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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze39.0ms (1.7%)

Memory

-23.1MiB live, 57.9MiB 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)

sample723.0ms (32.2%)

Memory

45.7MiB live, 947.1MiB allocated

Samples

377.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 156.0ms

ival-div: 75.0ms (47.9% of total)

ival-mult: 72.0ms (46% of total)

ival-true: 6.0ms (3.8% of total)

ival-assert: 3.0ms (1.9% of total)

Bogosity

explain70.0ms (3.1%)

Memory

-11.9MiB live, 149.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
25	-	1	(-3.978858929902288e-21 8.025740071750986e-303 -1.9559899884617305e-243)	`(/.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	13	0
↳	`(*.f64 x y)`	underflow	35
`/.f64`	`(/.f64 (*.f64 x y) z)`	o/n	11	0
↳	`(*.f64 x y)`	overflow	36

Confusion

	Predicted +	Predicted -
+	24	1
-	0	231

Precision

1.0

Recall

0.96

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	24	0	1
-	0	0	231

Precision?

1.0

Recall?

0.96

Freqs

test

number	freq
0	232
1	24

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 (47.6% of total)

ival-mult: 4.0ms (47.6% of total)

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

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

preprocess56.0ms (2.5%)

Memory

3.6MiB live, 41.2MiB 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

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	90.7%	(/.f64 (*.f64 x y) z)

Compiler

Compiled 5 to 5 computations (0% saved)

simplify3.0ms (0.1%)

Memory

4.5MiB live, 4.5MiB 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

localize17.0ms (0.8%)

Memory

-8.2MiB live, 29.1MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(*.f64 x y)
accuracy	5.944407152190328	(/.f64 (*.f64 x y) z)

Samples

11.0ms

256×

valid

Compiler

Compiled 24 to 12 computations (50% saved)

Precisions

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

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

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

ival-true: 1.0ms (22.6% of total)

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

series9.0ms (0.4%)

Memory

-15.5MiB live, 21.9MiB 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
2.0ms	z	@	-inf	((/ (* x y) z) (* x y))
1.0ms	x	@	-inf	((/ (* x y) z) (* x y))
1.0ms	z	@	0	((/ (* x y) z) (* x y))
1.0ms	y	@	-inf	((/ (* x y) z) (* x y))
1.0ms	x	@	inf	((/ (* x y) z) (* x y))

simplify3.0ms (0.1%)

Memory

9.8MiB live, 9.8MiB 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)

rewrite76.0ms (3.4%)

Memory

-0.3MiB live, 80.6MiB 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))

eval16.0ms (0.7%)

Memory: -5.3MiB live, 32.4MiB allocated
Compiler: Compiled 1 383 to 298 computations (78.5% saved)

prune4.0ms (0.2%)

Memory

10.6MiB live, 10.6MiB allocated

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	129	5	134
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	129	6	135

Accuracy

100.0%

Counts

135 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	90.7%	(/.f64 (*.f64 x y) z)
▶	96.0%	(/.f64 y (/.f64 z x))
▶	92.5%	(/.f64 x (/.f64 z y))
▶	92.2%	(*.f64 (/.f64 y z) x)
▶	96.5%	(*.f64 (/.f64 x z) y)
▶	90.6%	(.f64 (/.f64 #s(literal -1 binary64) z) (.f64 (neg.f64 x) y))

Compiler

Compiled 61 to 61 computations (0% saved)

simplify60.0ms (2.7%)

Memory

-2.2MiB live, 37.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	65
0	28	62
1	44	62
2	78	62
3	191	62
4	364	62
5	544	62
6	829	62
7	1812	62
8	2519	62
9	2762	62
10	2969	62
11	3129	62
12	3149	62
13	3149	62
0	3149	62

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

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

localize85.0ms (3.8%)

