Metrics for Main:bigenough2 from A

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample644.0ms (16.6%)

Memory

5.0MiB live, 787.1MiB allocated

Samples

422.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 160.0ms

ival-add: 89.0ms (55.6% of total)

ival-mult: 63.0ms (39.3% of total)

ival-true: 5.0ms (3.1% of total)

ival-assert: 3.0ms (1.9% of total)

Bogosity

explain88.0ms (2.3%)

Memory

22.5MiB live, 104.7MiB allocated

FPErrors

Click to see full error table

Overpredictions	Example	Example	Subexpression
0	-	-	`(+.f64 z x)`
0	-	-	`y`
0	-	-	`(*.f64 y (+.f64 z x))`
1	(-1.5815431581061213e-232 5.472685328298765e-309 -8.785644780612285e+55)	-	`(+.f64 x (*.f64 y (+.f64 z x)))`
0	-	-	`z`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 x (*.f64 y (+.f64 z x)))`	cancellation	1	0

Confusion

	Predicted +	Predicted -
+	0	0
-	1	255

Precision

0.0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	1	0	255

Precision?

0.0

Recall?

0/0

Freqs

test

number	freq
0	255
1	1

Total Confusion?

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

Precision?

0.0

Recall?

0/0

Samples

24.0ms

512×

valid

Compiler

Compiled 83 to 34 computations (59% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-add: 5.0ms (53.3% of total)

ival-mult: 4.0ms (42.6% of total)

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

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

preprocess58.0ms (1.5%)

Memory

-22.2MiB live, 14.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	70
1	94	63
2	290	63
3	708	63
4	1654	63
5	2395	63
6	2500	63
7	2500	63
0	6	7
0	9	7
1	18	7
2	29	7
3	38	7
4	42	7
5	48	7
6	48	7
7	61	7
8	61	7
9	73	7
10	75	7
11	79	7
0	79	6

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 x (*.f64 y (+.f64 z x)))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify5.0ms (0.1%)

Memory

3.6MiB live, 3.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	9	18
1	18	18
2	29	18
3	38	18
4	42	18
5	48	18
6	48	18
7	61	18
8	61	18
9	73	18
10	75	18
11	79	18
0	79	17

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize16.0ms (0.4%)

Memory

15.9MiB live, 15.9MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 z x)
accuracy	0.00390625	(+.f64 x (*.f64 y (+.f64 z x)))
accuracy	0.0078125	(*.f64 y (+.f64 z x))

Samples

11.0ms

256×

valid

Compiler

Compiled 38 to 14 computations (63.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-add: 3.0ms (67.5% of total)

ival-mult: 2.0ms (45% of total)

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

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

series5.0ms (0.1%)

Memory

4.7MiB live, 4.7MiB allocated

Counts

3 → 27

Calls

Call 1

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

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

Calls

9 calls:

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

simplify140.0ms (3.6%)

Memory

-25.0MiB live, 87.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	149
1	249	131
2	731	131
3	2102	131
4	4314	131
5	5684	131
6	6814	131
7	7682	131
0	8071	119

Stop Event

1×	iter limit
1×	node limit

Counts

27 → 25

Calls

Call 1

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

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

rewrite187.0ms (4.8%)

Memory

41.3MiB live, 274.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	41	15
2	351	15
3	4269	15
0	8638	14

Stop Event

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

Counts

3 → 245

Calls

Call 1

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

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

eval64.0ms (1.7%)

Memory: -44.9MiB live, 60.2MiB allocated
Compiler: Compiled 5 915 to 817 computations (86.2% saved)

prune4.0ms (0.1%)

Memory

14.8MiB live, 14.8MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	247	4	251
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	248	4	252

Accuracy

100.0%

Counts

252 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (+.f64 z x) y x)
▶	99.2%	(fma.f64 z y (fma.f64 y x x))
▶	61.3%	#s(approx (+ x (* y (+ z x))) (fma.f64 y x x))
▶	42.7%	#s(approx (+ x (* y (+ z x))) (*.f64 z y))

Compiler

Compiled 36 to 26 computations (27.8% saved)

simplify6.0ms (0.1%)

