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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze57.0ms (0.9%)

Memory

13.6MiB live, 113.6MiB 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)

sample913.0ms (14%)

Memory

-19.7MiB live, 1 403.7MiB allocated

Samples

532.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 232.0ms

ival-div: 104.0ms (44.8% of total)

ival-mult: 62.0ms (26.7% of total)

ival-add: 57.0ms (24.6% of total)

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

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

Bogosity

explain60.0ms (0.9%)

Memory

16.9MiB live, 117.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
43	-	2	(4.3015422999253865e-224 -8.303980109462292e-281 -1.7835254251884687e-100)	`(/.f64 (*.f64 x (+.f64 y z)) z)`
0	-	0	-	`(+.f64 y z)`
0	-	0	-	`y`
0	-	0	-	`z`
0	-	0	-	`(*.f64 x (+.f64 y z))`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (*.f64 x (+.f64 y z)) z)`	o/n	29	0
↳	`(*.f64 x (+.f64 y z))`	overflow	47
`/.f64`	`(/.f64 (*.f64 x (+.f64 y z)) z)`	u/n	12	0
↳	`(*.f64 x (+.f64 y z))`	underflow	12

Confusion

	Predicted +	Predicted -
+	41	2
-	0	213

Precision

1.0

Recall

0.9534883720930233

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	41	0	2
-	0	0	213

Precision?

1.0

Recall?

0.9534883720930233

Freqs

test

number	freq
0	215
1	41

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

27.0ms

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 (37.7% of total)

ival-add: 3.0ms (28.2% of total)

ival-mult: 3.0ms (28.2% of total)

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

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

preprocess210.0ms (3.2%)

Memory

10.6MiB live, 199.2MiB 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

1.0MiB live, 1.0MiB 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)

simplify209.0ms (3.2%)

Memory

-7.4MiB live, 217.8MiB 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

localize19.0ms (0.3%)

Memory

18.3MiB live, 63.2MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 y z)
accuracy	0.0078125	(*.f64 x (+.f64 y z))
accuracy	9.967952395144037	(/.f64 (*.f64 x (+.f64 y z)) z)

Samples

15.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

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

ival-add: 4.0ms (51.9% of total)

ival-div: 2.0ms (26% of total)

ival-mult: 2.0ms (26% of total)

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

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

series9.0ms (0.1%)

Memory

-23.6MiB live, 23.0MiB 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
3.0ms	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	z	@	-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))

simplify166.0ms (2.5%)

Memory

0.8MiB live, 204.9MiB 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)

rewrite178.0ms (2.7%)

