Metrics for Crypto.Random.Test:calculate from crypto-random-0.0.9

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze67.0ms (2.1%)

Memory

-10.8MiB live, 65.6MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample1.1s (33.9%)

Memory

11.9MiB live, 727.5MiB allocated

Samples

693.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 386.0ms

ival-div: 132.0ms (34.2% of total)

ival-add: 131.0ms (33.9% of total)

ival-mult: 113.0ms (29.3% of total)

ival-true: 6.0ms (1.6% of total)

ival-assert: 3.0ms (0.8% of total)

Bogosity

explain107.0ms (3.4%)

Memory

-3.3MiB live, 118.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
28	-	1	(-2.2411238313653388e-172 9.07540857247445e-161 5.661042254092837e-309)	`(/.f64 (*.f64 y y) z)`
0	-	0	-	`(+.f64 x (/.f64 (*.f64 y y) z))`
0	-	0	-	`y`
0	-	0	-	`(*.f64 y y)`
0	-	0	-	`z`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (*.f64 y y) z)`	o/n	10	0
↳	`(*.f64 y y)`	overflow	64
`/.f64`	`(/.f64 (*.f64 y y) z)`	u/n	4	0
↳	`(*.f64 y y)`	underflow	61

Confusion

	Predicted +	Predicted -
+	14	1
-	0	241

Precision

1.0

Recall

0.9333333333333333

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	14	0	1
-	0	0	241

Precision?

1.0

Recall?

0.9333333333333333

Freqs

test

number	freq
0	242
1	14

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Total Time

32.566650390625

Average Time

0.1272134780883789

Samples

24.0ms

256×

valid

Compiler

Compiled 63 to 26 computations (58.7% saved)

Precisions

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

ival-div: 2.0ms (39.8% of total)

ival-mult: 2.0ms (39.8% of total)

ival-add: 1.0ms (19.9% of total)

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

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

preprocess74.0ms (2.4%)

Memory

4.5MiB live, 43.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	68
1	72	64
2	175	64
3	519	64
4	1164	64
5	1897	64
6	2027	64
7	2087	64
8	2133	64
9	2145	64
0	6	7
0	9	7
1	12	7
2	13	7
0	13	6

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs y)

Compiler

Compiled 7 to 6 computations (14.3% 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
▶	94.8%	(+.f64 x (/.f64 (*.f64 y y) z))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify3.0ms (0.1%)

Memory

4.7MiB live, 4.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 y y)
cost-diff	0	(/.f64 (*.f64 y y) z)
cost-diff	128	(+.f64 x (/.f64 (*.f64 y y) z))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	9	18
1	12	18
2	13	18
0	13	17

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize36.0ms (1.2%)

Memory

-7.5MiB live, 30.5MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 x (/.f64 (*.f64 y y) z))
accuracy	0	(*.f64 y y)
accuracy	6.09291774916278	(/.f64 (*.f64 y y) z)

Samples

31.0ms

256×

valid

Compiler

Compiled 38 to 14 computations (63.2% saved)

Precisions

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

ival-div: 2.0ms (40.1% of total)

ival-mult: 2.0ms (40.1% of total)

ival-add: 1.0ms (20.1% of total)

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

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

series5.0ms (0.2%)

Memory

10.6MiB live, 10.6MiB allocated

Counts

3 → 8

Calls

Call 1

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

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

Calls

9 calls:

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

simplify123.0ms (4%)

Memory

13.8MiB live, 133.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	46
1	58	46
2	150	46
3	489	46
4	2240	46
5	4077	46
6	6068	46
7	7783	46
0	8068	41

Stop Event

1×	iter limit
1×	node limit

Counts

8 → 7

Calls

Call 1

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

Outputs
(/ (pow y 2) z)
(/.f64 (*.f64 y y) z)
(+ x (/ (pow y 2) z))
(fma.f64 (/.f64 y z) y x)
x
(* x (+ 1 (/ (pow y 2) (* x z))))
(fma.f64 (/.f64 y z) y x)
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1)))
(fma.f64 (/.f64 y z) y x)
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(fma.f64 (/.f64 y z) y x)
(/ (+ (* x z) (pow y 2)) z)
(/.f64 (fma.f64 z x (*.f64 y y)) z)

rewrite250.0ms (8.1%)

Memory

-26.2MiB live, 173.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	35	15
2	269	15
3	4534	15
0	8159	14