Memory

10.1MiB live, 10.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 z x)
cost-diff	0	(fma.f64 (+.f64 z x) y x)
cost-diff	0	(fma.f64 y x x)
cost-diff	192	(fma.f64 z y (fma.f64 y x x))
cost-diff	0	(fma.f64 y x x)
cost-diff	0	#s(approx (+ x (* y (+ z x))) (fma.f64 y x x))
cost-diff	0	(*.f64 z y)
cost-diff	0	#s(approx (+ x (* y (+ z x))) (*.f64 z y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	60
0	20	57
1	34	57
2	44	57
3	51	57
4	51	57
5	64	57
6	64	57
7	76	57
8	78	57
9	82	57
0	82	57

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize34.0ms (0.9%)

Memory

-19.1MiB live, 57.6MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 z x)
accuracy	0.00390625	(fma.f64 (+.f64 z x) y x)
accuracy	0	(fma.f64 y x x)
accuracy	0.49999449521112044	(fma.f64 z y (fma.f64 y x x))
accuracy	0	(fma.f64 y x x)
accuracy	24.75226572408579	#s(approx (+ x (* y (+ z x))) (fma.f64 y x x))
accuracy	0	(*.f64 z y)
accuracy	36.64575772887138	#s(approx (+ x (* y (+ z x))) (*.f64 z y))

Samples

24.0ms

256×

valid

Compiler

Compiled 118 to 27 computations (77.1% saved)

Precisions

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

ival-add: 6.0ms (47.9% of total)

ival-mult: 6.0ms (47.9% of total)

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

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

series7.0ms (0.2%)

Memory

8.3MiB live, 8.3MiB allocated

Counts

7 → 26

Calls

Call 1

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

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

Calls

9 calls:

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

simplify170.0ms (4.4%)

Memory

0.1MiB live, 79.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	148
1	255	128
2	690	128
3	1868	128
4	4838	128
5	6582	128
6	7884	128
0	8191	113

Stop Event

1×	iter limit
1×	node limit

Counts

26 → 24

Calls

Call 1

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

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

rewrite182.0ms (4.7%)

Memory

2.2MiB live, 191.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	46
0	20	43
1	94	43
2	727	43
0	8215	43

Stop Event

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

Counts

7 → 346

Calls

Call 1

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

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

eval54.0ms (1.4%)

Memory: 13.2MiB live, 50.7MiB allocated
Compiler: Compiled 7 018 to 788 computations (88.8% saved)

prune9.0ms (0.2%)

Memory

-29.8MiB live, 16.8MiB allocated

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	276	3	279
Fresh	0	0	0
Picked	1	3	4
Done	0	0	0
Total	277	6	283

Accuracy

100.0%

Counts

283 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (+.f64 z x) y x)
▶	65.2%	(fma.f64 z y #s(approx (+ (* y x) x) (*.f64 y x)))
▶	66.0%	#s(approx (+ (* z y) (+ (* y x) x)) (*.f64 (+.f64 z x) y))
✓	61.3%	#s(approx (+ x (* y (+ z x))) (fma.f64 y x x))
✓	42.7%	#s(approx (+ x (* y (+ z x))) (*.f64 z y))
▶	27.5%	#s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x)))

Compiler

Compiled 73 to 50 computations (31.5% saved)

simplify6.0ms (0.2%)

Memory

8.3MiB live, 8.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	84
0	21	82
1	36	82
2	46	82
3	53	82
4	53	82
5	66	82
6	66	82
7	78	82
8	80	82
9	84	82
0	84	76

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize33.0ms (0.8%)

Memory

16.7MiB live, 52.6MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y x)
accuracy	0.49999449521112044	(fma.f64 z y #s(approx (+ (* y x) x) (*.f64 y x)))
accuracy	31.679237055252795	#s(approx (+ (* y x) x) (*.f64 y x))
accuracy	0	(+.f64 z x)
accuracy	0.0078125	(*.f64 (+.f64 z x) y)
accuracy	21.743483207056503	#s(approx (+ (* z y) (+ (* y x) x)) (*.f64 (+.f64 z x) y))
accuracy	0	(*.f64 y x)
accuracy	24.75226572408579	#s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x)))
accuracy	31.679237055252795	#s(approx (+ (* y x) x) (*.f64 y x))

Samples

25.0ms

256×

valid

Compiler

Compiled 143 to 30 computations (79% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult: 7.0ms (60.2% of total)

ival-add: 5.0ms (43% of total)

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

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

series5.0ms (0.1%)

Memory

11.6MiB live, 11.6MiB allocated

Counts

7 → 31

Calls

Call 1

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

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

Calls

9 calls:

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

simplify218.0ms (5.6%)