Memory

-19.0MiB live, 275.5MiB 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)))
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(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 z y) z (.f64 y y))) (/.f64 (.f64 (neg.f64 (pow.f64 z #s(literal 3/2 binary64))) (pow.f64 z #s(literal 3/2 binary64))) (fma.f64 (-.f64 z y) z (*.f64 y y))))
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 z y) z (.f64 y y))) (/.f64 (.f64 (.f64 (neg.f64 z) z) z) (fma.f64 (-.f64 z y) z (.f64 y y))))
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 z y) z (.f64 y y))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 z y) z (.f64 y y))))
(-.f64 (.f64 z (/.f64 z (-.f64 z y))) (.f64 y (/.f64 y (-.f64 z y))))
(-.f64 (.f64 y (/.f64 y (-.f64 z y))) (.f64 z (/.f64 z (-.f64 z y))))
(-.f64 (neg.f64 y) z)
(-.f64 (neg.f64 z) y)
(-.f64 z (neg.f64 y))
(+.f64 (/.f64 (.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 z y) z (.f64 y y))) (fma.f64 (-.f64 z y) z (.f64 y y))) (neg.f64 (fma.f64 (-.f64 z y) z (.f64 y y)))) (/.f64 (.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 z y) z (.f64 y y))) (fma.f64 (-.f64 z y) z (.f64 y y))) (neg.f64 (fma.f64 (-.f64 z y) z (.f64 y y)))))
(+.f64 (/.f64 (.f64 (fma.f64 (-.f64 z y) z (.f64 y y)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 z y) z (.f64 y y)))) (neg.f64 (fma.f64 (-.f64 z y) z (.f64 y y)))) (/.f64 (.f64 (fma.f64 (-.f64 z y) z (.f64 y y)) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 z y) z (.f64 y y)))) (neg.f64 (fma.f64 (-.f64 z y) z (.f64 y y)))))
(+.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 9 binary64)) (-.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (pow.f64 (.f64 z y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 z y) z (.f64 y y)))) (/.f64 (/.f64 (pow.f64 z #s(literal 9 binary64)) (-.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (pow.f64 (.f64 z y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 z y) z (.f64 y y)))))
(+.f64 (/.f64 (.f64 y (fma.f64 (-.f64 z y) z (.f64 y y))) (neg.f64 (fma.f64 (-.f64 z y) z (.f64 y y)))) (/.f64 (.f64 (fma.f64 (-.f64 z y) z (.f64 y y)) z) (neg.f64 (fma.f64 (-.f64 z y) z (.f64 y y)))))
(+.f64 (/.f64 (.f64 (fma.f64 (-.f64 z y) z (.f64 y y)) y) (neg.f64 (fma.f64 (-.f64 z y) z (.f64 y y)))) (/.f64 (.f64 (fma.f64 (-.f64 z y) z (.f64 y y)) z) (neg.f64 (fma.f64 (-.f64 z y) z (.f64 y y)))))
(+.f64 (/.f64 (.f64 (fma.f64 (-.f64 z y) z (.f64 y y)) z) (neg.f64 (fma.f64 (-.f64 z y) z (.f64 y y)))) (/.f64 (.f64 y (fma.f64 (-.f64 z y) z (.f64 y y))) (neg.f64 (fma.f64 (-.f64 z y) z (.f64 y y)))))
(+.f64 (/.f64 (.f64 (fma.f64 (-.f64 z y) z (.f64 y y)) z) (neg.f64 (fma.f64 (-.f64 z y) z (.f64 y y)))) (/.f64 (.f64 (fma.f64 (-.f64 z y) z (.f64 y y)) y) (neg.f64 (fma.f64 (-.f64 z y) z (.f64 y y)))))
(+.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 z y) z (.f64 y y))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 z y) z (.f64 y y))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 z y) z (.f64 y y))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 z y) z (.f64 y y))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 z y) z (.f64 y y))))))) (/.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 z y) z (.f64 y y))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 z y) z (.f64 y y))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 z y) z (.f64 y y))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 z y) z (.f64 y y))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 z y) z (.f64 y y))))))))
(+.f64 (/.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 z y) z (.f64 y y))) (pow.f64 (fma.f64 (-.f64 z y) z (.f64 y y)) #s(literal 2 binary64))) (/.f64 (.f64 (fma.f64 (-.f64 z y) z (.f64 y y)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 z y) z (.f64 y y)) #s(literal 2 binary64))))
(+.f64 (/.f64 (pow.f64 z #s(literal 9 binary64)) (.f64 (-.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (pow.f64 (.f64 z y) #s(literal 3 binary64))) (fma.f64 (-.f64 z y) z (.f64 y y)))) (/.f64 (pow.f64 y #s(literal 9 binary64)) (.f64 (-.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (pow.f64 (.f64 z y) #s(literal 3 binary64))) (fma.f64 (-.f64 z y) z (.f64 y y)))))
(+.f64 (/.f64 (pow.f64 y #s(literal 9 binary64)) (.f64 (-.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (pow.f64 (.f64 z y) #s(literal 3 binary64))) (fma.f64 (-.f64 z y) z (.f64 y y)))) (/.f64 (pow.f64 z #s(literal 9 binary64)) (.f64 (-.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (pow.f64 (.f64 z y) #s(literal 3 binary64))) (fma.f64 (-.f64 z y) z (.f64 y y)))))
(+.f64 (/.f64 (.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 z y) z (.f64 y y))) (fma.f64 (-.f64 z y) z (.f64 y y))) (fma.f64 (-.f64 z y) z (.f64 y y))) (/.f64 (.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 z y) z (.f64 y y))) (fma.f64 (-.f64 z y) z (.f64 y y))) (fma.f64 (-.f64 z y) z (.f64 y y))))
(+.f64 (/.f64 (.f64 (fma.f64 (-.f64 z y) z (.f64 y y)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 z y) z (.f64 y y)))) (fma.f64 (-.f64 z y) z (.f64 y y))) (/.f64 (.f64 (fma.f64 (-.f64 z y) z (.f64 y y)) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 z y) z (.f64 y y)))) (fma.f64 (-.f64 z y) z (.f64 y y))))
(+.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 9 binary64)) (-.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (pow.f64 (.f64 z y) #s(literal 3 binary64)))) (fma.f64 (-.f64 z y) z (.f64 y y))) (/.f64 (/.f64 (pow.f64 z #s(literal 9 binary64)) (-.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (pow.f64 (.f64 z y) #s(literal 3 binary64)))) (fma.f64 (-.f64 z y) z (.f64 y y))))
(+.f64 (/.f64 (.f64 y (fma.f64 (-.f64 z y) z (.f64 y y))) (fma.f64 (-.f64 z y) z (.f64 y y))) (/.f64 (.f64 (fma.f64 (-.f64 z y) z (.f64 y y)) z) (fma.f64 (-.f64 z y) z (.f64 y y))))
(+.f64 (/.f64 (.f64 (fma.f64 (-.f64 z y) z (.f64 y y)) y) (fma.f64 (-.f64 z y) z (.f64 y y))) (/.f64 (.f64 (fma.f64 (-.f64 z y) z (.f64 y y)) z) (fma.f64 (-.f64 z y) z (.f64 y y))))
(+.f64 (/.f64 (.f64 (fma.f64 (-.f64 z y) z (.f64 y y)) z) (fma.f64 (-.f64 z y) z (.f64 y y))) (/.f64 (.f64 y (fma.f64 (-.f64 z y) z (.f64 y y))) (fma.f64 (-.f64 z y) z (.f64 y y))))
(+.f64 (/.f64 (.f64 (fma.f64 (-.f64 z y) z (.f64 y y)) z) (fma.f64 (-.f64 z y) z (.f64 y y))) (/.f64 (.f64 (fma.f64 (-.f64 z y) z (.f64 y y)) y) (fma.f64 (-.f64 z y) z (.f64 y y))))
(+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (fma.f64 z z (.f64 y y)) (-.f64 z y))) (/.f64 (.f64 (.f64 (neg.f64 z) z) (.f64 z z)) (.f64 (fma.f64 z z (*.f64 y y)) (-.f64 z y))))
(+.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (.f64 (fma.f64 (.f64 z z) (fma.f64 z z (.f64 y y)) (pow.f64 y #s(literal 4 binary64))) (-.f64 z y))) (/.f64 (pow.f64 z #s(literal 6 binary64)) (.f64 (fma.f64 (.f64 z z) (fma.f64 z z (.f64 y y)) (pow.f64 y #s(literal 4 binary64))) (-.f64 z y))))
(+.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (-.f64 z y) z (.f64 y y)))) (/.f64 (pow.f64 z #s(literal 6 binary64)) (.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (-.f64 z y) z (.f64 y y)))))
(+.f64 (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 z y) z (.f64 y y)))) (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 z y) z (.f64 y y)))))
(+.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 z y) z (.f64 y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 z y) z (.f64 y y))))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 z y) z (.f64 y y))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 z y) z (.f64 y y))))
(+.f64 (.f64 z (/.f64 z (-.f64 z y))) (/.f64 (.f64 (neg.f64 (neg.f64 y)) (neg.f64 y)) (-.f64 z y)))
(+.f64 (.f64 z (/.f64 z (-.f64 z y))) (/.f64 (.f64 (neg.f64 y) y) (-.f64 z y)))
(+.f64 (.f64 z (/.f64 z (-.f64 z y))) (/.f64 (.f64 y (neg.f64 y)) (-.f64 z y)))
(+.f64 (.f64 z (/.f64 z (-.f64 z y))) (.f64 y (/.f64 y (-.f64 z y))))
(+.f64 (.f64 y (/.f64 y (-.f64 z y))) (.f64 z (/.f64 z (-.f64 z y))))
(+.f64 (neg.f64 y) (neg.f64 z))
(+.f64 (neg.f64 z) (neg.f64 y))
(+.f64 z y)
(+.f64 y z)

eval57.0ms (0.9%)

Memory: 26.8MiB live, 71.5MiB allocated
Compiler: Compiled 12 886 to 1 526 computations (88.2% saved)

prune11.0ms (0.2%)

Memory

-18.1MiB live, 26.9MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	410	7	417
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	411	7	418

Accuracy

100.0%

Counts

418 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.5%	(/.f64 (fma.f64 (.f64 z x) z (.f64 z (.f64 y x))) (.f64 z z))
	52.8%	(/.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)))
	44.8%	(/.f64 (.f64 (.f64 (+.f64 z y) x) (.f64 x (-.f64 z y))) (.f64 (*.f64 x (-.f64 z y)) z))
▶	40.1%	(/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z)
▶	46.4%	(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
▶	86.5%	(*.f64 (/.f64 x z) (+.f64 z y))
▶	96.2%	#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))

Compiler

Compiled 210 to 124 computations (41% saved)

simplify81.0ms (1.2%)

Memory

25.4MiB live, 78.3MiB 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 z y)
cost-diff	0	(/.f64 x z)
cost-diff	1	(*.f64 (/.f64 x z) (+.f64 z y))
cost-diff	0	(*.f64 z x)
cost-diff	0	#s(approx (* x (+ y z)) (*.f64 z x))
cost-diff	0	(/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z)
cost-diff	0	(*.f64 y x)
cost-diff	0	#s(approx (* x (+ y z)) (*.f64 y x))
cost-diff	0	(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
cost-diff	0	(/.f64 y z)
cost-diff	0	(fma.f64 (/.f64 y z) x x)
cost-diff	0	#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	134
0	37	125
1	77	122
2	208	121
3	844	121
4	3574	121
5	6949	121
6	7689	121
0	8019	121

Stop Event

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

Calls

Call 1

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

localize83.0ms (1.3%)

