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

start0.0ms (0%)

Memory: 0.1MiB live, 0.0MiB allocated

analyze50.0ms (1.7%)

Memory

-8.7MiB live, 51.0MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 7 to 7 computations (0% saved)

sample647.0ms (22.3%)

Memory

-14.9MiB live, 1 008.3MiB allocated

Samples

382.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 176.0ms

ival-mult: 99.0ms (56.3% of total)

ival-div: 67.0ms (38.1% of total)

ival-true: 6.0ms (3.4% of total)

ival-assert: 4.0ms (2.3% of total)

Bogosity

explain122.0ms (4.2%)

Memory

16.1MiB live, 137.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
25	-	3	(1.4716767182956766e-290 1.0000978315454183e-23 -1.7240378454662224e-284)	`(/.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)`	u/n	15	0
↳	`(*.f64 x y)`	underflow	28
`/.f64`	`(/.f64 (*.f64 x y) z)`	o/n	7	0
↳	`(*.f64 x y)`	overflow	26

Confusion

	Predicted +	Predicted -
+	22	3
-	0	231

Precision

1.0

Recall

0.88

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	22	0	3
-	0	0	231

Precision?

1.0

Recall?

0.88

Freqs

test

number	freq
0	234
1	22

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 53 to 29 computations (45.3% saved)

Precisions

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

ival-div: 4.0ms (47.9% of total)

ival-mult: 4.0ms (47.9% of total)

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

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

preprocess55.0ms (1.9%)

Memory

1.1MiB live, 38.2MiB allocated

Algorithm

1×	egg-herbie

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

Symmetry

(negabs z)

(negabs y)

(negabs x)

(sort x y)

Compiler

Compiled 5 to 5 computations (0% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	91.7%	(/.f64 (*.f64 x y) z)

Compiler

Compiled 5 to 5 computations (0% saved)

simplify3.0ms (0.1%)

Memory

4.9MiB live, 4.9MiB 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)

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

localize18.0ms (0.6%)

Memory

-6.4MiB live, 29.4MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(*.f64 x y)
accuracy	5.289229920443617	(/.f64 (*.f64 x y) z)

Samples

14.0ms

256×

valid

Compiler

Compiled 24 to 12 computations (50% saved)

Precisions

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

ival-mult: 5.0ms (65.5% of total)

ival-div: 2.0ms (26.2% of total)

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

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

series7.0ms (0.2%)

Memory

12.0MiB live, 12.0MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

Calls

9 calls:

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

simplify2.0ms (0.1%)

Memory

3.2MiB live, 3.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated

Counts

2 → 2

Calls

Call 1

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

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

rewrite90.0ms (3.1%)

Memory

-21.6MiB live, 73.6MiB allocated

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

eval25.0ms (0.9%)

Memory: -20.1MiB live, 18.3MiB allocated
Compiler: Compiled 1 383 to 298 computations (78.5% saved)

prune5.0ms (0.2%)

Memory

12.7MiB live, 12.7MiB allocated

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	127	7	134
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	127	8	135

Accuracy

100.0%

Counts

135 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	93.0%	(/.f64 (/.f64 y z) (pow.f64 x #s(literal -1 binary64)))
	90.5%	(/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (/.f64 #s(literal -1 binary64) y) x))
✓	91.7%	(/.f64 (*.f64 x y) z)
▶	93.4%	(/.f64 x (/.f64 z y))
▶	91.0%	(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y x)))
▶	93.2%	(*.f64 (/.f64 y z) x)
▶	94.6%	(*.f64 (/.f64 x z) y)
▶	91.7%	(.f64 (/.f64 #s(literal -1 binary64) z) (.f64 (neg.f64 x) y))

Compiler

Compiled 97 to 95 computations (2.1% saved)

simplify61.0ms (2.1%)