Memory

-12.6MiB live, 116.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	173
1	300	153
2	833	153
3	2226	153
4	4394	153
5	5713	153
6	6687	153
7	7142	153
8	7419	153
9	7610	153
0	8484	138

Stop Event

1×	iter limit
1×	node limit

Counts

31 → 29

Calls

Call 1

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

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

rewrite286.0ms (7.4%)

Memory

3.3MiB live, 191.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	64
0	21	62
1	91	62
2	746	62
0	8208	57

Stop Event

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

Counts

7 → 120

Calls

Call 1

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

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

eval25.0ms (0.6%)

Memory: -10.6MiB live, 26.7MiB allocated
Compiler: Compiled 4 192 to 466 computations (88.9% saved)

prune5.0ms (0.1%)

Memory

12.9MiB live, 12.9MiB allocated

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	134	0	134
Fresh	0	0	0
Picked	0	3	3
Done	0	3	3
Total	134	6	140

Accuracy

100.0%

Counts

140 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (+.f64 z x) y x)
✓	65.2%	(fma.f64 z y #s(approx (+ (* y x) x) (*.f64 y x)))
✓	66.0%	#s(approx (+ (* z y) (+ (* y x) x)) (*.f64 (+.f64 z x) y))
✓	61.3%	#s(approx (+ x (* y (+ z x))) (fma.f64 y x x))
✓	42.7%	#s(approx (+ x (* y (+ z x))) (*.f64 z y))
✓	27.5%	#s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x)))

Compiler

Compiled 160 to 75 computations (53.1% saved)

regimes44.0ms (1.1%)

Memory

-12.0MiB live, 26.1MiB allocated

Counts

8 → 1

Calls

Call 1

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

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

Calls

4 calls:

34.0ms	x
3.0ms	y
3.0ms	z
3.0ms	(+.f64 x (*.f64 y (+.f64 z x)))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`(+.f64 x (*.f64 y (+.f64 z x)))`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes9.0ms (0.2%)

Memory

23.5MiB live, 23.5MiB allocated

Counts

4 → 3

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
85.7%	3	`x`
87.9%	3	`y`
84.6%	3	`z`
73.8%	3	`(+.f64 x (*.f64 y (+.f64 z x)))`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes13.0ms (0.3%)

Memory

-28.8MiB live, 14.8MiB allocated

Counts

3 → 3

Calls

Call 1

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

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

Calls

3 calls:

9.0ms	x
2.0ms	y
2.0ms	z

Results

Accuracy	Segments	Branch
82.4%	3	`z`
80.5%	3	`x`
64.0%	2	`y`

Compiler

Compiled 3 to 9 computations (-200% saved)

regimes7.0ms (0.2%)

Memory

18.0MiB live, 18.0MiB allocated

Counts

2 → 3

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
44.5%	2	`y`
46.2%	2	`(+.f64 x (*.f64 y (+.f64 z x)))`
55.4%	3	`x`
59.2%	3	`z`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes8.0ms (0.2%)

Memory

-22.0MiB live, 15.5MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
27.5%	1	`y`
27.5%	1	`(+.f64 x (*.f64 y (+.f64 z x)))`
27.5%	1	`x`
27.5%	1	`z`

Compiler

Compiled 10 to 15 computations (-50% saved)

bsearch24.0ms (0.6%)

Memory

7.5MiB live, 43.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	5.332549664441988e-75	6.917588887053661e-74
13.0ms	-1.2257618675776841e-49	-3.1081794010514336e-87

Samples

11.0ms

272×

valid

Compiler

Compiled 469 to 352 computations (24.9% saved)

Precisions

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

ival-add: 3.0ms (62.7% of total)

ival-mult: 2.0ms (41.8% of total)

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

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

bsearch23.0ms (0.6%)

Memory

8.5MiB live, 43.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	4.663728171104945e-41	7.852119209537008e-19
5.0ms	-1.5260648247649618e+56	-8.785644780612285e+55

Samples

12.0ms

240×

valid

Compiler

Compiled 355 to 282 computations (20.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-add: 5.0ms (71.3% of total)

ival-mult: 2.0ms (28.5% of total)

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

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

bsearch33.0ms (0.8%)

Memory

0.4MiB live, 85.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	4.663728171104945e-41	7.852119209537008e-19
18.0ms	-2.3723811442902288e-108	-7.285835745256123e-120

Samples

13.0ms

304×

valid

Compiler

Compiled 598 to 453 computations (24.2% saved)