Memory

3.4MiB live, 50.0MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 y x)
accuracy	4.042949483743064	(fma.f64 (.f64 z x) z (.f64 z (*.f64 y x)))
accuracy	5.277195799542281	(.f64 z (.f64 y x))
accuracy	28.525634045294233	(/.f64 (fma.f64 (.f64 z x) z (.f64 z (.f64 y x))) (.f64 z z))
accuracy	0.0	(/.f64 x z)
accuracy	0.0	(+.f64 z y)
accuracy	8.645766093878477	(*.f64 (/.f64 x z) (+.f64 z y))
accuracy	0.0	(*.f64 z x)
accuracy	9.967952395144037	(/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z)
accuracy	29.00250857692446	#s(approx (* x (+ y z)) (*.f64 z x))
accuracy	0.0	(*.f64 y x)
accuracy	9.967952395144037	(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
accuracy	30.64547767737414	#s(approx (* x (+ y z)) (*.f64 y x))
accuracy	0.0	(/.f64 y z)
accuracy	0.0	#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))
accuracy	2.456533832898344	(fma.f64 (/.f64 y z) x x)

Samples

36.0ms

256×

valid

Compiler

Compiled 116 to 21 computations (81.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-mult: 12.0ms (52.2% of total)

ival-div: 6.0ms (26.1% of total)

ival-add: 5.0ms (21.7% of total)

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

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

series42.0ms (0.7%)

Memory

-8.7MiB live, 36.1MiB 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 #s(approx (* x (+ y z)) (*.f64 z x)) z)
#s(approx (* x (+ y z)) (*.f64 z x))
(*.f64 z x)
(*.f64 (/.f64 x z) (+.f64 z y))
(/.f64 x z)
(+.f64 z y)
(/.f64 (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 (.f64 y x))

Outputs
(/ (* x (+ y z)) z)
(* x (+ 1 (/ y z)))
(* x (+ y z))
(* x y)
(* x z)
(/ x z)
(/ (* x (+ (* y z) (pow z 2))) (pow z 2))
(* x (+ (* y z) (pow z 2)))
(* 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)))
(/ (* x y) z)
(* 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
20.0ms	x	@	0	((/ (* x (+ y z)) z) (+ (* (/ y z) x) x) (/ y z) (/ (* x (+ y z)) z) (* x (+ y z)) (* y x) (/ (* x (+ y z)) z) (* x (+ y z)) (* z x) (* (/ x z) (+ z y)) (/ x z) (+ z y) (/ (+ (* (* z x) z) (* z (* y x))) (* z z)) (+ (* (* z x) z) (* z (* y 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 (+ y z)) z) (* x (+ y z)) (* z x) (* (/ x z) (+ z y)) (/ x z) (+ z y) (/ (+ (* (* z x) z) (* z (* y x))) (* z z)) (+ (* (* z x) z) (* z (* y x))) (* z (* y x)))
4.0ms	x	@	-inf	((/ (* x (+ y z)) z) (+ (* (/ y z) x) x) (/ y z) (/ (* x (+ y z)) z) (* x (+ y z)) (* y x) (/ (* x (+ y z)) z) (* x (+ y z)) (* z x) (* (/ x z) (+ z y)) (/ x z) (+ z y) (/ (+ (* (* z x) z) (* z (* y x))) (* z z)) (+ (* (* z x) z) (* z (* y 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 (+ y z)) z) (* x (+ y z)) (* z x) (* (/ x z) (+ z y)) (/ x z) (+ z y) (/ (+ (* (* z x) z) (* z (* y x))) (* z z)) (+ (* (* z x) z) (* z (* y x))) (* z (* y x)))
2.0ms	z	@	-inf	((/ (* x (+ y z)) z) (+ (* (/ y z) x) x) (/ y z) (/ (* x (+ y z)) z) (* x (+ y z)) (* y x) (/ (* x (+ y z)) z) (* x (+ y z)) (* z x) (* (/ x z) (+ z y)) (/ x z) (+ z y) (/ (+ (* (* z x) z) (* z (* y x))) (* z z)) (+ (* (* z x) z) (* z (* y x))) (* z (* y x)))

simplify178.0ms (2.7%)

Memory

7.4MiB live, 152.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	207
1	302	193
2	973	193
3	3793	193
4	6584	193
0	8284	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 z)
(/ (* x (+ (* y z) (pow z 2))) (pow z 2))
(* x (+ (* y z) (pow z 2)))
(* 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)))
(/ (* x y) z)
(* 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 z x)
(/ x z)
(/.f64 x z)
(/ (* 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 (* y z))
(.f64 (.f64 z 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)
(* -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 z) x)
(+ (* x (* y z)) (* x (pow z 2)))
(.f64 (.f64 (+.f64 z y) z) x)
(/ (* x y) z)
(*.f64 (/.f64 x z) y)
(* 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)

rewrite284.0ms (4.4%)

Memory

-28.2MiB live, 206.7MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	111
0	37	102
1	135	99
2	957	98
0	8916	98

Stop Event

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

Counts

15 → 940

Calls

Call 1

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

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

eval46.0ms (0.7%)

Memory: 42.1MiB live, 88.1MiB allocated
Compiler: Compiled 13 043 to 1 491 computations (88.6% saved)

prune28.0ms (0.4%)

Memory

-22.5MiB live, 30.9MiB allocated

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	435	5	440
Fresh	2	0	2
Picked	2	3	5
Done	0	0	0
Total	439	8	447

Accuracy

100.0%

Counts

447 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.5%	(/.f64 (.f64 (.f64 z (+.f64 z y)) x) (*.f64 z z))
✓	40.1%	(/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z)
✓	46.4%	(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
▶	93.5%	#s(approx (/ (+ (* (* z x) z) (* z (* y x))) (* z z)) (fma.f64 (/.f64 x z) y x))
✓	96.2%	#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))
▶	49.5%	#s(approx (/ (* x (+ y z)) z) (/.f64 (.f64 (.f64 (/.f64 x z) (-.f64 z y)) (fma.f64 (/.f64 y z) x x)) (*.f64 (/.f64 x z) (-.f64 z y))))
▶	47.1%	#s(approx (/ (* x (+ y z)) z) (*.f64 (/.f64 x z) y))
▶	76.9%	#s(approx (/ (* x (+ y z)) z) (.f64 z (fma.f64 (/.f64 x z) (/.f64 y z) (.f64 #s(literal 1 binary64) (/.f64 x z)))))

Compiler

Compiled 232 to 139 computations (40.1% saved)

simplify131.0ms (2%)