Memory

-44.6MiB live, 68.9MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 #s(literal -1 binary64) z)
accuracy	0	(*.f64 (neg.f64 x) y)
accuracy	0	(neg.f64 x)
accuracy	5.995188402190328	(.f64 (/.f64 #s(literal -1 binary64) z) (.f64 (neg.f64 x) y))
accuracy	0	(/.f64 z x)
accuracy	2.56848391318043	(/.f64 y (/.f64 z x))
accuracy	0	(/.f64 z y)
accuracy	4.824051654208561	(/.f64 x (/.f64 z y))
accuracy	0	(/.f64 y z)
accuracy	5.002479103196658	(*.f64 (/.f64 y z) x)
accuracy	0	(/.f64 x z)
accuracy	2.268144538714662	(*.f64 (/.f64 x z) y)

Samples

31.0ms

256×

valid

Compiler

Compiled 132 to 34 computations (74.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-div: 11.0ms (59.5% of total)

ival-mult: 6.0ms (32.4% of total)

ival-neg: 1.0ms (5.4% of total)

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

exact: 0.0ms (0% of total)

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

series13.0ms (0.6%)

Memory

23.1MiB live, 23.1MiB allocated

Counts

12 → 8

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	z	@	0	((/ x z) (* (/ x z) y) (/ y z) (* (/ y z) x) (/ x (/ z y)) (/ z y) (/ y (/ z x)) (/ z x) (* (/ -1 z) (* (neg x) y)) (/ -1 z) (* (neg x) y) (neg x))
2.0ms	z	@	-inf	((/ x z) (* (/ x z) y) (/ y z) (* (/ y z) x) (/ x (/ z y)) (/ z y) (/ y (/ z x)) (/ z x) (* (/ -1 z) (* (neg x) y)) (/ -1 z) (* (neg x) y) (neg x))
1.0ms	x	@	-inf	((/ x z) (* (/ x z) y) (/ y z) (* (/ y z) x) (/ x (/ z y)) (/ z y) (/ y (/ z x)) (/ z x) (* (/ -1 z) (* (neg x) y)) (/ -1 z) (* (neg x) y) (neg x))
1.0ms	x	@	0	((/ x z) (* (/ x z) y) (/ y z) (* (/ y z) x) (/ x (/ z y)) (/ z y) (/ y (/ z x)) (/ z x) (* (/ -1 z) (* (neg x) y)) (/ -1 z) (* (neg x) y) (neg x))
1.0ms	x	@	inf	((/ x z) (* (/ x z) y) (/ y z) (* (/ y z) x) (/ x (/ z y)) (/ z y) (/ y (/ z x)) (/ z x) (* (/ -1 z) (* (neg x) y)) (/ -1 z) (* (neg x) y) (neg x))

simplify6.0ms (0.2%)

Memory

9.1MiB live, 9.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	26
1	20	26
2	34	26
3	39	26
4	47	26
5	58	26
6	69	26
7	90	26
8	113	26
9	115	26
10	116	26
0	116	26

Stop Event

1×	iter limit
1×	saturated

Counts

8 → 8

Calls

Call 1

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

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

rewrite213.0ms (9.5%)

Memory

-15.7MiB live, 106.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	49
0	28	46
1	75	46
2	332	46
3	1770	46
4	6858	46
0	8032	46

Stop Event

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

Counts

12 → 1 244

Calls

Call 1

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

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

eval83.0ms (3.7%)

Memory: 29.0MiB live, 139.9MiB allocated
Compiler: Compiled 8 432 to 1 575 computations (81.3% saved)

prune25.0ms (1.1%)

Memory

-11.6MiB live, 31.5MiB allocated

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	688	0	688
Fresh	0	0	0
Picked	0	5	5
Done	0	1	1
Total	688	6	694

Accuracy

100.0%

Counts

694 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	90.7%	(/.f64 (*.f64 x y) z)
✓	96.0%	(/.f64 y (/.f64 z x))
✓	92.5%	(/.f64 x (/.f64 z y))
✓	92.2%	(*.f64 (/.f64 y z) x)
✓	96.5%	(*.f64 (/.f64 x z) y)
✓	90.6%	(.f64 (/.f64 #s(literal -1 binary64) z) (.f64 (neg.f64 x) y))

