Metrics for Main:bigenough2 from A

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

1.1MiB live, 1.2MiB 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)

sample737.0ms (15.6%)

Memory

31.3MiB live, 1 054.1MiB allocated

Samples

466.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 190.0ms

ival-add: 127.0ms (66.9% of total)

ival-mult: 53.0ms (27.9% of total)

ival-true: 6.0ms (3.2% of total)

ival-assert: 3.0ms (1.6% of total)

Bogosity

explain73.0ms (1.5%)

Memory

-21.3MiB live, 174.2MiB 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

33.0ms

512×

valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

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

ival-add: 5.0ms (54.6% of total)

ival-mult: 3.0ms (32.8% of total)

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

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

preprocess86.0ms (1.8%)

Memory

14.4MiB live, 104.7MiB 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: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.6MiB live, 1.6MiB 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)

simplify29.0ms (0.6%)

Memory

2.9MiB live, 53.0MiB 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

localize19.0ms (0.4%)

Memory

11.2MiB live, 56.8MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 z x)
accuracy	0.0078125	(*.f64 y (+.f64 z x))
accuracy	0.015625	(+.f64 x (*.f64 y (+.f64 z x)))

Samples

14.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

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

ival-add: 3.0ms (57% of total)

ival-mult: 2.0ms (38% of total)

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

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

series29.0ms (0.6%)

Memory

-35.1MiB live, 10.9MiB 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
25.0ms	y	@	inf	((+ x (* y (+ z x))) (* y (+ z x)) (+ z x))
1.0ms	z	@	-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	x	@	-inf	((+ x (* y (+ z x))) (* y (+ z x)) (+ z x))

simplify160.0ms (3.4%)

Memory

1.4MiB live, 189.3MiB 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)

rewrite242.0ms (5.1%)

Memory

23.0MiB live, 226.1MiB 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)

eval41.0ms (0.9%)

Memory: -2.9MiB live, 42.0MiB allocated
Compiler: Compiled 5 379 to 675 computations (87.5% saved)

prune3.0ms (0.1%)

Memory

11.6MiB live, 11.6MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	194	4	198
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	195	4	199

Accuracy

100.0%

Counts

199 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (+.f64 z x) y x)
▶	98.8%	(fma.f64 y x (fma.f64 z y x))
▶	62.2%	#s(approx (+ x (* y (+ z x))) (fma.f64 y x x))
▶	40.5%	#s(approx (+ x (* y (+ z x))) (*.f64 z y))

Compiler

Compiled 36 to 26 computations (27.8% saved)

simplify42.0ms (0.9%)

Memory

-29.8MiB live, 28.8MiB 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

localize46.0ms (1%)

Memory

7.3MiB live, 49.8MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 z x)
accuracy	0.00390625	(fma.f64 (+.f64 z x) y x)
accuracy	0.0	(fma.f64 z y x)
accuracy	0.7499917428166807	(fma.f64 y x (fma.f64 z y x))
accuracy	0.0	(fma.f64 y x x)
accuracy	24.178944517439778	#s(approx (+ x (* y (+ z x))) (fma.f64 y x x))
accuracy	0.0	(*.f64 z y)
accuracy	38.09680574522903	#s(approx (+ x (* y (+ z x))) (*.f64 z y))

Samples

38.0ms

256×

valid

Compiler

Compiled 58 to 15 computations (74.1% saved)

Precisions

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

ival-add: 7.0ms (53.5% of total)

ival-mult: 6.0ms (45.9% of total)

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

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

series7.0ms (0.2%)

Memory

15.5MiB live, 15.5MiB 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))

simplify145.0ms (3.1%)

Memory

-19.8MiB live, 124.3MiB 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)

rewrite208.0ms (4.4%)

Memory

33.7MiB live, 265.7MiB 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)

eval26.0ms (0.6%)

Memory: -12.6MiB live, 77.9MiB allocated
Compiler: Compiled 7 345 to 727 computations (90.1% saved)

prune13.0ms (0.3%)

Memory

-39.0MiB live, 23.7MiB allocated

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	208	2	210
Fresh	0	0	0
Picked	0	4	4
Done	0	0	0
Total	208	6	214

Accuracy

100.0%

Counts

214 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (+.f64 z x) y x)
✓	98.8%	(fma.f64 y x (fma.f64 z y x))
▶	61.5%	#s(approx (+ (* y x) (+ (* z y) x)) (*.f64 (+.f64 z x) y))
✓	62.2%	#s(approx (+ x (* y (+ z x))) (fma.f64 y x x))
✓	40.5%	#s(approx (+ x (* y (+ z x))) (*.f64 z y))
▶	25.0%	#s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x)))

Compiler

Compiled 68 to 47 computations (30.9% saved)

simplify23.0ms (0.5%)

Memory

17.6MiB live, 17.6MiB 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 (1.2%)

Memory

-5.1MiB live, 40.4MiB 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	24.616092674491963	#s(approx (+ (* y x) (+ (* z y) x)) (*.f64 (+.f64 z x) y))
accuracy	0.0	(*.f64 y x)
accuracy	24.178944517439778	#s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x)))
accuracy	33.24845301736516	#s(approx (+ (* y x) x) (*.f64 y x))

Samples

53.0ms

256×

valid

Compiler

Compiled 39 to 14 computations (64.1% saved)

