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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze45.0ms (0.8%)

Memory

-3.6MiB live, 71.6MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample751.0ms (13.9%)

Memory

6.8MiB live, 1 018.8MiB allocated

Samples

476.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 259.0ms

ival-div: 130.0ms (50.3% of total)

ival-mult: 61.0ms (23.6% of total)

ival-add: 58.0ms (22.4% of total)

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

ival-assert: 3.0ms (1.2% of total)

Bogosity

explain59.0ms (1.1%)

Memory

1.5MiB live, 114.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
42	-	-	`(/.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	34	0
↳	`(*.f64 x (+.f64 y z))`	overflow	54
`/.f64`	`(/.f64 (*.f64 x (+.f64 y z)) z)`	u/n	8	0
↳	`(*.f64 x (+.f64 y z))`	underflow	8

Confusion

	Predicted +	Predicted -
+	42	0
-	0	214

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	42	0	0
-	0	0	214

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	214
1	42

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

26.0ms

512×

valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-div: 4.0ms (37.8% of total)

ival-add: 3.0ms (28.4% of total)

ival-mult: 3.0ms (28.4% of total)

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

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

preprocess208.0ms (3.8%)

Memory

6.9MiB live, 209.8MiB allocated

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

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	84.4%	(/.f64 (*.f64 x (+.f64 y z)) z)

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify186.0ms (3.5%)

Memory

-31.4MiB live, 173.0MiB allocated

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

localize16.0ms (0.3%)

Memory

27.9MiB live, 27.9MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 y z)
accuracy	0.01171875	(*.f64 x (+.f64 y z))
accuracy	9.992937603446112	(/.f64 (*.f64 x (+.f64 y z)) z)

Samples

12.0ms

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 (38.7% of total)

ival-mult: 2.0ms (38.7% of total)

ival-add: 1.0ms (19.3% of total)

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

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

series30.0ms (0.6%)

Memory

-26.1MiB live, 12.8MiB allocated

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
24.0ms	x	@	-inf	((/ (* x (+ y z)) z) (* x (+ y z)) (+ y z))
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	@	0	((/ (* x (+ y z)) z) (* x (+ y z)) (+ y z))
1.0ms	z	@	-inf	((/ (* x (+ y z)) z) (* x (+ y z)) (+ y z))

simplify157.0ms (2.9%)

Memory

26.5MiB live, 108.8MiB allocated

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)

rewrite320.0ms (5.9%)

Memory

-26.5MiB live, 129.8MiB allocated

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))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) x)) (neg.f64 (.f64 (neg.f64 (fma.f64 (-.f64 z y) z (*.f64 y 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)) z)))
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(+.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)

eval78.0ms (1.4%)

Memory: 29.3MiB live, 63.9MiB allocated
Compiler: Compiled 12 886 to 1 526 computations (88.2% saved)

prune32.0ms (0.6%)

Memory

-12.8MiB live, 25.9MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	408	9	417
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	409	9	418

Accuracy

100.0%

Counts

418 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	93.8%	(fma.f64 y (/.f64 x z) (*.f64 x #s(literal 1 binary64)))
▶	91.8%	(fma.f64 x #s(literal 1 binary64) (/.f64 (*.f64 y x) z))
	97.3%	(fma.f64 #s(literal 1 binary64) x (*.f64 (/.f64 y z) x))
▶	51.6%	(/.f64 (fma.f64 (.f64 z x) z (.f64 z (.f64 y x))) (.f64 z z))
	32.5%	(/.f64 (+.f64 (pow.f64 (.f64 z x) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (.f64 (fma.f64 (.f64 z x) (-.f64 (.f64 z x) (.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) z))
	45.8%	(/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z)
▶	41.6%	(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
▶	80.8%	(*.f64 (/.f64 x z) (+.f64 z y))
▶	97.3%	#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))

Compiler

Compiled 222 to 152 computations (31.5% saved)

simplify107.0ms (2%)

