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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze39.0ms (0.7%)

Memory

-2.6MiB live, 73.0MiB 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)

sample822.0ms (13.7%)

Memory

43.7MiB live, 1 109.6MiB allocated

Samples

559.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 278.0ms

ival-mult: 147.0ms (52.9% of total)

ival-div: 65.0ms (23.4% of total)

ival-add: 55.0ms (19.8% of total)

ival-true: 7.0ms (2.5% of total)

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

Bogosity

explain66.0ms (1.1%)

Memory

-24.1MiB live, 97.5MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (*.f64 x (+.f64 y z)) z)`	o/n	30	0
↳	`(*.f64 x (+.f64 y z))`	overflow	48
`/.f64`	`(/.f64 (*.f64 x (+.f64 y z)) z)`	u/n	15	0
↳	`(*.f64 x (+.f64 y z))`	underflow	15

Confusion

	Predicted +	Predicted -
+	45	0
-	0	211

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	45	0	0
-	0	0	211

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	211
1	45

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

34.0ms

512×

valid

Compiler

Compiled 65 to 28 computations (56.9% saved)

Precisions

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

ival-div: 3.0ms (27.7% of total)

ival-add: 3.0ms (27.7% of total)

ival-mult: 3.0ms (27.7% of total)

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

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

preprocess128.0ms (2.1%)

Memory

5.0MiB live, 118.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	72
1	106	66
2	403	64
3	1578	63
4	5366	63
0	6	7
0	9	7
1	19	7
2	42	7
3	85	7
4	167	7
5	670	7
6	3130	7
7	6750	7
8	7834	7
0	8020	6

Stop Event

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

Calls

Call 1

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

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

Symmetry

(negabs x)

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	83.4%	(/.f64 (*.f64 x (+.f64 y z)) z)

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify108.0ms (1.8%)

Memory

14.3MiB live, 95.8MiB 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	128	(/.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	85	18
4	167	18
5	670	18
6	3130	18
7	6750	18
8	7834	18
0	8020	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

localize34.0ms (0.6%)

Memory

-12.0MiB live, 24.4MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 y z)
accuracy	0.0234375	(*.f64 x (+.f64 y z))
accuracy	10.640472586303307	(/.f64 (*.f64 x (+.f64 y z)) z)

Samples

29.0ms

256×

valid

Compiler

Compiled 38 to 14 computations (63.2% saved)

Precisions

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

ival-div: 2.0ms (37.3% of total)

ival-add: 2.0ms (37.3% of total)

ival-mult: 2.0ms (37.3% of total)

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

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

series7.0ms (0.1%)

Memory

10.5MiB live, 10.5MiB 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
1.0ms	x	@	-inf	((/ (* x (+ y z)) z) (* x (+ y z)) (+ y z))
1.0ms	y	@	-inf	((/ (* x (+ y z)) z) (* x (+ y z)) (+ y z))
1.0ms	x	@	inf	((/ (* x (+ y z)) z) (* x (+ y z)) (+ y z))
1.0ms	z	@	-inf	((/ (* x (+ y z)) z) (* x (+ y z)) (+ y z))
1.0ms	x	@	0	((/ (* x (+ y z)) z) (* x (+ y z)) (+ y z))

simplify194.0ms (3.2%)

Memory

22.4MiB live, 139.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	94
1	181	94
2	575	94
3	1656	94
4	3176	94
5	4897	94
6	5271	94
7	5695	94
8	6365	94
9	6817	94
0	8297	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)

rewrite215.0ms (3.6%)

Memory

-11.1MiB live, 238.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	40	15
2	284	15
3	2778	15
0	9742	15

Stop Event

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

Counts

3 → 591

Calls

Call 1

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

Outputs
(.f64 (neg.f64 (pow.f64 (.f64 (/.f64 (-.f64 z y) z) x) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (*.f64 (/.f64 (-.f64 z y) z) x) #s(literal 1/2 binary64))))
(.f64 (fabs.f64 (pow.f64 (.f64 (/.f64 (-.f64 z y) z) x) #s(literal 1/2 binary64))) (fabs.f64 (pow.f64 (*.f64 (/.f64 (-.f64 z y) z) x) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (/.f64 (/.f64 z x) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 z y))
(.f64 (pow.f64 (/.f64 z (.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) x)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (-.f64 z y) z (*.f64 y y)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 z (.f64 (pow.f64 (-.f64 z y) #s(literal 2 binary64)) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 z y) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 z (pow.f64 (.f64 (-.f64 z y) x) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 (-.f64 z y) #s(literal -1 binary64)) x))
(.f64 (pow.f64 (/.f64 z (+.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 z x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (.f64 z x) (.f64 (-.f64 z y) x) (pow.f64 (.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (/.f64 z x) (pow.f64 (-.f64 z y) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 z y) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (/.f64 z x) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (fma.f64 (-.f64 z y) z (.f64 y y))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (/.f64 z x) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (-.f64 z y) z (.f64 y y)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 (-.f64 z y) z))
(*.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (-.f64 z y) z))
(.f64 (pow.f64 (.f64 (/.f64 (-.f64 z y) z) x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (/.f64 (-.f64 z y) z) x) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 (-.f64 z y) z))
(*.f64 (/.f64 (-.f64 z y) #s(literal -1 binary64)) (/.f64 x z))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (-.f64 z y) z))
(.f64 (.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 z y) z))
(*.f64 (/.f64 x z) (-.f64 z y))
(.f64 (.f64 (/.f64 (-.f64 z y) z) x) #s(literal 1 binary64))
(*.f64 (neg.f64 x) (/.f64 (-.f64 z y) z))
(.f64 #s(literal -1 binary64) (.f64 (/.f64 (-.f64 z y) z) x))
(*.f64 (/.f64 (-.f64 z y) z) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 z y) z) x)
(.f64 (-.f64 z y) (.f64 (neg.f64 x) (pow.f64 z #s(literal -1 binary64))))
(*.f64 (-.f64 z y) (/.f64 x z))
(.f64 (pow.f64 (-.f64 z y) #s(literal 2 binary64)) (.f64 (pow.f64 (-.f64 z y) #s(literal -1 binary64)) (/.f64 x z)))
(*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 (pow.f64 (-.f64 z y) #s(literal -1 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 z #s(literal -1 binary64)) (.f64 (-.f64 z y) x))
(.f64 #s(literal 1 binary64) (.f64 (/.f64 (-.f64 z y) z) x))
(.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (.f64 (pow.f64 (fma.f64 (-.f64 z y) z (*.f64 y y)) #s(literal -1 binary64)) (/.f64 x z)))
(.f64 (.f64 (-.f64 z y) x) (pow.f64 z #s(literal -1 binary64)))
(*.f64 x (/.f64 (-.f64 z y) z))
(pow.f64 (exp.f64 (log.f64 (/.f64 (/.f64 z x) (-.f64 z y)))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 (/.f64 z x) (-.f64 z y)) (/.f64 (/.f64 z x) (-.f64 z y))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (*.f64 (/.f64 (-.f64 z y) z) x) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 (-.f64 z y) z) x) #s(literal 1 binary64))
(pow.f64 (/.f64 (/.f64 z x) (-.f64 z y)) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 (*.f64 (-.f64 z y) x) #s(literal -1 binary64))) z)
(/.f64 (neg.f64 (.f64 (.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) x) (pow.f64 z #s(literal -1 binary64)))) (neg.f64 (fma.f64 (-.f64 z y) z (*.f64 y y))))
(/.f64 (neg.f64 (.f64 (.f64 (pow.f64 (-.f64 z y) #s(literal 2 binary64)) x) (pow.f64 z #s(literal -1 binary64)))) (-.f64 z y))
(/.f64 (neg.f64 (.f64 (pow.f64 (.f64 (-.f64 z y) x) #s(literal 2 binary64)) (pow.f64 z #s(literal -1 binary64)))) (*.f64 (-.f64 z y) x))
(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 z x) #s(literal 3 binary64))) (pow.f64 z #s(literal -1 binary64)))) (neg.f64 (fma.f64 (.f64 z x) (.f64 (-.f64 z y) x) (pow.f64 (.f64 y x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (pow.f64 (-.f64 z y) #s(literal 2 binary64)) (/.f64 x z))) (-.f64 z y))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 x z))) (neg.f64 (pow.f64 (-.f64 z y) #s(literal -1 binary64))))
(/.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 z #s(literal -1 binary64)) (.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) x))) (neg.f64 (fma.f64 (-.f64 z y) z (*.f64 y y))))
(/.f64 (neg.f64 (.f64 (pow.f64 z #s(literal -1 binary64)) (.f64 (pow.f64 (-.f64 z y) #s(literal 2 binary64)) x))) (-.f64 z y))
(/.f64 (neg.f64 (.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (.f64 (-.f64 z y) x) #s(literal 2 binary64)))) (*.f64 (-.f64 z y) x))
(/.f64 (neg.f64 (.f64 (pow.f64 z #s(literal -1 binary64)) (+.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 z x) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (.f64 z x) (.f64 (-.f64 z y) x) (pow.f64 (.f64 y x) #s(literal 2 binary64)))))
(/.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)))) (*.f64 (/.f64 (-.f64 z y) z) x))
(/.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 (.f64 #s(literal -1 binary64) (.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) x))) (neg.f64 (.f64 (fma.f64 (-.f64 z y) z (.f64 y y)) z)))
(/.f64 (neg.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 (-.f64 z y) #s(literal 2 binary64)) x))) (neg.f64 (*.f64 (-.f64 z y) z)))
(/.f64 (neg.f64 (.f64 #s(literal -1 binary64) (pow.f64 (.f64 (-.f64 z y) x) #s(literal 2 binary64)))) (neg.f64 (.f64 z (.f64 (-.f64 z y) x))))
(/.f64 (neg.f64 (.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 z x) #s(literal 3 binary64))))) (neg.f64 (.f64 z (fma.f64 (.f64 z x) (.f64 (-.f64 z y) x) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) x))) (neg.f64 (.f64 (fma.f64 (-.f64 z y) z (.f64 y y)) z)))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (.f64 (pow.f64 (-.f64 z y) #s(literal 2 binary64)) x))) (neg.f64 (*.f64 (-.f64 z y) z)))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (pow.f64 (.f64 (-.f64 z y) x) #s(literal 2 binary64)))) (neg.f64 (.f64 z (.f64 (-.f64 z y) x))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 z x) #s(literal 3 binary64))))) (neg.f64 (.f64 z (fma.f64 (.f64 z x) (.f64 (-.f64 z y) x) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (.f64 (.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) x) #s(literal -1 binary64))) (neg.f64 (.f64 (fma.f64 (-.f64 z y) z (.f64 y y)) z)))
(/.f64 (neg.f64 (.f64 (.f64 (pow.f64 (-.f64 z y) #s(literal 2 binary64)) x) #s(literal -1 binary64))) (neg.f64 (*.f64 (-.f64 z y) z)))
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eval84.0ms (1.4%)

Memory: 4.7MiB live, 202.1MiB allocated
Compiler: Compiled 13 442 to 1 891 computations (85.9% saved)

prune17.0ms (0.3%)

Memory

-20.4MiB live, 52.7MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	589	8	597
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	590	8	598

Accuracy

100.0%

Counts

598 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	94.0%	(fma.f64 y (/.f64 x z) (*.f64 x #s(literal 1 binary64)))
	43.2%	(/.f64 (/.f64 (neg.f64 x) (pow.f64 (-.f64 z y) #s(literal -1 binary64))) z)
▶	31.8%	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 z (-.f64 z y))) (.f64 z x)) (*.f64 z (/.f64 z (-.f64 z y))))
	44.3%	(/.f64 (-.f64 z y) (neg.f64 (/.f64 z x)))
▶	24.8%	(/.f64 (.f64 (pow.f64 (.f64 (-.f64 z y) x) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (.f64 (-.f64 z y) x) z))
	41.1%	(/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z)
▶	44.4%	(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
▶	96.9%	#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))

Compiler

Compiled 196 to 140 computations (28.6% saved)

simplify156.0ms (2.6%)

Memory

12.1MiB live, 173.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (-.f64 z y) x)
cost-diff	0	(pow.f64 (*.f64 (-.f64 z y) x) #s(literal 2 binary64))
cost-diff	192	(.f64 (pow.f64 (.f64 (-.f64 z y) x) #s(literal 2 binary64)) #s(literal -1 binary64))
cost-diff	7424	(/.f64 (.f64 (pow.f64 (.f64 (-.f64 z y) x) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (.f64 (-.f64 z y) x) z))
cost-diff	0	(/.f64 z (-.f64 z y))
cost-diff	64	(-.f64 (.f64 #s(literal 0 binary64) (/.f64 z (-.f64 z y))) (.f64 z x))
cost-diff	1152	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 z (-.f64 z y))) (.f64 z x)) (*.f64 z (/.f64 z (-.f64 z y))))
cost-diff	1216	(*.f64 #s(literal 0 binary64) (/.f64 z (-.f64 z y)))
cost-diff	0	(/.f64 x z)
cost-diff	0	(fma.f64 y (/.f64 x z) (*.f64 x #s(literal 1 binary64)))
cost-diff	320	(*.f64 x #s(literal 1 binary64))
cost-diff	0	(*.f64 y x)
cost-diff	0	#s(approx (* x (+ y z)) (*.f64 y x))
cost-diff	0	(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
cost-diff	0	(/.f64 y z)
cost-diff	0	(fma.f64 (/.f64 y z) x x)
cost-diff	0	#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	31	182
0	52	156
1	108	152
2	328	143
3	1897	141
4	7299	141
0	8285	141

