Metrics for Numeric.SpecFunctions:choose from math-functions-0.1.5.2

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze1.2s (19.1%)

Memory

-217.9MiB live, 113.2MiB allocated; 1.8s collecting garbage

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)

sample865.0ms (14%)

Memory

58.9MiB live, 1 425.1MiB allocated; 212ms collecting garbage

Samples

470.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 266.0ms

ival-mult: 110.0ms (41.3% of total)

ival-div: 90.0ms (33.8% of total)

ival-add: 55.0ms (20.6% of total)

ival-true: 6.0ms (2.3% of total)

ival-assert: 3.0ms (1.1% of total)

adjust: 2.0ms (0.8% of total)

Bogosity

explain62.0ms (1%)

Memory

-46.6MiB live, 70.4MiB allocated; 15ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
47	-	-	`(/.f64 (*.f64 x (+.f64 y z)) z)`
0	-	-	`(+.f64 y z)`
0	-	-	`y`
0	-	-	`z`
0	-	-	`(*.f64 x (+.f64 y z))`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (*.f64 x (+.f64 y z)) z)`	o/n	38	0
↳	`(*.f64 x (+.f64 y z))`	overflow	58
`/.f64`	`(/.f64 (*.f64 x (+.f64 y z)) z)`	u/n	9	0
↳	`(*.f64 x (+.f64 y z))`	underflow	9

Confusion

	Predicted +	Predicted -
+	47	0
-	0	209

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	47	0	0
-	0	0	209

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	209
1	47

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

24.0ms

512×

valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-div: 3.0ms (29.1% of total)

ival-add: 3.0ms (29.1% of total)

ival-mult: 3.0ms (29.1% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess218.0ms (3.5%)

Memory

28.6MiB live, 258.0MiB allocated; 33ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	72
1	91	70
2	313	66
3	697	63
4	1224	63
5	4456	63
0	6	7
0	9	7
1	19	7
2	42	7
3	75	7
4	145	7
5	478	7
6	2092	7
7	5211	7
8	6647	7
0	8310	6

Stop Event

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

Calls

Call 1

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

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

Symmetry

(negabs x)

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	82.7%	(/.f64 (*.f64 x (+.f64 y z)) z)

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify160.0ms (2.6%)

Memory

7.0MiB live, 195.2MiB allocated; 29ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 y z)
cost-diff	0	(*.f64 x (+.f64 y z))
cost-diff	1	(/.f64 (*.f64 x (+.f64 y z)) z)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	9	18
1	19	18
2	42	18
3	75	18
4	145	18
5	478	18
6	2092	18
7	5211	18
8	6647	18
0	8310	17

Stop Event

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

Calls

Call 1

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

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

localize33.0ms (0.5%)

Memory

-20.6MiB live, 24.0MiB allocated; 5ms collecting garbage

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 y z)
accuracy	0.0078125	(*.f64 x (+.f64 y z))
accuracy	11.086484245865943	(/.f64 (*.f64 x (+.f64 y z)) z)

Samples

28.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

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

ival-div: 2.0ms (40% of total)

ival-mult: 2.0ms (40% of total)

ival-add: 1.0ms (20% of total)

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

adjust: 0.0ms (0% of total)

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

series8.0ms (0.1%)

Memory

13.2MiB live, 13.2MiB allocated; 0ms collecting garbage

Counts

3 → 22

Calls

Call 1

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

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

Calls

9 calls:

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

simplify169.0ms (2.7%)

Memory

8.3MiB live, 197.8MiB allocated; 23ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	94
1	180	94
2	560	94
3	1615	94
4	3319	94
5	4802	94
6	5154	94
7	5670	94
0	8112	89

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 19

Calls

Call 1

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

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

rewrite318.0ms (5.1%)

Memory

-4.1MiB live, 234.6MiB allocated; 30ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	35	15
2	223	15
3	1885	15
0	8701	15

Stop Event

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

Counts

3 → 411

Calls

Call 1

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

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

eval124.0ms (2%)

Memory: -25.2MiB live, 80.4MiB allocated; 10ms collecting garbage
Compiler: Compiled 12 886 to 1 526 computations (88.2% saved)

prune9.0ms (0.1%)

Memory

27.5MiB live, 27.5MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	411	6	417
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	412	6	418

Accuracy

100.0%

Counts

418 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	45.6%	(/.f64 (-.f64 (.f64 (.f64 (/.f64 y z) x) (.f64 (/.f64 y z) x)) (.f64 (.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1 binary64) x))) (-.f64 (.f64 (/.f64 y z) x) (.f64 #s(literal 1 binary64) x)))
▶	49.8%	(/.f64 (.f64 (fma.f64 (neg.f64 z) z (.f64 y y)) x) (*.f64 (-.f64 z y) (neg.f64 z)))
▶	38.4%	(/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z)
▶	47.1%	(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
▶	87.3%	(*.f64 (/.f64 x z) (+.f64 z y))
▶	95.5%	#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))