Memory

-15.9MiB live, 71.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 z (.f64 y x))
cost-diff	0	(*.f64 z x)
cost-diff	3	(fma.f64 (.f64 z x) z (.f64 z (*.f64 y x)))
cost-diff	5	(/.f64 (fma.f64 (.f64 z x) z (.f64 z (.f64 y x))) (.f64 z z))
cost-diff	0	(*.f64 y x)
cost-diff	0	(/.f64 (*.f64 y x) z)
cost-diff	2	(fma.f64 x #s(literal 1 binary64) (/.f64 (*.f64 y x) 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 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: 2 (0.0ms)

Iter	Nodes	Cost
0	23	129
0	40	118
1	83	115
2	257	114
3	1244	114
4	4824	114
0	8119	114

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

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

localize86.0ms (1.6%)

Memory

23.0MiB live, 62.1MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 y x)
accuracy	3.3437389909263837	(fma.f64 (.f64 z x) z (.f64 z (*.f64 y x)))
accuracy	6.308682927913607	(.f64 z (.f64 y x))
accuracy	30.003539027202198	(/.f64 (fma.f64 (.f64 z x) z (.f64 z (.f64 y x))) (.f64 z z))
accuracy	0.0	(*.f64 y x)
accuracy	0.01171875	(fma.f64 x #s(literal 1 binary64) (/.f64 (*.f64 y x) z))
accuracy	5.990599390292456	(/.f64 (*.f64 y x) z)
accuracy	0.0	(/.f64 x z)
accuracy	0.0	(+.f64 z y)
accuracy	12.260058752775704	(*.f64 (/.f64 x z) (+.f64 z y))
accuracy	0.0	(*.f64 y x)
accuracy	9.992937603446112	(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
accuracy	33.35417392557662	#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	1.7322810159495516	(fma.f64 (/.f64 y z) x x)

Samples

73.0ms

256×

valid

Compiler

Compiled 120 to 25 computations (79.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 59.0ms

ival-mult: 45.0ms (76.3% of total)

ival-div: 8.0ms (13.6% of total)

ival-add: 6.0ms (10.2% of total)

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

exact: 0.0ms (0% of total)

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

series57.0ms (1.1%)

Memory

-4.8MiB live, 34.3MiB allocated

Counts

15 → 37

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

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

Calls

9 calls:

Time	Variable		Point	Expression
34.0ms	x	@	-inf	((/ (* x (+ y z)) z) (+ (* (/ y z) x) x) (/ y z) (/ (* x (+ y z)) z) (* x (+ y z)) (* y x) (* (/ x z) (+ z y)) (/ x z) (+ z y) (+ (* x 1) (/ (* y x) z)) (/ (* y x) z) (/ (+ (* (* z x) z) (* z (* y x))) (* z z)) (+ (* (* z x) z) (* z (* y x))) (* z x) (* z (* y x)))
5.0ms	z	@	0	((/ (* x (+ y z)) z) (+ (* (/ y z) x) x) (/ y z) (/ (* x (+ y z)) z) (* x (+ y z)) (* y x) (* (/ x z) (+ z y)) (/ x z) (+ z y) (+ (* x 1) (/ (* y x) z)) (/ (* y x) z) (/ (+ (* (* z x) z) (* z (* y x))) (* z z)) (+ (* (* z x) z) (* z (* y x))) (* z x) (* z (* y x)))
4.0ms	x	@	0	((/ (* x (+ y z)) z) (+ (* (/ y z) x) x) (/ y z) (/ (* x (+ y z)) z) (* x (+ y z)) (* y x) (* (/ x z) (+ z y)) (/ x z) (+ z y) (+ (* x 1) (/ (* y x) z)) (/ (* y x) z) (/ (+ (* (* z x) z) (* z (* y x))) (* z z)) (+ (* (* z x) z) (* z (* y x))) (* z x) (* z (* y x)))
3.0ms	x	@	inf	((/ (* x (+ y z)) z) (+ (* (/ y z) x) x) (/ y z) (/ (* x (+ y z)) z) (* x (+ y z)) (* y x) (* (/ x z) (+ z y)) (/ x z) (+ z y) (+ (* x 1) (/ (* y x) z)) (/ (* y x) z) (/ (+ (* (* z x) z) (* z (* y x))) (* z z)) (+ (* (* z x) z) (* z (* y x))) (* z x) (* z (* y x)))
3.0ms	z	@	-inf	((/ (* x (+ y z)) z) (+ (* (/ y z) x) x) (/ y z) (/ (* x (+ y z)) z) (* x (+ y z)) (* y x) (* (/ x z) (+ z y)) (/ x z) (+ z y) (+ (* x 1) (/ (* y x) z)) (/ (* y x) z) (/ (+ (* (* z x) z) (* z (* y x))) (* z z)) (+ (* (* z x) z) (* z (* y x))) (* z x) (* z (* y x)))

simplify207.0ms (3.8%)