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

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

localize107.0ms (1.8%)

Memory

-35.0MiB live, 97.1MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(*.f64 (-.f64 z y) x)
accuracy	0.254570019536884	(pow.f64 (*.f64 (-.f64 z y) x) #s(literal 2 binary64))
accuracy	2.4903294824320623	(.f64 (.f64 (-.f64 z y) x) z)
accuracy	31.284854926452454	(/.f64 (.f64 (pow.f64 (.f64 (-.f64 z y) x) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (.f64 (-.f64 z y) x) z))
accuracy	0	(*.f64 #s(literal 0 binary64) (/.f64 z (-.f64 z y)))
accuracy	0.03125	(/.f64 z (-.f64 z y))
accuracy	0.078125	(*.f64 z (/.f64 z (-.f64 z y)))
accuracy	17.817175213349913	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 z (-.f64 z y))) (.f64 z x)) (*.f64 z (/.f64 z (-.f64 z y))))
accuracy	0	(/.f64 x z)
accuracy	0	(*.f64 x #s(literal 1 binary64))
accuracy	3.8512282283412205	(fma.f64 y (/.f64 x z) (*.f64 x #s(literal 1 binary64)))
accuracy	0	(*.f64 y x)
accuracy	10.640472586303307	(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
accuracy	30.842691868455944	#s(approx (* x (+ y z)) (*.f64 y x))
accuracy	0	(/.f64 y z)
accuracy	0	#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))
accuracy	1.9593554885815283	(fma.f64 (/.f64 y z) x x)

Samples

84.0ms

256×

valid

Compiler

Compiled 353 to 63 computations (82.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 54.0ms

ival-pow2: 19.0ms (35.2% of total)

ival-mult: 18.0ms (33.4% of total)

ival-div: 10.0ms (18.5% of total)

ival-add: 4.0ms (7.4% of total)

ival-sub: 2.0ms (3.7% of total)

exact: 1.0ms (1.9% of total)

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

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

series37.0ms (0.6%)

Memory

27.7MiB live, 63.1MiB allocated

Counts

19 → 106

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

Outputs
(/ (* x (+ y z)) z)
(* x (+ 1 (/ y z)))
(* x (+ y z))
(* x y)
x
(/ x z)
(* -1 (/ (* x (- z y)) z))
(* -1 (* x z))
(* -1 (* (pow x 2) (pow (- z y) 2)))
(* (pow x 2) (pow (- z y) 2))
(* x (- z y))
(* x (* z (- z y)))
(* -1 (* x (- (* -1 (/ y z)) 1)))
(+ x (/ (* x y) z))
(/ y z)
(* x z)
(+ (* x y) (* x z))
0
(* -1 x)
(+ (* -1 x) (/ (* x y) z))
1
(+ 1 (/ y z))
(+ 1 (* y (+ (/ 1 z) (/ y (pow z 2)))))
(+ 1 (* y (+ (* y (+ (/ 1 (pow z 2)) (/ y (pow z 3)))) (/ 1 z))))
(* -1 (* (pow x 2) (pow z 2)))
(+ (* -1 (* (pow x 2) (pow z 2))) (* 2 (* (pow x 2) (* y z))))
(+ (* -1 (* (pow x 2) (pow z 2))) (* y (+ (* -1 (* (pow x 2) y)) (* 2 (* (pow x 2) z)))))
(* (pow x 2) (pow z 2))
(+ (* -2 (* (pow x 2) (* y z))) (* (pow x 2) (pow z 2)))
(+ (* y (+ (* -2 (* (pow x 2) z)) (* (pow x 2) y))) (* (pow x 2) (pow z 2)))
(+ (* -1 (* x y)) (* x z))
z
(+ y z)
(+ z (* y (+ 1 (/ y z))))
(+ z (* y (+ 1 (* y (+ (/ 1 z) (/ y (pow z 2)))))))
(* x (pow z 2))
(+ (* -1 (* x (* y z))) (* x (pow z 2)))
(/ (* x y) z)
(* y (+ (/ x y) (/ x z)))
(* y (+ x (/ (* x z) y)))
(* y (+ (* -1 (/ x y)) (/ x z)))
(* -1 (/ z y))
(/ (+ (* -1 z) (* -1 (/ (pow z 2) y))) y)
(/ (- (+ (* -1 z) (* -1 (/ (pow z 3) (pow y 2)))) (/ (pow z 2) y)) y)
(/ (- (+ (* -1 z) (* -1 (/ (pow z 4) (pow y 3)))) (+ (/ (pow z 2) y) (/ (pow z 3) (pow y 2)))) y)
(* -1 (* (pow x 2) (pow y 2)))
(* (pow y 2) (+ (* -1 (pow x 2)) (* 2 (/ (* (pow x 2) z) y))))
(* (pow y 2) (+ (* -1 (/ (* (pow x 2) (pow z 2)) (pow y 2))) (+ (* -1 (pow x 2)) (* 2 (/ (* (pow x 2) z) y)))))
(* (pow x 2) (pow y 2))
(* (pow y 2) (+ (* -2 (/ (* (pow x 2) z) y)) (pow x 2)))
(* (pow y 2) (+ (* -2 (/ (* (pow x 2) z) y)) (+ (/ (* (pow x 2) (pow z 2)) (pow y 2)) (pow x 2))))
(* -1 (* x y))
(* y (+ (* -1 x) (/ (* x z) y)))
(* -1 (/ (pow z 2) y))
(/ (+ (* -1 (/ (pow z 3) y)) (* -1 (pow z 2))) y)
(/ (- (+ (* -1 (/ (pow z 4) (pow y 2))) (* -1 (pow z 2))) (/ (pow z 3) y)) y)
(/ (- (+ (* -1 (/ (pow z 5) (pow y 3))) (* -1 (pow z 2))) (+ (/ (pow z 3) y) (/ (pow z 4) (pow y 2)))) y)
(* -1 (* x (* y z)))
(* y (+ (* -1 (* 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 (/ x z)) (/ x y))))
(* -1 (/ (+ z (/ (pow z 2) y)) y))
(* -1 (/ (+ z (* -1 (/ (- (* -1 (/ (pow z 3) y)) (pow z 2)) y))) y))
(* -1 (/ (+ z (* -1 (/ (- (* -1 (/ (- (/ (pow z 4) y) (* -1 (pow z 3))) y)) (pow z 2)) y))) y))
(* (pow y 2) (+ (* -1 (/ (+ (* -2 (* (pow x 2) z)) (/ (* (pow x 2) (pow z 2)) y)) y)) (* -1 (pow x 2))))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow z 2)) y)) (* 2 (* (pow x 2) z))) y)) (pow x 2)))
(* -1 (* y (+ x (* -1 (/ (* x z) y)))))
(* -1 (/ (+ (/ (pow z 3) y) (pow z 2)) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow z 4) y)) (pow z 3)) y)) (pow z 2)) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow z 5) y) (* -1 (pow z 4))) y)) (pow z 3)) y)) (pow z 2)) y))
(* -1 (* y (+ (* -1 (/ (* x (pow z 2)) y)) (* x z))))
(/ (+ (* x y) (* x z)) z)
(/ (+ (* -1 (* x z)) (* x y)) z)
(* z (- (* -1 (/ z (pow y 2))) (/ 1 y)))
(* z (- (* z (- (* -1 (/ z (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y)))
(* z (- (* z (- (* z (- (* -1 (/ z (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(+ (* -1 (* (pow x 2) (pow y 2))) (* 2 (* (pow x 2) (* y z))))
(+ (* -1 (* (pow x 2) (pow y 2))) (* z (+ (* -1 (* (pow x 2) z)) (* 2 (* (pow x 2) y)))))
(+ (* -2 (* (pow x 2) (* y z))) (* (pow x 2) (pow y 2)))
(+ (* z (+ (* -2 (* (pow x 2) y)) (* (pow x 2) z))) (* (pow x 2) (pow y 2)))
(* (pow z 2) (- (* -1 (/ z (pow y 2))) (/ 1 y)))
(* (pow z 2) (- (* z (- (* -1 (/ z (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y)))
(* (pow z 2) (- (* z (- (* z (- (* -1 (/ z (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(* z (+ (* -1 (* x y)) (* x z)))
(* z (+ x (/ (* x y) z)))
(- (+ 1 (/ (pow y 2) (pow z 2))) (* -1 (/ y z)))
(- (+ 1 (/ (pow y 3) (pow z 3))) (+ (* -1 (/ y z)) (* -1 (/ (pow y 2) (pow z 2)))))
(* (pow z 2) (+ (* -1 (pow x 2)) (* 2 (/ (* (pow x 2) y) z))))
(* (pow z 2) (+ (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (+ (* -1 (pow x 2)) (* 2 (/ (* (pow x 2) y) z)))))
(* (pow z 2) (+ (* -2 (/ (* (pow x 2) y) z)) (pow x 2)))
(* (pow z 2) (+ (* -2 (/ (* (pow x 2) y) z)) (+ (/ (* (pow x 2) (pow y 2)) (pow z 2)) (pow x 2))))
(* z (+ x (* -1 (/ (* x y) z))))
(* z (+ 1 (/ y z)))
(* z (- (+ 1 (/ (pow y 2) (pow z 2))) (* -1 (/ y z))))
(* z (- (+ 1 (/ (pow y 3) (pow z 3))) (+ (* -1 (/ y z)) (* -1 (/ (pow y 2) (pow z 2))))))
(* (pow z 2) (+ x (* -1 (/ (* x y) z))))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) z)) y) z)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) z) (* -1 (pow y 2))) z)) y) z)))
(* (pow z 2) (+ (* -1 (/ (+ (* -2 (* (pow x 2) y)) (/ (* (pow x 2) (pow y 2)) z)) z)) (* -1 (pow x 2))))
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow y 2)) z)) (* 2 (* (pow x 2) y))) z)) (pow x 2)))
(* -1 (* z (+ (* -1 x) (/ (* x y) z))))
(* -1 (* z (- (* -1 (/ y z)) 1)))
(* -1 (* z (- (* -1 (/ (- (/ (pow y 2) z) (* -1 y)) z)) 1)))
(* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) z)) (pow y 2)) z)) (* -1 y)) z)) 1)))

Calls

9 calls:

Time	Variable		Point	Expression
6.0ms	y	@	-inf	((/ (* x (+ y z)) z) (+ (* (/ y z) x) x) (/ y z) (/ (* x (+ y z)) z) (* x (+ y z)) (* y x) (* x 1) (+ (* y (/ x z)) (* x 1)) (/ x z) (* 0 (/ z (- z y))) (/ (- (* 0 (/ z (- z y))) (* z x)) (* z (/ z (- z y)))) (- (* 0 (/ z (- z y))) (* z x)) (/ z (- z y)) (/ (* (pow (* (- z y) x) 2) -1) (* (* (- z y) x) z)) (* (pow (* (- z y) x) 2) -1) (pow (* (- z y) x) 2) (* (- z y) x) (* z (/ z (- z y))) (* (* (- z y) x) z))
5.0ms	y	@	0	((/ (* x (+ y z)) z) (+ (* (/ y z) x) x) (/ y z) (/ (* x (+ y z)) z) (* x (+ y z)) (* y x) (* x 1) (+ (* y (/ x z)) (* x 1)) (/ x z) (* 0 (/ z (- z y))) (/ (- (* 0 (/ z (- z y))) (* z x)) (* z (/ z (- z y)))) (- (* 0 (/ z (- z y))) (* z x)) (/ z (- z y)) (/ (* (pow (* (- z y) x) 2) -1) (* (* (- z y) x) z)) (* (pow (* (- z y) x) 2) -1) (pow (* (- z y) x) 2) (* (- z y) x) (* z (/ z (- z y))) (* (* (- z y) x) z))
5.0ms	x	@	0	((/ (* x (+ y z)) z) (+ (* (/ y z) x) x) (/ y z) (/ (* x (+ y z)) z) (* x (+ y z)) (* y x) (* x 1) (+ (* y (/ x z)) (* x 1)) (/ x z) (* 0 (/ z (- z y))) (/ (- (* 0 (/ z (- z y))) (* z x)) (* z (/ z (- z y)))) (- (* 0 (/ z (- z y))) (* z x)) (/ z (- z y)) (/ (* (pow (* (- z y) x) 2) -1) (* (* (- z y) x) z)) (* (pow (* (- z y) x) 2) -1) (pow (* (- z y) x) 2) (* (- z y) x) (* z (/ z (- z y))) (* (* (- z y) x) z))
4.0ms	x	@	-inf	((/ (* x (+ y z)) z) (+ (* (/ y z) x) x) (/ y z) (/ (* x (+ y z)) z) (* x (+ y z)) (* y x) (* x 1) (+ (* y (/ x z)) (* x 1)) (/ x z) (* 0 (/ z (- z y))) (/ (- (* 0 (/ z (- z y))) (* z x)) (* z (/ z (- z y)))) (- (* 0 (/ z (- z y))) (* z x)) (/ z (- z y)) (/ (* (pow (* (- z y) x) 2) -1) (* (* (- z y) x) z)) (* (pow (* (- z y) x) 2) -1) (pow (* (- z y) x) 2) (* (- z y) x) (* z (/ z (- z y))) (* (* (- z y) x) z))
3.0ms	x	@	inf	((/ (* x (+ y z)) z) (+ (* (/ y z) x) x) (/ y z) (/ (* x (+ y z)) z) (* x (+ y z)) (* y x) (* x 1) (+ (* y (/ x z)) (* x 1)) (/ x z) (* 0 (/ z (- z y))) (/ (- (* 0 (/ z (- z y))) (* z x)) (* z (/ z (- z y)))) (- (* 0 (/ z (- z y))) (* z x)) (/ z (- z y)) (/ (* (pow (* (- z y) x) 2) -1) (* (* (- z y) x) z)) (* (pow (* (- z y) x) 2) -1) (pow (* (- z y) x) 2) (* (- z y) x) (* z (/ z (- z y))) (* (* (- z y) x) z))

simplify127.0ms (2.1%)

