Metrics for Main:bigenough2 from A

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB 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)

sample578.0ms (14.3%)

Memory

40.6MiB live, 771.2MiB allocated

Samples

347.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 156.0ms

ival-add: 90.0ms (57.6% of total)

ival-mult: 57.0ms (36.5% of total)

ival-true: 6.0ms (3.8% of total)

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

Bogosity

explain71.0ms (1.8%)

Memory

-40.4MiB live, 100.4MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(+.f64 z x)`
-	-	`y`
-	-	`(*.f64 y (+.f64 z x))`
-	-	`(+.f64 x (*.f64 y (+.f64 z x)))`
-	-	`z`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

31.0ms

512×

valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

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

ival-add: 6.0ms (56.5% of total)

ival-mult: 4.0ms (37.7% of total)

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

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

preprocess82.0ms (2%)

Memory

24.8MiB live, 62.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	70
1	95	70
2	327	66
3	598	66
4	803	64
5	1105	63
6	1458	63
7	2634	63
8	3175	63
9	3561	63
10	3671	63
11	3671	63
0	6	7
0	9	7
1	21	7
2	53	7
3	118	7
4	186	7
5	255	7
6	336	7
7	492	7
8	664	7
9	901	7
10	1128	7
11	1268	7
12	1272	7
0	1272	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

0.7MiB live, 0.7MiB 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)

simplify24.0ms (0.6%)

Memory

-22.0MiB live, 16.3MiB 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	1	(+.f64 x (*.f64 y (+.f64 z x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	9	18
1	21	18
2	53	18
3	118	18
4	186	18
5	255	18
6	336	18
7	492	18
8	664	18
9	901	18
10	1128	18
11	1268	18
12	1272	18
0	1272	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

localize15.0ms (0.4%)

Memory

17.0MiB live, 17.0MiB allocated

Localize:

Found 3 expressions of interest:

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

Samples

11.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

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

ival-add: 3.0ms (67.2% of total)

ival-mult: 2.0ms (44.8% of total)

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

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

series5.0ms (0.1%)

Memory

5.2MiB live, 5.2MiB 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))
1.0ms	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))

simplify149.0ms (3.7%)

Memory

18.1MiB live, 127.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	149
1	265	131
2	888	131
3	2662	131
4	4804	131
5	6447	131
6	7414	131
0	8179	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)

rewrite207.0ms (5.1%)

Memory

-11.2MiB live, 185.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	44	15
2	373	15
3	4515	15
0	8133	14

Stop Event

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

Counts

3 → 192

Calls

Call 1

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

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

eval60.0ms (1.5%)

Memory: -23.3MiB live, 61.9MiB allocated
Compiler: Compiled 5 379 to 675 computations (87.5% saved)

prune4.0ms (0.1%)

Memory

13.1MiB live, 13.1MiB allocated

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	194	4	198
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	194	5	199

Accuracy

100.0%

Counts

199 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (+.f64 z x) y x)
▶	98.4%	(fma.f64 y x (fma.f64 z y x))
✓	100.0%	(+.f64 x (*.f64 y (+.f64 z x)))
▶	63.5%	#s(approx (+ x (* y (+ z x))) (fma.f64 y x x))
▶	39.5%	#s(approx (+ x (* y (+ z x))) (*.f64 z y))

Compiler

Compiled 43 to 32 computations (25.6% saved)

simplify31.0ms (0.8%)

Memory

-8.7MiB live, 30.7MiB 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 z y x)
cost-diff	1	(fma.f64 y x (fma.f64 z y 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: 1 (0.0ms)

Iter	Nodes	Cost
0	14	60
0	22	59
1	41	57
2	77	57
3	150	57
4	240	57
5	346	57
6	571	57
7	802	57
8	1061	57
9	1215	57
10	1219	57
0	1219	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 y x (fma.f64 z y x))
y
x
(fma.f64 z y x)
z
(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 y x (fma.f64 z y x))
(fma.f64 (+.f64 z x) y x)
y
x
(fma.f64 z y x)
z
(fma.f64 (+.f64 z x) y x)
(+.f64 z x)
z
x
y

localize121.0ms (3%)