Memory

4.4MiB live, 85.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	207
1	302	193
2	973	193
3	3779	193
4	6591	193
0	8292	184

Stop Event

1×	iter limit
1×	node limit

Counts

37 → 34

Calls

Call 1

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

rewrite258.0ms (4.8%)

Memory

-13.8MiB live, 99.2MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	104
0	40	95
1	164	92
2	1125	92
0	8417	92

Stop Event

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

Counts

15 → 1 096

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

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

eval129.0ms (2.4%)

Memory: 10.4MiB live, 56.2MiB allocated
Compiler: Compiled 17 559 to 1 960 computations (88.8% saved)

prune60.0ms (1.1%)

Memory

-11.9MiB live, 26.7MiB allocated

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	679	4	683
Fresh	3	1	4
Picked	3	2	5
Done	0	0	0
Total	685	7	692

Accuracy

100.0%

Counts

692 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	41.9%	(fma.f64 (/.f64 (.f64 (.f64 z x) y) (neg.f64 z)) (/.f64 #s(literal 1 binary64) (neg.f64 z)) (.f64 (/.f64 (.f64 z z) z) (/.f64 x z)))
▶	52.0%	(/.f64 (.f64 z (.f64 (+.f64 z y) x)) (*.f64 z z))
▶	45.8%	(/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z)
✓	41.6%	(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
▶	93.8%	#s(approx (/ (+ (* (* z x) z) (* z (* y x))) (* z z)) (fma.f64 (/.f64 x z) y x))
✓	97.3%	#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))
▶	93.8%	#s(approx (/ (* x (+ y z)) z) (+.f64 (*.f64 (/.f64 x z) y) x))

Compiler

Compiled 187 to 123 computations (34.2% saved)

simplify71.0ms (1.3%)

Memory

25.0MiB live, 25.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	3	(fma.f64 (/.f64 (.f64 (.f64 z x) y) (neg.f64 z)) (/.f64 #s(literal 1 binary64) (neg.f64 z)) (.f64 (/.f64 (.f64 z z) z) (/.f64 x z)))
cost-diff	4	(/.f64 (*.f64 z z) z)
cost-diff	4	(.f64 (/.f64 (.f64 z z) z) (/.f64 x z))
cost-diff	4	(/.f64 (.f64 (.f64 z x) y) (neg.f64 z))
cost-diff	0	(+.f64 z y)
cost-diff	0	(*.f64 (+.f64 z y) x)
cost-diff	0	(.f64 z (.f64 (+.f64 z y) x))
cost-diff	5	(/.f64 (.f64 z (.f64 (+.f64 z y) x)) (*.f64 z z))
cost-diff	0	(/.f64 x z)
cost-diff	0	(fma.f64 (/.f64 x z) y x)
cost-diff	0	#s(approx (/ (+ (* (* z x) z) (* z (* y x))) (* z z)) (fma.f64 (/.f64 x z) y x))
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 x z)
cost-diff	0	(*.f64 (/.f64 x z) y)
cost-diff	0	#s(approx (/ (* x (+ y z)) z) (+.f64 (*.f64 (/.f64 x z) y) x))
cost-diff	1	(+.f64 (*.f64 (/.f64 x z) y) x)

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	35	190
0	54	149
1	122	146
2	414	142
3	1978	142
4	5423	142
0	8315	142

Stop Event

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

Calls

Call 1

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

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

localize108.0ms (2%)