Memory

-0.9MiB live, 159.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	344	1415
1	1228	1317
2	4428	1293
0	8259	1227

Stop Event

1×	iter limit
1×	node limit

Counts

106 → 104

Calls

Call 1

Inputs
(/ (* x (+ y z)) z)
(* x (+ 1 (/ y z)))
(* x (+ y z))
(* x y)
x
(/ x z)
(* -1 (/ (* x (- z y)) z))
(* -1 (* x z))
(* -1 (* (pow x 2) (pow (- z y) 2)))
(* (pow x 2) (pow (- z y) 2))
(* x (- z y))
(* x (* z (- z y)))
(* -1 (* x (- (* -1 (/ y z)) 1)))
(+ x (/ (* x y) z))
(/ y z)
(* x z)
(+ (* x y) (* x z))
0
(* -1 x)
(+ (* -1 x) (/ (* x y) z))
1
(+ 1 (/ y z))
(+ 1 (* y (+ (/ 1 z) (/ y (pow z 2)))))
(+ 1 (* y (+ (* y (+ (/ 1 (pow z 2)) (/ y (pow z 3)))) (/ 1 z))))
(* -1 (* (pow x 2) (pow z 2)))
(+ (* -1 (* (pow x 2) (pow z 2))) (* 2 (* (pow x 2) (* y z))))
(+ (* -1 (* (pow x 2) (pow z 2))) (* y (+ (* -1 (* (pow x 2) y)) (* 2 (* (pow x 2) z)))))
(* (pow x 2) (pow z 2))
(+ (* -2 (* (pow x 2) (* y z))) (* (pow x 2) (pow z 2)))
(+ (* y (+ (* -2 (* (pow x 2) z)) (* (pow x 2) y))) (* (pow x 2) (pow z 2)))
(+ (* -1 (* x y)) (* x z))
z
(+ y z)
(+ z (* y (+ 1 (/ y z))))
(+ z (* y (+ 1 (* y (+ (/ 1 z) (/ y (pow z 2)))))))
(* x (pow z 2))
(+ (* -1 (* x (* y z))) (* x (pow z 2)))
(/ (* x y) z)
(* y (+ (/ x y) (/ x z)))
(* y (+ x (/ (* x z) y)))
(* y (+ (* -1 (/ x y)) (/ x z)))
(* -1 (/ z y))
(/ (+ (* -1 z) (* -1 (/ (pow z 2) y))) y)
(/ (- (+ (* -1 z) (* -1 (/ (pow z 3) (pow y 2)))) (/ (pow z 2) y)) y)
(/ (- (+ (* -1 z) (* -1 (/ (pow z 4) (pow y 3)))) (+ (/ (pow z 2) y) (/ (pow z 3) (pow y 2)))) y)
(* -1 (* (pow x 2) (pow y 2)))
(* (pow y 2) (+ (* -1 (pow x 2)) (* 2 (/ (* (pow x 2) z) y))))
(* (pow y 2) (+ (* -1 (/ (* (pow x 2) (pow z 2)) (pow y 2))) (+ (* -1 (pow x 2)) (* 2 (/ (* (pow x 2) z) y)))))
(* (pow x 2) (pow y 2))
(* (pow y 2) (+ (* -2 (/ (* (pow x 2) z) y)) (pow x 2)))
(* (pow y 2) (+ (* -2 (/ (* (pow x 2) z) y)) (+ (/ (* (pow x 2) (pow z 2)) (pow y 2)) (pow x 2))))
(* -1 (* x y))
(* y (+ (* -1 x) (/ (* x z) y)))
(* -1 (/ (pow z 2) y))
(/ (+ (* -1 (/ (pow z 3) y)) (* -1 (pow z 2))) y)
(/ (- (+ (* -1 (/ (pow z 4) (pow y 2))) (* -1 (pow z 2))) (/ (pow z 3) y)) y)
(/ (- (+ (* -1 (/ (pow z 5) (pow y 3))) (* -1 (pow z 2))) (+ (/ (pow z 3) y) (/ (pow z 4) (pow y 2)))) y)
(* -1 (* x (* y z)))
(* y (+ (* -1 (* 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 (/ x z)) (/ x y))))
(* -1 (/ (+ z (/ (pow z 2) y)) y))
(* -1 (/ (+ z (* -1 (/ (- (* -1 (/ (pow z 3) y)) (pow z 2)) y))) y))
(* -1 (/ (+ z (* -1 (/ (- (* -1 (/ (- (/ (pow z 4) y) (* -1 (pow z 3))) y)) (pow z 2)) y))) y))
(* (pow y 2) (+ (* -1 (/ (+ (* -2 (* (pow x 2) z)) (/ (* (pow x 2) (pow z 2)) y)) y)) (* -1 (pow x 2))))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow z 2)) y)) (* 2 (* (pow x 2) z))) y)) (pow x 2)))
(* -1 (* y (+ x (* -1 (/ (* x z) y)))))
(* -1 (/ (+ (/ (pow z 3) y) (pow z 2)) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow z 4) y)) (pow z 3)) y)) (pow z 2)) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow z 5) y) (* -1 (pow z 4))) y)) (pow z 3)) y)) (pow z 2)) y))
(* -1 (* y (+ (* -1 (/ (* x (pow z 2)) y)) (* x z))))
(/ (+ (* x y) (* x z)) z)
(/ (+ (* -1 (* x z)) (* x y)) z)
(* z (- (* -1 (/ z (pow y 2))) (/ 1 y)))
(* z (- (* z (- (* -1 (/ z (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y)))
(* z (- (* z (- (* z (- (* -1 (/ z (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(+ (* -1 (* (pow x 2) (pow y 2))) (* 2 (* (pow x 2) (* y z))))
(+ (* -1 (* (pow x 2) (pow y 2))) (* z (+ (* -1 (* (pow x 2) z)) (* 2 (* (pow x 2) y)))))
(+ (* -2 (* (pow x 2) (* y z))) (* (pow x 2) (pow y 2)))
(+ (* z (+ (* -2 (* (pow x 2) y)) (* (pow x 2) z))) (* (pow x 2) (pow y 2)))
(* (pow z 2) (- (* -1 (/ z (pow y 2))) (/ 1 y)))
(* (pow z 2) (- (* z (- (* -1 (/ z (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y)))
(* (pow z 2) (- (* z (- (* z (- (* -1 (/ z (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
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(* z (+ x (/ (* x y) z)))
(- (+ 1 (/ (pow y 2) (pow z 2))) (* -1 (/ y z)))
(- (+ 1 (/ (pow y 3) (pow z 3))) (+ (* -1 (/ y z)) (* -1 (/ (pow y 2) (pow z 2)))))
(* (pow z 2) (+ (* -1 (pow x 2)) (* 2 (/ (* (pow x 2) y) z))))
(* (pow z 2) (+ (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (+ (* -1 (pow x 2)) (* 2 (/ (* (pow x 2) y) z)))))
(* (pow z 2) (+ (* -2 (/ (* (pow x 2) y) z)) (pow x 2)))
(* (pow z 2) (+ (* -2 (/ (* (pow x 2) y) z)) (+ (/ (* (pow x 2) (pow y 2)) (pow z 2)) (pow x 2))))
(* z (+ x (* -1 (/ (* x y) z))))
(* z (+ 1 (/ y z)))
(* z (- (+ 1 (/ (pow y 2) (pow z 2))) (* -1 (/ y z))))
(* z (- (+ 1 (/ (pow y 3) (pow z 3))) (+ (* -1 (/ y z)) (* -1 (/ (pow y 2) (pow z 2))))))
(* (pow z 2) (+ x (* -1 (/ (* x y) z))))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) z)) y) z)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) z) (* -1 (pow y 2))) z)) y) z)))
(* (pow z 2) (+ (* -1 (/ (+ (* -2 (* (pow x 2) y)) (/ (* (pow x 2) (pow y 2)) z)) z)) (* -1 (pow x 2))))
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow y 2)) z)) (* 2 (* (pow x 2) y))) z)) (pow x 2)))
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(* -1 (* z (- (* -1 (/ (- (/ (pow y 2) z) (* -1 y)) z)) 1)))
(* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) z)) (pow y 2)) 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)
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x
(/ x z)
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(* -1 (* x z))
(*.f64 (neg.f64 z) x)
(* -1 (* (pow x 2) (pow (- z y) 2)))
(.f64 (.f64 (pow.f64 (-.f64 z y) #s(literal 2 binary64)) x) (neg.f64 x))
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(.f64 (.f64 (pow.f64 (-.f64 z y) #s(literal 2 binary64)) x) x)
(* x (- z y))
(*.f64 (-.f64 z y) x)
(* x (* z (- z y)))
(.f64 (.f64 (-.f64 z y) z) x)
(* -1 (* x (- (* -1 (/ y z)) 1)))
(fma.f64 (/.f64 x z) y x)
(+ x (/ (* x y) z))
(fma.f64 (/.f64 x z) y x)
(/ y z)
(/.f64 y z)
(* x z)
(*.f64 z x)
(+ (* x y) (* x z))
(*.f64 (+.f64 z y) x)
0
#s(literal 0 binary64)
(* -1 x)
(neg.f64 x)
(+ (* -1 x) (/ (* x y) z))
(fma.f64 (/.f64 x z) y (neg.f64 x))
1
#s(literal 1 binary64)
(+ 1 (/ y z))
(/.f64 (+.f64 z y) z)
(+ 1 (* y (+ (/ 1 z) (/ y (pow z 2)))))
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(+ 1 (* y (+ (* y (+ (/ 1 (pow z 2)) (/ y (pow z 3)))) (/ 1 z))))
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(+ (* -1 (* (pow x 2) (pow z 2))) (* y (+ (* -1 (* (pow x 2) y)) (* 2 (* (pow x 2) z)))))
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(* (pow x 2) (pow z 2))
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(+ (* -2 (* (pow x 2) (* y z))) (* (pow x 2) (pow z 2)))
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(+ (* y (+ (* -2 (* (pow x 2) z)) (* (pow x 2) y))) (* (pow x 2) (pow z 2)))
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(+ (* -1 (* x y)) (* x z))
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(+ y z)
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(* x (pow z 2))
(.f64 (.f64 z z) x)
(+ (* -1 (* 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)))
(*.f64 (+.f64 (/.f64 x y) (/.f64 x z)) y)
(* y (+ x (/ (* x z) y)))
(*.f64 (fma.f64 z (/.f64 x y) x) y)
(* y (+ (* -1 (/ x y)) (/ x z)))
(*.f64 (-.f64 (/.f64 x z) (/.f64 x y)) y)
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(/ (+ (* -1 z) (* -1 (/ (pow z 2) y))) y)
(/.f64 (fma.f64 z (/.f64 z y) z) (neg.f64 y))
(/ (- (+ (* -1 z) (* -1 (/ (pow z 3) (pow y 2)))) (/ (pow z 2) y)) y)
(/.f64 (+.f64 (/.f64 (fma.f64 z z (/.f64 (pow.f64 z #s(literal 3 binary64)) y)) y) z) (neg.f64 y))
(/ (- (+ (* -1 z) (* -1 (/ (pow z 4) (pow y 3)))) (+ (/ (pow z 2) y) (/ (pow z 3) (pow y 2)))) y)
(/.f64 (-.f64 (/.f64 (fma.f64 z z (/.f64 (+.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) y) (pow.f64 z #s(literal 3 binary64))) y)) (neg.f64 y)) z) y)
(* -1 (* (pow x 2) (pow y 2)))
(.f64 (.f64 (*.f64 y y) x) (neg.f64 x))
(* (pow y 2) (+ (* -1 (pow x 2)) (* 2 (/ (* (pow x 2) z) y))))
(.f64 (.f64 (fma.f64 (.f64 x (.f64 z (/.f64 x y))) #s(literal 2 binary64) (*.f64 (neg.f64 x) x)) y) y)
(* (pow y 2) (+ (* -1 (/ (* (pow x 2) (pow z 2)) (pow y 2))) (+ (* -1 (pow x 2)) (* 2 (/ (* (pow x 2) z) y)))))
(.f64 (neg.f64 (fma.f64 x x (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 (.f64 x x) z) (.f64 x (.f64 (.f64 z (/.f64 z y)) x))) y))) (*.f64 y y))
(* (pow x 2) (pow y 2))
(.f64 (.f64 (*.f64 x x) y) y)
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(.f64 (.f64 (fma.f64 (.f64 x (.f64 z (/.f64 x y))) #s(literal -2 binary64) (*.f64 x x)) y) y)
(* (pow y 2) (+ (* -2 (/ (* (pow x 2) z) y)) (+ (/ (* (pow x 2) (pow z 2)) (pow y 2)) (pow x 2))))
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(* -1 (* x y))
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(/ (+ (* -1 (/ (pow z 3) y)) (* -1 (pow z 2))) y)
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(/ (- (+ (* -1 (/ (pow z 4) (pow y 2))) (* -1 (pow z 2))) (/ (pow z 3) y)) y)
(/.f64 (fma.f64 z z (/.f64 (+.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) y) (pow.f64 z #s(literal 3 binary64))) y)) (neg.f64 y))
(/ (- (+ (* -1 (/ (pow z 5) (pow y 3))) (* -1 (pow z 2))) (+ (/ (pow z 3) y) (/ (pow z 4) (pow y 2)))) y)
(/.f64 (neg.f64 (+.f64 (/.f64 (+.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) y) (pow.f64 z #s(literal 3 binary64))) y) (fma.f64 z z (/.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 y #s(literal 3 binary64)))))) y)
(* -1 (* x (* y z)))
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(*.f64 (+.f64 (/.f64 x y) (/.f64 x z)) y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(*.f64 (fma.f64 z (/.f64 x y) x) y)
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(*.f64 (-.f64 (/.f64 x z) (/.f64 x y)) y)
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(+ (* z (+ (* -2 (* (pow x 2) y)) (* (pow x 2) z))) (* (pow x 2) (pow y 2)))
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(* -1 (* z (- (* -1 (/ (- (/ (pow y 2) z) (* -1 y)) z)) 1)))
(fma.f64 (/.f64 (fma.f64 (/.f64 y z) y y) z) z z)
(* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) z)) (pow y 2)) z)) (* -1 y)) z)) 1)))
(*.f64 (fma.f64 (/.f64 (/.f64 (+.f64 z y) z) z) y (+.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64))) z)