Memory

2.1MiB live, 142.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (/.f64 x z) (-.f64 z y))
cost-diff	0	(.f64 (.f64 (/.f64 x z) (-.f64 z y)) (fma.f64 (/.f64 y z) x x))
cost-diff	0	#s(approx (/ (* x (+ y z)) z) (/.f64 (.f64 (.f64 (/.f64 x z) (-.f64 z y)) (fma.f64 (/.f64 y z) x x)) (*.f64 (/.f64 x z) (-.f64 z y))))
cost-diff	16	(/.f64 (.f64 (.f64 (/.f64 x z) (-.f64 z y)) (fma.f64 (/.f64 y z) x x)) (*.f64 (/.f64 x z) (-.f64 z y)))
cost-diff	0	#s(approx (/ (* x (+ y z)) z) (.f64 z (fma.f64 (/.f64 x z) (/.f64 y z) (.f64 #s(literal 1 binary64) (/.f64 x z)))))
cost-diff	2	(*.f64 #s(literal 1 binary64) (/.f64 x z))
cost-diff	2	(fma.f64 (/.f64 x z) (/.f64 y z) (*.f64 #s(literal 1 binary64) (/.f64 x z)))
cost-diff	4	(.f64 z (fma.f64 (/.f64 x z) (/.f64 y z) (.f64 #s(literal 1 binary64) (/.f64 x z))))
cost-diff	0	(+.f64 z y)
cost-diff	0	(*.f64 z (+.f64 z y))
cost-diff	0	(.f64 (.f64 z (+.f64 z y)) x)
cost-diff	5	(/.f64 (.f64 (.f64 z (+.f64 z y)) x) (*.f64 z z))
cost-diff	0	(/.f64 x z)
cost-diff	0	(*.f64 (/.f64 x z) y)
cost-diff	0	#s(approx (/ (* x (+ y z)) z) (*.f64 (/.f64 x z) y))
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))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	35	244
0	54	203
1	147	189
2	574	173
3	3714	173
0	8418	173

Stop Event

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

Calls

Call 1

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

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

localize175.0ms (2.7%)

Memory

33.4MiB live, 162.6MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.08984375	(.f64 (.f64 (/.f64 x z) (-.f64 z y)) (fma.f64 (/.f64 y z) x x))
accuracy	2.456533832898344	(fma.f64 (/.f64 y z) x x)
accuracy	8.665295897986555	(*.f64 (/.f64 x z) (-.f64 z y))
accuracy	27.741736618449323	(/.f64 (.f64 (.f64 (/.f64 x z) (-.f64 z y)) (fma.f64 (/.f64 y z) x x)) (*.f64 (/.f64 x z) (-.f64 z y)))
accuracy	0.0	(*.f64 #s(literal 1 binary64) (/.f64 x z))
accuracy	0.0	#s(approx (/ (* x (+ y z)) z) (.f64 z (fma.f64 (/.f64 x z) (/.f64 y z) (.f64 #s(literal 1 binary64) (/.f64 x z)))))
accuracy	4.1666128169818055	(fma.f64 (/.f64 x z) (/.f64 y z) (*.f64 #s(literal 1 binary64) (/.f64 x z)))
accuracy	11.392082999780026	(.f64 z (fma.f64 (/.f64 x z) (/.f64 y z) (.f64 #s(literal 1 binary64) (/.f64 x z))))
accuracy	0.0	(*.f64 z z)
accuracy	0.015625	(*.f64 z (+.f64 z y))
accuracy	4.8388426817655095	(.f64 (.f64 z (+.f64 z y)) x)
accuracy	28.525634045294233	(/.f64 (.f64 (.f64 z (+.f64 z y)) x) (*.f64 z z))
accuracy	0.0	(/.f64 x z)
accuracy	4.928351862453874	(*.f64 (/.f64 x z) y)
accuracy	32.021791719584435	#s(approx (/ (* x (+ y z)) z) (*.f64 (/.f64 x z) y))
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	4.128267333676336	(fma.f64 (/.f64 x z) y x)

Samples

155.0ms

256×

valid

Compiler

Compiled 201 to 34 computations (83.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 139.0ms

ival-mult: 59.0ms (42.5% of total)

ival-div: 42.0ms (30.3% of total)

ival-add: 36.0ms (26% of total)

ival-sub: 1.0ms (0.7% of total)

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

exact: 0.0ms (0% of total)

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

series60.0ms (0.9%)

Memory

-1.4MiB live, 43.1MiB allocated

Counts

19 → 67

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
26.0ms	x	@	0	((/ (+ (* (* z x) z) (* z (* y x))) (* z z)) (+ (* (/ x z) y) x) (/ x z) (/ (* x (+ y z)) z) (* (/ x z) y) (/ (* (* z (+ z y)) x) (* z z)) (* (* z (+ z y)) x) (* z (+ z y)) (+ z y) (* z (+ (* (/ x z) (/ y z)) (* 1 (/ x z)))) (+ (* (/ x z) (/ y z)) (* 1 (/ x z))) (* 1 (/ x z)) (/ (* x (+ y z)) z) (/ (* (* (/ x z) (- z y)) (+ (* (/ y z) x) x)) (* (/ x z) (- z y))) (/ (* x (+ y z)) z) (* (* (/ x z) (- z y)) (+ (* (/ y z) x) x)) (* (/ x z) (- z y)) (* z z) (+ (* (/ y z) x) x))
9.0ms	z	@	-inf	((/ (+ (* (* z x) z) (* z (* y x))) (* z z)) (+ (* (/ x z) y) x) (/ x z) (/ (* x (+ y z)) z) (* (/ x z) y) (/ (* (* z (+ z y)) x) (* z z)) (* (* z (+ z y)) x) (* z (+ z y)) (+ z y) (* z (+ (* (/ x z) (/ y z)) (* 1 (/ x z)))) (+ (* (/ x z) (/ y z)) (* 1 (/ x z))) (* 1 (/ x z)) (/ (* x (+ y z)) z) (/ (* (* (/ x z) (- z y)) (+ (* (/ y z) x) x)) (* (/ x z) (- z y))) (/ (* x (+ y z)) z) (* (* (/ x z) (- z y)) (+ (* (/ y z) x) x)) (* (/ x z) (- z y)) (* z z) (+ (* (/ y z) x) x))
5.0ms	x	@	-inf	((/ (+ (* (* z x) z) (* z (* y x))) (* z z)) (+ (* (/ x z) y) x) (/ x z) (/ (* x (+ y z)) z) (* (/ x z) y) (/ (* (* z (+ z y)) x) (* z z)) (* (* z (+ z y)) x) (* z (+ z y)) (+ z y) (* z (+ (* (/ x z) (/ y z)) (* 1 (/ x z)))) (+ (* (/ x z) (/ y z)) (* 1 (/ x z))) (* 1 (/ x z)) (/ (* x (+ y z)) z) (/ (* (* (/ x z) (- z y)) (+ (* (/ y z) x) x)) (* (/ x z) (- z y))) (/ (* x (+ y z)) z) (* (* (/ x z) (- z y)) (+ (* (/ y z) x) x)) (* (/ x z) (- z y)) (* z z) (+ (* (/ y z) x) x))
3.0ms	x	@	inf	((/ (+ (* (* z x) z) (* z (* y x))) (* z z)) (+ (* (/ x z) y) x) (/ x z) (/ (* x (+ y z)) z) (* (/ x z) y) (/ (* (* z (+ z y)) x) (* z z)) (* (* z (+ z y)) x) (* z (+ z y)) (+ z y) (* z (+ (* (/ x z) (/ y z)) (* 1 (/ x z)))) (+ (* (/ x z) (/ y z)) (* 1 (/ x z))) (* 1 (/ x z)) (/ (* x (+ y z)) z) (/ (* (* (/ x z) (- z y)) (+ (* (/ y z) x) x)) (* (/ x z) (- z y))) (/ (* x (+ y z)) z) (* (* (/ x z) (- z y)) (+ (* (/ y z) x) x)) (* (/ x z) (- z y)) (* z z) (+ (* (/ y z) x) x))
3.0ms	y	@	-inf	((/ (+ (* (* z x) z) (* z (* y x))) (* z z)) (+ (* (/ x z) y) x) (/ x z) (/ (* x (+ y z)) z) (* (/ x z) y) (/ (* (* z (+ z y)) x) (* z z)) (* (* z (+ z y)) x) (* z (+ z y)) (+ z y) (* z (+ (* (/ x z) (/ y z)) (* 1 (/ x z)))) (+ (* (/ x z) (/ y z)) (* 1 (/ x z))) (* 1 (/ x z)) (/ (* x (+ y z)) z) (/ (* (* (/ x z) (- z y)) (+ (* (/ y z) x) x)) (* (/ x z) (- z y))) (/ (* x (+ y z)) z) (* (* (/ x z) (- z y)) (+ (* (/ y z) x) x)) (* (/ x z) (- z y)) (* z z) (+ (* (/ y z) x) x))