Memory

-33.8MiB live, 125.3MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	5.289224625550522	(fma.f64 (/.f64 (.f64 (.f64 z x) y) (neg.f64 z)) (/.f64 #s(literal 1 binary64) (neg.f64 z)) (.f64 (/.f64 (.f64 z z) z) (/.f64 x z)))
accuracy	8.667518237233885	(/.f64 (.f64 (.f64 z x) y) (neg.f64 z))
accuracy	16.879579234376035	(.f64 (/.f64 (.f64 z z) z) (/.f64 x z))
accuracy	30.47748168615399	(/.f64 (*.f64 z z) z)
accuracy	0.0	(*.f64 z z)
accuracy	0.01171875	(*.f64 (+.f64 z y) x)
accuracy	3.20824392267033	(.f64 z (.f64 (+.f64 z y) x))
accuracy	30.003539027202198	(/.f64 (.f64 z (.f64 (+.f64 z y) x)) (*.f64 z z))
accuracy	0.0	(/.f64 x z)
accuracy	0.0	#s(approx (/ (+ (* (* z x) z) (* z (* y x))) (* z z)) (fma.f64 (/.f64 x z) y x))
accuracy	3.960959245086224	(fma.f64 (/.f64 x z) y x)
accuracy	0.0	(*.f64 z x)
accuracy	9.992937603446112	(/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z)
accuracy	26.58475653142826	#s(approx (* x (+ y z)) (*.f64 z x))
accuracy	0.0	(/.f64 x z)
accuracy	0.0	#s(approx (/ (* x (+ y z)) z) (+.f64 (*.f64 (/.f64 x z) y) x))
accuracy	0.01171875	(+.f64 (*.f64 (/.f64 x z) y) x)
accuracy	5.788940731056818	(*.f64 (/.f64 x z) y)

Samples

88.0ms

256×

valid

Compiler

Compiled 173 to 31 computations (82.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

ival-div: 29.0ms (51.4% of total)

ival-mult: 20.0ms (35.5% of total)

ival-add: 6.0ms (10.6% of total)

ival-neg: 1.0ms (1.8% of total)

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

exact: 0.0ms (0% of total)

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

series22.0ms (0.4%)