Compiler

Compiled 176 to 106 computations (39.8% saved)

simplify104.0ms (1.7%)

Memory

15.3MiB live, 104.5MiB allocated; 8ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	25	142
0	43	141
1	87	141
2	188	140
3	556	139
4	2314	139
0	8064	139

Stop Event

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

Calls

Call 1

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

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

localize109.0ms (1.8%)

Memory

-11.0MiB live, 92.0MiB allocated; 10ms collecting garbage

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(*.f64 (-.f64 z y) (neg.f64 z))
accuracy	1.4999834856333614	(fma.f64 (neg.f64 z) z (*.f64 y y))
accuracy	6.390694327659517	(.f64 (fma.f64 (neg.f64 z) z (.f64 y y)) x)
accuracy	29.051299703510615	(/.f64 (.f64 (fma.f64 (neg.f64 z) z (.f64 y y)) x) (*.f64 (-.f64 z y) (neg.f64 z)))
accuracy	0.0	(/.f64 x z)
accuracy	0.0	(+.f64 z y)
accuracy	8.1135239891338	(*.f64 (/.f64 x z) (+.f64 z y))
accuracy	0.0	(*.f64 z x)
accuracy	11.086484245865943	(/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z)
accuracy	28.7937827317919	#s(approx (* x (+ y z)) (*.f64 z x))
accuracy	0.0	(*.f64 y x)
accuracy	11.086484245865943	(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
accuracy	30.190955425793405	#s(approx (* x (+ y z)) (*.f64 y x))
accuracy	0.0	(/.f64 y z)
accuracy	0.0	#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))
accuracy	2.87457457773633	(fma.f64 (/.f64 y z) x x)

Samples

95.0ms

256×

valid

Compiler

Compiled 125 to 24 computations (80.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

ival-mult: 44.0ms (75.7% of total)

ival-div: 6.0ms (10.3% of total)

ival-add: 5.0ms (8.6% of total)

ival-sub: 1.0ms (1.7% of total)

ival-neg: 1.0ms (1.7% of total)

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

adjust: 0.0ms (0% of total)

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

series69.0ms (1.1%)

Memory

-20.3MiB live, 26.5MiB allocated; 5ms collecting garbage

Counts

17 → 45

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
41.0ms	x	@	inf	((/ (* x (+ y z)) z) (+ (* (/ y z) x) x) (/ y z) (/ (* x (+ y z)) z) (* x (+ y z)) (* y x) (/ (* x (+ y z)) z) (* x (+ y z)) (* z x) (* (/ x z) (+ z y)) (/ x z) (+ z y) (/ (* (+ (* (neg z) z) (* y y)) x) (* (- z y) (neg z))) (* (+ (* (neg z) z) (* y y)) x) (+ (* (neg z) z) (* y y)) (neg z) (* (- z y) (neg z)))
5.0ms	y	@	-inf	((/ (* x (+ y z)) z) (+ (* (/ y z) x) x) (/ y z) (/ (* x (+ y z)) z) (* x (+ y z)) (* y x) (/ (* x (+ y z)) z) (* x (+ y z)) (* z x) (* (/ x z) (+ z y)) (/ x z) (+ z y) (/ (* (+ (* (neg z) z) (* y y)) x) (* (- z y) (neg z))) (* (+ (* (neg z) z) (* y y)) x) (+ (* (neg z) z) (* y y)) (neg z) (* (- z y) (neg z)))
5.0ms	x	@	0	((/ (* x (+ y z)) z) (+ (* (/ y z) x) x) (/ y z) (/ (* x (+ y z)) z) (* x (+ y z)) (* y x) (/ (* x (+ y z)) z) (* x (+ y z)) (* z x) (* (/ x z) (+ z y)) (/ x z) (+ z y) (/ (* (+ (* (neg z) z) (* y y)) x) (* (- z y) (neg z))) (* (+ (* (neg z) z) (* y y)) x) (+ (* (neg z) z) (* y y)) (neg z) (* (- z y) (neg z)))
4.0ms	x	@	-inf	((/ (* x (+ y z)) z) (+ (* (/ y z) x) x) (/ y z) (/ (* x (+ y z)) z) (* x (+ y z)) (* y x) (/ (* x (+ y z)) z) (* x (+ y z)) (* z x) (* (/ x z) (+ z y)) (/ x z) (+ z y) (/ (* (+ (* (neg z) z) (* y y)) x) (* (- z y) (neg z))) (* (+ (* (neg z) z) (* y y)) x) (+ (* (neg z) z) (* y y)) (neg z) (* (- z y) (neg z)))
3.0ms	z	@	-inf	((/ (* x (+ y z)) z) (+ (* (/ y z) x) x) (/ y z) (/ (* x (+ y z)) z) (* x (+ y z)) (* y x) (/ (* x (+ y z)) z) (* x (+ y z)) (* z x) (* (/ x z) (+ z y)) (/ x z) (+ z y) (/ (* (+ (* (neg z) z) (* y y)) x) (* (- z y) (neg z))) (* (+ (* (neg z) z) (* y y)) x) (+ (* (neg z) z) (* y y)) (neg z) (* (- z y) (neg z)))

simplify209.0ms (3.4%)