simplify189.0ms (2.9%)

Memory

-19.3MiB live, 86.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	185	622
1	683	572
2	2613	534
0	8527	516

Stop Event

1×	iter limit
1×	node limit

Counts

67 → 64

Calls

Call 1

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

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

rewrite252.0ms (3.9%)

Memory

-18.4MiB live, 124.3MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	35	210
0	54	202
1	241	192
2	1867	184
0	9016	184

Stop Event

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

Counts

19 → 1 021

Calls

Call 1

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

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

eval169.0ms (2.6%)

Memory: 36.3MiB live, 124.9MiB allocated
Compiler: Compiled 33 900 to 4 009 computations (88.2% saved)

prune34.0ms (0.5%)

Memory

4.2MiB live, 47.5MiB allocated

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	1 104	4	1 108
Fresh	0	0	0
Picked	3	2	5
Done	0	3	3
Total	1 107	9	1 116

Accuracy

100.0%

Counts

1 116 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	32.8%	(/.f64 (.f64 #s(approx ( z (+ z y)) (.f64 y z)) x) (.f64 z z))
✓	40.1%	(/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z)
✓	46.4%	(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
✓	93.5%	#s(approx (/ (+ (* (* z x) z) (* z (* y x))) (* z z)) (fma.f64 (/.f64 x z) y x))
✓	96.2%	#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))
▶	21.4%	#s(approx (/ (* x (+ y z)) z) (/.f64 (.f64 (.f64 (/.f64 x z) (-.f64 z y)) (fma.f64 (/.f64 y z) x x)) #s(approx (* (/ x z) (- z y)) (*.f64 (neg.f64 y) (/.f64 x z)))))
▶	46.1%	#s(approx (/ (* x (+ y z)) z) (*.f64 (/.f64 y z) x))
✓	47.1%	#s(approx (/ (* x (+ y z)) z) (*.f64 (/.f64 x z) y))
▶	36.7%	#s(approx (/ (* x (+ y z)) z) (.f64 z #s(approx (+ ( (/ x z) (/ y z)) (* 1 (/ x z))) (*.f64 (/.f64 (/.f64 y z) z) x))))

Compiler

Compiled 167 to 104 computations (37.7% saved)

simplify151.0ms (2.3%)

Memory

-33.3MiB live, 69.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

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

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	39	288
0	56	282
1	125	273
2	373	270
3	1261	270
4	3704	267
0	8294	267

Stop Event

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

Calls

Call 1

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

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

localize94.0ms (1.4%)

Memory

5.3MiB live, 96.5MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 y z)
accuracy	4.8388426817655095	(.f64 #s(approx ( z (+ z y)) (*.f64 y z)) x)
accuracy	28.525634045294233	(/.f64 (.f64 #s(approx ( z (+ z y)) (.f64 y z)) x) (.f64 z z))
accuracy	29.099958412230652	#s(approx (* z (+ z y)) (*.f64 y z))
accuracy	4.928351862453874	(*.f64 (neg.f64 y) (/.f64 x z))
accuracy	8.665295897986555	(*.f64 (/.f64 x z) (-.f64 z y))
accuracy	27.741736618449323	(/.f64 (.f64 (.f64 (/.f64 x z) (-.f64 z y)) (fma.f64 (/.f64 y z) x x)) #s(approx (* (/ x z) (- z y)) (*.f64 (neg.f64 y) (/.f64 x z))))
accuracy	31.929288925313802	#s(approx (* (/ x z) (- z y)) (*.f64 (neg.f64 y) (/.f64 x z)))
accuracy	0.0	(/.f64 y z)
accuracy	4.376397646255918	(*.f64 (/.f64 y z) x)
accuracy	32.021791719584435	#s(approx (/ (* x (+ y z)) z) (*.f64 (/.f64 y z) x))
accuracy	0.12890625	(/.f64 (/.f64 y z) z)
accuracy	6.149020315990012	(*.f64 (/.f64 (/.f64 y z) z) x)
accuracy	11.392082999780026	(.f64 z #s(approx (+ ( (/ x z) (/ y z)) (* 1 (/ x z))) (*.f64 (/.f64 (/.f64 y z) z) x)))
accuracy	26.370877279626207	#s(approx (+ (* (/ x z) (/ y z)) (* 1 (/ x z))) (*.f64 (/.f64 (/.f64 y z) z) x))

Samples

61.0ms

256×

valid

Compiler

Compiled 191 to 31 computations (83.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-mult: 18.0ms (51.3% of total)

ival-div: 9.0ms (25.7% of total)

ival-add: 5.0ms (14.3% of total)

ival-sub: 1.0ms (2.9% of total)

ival-neg: 1.0ms (2.9% of total)

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

exact: 0.0ms (0% of total)

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

series56.0ms (0.9%)