Stop Event

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

Counts

3 → 147

Calls

Call 1

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

Outputs
(.f64 (/.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 (/.f64 (.f64 y y) z) x) (/.f64 (.f64 y y) z)) #s(literal 2 binary64)))) (-.f64 (.f64 x x) (.f64 (-.f64 (/.f64 (.f64 y y) z) x) (/.f64 (.f64 y y) z))))
(.f64 (/.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (-.f64 (/.f64 (.f64 y y) z) x) (/.f64 (.f64 y y) z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 (/.f64 (.f64 y y) z) x) (/.f64 (.f64 y y) z)) (-.f64 (.f64 (-.f64 (/.f64 (.f64 y y) z) x) (/.f64 (.f64 y y) z)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (.f64 y y) z) #s(literal 2 binary64))) (-.f64 (.f64 x x) (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64)))) (fma.f64 (/.f64 y z) y x))
(.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (.f64 y y) z) #s(literal 2 binary64))) (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (/.f64 (.f64 y y) z) (fma.f64 (/.f64 y z) y x) (*.f64 x x)))
(.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 (neg.f64 x) x)) (pow.f64 (-.f64 (/.f64 (*.f64 y y) z) x) #s(literal -1 binary64)))
(.f64 (pow.f64 (-.f64 x (/.f64 (.f64 y y) z)) #s(literal -1 binary64)) (-.f64 (.f64 x x) (pow.f64 (/.f64 (.f64 y y) z) #s(literal 2 binary64))))
(.f64 (pow.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 x (-.f64 x (/.f64 (*.f64 y y) z)))) #s(literal -1 binary64)) (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))))
(.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (.f64 y y) z) #s(literal 2 binary64)))) (pow.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 (.f64 y y) z)) #s(literal -1 binary64)))
(.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 x (-.f64 x (/.f64 (*.f64 y y) z))))) #s(literal -1 binary64)))
(.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (.f64 y y) z) #s(literal 2 binary64))) (pow.f64 (-.f64 x (/.f64 (.f64 y y) z)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) y x))
(.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 x (-.f64 x (/.f64 (.f64 y y) z)))) (/.f64 (fma.f64 (/.f64 y z) y x) (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 x (-.f64 x (/.f64 (*.f64 y y) z))))))
(.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 x (-.f64 x (/.f64 (.f64 y y) z)))) (.f64 (fma.f64 (/.f64 y z) y x) (pow.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 x (-.f64 x (/.f64 (.f64 y y) z)))) #s(literal -1 binary64))))
(.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 x (-.f64 x (/.f64 (*.f64 y y) z)))) #s(literal -1 binary64)))
(.f64 (fma.f64 (/.f64 y z) y x) (/.f64 (-.f64 x (/.f64 (.f64 y y) z)) (-.f64 x (/.f64 (*.f64 y y) z))))
(.f64 (fma.f64 (/.f64 y z) y x) (.f64 (-.f64 x (/.f64 (.f64 y y) z)) (pow.f64 (-.f64 x (/.f64 (.f64 y y) z)) #s(literal -1 binary64))))
(pow.f64 (/.f64 (-.f64 (/.f64 (.f64 y y) z) x) (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 (neg.f64 x) x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (fma.f64 (/.f64 y z) y x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 (/.f64 y z) y x) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (/.f64 z (.f64 y y)) #s(literal -4 binary64))) (pow.f64 (-.f64 x (/.f64 (.f64 y y) z)) #s(literal -1 binary64))) (fma.f64 x x (pow.f64 (/.f64 (.f64 y y) z) #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 z (.f64 y y)) #s(literal -6 binary64))) (pow.f64 (-.f64 x (/.f64 (.f64 y y) z)) #s(literal -1 binary64))) (+.f64 (fma.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 z #s(literal -4 binary64)) (pow.f64 (.f64 (/.f64 (*.f64 y y) z) x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 z (.f64 y y)) #s(literal -6 binary64))) (pow.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 x (-.f64 x (/.f64 (.f64 y y) z)))) #s(literal -1 binary64))) (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (.f64 (fma.f64 (pow.f64 z #s(literal -9 binary64)) (pow.f64 y #s(literal 18 binary64)) (pow.f64 x #s(literal 9 binary64))) (pow.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 x (-.f64 x (/.f64 (.f64 y y) z)))) #s(literal -1 binary64))) (-.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 z (.f64 y y)) #s(literal -6 binary64))) (pow.f64 (.f64 (/.f64 (.f64 y y) z) x) #s(literal 3 binary64))))
(/.f64 (.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 x (-.f64 x (/.f64 (*.f64 y y) z)))))
(/.f64 (-.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 x (/.f64 (.f64 y y) z)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) z) (.f64 (-.f64 x (/.f64 (.f64 y y) z)) z)) #s(literal 2 binary64))) (fma.f64 x (/.f64 x (-.f64 x (/.f64 (.f64 y y) z))) (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) z) (.f64 (-.f64 x (/.f64 (*.f64 y y) z)) z))))
(/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 x (/.f64 (.f64 y y) z)) #s(literal 3 binary64))) (/.f64 (pow.f64 (/.f64 z (.f64 y y)) #s(literal -6 binary64)) (pow.f64 (-.f64 x (/.f64 (.f64 y y) z)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 x (/.f64 (.f64 y y) z)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) z) (.f64 (-.f64 x (/.f64 (.f64 y y) z)) z)) #s(literal 2 binary64)) (.f64 (.f64 x (/.f64 x (-.f64 x (/.f64 (.f64 y y) z)))) (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) z) (.f64 (-.f64 x (/.f64 (.f64 y y) z)) z))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 (neg.f64 x) x))) (neg.f64 (-.f64 (/.f64 (.f64 y y) z) x)))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (.f64 y y) z) #s(literal 2 binary64))))) (neg.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 (*.f64 y y) z))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 x (-.f64 x (/.f64 (.f64 y y) z)))))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (/.f64 z (.f64 y y)) #s(literal -4 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 x x (pow.f64 (/.f64 (.f64 y y) z) #s(literal 2 binary64))) (-.f64 x (/.f64 (*.f64 y y) z))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 z (.f64 y y)) #s(literal -6 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (fma.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 z #s(literal -4 binary64)) (pow.f64 (.f64 (/.f64 (.f64 y y) z) x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 x (/.f64 (.f64 y y) z))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 z (.f64 y y)) #s(literal -6 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 x (-.f64 x (/.f64 (*.f64 y y) z))))))
(/.f64 (.f64 (fma.f64 (pow.f64 z #s(literal -9 binary64)) (pow.f64 y #s(literal 18 binary64)) (pow.f64 x #s(literal 9 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 z (.f64 y y)) #s(literal -6 binary64))) (pow.f64 (.f64 (/.f64 (.f64 y y) z) x) #s(literal 3 binary64))) (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 x (-.f64 x (/.f64 (*.f64 y y) z))))))
(/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 x (/.f64 (.f64 y y) z))) (.f64 (-.f64 x (/.f64 (.f64 y y) z)) (pow.f64 (/.f64 (.f64 y y) z) #s(literal 2 binary64)))) (pow.f64 (-.f64 x (/.f64 (*.f64 y y) z)) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (/.f64 z (.f64 y y)) #s(literal -4 binary64))) (.f64 (-.f64 x (/.f64 (.f64 y y) z)) (fma.f64 x x (pow.f64 (/.f64 (.f64 y y) z) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 (neg.f64 x) x)) (-.f64 (/.f64 (.f64 y y) z) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 z (.f64 y y)) #s(literal -6 binary64))) (.f64 (-.f64 x (/.f64 (.f64 y y) z)) (+.f64 (fma.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 z #s(literal -4 binary64)) (pow.f64 (.f64 (/.f64 (*.f64 y y) z) x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 z (.f64 y y)) #s(literal -6 binary64))) (.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 x (-.f64 x (/.f64 (.f64 y y) z)))) (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (fma.f64 (pow.f64 z #s(literal -9 binary64)) (pow.f64 y #s(literal 18 binary64)) (pow.f64 x #s(literal 9 binary64))) (.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 x (-.f64 x (/.f64 (.f64 y y) z)))) (-.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 z (.f64 y y)) #s(literal -6 binary64))) (pow.f64 (.f64 (/.f64 (.f64 y y) z) x) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (.f64 y y) z) #s(literal 2 binary64)))) (fma.f64 #s(literal -1 binary64) x (/.f64 (*.f64 y y) z)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 x (-.f64 x (/.f64 (.f64 y y) z))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (fma.f64 (/.f64 y z) y x) #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (.f64 y y) z) #s(literal 2 binary64))) (-.f64 x (/.f64 (*.f64 y y) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (.f64 y y) z) x) (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 (neg.f64 x) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 (/.f64 y z) y x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (/.f64 y z) y x) #s(literal -1 binary64)))