Memory

9.2MiB live, 149.4MiB allocated; 19ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	95	308
1	342	298
2	1079	292
3	4434	292
0	8252	283

Stop Event

1×	iter limit
1×	node limit

Counts

45 → 42

Calls

Call 1

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

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

rewrite239.0ms (3.9%)

Memory

-4.6MiB live, 142.2MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	122
0	43	113
1	148	113
2	1026	113
0	8690	113

Stop Event

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

Counts

17 → 769

Calls

Call 1

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

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

eval99.0ms (1.6%)

Memory: 24.5MiB live, 70.0MiB allocated; 3ms collecting garbage
Compiler: Compiled 14 563 to 1 727 computations (88.1% saved)

prune34.0ms (0.5%)

Memory

-10.7MiB live, 34.3MiB allocated; 4ms collecting garbage

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	561	2	563
Fresh	0	1	1
Picked	1	4	5
Done	0	0	0
Total	562	7	569

Accuracy

100.0%

Counts

569 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	45.6%	(/.f64 (-.f64 (.f64 (.f64 (/.f64 y z) x) (.f64 (/.f64 y z) x)) (.f64 (.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1 binary64) x))) (-.f64 (.f64 (/.f64 y z) x) (.f64 #s(literal 1 binary64) x)))
▶	29.5%	(/.f64 (.f64 #s(approx (+ ( (neg z) z) (* y y)) (.f64 y y)) x) (.f64 (-.f64 z y) (neg.f64 z)))
✓	38.4%	(/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z)
✓	47.1%	(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
✓	87.3%	(*.f64 (/.f64 x z) (+.f64 z y))
✓	95.5%	#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))
▶	45.0%	#s(approx (/ (* x (+ y z)) z) (*.f64 (/.f64 x z) y))

Compiler

Compiled 106 to 66 computations (37.7% saved)

simplify106.0ms (1.7%)

Memory

12.4MiB live, 111.2MiB allocated; 13ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 (/.f64 y z) x) (*.f64 (/.f64 y z) x))
cost-diff	2	(*.f64 #s(literal 1 binary64) x)
cost-diff	3	(-.f64 (.f64 (.f64 (/.f64 y z) x) (.f64 (/.f64 y z) x)) (.f64 (.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1 binary64) x)))
cost-diff	14	(/.f64 (-.f64 (.f64 (.f64 (/.f64 y z) x) (.f64 (/.f64 y z) x)) (.f64 (.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1 binary64) x))) (-.f64 (.f64 (/.f64 y z) x) (.f64 #s(literal 1 binary64) x)))
cost-diff	0	(*.f64 y y)
cost-diff	0	#s(approx (+ (* (neg z) z) (* y y)) (*.f64 y y))
cost-diff	0	(.f64 #s(approx (+ ( (neg z) z) (* y y)) (*.f64 y y)) x)
cost-diff	0	(/.f64 (.f64 #s(approx (+ ( (neg z) z) (* y y)) (.f64 y y)) x) (.f64 (-.f64 z y) (neg.f64 z)))
cost-diff	0	(/.f64 x z)
cost-diff	0	(*.f64 (/.f64 x z) y)
cost-diff	0	#s(approx (/ (* x (+ y z)) z) (*.f64 (/.f64 x z) y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	178
0	45	160
1	123	153
2	461	139
3	2945	139
0	8279	136

Stop Event

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

Calls

Call 1

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

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

localize77.0ms (1.2%)

Memory

-26.3MiB live, 111.1MiB allocated; 8ms collecting garbage

Localize:

Found 11 expressions of interest:

New	Metric	Score
accuracy	0.171875	(.f64 (.f64 (/.f64 y z) x) (*.f64 (/.f64 y z) x))
accuracy	5.017153370326563	(*.f64 (/.f64 y z) x)
accuracy	7.632793922471853	(-.f64 (.f64 (.f64 (/.f64 y z) x) (.f64 (/.f64 y z) x)) (.f64 (.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1 binary64) x)))
accuracy	32.36916426179931	(/.f64 (-.f64 (.f64 (.f64 (/.f64 y z) x) (.f64 (/.f64 y z) x)) (.f64 (.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1 binary64) x))) (-.f64 (.f64 (/.f64 y z) x) (.f64 #s(literal 1 binary64) x)))
accuracy	0.01171875	(*.f64 (-.f64 z y) (neg.f64 z))
accuracy	6.390694327659517	(.f64 #s(approx (+ ( (neg z) z) (* y y)) (*.f64 y y)) x)
accuracy	29.051299703510615	(/.f64 (.f64 #s(approx (+ ( (neg z) z) (* y y)) (.f64 y y)) x) (.f64 (-.f64 z y) (neg.f64 z)))
accuracy	30.12762412559189	#s(approx (+ (* (neg z) z) (* y y)) (*.f64 y y))
accuracy	0.0	(/.f64 x z)
accuracy	4.6414977837953035	(*.f64 (/.f64 x z) y)
accuracy	32.396208992535705	#s(approx (/ (* x (+ y z)) z) (*.f64 (/.f64 x z) y))