Memory

4.6MiB live, 54.0MiB allocated

Counts

18 → 60

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
23.0ms	z	@	inf	((/ (* x (+ y z)) z) (* z (+ (* (/ x z) (/ y z)) (* 1 (/ x z)))) (+ (* (/ x z) (/ y z)) (* 1 (/ x z))) (* (/ (/ y z) z) x) (/ (* x (+ y z)) z) (* (/ y z) x) (/ y z) (* (* (/ x z) (- z y)) (+ (* (/ y z) x) x)) (/ (* x (+ y z)) z) (/ (* (* (/ x z) (- z y)) (+ (* (/ y z) x) x)) (* (/ x z) (- z y))) (* (/ x z) (- z y)) (/ (* (* z (+ z y)) x) (* z z)) (* (* z (+ z y)) x) (* z (+ z y)) (* y z) (/ (/ y z) z) (* (/ x z) (- z y)) (* (neg y) (/ x z)))
3.0ms	x	@	-inf	((/ (* x (+ y z)) z) (* z (+ (* (/ x z) (/ y z)) (* 1 (/ x z)))) (+ (* (/ x z) (/ y z)) (* 1 (/ x z))) (* (/ (/ y z) z) x) (/ (* x (+ y z)) z) (* (/ y z) x) (/ y z) (* (* (/ x z) (- z y)) (+ (* (/ y z) x) x)) (/ (* x (+ y z)) z) (/ (* (* (/ x z) (- z y)) (+ (* (/ y z) x) x)) (* (/ x z) (- z y))) (* (/ x z) (- z y)) (/ (* (* z (+ z y)) x) (* z z)) (* (* z (+ z y)) x) (* z (+ z y)) (* y z) (/ (/ y z) z) (* (/ x z) (- z y)) (* (neg y) (/ x z)))
3.0ms	x	@	0	((/ (* x (+ y z)) z) (* z (+ (* (/ x z) (/ y z)) (* 1 (/ x z)))) (+ (* (/ x z) (/ y z)) (* 1 (/ x z))) (* (/ (/ y z) z) x) (/ (* x (+ y z)) z) (* (/ y z) x) (/ y z) (* (* (/ x z) (- z y)) (+ (* (/ y z) x) x)) (/ (* x (+ y z)) z) (/ (* (* (/ x z) (- z y)) (+ (* (/ y z) x) x)) (* (/ x z) (- z y))) (* (/ x z) (- z y)) (/ (* (* z (+ z y)) x) (* z z)) (* (* z (+ z y)) x) (* z (+ z y)) (* y z) (/ (/ y z) z) (* (/ x z) (- z y)) (* (neg y) (/ x z)))
3.0ms	y	@	-inf	((/ (* x (+ y z)) z) (* z (+ (* (/ x z) (/ y z)) (* 1 (/ x z)))) (+ (* (/ x z) (/ y z)) (* 1 (/ x z))) (* (/ (/ y z) z) x) (/ (* x (+ y z)) z) (* (/ y z) x) (/ y z) (* (* (/ x z) (- z y)) (+ (* (/ y z) x) x)) (/ (* x (+ y z)) z) (/ (* (* (/ x z) (- z y)) (+ (* (/ y z) x) x)) (* (/ x z) (- z y))) (* (/ x z) (- z y)) (/ (* (* z (+ z y)) x) (* z z)) (* (* z (+ z y)) x) (* z (+ z y)) (* y z) (/ (/ y z) z) (* (/ x z) (- z y)) (* (neg y) (/ x z)))
3.0ms	z	@	-inf	((/ (* x (+ y z)) z) (* z (+ (* (/ x z) (/ y z)) (* 1 (/ x z)))) (+ (* (/ x z) (/ y z)) (* 1 (/ x z))) (* (/ (/ y z) z) x) (/ (* x (+ y z)) z) (* (/ y z) x) (/ y z) (* (* (/ x z) (- z y)) (+ (* (/ y z) x) x)) (/ (* x (+ y z)) z) (/ (* (* (/ x z) (- z y)) (+ (* (/ y z) x) x)) (* (/ x z) (- z y))) (* (/ x z) (- z y)) (/ (* (* z (+ z y)) x) (* z z)) (* (* z (+ z y)) x) (* z (+ z y)) (* y z) (/ (/ y z) z) (* (/ x z) (- z y)) (* (neg y) (/ x z)))

simplify163.0ms (2.5%)

Memory

31.7MiB live, 120.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	167	609
1	615	557
2	2420	524
0	8673	503

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 59

Calls

Call 1

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

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

rewrite228.0ms (3.5%)

Memory

-26.2MiB live, 167.4MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	39	253
0	56	247
1	195	238
2	1465	238
0	8114	238

Stop Event

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

Counts

18 → 305

Calls

Call 1

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

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

eval38.0ms (0.6%)

Memory: 20.0MiB live, 65.7MiB allocated
Compiler: Compiled 13 835 to 1 442 computations (89.6% saved)

prune33.0ms (0.5%)

Memory

-18.5MiB live, 37.5MiB allocated

Pruning

10 alts after pruning (2 fresh and 8 done)

	Pruned	Kept	Total
New	348	2	350
Fresh	0	0	0
Picked	1	3	4
Done	0	5	5
Total	349	10	359

Accuracy

100.0%

Counts

359 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	32.8%	(/.f64 (.f64 #s(approx ( z (+ z y)) (.f64 y z)) x) (.f64 z z))
✓	40.1%	(/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z)
✓	46.4%	(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
✓	93.5%	#s(approx (/ (+ (* (* z x) z) (* z (* y x))) (* z z)) (fma.f64 (/.f64 x z) y x))
✓	96.2%	#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))
	12.9%	#s(approx (/ (* x (+ y z)) z) (/.f64 #s(approx (* (* (/ x z) (- z y)) (+ (* (/ y z) x) x)) (.f64 (/.f64 (.f64 (neg.f64 y) y) z) (.f64 x (/.f64 x z)))) #s(approx ( (/ x z) (- z y)) (*.f64 (neg.f64 y) (/.f64 x z)))))
✓	46.1%	#s(approx (/ (* x (+ y z)) z) (*.f64 (/.f64 y z) x))
✓	47.1%	#s(approx (/ (* x (+ y z)) z) (*.f64 (/.f64 x z) y))
	43.5%	#s(approx (/ (* x (+ y z)) z) (.f64 z #s(approx (+ ( (/ x z) (/ y z)) (* 1 (/ x z))) (/.f64 x z))))
✓	36.7%	#s(approx (/ (* x (+ y z)) z) (.f64 z #s(approx (+ ( (/ x z) (/ y z)) (* 1 (/ x z))) (*.f64 (/.f64 (/.f64 y z) z) x))))

Compiler

Compiled 592 to 223 computations (62.3% saved)

regimes40.0ms (0.6%)

Memory

-9.1MiB live, 37.6MiB allocated

Counts

19 → 2

Calls

Call 1

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

Outputs
#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))

Calls

4 calls:

22.0ms	y
6.0ms	x
6.0ms	z
6.0ms	(/.f64 (*.f64 x (+.f64 y z)) z)

Results

Accuracy	Segments	Branch
97.9%	2	`x`
98.4%	2	`y`
96.2%	1	`z`
96.2%	1	`(/.f64 (*.f64 x (+.f64 y z)) z)`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes5.0ms (0.1%)

Memory

10.0MiB live, 10.0MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
96.2%	1	`x`
96.2%	1	`y`

Compiler

Compiled 2 to 6 computations (-200% saved)

regimes9.0ms (0.1%)

Memory

17.0MiB live, 17.0MiB allocated

Counts

5 → 3

Calls

Call 1

Inputs
#s(approx (/ (* x (+ y z)) z) (.f64 z #s(approx (+ ( (/ x z) (/ y z)) (* 1 (/ x z))) (/.f64 x z))))
#s(approx (/ (* x (+ y z)) z) (*.f64 (/.f64 x z) y))
#s(approx (/ (* x (+ y z)) z) (*.f64 (/.f64 y z) x))
(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
(/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z)

Outputs
#s(approx (/ (* x (+ y z)) z) (*.f64 (/.f64 y z) x))
(/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z)
#s(approx (/ (* x (+ y z)) z) (.f64 z #s(approx (+ ( (/ x z) (/ y z)) (* 1 (/ x z))) (/.f64 x z))))