Memory

4.5MiB live, 40.9MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 z x)
accuracy	0.0078125	(fma.f64 (+.f64 z x) y x)
accuracy	0.0	(fma.f64 z y x)
accuracy	1.0038952404222408	(fma.f64 y x (fma.f64 z y x))
accuracy	0.0	(fma.f64 y x x)
accuracy	23.390751483526405	#s(approx (+ x (* y (+ z x))) (fma.f64 y x x))
accuracy	0.0	(*.f64 z y)
accuracy	38.70455690433986	#s(approx (+ x (* y (+ z x))) (*.f64 z y))

Samples

113.0ms

256×

valid

Compiler

Compiled 58 to 15 computations (74.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 102.0ms

ival-mult: 95.0ms (92.8% of total)

ival-add: 7.0ms (6.8% of total)

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

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

series7.0ms (0.2%)

Memory

11.8MiB live, 11.8MiB allocated

Counts

8 → 33

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

Outputs
(* y z)
(+ (* x (+ 1 y)) (* y z))
(* x (+ 1 y))
(+ x (* y z))
z
(+ x z)
(* x (+ 1 (+ y (/ (* y z) x))))
x
(* x (+ 1 (/ (* y z) x)))
(* x (+ 1 (/ z x)))
(* -1 (* x (- (* -1 y) 1)))
(* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1)))
(* -1 (* x (- (* -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)))
(* y (+ z (/ 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))))))
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(+ x (+ (* x y) (* y z)))
(* z (+ y (+ (/ x z) (/ (* x y) z))))
(* z (+ y (/ x z)))
(* z (+ 1 (/ x z)))
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ x 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) (+ (* y x) (+ (* z y) x)) (+ (* z y) x) (+ (* (+ z x) y) x) (+ z x))
1.0ms	y	@	-inf	((+ x (* y (+ z x))) (* z y) (+ x (* y (+ z x))) (+ (* y x) x) (+ (* y x) (+ (* z y) x)) (+ (* z y) x) (+ (* (+ z x) y) x) (+ z x))
1.0ms	x	@	-inf	((+ x (* y (+ z x))) (* z y) (+ x (* y (+ z x))) (+ (* y x) x) (+ (* y x) (+ (* z y) x)) (+ (* z y) x) (+ (* (+ z x) y) x) (+ z x))
1.0ms	x	@	inf	((+ x (* y (+ z x))) (* z y) (+ x (* y (+ z x))) (+ (* y x) x) (+ (* y x) (+ (* z y) x)) (+ (* z y) x) (+ (* (+ z x) y) x) (+ z x))
1.0ms	z	@	-inf	((+ x (* y (+ z x))) (* z y) (+ x (* y (+ z x))) (+ (* y x) x) (+ (* y x) (+ (* z y) x)) (+ (* z y) x) (+ (* (+ z x) y) x) (+ z x))

simplify119.0ms (2.9%)

Memory

0.9MiB live, 96.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	89	183
1	320	163
2	960	163
3	2895	163
4	5269	163
5	7175	163
0	8104	141

Stop Event

1×	iter limit
1×	node limit

Counts

33 → 31

Calls

Call 1

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

rewrite243.0ms (6%)

Memory

-4.6MiB live, 217.0MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	50
0	22	49
1	109	47
2	825	47
0	8515	47

Stop Event

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

Counts

8 → 300

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

eval30.0ms (0.7%)

Memory: -17.3MiB live, 39.2MiB allocated
Compiler: Compiled 7 345 to 727 computations (90.1% saved)

prune5.0ms (0.1%)

Memory

11.9MiB live, 11.9MiB allocated

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	208	2	210
Fresh	0	0	0
Picked	0	4	4
Done	0	1	1
Total	208	7	215

Accuracy

100.0%

Counts

215 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (+.f64 z x) y x)
✓	98.4%	(fma.f64 y x (fma.f64 z y x))
✓	100.0%	(+.f64 x (*.f64 y (+.f64 z x)))
▶	62.6%	#s(approx (+ (* y x) (+ (* z y) x)) (*.f64 (+.f64 z x) y))
✓	63.5%	#s(approx (+ x (* y (+ z x))) (fma.f64 y x x))
✓	39.5%	#s(approx (+ x (* y (+ z x))) (*.f64 z y))
▶	26.8%	#s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x)))

Compiler

Compiled 75 to 53 computations (29.3% saved)

simplify28.0ms (0.7%)