Samples

54.0ms

256×

valid

Compiler

Compiled 162 to 27 computations (83.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-div: 20.0ms (49.3% of total)

ival-mult: 14.0ms (34.5% of total)

ival-sub: 3.0ms (7.4% of total)

ival-add: 2.0ms (4.9% of total)

ival-neg: 1.0ms (2.5% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series61.0ms (1%)

Memory

13.9MiB live, 68.9MiB allocated; 6ms collecting garbage

Counts

13 → 34

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
36.0ms	y	@	-inf	((/ (* x (+ y z)) z) (* (/ x z) y) (/ x z) (/ (* (+ (* (neg z) z) (* y y)) x) (* (- z y) (neg z))) (* (+ (* (neg z) z) (* y y)) x) (+ (* (neg z) z) (* y y)) (* y y) (/ (- (* (* (/ y z) x) (* (/ y z) x)) (* (* 1 x) (* 1 x))) (- (* (/ y z) x) (* 1 x))) (- (* (* (/ y z) x) (* (/ y z) x)) (* (* 1 x) (* 1 x))) (* 1 x) (* (* (/ y z) x) (* (/ y z) x)) (* (- z y) (neg z)) (* (/ y z) x))
4.0ms	x	@	-inf	((/ (* x (+ y z)) z) (* (/ x z) y) (/ x z) (/ (* (+ (* (neg z) z) (* y y)) x) (* (- z y) (neg z))) (* (+ (* (neg z) z) (* y y)) x) (+ (* (neg z) z) (* y y)) (* y y) (/ (- (* (* (/ y z) x) (* (/ y z) x)) (* (* 1 x) (* 1 x))) (- (* (/ y z) x) (* 1 x))) (- (* (* (/ y z) x) (* (/ y z) x)) (* (* 1 x) (* 1 x))) (* 1 x) (* (* (/ y z) x) (* (/ y z) x)) (* (- z y) (neg z)) (* (/ y z) x))
3.0ms	x	@	0	((/ (* x (+ y z)) z) (* (/ x z) y) (/ x z) (/ (* (+ (* (neg z) z) (* y y)) x) (* (- z y) (neg z))) (* (+ (* (neg z) z) (* y y)) x) (+ (* (neg z) z) (* y y)) (* y y) (/ (- (* (* (/ y z) x) (* (/ y z) x)) (* (* 1 x) (* 1 x))) (- (* (/ y z) x) (* 1 x))) (- (* (* (/ y z) x) (* (/ y z) x)) (* (* 1 x) (* 1 x))) (* 1 x) (* (* (/ y z) x) (* (/ y z) x)) (* (- z y) (neg z)) (* (/ y z) x))
3.0ms	x	@	inf	((/ (* x (+ y z)) z) (* (/ x z) y) (/ x z) (/ (* (+ (* (neg z) z) (* y y)) x) (* (- z y) (neg z))) (* (+ (* (neg z) z) (* y y)) x) (+ (* (neg z) z) (* y y)) (* y y) (/ (- (* (* (/ y z) x) (* (/ y z) x)) (* (* 1 x) (* 1 x))) (- (* (/ y z) x) (* 1 x))) (- (* (* (/ y z) x) (* (/ y z) x)) (* (* 1 x) (* 1 x))) (* 1 x) (* (* (/ y z) x) (* (/ y z) x)) (* (- z y) (neg z)) (* (/ y z) x))
3.0ms	z	@	-inf	((/ (* x (+ y z)) z) (* (/ x z) y) (/ x z) (/ (* (+ (* (neg z) z) (* y y)) x) (* (- z y) (neg z))) (* (+ (* (neg z) z) (* y y)) x) (+ (* (neg z) z) (* y y)) (* y y) (/ (- (* (* (/ y z) x) (* (/ y z) x)) (* (* 1 x) (* 1 x))) (- (* (/ y z) x) (* 1 x))) (- (* (* (/ y z) x) (* (/ y z) x)) (* (* 1 x) (* 1 x))) (* 1 x) (* (* (/ y z) x) (* (/ y z) x)) (* (- z y) (neg z)) (* (/ y z) x))

simplify202.0ms (3.3%)