Memory

17.4MiB live, 55.3MiB allocated

Counts

18 → 37

Calls

Call 1

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

Outputs
(* x (+ 1 (/ y z)))
(/ (* x (+ y z)) z)
(/ (* x y) z)
(/ x z)
(* x (+ y z))
(* x z)
(/ (* x (+ (* y z) (pow z 2))) (pow z 2))
(* x (* z (+ y z)))
(* -1 (* x y))
x
(* -1 (* x (- (* -1 (/ y z)) 1)))
(* -1 (/ (* x (+ (* -1 (* y z)) (* -1 (pow z 2)))) (pow z 2)))
(+ x (/ (* x y) z))
(+ (* x y) (* x z))
(* x (pow z 2))
(+ (* x (* y z)) (* x (pow z 2)))
z
(+ y z)
(* y (+ (/ x y) (/ x z)))
(* x y)
(* y (+ x (/ (* x z) y)))
(* x (* y z))
(* y (+ (* x z) (/ (* x (pow z 2)) 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 (* x z)) (* -1 (/ (* x (pow z 2)) y)))))
(* -1 (* y (- (* -1 (/ z y)) 1)))
(/ (+ (* x y) (* x z)) z)
(* z (+ (* x y) (* x z)))
(pow z 2)
(* z (+ x (/ (* x y) z)))
(* (pow z 2) (+ 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
4.0ms	x	@	-inf	((+ (* (/ x z) y) x) (/ (* x (+ y z)) z) (* (/ x z) y) (/ x z) (/ (* x (+ y z)) z) (* x (+ y z)) (* z x) (/ (+ (* (* z x) z) (* z (* y x))) (* z z)) (+ (* (/ x z) y) x) (/ (* z (* (+ z y) x)) (* z z)) (* z (* (+ z y) x)) (* (+ z y) x) (+ z y) (/ (* (* z x) y) (neg z)) (* (/ (* z z) z) (/ x z)) (/ (* z z) z) (+ (* (/ (* (* z x) y) (neg z)) (/ 1 (neg z))) (* (/ (* z z) z) (/ x z))) (* z z))
3.0ms	z	@	0	((+ (* (/ x z) y) x) (/ (* x (+ y z)) z) (* (/ x z) y) (/ x z) (/ (* x (+ y z)) z) (* x (+ y z)) (* z x) (/ (+ (* (* z x) z) (* z (* y x))) (* z z)) (+ (* (/ x z) y) x) (/ (* z (* (+ z y) x)) (* z z)) (* z (* (+ z y) x)) (* (+ z y) x) (+ z y) (/ (* (* z x) y) (neg z)) (* (/ (* z z) z) (/ x z)) (/ (* z z) z) (+ (* (/ (* (* z x) y) (neg z)) (/ 1 (neg z))) (* (/ (* z z) z) (/ x z))) (* z z))
3.0ms	x	@	inf	((+ (* (/ x z) y) x) (/ (* x (+ y z)) z) (* (/ x z) y) (/ x z) (/ (* x (+ y z)) z) (* x (+ y z)) (* z x) (/ (+ (* (* z x) z) (* z (* y x))) (* z z)) (+ (* (/ x z) y) x) (/ (* z (* (+ z y) x)) (* z z)) (* z (* (+ z y) x)) (* (+ z y) x) (+ z y) (/ (* (* z x) y) (neg z)) (* (/ (* z z) z) (/ x z)) (/ (* z z) z) (+ (* (/ (* (* z x) y) (neg z)) (/ 1 (neg z))) (* (/ (* z z) z) (/ x z))) (* z z))
3.0ms	z	@	-inf	((+ (* (/ x z) y) x) (/ (* x (+ y z)) z) (* (/ x z) y) (/ x z) (/ (* x (+ y z)) z) (* x (+ y z)) (* z x) (/ (+ (* (* z x) z) (* z (* y x))) (* z z)) (+ (* (/ x z) y) x) (/ (* z (* (+ z y) x)) (* z z)) (* z (* (+ z y) x)) (* (+ z y) x) (+ z y) (/ (* (* z x) y) (neg z)) (* (/ (* z z) z) (/ x z)) (/ (* z z) z) (+ (* (/ (* (* z x) y) (neg z)) (/ 1 (neg z))) (* (/ (* z z) z) (/ x z))) (* z z))
3.0ms	x	@	0	((+ (* (/ x z) y) x) (/ (* x (+ y z)) z) (* (/ x z) y) (/ x z) (/ (* x (+ y z)) z) (* x (+ y z)) (* z x) (/ (+ (* (* z x) z) (* z (* y x))) (* z z)) (+ (* (/ x z) y) x) (/ (* z (* (+ z y) x)) (* z z)) (* z (* (+ z y) x)) (* (+ z y) x) (+ z y) (/ (* (* z x) y) (neg z)) (* (/ (* z z) z) (/ x z)) (/ (* z z) z) (+ (* (/ (* (* z x) y) (neg z)) (/ 1 (neg z))) (* (/ (* z z) z) (/ x z))) (* z z))

simplify123.0ms (2.3%)

Memory

0.7MiB live, 190.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	190
1	307	190
2	969	190
3	3722	190
4	6605	190
0	8309	181

Stop Event

1×	iter limit
1×	node limit

Counts

37 → 34

Calls

Call 1

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

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

rewrite188.0ms (3.5%)

Memory

17.4MiB live, 340.5MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	35	152
0	54	133
1	207	123
2	1642	119
0	8225	119

Stop Event

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

Counts

18 → 1 490

Calls

Call 1

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

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

eval96.0ms (1.8%)

Memory: 14.0MiB live, 250.4MiB allocated
Compiler: Compiled 22 206 to 2 363 computations (89.4% saved)

prune17.0ms (0.3%)

Memory

-13.3MiB live, 64.9MiB allocated

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	895	2	897
Fresh	0	0	0
Picked	2	3	5
Done	0	2	2
Total	897	7	904

Accuracy

100.0%

Counts

904 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	69.8%	(fma.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (.f64 (.f64 y x) #s(literal 1 binary64))) (.f64 (.f64 (/.f64 x z) z) #s(literal 1 binary64)))
▶	27.1%	(/.f64 #s(approx (* z (* (+ z y) x)) (.f64 (.f64 y z) x)) (*.f64 z z))
✓	45.8%	(/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z)
✓	41.6%	(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
✓	93.8%	#s(approx (/ (+ (* (* z x) z) (* z (* y x))) (* z z)) (fma.f64 (/.f64 x z) y x))
✓	97.3%	#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))
✓	93.8%	#s(approx (/ (* x (+ y z)) z) (+.f64 (*.f64 (/.f64 x z) y) x))