Memory

-3.1MiB live, 32.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score
cost-diff	-384	(/.f64 z (*.f64 y x))
cost-diff	0	(*.f64 y x)
cost-diff	1088	(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y x)))
cost-diff	0	(neg.f64 x)
cost-diff	0	(*.f64 (neg.f64 x) y)
cost-diff	0	(/.f64 #s(literal -1 binary64) z)
cost-diff	448	(.f64 (/.f64 #s(literal -1 binary64) z) (.f64 (neg.f64 x) y))
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)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	73
0	31	68
1	51	68
2	96	68
3	219	68
4	430	68
5	619	68
6	877	68
7	1758	68
8	2382	68
9	2518	68
10	2724	68
11	2776	68
12	2776	68
0	2776	68

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize60.0ms (2.1%)

Memory

22.7MiB live, 64.3MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y x)
accuracy	0.7027209286612686	(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y x)))
accuracy	5.23420369140267	(/.f64 z (*.f64 y x))
accuracy	0	(/.f64 #s(literal -1 binary64) z)
accuracy	0	(*.f64 (neg.f64 x) y)
accuracy	0	(neg.f64 x)
accuracy	5.340011171361826	(.f64 (/.f64 #s(literal -1 binary64) z) (.f64 (neg.f64 x) y))
accuracy	0	(/.f64 z y)
accuracy	4.232191233497888	(/.f64 x (/.f64 z y))
accuracy	0	(/.f64 y z)
accuracy	4.371233393597153	(*.f64 (/.f64 y z) x)
accuracy	0	(/.f64 x z)
accuracy	3.4774397377578783	(*.f64 (/.f64 x z) y)

Samples

49.0ms

256×

valid

Compiler

Compiled 148 to 38 computations (74.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-div: 18.0ms (66.7% of total)

ival-mult: 8.0ms (29.6% of total)

ival-neg: 1.0ms (3.7% of total)

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

exact: 0.0ms (0% of total)

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

series17.0ms (0.6%)

Memory

-11.4MiB live, 26.7MiB allocated

Counts

13 → 9

Calls

Call 1

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

Outputs
(/ (* x y) z)
(/ x z)
(* -1 (* x y))
(* -1 x)
(* x y)
(/ z (* x y))
(/ y z)
(/ z y)
(/ -1 z)

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	((* (/ x z) y) (/ x z) (* (/ y z) x) (/ y z) (/ x (/ z y)) (/ z y) (* (/ -1 z) (* (neg x) y)) (/ -1 z) (* (neg x) y) (neg x) (/ 1 (/ z (* y x))) (* y x) (/ z (* y x)))
2.0ms	y	@	inf	((* (/ x z) y) (/ x z) (* (/ y z) x) (/ y z) (/ x (/ z y)) (/ z y) (* (/ -1 z) (* (neg x) y)) (/ -1 z) (* (neg x) y) (neg x) (/ 1 (/ z (* y x))) (* y x) (/ z (* y x)))
2.0ms	y	@	-inf	((* (/ x z) y) (/ x z) (* (/ y z) x) (/ y z) (/ x (/ z y)) (/ z y) (* (/ -1 z) (* (neg x) y)) (/ -1 z) (* (neg x) y) (neg x) (/ 1 (/ z (* y x))) (* y x) (/ z (* y x)))
2.0ms	z	@	-inf	((* (/ x z) y) (/ x z) (* (/ y z) x) (/ y z) (/ x (/ z y)) (/ z y) (* (/ -1 z) (* (neg x) y)) (/ -1 z) (* (neg x) y) (neg x) (/ 1 (/ z (* y x))) (* y x) (/ z (* y x)))
2.0ms	z	@	0	((* (/ x z) y) (/ x z) (* (/ y z) x) (/ y z) (/ x (/ z y)) (/ z y) (* (/ -1 z) (* (neg x) y)) (/ -1 z) (* (neg x) y) (neg x) (/ 1 (/ z (* y x))) (* y x) (/ z (* y x)))

simplify5.0ms (0.2%)

Memory

6.3MiB live, 6.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	31
1	22	31
2	37	31
3	42	31
4	50	31
5	61	31
6	72	31
7	93	31
8	116	31
9	118	31
10	119	31
0	119	31