Memory

-8.6MiB live, 181.0MiB allocated; 12ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	88	322
1	286	311
2	957	302
3	4947	301
0	8258	292

Stop Event

1×	iter limit
1×	node limit

Counts

34 → 33

Calls

Call 1

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

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

rewrite175.0ms (2.8%)

Memory

-9.4MiB live, 129.4MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	144
0	45	120
1	193	105
2	1440	105
0	8613	104

Stop Event

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

Counts

13 → 635

Calls

Call 1

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

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

eval141.0ms (2.3%)

Memory: 3.6MiB live, 108.3MiB allocated; 36ms collecting garbage
Compiler: Compiled 17 849 to 1 627 computations (90.9% saved)

prune17.0ms (0.3%)

Memory

-16.5MiB live, 31.0MiB allocated; 1ms collecting garbage

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	632	3	635
Fresh	0	0	0
Picked	2	1	3
Done	0	4	4
Total	634	8	642

Accuracy

100.0%

Counts

642 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	29.5%	(/.f64 (.f64 #s(approx (+ ( (neg z) z) (* y y)) (.f64 y y)) x) #s(approx ( (- z y) (neg z)) (*.f64 z y)))
✓	38.4%	(/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z)
✓	47.1%	(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
✓	87.3%	(*.f64 (/.f64 x z) (+.f64 z y))
✓	95.5%	#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))
▶	44.9%	#s(approx (/ (* x (+ y z)) z) (*.f64 (/.f64 y z) x))
✓	45.0%	#s(approx (/ (* x (+ y z)) z) (*.f64 (/.f64 x z) y))
▶	24.6%	#s(approx (/ (* x (+ y z)) z) (.f64 (sqrt.f64 (.f64 (/.f64 y z) x)) (sqrt.f64 (*.f64 (/.f64 y z) x))))

Compiler

Compiled 115 to 75 computations (34.8% saved)

simplify95.0ms (1.5%)

Memory

21.8MiB live, 68.6MiB allocated; 1ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 y y)
cost-diff	0	#s(approx (+ (* (neg z) z) (* y y)) (*.f64 y y))
cost-diff	0	(.f64 #s(approx (+ ( (neg z) z) (* y y)) (*.f64 y y)) x)
cost-diff	0	(/.f64 (.f64 #s(approx (+ ( (neg z) z) (* y y)) (.f64 y y)) x) #s(approx ( (- z y) (neg z)) (*.f64 z y)))
cost-diff	0	(/.f64 y z)
cost-diff	0	(*.f64 (/.f64 y z) x)
cost-diff	0	#s(approx (/ (* x (+ y z)) z) (*.f64 (/.f64 y z) x))
cost-diff	0	(*.f64 (/.f64 y z) x)
cost-diff	0	(sqrt.f64 (*.f64 (/.f64 y z) x))
cost-diff	0	#s(approx (/ (* x (+ y z)) z) (.f64 (sqrt.f64 (.f64 (/.f64 y z) x)) (sqrt.f64 (*.f64 (/.f64 y z) x))))
cost-diff	8	(.f64 (sqrt.f64 (.f64 (/.f64 y z) x)) (sqrt.f64 (*.f64 (/.f64 y z) x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	145
0	32	129
1	65	126
2	131	126
3	267	126
4	463	126
5	1325	126
6	4241	124
0	8188	122

Stop Event

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

Calls

Call 1

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

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

localize72.0ms (1.2%)

Memory

2.9MiB live, 55.7MiB allocated; 3ms collecting garbage

Localize:

Found 11 expressions of interest:

New	Metric	Score
accuracy	3.554242786298383	(.f64 #s(approx (+ ( (neg z) z) (* y y)) (*.f64 y y)) x)
accuracy	14.957181670353247	(/.f64 (.f64 #s(approx (+ ( (neg z) z) (* y y)) (.f64 y y)) x) #s(approx ( (- z y) (neg z)) (*.f64 z y)))
accuracy	16.86419431853974	#s(approx (+ (* (neg z) z) (* y y)) (*.f64 y y))
accuracy	17.08293650223378	#s(approx (* (- z y) (neg z)) (*.f64 z y))
accuracy	0.0	(/.f64 y z)
accuracy	2.0912082568406705	(*.f64 (/.f64 y z) x)
accuracy	18.02714500529129	#s(approx (/ (* x (+ y z)) z) (*.f64 (/.f64 y z) x))
accuracy	0.171875	(.f64 (sqrt.f64 (.f64 (/.f64 y z) x)) (sqrt.f64 (*.f64 (/.f64 y z) x)))
accuracy	2.0912082568406705	(*.f64 (/.f64 y z) x)
accuracy	8.54611649294413	(sqrt.f64 (*.f64 (/.f64 y z) x))
accuracy	18.02714500529129	#s(approx (/ (* x (+ y z)) z) (.f64 (sqrt.f64 (.f64 (/.f64 y z) x)) (sqrt.f64 (*.f64 (/.f64 y z) x))))