Compiler

Compiled 107 to 72 computations (32.7% saved)

simplify142.0ms (2.6%)

Memory

-30.3MiB live, 140.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score
cost-diff	2	(.f64 (.f64 (/.f64 x z) z) #s(literal 1 binary64))
cost-diff	2	(.f64 (.f64 y x) #s(literal 1 binary64))
cost-diff	3	(fma.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (.f64 (.f64 y x) #s(literal 1 binary64))) (.f64 (.f64 (/.f64 x z) z) #s(literal 1 binary64)))
cost-diff	4	(*.f64 (/.f64 x z) z)
cost-diff	0	(*.f64 y z)
cost-diff	0	(.f64 (.f64 y z) x)
cost-diff	0	#s(approx (* z (* (+ z y) x)) (.f64 (.f64 y z) x))
cost-diff	0	(/.f64 #s(approx (* z (* (+ z y) x)) (.f64 (.f64 y z) x)) (*.f64 z z))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	98
0	34	80
1	79	78
2	204	74
3	643	74
4	1721	74
5	3269	74
6	4744	74
7	6449	74
8	7082	74
9	7333	74
10	7389	74
0	8070	73

Stop Event

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

Calls

Call 1

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

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

localize59.0ms (1.1%)

Memory

8.9MiB live, 130.3MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 y x)
accuracy	0.0	(neg.f64 (.f64 (.f64 y x) #s(literal 1 binary64)))
accuracy	5.289224625550522	(fma.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (.f64 (.f64 y x) #s(literal 1 binary64))) (.f64 (.f64 (/.f64 x z) z) #s(literal 1 binary64)))
accuracy	16.879579234376035	(*.f64 (/.f64 x z) z)
accuracy	0.0	(*.f64 y z)
accuracy	5.869655975823317	(.f64 (.f64 y z) x)
accuracy	30.003539027202198	(/.f64 #s(approx (* z (* (+ z y) x)) (.f64 (.f64 y z) x)) (*.f64 z z))
accuracy	30.89763725211927	#s(approx (* z (* (+ z y) x)) (.f64 (.f64 y z) x))

Samples

46.0ms

256×

valid

Compiler

Compiled 89 to 23 computations (74.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-mult: 16.0ms (64% of total)

ival-div: 5.0ms (20% of total)

ival-add: 3.0ms (12% of total)

ival-neg: 1.0ms (4% of total)

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

exact: 0.0ms (0% of total)

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

series16.0ms (0.3%)

Memory

-6.7MiB live, 31.5MiB allocated

Counts

10 → 20

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	z	@	inf	((/ (* z (* (+ z y) x)) (* z z)) (* z (* (+ z y) x)) (* (* y z) x) (* y z) (* (/ x z) z) (+ (* (/ -1 z) (neg (* (* y x) 1))) (* (* (/ x z) z) 1)) (* (* y x) 1) (* (* (/ x z) z) 1) (neg (* (* y x) 1)) (* y x))
2.0ms	x	@	-inf	((/ (* z (* (+ z y) x)) (* z z)) (* z (* (+ z y) x)) (* (* y z) x) (* y z) (* (/ x z) z) (+ (* (/ -1 z) (neg (* (* y x) 1))) (* (* (/ x z) z) 1)) (* (* y x) 1) (* (* (/ x z) z) 1) (neg (* (* y x) 1)) (* y x))
2.0ms	y	@	-inf	((/ (* z (* (+ z y) x)) (* z z)) (* z (* (+ z y) x)) (* (* y z) x) (* y z) (* (/ x z) z) (+ (* (/ -1 z) (neg (* (* y x) 1))) (* (* (/ x z) z) 1)) (* (* y x) 1) (* (* (/ x z) z) 1) (neg (* (* y x) 1)) (* y x))
1.0ms	z	@	-inf	((/ (* z (* (+ z y) x)) (* z z)) (* z (* (+ z y) x)) (* (* y z) x) (* y z) (* (/ x z) z) (+ (* (/ -1 z) (neg (* (* y x) 1))) (* (* (/ x z) z) 1)) (* (* y x) 1) (* (* (/ x z) z) 1) (neg (* (* y x) 1)) (* y x))
1.0ms	x	@	inf	((/ (* z (* (+ z y) x)) (* z z)) (* z (* (+ z y) x)) (* (* y z) x) (* y z) (* (/ x z) z) (+ (* (/ -1 z) (neg (* (* y x) 1))) (* (* (/ x z) z) 1)) (* (* y x) 1) (* (* (/ x z) z) 1) (neg (* (* y x) 1)) (* y x))

simplify123.0ms (2.3%)