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
66.3%	3	`z`
73.7%	3	`(/.f64 (*.f64 x (+.f64 y z)) z)`
58.3%	4	`x`
70.0%	3	`y`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes7.0ms (0.1%)

Memory

-39.0MiB live, 8.0MiB allocated

Counts

4 → 3

Calls

Call 1

Inputs
#s(approx (/ (* x (+ y z)) z) (.f64 z #s(approx (+ ( (/ x z) (/ y z)) (* 1 (/ x z))) (/.f64 x z))))
#s(approx (/ (* x (+ y z)) z) (*.f64 (/.f64 x z) y))
#s(approx (/ (* x (+ y z)) z) (*.f64 (/.f64 y z) x))
(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)

Outputs
(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
#s(approx (/ (* x (+ y z)) z) (.f64 z #s(approx (+ ( (/ x z) (/ y z)) (* 1 (/ x z))) (/.f64 x z))))
#s(approx (/ (* x (+ y z)) z) (*.f64 (/.f64 x z) y))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
70.0%	3	`y`
63.8%	2	`(/.f64 (*.f64 x (+.f64 y z)) z)`

Compiler

Compiled 8 to 9 computations (-12.5% saved)

regimes2.0ms (0%)

Memory

4.0MiB live, 4.0MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs

#s(approx (/ (* x (+ y z)) z) (*.f64 z #s(approx (+ (* (/ x z) (/ y z)) (* 1 (/ x z))) (/.f64 x z))))

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

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

Outputs

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

#s(approx (/ (* x (+ y z)) z) (*.f64 z #s(approx (+ (* (/ x z) (/ y z)) (* 1 (/ x z))) (/.f64 x z))))

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
69.7%	3	`y`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes2.0ms (0%)

Memory

3.2MiB live, 3.2MiB allocated

Counts

2 → 3

Calls

Call 1

Inputs
#s(approx (/ (* x (+ y z)) z) (.f64 z #s(approx (+ ( (/ x z) (/ y z)) (* 1 (/ x z))) (/.f64 x z))))
#s(approx (/ (* x (+ y z)) z) (*.f64 (/.f64 x z) y))

Outputs

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

#s(approx (/ (* x (+ y z)) z) (*.f64 z #s(approx (+ (* (/ x z) (/ y z)) (* 1 (/ x z))) (/.f64 x z))))

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

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
69.5%	3	`y`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes5.0ms (0.1%)

Memory

10.7MiB live, 10.7MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (/ (* x (+ y z)) z) (.f64 z #s(approx (+ ( (/ x z) (/ y z)) (* 1 (/ x z))) (/.f64 x z))))

Outputs
#s(approx (/ (* x (+ y z)) z) (.f64 z #s(approx (+ ( (/ x z) (/ y z)) (* 1 (/ x z))) (/.f64 x z))))

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
43.5%	1	`x`
43.5%	1	`(/.f64 (*.f64 x (+.f64 y z)) z)`
43.5%	1	`z`
43.5%	1	`y`

Compiler

Compiled 10 to 15 computations (-50% saved)

bsearch6.0ms (0.1%)

Memory

7.4MiB live, 7.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
5.0ms	5.067230999720093e-85	1.5957879536217122e-77

Samples

3.0ms

64×

valid

Compiler

Compiled 154 to 108 computations (29.9% saved)

Precisions

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

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

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

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

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

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

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.5755111849894751e+296	3.2640686938553985e+302
0.0ms	0.0	2.6046200785890617e-306

Compiler

Compiled 10 to 12 computations (-20% saved)

bsearch34.0ms (0.5%)

Memory

-19.8MiB live, 26.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
24.0ms	7.058455097839286e+48	3.6230268096217947e+56
8.0ms	-2.0373461769627063e-78	-3.973631732068522e-79

Samples

10.0ms

240×

valid

Compiler

Compiled 598 to 411 computations (31.3% saved)

Precisions

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

ival-div: 2.0ms (40.6% of total)

ival-add: 2.0ms (40.6% of total)

ival-mult: 2.0ms (40.6% of total)

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

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

bsearch15.0ms (0.2%)

Memory

19.1MiB live, 19.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	7.058455097839286e+48	3.6230268096217947e+56
13.0ms	-2.1688660457816408e-125	-1.6513096135978086e-136

Samples

7.0ms

160×

valid

Compiler

Compiled 770 to 525 computations (31.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-div: 1.0ms (31.4% of total)

ival-add: 1.0ms (31.4% of total)

ival-mult: 1.0ms (31.4% of total)

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

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

bsearch5.0ms (0.1%)

Memory

9.4MiB live, 9.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	7.058455097839286e+48	3.6230268096217947e+56
3.0ms	-2.1688660457816408e-125	-1.6513096135978086e-136

Samples

1.0ms

32×

valid

Compiler

Compiled 770 to 525 computations (31.8% saved)

Precisions

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

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

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

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

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

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

simplify51.0ms (0.8%)

Memory

-20.0MiB live, 76.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	62	311
1	104	297
2	279	293
3	1157	293
4	4962	293

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 y #s(literal 8343699359066055/4171849679533027504677776769862406473833407270227837441302815640277772901915313574263597826048 binary64)) #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) (fma.f64 (/.f64 y z) x x))
(if (<=.f64 (/.f64 (.f64 x (+.f64 y z)) z) #s(literal 0 binary64)) #s(approx (/ ( x (+ y z)) z) (.f64 (/.f64 y z) x)) (if (<=.f64 (/.f64 (.f64 x (+.f64 y z)) z) #s(literal 199999999999999996269735544124600831556311214396411626601969674408936957665590016797685954535657091614747253940080451631455405873740898718200310579203360989977744144478804093683977925289126793169757759029691600098055170422008289289819679252263816717724865805208494558491410210602827611676900065280 binary64)) (/.f64 #s(approx (* x (+ y z)) (.f64 z x)) z) #s(approx (/ ( x (+ y z)) z) (.f64 z #s(approx (+ ( (/ x z) (/ y z)) (* 1 (/ x z))) (/.f64 x z))))))
(if (<=.f64 y #s(literal -8343699359066055/4171849679533027504677776769862406473833407270227837441302815640277772901915313574263597826048 binary64)) (/.f64 #s(approx (* x (+ y z)) (.f64 y x)) z) (if (<=.f64 y #s(literal 7800000000000000179738298922380975974567561396224 binary64)) #s(approx (/ ( x (+ y z)) z) (.f64 z #s(approx (+ ( (/ x z) (/ y z)) (* 1 (/ x z))) (/.f64 x z)))) #s(approx (/ (* x (+ y z)) z) (*.f64 (/.f64 x z) y))))
(if (<=.f64 y #s(literal -3048582568667961/762145642166990290864647761179972242614403843424065222377723867096038022172794340849684107193235344521442121855812163792833978437326241529856 binary64)) #s(approx (/ (* x (+ y z)) z) (.f64 (/.f64 y z) x)) (if (<=.f64 y #s(literal 7800000000000000179738298922380975974567561396224 binary64)) #s(approx (/ ( x (+ y z)) z) (.f64 z #s(approx (+ ( (/ x z) (/ y z)) (* 1 (/ x z))) (/.f64 x z)))) #s(approx (/ (* x (+ y z)) z) (*.f64 (/.f64 x z) y))))
(if (<=.f64 y #s(literal -6859310779502913/1524291284333980581729295522359944485228807686848130444755447734192076044345588681699368214386470689042884243711624327585667956874652483059712 binary64)) #s(approx (/ (* x (+ y z)) z) (.f64 (/.f64 x z) y)) (if (<=.f64 y #s(literal 7800000000000000179738298922380975974567561396224 binary64)) #s(approx (/ ( x (+ y z)) z) (.f64 z #s(approx (+ ( (/ x z) (/ y z)) (* 1 (/ x z))) (/.f64 x z)))) #s(approx (/ (* x (+ y z)) z) (*.f64 (/.f64 x z) y))))
#s(approx (/ (* x (+ y z)) z) (.f64 z #s(approx (+ ( (/ x z) (/ y z)) (* 1 (/ x z))) (/.f64 x z))))