(/.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 x (-.f64 x (/.f64 (.f64 y y) z)))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (.f64 y y) z) #s(literal 2 binary64)))) (-.f64 x (/.f64 (*.f64 y y) z))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 x (-.f64 x (/.f64 (.f64 y y) z))))))
(neg.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (.f64 y y) z) #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) x (/.f64 (*.f64 y y) z))))
(neg.f64 (/.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 x (-.f64 x (/.f64 (.f64 y y) z)))))))
(fma.f64 (exp.f64 (log.f64 (*.f64 (neg.f64 y) y))) (exp.f64 (log.f64 (/.f64 #s(literal -1 binary64) z))) x)
(fma.f64 (/.f64 (.f64 x x) (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (/.f64 (.f64 y y) z) (fma.f64 (/.f64 y z) y x) (.f64 x x)) (neg.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) z) (.f64 (-.f64 x (/.f64 (*.f64 y y) z)) z))))
(fma.f64 (/.f64 (.f64 x x) (-.f64 (.f64 x x) (pow.f64 (/.f64 (.f64 y y) z) #s(literal 2 binary64)))) (fma.f64 (/.f64 y z) y x) (neg.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) z) (.f64 (-.f64 x (/.f64 (*.f64 y y) z)) z))))
(fma.f64 (pow.f64 (/.f64 z (.f64 y y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z (.f64 y y)) #s(literal -1/2 binary64)) x)
(fma.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 y z) x)
(fma.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (neg.f64 y) z) x)
(fma.f64 (*.f64 #s(literal 1 binary64) y) (/.f64 y z) x)
(fma.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) y) x)
(fma.f64 (neg.f64 y) (*.f64 y (/.f64 #s(literal -1 binary64) z)) x)
(fma.f64 (neg.f64 y) (/.f64 y (neg.f64 z)) x)
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) (/.f64 y z)) x)
(fma.f64 (/.f64 y z) (*.f64 y #s(literal 1 binary64)) x)
(fma.f64 (/.f64 y z) y x)
(fma.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 y y) x)
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) z) x)
(fma.f64 #s(literal 1 binary64) x (/.f64 (*.f64 y y) z))
(fma.f64 (.f64 x x) (pow.f64 (-.f64 x (/.f64 (.f64 y y) z)) #s(literal -1 binary64)) (neg.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) z) (.f64 (-.f64 x (/.f64 (.f64 y y) z)) z))))
(fma.f64 (.f64 (neg.f64 y) y) (.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)) x)
(fma.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal -1 binary64) z) x)
(fma.f64 (/.f64 (*.f64 y y) z) #s(literal 1 binary64) x)
(fma.f64 (*.f64 y y) (pow.f64 z #s(literal -1 binary64)) x)
(fma.f64 y (*.f64 (/.f64 y z) #s(literal 1 binary64)) x)
(fma.f64 y (/.f64 y z) x)
(fma.f64 x (/.f64 x (-.f64 x (/.f64 (.f64 y y) z))) (neg.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) z) (.f64 (-.f64 x (/.f64 (*.f64 y y) z)) z))))
(fma.f64 x #s(literal 1 binary64) (/.f64 (*.f64 y y) z))
(-.f64 (/.f64 (pow.f64 (/.f64 (.f64 y y) z) #s(literal 2 binary64)) (-.f64 (/.f64 (.f64 y y) z) x)) (/.f64 (.f64 x x) (-.f64 (/.f64 (.f64 y y) z) x)))
(-.f64 (.f64 x (/.f64 x (-.f64 x (/.f64 (.f64 y y) z)))) (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) z) (.f64 (-.f64 x (/.f64 (.f64 y y) z)) z)))
(-.f64 x (*.f64 (neg.f64 y) (/.f64 y z)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 (/.f64 y z) y x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (.f64 x (/.f64 x (-.f64 x (/.f64 (.f64 y y) z)))) (neg.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) z) (.f64 (-.f64 x (/.f64 (.f64 y y) z)) z))))
(+.f64 (/.f64 (*.f64 y y) z) x)
(+.f64 x (/.f64 (*.f64 y y) z))
(.f64 (exp.f64 (log.f64 (.f64 (neg.f64 y) y))) (exp.f64 (log.f64 (/.f64 #s(literal -1 binary64) z))))
(.f64 (pow.f64 (/.f64 z (.f64 y y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z (*.f64 y y)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 y z))
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (neg.f64 y) z))
(.f64 (.f64 #s(literal 1 binary64) y) (/.f64 y z))
(.f64 (/.f64 #s(literal -1 binary64) z) (.f64 (neg.f64 y) y))
(.f64 (neg.f64 y) (.f64 y (/.f64 #s(literal -1 binary64) z)))
(*.f64 (neg.f64 y) (/.f64 y (neg.f64 z)))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 y) (/.f64 y z)))
(.f64 (/.f64 y z) (.f64 y #s(literal 1 binary64)))
(*.f64 (/.f64 y z) y)
(.f64 (pow.f64 z #s(literal -1 binary64)) (.f64 y y))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) z))
(.f64 (.f64 (neg.f64 y) y) (*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)))
(.f64 (.f64 (neg.f64 y) y) (/.f64 #s(literal -1 binary64) z))
(.f64 (/.f64 (.f64 y y) z) #s(literal 1 binary64))
(.f64 (.f64 y y) (pow.f64 z #s(literal -1 binary64)))
(.f64 y (.f64 (/.f64 y z) #s(literal 1 binary64)))
(*.f64 y (/.f64 y z))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 z (*.f64 y y))))
(pow.f64 (pow.f64 (/.f64 z (*.f64 y y)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 z (*.f64 y y)) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 z (*.f64 y y)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 y y) z) #s(literal 1 binary64))
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (log.f64 (*.f64 (neg.f64 z) (pow.f64 y #s(literal -2 binary64))))))
(/.f64 (exp.f64 (log.f64 (*.f64 (neg.f64 y) y))) (exp.f64 (log.f64 (neg.f64 z))))
(/.f64 (/.f64 (*.f64 (neg.f64 y) y) #s(literal -1 binary64)) z)
(/.f64 (*.f64 #s(literal 1 binary64) y) (/.f64 z y))
(/.f64 (*.f64 y #s(literal 1 binary64)) (/.f64 z y))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) (pow.f64 y #s(literal -2 binary64))))
(/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 y #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y y)))
(/.f64 (*.f64 (neg.f64 y) y) (neg.f64 z))
(/.f64 (*.f64 y y) z)
(/.f64 y (/.f64 z y))
(neg.f64 (.f64 (.f64 (neg.f64 y) (/.f64 y z)) #s(literal 1 binary64)))
(neg.f64 (*.f64 (neg.f64 y) (/.f64 y z)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (*.f64 (neg.f64 y) (/.f64 y z)))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) (/.f64 y z)))
(exp.f64 (-.f64 (neg.f64 (log.f64 z)) (neg.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 y y) z)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (/.f64 (*.f64 y y) z)))
(*.f64 (neg.f64 (neg.f64 y)) y)
(.f64 (.f64 #s(literal 1 binary64) y) y)
(*.f64 (neg.f64 y) (neg.f64 y))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 y) y))
(.f64 #s(literal 1 binary64) (.f64 y y))
(.f64 (.f64 y y) #s(literal 1 binary64))
(*.f64 y (neg.f64 (neg.f64 y)))
(.f64 y (.f64 y #s(literal 1 binary64)))
(*.f64 y y)
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 y))
(pow.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal -1 binary64))
(pow.f64 (neg.f64 y) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64)))
(neg.f64 (*.f64 (neg.f64 y) y))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) y))
(exp.f64 (neg.f64 (neg.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))))
(exp.f64 (.f64 (neg.f64 (.f64 (log.f64 y) #s(literal 2 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 y #s(literal -2 binary64))) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))