rewrite250.0ms (4.2%)

Memory

0.6MiB live, 198.3MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	31	154
0	52	132
1	225	128
2	1426	115
0	8523	115

Stop Event

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

Counts

19 → 738

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

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

eval184.0ms (3.1%)

Memory: 8.2MiB live, 155.1MiB allocated
Compiler: Compiled 18 469 to 2 383 computations (87.1% saved)

prune50.0ms (0.8%)

Memory

-14.1MiB live, 42.7MiB allocated

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	822	8	830
Fresh	2	1	3
Picked	3	2	5
Done	0	0	0
Total	827	11	838

Accuracy

100.0%

Counts

838 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	31.8%	(/.f64 (.f64 z x) (.f64 (/.f64 z (-.f64 y z)) z))
	19.8%	(/.f64 #s(approx (* (pow (* (- z y) x) 2) -1) (.f64 (.f64 (.f64 y y) x) (neg.f64 x))) (.f64 (*.f64 (-.f64 z y) x) z))
▶	41.1%	(/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z)
✓	44.4%	(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
	44.3%	(.f64 (neg.f64 #s(approx ( x (+ y z)) (*.f64 y x))) (/.f64 #s(literal -1 binary64) z))
▶	2.9%	#s(approx (/ (- (* 0 (/ z (- z y))) (* z x)) (* z (/ z (- z y)))) (neg.f64 x))
✓	96.9%	#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))
▶	96.9%	#s(approx (/ (* x (+ y z)) z) (fma.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z)) x x))
	85.8%	#s(approx (/ (* x (+ y z)) z) (/.f64 (+.f64 z y) (/.f64 z x)))
▶	97.1%	#s(approx (/ (* x (+ y z)) z) (/.f64 x (/.f64 z (+.f64 z y))))
	44.4%	#s(approx (/ (* x (+ y z)) z) (*.f64 (/.f64 x z) y))

Compiler

Compiled 313 to 215 computations (31.3% saved)

simplify117.0ms (1.9%)

Memory

-2.8MiB live, 104.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 z (-.f64 y z))
cost-diff	0	(*.f64 (/.f64 z (-.f64 y z)) z)
cost-diff	0	(*.f64 z x)
cost-diff	640	(/.f64 (.f64 z x) (.f64 (/.f64 z (-.f64 y z)) z))
cost-diff	0	(neg.f64 y)
cost-diff	0	(fma.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z)) x x)
cost-diff	0	#s(approx (/ (* x (+ y z)) z) (fma.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z)) x x))
cost-diff	448	(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z))
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	(neg.f64 x)
cost-diff	0	#s(approx (/ (- (* 0 (/ z (- z y))) (* z x)) (* z (/ z (- z y)))) (neg.f64 x))
cost-diff	0	(+.f64 z y)
cost-diff	0	(/.f64 z (+.f64 z y))
cost-diff	0	#s(approx (/ (* x (+ y z)) z) (/.f64 x (/.f64 z (+.f64 z y))))
cost-diff	512	(/.f64 x (/.f64 z (+.f64 z y)))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	33	156
0	48	146
1	106	144
2	272	131
3	794	127
4	3043	127
5	6420	127
6	7852	127
0	8038	127

Stop Event

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

Calls

Call 1

Inputs
#s(approx (/ (* x (+ y z)) z) (/.f64 x (/.f64 z (+.f64 z y))))
(/.f64 x (/.f64 z (+.f64 z y)))
x
(/.f64 z (+.f64 z y))
z
(+.f64 z y)
y
#s(approx (/ (- (* 0 (/ z (- z y))) (* z x)) (* z (/ z (- z y)))) (neg.f64 x))
(neg.f64 x)
x
(/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z)
#s(approx (* x (+ y z)) (*.f64 z x))
(*.f64 z x)
z
x
#s(approx (/ (* x (+ y z)) z) (fma.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z)) x x))
(fma.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z)) x x)
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z))
(neg.f64 y)
y
(/.f64 #s(literal -1 binary64) z)
#s(literal -1 binary64)
z
x
(/.f64 (.f64 z x) (.f64 (/.f64 z (-.f64 y z)) z))
(*.f64 z x)
z
x
(*.f64 (/.f64 z (-.f64 y z)) z)
(/.f64 z (-.f64 y z))
(-.f64 y z)
y

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

localize141.0ms (2.4%)

Memory

1.7MiB live, 125.9MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 z x)
accuracy	0.03125	(/.f64 z (-.f64 y z))
accuracy	0.078125	(*.f64 (/.f64 z (-.f64 y z)) z)
accuracy	17.817175213349913	(/.f64 (.f64 z x) (.f64 (/.f64 z (-.f64 y z)) z))
accuracy	0	(neg.f64 y)
accuracy	0	#s(approx (/ (* x (+ y z)) z) (fma.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z)) x x))
accuracy	0.19921875	(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z))
accuracy	1.9593554885815283	(fma.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z)) x x)
accuracy	0	(*.f64 z x)
accuracy	10.640472586303307	(/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z)
accuracy	27.834223917141355	#s(approx (* x (+ y z)) (*.f64 z x))
accuracy	0	(neg.f64 x)
accuracy	30.478945946151867	#s(approx (/ (- (* 0 (/ z (- z y))) (* z x)) (* z (/ z (- z y)))) (neg.f64 x))
accuracy	0	(+.f64 z y)
accuracy	0	#s(approx (/ (* x (+ y z)) z) (/.f64 x (/.f64 z (+.f64 z y))))
accuracy	0.0234375	(/.f64 z (+.f64 z y))
accuracy	1.8672343281651338	(/.f64 x (/.f64 z (+.f64 z y)))

Samples

47.0ms

256×

valid

Compiler

Compiled 286 to 63 computations (78% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-div: 12.0ms (37.5% of total)

ival-mult: 10.0ms (31.2% of total)

ival-sub: 4.0ms (12.5% of total)

ival-add: 4.0ms (12.5% of total)

ival-neg: 2.0ms (6.2% of total)

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

exact: 0.0ms (0% of total)

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

series45.0ms (0.7%)

Memory

27.4MiB live, 63.0MiB allocated

Counts

16 → 88

Calls

Call 1

Inputs
(/.f64 x (/.f64 z (+.f64 z y)))
#s(approx (/ (* x (+ y z)) z) (/.f64 x (/.f64 z (+.f64 z y))))
(/.f64 z (+.f64 z y))
(+.f64 z y)
#s(approx (/ (- (* 0 (/ z (- z y))) (* z x)) (* z (/ z (- z y)))) (neg.f64 x))
(neg.f64 x)
(/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z)
#s(approx (* x (+ y z)) (*.f64 z x))
(*.f64 z x)
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z))
#s(approx (/ (* x (+ y z)) z) (fma.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z)) x x))
(fma.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z)) x x)
(neg.f64 y)
(/.f64 (.f64 z x) (.f64 (/.f64 z (-.f64 y z)) z))
(*.f64 (/.f64 z (-.f64 y z)) z)
(/.f64 z (-.f64 y z))

Outputs
(/ (* x (+ y z)) z)
(* -1 (/ (* x (- z y)) z))
(* -1 x)
(* x (+ y z))
(* x z)
(* x (+ 1 (/ y z)))
(/ (* x (- y z)) z)
(* -1 (* x (- (* -1 (/ y z)) 1)))
x
(+ x (/ (* x y) z))
1
(+ 1 (* -1 (/ y z)))
(+ 1 (* y (- (/ y (pow z 2)) (/ 1 z))))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow z 3))) (/ 1 (pow z 2)))) (/ 1 z))))
z
(+ y z)
(+ (* -1 x) (/ (* x y) z))
(+ (* x y) (* x z))
(/ y z)
(* -1 y)
(* -1 z)
(+ (* -1 y) (* -1 z))
(+ (* -1 z) (* y (- (* -1 (/ y z)) 1)))
(+ (* -1 z) (* y (- (* y (- (* -1 (/ y (pow z 2))) (/ 1 z))) 1)))
-1
(- (* -1 (/ y z)) 1)
(- (* y (- (* -1 (/ y (pow z 2))) (/ 1 z))) 1)
(- (* y (- (* y (- (* -1 (/ y (pow z 3))) (/ 1 (pow z 2)))) (/ 1 z))) 1)
(/ (* x y) z)
(* y (+ (/ x y) (/ x z)))
(/ z y)
(/ (+ z (* -1 (/ (pow z 2) y))) y)
(/ (- (+ z (/ (pow z 3) (pow y 2))) (/ (pow z 2) y)) y)
(/ (- (+ z (* -1 (/ (pow z 4) (pow y 3)))) (+ (* -1 (/ (pow z 3) (pow y 2))) (/ (pow z 2) y))) y)
y
(* y (+ 1 (/ z y)))
(* y (+ (* -1 (/ x y)) (/ x z)))
(* x y)
(* y (+ x (/ (* x z) y)))
(/ (pow z 2) y)
(/ (+ (/ (pow z 3) y) (pow z 2)) y)
(/ (- (+ (/ (pow z 4) (pow y 2)) (pow z 2)) (* -1 (/ (pow z 3) y))) y)
(/ (- (+ (/ (pow z 5) (pow y 3)) (pow z 2)) (+ (* -1 (/ (pow z 3) y)) (* -1 (/ (pow z 4) (pow y 2))))) y)
(/ (+ z (/ (pow z 2) y)) y)
(/ (- (+ z (/ (pow z 3) (pow y 2))) (* -1 (/ (pow z 2) y))) y)
(/ (- (+ z (/ (pow z 4) (pow y 3))) (+ (* -1 (/ (pow z 2) y)) (* -1 (/ (pow z 3) (pow y 2))))) y)
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 (/ (+ (* -1 z) (/ (pow z 2) y)) y))
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (/ (pow z 3) y) (pow z 2)) y))) y))
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (* -1 (/ (- (/ (pow z 4) y) (pow z 3)) y)) (pow z 2)) y))) y))
(* -1 (* y (- (* -1 (/ z y)) 1)))
(* -1 (* y (+ (* -1 (/ x z)) (/ x y))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(* -1 (/ (+ (* -1 (/ (pow z 3) y)) (* -1 (pow z 2))) y))
(* -1 (/ (+ (* -1 (/ (+ (/ (pow z 4) y) (pow z 3)) y)) (* -1 (pow z 2))) y))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow z 5) y)) (* -1 (pow z 4))) y)) (pow z 3)) y)) (* -1 (pow z 2))) y))
(* -1 (/ (+ (* -1 z) (* -1 (/ (pow z 2) y))) y))
(* -1 (/ (+ (* -1 z) (* -1 (/ (+ (/ (pow z 3) y) (pow z 2)) y))) y))
(* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow z 4) y)) (* -1 (pow z 3))) y)) (pow z 2)) y))) y))
(/ (+ (* x y) (* x z)) z)
(* z (+ (* -1 (/ z (pow y 2))) (/ 1 y)))
(* z (+ (* z (- (/ z (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(* z (+ (* z (- (* z (+ (* -1 (/ z (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(/ (+ (* -1 (* x z)) (* x y)) z)
(* (pow z 2) (+ (/ 1 y) (/ z (pow y 2))))
(* (pow z 2) (+ (* z (+ (/ 1 (pow y 2)) (/ z (pow y 3)))) (/ 1 y)))
(* (pow z 2) (+ (* z (+ (* z (+ (/ 1 (pow y 3)) (/ z (pow y 4)))) (/ 1 (pow y 2)))) (/ 1 y)))
(* z (+ (/ 1 y) (/ z (pow y 2))))
(* z (+ (* z (+ (/ 1 (pow y 2)) (/ z (pow y 3)))) (/ 1 y)))
(* z (+ (* z (+ (* z (+ (/ 1 (pow y 3)) (/ z (pow y 4)))) (/ 1 (pow y 2)))) (/ 1 y)))
(- (+ 1 (/ (pow y 2) (pow z 2))) (/ y z))
(- (+ 1 (* -1 (/ (pow y 3) (pow z 3)))) (+ (* -1 (/ (pow y 2) (pow z 2))) (/ y z)))
(* z (+ 1 (/ y z)))
(* z (+ x (/ (* x y) z)))
(* z (- (* -1 (/ y z)) 1))
(* z (- (* -1 (/ (pow y 2) (pow z 2))) (+ 1 (/ y z))))
(* z (- (* -1 (/ (pow y 3) (pow z 3))) (+ 1 (+ (/ y z) (/ (pow y 2) (pow z 2))))))
(- (* -1 (/ (pow y 2) (pow z 2))) (+ 1 (/ y z)))
(- (* -1 (/ (pow y 3) (pow z 3))) (+ 1 (+ (/ y z) (/ (pow y 2) (pow z 2)))))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) z)) (* -1 y)) z)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) z)) (* -1 (pow y 2))) z)) (* -1 y)) z)))
(* -1 (* z (- (* -1 (/ y z)) 1)))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(* -1 (* z (+ 1 (/ y z))))
(* -1 (* z (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) z)) y) z)))))
(* -1 (* z (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) z) (* -1 (pow y 2))) z)) y) z)))))
(- (* -1 (/ (- (/ (pow y 2) z) (* -1 y)) z)) 1)
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) z)) (pow y 2)) z)) (* -1 y)) z)) 1)