Outputs
(if (<=.f64 y #s(literal 8343699359066055/4171849679533027504677776769862406473833407270227837441302815640277772901915313574263597826048 binary64)) #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)))
(if (<=.f64 y #s(literal 8343699359066055/4171849679533027504677776769862406473833407270227837441302815640277772901915313574263597826048 binary64)) #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)))
#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 (/ ( x (+ y z)) z) (.f64 (/.f64 y z) x)) (if (<=.f64 (/.f64 (.f64 x (+.f64 y z)) z) #s(literal 199999999999999996269735544124600831556311214396411626601969674408936957665590016797685954535657091614747253940080451631455405873740898718200310579203360989977744144478804093683977925289126793169757759029691600098055170422008289289819679252263816717724865805208494558491410210602827611676900065280 binary64)) (/.f64 #s(approx (* x (+ y z)) (.f64 z x)) z) #s(approx (/ ( x (+ y z)) z) (.f64 z #s(approx (+ ( (/ x z) (/ y z)) (* 1 (/ x z))) (/.f64 x z))))))
(if (<=.f64 y #s(literal -8343699359066055/4171849679533027504677776769862406473833407270227837441302815640277772901915313574263597826048 binary64)) (/.f64 #s(approx (* x (+ y z)) (.f64 y x)) z) (if (<=.f64 y #s(literal 7800000000000000179738298922380975974567561396224 binary64)) #s(approx (/ ( x (+ y z)) z) (.f64 z #s(approx (+ ( (/ x z) (/ y z)) (* 1 (/ x z))) (/.f64 x z)))) #s(approx (/ (* x (+ y z)) z) (*.f64 (/.f64 x z) y))))
(if (<=.f64 y #s(literal -3048582568667961/762145642166990290864647761179972242614403843424065222377723867096038022172794340849684107193235344521442121855812163792833978437326241529856 binary64)) #s(approx (/ (* x (+ y z)) z) (.f64 (/.f64 y z) x)) (if (<=.f64 y #s(literal 7800000000000000179738298922380975974567561396224 binary64)) #s(approx (/ ( x (+ y z)) z) (.f64 z #s(approx (+ ( (/ x z) (/ y z)) (* 1 (/ x z))) (/.f64 x z)))) #s(approx (/ (* x (+ y z)) z) (*.f64 (/.f64 x z) y))))
(if (<=.f64 y #s(literal -6859310779502913/1524291284333980581729295522359944485228807686848130444755447734192076044345588681699368214386470689042884243711624327585667956874652483059712 binary64)) #s(approx (/ (* x (+ y z)) z) (.f64 (/.f64 x z) y)) (if (<=.f64 y #s(literal 7800000000000000179738298922380975974567561396224 binary64)) #s(approx (/ ( x (+ y z)) z) (.f64 z #s(approx (+ ( (/ x z) (/ y z)) (* 1 (/ x z))) (/.f64 x z)))) #s(approx (/ (* x (+ y z)) z) (*.f64 (/.f64 x z) y))))
(if (or (<=.f64 y #s(literal -6859310779502913/1524291284333980581729295522359944485228807686848130444755447734192076044345588681699368214386470689042884243711624327585667956874652483059712 binary64)) (not (<=.f64 y #s(literal 7800000000000000179738298922380975974567561396224 binary64)))) #s(approx (/ (* x (+ y z)) z) (.f64 (/.f64 x z) y)) #s(approx (/ ( x (+ y z)) z) (.f64 z #s(approx (+ ( (/ x z) (/ y z)) (* 1 (/ x z))) (/.f64 x z)))))
#s(approx (/ (* x (+ y z)) z) (.f64 z #s(approx (+ ( (/ x z) (/ y z)) (* 1 (/ x z))) (/.f64 x z))))

soundness1.9s (28.6%)

Memory

37.8MiB live, 1 250.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	207
1	302	193
2	973	193
3	3793	193
4	6584	193
0	8284	184
0	167	609
1	615	557
2	2420	524
0	8673	503
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	6	15
0	9	15
1	35	15
2	223	15
3	1885	15
0	8701	15
0	185	622
1	683	572
2	2613	534
0	8527	516
0	22	111
0	37	102
1	135	99
2	957	98
0	8916	98
0	35	210
0	54	202
1	241	192
2	1867	184
0	9016	184

Stop Event

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

Compiler

Compiled 543 to 262 computations (51.7% saved)

preprocess81.0ms (1.2%)

Memory: 6.5MiB live, 160.7MiB allocated
Remove: (negabs x)
Compiler: Compiled 718 to 168 computations (76.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze57.0ms (0.9%)

sample913.0ms (14%)

explain60.0ms (0.9%)

preprocess210.0ms (3.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify209.0ms (3.2%)

localize19.0ms (0.3%)

series9.0ms (0.1%)

simplify166.0ms (2.5%)

rewrite178.0ms (2.7%)

eval57.0ms (0.9%)

prune11.0ms (0.2%)

simplify81.0ms (1.2%)

localize83.0ms (1.3%)

series42.0ms (0.7%)

simplify178.0ms (2.7%)

rewrite284.0ms (4.4%)

eval46.0ms (0.7%)

prune28.0ms (0.4%)

simplify131.0ms (2%)

localize175.0ms (2.7%)

series60.0ms (0.9%)

simplify189.0ms (2.9%)

rewrite252.0ms (3.9%)

eval169.0ms (2.6%)

prune34.0ms (0.5%)

simplify151.0ms (2.3%)

localize94.0ms (1.4%)

series56.0ms (0.9%)

simplify163.0ms (2.5%)

rewrite228.0ms (3.5%)

eval38.0ms (0.6%)

prune33.0ms (0.5%)

regimes40.0ms (0.6%)

regimes5.0ms (0.1%)

regimes9.0ms (0.1%)

regimes7.0ms (0.1%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes5.0ms (0.1%)

bsearch6.0ms (0.1%)

bsearch1.0ms (0%)

bsearch34.0ms (0.5%)

bsearch15.0ms (0.2%)

bsearch5.0ms (0.1%)

simplify51.0ms (0.8%)

soundness1.9s (28.6%)

preprocess81.0ms (1.2%)

end0.0ms (0%)

Profiling