Memory

-11.1MiB live, 27.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(+.f64 z x)
cost-diff	0	(*.f64 (+.f64 z x) y)
cost-diff	0	#s(approx (+ (* y x) (+ (* z y) 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	57
0	20	57
1	39	55
2	76	55
3	149	55
4	239	55
5	345	55
6	574	55
7	806	55
8	1061	55
9	1215	55
10	1219	55
0	1219	51

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

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 (+ (* y x) (+ (* z y) 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

localize59.0ms (1.5%)

Memory

-1.4MiB live, 36.1MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 z x)
accuracy	0.0078125	(*.f64 (+.f64 z x) y)
accuracy	23.95876644603861	#s(approx (+ (* y x) (+ (* z y) x)) (*.f64 (+.f64 z x) y))
accuracy	0.0	(*.f64 y x)
accuracy	23.390751483526405	#s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x)))
accuracy	31.815470580098694	#s(approx (+ (* y x) x) (*.f64 y x))

Samples

52.0ms

256×

valid

Compiler

Compiled 39 to 14 computations (64.1% saved)

Precisions

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

ival-add: 6.0ms (48.7% of total)

ival-mult: 6.0ms (48.7% of total)

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

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

series5.0ms (0.1%)

Memory

7.5MiB live, 7.5MiB allocated

Counts

6 → 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 (+ (* y x) (+ (* z y) x)) (*.f64 (+.f64 z x) y))
(*.f64 (+.f64 z x) y)
(+.f64 z 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) (+ (* y x) (+ (* z y) x)) (* (+ z x) y) (+ z x))
1.0ms	x	@	-inf	((+ x (* y (+ z x))) (+ (* y x) x) (* y x) (+ (* y x) (+ (* z y) x)) (* (+ z x) y) (+ z x))
1.0ms	x	@	inf	((+ x (* y (+ z x))) (+ (* y x) x) (* y x) (+ (* y x) (+ (* z y) x)) (* (+ z x) y) (+ z x))
1.0ms	y	@	inf	((+ x (* y (+ z x))) (+ (* y x) x) (* y x) (+ (* y x) (+ (* z y) x)) (* (+ z x) y) (+ z x))
0.0ms	z	@	-inf	((+ x (* y (+ z x))) (+ (* y x) x) (* y x) (+ (* y x) (+ (* z y) x)) (* (+ z x) y) (+ z x))

simplify128.0ms (3.2%)

Memory

23.5MiB live, 103.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	173
1	319	153
2	988	153
3	2969	153
4	5376	153
5	7023	153
6	7986	153
0	8110	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)

rewrite217.0ms (5.4%)

Memory

-13.2MiB live, 215.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	52
0	20	52
1	92	50
2	745	50
0	8336	46

Stop Event

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

Counts

6 → 76

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

eval9.0ms (0.2%)

Memory: 10.2MiB live, 10.2MiB allocated
Compiler: Compiled 2 419 to 328 computations (86.4% saved)

prune4.0ms (0.1%)

Memory

5.8MiB live, 5.8MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	0	0
Picked	0	2	2
Done	1	4	5
Total	85	7	92

Accuracy

100.0%

Counts

92 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (+.f64 z x) y x)
✓	100.0%	(+.f64 x (*.f64 y (+.f64 z x)))
▶	61.0%	#s(approx (+ (* y x) (+ (* z y) x)) (fma.f64 y x (*.f64 z y)))
✓	62.6%	#s(approx (+ (* y x) (+ (* z y) x)) (*.f64 (+.f64 z x) y))
✓	63.5%	#s(approx (+ x (* y (+ z x))) (fma.f64 y x x))
✓	39.5%	#s(approx (+ x (* y (+ z x))) (*.f64 z y))
✓	26.8%	#s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x)))

Compiler

Compiled 84 to 58 computations (31% saved)

simplify136.0ms (3.4%)

Memory

-22.2MiB live, 15.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	28
0	12	27
1	21	24
2	52	24
3	104	24
4	177	24
5	239	24
6	312	24
7	464	24
8	647	24
9	884	24
10	1111	24
11	1265	24
12	1269	24
0	1269	23

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize19.0ms (0.5%)

Memory

23.0MiB live, 23.0MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 z y)
accuracy	1.0038952404222408	(fma.f64 y x (*.f64 z y))
accuracy	23.95876644603861	#s(approx (+ (* y x) (+ (* z y) x)) (fma.f64 y x (*.f64 z y)))