Memory

28.4MiB live, 181.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	117
1	173	117
2	520	117
3	1478	117
4	4405	117
0	8040	110

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 19

Calls

Call 1

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

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

rewrite190.0ms (3.5%)

Memory

3.2MiB live, 206.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	81
0	34	71
1	114	69
2	606	57
3	7332	57
0	8072	56

Stop Event

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

Counts

10 → 265

Calls

Call 1

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

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

eval29.0ms (0.5%)

Memory: -15.8MiB live, 60.3MiB allocated
Compiler: Compiled 5 397 to 638 computations (88.2% saved)

prune8.0ms (0.1%)

Memory

25.6MiB live, 25.6MiB allocated

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	234	2	236
Fresh	0	0	0
Picked	1	1	2
Done	0	5	5
Total	235	8	243

Accuracy

100.0%

Counts

243 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	91.7%	(fma.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) x) x)
✓	27.1%	(/.f64 #s(approx (* z (* (+ z y) x)) (.f64 (.f64 y z) x)) (*.f64 z z))
✓	45.8%	(/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z)
✓	41.6%	(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
✓	93.8%	#s(approx (/ (+ (* (* z x) z) (* z (* y x))) (* z z)) (fma.f64 (/.f64 x z) y x))
	44.1%	#s(approx (/ (* z (* (+ z y) x)) (* z z)) (*.f64 (/.f64 y z) x))
✓	97.3%	#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))
✓	93.8%	#s(approx (/ (* x (+ y z)) z) (+.f64 (*.f64 (/.f64 x z) y) x))

Compiler

Compiled 364 to 161 computations (55.8% saved)

regimes26.0ms (0.5%)

Memory

-33.9MiB live, 48.7MiB allocated

Counts

18 → 1

Calls

Call 1

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

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

Calls

4 calls:

8.0ms	x
5.0ms	z
5.0ms	y
5.0ms	(/.f64 (*.f64 x (+.f64 y z)) z)

Results

Accuracy	Segments	Branch
97.3%	1	`x`
97.3%	1	`y`
97.3%	1	`z`
97.3%	1	`(/.f64 (*.f64 x (+.f64 y z)) z)`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes7.0ms (0.1%)

Memory

18.7MiB live, 18.7MiB allocated

Counts

3 → 3

Calls

Call 1

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
64.3%	3	`y`
68.0%	3	`z`
75.4%	3	`(/.f64 (*.f64 x (+.f64 y z)) z)`
54.0%	2	`x`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes7.0ms (0.1%)

Memory

-22.4MiB live, 16.7MiB allocated

Accuracy

Total -3.3b remaining (-9.2%)

Threshold costs -3.3b (-9.2%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

4 calls:

3.0ms	x
1.0ms	z
1.0ms	y
1.0ms	(/.f64 (*.f64 x (+.f64 y z)) z)

Results

Accuracy	Segments	Branch
44.1%	1	`x`
44.1%	1	`y`
44.1%	1	`z`
44.1%	1	`(/.f64 (*.f64 x (+.f64 y z)) z)`

Compiler

Compiled 10 to 15 computations (-50% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.7529473257037058e+184	2.2011971351233242e+185
0.0ms	-0.0	3.3194230878550443e-302

Compiler

Compiled 10 to 12 computations (-20% saved)

simplify39.0ms (0.7%)

Memory

15.7MiB live, 54.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	28	80
1	57	76
2	173	72
3	639	72
4	3197	72

