0.2%)

bsearch0.0ms (0%)

bsearch12.0ms (0.4%)

simplify6.0ms (0.2%)

soundness126.0ms (4.5%)

preprocess411.0ms (14.6%)

end0.0ms (0%)

Profiling