eval15.0ms (0.5%)

Memory: 32.4MiB live, 32.4MiB allocated
Compiler: Compiled 2 705 to 430 computations (84.1% saved)

prune5.0ms (0.2%)

Memory

-27.0MiB live, 10.3MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	148	3	151
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	149	3	152

Accuracy

100.0%

Counts

152 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 (/.f64 y z) y x)
▶	99.9%	(fma.f64 (neg.f64 y) (*.f64 y (/.f64 #s(literal -1 binary64) z)) x)
▶	49.0%	#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z))

Compiler

Compiled 28 to 22 computations (21.4% saved)

simplify16.0ms (0.5%)

Memory

23.4MiB live, 23.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 y z)
cost-diff	0	(fma.f64 (/.f64 y z) y x)
cost-diff	0	(/.f64 #s(literal -1 binary64) z)
cost-diff	0	(neg.f64 y)
cost-diff	192	(*.f64 y (/.f64 #s(literal -1 binary64) z))
cost-diff	256	(fma.f64 (neg.f64 y) (*.f64 y (/.f64 #s(literal -1 binary64) z)) x)
cost-diff	0	(*.f64 y y)
cost-diff	0	(/.f64 (*.f64 y y) z)
cost-diff	0	#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	58
0	26	60
1	40	57
2	71	53
3	142	53
4	299	53
5	391	53
6	694	53
7	747	53
8	753	53
0	753	53

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize53.0ms (1.7%)

Memory

-8.7MiB live, 73.5MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 y z)
accuracy	0.04296875	(fma.f64 (/.f64 y z) y x)
accuracy	0	(/.f64 #s(literal -1 binary64) z)
accuracy	0	(neg.f64 y)
accuracy	0.04296875	(fma.f64 (neg.f64 y) (*.f64 y (/.f64 #s(literal -1 binary64) z)) x)
accuracy	0.16796875	(*.f64 y (/.f64 #s(literal -1 binary64) z))
accuracy	0	(*.f64 y y)
accuracy	6.09291774916278	(/.f64 (*.f64 y y) z)
accuracy	30.348889832037383	#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z))

Samples

43.0ms

256×

valid

Compiler

Compiled 114 to 33 computations (71.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-div: 14.0ms (42.4% of total)

ival-mult: 14.0ms (42.4% of total)

ival-add: 3.0ms (9.1% of total)

ival-neg: 1.0ms (3% of total)

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

exact: 0.0ms (0% of total)

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

series8.0ms (0.3%)

Memory

13.6MiB live, 13.6MiB allocated

Counts

9 → 12

Calls

Call 1

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

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

Calls

9 calls:

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

simplify127.0ms (4.1%)

Memory

-23.0MiB live, 131.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	58
1	67	58
2	160	58
3	492	58
4	2186	58
5	4063	58
6	6111	58
7	7897	58
0	8182	53

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 11

Calls

Call 1

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

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

rewrite145.0ms (4.7%)

Memory

22.2MiB live, 183.9MiB allocated

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	16	49
0	26	53
1	97	45
2	685	45
3	6524	42
0	8984	42