Calls

9 calls:

Time	Variable		Point	Expression
23.0ms	y	@	-inf	((/ x (/ z (+ z y))) (/ (* x (+ y z)) z) (/ z (+ z y)) (+ z y) (/ (- (* 0 (/ z (- z y))) (* z x)) (* z (/ z (- z y)))) (neg x) (/ (* x (+ y z)) z) (* x (+ y z)) (* z x) (* (neg y) (/ -1 z)) (/ (* x (+ y z)) z) (+ (* (* (neg y) (/ -1 z)) x) x) (neg y) (/ (* z x) (* (/ z (- y z)) z)) (* (/ z (- y z)) z) (/ z (- y z)))
7.0ms	z	@	0	((/ x (/ z (+ z y))) (/ (* x (+ y z)) z) (/ z (+ z y)) (+ z y) (/ (- (* 0 (/ z (- z y))) (* z x)) (* z (/ z (- z y)))) (neg x) (/ (* x (+ y z)) z) (* x (+ y z)) (* z x) (* (neg y) (/ -1 z)) (/ (* x (+ y z)) z) (+ (* (* (neg y) (/ -1 z)) x) x) (neg y) (/ (* z x) (* (/ z (- y z)) z)) (* (/ z (- y z)) z) (/ z (- y z)))
2.0ms	x	@	-inf	((/ x (/ z (+ z y))) (/ (* x (+ y z)) z) (/ z (+ z y)) (+ z y) (/ (- (* 0 (/ z (- z y))) (* z x)) (* z (/ z (- z y)))) (neg x) (/ (* x (+ y z)) z) (* x (+ y z)) (* z x) (* (neg y) (/ -1 z)) (/ (* x (+ y z)) z) (+ (* (* (neg y) (/ -1 z)) x) x) (neg y) (/ (* z x) (* (/ z (- y z)) z)) (* (/ z (- y z)) z) (/ z (- y z)))
2.0ms	y	@	inf	((/ x (/ z (+ z y))) (/ (* x (+ y z)) z) (/ z (+ z y)) (+ z y) (/ (- (* 0 (/ z (- z y))) (* z x)) (* z (/ z (- z y)))) (neg x) (/ (* x (+ y z)) z) (* x (+ y z)) (* z x) (* (neg y) (/ -1 z)) (/ (* x (+ y z)) z) (+ (* (* (neg y) (/ -1 z)) x) x) (neg y) (/ (* z x) (* (/ z (- y z)) z)) (* (/ z (- y z)) z) (/ z (- y z)))
2.0ms	x	@	0	((/ x (/ z (+ z y))) (/ (* x (+ y z)) z) (/ z (+ z y)) (+ z y) (/ (- (* 0 (/ z (- z y))) (* z x)) (* z (/ z (- z y)))) (neg x) (/ (* x (+ y z)) z) (* x (+ y z)) (* z x) (* (neg y) (/ -1 z)) (/ (* x (+ y z)) z) (+ (* (* (neg y) (/ -1 z)) x) x) (neg y) (/ (* z x) (* (/ z (- y z)) z)) (* (/ z (- y z)) z) (/ z (- y z)))

simplify187.0ms (3.1%)

Memory

9.5MiB live, 162.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	299	1076
1	1056	1011
2	3545	935
0	8397	876

Stop Event

1×	iter limit
1×	node limit

Counts

88 → 85

Calls

Call 1

Inputs
(/ (* x (+ y z)) z)
(* -1 (/ (* x (- z y)) z))
(* -1 x)
(* x (+ y z))
(* x z)
(* x (+ 1 (/ y z)))
(/ (* x (- y z)) z)
(* -1 (* x (- (* -1 (/ y z)) 1)))
x
(+ x (/ (* x y) z))
1
(+ 1 (* -1 (/ y z)))
(+ 1 (* y (- (/ y (pow z 2)) (/ 1 z))))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow z 3))) (/ 1 (pow z 2)))) (/ 1 z))))
z
(+ y z)
(+ (* -1 x) (/ (* x y) z))
(+ (* x y) (* x z))
(/ y z)
(* -1 y)
(* -1 z)
(+ (* -1 y) (* -1 z))
(+ (* -1 z) (* y (- (* -1 (/ y z)) 1)))
(+ (* -1 z) (* y (- (* y (- (* -1 (/ y (pow z 2))) (/ 1 z))) 1)))
-1
(- (* -1 (/ y z)) 1)
(- (* y (- (* -1 (/ y (pow z 2))) (/ 1 z))) 1)
(- (* y (- (* y (- (* -1 (/ y (pow z 3))) (/ 1 (pow z 2)))) (/ 1 z))) 1)
(/ (* x y) z)
(* y (+ (/ x y) (/ x z)))
(/ z y)
(/ (+ z (* -1 (/ (pow z 2) y))) y)
(/ (- (+ z (/ (pow z 3) (pow y 2))) (/ (pow z 2) y)) y)
(/ (- (+ z (* -1 (/ (pow z 4) (pow y 3)))) (+ (* -1 (/ (pow z 3) (pow y 2))) (/ (pow z 2) y))) y)
y
(* y (+ 1 (/ z y)))
(* y (+ (* -1 (/ x y)) (/ x z)))
(* x y)
(* y (+ x (/ (* x z) y)))
(/ (pow z 2) y)
(/ (+ (/ (pow z 3) y) (pow z 2)) y)
(/ (- (+ (/ (pow z 4) (pow y 2)) (pow z 2)) (* -1 (/ (pow z 3) y))) y)
(/ (- (+ (/ (pow z 5) (pow y 3)) (pow z 2)) (+ (* -1 (/ (pow z 3) y)) (* -1 (/ (pow z 4) (pow y 2))))) y)
(/ (+ z (/ (pow z 2) y)) y)
(/ (- (+ z (/ (pow z 3) (pow y 2))) (* -1 (/ (pow z 2) y))) y)
(/ (- (+ z (/ (pow z 4) (pow y 3))) (+ (* -1 (/ (pow z 2) y)) (* -1 (/ (pow z 3) (pow y 2))))) y)
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 (/ (+ (* -1 z) (/ (pow z 2) y)) y))
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (/ (pow z 3) y) (pow z 2)) y))) y))
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (* -1 (/ (- (/ (pow z 4) y) (pow z 3)) y)) (pow z 2)) y))) y))
(* -1 (* y (- (* -1 (/ z y)) 1)))
(* -1 (* y (+ (* -1 (/ x z)) (/ x y))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(* -1 (/ (+ (* -1 (/ (pow z 3) y)) (* -1 (pow z 2))) y))
(* -1 (/ (+ (* -1 (/ (+ (/ (pow z 4) y) (pow z 3)) y)) (* -1 (pow z 2))) y))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow z 5) y)) (* -1 (pow z 4))) y)) (pow z 3)) y)) (* -1 (pow z 2))) y))
(* -1 (/ (+ (* -1 z) (* -1 (/ (pow z 2) y))) y))
(* -1 (/ (+ (* -1 z) (* -1 (/ (+ (/ (pow z 3) y) (pow z 2)) y))) y))
(* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow z 4) y)) (* -1 (pow z 3))) y)) (pow z 2)) y))) y))
(/ (+ (* x y) (* x z)) z)
(* z (+ (* -1 (/ z (pow y 2))) (/ 1 y)))
(* z (+ (* z (- (/ z (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(* z (+ (* z (- (* z (+ (* -1 (/ z (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(/ (+ (* -1 (* x z)) (* x y)) z)
(* (pow z 2) (+ (/ 1 y) (/ z (pow y 2))))
(* (pow z 2) (+ (* z (+ (/ 1 (pow y 2)) (/ z (pow y 3)))) (/ 1 y)))
(* (pow z 2) (+ (* z (+ (* z (+ (/ 1 (pow y 3)) (/ z (pow y 4)))) (/ 1 (pow y 2)))) (/ 1 y)))
(* z (+ (/ 1 y) (/ z (pow y 2))))
(* z (+ (* z (+ (/ 1 (pow y 2)) (/ z (pow y 3)))) (/ 1 y)))
(* z (+ (* z (+ (* z (+ (/ 1 (pow y 3)) (/ z (pow y 4)))) (/ 1 (pow y 2)))) (/ 1 y)))
(- (+ 1 (/ (pow y 2) (pow z 2))) (/ y z))
(- (+ 1 (* -1 (/ (pow y 3) (pow z 3)))) (+ (* -1 (/ (pow y 2) (pow z 2))) (/ y z)))
(* z (+ 1 (/ y z)))
(* z (+ x (/ (* x y) z)))
(* z (- (* -1 (/ y z)) 1))
(* z (- (* -1 (/ (pow y 2) (pow z 2))) (+ 1 (/ y z))))
(* z (- (* -1 (/ (pow y 3) (pow z 3))) (+ 1 (+ (/ y z) (/ (pow y 2) (pow z 2))))))
(- (* -1 (/ (pow y 2) (pow z 2))) (+ 1 (/ y z)))
(- (* -1 (/ (pow y 3) (pow z 3))) (+ 1 (+ (/ y z) (/ (pow y 2) (pow z 2)))))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) z)) (* -1 y)) z)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) z)) (* -1 (pow y 2))) z)) (* -1 y)) z)))
(* -1 (* z (- (* -1 (/ y z)) 1)))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(* -1 (* z (+ 1 (/ y z))))
(* -1 (* z (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) z)) y) z)))))
(* -1 (* z (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) z) (* -1 (pow y 2))) z)) y) z)))))
(- (* -1 (/ (- (/ (pow y 2) z) (* -1 y)) z)) 1)
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) z)) (pow y 2)) z)) (* -1 y)) z)) 1)