Samples

14.0ms

256×

valid

Compiler

Compiled 24 to 10 computations (58.3% saved)

Precisions

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

ival-mult: 4.0ms (57.8% of total)

ival-add: 3.0ms (43.3% of total)

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

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

series3.0ms (0.1%)

Memory

5.4MiB live, 5.4MiB allocated

Counts

3 → 22

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	((+ (* y x) (* z y)) (+ (* y x) (+ (* z y) x)) (* z y))
0.0ms	y	@	inf	((+ (* y x) (* z y)) (+ (* y x) (+ (* z y) x)) (* z y))
0.0ms	z	@	-inf	((+ (* y x) (* z y)) (+ (* y x) (+ (* z y) x)) (* z y))
0.0ms	x	@	-inf	((+ (* y x) (* z y)) (+ (* y x) (+ (* z y) x)) (* z y))
0.0ms	y	@	0	((+ (* y x) (* z y)) (+ (* y x) (+ (* z y) x)) (* z y))

simplify119.0ms (2.9%)

Memory

-26.4MiB live, 55.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	138
1	239	120
2	801	120
3	2791	120
4	4770	120
5	6901	120
6	7901	120
0	8015	108

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 21

Calls

Call 1

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

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

rewrite203.0ms (5%)

Memory

36.3MiB live, 224.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	25
0	12	24
1	54	21
2	475	21
3	7177	21
0	8405	20

Stop Event

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

Counts

3 → 100

Calls

Call 1

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

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

eval15.0ms (0.4%)

Memory: -17.7MiB live, 19.3MiB allocated
Compiler: Compiled 4 012 to 399 computations (90.1% saved)

prune5.0ms (0.1%)

Memory

9.8MiB live, 9.8MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	105	0	105
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	105	7	112

Accuracy

100.0%

Counts

112 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (+.f64 z x) y x)
✓	100.0%	(+.f64 x (*.f64 y (+.f64 z x)))
✓	61.0%	#s(approx (+ (* y x) (+ (* z y) x)) (fma.f64 y x (*.f64 z y)))
✓	62.6%	#s(approx (+ (* y x) (+ (* z y) x)) (*.f64 (+.f64 z x) y))
✓	63.5%	#s(approx (+ x (* y (+ z x))) (fma.f64 y x x))
✓	39.5%	#s(approx (+ x (* y (+ z x))) (*.f64 z y))
✓	26.8%	#s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x)))

Compiler

Compiled 175 to 86 computations (50.9% saved)

regimes35.0ms (0.9%)

Memory

-31.0MiB live, 17.8MiB 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 (+ (* y x) (+ (* z y) x)) (*.f64 (+.f64 z x) y))
(fma.f64 (+.f64 z x) y x)
#s(approx (+ (* y x) (+ (* z y) x)) (fma.f64 y x (*.f64 z y)))
(+.f64 x (*.f64 y (+.f64 z x)))
(fma.f64 y x (fma.f64 z y x))

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

Calls

4 calls:

26.0ms	x
3.0ms	(+.f64 x (*.f64 y (+.f64 z x)))
3.0ms	z
3.0ms	y

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)

regimes10.0ms (0.3%)

Memory

14.1MiB live, 14.1MiB allocated

Counts

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

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

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
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)

regimes8.0ms (0.2%)

Memory

15.1MiB live, 15.1MiB 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 (+ (* y x) (+ (* z y) x)) (*.f64 (+.f64 z x) y))

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
79.5%	3	`x`
87.2%	3	`y`
82.4%	3	`z`
76.4%	3	`(+.f64 x (*.f64 y (+.f64 z x)))`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes27.0ms (0.7%)

Memory

-25.2MiB live, 13.5MiB 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:

23.0ms	x
2.0ms	y
2.0ms	z

Results

Accuracy	Segments	Branch
75.9%	3	`x`
78.0%	3	`z`
69.2%	3	`y`

Compiler

Compiled 3 to 9 computations (-200% saved)

regimes6.0ms (0.1%)

Memory

18.1MiB live, 18.1MiB 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))) #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)))

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
39.5%	1	`y`
50.7%	3	`x`
43.1%	3	`(+.f64 x (*.f64 y (+.f64 z x)))`
48.8%	3	`z`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes7.0ms (0.2%)