Stop Event

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

Counts

9 → 508

Calls

Call 1

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

Outputs
#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z))
(.f64 (.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) (*.f64 y y))
(.f64 (pow.f64 (/.f64 z (.f64 y y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z (*.f64 y y)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 y z))
(.f64 (/.f64 (.f64 y y) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) z))
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 y z))
(.f64 (/.f64 (.f64 y y) #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64)))
(*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 y (pow.f64 y #s(literal -1 binary64))))
(.f64 (pow.f64 z #s(literal -1 binary64)) (.f64 y y))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) z))
(*.f64 (/.f64 y z) (/.f64 y #s(literal -1 binary64)))
(*.f64 (/.f64 y z) y)
(.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (.f64 y y) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) z) (.f64 y y))
(.f64 #s(literal -1 binary64) (/.f64 (.f64 y y) z))
(.f64 (/.f64 (.f64 y y) z) #s(literal 1 binary64))
(.f64 (/.f64 (.f64 y y) z) #s(literal -1 binary64))
(.f64 (.f64 y y) (pow.f64 z #s(literal -1 binary64)))
(.f64 (.f64 y y) (/.f64 #s(literal -1 binary64) z))
(*.f64 y (/.f64 y z))
(pow.f64 (/.f64 z (*.f64 y y)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 y y) z) #s(literal 1 binary64))
(/.f64 (/.f64 (*.f64 y y) #s(literal -1 binary64)) z)
(/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) z) y)
(/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) z) (*.f64 y y))
(/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 y #s(literal -2 binary64)))
(/.f64 (pow.f64 (/.f64 (.f64 y y) z) #s(literal 2 binary64)) (/.f64 (.f64 y y) z))
(/.f64 (pow.f64 (/.f64 (.f64 y y) z) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 #s(literal 0 binary64) (/.f64 (*.f64 y y) z)))))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y y)))
(/.f64 (/.f64 y z) (pow.f64 y #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 z (*.f64 y y)))
(/.f64 (/.f64 (*.f64 y y) z) #s(literal -1 binary64))
(/.f64 (*.f64 y y) (neg.f64 z))
(/.f64 (*.f64 y y) z)
(/.f64 y (/.f64 z y))
(neg.f64 (/.f64 (*.f64 y y) z))
(fma.f64 #s(literal 0 binary64) (/.f64 y z) (/.f64 (*.f64 y y) z))
(fma.f64 (/.f64 y z) #s(literal 0 binary64) (/.f64 (*.f64 y y) z))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 y y) z))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 y y) z)) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 z (.f64 y y))) #s(literal -1 binary64)))
(+.f64 (.f64 #s(literal 0 binary64) (/.f64 y z)) (/.f64 (.f64 y y) z))
(+.f64 (.f64 (/.f64 y z) #s(literal 0 binary64)) (/.f64 (.f64 y y) z))
(+.f64 #s(literal 0 binary64) (/.f64 (*.f64 y y) z))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)))
(.f64 #s(literal 1 binary64) (.f64 y y))
(.f64 #s(literal -1 binary64) (.f64 y y))
(.f64 (.f64 y y) #s(literal 1 binary64))
(.f64 (.f64 y y) #s(literal -1 binary64))
(*.f64 y y)
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64))
(pow.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 y y))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 0 binary64)) (-.f64 (*.f64 y y) #s(literal 0 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 6 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 #s(literal 0 binary64) (.f64 y y)))))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 6 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 #s(literal 0 binary64) (.f64 y y)))))
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) #s(literal 0 binary64)))))
(/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 y y))
(/.f64 (pow.f64 y #s(literal 3 binary64)) y)
(/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64)))
(neg.f64 (*.f64 y y))
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 y y) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 y y) #s(literal 0 binary64))
(fma.f64 (*.f64 y y) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 y y) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 y y #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 y y))
(exp.f64 (*.f64 (log.f64 (pow.f64 y #s(literal -2 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 y))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 y y))
(+.f64 (*.f64 y y) #s(literal 0 binary64))
(.f64 (/.f64 (fma.f64 x x (pow.f64 (/.f64 (.f64 y y) z) #s(literal 2 binary64))) (neg.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 (fma.f64 (/.f64 y z) y x) x))))
(.f64 (/.f64 (fma.f64 x x (pow.f64 (/.f64 (.f64 y y) z) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (/.f64 y z) y x) #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 (/.f64 z (.f64 y y)) #s(literal -4 binary64)) (pow.f64 (.f64 (fma.f64 (/.f64 y z) y x) x) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 (fma.f64 (/.f64 y z) y x) x))))
(.f64 (/.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 y #s(literal 12 binary64)) (pow.f64 z #s(literal -6 binary64)) (pow.f64 (.f64 (fma.f64 (/.f64 y z) y x) x) #s(literal 3 binary64)))) (fma.f64 (.f64 (fma.f64 (/.f64 y z) y x) x) (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 (fma.f64 (/.f64 y z) y x) x)) (pow.f64 (/.f64 z (*.f64 y y)) #s(literal -4 binary64))))
(.f64 (/.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (/.f64 (.f64 y y) z) (fma.f64 (/.f64 y z) y x)) #s(literal 2 binary64)))) (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 (fma.f64 (/.f64 y z) y x) x)))
(.f64 (/.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (/.f64 (.f64 y y) z) (fma.f64 (/.f64 y z) y x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 (/.f64 (.f64 y y) z) (fma.f64 (/.f64 y z) y x)) (-.f64 (.f64 (/.f64 (.f64 y y) z) (fma.f64 (/.f64 y z) y x)) (.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(.f64 (/.f64 (neg.f64 (fma.f64 x x (pow.f64 (/.f64 (.f64 y y) z) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 (fma.f64 (/.f64 y z) y x) x)))
(.f64 (/.f64 (fma.f64 x x (pow.f64 (/.f64 (.f64 y y) z) #s(literal 2 binary64))) (neg.f64 (fma.f64 x x (pow.f64 (/.f64 (.f64 y y) z) #s(literal 2 binary64))))) (-.f64 (/.f64 (.f64 y y) z) x))
(.f64 (/.f64 (fma.f64 x x (pow.f64 (/.f64 (.f64 y y) z) #s(literal 2 binary64))) (fma.f64 x x (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64)))) (fma.f64 (/.f64 y z) y x))
(.f64 (/.f64 (fma.f64 x x (pow.f64 (/.f64 (.f64 y y) z) #s(literal 2 binary64))) (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 (fma.f64 (/.f64 y z) y x) x)))
(.f64 (/.f64 (neg.f64 (fma.f64 x x (pow.f64 (/.f64 (.f64 y y) z) #s(literal 2 binary64)))) (neg.f64 (fma.f64 x x (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64))))) (fma.f64 (/.f64 y z) y x))
(.f64 (/.f64 (fma.f64 (/.f64 y z) y x) (neg.f64 (fma.f64 x x (pow.f64 (/.f64 (.f64 y y) z) #s(literal 2 binary64))))) (/.f64 (fma.f64 (/.f64 y z) y x) (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 y z) y x))))
(.f64 (/.f64 (fma.f64 (/.f64 y z) y x) (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (fma.f64 (/.f64 y z) y x) (pow.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 (fma.f64 (/.f64 y z) y x) x)) #s(literal -1 binary64))))
(.f64 (fma.f64 x x (pow.f64 (/.f64 (.f64 y y) z) #s(literal 2 binary64))) (pow.f64 (fma.f64 (/.f64 y z) y x) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 y z) y x)) (neg.f64 (fma.f64 x x (pow.f64 (/.f64 (.f64 y y) z) #s(literal 2 binary64)))))
(.f64 (pow.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 (fma.f64 (/.f64 y z) y x) x)) #s(literal -1 binary64)) (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))))
(.f64 (pow.f64 (fma.f64 (/.f64 y z) y x) #s(literal -1 binary64)) (fma.f64 x x (pow.f64 (/.f64 (.f64 y y) z) #s(literal 2 binary64))))
(.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 (fma.f64 (/.f64 y z) y x) x))) #s(literal -1 binary64)))
(.f64 (neg.f64 (fma.f64 x x (pow.f64 (/.f64 (.f64 y y) z) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 y z) y x)))
(.f64 (fma.f64 (/.f64 y z) y x) (/.f64 (-.f64 (/.f64 (.f64 y y) z) x) (-.f64 (/.f64 (*.f64 y y) z) x)))
(*.f64 (fma.f64 (/.f64 y z) y x) (/.f64 (fma.f64 (/.f64 y z) y x) (fma.f64 (/.f64 y z) y x)))
(.f64 (fma.f64 (/.f64 y z) y x) (.f64 (-.f64 (/.f64 (*.f64 y y) z) x) (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 y z) y x))))
(.f64 (fma.f64 (/.f64 y z) y x) (.f64 (fma.f64 (/.f64 y z) y x) (pow.f64 (fma.f64 (/.f64 y z) y x) #s(literal -1 binary64))))
(.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 (fma.f64 (/.f64 y z) y x) x)) (/.f64 (fma.f64 (/.f64 y z) y x) (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 (fma.f64 (/.f64 y z) y x) x))))