Outputs
(/ (* x (+ y z)) z)
(fma.f64 (/.f64 y z) x x)
(* -1 (/ (* x (- z y)) z))
(*.f64 (/.f64 (-.f64 y z) z) x)
(* -1 x)
(neg.f64 x)
(* x (+ y z))
(*.f64 (+.f64 y z) x)
(* x z)
(*.f64 z x)
(* x (+ 1 (/ y z)))
(fma.f64 (/.f64 y z) x x)
(/ (* x (- y z)) z)
(*.f64 (/.f64 (-.f64 y z) z) x)
(* -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)
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y z)))
(/.f64 (-.f64 z y) z)
(+ 1 (* y (- (/ y (pow z 2)) (/ 1 z))))
(fma.f64 (/.f64 y z) (/.f64 (-.f64 y z) z) #s(literal 1 binary64))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow z 3))) (/ 1 (pow z 2)))) (/ 1 z))))
(fma.f64 (/.f64 (/.f64 (-.f64 y z) z) z) y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64))))
z
(+ y z)
(+.f64 y z)
(+ (* -1 x) (/ (* x y) z))
(*.f64 (/.f64 (-.f64 y z) z) x)
(+ (* x y) (* x z))
(*.f64 (+.f64 y z) x)
(/ y z)
(/.f64 y z)
(* -1 y)
(neg.f64 y)
(* -1 z)
(neg.f64 z)
(+ (* -1 y) (* -1 z))
(-.f64 (neg.f64 z) y)
(+ (* -1 z) (* y (- (* -1 (/ y z)) 1)))
(fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 y z)) y (neg.f64 z))
(+ (* -1 z) (* y (- (* y (- (* -1 (/ y (pow z 2))) (/ 1 z))) 1)))
(fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 y z)) z) y #s(literal -1 binary64)) y (neg.f64 z))
-1
#s(literal -1 binary64)
(- (* -1 (/ y z)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 y z))
(- (* y (- (* -1 (/ y (pow z 2))) (/ 1 z))) 1)
(fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 y z)) z) y #s(literal -1 binary64))
(- (* y (- (* y (- (* -1 (/ y (pow z 3))) (/ 1 (pow z 2)))) (/ 1 z))) 1)
(-.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 y z)) z) y #s(literal -1 binary64)) (pow.f64 (/.f64 y z) #s(literal 3 binary64)))
(/ (* x y) z)
(*.f64 (/.f64 y z) x)
(* y (+ (/ x y) (/ x z)))
(*.f64 (+.f64 (/.f64 x z) (/.f64 x y)) y)
(/ z y)
(/.f64 z y)
(/ (+ z (* -1 (/ (pow z 2) y))) y)
(/.f64 (fma.f64 (/.f64 z y) (neg.f64 z) z) y)
(/ (- (+ z (/ (pow z 3) (pow y 2))) (/ (pow z 2) y)) y)
(/.f64 (fma.f64 (/.f64 z y) (fma.f64 (/.f64 z y) z (neg.f64 z)) z) y)
(/ (- (+ z (* -1 (/ (pow z 4) (pow y 3)))) (+ (* -1 (/ (pow z 3) (pow y 2))) (/ (pow z 2) y))) y)
(/.f64 (-.f64 z (/.f64 (fma.f64 z z (/.f64 (-.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) y) (pow.f64 z #s(literal 3 binary64))) y)) y)) y)
y
(* y (+ 1 (/ z y)))
(fma.f64 (/.f64 z y) y y)
(* y (+ (* -1 (/ x y)) (/ x z)))
(*.f64 (-.f64 (/.f64 x z) (/.f64 x y)) y)
(* x y)
(*.f64 y x)
(* y (+ x (/ (* x z) y)))
(*.f64 (fma.f64 (/.f64 z y) x x) y)
(/ (pow z 2) y)
(*.f64 (/.f64 z y) z)
(/ (+ (/ (pow z 3) y) (pow z 2)) y)
(/.f64 (fma.f64 z z (/.f64 (pow.f64 z #s(literal 3 binary64)) y)) y)
(/ (- (+ (/ (pow z 4) (pow y 2)) (pow z 2)) (* -1 (/ (pow z 3) y))) y)
(/.f64 (fma.f64 z z (/.f64 (+.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) y) (pow.f64 z #s(literal 3 binary64))) y)) y)
(/ (- (+ (/ (pow z 5) (pow y 3)) (pow z 2)) (+ (* -1 (/ (pow z 3) y)) (* -1 (/ (pow z 4) (pow y 2))))) y)
(/.f64 (fma.f64 z z (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (pow.f64 z #s(literal 5 binary64)) y) (pow.f64 z #s(literal 4 binary64))) y) (pow.f64 z #s(literal 3 binary64))) y)) y)
(/ (+ z (/ (pow z 2) y)) y)
(/.f64 (fma.f64 (/.f64 z y) z z) y)
(/ (- (+ z (/ (pow z 3) (pow y 2))) (* -1 (/ (pow z 2) y))) y)
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 z y) z z) y) z z) y)
(/ (- (+ z (/ (pow z 4) (pow y 3))) (+ (* -1 (/ (pow z 2) y)) (* -1 (/ (pow z 3) (pow y 2))))) y)
(/.f64 (+.f64 (/.f64 (fma.f64 z z (/.f64 (+.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) y) (pow.f64 z #s(literal 3 binary64))) y)) y) z) y)
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(*.f64 (+.f64 (/.f64 x z) (/.f64 x y)) y)
(* -1 (/ (+ (* -1 z) (/ (pow z 2) y)) y))
(/.f64 (fma.f64 (/.f64 z y) (neg.f64 z) z) y)
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (/ (pow z 3) y) (pow z 2)) y))) y))
(/.f64 (fma.f64 (/.f64 z y) (fma.f64 (/.f64 z y) z (neg.f64 z)) z) y)
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (* -1 (/ (- (/ (pow z 4) y) (pow z 3)) y)) (pow z 2)) y))) y))
(/.f64 (-.f64 z (/.f64 (fma.f64 z z (/.f64 (-.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) y) (pow.f64 z #s(literal 3 binary64))) y)) y)) y)
(* -1 (* y (- (* -1 (/ z y)) 1)))
(fma.f64 (/.f64 z y) y y)
(* -1 (* y (+ (* -1 (/ x z)) (/ x y))))
(*.f64 (-.f64 (/.f64 x z) (/.f64 x y)) y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(*.f64 (fma.f64 (/.f64 z y) x x) y)
(* -1 (/ (+ (* -1 (/ (pow z 3) y)) (* -1 (pow z 2))) y))
(/.f64 (fma.f64 z z (/.f64 (pow.f64 z #s(literal 3 binary64)) y)) y)
(* -1 (/ (+ (* -1 (/ (+ (/ (pow z 4) y) (pow z 3)) y)) (* -1 (pow z 2))) y))
(/.f64 (fma.f64 z z (/.f64 (+.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) y) (pow.f64 z #s(literal 3 binary64))) y)) y)
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow z 5) y)) (* -1 (pow z 4))) y)) (pow z 3)) y)) (* -1 (pow z 2))) y))
(/.f64 (fma.f64 z z (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (pow.f64 z #s(literal 5 binary64)) y) (pow.f64 z #s(literal 4 binary64))) y) (pow.f64 z #s(literal 3 binary64))) y)) y)
(* -1 (/ (+ (* -1 z) (* -1 (/ (pow z 2) y))) y))
(/.f64 (fma.f64 (/.f64 z y) z z) y)
(* -1 (/ (+ (* -1 z) (* -1 (/ (+ (/ (pow z 3) y) (pow z 2)) y))) y))
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 z y) z z) y) z z) y)
(* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow z 4) y)) (* -1 (pow z 3))) y)) (pow z 2)) y))) y))
(/.f64 (+.f64 (/.f64 (fma.f64 z z (/.f64 (+.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) y) (pow.f64 z #s(literal 3 binary64))) y)) y) z) y)
(/ (+ (* x y) (* x z)) z)
(fma.f64 (/.f64 y z) x x)
(* z (+ (* -1 (/ z (pow y 2))) (/ 1 y)))
(/.f64 (fma.f64 (/.f64 z y) (neg.f64 z) z) y)
(* z (+ (* z (- (/ z (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(fma.f64 (/.f64 (+.f64 (/.f64 z y) #s(literal -1 binary64)) (.f64 y y)) (.f64 z z) (/.f64 z y))
(* z (+ (* z (- (* z (+ (* -1 (/ z (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(.f64 (fma.f64 (fma.f64 (/.f64 (neg.f64 z) (pow.f64 y #s(literal 4 binary64))) z (/.f64 (+.f64 (/.f64 z y) #s(literal -1 binary64)) (.f64 y y))) z (/.f64 #s(literal 1 binary64) y)) z)
(/ (+ (* -1 (* x z)) (* x y)) z)
(*.f64 (/.f64 (-.f64 y z) z) x)
(* (pow z 2) (+ (/ 1 y) (/ z (pow y 2))))
(/.f64 (fma.f64 z z (/.f64 (pow.f64 z #s(literal 3 binary64)) y)) y)
(* (pow z 2) (+ (* z (+ (/ 1 (pow y 2)) (/ z (pow y 3)))) (/ 1 y)))
(.f64 (.f64 (fma.f64 (/.f64 (/.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64)) y) y) z (/.f64 #s(literal 1 binary64) y)) z) z)
(* (pow z 2) (+ (* z (+ (* z (+ (/ 1 (pow y 3)) (/ z (pow y 4)))) (/ 1 (pow y 2)))) (/ 1 y)))
(.f64 (.f64 (fma.f64 (fma.f64 (/.f64 z (pow.f64 y #s(literal 4 binary64))) z (/.f64 (/.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64)) y) y)) z (/.f64 #s(literal 1 binary64) y)) z) z)
(* z (+ (/ 1 y) (/ z (pow y 2))))
(/.f64 (fma.f64 (/.f64 z y) z z) y)
(* z (+ (* z (+ (/ 1 (pow y 2)) (/ z (pow y 3)))) (/ 1 y)))
(*.f64 (fma.f64 (/.f64 (/.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64)) y) y) z (/.f64 #s(literal 1 binary64) y)) z)
(* z (+ (* z (+ (* z (+ (/ 1 (pow y 3)) (/ z (pow y 4)))) (/ 1 (pow y 2)))) (/ 1 y)))
(*.f64 (fma.f64 (fma.f64 (/.f64 z (pow.f64 y #s(literal 4 binary64))) z (/.f64 (/.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64)) y) y)) z (/.f64 #s(literal 1 binary64) y)) z)
(- (+ 1 (/ (pow y 2) (pow z 2))) (/ y z))
(fma.f64 (/.f64 y z) (/.f64 (-.f64 y z) z) #s(literal 1 binary64))
(- (+ 1 (* -1 (/ (pow y 3) (pow z 3)))) (+ (* -1 (/ (pow y 2) (pow z 2))) (/ y z)))
(fma.f64 (/.f64 (/.f64 (-.f64 y z) z) z) y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64))))
(* z (+ 1 (/ y z)))
(fma.f64 (/.f64 y z) z z)
(* z (+ x (/ (* x y) z)))
(*.f64 (fma.f64 (/.f64 y z) x x) z)
(* z (- (* -1 (/ y z)) 1))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 y z)) z)
(* z (- (* -1 (/ (pow y 2) (pow z 2))) (+ 1 (/ y z))))
(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 y z)) z) y #s(literal -1 binary64)) z)
(* z (- (* -1 (/ (pow y 3) (pow z 3))) (+ 1 (+ (/ y z) (/ (pow y 2) (pow z 2))))))
(neg.f64 (fma.f64 (/.f64 (+.f64 (/.f64 (fma.f64 y y (/.f64 (pow.f64 y #s(literal 3 binary64)) z)) z) y) z) z z))
(- (* -1 (/ (pow y 2) (pow z 2))) (+ 1 (/ y z)))
(fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 y z)) z) y #s(literal -1 binary64))
(- (* -1 (/ (pow y 3) (pow z 3))) (+ 1 (+ (/ y z) (/ (pow y 2) (pow z 2)))))
(-.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 y z)) z) y #s(literal -1 binary64)) (pow.f64 (/.f64 y z) #s(literal 3 binary64)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) z)) (* -1 y)) z)))
(fma.f64 (/.f64 y z) (/.f64 (-.f64 y z) z) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) z)) (* -1 (pow y 2))) z)) (* -1 y)) z)))
(fma.f64 (/.f64 (/.f64 (-.f64 y z) z) z) y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64))))
(* -1 (* z (- (* -1 (/ y z)) 1)))
(fma.f64 (/.f64 y z) z z)
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(*.f64 (fma.f64 (/.f64 y z) x x) z)
(* -1 (* z (+ 1 (/ y z))))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 y z)) z)
(* -1 (* z (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) z)) y) z)))))
(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 y z)) z) y #s(literal -1 binary64)) z)
(* -1 (* z (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) z) (* -1 (pow y 2))) z)) y) z)))))
(neg.f64 (fma.f64 (/.f64 (+.f64 (/.f64 (fma.f64 y y (/.f64 (pow.f64 y #s(literal 3 binary64)) z)) z) y) z) z z))
(- (* -1 (/ (- (/ (pow y 2) z) (* -1 y)) z)) 1)
(fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 y z)) z) y #s(literal -1 binary64))
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) z)) (pow y 2)) z)) (* -1 y)) z)) 1)
(-.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 y z)) z) y #s(literal -1 binary64)) (pow.f64 (/.f64 y z) #s(literal 3 binary64)))

rewrite335.0ms (5.6%)