Samples

45.0ms	139×	0	valid
16.0ms	117×	0	invalid

Compiler

Compiled 107 to 21 computations (80.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-sqrt: 23.0ms (47% of total)

ival-mult: 17.0ms (34.7% of total)

ival-div: 5.0ms (10.2% of total)

ival-add: 2.0ms (4.1% of total)

ival-sub: 1.0ms (2% of total)

ival-neg: 1.0ms (2% of total)

adjust: 0.0ms (0% of total)

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

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

series46.0ms (0.7%)

Memory

-0.8MiB live, 46.2MiB allocated; 4ms collecting garbage

Counts

11 → 30

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
21.0ms	y	@	0	((* (sqrt (* (/ y z) x)) (sqrt (* (/ y z) x))) (/ (* x (+ y z)) z) (sqrt (* (/ y z) x)) (* (/ y z) x) (/ (* x (+ y z)) z) (/ y z) (/ (* (+ (* (neg z) z) (* y y)) x) (* (- z y) (neg z))) (* (+ (* (neg z) z) (* y y)) x) (+ (* (neg z) z) (* y y)) (* y y) (* (- z y) (neg z)))
9.0ms	z	@	-inf	((* (sqrt (* (/ y z) x)) (sqrt (* (/ y z) x))) (/ (* x (+ y z)) z) (sqrt (* (/ y z) x)) (* (/ y z) x) (/ (* x (+ y z)) z) (/ y z) (/ (* (+ (* (neg z) z) (* y y)) x) (* (- z y) (neg z))) (* (+ (* (neg z) z) (* y y)) x) (+ (* (neg z) z) (* y y)) (* y y) (* (- z y) (neg z)))
3.0ms	x	@	-inf	((* (sqrt (* (/ y z) x)) (sqrt (* (/ y z) x))) (/ (* x (+ y z)) z) (sqrt (* (/ y z) x)) (* (/ y z) x) (/ (* x (+ y z)) z) (/ y z) (/ (* (+ (* (neg z) z) (* y y)) x) (* (- z y) (neg z))) (* (+ (* (neg z) z) (* y y)) x) (+ (* (neg z) z) (* y y)) (* y y) (* (- z y) (neg z)))
3.0ms	y	@	-inf	((* (sqrt (* (/ y z) x)) (sqrt (* (/ y z) x))) (/ (* x (+ y z)) z) (sqrt (* (/ y z) x)) (* (/ y z) x) (/ (* x (+ y z)) z) (/ y z) (/ (* (+ (* (neg z) z) (* y y)) x) (* (- z y) (neg z))) (* (+ (* (neg z) z) (* y y)) x) (+ (* (neg z) z) (* y y)) (* y y) (* (- z y) (neg z)))
2.0ms	x	@	0	((* (sqrt (* (/ y z) x)) (sqrt (* (/ y z) x))) (/ (* x (+ y z)) z) (sqrt (* (/ y z) x)) (* (/ y z) x) (/ (* x (+ y z)) z) (/ y z) (/ (* (+ (* (neg z) z) (* y y)) x) (* (- z y) (neg z))) (* (+ (* (neg z) z) (* y y)) x) (+ (* (neg z) z) (* y y)) (* y y) (* (- z y) (neg z)))

simplify148.0ms (2.4%)

Memory

7.8MiB live, 194.0MiB allocated; 14ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	246
1	248	231
2	824	224
3	3874	224
0	8270	220

Stop Event

1×	iter limit
1×	node limit

Counts

30 → 29

Calls

Call 1

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

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

rewrite143.0ms (2.3%)

Memory

-23.2MiB live, 210.7MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	125
0	32	109
1	111	106
2	715	104
3	7521	104
0	8346	104

Stop Event

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

Counts

11 → 250

Calls

Call 1

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

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

eval27.0ms (0.4%)

Memory: 29.5MiB live, 75.6MiB allocated; 3ms collecting garbage
Compiler: Compiled 7 297 to 932 computations (87.2% saved)

prune47.0ms (0.8%)

Memory

-37.5MiB live, 66.9MiB allocated; 11ms collecting garbage

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	301	0	301
Fresh	0	0	0
Picked	0	3	3
Done	0	5	5
Total	301	8	309

Accuracy

100.0%

Counts

309 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	29.5%	(/.f64 (.f64 #s(approx (+ ( (neg z) z) (* y y)) (.f64 y y)) x) #s(approx ( (- z y) (neg z)) (*.f64 z y)))
✓	38.4%	(/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z)
✓	47.1%	(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
✓	87.3%	(*.f64 (/.f64 x z) (+.f64 z y))
✓	95.5%	#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))
✓	44.9%	#s(approx (/ (* x (+ y z)) z) (*.f64 (/.f64 y z) x))
✓	45.0%	#s(approx (/ (* x (+ y z)) z) (*.f64 (/.f64 x z) y))
✓	24.6%	#s(approx (/ (* x (+ y z)) z) (.f64 (sqrt.f64 (.f64 (/.f64 y z) x)) (sqrt.f64 (*.f64 (/.f64 y z) x))))