Precisions

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

ival-add: 3.0ms (56.7% of total)

ival-mult: 2.0ms (37.8% of total)

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

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

simplify75.0ms (1.9%)

Memory

-9.5MiB live, 68.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	162
1	43	162

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (+.f64 z x) y x)
(if (<=.f64 y #s(literal -7114265962740707/474284397516047136454946754595585670566993857190463750305618264096412179005177856 binary64)) #s(approx (+ (* z y) (+ (* y x) x)) (.f64 (+.f64 z x) y)) (if (<=.f64 y #s(literal 1209490110948601/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168 binary64)) #s(approx (+ x ( y (+ z x))) (fma.f64 y x x)) #s(approx (+ (* z y) (+ (* y x) x)) (*.f64 (+.f64 z x) y))))
(if (<=.f64 z #s(literal -115999999999999994109394542411871893318939067788988252160 binary64)) #s(approx (+ x (* y (+ z x))) (.f64 z y)) (if (<=.f64 z #s(literal 8099983099314331/10384593717069655257060992658440192 binary64)) #s(approx (+ x ( y (+ z x))) (fma.f64 y x x)) #s(approx (+ x (* y (+ z x))) (*.f64 z y))))
(if (<=.f64 z #s(literal -7208941204714119/2772669694120814859578414184143083703436437075375816575170479580614621307805625623039974406104139578097391210961403571828974157824 binary64)) #s(approx (+ x (* y (+ z x))) (.f64 z y)) (if (<=.f64 z #s(literal 6132704929595921/1393796574908163946345982392040522594123776 binary64)) #s(approx (+ x ( y (+ z x))) #s(approx (+ (* y x) x) (.f64 y x))) #s(approx (+ x ( y (+ z x))) (*.f64 z y))))
#s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x)))

Outputs
(fma.f64 (+.f64 z x) y x)
(fma.f64 (+.f64 x z) y x)
(if (<=.f64 y #s(literal -7114265962740707/474284397516047136454946754595585670566993857190463750305618264096412179005177856 binary64)) #s(approx (+ (* z y) (+ (* y x) x)) (.f64 (+.f64 z x) y)) (if (<=.f64 y #s(literal 1209490110948601/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168 binary64)) #s(approx (+ x ( y (+ z x))) (fma.f64 y x x)) #s(approx (+ (* z y) (+ (* y x) x)) (*.f64 (+.f64 z x) y))))
(if (<=.f64 y #s(literal -7114265962740707/474284397516047136454946754595585670566993857190463750305618264096412179005177856 binary64)) #s(approx (+ (* z y) (+ (* y x) x)) (.f64 y (+.f64 x z))) (if (<=.f64 y #s(literal 1209490110948601/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168 binary64)) #s(approx (+ x ( y (+ z x))) (fma.f64 y x x)) #s(approx (+ (* z y) (+ (* y x) x)) (*.f64 y (+.f64 x z)))))
(if (<=.f64 z #s(literal -115999999999999994109394542411871893318939067788988252160 binary64)) #s(approx (+ x (* y (+ z x))) (.f64 z y)) (if (<=.f64 z #s(literal 8099983099314331/10384593717069655257060992658440192 binary64)) #s(approx (+ x ( y (+ z x))) (fma.f64 y x x)) #s(approx (+ x (* y (+ z x))) (*.f64 z y))))
(if (<=.f64 z #s(literal -115999999999999994109394542411871893318939067788988252160 binary64)) #s(approx (+ x (* y (+ z x))) (.f64 y z)) (if (<=.f64 z #s(literal 8099983099314331/10384593717069655257060992658440192 binary64)) #s(approx (+ x ( y (+ z x))) (fma.f64 y x x)) #s(approx (+ x (* y (+ z x))) (*.f64 y z))))
(if (<=.f64 z #s(literal -7208941204714119/2772669694120814859578414184143083703436437075375816575170479580614621307805625623039974406104139578097391210961403571828974157824 binary64)) #s(approx (+ x (* y (+ z x))) (.f64 z y)) (if (<=.f64 z #s(literal 6132704929595921/1393796574908163946345982392040522594123776 binary64)) #s(approx (+ x ( y (+ z x))) #s(approx (+ (* y x) x) (.f64 y x))) #s(approx (+ x ( y (+ z x))) (*.f64 z y))))
(if (<=.f64 z #s(literal -7208941204714119/2772669694120814859578414184143083703436437075375816575170479580614621307805625623039974406104139578097391210961403571828974157824 binary64)) #s(approx (+ x (* y (+ z x))) (.f64 y z)) (if (<=.f64 z #s(literal 6132704929595921/1393796574908163946345982392040522594123776 binary64)) #s(approx (+ x ( y (+ z x))) #s(approx (+ (* y x) x) (.f64 y x))) #s(approx (+ x ( y (+ z x))) (*.f64 y z))))
#s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x)))

soundness1.2s (31.5%)