Memory

-36.5MiB live, 286.8MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	134
0	48	124
1	217	122
2	1605	105
0	8792	105

Stop Event

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

Counts

16 → 815

Calls

Call 1

Inputs
(/.f64 x (/.f64 z (+.f64 z y)))
#s(approx (/ (* x (+ y z)) z) (/.f64 x (/.f64 z (+.f64 z y))))
(/.f64 z (+.f64 z y))
(+.f64 z y)
#s(approx (/ (- (* 0 (/ z (- z y))) (* z x)) (* z (/ z (- z y)))) (neg.f64 x))
(neg.f64 x)
(/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z)
#s(approx (* x (+ y z)) (*.f64 z x))
(*.f64 z x)
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z))
#s(approx (/ (* x (+ y z)) z) (fma.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z)) x x))
(fma.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z)) x x)
(neg.f64 y)
(/.f64 (.f64 z x) (.f64 (/.f64 z (-.f64 y z)) z))
(*.f64 (/.f64 z (-.f64 y z)) z)
(/.f64 z (-.f64 y z))

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

eval169.0ms (2.8%)

Memory: 7.2MiB live, 162.3MiB allocated
Compiler: Compiled 16 929 to 2 416 computations (85.7% saved)

prune33.0ms (0.6%)

Memory

5.8MiB live, 54.1MiB allocated

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	748	5	753
Fresh	2	2	4
Picked	4	1	5
Done	0	2	2
Total	754	10	764

Accuracy

100.0%

Counts

764 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	44.3%	(/.f64 (-.f64 y z) (/.f64 z x))
	32.8%	(/.f64 (.f64 z x) #s(approx ( (/ z (- y z)) z) (*.f64 (/.f64 z y) z)))
	19.8%	(/.f64 #s(approx (* (pow (* (- z y) x) 2) -1) (.f64 (.f64 (.f64 y y) x) (neg.f64 x))) (.f64 (*.f64 (-.f64 z y) x) z))
✓	44.4%	(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
✓	2.9%	#s(approx (/ (- (* 0 (/ z (- z y))) (* z x)) (* z (/ z (- z y)))) (neg.f64 x))
✓	96.9%	#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))
▶	45.7%	#s(approx (/ (* x (+ y z)) z) (/.f64 x #s(approx (/ z (+ z y)) (/.f64 z y))))
▶	52.7%	#s(approx (/ (* x (+ y z)) z) (/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64))))
▶	44.4%	#s(approx (/ (* x (+ y z)) z) (*.f64 (/.f64 x z) y))
▶	45.5%	#s(approx (/ (* x (+ y z)) z) #s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 y z) x)))

Compiler

Compiled 287 to 192 computations (33.1% saved)

simplify87.0ms (1.5%)

Memory

13.7MiB live, 52.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 z x)
cost-diff	0	(-.f64 y z)
cost-diff	384	(/.f64 (-.f64 y z) (/.f64 z x))
cost-diff	0	(/.f64 z y)
cost-diff	0	#s(approx (/ z (+ z y)) (/.f64 z y))
cost-diff	0	(/.f64 x #s(approx (/ z (+ z y)) (/.f64 z y)))
cost-diff	0	#s(approx (/ (* x (+ y z)) z) (/.f64 x #s(approx (/ z (+ z y)) (/.f64 z y))))
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 y z)
cost-diff	0	(*.f64 (/.f64 y z) x)
cost-diff	0	#s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 y z) x))
cost-diff	0	#s(approx (/ (* x (+ y z)) z) #s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 y z) x)))
cost-diff	0	#s(approx (/ z (+ z y)) #s(literal 1 binary64))
cost-diff	0	(/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64)))
cost-diff	0	#s(approx (/ (* x (+ y z)) z) (/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	165
0	37	165
1	62	165
2	104	165
3	200	165
4	388	165
5	1604	165
6	5808	165
7	7540	165
0	8101	159

Stop Event

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

Calls

Call 1

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

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

localize107.0ms (1.8%)

Memory

-3.9MiB live, 71.4MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 z x)
accuracy	0	(-.f64 y z)
accuracy	9.086958621772096	(/.f64 (-.f64 y z) (/.f64 z x))
accuracy	0	(/.f64 z y)
accuracy	0	#s(approx (/ (* x (+ y z)) z) (/.f64 x #s(approx (/ z (+ z y)) (/.f64 z y))))
accuracy	1.8672343281651338	(/.f64 x #s(approx (/ z (+ z y)) (/.f64 z y)))
accuracy	33.33659630893773	#s(approx (/ z (+ z y)) (/.f64 z y))
accuracy	0	(/.f64 x z)
accuracy	5.990496702370858	(*.f64 (/.f64 x z) y)
accuracy	32.90370381793973	#s(approx (/ (* x (+ y z)) z) (*.f64 (/.f64 x z) y))
accuracy	0	(/.f64 y z)
accuracy	0	#s(approx (/ (* x (+ y z)) z) #s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 y z) x)))
accuracy	5.038428247118046	(*.f64 (/.f64 y z) x)
accuracy	32.90370381793973	#s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 y z) x))
accuracy	0	#s(approx (/ (* x (+ y z)) z) (/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64))))
accuracy	1.8672343281651338	(/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64)))
accuracy	30.27460586295236	#s(approx (/ z (+ z y)) #s(literal 1 binary64))

Samples

94.0ms

256×

valid

Compiler

Compiled 272 to 47 computations (82.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-div: 13.0ms (59.4% of total)

ival-mult: 5.0ms (22.9% of total)

ival-add: 3.0ms (13.7% of total)

ival-sub: 1.0ms (4.6% of total)

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

exact: 0.0ms (0% of total)

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

series23.0ms (0.4%)

Memory

-13.9MiB live, 29.5MiB allocated

Counts

17 → 42

Calls

Call 1

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

Outputs
(/ (* x (+ y z)) z)
(/ (* x y) z)
(/ x z)
(/ (* x (- y z)) z)
(/ z x)
x
(+ x (/ (* x y) z))
1
(+ 1 (* -1 (/ y z)))
(+ 1 (* y (- (/ y (pow z 2)) (/ 1 z))))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow z 3))) (/ 1 (pow z 2)))) (/ 1 z))))
(/ y z)
(/ z y)
(* -1 x)
(+ (* -1 x) (/ (* x y) z))
(* -1 z)
(- y z)
(* y (+ (/ x y) (/ x z)))
(/ (+ z (* -1 (/ (pow z 2) y))) y)
(/ (- (+ z (/ (pow z 3) (pow y 2))) (/ (pow z 2) y)) y)
(/ (- (+ z (* -1 (/ (pow z 4) (pow y 3)))) (+ (* -1 (/ (pow z 3) (pow y 2))) (/ (pow z 2) y))) y)
(* y (+ (* -1 (/ x y)) (/ x z)))
y
(* y (+ 1 (* -1 (/ z y))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 (/ (+ (* -1 z) (/ (pow z 2) y)) y))
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (/ (pow z 3) y) (pow z 2)) y))) y))
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (* -1 (/ (- (/ (pow z 4) y) (pow z 3)) y)) (pow z 2)) y))) y))
(* -1 (* y (+ (* -1 (/ x z)) (/ x y))))
(* -1 (* y (- (/ z y) 1)))
(/ (+ (* x y) (* x z)) z)
(* z (+ (* -1 (/ z (pow y 2))) (/ 1 y)))
(* z (+ (* z (- (/ z (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(* z (+ (* z (- (* z (+ (* -1 (/ z (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(/ (+ (* -1 (* x z)) (* x y)) z)
(+ y (* -1 z))
(- (+ 1 (/ (pow y 2) (pow z 2))) (/ y z))
(- (+ 1 (* -1 (/ (pow y 3) (pow z 3)))) (+ (* -1 (/ (pow y 2) (pow z 2))) (/ y z)))
(* z (- (/ y z) 1))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) z)) (* -1 y)) z)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) z)) (* -1 (pow y 2))) z)) (* -1 y)) z)))
(* -1 (* z (+ 1 (* -1 (/ y z)))))

Calls

9 calls:

Time	Variable		Point	Expression
10.0ms	z	@	inf	((/ (* x (+ y z)) z) (/ x (/ z (+ z y))) (/ z (+ z y)) (/ (* x (+ y z)) z) (/ x (/ z (+ z y))) (* (/ y z) x) (/ y z) (/ (* x (+ y z)) z) (* (/ x z) y) (/ x z) (/ (* x (+ y z)) z) (/ x (/ z (+ z y))) (/ z (+ z y)) (/ z y) (/ (- y z) (/ z x)) (- y z) (/ z x))
2.0ms	z	@	-inf	((/ (* x (+ y z)) z) (/ x (/ z (+ z y))) (/ z (+ z y)) (/ (* x (+ y z)) z) (/ x (/ z (+ z y))) (* (/ y z) x) (/ y z) (/ (* x (+ y z)) z) (* (/ x z) y) (/ x z) (/ (* x (+ y z)) z) (/ x (/ z (+ z y))) (/ z (+ z y)) (/ z y) (/ (- y z) (/ z x)) (- y z) (/ z x))
2.0ms	z	@	0	((/ (* x (+ y z)) z) (/ x (/ z (+ z y))) (/ z (+ z y)) (/ (* x (+ y z)) z) (/ x (/ z (+ z y))) (* (/ y z) x) (/ y z) (/ (* x (+ y z)) z) (* (/ x z) y) (/ x z) (/ (* x (+ y z)) z) (/ x (/ z (+ z y))) (/ z (+ z y)) (/ z y) (/ (- y z) (/ z x)) (- y z) (/ z x))
2.0ms	x	@	-inf	((/ (* x (+ y z)) z) (/ x (/ z (+ z y))) (/ z (+ z y)) (/ (* x (+ y z)) z) (/ x (/ z (+ z y))) (* (/ y z) x) (/ y z) (/ (* x (+ y z)) z) (* (/ x z) y) (/ x z) (/ (* x (+ y z)) z) (/ x (/ z (+ z y))) (/ z (+ z y)) (/ z y) (/ (- y z) (/ z x)) (- y z) (/ z x))
2.0ms	y	@	-inf	((/ (* x (+ y z)) z) (/ x (/ z (+ z y))) (/ z (+ z y)) (/ (* x (+ y z)) z) (/ x (/ z (+ z y))) (* (/ y z) x) (/ y z) (/ (* x (+ y z)) z) (* (/ x z) y) (/ x z) (/ (* x (+ y z)) z) (/ x (/ z (+ z y))) (/ z (+ z y)) (/ z y) (/ (- y z) (/ z x)) (- y z) (/ z x))

simplify200.0ms (3.3%)

Memory

-14.5MiB live, 194.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	156	386
1	503	368
2	1593	340
3	5857	340
0	8199	323

Stop Event

1×	iter limit
1×	node limit

Counts

42 → 40

Calls

Call 1

Inputs
(/ (* x (+ y z)) z)
(/ (* x y) z)
(/ x z)
(/ (* x (- y z)) z)
(/ z x)
x
(+ x (/ (* x y) z))
1
(+ 1 (* -1 (/ y z)))
(+ 1 (* y (- (/ y (pow z 2)) (/ 1 z))))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow z 3))) (/ 1 (pow z 2)))) (/ 1 z))))
(/ y z)
(/ z y)
(* -1 x)
(+ (* -1 x) (/ (* x y) z))
(* -1 z)
(- y z)
(* y (+ (/ x y) (/ x z)))
(/ (+ z (* -1 (/ (pow z 2) y))) y)
(/ (- (+ z (/ (pow z 3) (pow y 2))) (/ (pow z 2) y)) y)
(/ (- (+ z (* -1 (/ (pow z 4) (pow y 3)))) (+ (* -1 (/ (pow z 3) (pow y 2))) (/ (pow z 2) y))) y)
(* y (+ (* -1 (/ x y)) (/ x z)))
y
(* y (+ 1 (* -1 (/ z y))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 (/ (+ (* -1 z) (/ (pow z 2) y)) y))
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (/ (pow z 3) y) (pow z 2)) y))) y))
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (* -1 (/ (- (/ (pow z 4) y) (pow z 3)) y)) (pow z 2)) y))) y))
(* -1 (* y (+ (* -1 (/ x z)) (/ x y))))
(* -1 (* y (- (/ z y) 1)))
(/ (+ (* x y) (* x z)) z)
(* z (+ (* -1 (/ z (pow y 2))) (/ 1 y)))
(* z (+ (* z (- (/ z (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(* z (+ (* z (- (* z (+ (* -1 (/ z (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(/ (+ (* -1 (* x z)) (* x y)) z)
(+ y (* -1 z))
(- (+ 1 (/ (pow y 2) (pow z 2))) (/ y z))
(- (+ 1 (* -1 (/ (pow y 3) (pow z 3)))) (+ (* -1 (/ (pow y 2) (pow z 2))) (/ y z)))
(* z (- (/ y z) 1))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) z)) (* -1 y)) z)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) z)) (* -1 (pow y 2))) z)) (* -1 y)) z)))
(* -1 (* z (+ 1 (* -1 (/ y z)))))