Memory

-20.0MiB live, 18.1MiB 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	(+.f64 x (*.f64 y (+.f64 z x)))
1.0ms	x
1.0ms	y
1.0ms	z

Results

Accuracy	Segments	Branch
26.8%	1	`y`
26.8%	1	`(+.f64 x (*.f64 y (+.f64 z x)))`
26.8%	1	`z`
26.8%	1	`x`

Compiler

Compiled 10 to 15 computations (-50% saved)

bsearch27.0ms (0.7%)

Memory

12.2MiB live, 49.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	511.14254393838587	58058764981.607124
11.0ms	-2.345785170491123e-7	-1.8152844781175008e-14

Samples

15.0ms

288×

valid

Compiler

Compiled 496 to 372 computations (25% saved)

Precisions

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

ival-add: 3.0ms (55.8% of total)

ival-mult: 2.0ms (37.2% of total)

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

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

bsearch64.0ms (1.6%)

Memory

19.8MiB live, 70.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	1.3776203346234314e+124	5.140855547329351e+128
10.0ms	-1.3547127696279682e+79	-9.307826795064056e+74

Samples

10.0ms

256×

valid

Compiler

Compiled 378 to 300 computations (20.6% saved)

Precisions

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

ival-add: 3.0ms (64.9% of total)

ival-mult: 2.0ms (43.3% of total)

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

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

bsearch49.0ms (1.2%)

Memory

-19.3MiB live, 18.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	4.171380748557166e+163	1.0895643160875876e+167
37.0ms	-16354491666070.52	-5776539412907.299

Samples

39.0ms

208×

valid

Compiler

Compiled 374 to 285 computations (23.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-add: 32.0ms (93.5% of total)

ival-mult: 2.0ms (5.8% of total)

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

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

simplify38.0ms (0.9%)

Memory

-7.4MiB live, 30.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	42	135
1	70	133
2	107	133
3	183	133
4	290	133
5	704	133
6	3384	133

Stop Event

1×	node limit

Calls

Call 1

Inputs
(+.f64 x (*.f64 y (+.f64 z x)))
(fma.f64 (+.f64 z x) y x)
(if (<=.f64 y #s(literal -851083777008699/9671406556917033397649408 binary64)) #s(approx (+ (* y x) (+ (* z y) x)) (.f64 (+.f64 z x) y)) (if (<=.f64 y #s(literal 520 binary64)) #s(approx (+ x ( y (+ z x))) (fma.f64 y x x)) #s(approx (+ (* y x) (+ (* z y) x)) (*.f64 (+.f64 z x) y))))
(if (<=.f64 z #s(literal -299999999999999981979279463591835365907546195412746872484301410391090779914240 binary64)) #s(approx (+ x (* y (+ z x))) (.f64 z y)) (if (<=.f64 z #s(literal 33000000000000001466187672486804930258301541310635875218641139249412091387450002052015557486715167592814809214062053658984448 binary64)) #s(approx (+ x ( y (+ z x))) (fma.f64 y x x)) #s(approx (+ x (* y (+ z x))) (*.f64 z y))))
(if (<=.f64 x #s(literal -15500000000000 binary64)) #s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (.f64 y x))) (if (<=.f64 x #s(literal 42000000000000000586367980324464738525677620004638952472344961357683264552836056761080591423929803562459248681135335413796443606264545117040772672260669312493158400 binary64)) #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))) #s(approx (+ (* y x) x) (*.f64 y x)))