Stop Event

1×	iter limit
1×	saturated

Counts

9 → 9

Calls

Call 1

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

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

rewrite143.0ms (4.9%)

Memory

13.6MiB live, 130.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	56
0	31	51
1	85	51
2	358	51
3	1927	51
4	7565	51
0	8066	51

Stop Event

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

Counts

13 → 1 301

Calls

Call 1

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

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

eval162.0ms (5.6%)

Memory: -21.3MiB live, 168.9MiB allocated
Compiler: Compiled 11 234 to 2 031 computations (81.9% saved)

prune35.0ms (1.2%)

Memory

5.3MiB live, 44.4MiB allocated

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	841	1	842
Fresh	1	1	2
Picked	0	5	5
Done	0	1	1
Total	842	8	850

Accuracy

100.0%

Counts

850 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	90.5%	(/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (/.f64 #s(literal -1 binary64) y) x))
✓	91.7%	(/.f64 (*.f64 x y) z)
✓	93.4%	(/.f64 x (/.f64 z y))
▶	93.3%	(/.f64 x (*.f64 (pow.f64 y #s(literal -1 binary64)) z))
✓	91.0%	(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y x)))
✓	93.2%	(*.f64 (/.f64 y z) x)
✓	94.6%	(*.f64 (/.f64 x z) y)
✓	91.7%	(.f64 (/.f64 #s(literal -1 binary64) z) (.f64 (neg.f64 x) y))

Compiler

Compiled 51 to 50 computations (2% saved)

simplify55.0ms (1.9%)

Memory

2.0MiB live, 39.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(literal -1 binary64) y)
cost-diff	0	(/.f64 (/.f64 #s(literal -1 binary64) y) x)
cost-diff	0	(/.f64 #s(literal -1 binary64) z)
cost-diff	1792	(/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (/.f64 #s(literal -1 binary64) y) x))
cost-diff	0	(pow.f64 y #s(literal -1 binary64))
cost-diff	384	(/.f64 x (*.f64 (pow.f64 y #s(literal -1 binary64)) z))
cost-diff	6080	(*.f64 (pow.f64 y #s(literal -1 binary64)) z)

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	43
0	18	41
1	29	41
2	56	35
3	116	35
4	272	35
5	692	35
6	1589	35
7	1819	35
8	1924	35
9	1970	35
10	1974	35
11	1974	35
0	1974	35

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize65.0ms (2.2%)

Memory

-13.2MiB live, 47.2MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 #s(literal -1 binary64) z)
accuracy	0	(/.f64 #s(literal -1 binary64) y)
accuracy	0.171875	(/.f64 (/.f64 #s(literal -1 binary64) y) x)
accuracy	6.063762816295875	(/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (/.f64 #s(literal -1 binary64) y) x))
accuracy	0	(pow.f64 y #s(literal -1 binary64))
accuracy	0.19921875	(*.f64 (pow.f64 y #s(literal -1 binary64)) z)
accuracy	4.232191233497888	(/.f64 x (*.f64 (pow.f64 y #s(literal -1 binary64)) z))

Samples

57.0ms

256×

valid

Compiler

Compiled 88 to 24 computations (72.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-div: 8.0ms (46.1% of total)

ival-pow: 8.0ms (46.1% of total)

ival-mult: 2.0ms (11.5% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.3%)

Memory

8.5MiB live, 8.5MiB allocated

Counts

7 → 6

Calls

Call 1

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

Outputs
(/ (* x y) z)
(/ -1 (* x y))
(/ z y)
(/ 1 y)
(/ -1 y)
(/ -1 z)

Calls

9 calls:

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

simplify3.0ms (0.1%)

Memory

3.3MiB live, 3.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	22
1	19	22
2	23	22
3	24	22
0	24	22

Stop Event

1×	iter limit
1×	saturated

Counts

6 → 6

Calls

Call 1

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

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

rewrite174.0ms (6%)

