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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze38.0ms (2%)

Memory

-27.1MiB live, 56.2MiB 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)

sample807.0ms (42.9%)

Memory

27.4MiB live, 725.1MiB allocated

Samples

476.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 231.0ms

ival-div: 115.0ms (49.8% of total)

ival-mult: 106.0ms (45.9% of total)

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

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

Bogosity

explain51.0ms (2.7%)

Memory

14.8MiB live, 135.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
20	-	3	(6.959029021390646e-154 -1.0110725681933464e-167 3.2342461075975433e-249)	`(/.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	10	0
↳	`(*.f64 x y)`	underflow	35
`/.f64`	`(/.f64 (*.f64 x y) z)`	o/n	7	0
↳	`(*.f64 x y)`	overflow	17

Confusion

	Predicted +	Predicted -
+	17	3
-	0	236

Precision

1.0

Recall

0.85

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	17	0	3
-	0	0	236

Precision?

1.0

Recall?

0.85

Freqs

test

number	freq
0	239
1	17

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 31 to 19 computations (38.7% saved)

Precisions

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

ival-mult: 4.0ms (49.1% of total)

ival-div: 3.0ms (36.8% of total)

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

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

preprocess69.0ms (3.6%)

Memory

-1.7MiB live, 35.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	56
1	59	48
2	146	48
3	491	48
4	1241	48
5	1945	48
6	1995	48
7	2013	48
8	2053	48
9	2077	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: 0.1MiB live, 0.1MiB 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
▶	92.9%	(/.f64 (*.f64 x y) z)

Compiler

Compiled 5 to 5 computations (0% saved)

simplify3.0ms (0.2%)

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

localize21.0ms (1.1%)

Memory

-17.6MiB live, 30.2MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(*.f64 x y)
accuracy	4.535044867643674	(/.f64 (*.f64 x y) z)

Samples

18.0ms

256×

valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

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

ival-mult: 5.0ms (76.7% of total)

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

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

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

series7.0ms (0.4%)

Memory

17.7MiB live, 17.7MiB 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	y	@	-inf	((/ (* x y) z) (* x y))
1.0ms	x	@	inf	((/ (* x y) z) (* x y))
1.0ms	x	@	0	((/ (* x y) z) (* x y))

simplify7.0ms (0.4%)

Memory

-30.0MiB live, 7.8MiB 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)

rewrite72.0ms (3.8%)

Memory

9.6MiB live, 85.1MiB 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	2381	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))

eval22.0ms (1.2%)

Memory: -6.2MiB live, 35.0MiB allocated
Compiler: Compiled 1 383 to 298 computations (78.5% saved)

prune3.0ms (0.2%)

Memory

8.8MiB live, 8.8MiB allocated

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	130	4	134
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	130	5	135

Accuracy

100.0%

Counts

135 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	92.9%	(/.f64 (*.f64 x y) z)
▶	88.8%	(/.f64 y (/.f64 z x))
▶	93.9%	(/.f64 x (/.f64 z y))
▶	92.8%	(*.f64 (/.f64 y z) x)
▶	89.4%	(*.f64 (/.f64 x z) y)

Compiler

Compiled 25 to 25 computations (0% saved)

simplify4.0ms (0.2%)

Memory

5.6MiB live, 5.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
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	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	11	44
0	19	44
1	25	44
2	25	44
0	25	44

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

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

localize34.0ms (1.8%)

Memory

-3.2MiB live, 71.5MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f64 z x)
accuracy	7.181461882799731	(/.f64 y (/.f64 z x))
accuracy	0.0	(/.f64 z y)
accuracy	3.884852860298027	(/.f64 x (/.f64 z y))
accuracy	0.0	(/.f64 y z)
accuracy	4.619729540725923	(*.f64 (/.f64 y z) x)
accuracy	0.0	(/.f64 x z)
accuracy	6.762584494150171	(*.f64 (/.f64 x z) y)

Samples

26.0ms

256×

valid

Compiler

Compiled 46 to 13 computations (71.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-div: 12.0ms (77% of total)

ival-mult: 3.0ms (19.2% of total)

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

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

series10.0ms (0.6%)

Memory

20.0MiB live, 20.0MiB allocated

Counts

8 → 5

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

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

Calls

9 calls:

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

simplify2.0ms (0.1%)

Memory

3.8MiB live, 3.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	11	17
2	13	17
3	14	17
0	14	17

Stop Event

1×	iter limit
1×	saturated

Counts

5 → 5

Calls

Call 1

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

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

rewrite98.0ms (5.2%)

Memory

-47.6MiB live, 69.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	32
0	19	32
1	52	32
2	239	32
3	1226	32
4	5324	32
0	9074	32

Stop Event

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

Counts

8 → 540

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

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

eval76.0ms (4%)

Memory: -8.2MiB live, 66.7MiB allocated
Compiler: Compiled 3 373 to 812 computations (75.9% saved)

prune6.0ms (0.3%)