Compiler

Compiled 66 to 51 computations (22.7% saved)

regimes14.0ms (0.6%)

Memory

-10.0MiB live, 28.7MiB allocated

Counts

6 → 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 y (/.f64 z x))
(.f64 (/.f64 #s(literal -1 binary64) z) (.f64 (neg.f64 x) y))

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

Calls

5 calls:

4.0ms	z
3.0ms	x
3.0ms	y
2.0ms	(*.f64 x y)
2.0ms	(/.f64 (*.f64 x y) z)

Results

Accuracy	Segments	Branch
96.5%	1	`x`
96.5%	1	`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)

regimes5.0ms (0.2%)

Memory

16.6MiB live, 16.6MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
96.5%	1	`x`
96.5%	1	`(*.f64 x y)`
96.5%	1	`(/.f64 (*.f64 x y) z)`
96.5%	1	`z`

Compiler

Compiled 10 to 15 computations (-50% saved)

bsearch12.0ms (0.5%)

Memory

-20.1MiB live, 17.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	5.20218682156683e-59	2.9462835396164797e-55

Samples

5.0ms

128×

valid

Compiler

Compiled 88 to 107 computations (-21.6% saved)

Precisions

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

ival-div: 1.0ms (51.5% of total)

ival-mult: 1.0ms (51.5% of total)

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

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

simplify24.0ms (1.1%)

Memory

26.0MiB live, 62.0MiB 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 6890703552635699/1766847064778384329583297500742918515827483896875618958121606201292619776 binary64)) (.f64 (/.f64 x z) y) (.f64 (/.f64 y z) x))
(*.f64 (/.f64 x z) y)

Outputs
(if (<=.f64 z #s(literal 6890703552635699/1766847064778384329583297500742918515827483896875618958121606201292619776 binary64)) (.f64 (/.f64 x z) y) (.f64 (/.f64 y z) x))
(if (<=.f64 z #s(literal 6890703552635699/1766847064778384329583297500742918515827483896875618958121606201292619776 binary64)) (.f64 y (/.f64 x z)) (.f64 (/.f64 y z) x))
(*.f64 (/.f64 x z) y)
(*.f64 y (/.f64 x z))

soundness99.0ms (4.4%)

Memory

-8.4MiB live, 79.7MiB 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)

preprocess592.0ms (26.4%)

Memory: -25.8MiB live, 370.0MiB 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	26
1	20	26
2	34	26
3	39	26
4	47	26
5	58	26
6	69	26
7	90	26
8	113	26
9	115	26
10	116	26
0	116	26

Iter	Nodes	Cost
0	13	26
1	20	26
2	34	26
3	39	26
4	47	26
5	58	26
6	69	26
7	90	26
8	113	26
9	115	26
10	116	26
0	116	26

start0.0ms (0%)

analyze39.0ms (1.7%)

sample723.0ms (32.2%)

explain70.0ms (3.1%)

preprocess56.0ms (2.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize17.0ms (0.8%)

series9.0ms (0.4%)

simplify3.0ms (0.1%)

rewrite76.0ms (3.4%)

eval16.0ms (0.7%)

prune4.0ms (0.2%)

simplify60.0ms (2.7%)

localize85.0ms (3.8%)

series13.0ms (0.6%)

simplify6.0ms (0.2%)

rewrite213.0ms (9.5%)

eval83.0ms (3.7%)

prune25.0ms (1.1%)

regimes14.0ms (0.6%)

regimes5.0ms (0.2%)

bsearch12.0ms (0.5%)

simplify24.0ms (1.1%)

soundness99.0ms (4.4%)

preprocess592.0ms (26.4%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	13	26
1	20	26
2	34	26
3	39	26
4	47	26
5	58	26
6	69	26
7	90	26
8	113	26
9	115	26
10	116	26
0	116	26