Compiler

Compiled 303 to 129 computations (57.4% saved)

regimes15.0ms (0.3%)

Memory

44.7MiB live, 44.7MiB allocated; 0ms collecting garbage

Counts

12 → 2

Calls

Call 1

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

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

Calls

4 calls:

4.0ms	z
4.0ms	y
4.0ms	x
4.0ms	(/.f64 (*.f64 x (+.f64 y z)) z)

Results

Accuracy	Segments	Branch
98.1%	2	`(/.f64 (*.f64 x (+.f64 y z)) z)`
95.5%	1	`x`
95.5%	1	`y`
95.5%	1	`z`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes4.0ms (0.1%)

Memory

-34.5MiB live, 11.2MiB allocated; 1ms collecting garbage

Counts

6 → 2

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
97.9%	2	`(/.f64 (*.f64 x (+.f64 y z)) z)`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes8.0ms (0.1%)

Memory

27.4MiB live, 27.4MiB allocated; 0ms collecting garbage

Counts

4 → 3

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
61.5%	3	`z`
55.2%	5	`x`
68.3%	3	`y`
70.0%	3	`(/.f64 (*.f64 x (+.f64 y z)) z)`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes10.0ms (0.2%)

Memory

-18.0MiB live, 23.9MiB allocated; 5ms collecting garbage

Counts

3 → 1

Calls

Call 1

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

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

Calls

4 calls:

4.0ms	y
2.0ms	z
2.0ms	x
1.0ms	(/.f64 (*.f64 x (+.f64 y z)) z)

Results

Accuracy	Segments	Branch
47.1%	1	`x`
47.1%	1	`z`
47.1%	1	`y`
47.1%	1	`(/.f64 (*.f64 x (+.f64 y z)) z)`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes6.0ms (0.1%)

Memory

19.9MiB live, 19.9MiB allocated; 0ms collecting garbage

Counts

2 → 2

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
47.3%	2	`x`
45.0%	1	`z`
45.0%	1	`(/.f64 (*.f64 x (+.f64 y z)) z)`
45.0%	1	`y`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes2.0ms (0%)

Memory

8.3MiB live, 8.3MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
45.0%	1	`y`
45.0%	1	`x`

Compiler

Compiled 2 to 6 computations (-200% saved)

bsearch0.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-7.405558430720615e+34	-6.809558091202468e+32

Compiler

Compiled 10 to 12 computations (-20% saved)

bsearch0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-7.405558430720615e+34	-6.809558091202468e+32

Compiler

Compiled 10 to 12 computations (-20% saved)

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0478279346859992e+233	1.5323500280254295e+235
0.0ms	-3.006835143193993e-243	0.0

Compiler

Compiled 10 to 12 computations (-20% saved)

bsearch12.0ms (0.2%)

Memory

-21.6MiB live, 29.1MiB allocated; 7ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	6.808390302102275e-74	2.6484249005388012e-73

Samples

8.0ms

80×

valid

Compiler

Compiled 140 to 112 computations (20% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-mult: 5.0ms (81.5% of total)

ival-div: 1.0ms (16.3% of total)

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

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

adjust: 0.0ms (0% of total)

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

simplify65.0ms (1%)

Memory

5.6MiB live, 94.5MiB allocated; 18ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	175
1	46	175
2	69	175
3	102	175
4	171	175
5	517	175
6	2352	175
7	6451	175

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (.f64 x (+.f64 y z)) z) #s(literal -49999999999999998431683053958987776 binary64)) (/.f64 (.f64 x (+.f64 y z)) z) #s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x)))
(if (<=.f64 (/.f64 (.f64 x (+.f64 y z)) z) #s(literal -49999999999999998431683053958987776 binary64)) (/.f64 #s(approx ( x (+ y z)) (.f64 y x)) z) #s(approx (/ ( x (+ y z)) z) (fma.f64 (/.f64 y z) x x)))
(if (<=.f64 (/.f64 (.f64 x (+.f64 y z)) z) #s(literal -7687697232696013/3843848616348006517745232740100739512991620911897345810779084488070467360061046634469074021673129666994459657822569196861021537621146748550021867984199631441940340184366542119596353715143242451107829641173966144591017133590878523965063482310266674005030207488 binary64)) (/.f64 #s(approx ( x (+ y z)) (.f64 y x)) z) (if (<=.f64 (/.f64 (.f64 x (+.f64 y z)) z) #s(literal 199999999999999994748125414798206386781940654103870288115773705575754254101707450789247290045244536209973628038081508917958515474913592325519839455614458997134622285207612621595766999084978486403653867899125617898089591542962949455872 binary64)) (/.f64 #s(approx (* x (+ y z)) (.f64 z x)) z) #s(approx (/ ( x (+ y z)) z) (*.f64 (/.f64 x z) y))))
(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
(if (<=.f64 x #s(literal 4137729326929425/15914343565113172548972231940698266883214596825515126958094847260581103904401068017057792 binary64)) #s(approx (/ (* x (+ y z)) z) (.f64 (/.f64 x z) y)) #s(approx (/ ( x (+ y z)) z) (*.f64 (/.f64 y z) x)))
#s(approx (/ (* x (+ y z)) z) (*.f64 (/.f64 x z) y))