Memory

18.1MiB live, 18.1MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	320	0	320
Fresh	0	0	0
Picked	0	4	4
Done	0	1	1
Total	320	5	325

Accuracy

100.0%

Counts

325 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	92.9%	(/.f64 (*.f64 x y) z)
✓	88.8%	(/.f64 y (/.f64 z x))
✓	93.9%	(/.f64 x (/.f64 z y))
✓	92.8%	(*.f64 (/.f64 y z) x)
✓	89.4%	(*.f64 (/.f64 x z) y)

Compiler

Compiled 50 to 38 computations (24% saved)

regimes54.0ms (2.9%)

Memory

-17.8MiB live, 19.3MiB allocated

Counts

5 → 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))

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

Calls

5 calls:

45.0ms	z
2.0ms	y
2.0ms	x
2.0ms	(*.f64 x y)
2.0ms	(/.f64 (*.f64 x y) z)

Results

Accuracy	Segments	Branch
97.3%	3	`x`
97.2%	2	`y`
99.8%	2	`z`
99.8%	2	`(/.f64 (*.f64 x y) z)`
99.8%	3	`(*.f64 x y)`

Compiler

Compiled 11 to 18 computations (-63.6% saved)

regimes3.0ms (0.2%)

Memory

6.3MiB live, 6.3MiB allocated

Counts

3 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 6 to 8 computations (-33.3% saved)

regimes6.0ms (0.3%)

Memory

11.8MiB live, 11.8MiB 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	z
1.0ms	y
1.0ms	x
1.0ms	(*.f64 x y)
1.0ms	(/.f64 (*.f64 x y) z)

Results

Accuracy	Segments	Branch
89.4%	1	`x`
89.4%	1	`y`
89.4%	1	`(*.f64 x y)`
89.4%	1	`z`
89.4%	1	`(/.f64 (*.f64 x y) z)`

Compiler

Compiled 11 to 18 computations (-63.6% saved)

bsearch8.0ms (0.4%)

Memory

10.0MiB live, 10.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
7.0ms	4.110155257044756e-31	5.548264049785913e-30

Samples

3.0ms

96×

valid

Compiler

Compiled 68 to 83 computations (-22.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

ival-div: 1.0ms (75.2% of total)

ival-mult: 1.0ms (75.2% of total)

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

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

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	9.066663018117476e-38	7.77129536077143e-36

Compiler

Compiled 8 to 11 computations (-37.5% saved)

simplify21.0ms (1.1%)

Memory

-23.2MiB live, 21.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	37

Stop Event

1×

saturated

Calls

Call 1

Inputs

(if (<=.f64 z #s(literal 6279889847906223/1427247692705959881058285969449495136382746624 binary64)) (*.f64 (/.f64 x z) y) (/.f64 x (/.f64 z y)))

(if (<=.f64 (/.f64 (*.f64 x y) z) #s(literal 4789048565205903/47890485652059026823698344598447161988085597568237568 binary64)) (*.f64 (/.f64 y z) x) (*.f64 (/.f64 x z) y))

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

Outputs

(if (<=.f64 z #s(literal 6279889847906223/1427247692705959881058285969449495136382746624 binary64)) (*.f64 (/.f64 x z) y) (/.f64 x (/.f64 z y)))

(if (<=.f64 (/.f64 (*.f64 x y) z) #s(literal 4789048565205903/47890485652059026823698344598447161988085597568237568 binary64)) (*.f64 (/.f64 y z) x) (*.f64 (/.f64 x z) y))

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

soundness135.0ms (7.2%)

Memory

21.5MiB live, 93.5MiB 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	2381	8

Stop Event

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

Compiler

Compiled 87 to 52 computations (40.2% saved)

preprocess323.0ms (17.2%)

Memory: -20.0MiB live, 463.6MiB allocated
Compiler: Compiled 242 to 154 computations (36.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze38.0ms (2%)

sample807.0ms (42.9%)

explain51.0ms (2.7%)

preprocess69.0ms (3.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.2%)

localize21.0ms (1.1%)

series7.0ms (0.4%)

simplify7.0ms (0.4%)

rewrite72.0ms (3.8%)

eval22.0ms (1.2%)

prune3.0ms (0.2%)

simplify4.0ms (0.2%)

localize34.0ms (1.8%)

series10.0ms (0.6%)

simplify2.0ms (0.1%)

rewrite98.0ms (5.2%)

eval76.0ms (4%)

prune6.0ms (0.3%)

regimes54.0ms (2.9%)

regimes3.0ms (0.2%)

regimes6.0ms (0.3%)

bsearch8.0ms (0.4%)

bsearch0.0ms (0%)

simplify21.0ms (1.1%)

soundness135.0ms (7.2%)

preprocess323.0ms (17.2%)

end0.0ms (0%)

Profiling