(.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 (fma.f64 (/.f64 y z) y x) x)) (.f64 (fma.f64 (/.f64 y z) y x) (pow.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 (fma.f64 (/.f64 y z) y x) x)) #s(literal -1 binary64))))
(.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 (fma.f64 (/.f64 y z) y x) x)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) y x))
(.f64 #s(literal -1 binary64) (-.f64 (/.f64 (.f64 y y) z) x))
(pow.f64 (/.f64 (pow.f64 (fma.f64 (/.f64 y z) y x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 (/.f64 y z) y x) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (/.f64 (fma.f64 x x (pow.f64 (/.f64 (.f64 y y) z) #s(literal 2 binary64))) (neg.f64 (fma.f64 x x (pow.f64 (/.f64 (.f64 y y) z) #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 y z) y x)))
(/.f64 (/.f64 (fma.f64 x x (pow.f64 (/.f64 (.f64 y y) z) #s(literal 2 binary64))) (fma.f64 x x (pow.f64 (/.f64 (.f64 y y) z) #s(literal 2 binary64)))) (pow.f64 (fma.f64 (/.f64 y z) y x) #s(literal -1 binary64)))
(/.f64 (/.f64 (fma.f64 x x (pow.f64 (/.f64 (.f64 y y) z) #s(literal 2 binary64))) (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 (fma.f64 (/.f64 y z) y x) x)) #s(literal -1 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 (/.f64 z (.f64 y y)) #s(literal -4 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 y z) y x))) (fma.f64 x x (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (/.f64 z (.f64 y y)) #s(literal -6 binary64)) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 y z) y x))) (+.f64 (pow.f64 (.f64 (fma.f64 (/.f64 y z) y x) x) #s(literal 2 binary64)) (pow.f64 (/.f64 z (.f64 y y)) #s(literal -4 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (/.f64 z (.f64 y y)) #s(literal -4 binary64))) (pow.f64 (fma.f64 (/.f64 y z) y x) #s(literal -1 binary64))) (fma.f64 x x (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 z (.f64 y y)) #s(literal -6 binary64))) (pow.f64 (fma.f64 (/.f64 y z) y x) #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (/.f64 (.f64 y y) z) (fma.f64 (/.f64 y z) y x)) #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 z (.f64 y y)) #s(literal -6 binary64))) (pow.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 (fma.f64 (/.f64 y z) y x) x)) #s(literal -1 binary64))) (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (/.f64 z (.f64 y y)) #s(literal -6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 (fma.f64 (/.f64 y z) y x) x)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (.f64 (fma.f64 (pow.f64 y #s(literal 18 binary64)) (pow.f64 z #s(literal -9 binary64)) (pow.f64 x #s(literal 9 binary64))) (pow.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 (fma.f64 (/.f64 y z) y x) x)) #s(literal -1 binary64))) (+.f64 (fma.f64 (pow.f64 y #s(literal 12 binary64)) (pow.f64 z #s(literal -6 binary64)) (pow.f64 (.f64 (/.f64 (.f64 y y) z) x) #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64))))
(/.f64 (.f64 (fma.f64 (pow.f64 y #s(literal 18 binary64)) (pow.f64 z #s(literal -9 binary64)) (pow.f64 x #s(literal 9 binary64))) (pow.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 (fma.f64 (/.f64 y z) y x) x)) #s(literal -1 binary64))) (fma.f64 (pow.f64 y #s(literal 12 binary64)) (pow.f64 z #s(literal -6 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (/.f64 (.f64 y y) z) x) #s(literal 3 binary64)))))
(/.f64 (.f64 (neg.f64 (fma.f64 x x (pow.f64 (/.f64 (.f64 y y) z) #s(literal 2 binary64)))) #s(literal 1 binary64)) (-.f64 (/.f64 (*.f64 y y) z) x))
(/.f64 (.f64 (fma.f64 x x (pow.f64 (/.f64 (.f64 y y) z) #s(literal 2 binary64))) #s(literal 1 binary64)) (fma.f64 (/.f64 y z) y x))
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(fma.f64 (.f64 y y) (/.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) (-.f64 (/.f64 (.f64 y y) z) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (/.f64 (.f64 y y) z) x)))))
(fma.f64 (.f64 y y) (/.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) (fma.f64 (/.f64 y z) y x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (/.f64 (*.f64 y y) z) x)))))
(fma.f64 (*.f64 y y) (pow.f64 z #s(literal -1 binary64)) (neg.f64 (neg.f64 x)))
(fma.f64 (*.f64 y y) (pow.f64 z #s(literal -1 binary64)) x)
(fma.f64 (*.f64 y y) (/.f64 #s(literal -1 binary64) z) (neg.f64 (neg.f64 x)))
(fma.f64 (*.f64 y y) (/.f64 #s(literal -1 binary64) z) x)
(fma.f64 y (/.f64 (.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) y) (-.f64 (/.f64 (.f64 y y) z) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (/.f64 (.f64 y y) z) x)))))
(fma.f64 y (/.f64 (.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) y) (fma.f64 (/.f64 y z) y x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (/.f64 (*.f64 y y) z) x)))))
(fma.f64 y (/.f64 y z) (neg.f64 (neg.f64 x)))
(fma.f64 y (/.f64 y z) x)
(fma.f64 x (/.f64 x (fma.f64 (/.f64 y z) y x)) (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) z) (*.f64 (fma.f64 (/.f64 y z) y x) z)))
(fma.f64 x #s(literal 1 binary64) (/.f64 (*.f64 y y) z))
(-.f64 (+.f64 x #s(literal 0 binary64)) (/.f64 (*.f64 y y) z))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 (fma.f64 (/.f64 y z) y x) x))) (/.f64 (pow.f64 (/.f64 (.f64 y y) z) #s(literal 3 binary64)) (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 (fma.f64 (/.f64 y z) y x) x))))
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) z) (.f64 (fma.f64 (/.f64 y z) y x) z)) (.f64 x (/.f64 x (-.f64 (/.f64 (*.f64 y y) z) x))))
(-.f64 (.f64 x (/.f64 x (fma.f64 (/.f64 y z) y x))) (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) z) (.f64 (fma.f64 (/.f64 y z) y x) z)))
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 (*.f64 y y) z) x))
(-.f64 x (/.f64 (*.f64 y y) z))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 (/.f64 y z) y x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (-.f64 x #s(literal 0 binary64)) (/.f64 (*.f64 y y) z))
(+.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) z) (.f64 (fma.f64 (/.f64 y z) y x) z)) (neg.f64 (.f64 x (/.f64 x (-.f64 (/.f64 (*.f64 y y) z) x)))))
(+.f64 (.f64 x (/.f64 x (fma.f64 (/.f64 y z) y x))) (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) z) (.f64 (fma.f64 (/.f64 y z) y x) z)))
(+.f64 (/.f64 (*.f64 y y) z) (neg.f64 (neg.f64 x)))
(+.f64 (/.f64 (*.f64 y y) z) x)
(+.f64 x (/.f64 (*.f64 y y) z))
(.f64 (.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) y)
(*.f64 (pow.f64 (/.f64 z y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z y) #s(literal -1/2 binary64)))
(*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) z))
(*.f64 (/.f64 y #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64)))
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z))
(*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 y #s(literal -1 binary64)))
(*.f64 (pow.f64 z #s(literal -1 binary64)) y)
(*.f64 #s(literal 1 binary64) (/.f64 y z))
(*.f64 (/.f64 y z) #s(literal 1 binary64))
(*.f64 (/.f64 y z) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) z) y)
(*.f64 #s(literal -1 binary64) (/.f64 y z))
(.f64 y (.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)))
(*.f64 y (pow.f64 z #s(literal -1 binary64)))
(*.f64 y (/.f64 #s(literal -1 binary64) z))
(pow.f64 (/.f64 z y) #s(literal -1 binary64))
(pow.f64 (/.f64 y z) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 z y) #s(literal -2 binary64))) (/.f64 y z))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 z y) #s(literal -3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 y z)))))
(/.f64 (/.f64 y #s(literal -1 binary64)) z)
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 z y)) (neg.f64 z)) (.f64 (neg.f64 z) (/.f64 z y)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) z) (.f64 (neg.f64 z) y)) (*.f64 (neg.f64 z) z))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 z)) (.f64 (neg.f64 z) y)) (*.f64 z z))
(/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) z) (*.f64 y y))
(/.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 z (.f64 y y)))
(/.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 (neg.f64 z) (.f64 y y)))
(/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 z y))
(/.f64 (/.f64 y z) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 z y))
(/.f64 (/.f64 (*.f64 y y) z) y)
(/.f64 (.f64 y y) (.f64 z y))
(/.f64 (.f64 y y) (.f64 (neg.f64 z) y))
(/.f64 y (neg.f64 z))
(/.f64 y z)
(neg.f64 (/.f64 y z))
(fma.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 0 binary64) (/.f64 y z))
(-.f64 #s(literal 0 binary64) (/.f64 y z))
(exp.f64 (*.f64 (log.f64 (/.f64 z y)) #s(literal -1 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 0 binary64)) (/.f64 y z))
(+.f64 #s(literal 0 binary64) (/.f64 y z))