Memory

20.4MiB live, 425.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	41	15
2	351	15
3	4269	15
0	8638	14
0	75	148
1	255	128
2	690	128
3	1868	128
4	4838	128
5	6582	128
6	7884	128
0	8191	113
0	70	149
1	249	131
2	731	131
3	2102	131
4	4314	131
5	5684	131
6	6814	131
7	7682	131
0	8071	119

Stop Event

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

Compiler

Compiled 216 to 89 computations (58.8% saved)

preprocess171.0ms (4.4%)

Memory: 8.4MiB live, 45.1MiB allocated
Compiler: Compiled 338 to 90 computations (73.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	6	18
0	9	18
1	18	18
2	29	18
3	38	18
4	42	18
5	48	18
6	48	18
7	61	18
8	61	18
9	73	18
10	75	18
11	79	18
0	79	17

Iter	Nodes	Cost
0	13	60
0	20	57
1	34	57
2	44	57
3	51	57
4	51	57
5	64	57
6	64	57
7	76	57
8	78	57
9	82	57
0	82	57

Iter	Nodes	Cost
0	17	84
0	21	82
1	36	82
2	46	82
3	53	82
4	53	82
5	66	82
6	66	82
7	78	82
8	80	82
9	84	82
0	84	76

Iter	Nodes	Cost
0	6	18
0	9	18
1	18	18
2	29	18
3	38	18
4	42	18
5	48	18
6	48	18
7	61	18
8	61	18
9	73	18
10	75	18
11	79	18
0	79	17

Iter	Nodes	Cost
0	13	60
0	20	57
1	34	57
2	44	57
3	51	57
4	51	57
5	64	57
6	64	57
7	76	57
8	78	57
9	82	57
0	82	57

Iter	Nodes	Cost
0	17	84
0	21	82
1	36	82
2	46	82
3	53	82
4	53	82
5	66	82
6	66	82
7	78	82
8	80	82
9	84	82
0	84	76

start0.0ms (0%)

analyze0.0ms (0%)

sample644.0ms (16.6%)

explain88.0ms (2.3%)

preprocess58.0ms (1.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify5.0ms (0.1%)

localize16.0ms (0.4%)

series5.0ms (0.1%)

simplify140.0ms (3.6%)

rewrite187.0ms (4.8%)

eval64.0ms (1.7%)

prune4.0ms (0.1%)

simplify6.0ms (0.1%)

localize34.0ms (0.9%)

series7.0ms (0.2%)

simplify170.0ms (4.4%)

rewrite182.0ms (4.7%)

eval54.0ms (1.4%)

prune9.0ms (0.2%)

simplify6.0ms (0.2%)

localize33.0ms (0.8%)

series5.0ms (0.1%)

simplify218.0ms (5.6%)

rewrite286.0ms (7.4%)

eval25.0ms (0.6%)

prune5.0ms (0.1%)

regimes44.0ms (1.1%)

regimes9.0ms (0.2%)

regimes13.0ms (0.3%)

regimes7.0ms (0.2%)

regimes8.0ms (0.2%)

bsearch24.0ms (0.6%)

bsearch23.0ms (0.6%)

bsearch33.0ms (0.8%)

simplify75.0ms (1.9%)

soundness1.2s (31.5%)

preprocess171.0ms (4.4%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	6	18
0	9	18
1	18	18
2	29	18
3	38	18
4	42	18
5	48	18
6	48	18
7	61	18
8	61	18
9	73	18
10	75	18
11	79	18
0	79	17

Iter	Nodes	Cost
0	13	60
0	20	57
1	34	57
2	44	57
3	51	57
4	51	57
5	64	57
6	64	57
7	76	57
8	78	57
9	82	57
0	82	57

Iter	Nodes	Cost
0	17	84
0	21	82
1	36	82
2	46	82
3	53	82
4	53	82
5	66	82
6	66	82
7	78	82
8	80	82
9	84	82
0	84	76