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

rewrite144.0ms (2.4%)

Memory

-1.5MiB live, 274.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	151
0	37	151
1	141	151
2	943	151
0	8953	145

Stop Event

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

Counts

17 → 696

Calls

Call 1

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

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

eval123.0ms (2.1%)

Memory: 42.4MiB live, 155.5MiB allocated
Compiler: Compiled 13 203 to 1 828 computations (86.2% saved)

prune112.0ms (1.9%)

Memory

-30.9MiB live, 51.3MiB allocated

Pruning

10 alts after pruning (3 fresh and 7 done)

	Pruned	Kept	Total
New	648	3	651
Fresh	2	0	2
Picked	1	4	5
Done	0	3	3
Total	651	10	661

Accuracy

100.0%

Counts

661 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	44.4%	(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
✓	2.9%	#s(approx (/ (- (* 0 (/ z (- z y))) (* z x)) (* z (/ z (- z y)))) (neg.f64 x))
✓	96.9%	#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))
✓	45.7%	#s(approx (/ (* x (+ y z)) z) (/.f64 x #s(approx (/ z (+ z y)) (/.f64 z y))))
	45.6%	#s(approx (/ (* x (+ y z)) z) (/.f64 x #s(approx (/ z (+ z y)) (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z)))))
✓	52.7%	#s(approx (/ (* x (+ y z)) z) (/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64))))
✓	44.4%	#s(approx (/ (* x (+ y z)) z) (*.f64 (/.f64 x z) y))
	45.5%	#s(approx (/ (* x (+ y z)) z) #s(approx (/ x (/ z (+ z y))) (/.f64 (/.f64 (neg.f64 y) z) (/.f64 #s(literal -1 binary64) x))))
	45.3%	#s(approx (/ (* x (+ y z)) z) #s(approx (/ x (/ z (+ z y))) (/.f64 y (/.f64 z x))))
✓	45.5%	#s(approx (/ (* x (+ y z)) z) #s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 y z) x)))

Compiler

Compiled 570 to 235 computations (58.8% saved)

regimes49.0ms (0.8%)

Memory

15.2MiB live, 54.1MiB allocated

Counts

25 → 1

Calls

Call 1

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

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

Calls

4 calls:

26.0ms	y
7.0ms	z
7.0ms	x
7.0ms	(/.f64 (*.f64 x (+.f64 y z)) z)

Results

Accuracy	Segments	Branch
97.1%	1	`x`
97.1%	1	`y`
97.1%	1	`z`
97.1%	1	`(/.f64 (*.f64 x (+.f64 y z)) z)`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes29.0ms (0.5%)

Memory

-5.9MiB live, 33.3MiB allocated

Counts

13 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (* 0 (/ z (- z y))) (* z x)) (* z (/ z (- z y)))) (neg.f64 x))
#s(approx (/ (* x (+ y z)) z) (/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64))))
#s(approx (/ (* x (+ y z)) z) #s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 y z) x)))
#s(approx (/ (* x (+ y z)) z) (*.f64 (/.f64 x z) y))
(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
(/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z)
#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))
(/.f64 (*.f64 x (+.f64 y z)) z)
#s(approx (/ (* x (+ y z)) z) #s(approx (/ x (/ z (+ z y))) (/.f64 y (/.f64 z x))))
#s(approx (/ (* x (+ y z)) z) (/.f64 x #s(approx (/ z (+ z y)) (/.f64 z y))))
(fma.f64 y (/.f64 x z) (*.f64 x #s(literal 1 binary64)))
(.f64 (neg.f64 #s(approx ( x (+ y z)) (*.f64 y x))) (/.f64 #s(literal -1 binary64) z))
#s(approx (/ (* x (+ y z)) z) (fma.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z)) x x))

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

Calls

4 calls:

15.0ms	(/.f64 (*.f64 x (+.f64 y z)) z)
4.0ms	z
4.0ms	y
4.0ms	x

Results

Accuracy	Segments	Branch
96.9%	1	`x`
96.9%	1	`(/.f64 (*.f64 x (+.f64 y z)) z)`
96.9%	1	`y`
96.9%	1	`z`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes11.0ms (0.2%)

Memory

19.7MiB live, 19.7MiB allocated

Counts

6 → 3

Calls

Call 1

Inputs
#s(approx (/ (- (* 0 (/ z (- z y))) (* z x)) (* z (/ z (- z y)))) (neg.f64 x))
#s(approx (/ (* x (+ y z)) z) (/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64))))
#s(approx (/ (* x (+ y z)) z) #s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 y z) x)))
#s(approx (/ (* x (+ y z)) z) (*.f64 (/.f64 x z) y))
(/.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 x #s(approx (/ z (+ z y)) #s(literal 1 binary64))))

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
52.7%	1	`x`
73.3%	3	`y`
73.9%	3	`z`
71.3%	2	`(/.f64 (*.f64 x (+.f64 y z)) z)`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes2.0ms (0%)

Memory

4.6MiB live, 4.6MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs

#s(approx (/ (- (* 0 (/ z (- z y))) (* z x)) (* z (/ z (- z y)))) (neg.f64 x))

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

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

Outputs

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

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
73.5%	3	`z`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes47.0ms (0.8%)

Memory

-23.3MiB live, 25.1MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (* 0 (/ z (- z y))) (* z x)) (* z (/ z (- z y)))) (neg.f64 x))
#s(approx (/ (* x (+ y z)) z) (/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64))))

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

Calls

4 calls:

41.0ms	z
2.0ms	x
2.0ms	y
1.0ms	(/.f64 (*.f64 x (+.f64 y z)) z)

Results

Accuracy	Segments	Branch
52.7%	1	`x`
52.7%	1	`(/.f64 (*.f64 x (+.f64 y z)) z)`
52.7%	1	`y`
52.7%	1	`z`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes5.0ms (0.1%)

Memory

11.8MiB live, 11.8MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (* 0 (/ z (- z y))) (* z x)) (* z (/ z (- z y)))) (neg.f64 x))

Outputs
#s(approx (/ (- (* 0 (/ z (- z y))) (* z x)) (* z (/ z (- z y)))) (neg.f64 x))

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
2.9%	1	`y`
2.9%	1	`z`
2.9%	1	`(/.f64 (*.f64 x (+.f64 y z)) z)`
2.9%	1	`x`

Compiler

Compiled 10 to 15 computations (-50% saved)

bsearch42.0ms (0.7%)

Memory

-32.1MiB live, 45.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	2.2178874732043962e-42	1.3408609882460787e-36
18.0ms	-2.2296273422776513e+24	-5.06785411610608e+20

Samples

12.0ms

272×

valid

Compiler

Compiled 520 to 403 computations (22.5% saved)

Precisions

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

ival-div: 2.0ms (36.1% of total)

ival-add: 2.0ms (36.1% of total)

ival-mult: 2.0ms (36.1% of total)

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

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

bsearch2.0ms (0%)

Memory

5.0MiB live, 5.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.2178874732043962e-42	1.3408609882460787e-36
1.0ms	-2.2296273422776513e+24	-5.06785411610608e+20

Compiler

Compiled 656 to 471 computations (28.2% saved)

simplify66.0ms (1.1%)

Memory

-6.5MiB live, 75.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	186
1	52	186
2	54	186
3	60	186
4	75	186
5	88	186
6	111	186
7	152	186
8	210	186
9	283	186
10	355	186
11	397	186
12	407	186

Stop Event

1×

saturated

Calls

Call 1

Inputs
#s(approx (/ (* x (+ y z)) z) (/.f64 x (/.f64 z (+.f64 z y))))
#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))
(if (<=.f64 z #s(literal -105999999999999995805696 binary64)) #s(approx (/ (* x (+ y z)) z) (/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64)))) (if (<=.f64 z #s(literal 8811849359978861/191561942608236107294793378393788647952342390272950272 binary64)) #s(approx (/ (* x (+ y z)) z) (.f64 (/.f64 x z) y)) #s(approx (/ ( x (+ y z)) z) (/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64))))))
(if (<=.f64 z #s(literal -105999999999999995805696 binary64)) #s(approx (/ (* x (+ y z)) z) (/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64)))) (if (<=.f64 z #s(literal 8811849359978861/191561942608236107294793378393788647952342390272950272 binary64)) #s(approx (/ (* x (+ y z)) z) #s(approx (/ x (/ z (+ z y))) (.f64 (/.f64 y z) x))) #s(approx (/ ( x (+ y z)) z) (/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64))))))
#s(approx (/ (* x (+ y z)) z) (/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64))))
#s(approx (/ (- (* 0 (/ z (- z y))) (* z x)) (* z (/ z (- z y)))) (neg.f64 x))

Outputs
#s(approx (/ (* x (+ y z)) z) (/.f64 x (/.f64 z (+.f64 z y))))
#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))
(if (<=.f64 z #s(literal -105999999999999995805696 binary64)) #s(approx (/ (* x (+ y z)) z) (/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64)))) (if (<=.f64 z #s(literal 8811849359978861/191561942608236107294793378393788647952342390272950272 binary64)) #s(approx (/ (* x (+ y z)) z) (.f64 (/.f64 x z) y)) #s(approx (/ ( x (+ y z)) z) (/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64))))))
(if (<=.f64 z #s(literal -105999999999999995805696 binary64)) #s(approx (/ (* x (+ y z)) z) (/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64)))) (if (<=.f64 z #s(literal 8811849359978861/191561942608236107294793378393788647952342390272950272 binary64)) #s(approx (/ (* x (+ y z)) z) #s(approx (/ x (/ z (+ z y))) (.f64 (/.f64 y z) x))) #s(approx (/ ( x (+ y z)) z) (/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64))))))
#s(approx (/ (* x (+ y z)) z) (/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64))))
#s(approx (/ (- (* 0 (/ z (- z y))) (* z x)) (* z (/ z (- z y)))) (neg.f64 x))

soundness1.2s (19.9%)

Memory

0.5MiB live, 718.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	40	15
2	284	15
3	2778	15
0	9742	15
0	344	1415
1	1228	1317
2	4428	1293
0	8259	1227
0	299	1076
1	1056	1011
2	3545	935
0	8397	876
0	50	94
1	181	94
2	575	94
3	1656	94
4	3176	94
5	4897	94
6	5271	94
7	5695	94
8	6365	94
9	6817	94
0	8297	89
0	31	154
0	52	132
1	225	128
2	1426	115
0	8523	115

Stop Event

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

Compiler

Compiled 338 to 163 computations (51.8% saved)

preprocess97.0ms (1.6%)

Memory: 4.6MiB live, 123.3MiB allocated
Remove: (negabs x)
Compiler: Compiled 430 to 132 computations (69.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	44	186
1	52	186
2	54	186
3	60	186
4	75	186
5	88	186
6	111	186
7	152	186
8	210	186
9	283	186
10	355	186
11	397	186
12	407	186

Iter	Nodes	Cost
0	44	186
1	52	186
2	54	186
3	60	186
4	75	186
5	88	186
6	111	186
7	152	186
8	210	186
9	283	186
10	355	186
11	397	186
12	407	186

start0.0ms (0%)

analyze39.0ms (0.7%)

sample822.0ms (13.7%)

explain66.0ms (1.1%)

preprocess128.0ms (2.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify108.0ms (1.8%)

localize34.0ms (0.6%)

series7.0ms (0.1%)

simplify194.0ms (3.2%)

rewrite215.0ms (3.6%)

eval84.0ms (1.4%)

prune17.0ms (0.3%)

simplify156.0ms (2.6%)

localize107.0ms (1.8%)

series37.0ms (0.6%)

simplify127.0ms (2.1%)

rewrite250.0ms (4.2%)

eval184.0ms (3.1%)

prune50.0ms (0.8%)

simplify117.0ms (1.9%)

localize141.0ms (2.4%)

series45.0ms (0.7%)

simplify187.0ms (3.1%)

rewrite335.0ms (5.6%)

eval169.0ms (2.8%)

prune33.0ms (0.6%)

simplify87.0ms (1.5%)

localize107.0ms (1.8%)

series23.0ms (0.4%)

simplify200.0ms (3.3%)

rewrite144.0ms (2.4%)

eval123.0ms (2.1%)

prune112.0ms (1.9%)

regimes49.0ms (0.8%)

regimes29.0ms (0.5%)

regimes11.0ms (0.2%)

regimes2.0ms (0%)

regimes47.0ms (0.8%)

regimes5.0ms (0.1%)

bsearch42.0ms (0.7%)

bsearch2.0ms (0%)

simplify66.0ms (1.1%)

soundness1.2s (19.9%)

preprocess97.0ms (1.6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	44	186
1	52	186
2	54	186
3	60	186
4	75	186
5	88	186
6	111	186
7	152	186
8	210	186
9	283	186
10	355	186
11	397	186
12	407	186