eval49.0ms (1.6%)

Memory: -35.5MiB live, 103.7MiB allocated
Compiler: Compiled 6 191 to 807 computations (87% saved)

prune5.0ms (0.2%)

Memory

21.8MiB live, 21.8MiB allocated

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	321	2	323
Fresh	0	0	0
Picked	1	2	3
Done	0	0	0
Total	322	4	326

Accuracy

100.0%

Counts

326 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (/.f64 y z) y x)
✓	49.0%	#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z))
▶	52.5%	#s(approx (+ x (/ (* y y) z)) (/.f64 y (/.f64 z y)))
▶	52.5%	#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y))

Compiler

Compiled 45 to 32 computations (28.9% saved)

simplify12.0ms (0.4%)

Memory

-30.6MiB live, 8.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 z y)
cost-diff	0	#s(approx (+ x (/ (* y y) z)) (/.f64 y (/.f64 z y)))
cost-diff	384	(/.f64 y (/.f64 z y))
cost-diff	0	(/.f64 y z)
cost-diff	0	(*.f64 (/.f64 y z) y)
cost-diff	0	#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	46
0	16	46
1	19	46
0	19	44

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y))
(*.f64 (/.f64 y z) y)
(/.f64 y z)
y
z
#s(approx (+ x (/ (* y y) z)) (/.f64 y (/.f64 z y)))
(/.f64 y (/.f64 z y))
y
(/.f64 z y)
z

Outputs
#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y))
(*.f64 (/.f64 y z) y)
(/.f64 y z)
y
z
#s(approx (+ x (/ (* y y) z)) (/.f64 y (/.f64 z y)))
#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y))
(/.f64 y (/.f64 z y))
(*.f64 (/.f64 y z) y)
y
(/.f64 z y)
z

localize28.0ms (0.9%)

Memory

29.9MiB live, 68.9MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 z y)
accuracy	0.09375	(/.f64 y (/.f64 z y))
accuracy	30.348889832037383	#s(approx (+ x (/ (* y y) z)) (/.f64 y (/.f64 z y)))
accuracy	0	(/.f64 y z)
accuracy	0.08984375	(*.f64 (/.f64 y z) y)
accuracy	30.348889832037383	#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y))