Memory

-18.6MiB live, 96.4MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	35
0	18	33
1	69	27
2	381	27
3	2351	27
4	7514	27
0	8474	27

Stop Event

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

Counts

7 → 559

Calls

Call 1

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

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

eval58.0ms (2%)

Memory: 25.0MiB live, 101.7MiB allocated
Compiler: Compiled 5 081 to 1 000 computations (80.3% saved)

prune8.0ms (0.3%)

Memory

-6.2MiB live, 32.2MiB allocated

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	392	1	393
Fresh	0	0	0
Picked	1	1	2
Done	0	6	6
Total	393	8	401

Accuracy

100.0%

Counts

401 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	90.5%	(/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (/.f64 #s(literal -1 binary64) y) x))
✓	91.7%	(/.f64 (*.f64 x y) z)
✓	93.4%	(/.f64 x (/.f64 z y))
▶	93.3%	(/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) z))
✓	91.0%	(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y x)))
✓	93.2%	(*.f64 (/.f64 y z) x)
✓	94.6%	(*.f64 (/.f64 x z) y)
✓	91.7%	(.f64 (/.f64 #s(literal -1 binary64) z) (.f64 (neg.f64 x) y))

Compiler

Compiled 51 to 50 computations (2% saved)

simplify4.0ms (0.1%)

Memory

5.8MiB live, 5.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

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

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

localize33.0ms (1.1%)

Memory

-11.3MiB live, 27.2MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 #s(literal 1 binary64) y)
accuracy	0.19921875	(*.f64 (/.f64 #s(literal 1 binary64) y) z)
accuracy	4.232191233497888	(/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) z))

Samples

28.0ms

256×

valid

Compiler

Compiled 40 to 16 computations (60% saved)

Precisions

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

ival-div: 3.0ms (54.6% of total)

ival-mult: 2.0ms (36.4% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0.2%)

Memory

7.1MiB live, 7.1MiB allocated

Counts

3 → 3

Calls

Call 1

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

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

Calls

9 calls:

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

simplify3.0ms (0.1%)

Memory

5.8MiB live, 5.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	13	11
2	16	11
3	17	11
0	17	11

Stop Event

1×	iter limit
1×	saturated

Counts

3 → 3

Calls

Call 1

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

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

rewrite103.0ms (3.6%)

Memory

-13.6MiB live, 147.8MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	15
0	10	15
1	32	11
2	143	11
3	706	11
4	3823	11
0	8865	11

Stop Event

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

Counts

3 → 358

Calls

Call 1

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

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

eval50.0ms (1.7%)

Memory: 20.1MiB live, 103.7MiB allocated
Compiler: Compiled 4 074 to 872 computations (78.6% saved)

prune9.0ms (0.3%)

Memory

-13.2MiB live, 24.5MiB allocated

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	361	0	361
Fresh	0	0	0
Picked	0	1	1
Done	0	7	7
Total	361	8	369

Accuracy

100.0%

Counts

369 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	90.5%	(/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (/.f64 #s(literal -1 binary64) y) x))
✓	91.7%	(/.f64 (*.f64 x y) z)
✓	93.4%	(/.f64 x (/.f64 z y))
✓	93.3%	(/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) z))
✓	91.0%	(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y x)))
✓	93.2%	(*.f64 (/.f64 y z) x)
✓	94.6%	(*.f64 (/.f64 x z) y)
✓	91.7%	(.f64 (/.f64 #s(literal -1 binary64) z) (.f64 (neg.f64 x) y))

Compiler

Compiled 116 to 81 computations (30.2% saved)

regimes113.0ms (3.9%)

Memory

-2.1MiB live, 37.1MiB allocated

Counts

10 → 2

Calls

Call 1

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

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

Calls

5 calls:

99.0ms	y
3.0ms	x
3.0ms	z
3.0ms	(*.f64 x y)
3.0ms	(/.f64 (*.f64 x y) z)