Outputs
(+.f64 x (*.f64 y (+.f64 z x)))
(fma.f64 (+.f64 z x) y x)
(if (<=.f64 y #s(literal -851083777008699/9671406556917033397649408 binary64)) #s(approx (+ (* y x) (+ (* z y) x)) (.f64 (+.f64 z x) y)) (if (<=.f64 y #s(literal 520 binary64)) #s(approx (+ x ( y (+ z x))) (fma.f64 y x x)) #s(approx (+ (* y x) (+ (* z y) x)) (*.f64 (+.f64 z x) y))))
(if (or (<=.f64 y #s(literal -851083777008699/9671406556917033397649408 binary64)) (not (<=.f64 y #s(literal 520 binary64)))) #s(approx (+ (* y x) (+ (* z y) x)) (.f64 (+.f64 z x) y)) #s(approx (+ ( y x) (+ (* z y) x)) (fma.f64 y x x)))
(if (<=.f64 z #s(literal -299999999999999981979279463591835365907546195412746872484301410391090779914240 binary64)) #s(approx (+ x (* y (+ z x))) (.f64 z y)) (if (<=.f64 z #s(literal 33000000000000001466187672486804930258301541310635875218641139249412091387450002052015557486715167592814809214062053658984448 binary64)) #s(approx (+ x ( y (+ z x))) (fma.f64 y x x)) #s(approx (+ x (* y (+ z x))) (*.f64 z y))))
(if (or (<=.f64 z #s(literal -299999999999999981979279463591835365907546195412746872484301410391090779914240 binary64)) (not (<=.f64 z #s(literal 33000000000000001466187672486804930258301541310635875218641139249412091387450002052015557486715167592814809214062053658984448 binary64)))) #s(approx (+ (* y x) (+ (* z y) x)) (.f64 z y)) #s(approx (+ ( y x) (+ (* z y) x)) (fma.f64 y x x)))
(if (<=.f64 x #s(literal -15500000000000 binary64)) #s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (.f64 y x))) (if (<=.f64 x #s(literal 42000000000000000586367980324464738525677620004638952472344961357683264552836056761080591423929803562459248681135335413796443606264545117040772672260669312493158400 binary64)) #s(approx (+ x ( y (+ z x))) (.f64 z y)) #s(approx (+ x ( y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x)))))
(if (or (<=.f64 x #s(literal -15500000000000 binary64)) (not (<=.f64 x #s(literal 42000000000000000586367980324464738525677620004638952472344961357683264552836056761080591423929803562459248681135335413796443606264545117040772672260669312493158400 binary64)))) #s(approx (+ (* y x) (+ (* z y) x)) #s(approx (+ (* y x) x) (.f64 y x))) #s(approx (+ ( y x) (+ (* z y) x)) (*.f64 z y)))
#s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x)))
#s(approx (+ (* y x) (+ (* z y) x)) #s(approx (+ (* y x) x) (*.f64 y x)))

soundness1.0s (25.7%)

Memory

34.0MiB live, 463.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	44	15
2	373	15
3	4515	15
0	8133	14
0	70	149
1	265	131
2	888	131
3	2662	131
4	4804	131
5	6447	131
6	7414	131
0	8179	119
0	89	183
1	320	163
2	960	163
3	2895	163
4	5269	163
5	7175	163
0	8104	141

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 201 to 92 computations (54.2% saved)

preprocess33.0ms (0.8%)

Memory: -22.8MiB live, 52.7MiB allocated
Compiler: Compiled 308 to 96 computations (68.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample578.0ms (14.3%)

explain71.0ms (1.8%)

preprocess82.0ms (2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify24.0ms (0.6%)

localize15.0ms (0.4%)

series5.0ms (0.1%)

simplify149.0ms (3.7%)

rewrite207.0ms (5.1%)

eval60.0ms (1.5%)

prune4.0ms (0.1%)

simplify31.0ms (0.8%)

localize121.0ms (3%)

series7.0ms (0.2%)

simplify119.0ms (2.9%)

rewrite243.0ms (6%)

eval30.0ms (0.7%)

prune5.0ms (0.1%)

simplify28.0ms (0.7%)

localize59.0ms (1.5%)

series5.0ms (0.1%)

simplify128.0ms (3.2%)

rewrite217.0ms (5.4%)

eval9.0ms (0.2%)

prune4.0ms (0.1%)

simplify136.0ms (3.4%)

localize19.0ms (0.5%)

series3.0ms (0.1%)

simplify119.0ms (2.9%)

rewrite203.0ms (5%)

eval15.0ms (0.4%)

prune5.0ms (0.1%)

regimes35.0ms (0.9%)

regimes10.0ms (0.3%)

regimes8.0ms (0.2%)

regimes27.0ms (0.7%)

regimes6.0ms (0.1%)

regimes7.0ms (0.2%)

bsearch27.0ms (0.7%)

bsearch64.0ms (1.6%)

bsearch49.0ms (1.2%)

simplify38.0ms (0.9%)

soundness1.0s (25.7%)

preprocess33.0ms (0.8%)

end0.0ms (0%)

Profiling