Samples

21.0ms

256×

valid

Compiler

Compiled 82 to 24 computations (70.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-div: 8.0ms (59.9% of total)

ival-mult: 3.0ms (22.4% of total)

ival-add: 1.0ms (7.5% of total)

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

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

series8.0ms (0.3%)

Memory

-21.1MiB live, 16.9MiB allocated

Counts

6 → 9

Calls

Call 1

Inputs
#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y))
(*.f64 (/.f64 y z) y)
(/.f64 y z)
(/.f64 y (/.f64 z y))
#s(approx (+ x (/ (* y y) z)) (/.f64 y (/.f64 z y)))
(/.f64 z y)

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

Calls

9 calls:

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

simplify100.0ms (3.2%)

Memory

9.0MiB live, 128.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	49
1	60	49
2	153	49
3	495	49
4	2249	49
5	4098	49
6	6110	49
7	7897	49
0	8182	44

Stop Event

1×	iter limit
1×	node limit

Counts

9 → 8

Calls

Call 1

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

Outputs
(/ (pow y 2) z)
(/.f64 (*.f64 y y) z)
(+ x (/ (pow y 2) z))
(fma.f64 (/.f64 y z) y x)
x
(* x (+ 1 (/ (pow y 2) (* x z))))
(fma.f64 (/.f64 y z) y x)
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1)))
(fma.f64 (/.f64 y z) y x)
(/ y z)
(/.f64 y z)
(/ z y)
(/.f64 z y)
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(fma.f64 (/.f64 y z) y x)
(/ (+ (* x z) (pow y 2)) z)
(/.f64 (fma.f64 z x (*.f64 y y)) z)

rewrite121.0ms (3.9%)

Memory

23.2MiB live, 175.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	42
0	16	42
1	54	42
2	451	42
3	5718	42
0	8318	40

Stop Event

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

Counts

6 → 180

Calls

Call 1

Inputs
#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y))
(*.f64 (/.f64 y z) y)
(/.f64 y z)
(/.f64 y (/.f64 z y))
#s(approx (+ x (/ (* y y) z)) (/.f64 y (/.f64 z y)))
(/.f64 z y)

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

eval149.0ms (4.8%)

Memory: -16.7MiB live, 20.4MiB allocated
Compiler: Compiled 2 207 to 423 computations (80.8% saved)

prune5.0ms (0.2%)

Memory

11.3MiB live, 11.3MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	134	0	134
Fresh	0	0	0
Picked	0	2	2
Done	0	2	2
Total	134	4	138

Accuracy

100.0%

Counts

138 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (/.f64 y z) y x)
✓	49.0%	#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z))
✓	52.5%	#s(approx (+ x (/ (* y y) z)) (/.f64 y (/.f64 z y)))
✓	52.5%	#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y))

Compiler

Compiled 106 to 54 computations (49.1% saved)

regimes27.0ms (0.9%)

Memory

-15.6MiB live, 31.5MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

6 calls:

14.0ms	(+.f64 x (/.f64 (*.f64 y y) z))
3.0ms	x
3.0ms	z
3.0ms	y
2.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`z`
99.9%	1	`(+.f64 x (/.f64 (*.f64 y y) z))`
99.9%	1	`(/.f64 (*.f64 y y) z)`
99.9%	1	`(*.f64 y y)`

Compiler

Compiled 18 to 24 computations (-33.3% saved)

regimes9.0ms (0.3%)

Memory

17.7MiB live, 17.7MiB allocated

Accuracy

Total -2.3b remaining (-7.6%)

Threshold costs -2.3b (-7.6%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y))
#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z))

Outputs
#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y))

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
52.5%	1	`x`
52.5%	1	`y`
52.5%	1	`z`
52.5%	1	`(+.f64 x (/.f64 (*.f64 y y) z))`
52.5%	1	`(/.f64 (*.f64 y y) z)`
52.5%	1	`(*.f64 y y)`

Compiler

Compiled 18 to 24 computations (-33.3% saved)

simplify26.0ms (0.8%)

Memory

4.2MiB live, 41.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	11	19

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (/.f64 y z) y x)
#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y))

Outputs
(fma.f64 (/.f64 y z) y x)
#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y))

soundness450.0ms (14.5%)

Memory

-27.3MiB live, 291.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	35	15
2	269	15
3	4534	15
0	8159	14
0	16	49
0	26	53
1	97	45
2	685	45
3	6524	42
0	8984	42
0	23	46
1	58	46
2	150	46
3	489	46
4	2240	46
5	4077	46
6	6068	46
7	7783	46
0	8068	41

Stop Event

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

Compiler

Compiled 50 to 32 computations (36% saved)

preprocess26.0ms (0.8%)

Memory: 5.9MiB live, 42.2MiB allocated
Remove: (abs y)
Compiler: Compiled 78 to 54 computations (30.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	16	58
0	26	60
1	40	57
2	71	53
3	142	53
4	299	53
5	391	53
6	694	53
7	747	53
8	753	53
0	753	53

Iter	Nodes	Cost
0	16	58
0	26	60
1	40	57
2	71	53
3	142	53
4	299	53
5	391	53
6	694	53
7	747	53
8	753	53
0	753	53

start0.0ms (0%)

analyze67.0ms (2.1%)

sample1.1s (33.9%)

explain107.0ms (3.4%)

preprocess74.0ms (2.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize36.0ms (1.2%)

series5.0ms (0.2%)

simplify123.0ms (4%)

rewrite250.0ms (8.1%)

eval15.0ms (0.5%)

prune5.0ms (0.2%)

simplify16.0ms (0.5%)

localize53.0ms (1.7%)

series8.0ms (0.3%)

simplify127.0ms (4.1%)

rewrite145.0ms (4.7%)

eval49.0ms (1.6%)

prune5.0ms (0.2%)

simplify12.0ms (0.4%)

localize28.0ms (0.9%)

series8.0ms (0.3%)

simplify100.0ms (3.2%)

rewrite121.0ms (3.9%)

eval149.0ms (4.8%)

prune5.0ms (0.2%)

regimes27.0ms (0.9%)

regimes9.0ms (0.3%)

simplify26.0ms (0.8%)

soundness450.0ms (14.5%)

preprocess26.0ms (0.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	16	58
0	26	60
1	40	57
2	71	53
3	142	53
4	299	53
5	391	53
6	694	53
7	747	53
8	753	53
0	753	53