Results

Accuracy	Segments	Branch
96.8%	2	`x`
97.3%	2	`y`
99.8%	2	`z`
99.8%	2	`(/.f64 (*.f64 x y) z)`
99.8%	3	`(*.f64 x y)`

Compiler

Compiled 11 to 18 computations (-63.6% saved)

regimes7.0ms (0.2%)

Memory

12.8MiB live, 12.8MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

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
94.6%	1	`x`
94.6%	1	`y`
94.6%	1	`(*.f64 x y)`
94.6%	1	`(/.f64 (*.f64 x y) z)`
94.6%	1	`z`

Compiler

Compiled 11 to 18 computations (-63.6% saved)

bsearch26.0ms (0.9%)

Memory

-32.0MiB live, 17.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
25.0ms	23887.854253744797	193012265574.2887

Samples

20.0ms

144×

valid

Compiler

Compiled 98 to 119 computations (-21.4% saved)

Precisions

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

ival-div: 1.0ms (47.3% of total)

ival-mult: 1.0ms (47.3% of total)

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

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

simplify24.0ms (0.8%)

Memory

18.5MiB live, 57.1MiB allocated

Algorithm

1×	egg-herbie

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 1150000000 binary64)) (.f64 (/.f64 x z) y) (.f64 (/.f64 y z) x))
(*.f64 (/.f64 x z) y)

Outputs
(if (<=.f64 z #s(literal 1150000000 binary64)) (.f64 (/.f64 x z) y) (.f64 (/.f64 y z) x))
(if (<=.f64 z #s(literal 1150000000 binary64)) (.f64 y (/.f64 x z)) (.f64 (/.f64 y z) x))
(*.f64 (/.f64 x z) y)
(*.f64 y (/.f64 x z))

soundness96.0ms (3.3%)

Memory

6.3MiB live, 83.3MiB allocated

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 49 to 31 computations (36.7% saved)

preprocess546.0ms (18.9%)

Memory: 1.0MiB live, 477.0MiB allocated
Compiler: Compiled 318 to 220 computations (30.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	13	31
1	22	31
2	37	31
3	42	31
4	50	31
5	61	31
6	72	31
7	93	31
8	116	31
9	118	31
10	119	31
0	119	31

Iter	Nodes	Cost
0	13	31
1	22	31
2	37	31
3	42	31
4	50	31
5	61	31
6	72	31
7	93	31
8	116	31
9	118	31
10	119	31
0	119	31

start0.0ms (0%)

analyze50.0ms (1.7%)

sample647.0ms (22.3%)

explain122.0ms (4.2%)

preprocess55.0ms (1.9%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize18.0ms (0.6%)

series7.0ms (0.2%)

simplify2.0ms (0.1%)

rewrite90.0ms (3.1%)

eval25.0ms (0.9%)

prune5.0ms (0.2%)

simplify61.0ms (2.1%)

localize60.0ms (2.1%)

series17.0ms (0.6%)

simplify5.0ms (0.2%)

rewrite143.0ms (4.9%)

eval162.0ms (5.6%)

prune35.0ms (1.2%)

simplify55.0ms (1.9%)

localize65.0ms (2.2%)

series7.0ms (0.3%)

simplify3.0ms (0.1%)

rewrite174.0ms (6%)

eval58.0ms (2%)

prune8.0ms (0.3%)

simplify4.0ms (0.1%)

localize33.0ms (1.1%)

series4.0ms (0.2%)

simplify3.0ms (0.1%)

rewrite103.0ms (3.6%)

eval50.0ms (1.7%)

prune9.0ms (0.3%)

regimes113.0ms (3.9%)

regimes7.0ms (0.2%)

bsearch26.0ms (0.9%)

simplify24.0ms (0.8%)

soundness96.0ms (3.3%)

preprocess546.0ms (18.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	13	31
1	22	31
2	37	31
3	42	31
4	50	31
5	61	31
6	72	31
7	93	31
8	116	31
9	118	31
10	119	31
0	119	31