Stop Event

1×	node limit

Calls

Call 1

Inputs

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

(if (<=.f64 (/.f64 (*.f64 x (+.f64 y z)) z) #s(literal 0 binary64)) #s(approx (/ (* z (* (+ z y) x)) (* z z)) (*.f64 (/.f64 y z) x)) (if (<=.f64 (/.f64 (*.f64 x (+.f64 y z)) z) #s(literal 49999999999999998980852208437685758555356472593342082603381605947872422739278055501808572305519799253930125569581478605944175487936819013075944738996003952930215442747098861295896625152 binary64)) (/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z) #s(approx (/ (* z (* (+ z y) x)) (* z z)) (*.f64 (/.f64 y z) x))))

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

Outputs
#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))
(if (<=.f64 (/.f64 (.f64 x (+.f64 y z)) z) #s(literal 0 binary64)) #s(approx (/ ( z (* (+ z y) x)) (* z z)) (.f64 (/.f64 y z) x)) (if (<=.f64 (/.f64 (.f64 x (+.f64 y z)) z) #s(literal 49999999999999998980852208437685758555356472593342082603381605947872422739278055501808572305519799253930125569581478605944175487936819013075944738996003952930215442747098861295896625152 binary64)) (/.f64 #s(approx (* x (+ y z)) (.f64 z x)) z) #s(approx (/ ( z (* (+ z y) x)) (* z z)) (*.f64 (/.f64 y z) x))))
(if (or (<=.f64 (/.f64 (.f64 x (+.f64 y z)) z) #s(literal 0 binary64)) (not (<=.f64 (/.f64 (.f64 x (+.f64 y z)) z) #s(literal 49999999999999998980852208437685758555356472593342082603381605947872422739278055501808572305519799253930125569581478605944175487936819013075944738996003952930215442747098861295896625152 binary64)))) #s(approx (/ (* x (+ y z)) z) (.f64 (/.f64 y z) x)) (/.f64 #s(approx ( x (+ y z)) (*.f64 z x)) z))
#s(approx (/ (* z (* (+ z y) x)) (* z z)) (*.f64 (/.f64 y z) x))
#s(approx (/ (* x (+ y z)) z) (*.f64 (/.f64 y z) x))

soundness1.3s (24.1%)

Memory

-5.3MiB live, 715.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	104
0	40	95
1	164	92
2	1125	92
0	8417	92
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	81	190
1	307	190
2	969	190
3	3722	190
4	6605	190
0	8309	181
0	49	117
1	173	117
2	520	117
3	1478	117
4	4405	117
0	8040	110
0	6	15
0	9	15
1	35	15
2	223	15
3	1885	15
0	8701	15

Stop Event

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

Compiler

Compiled 195 to 102 computations (47.7% saved)

preprocess33.0ms (0.6%)

Memory: 1.1MiB live, 78.6MiB allocated
Remove: (negabs x)
Compiler: Compiled 228 to 108 computations (52.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze45.0ms (0.8%)

sample751.0ms (13.9%)

explain59.0ms (1.1%)

preprocess208.0ms (3.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify186.0ms (3.5%)

localize16.0ms (0.3%)

series30.0ms (0.6%)

simplify157.0ms (2.9%)

rewrite320.0ms (5.9%)

eval78.0ms (1.4%)

prune32.0ms (0.6%)

simplify107.0ms (2%)

localize86.0ms (1.6%)

series57.0ms (1.1%)

simplify207.0ms (3.8%)

rewrite258.0ms (4.8%)

eval129.0ms (2.4%)

prune60.0ms (1.1%)

simplify71.0ms (1.3%)

localize108.0ms (2%)

series22.0ms (0.4%)

simplify123.0ms (2.3%)

rewrite188.0ms (3.5%)

eval96.0ms (1.8%)

prune17.0ms (0.3%)

simplify142.0ms (2.6%)

localize59.0ms (1.1%)

series16.0ms (0.3%)

simplify123.0ms (2.3%)

rewrite190.0ms (3.5%)

eval29.0ms (0.5%)

prune8.0ms (0.1%)

regimes26.0ms (0.5%)

regimes7.0ms (0.1%)

regimes7.0ms (0.1%)

bsearch1.0ms (0%)

simplify39.0ms (0.7%)

soundness1.3s (24.1%)

preprocess33.0ms (0.6%)

end0.0ms (0%)

Profiling