Outputs
(if (<=.f64 (/.f64 (.f64 x (+.f64 y z)) z) #s(literal -49999999999999998431683053958987776 binary64)) (/.f64 (.f64 x (+.f64 y z)) z) #s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x)))
(if (<=.f64 (/.f64 (.f64 x (+.f64 y z)) z) #s(literal -49999999999999998431683053958987776 binary64)) (/.f64 #s(approx ( x (+ y z)) (.f64 y x)) z) #s(approx (/ ( x (+ y z)) z) (fma.f64 (/.f64 y z) x x)))
(if (<=.f64 (/.f64 (.f64 x (+.f64 y z)) z) #s(literal -7687697232696013/3843848616348006517745232740100739512991620911897345810779084488070467360061046634469074021673129666994459657822569196861021537621146748550021867984199631441940340184366542119596353715143242451107829641173966144591017133590878523965063482310266674005030207488 binary64)) (/.f64 #s(approx ( x (+ y z)) (.f64 y x)) z) (if (<=.f64 (/.f64 (.f64 x (+.f64 y z)) z) #s(literal 199999999999999994748125414798206386781940654103870288115773705575754254101707450789247290045244536209973628038081508917958515474913592325519839455614458997134622285207612621595766999084978486403653867899125617898089591542962949455872 binary64)) (/.f64 #s(approx (* x (+ y z)) (.f64 z x)) z) #s(approx (/ ( x (+ y z)) z) (*.f64 (/.f64 x z) y))))
(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
(if (<=.f64 x #s(literal 4137729326929425/15914343565113172548972231940698266883214596825515126958094847260581103904401068017057792 binary64)) #s(approx (/ (* x (+ y z)) z) (.f64 (/.f64 x z) y)) #s(approx (/ ( x (+ y z)) z) (*.f64 (/.f64 y z) x)))
#s(approx (/ (* x (+ y z)) z) (*.f64 (/.f64 x z) y))

derivations589.0ms (9.5%)

Memory

35.3MiB live, 591.1MiB allocated; 179ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	94
1	180	94
2	560	94
3	1615	94
4	3319	94
5	4802	94
6	5154	94
7	5670	94
0	8112	89
0	29	144
0	45	120
1	193	105
2	1440	105
0	8613	104
0	95	308
1	342	298
2	1079	292
3	4434	292
0	8252	283

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

Compiler

Compiled 175 to 36 computations (79.4% saved)

preprocess112.0ms (1.8%)

Memory: -2.0MiB live, 230.9MiB allocated; 24ms collecting garbage
Compiler: Compiled 440 to 126 computations (71.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze1.2s (19.1%)

sample865.0ms (14%)

explain62.0ms (1%)

preprocess218.0ms (3.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify160.0ms (2.6%)

localize33.0ms (0.5%)

series8.0ms (0.1%)

simplify169.0ms (2.7%)

rewrite318.0ms (5.1%)

eval124.0ms (2%)

prune9.0ms (0.1%)

simplify104.0ms (1.7%)

localize109.0ms (1.8%)

series69.0ms (1.1%)

simplify209.0ms (3.4%)

rewrite239.0ms (3.9%)

eval99.0ms (1.6%)

prune34.0ms (0.5%)

simplify106.0ms (1.7%)

localize77.0ms (1.2%)

series61.0ms (1%)

simplify202.0ms (3.3%)

rewrite175.0ms (2.8%)

eval141.0ms (2.3%)

prune17.0ms (0.3%)

simplify95.0ms (1.5%)

localize72.0ms (1.2%)

series46.0ms (0.7%)

simplify148.0ms (2.4%)

rewrite143.0ms (2.3%)

eval27.0ms (0.4%)

prune47.0ms (0.8%)

regimes15.0ms (0.3%)

regimes4.0ms (0.1%)

regimes8.0ms (0.1%)

regimes10.0ms (0.2%)

regimes6.0ms (0.1%)

regimes2.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch12.0ms (0.2%)

simplify65.0ms (1%)

derivations589.0ms (9.5%)

preprocess112.0ms (1.8%)

end0.0ms (0%)

Profiling