Precisions

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

ival-mult: 6.0ms (52.1% of total)

ival-add: 5.0ms (43.4% of total)

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

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

series5.0ms (0.1%)

Memory

8.9MiB live, 8.9MiB 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	y	@	0	((+ x (* y (+ z x))) (+ (* y x) x) (* y x) (+ (* y x) (+ (* z y) x)) (* (+ z x) y) (+ z x))

simplify197.0ms (4.2%)

Memory

21.0MiB live, 110.8MiB 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)

rewrite286.0ms (6%)

Memory

12.4MiB live, 197.5MiB 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)

eval51.0ms (1.1%)

Memory: -30.7MiB live, 23.1MiB allocated
Compiler: Compiled 2 419 to 328 computations (86.4% saved)

prune3.0ms (0.1%)

Memory

6.6MiB live, 6.6MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	0	0
Picked	0	2	2
Done	1	3	4
Total	85	6	91

Accuracy

100.0%

Counts

91 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (+.f64 z x) y x)
▶	60.4%	#s(approx (+ (* y x) (+ (* z y) x)) (fma.f64 y x (*.f64 z y)))
✓	61.5%	#s(approx (+ (* y x) (+ (* z y) x)) (*.f64 (+.f64 z x) y))
✓	62.2%	#s(approx (+ x (* y (+ z x))) (fma.f64 y x x))
✓	40.5%	#s(approx (+ x (* y (+ z x))) (*.f64 z y))
✓	25.0%	#s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x)))

Compiler

Compiled 77 to 52 computations (32.5% saved)

simplify23.0ms (0.5%)

Memory

17.5MiB live, 17.5MiB 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

localize41.0ms (0.9%)

Memory

-25.6MiB live, 20.8MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 z y)
accuracy	0.7499917428166807	(fma.f64 y x (*.f64 z y))
accuracy	24.616092674491963	#s(approx (+ (* y x) (+ (* z y) x)) (fma.f64 y x (*.f64 z y)))

Samples

36.0ms

256×

valid

Compiler

Compiled 24 to 10 computations (58.3% saved)

Precisions

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

ival-add: 5.0ms (60% of total)

ival-mult: 3.0ms (36% of total)

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

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

series3.0ms (0.1%)

Memory

4.5MiB live, 4.5MiB 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	x	@	inf	((+ (* y x) (* z y)) (+ (* y x) (+ (* z y) x)) (* z y))

simplify182.0ms (3.8%)

Memory

-14.0MiB live, 77.3MiB 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)

rewrite365.0ms (7.7%)

Memory

10.1MiB live, 145.9MiB 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))

eval11.0ms (0.2%)

Memory: 16.4MiB live, 16.4MiB allocated
Compiler: Compiled 4 012 to 399 computations (90.1% saved)

prune4.0ms (0.1%)

Memory

8.8MiB live, 8.8MiB allocated

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	105	0	105
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	105	6	111

Accuracy

100.0%

Counts

111 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (+.f64 z x) y x)
✓	60.4%	#s(approx (+ (* y x) (+ (* z y) x)) (fma.f64 y x (*.f64 z y)))
✓	61.5%	#s(approx (+ (* y x) (+ (* z y) x)) (*.f64 (+.f64 z x) y))
✓	62.2%	#s(approx (+ x (* y (+ z x))) (fma.f64 y x x))
✓	40.5%	#s(approx (+ x (* y (+ z x))) (*.f64 z y))
✓	25.0%	#s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x)))

Compiler

Compiled 168 to 80 computations (52.4% saved)

regimes13.0ms (0.3%)

Memory

12.7MiB live, 12.7MiB 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
(fma.f64 (+.f64 z x) y x)

Calls

4 calls:

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

Results

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

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes87.0ms (1.8%)

Memory

-38.4MiB live, 7.9MiB allocated

Counts

4 → 8

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

Calls

4 calls:

81.0ms	(+.f64 x (*.f64 y (+.f64 z x)))
2.0ms	x
2.0ms	z
2.0ms	y

Results

Accuracy	Segments	Branch
76.5%	10	`(+.f64 x (*.f64 y (+.f64 z x)))`
82.2%	8	`x`
88.0%	8	`y`
84.8%	9	`z`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes3.0ms (0.1%)

Memory

3.5MiB live, 3.5MiB allocated

Counts

3 → 6

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

2 calls:

2.0ms	y
1.0ms	z

Results

Accuracy	Segments	Branch
79.8%	6	`z`
69.0%	7	`y`

Compiler

Compiled 2 to 6 computations (-200% saved)

regimes5.0ms (0.1%)

Memory

5.1MiB live, 5.1MiB allocated

Counts

2 → 6

Calls

Call 1

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

Outputs
#s(approx (+ x (* y (+ z x))) (*.f64 z y))
#s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x)))
#s(approx (+ x (* y (+ z x))) (*.f64 z y))
#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	z
1.0ms	x
1.0ms	y
1.0ms	(+.f64 x (*.f64 y (+.f64 z x)))

Results

Accuracy	Segments	Branch
40.5%	1	`y`
40.5%	1	`(+.f64 x (*.f64 y (+.f64 z x)))`
51.0%	11	`x`
53.3%	6	`z`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes3.0ms (0.1%)

Memory

3.8MiB live, 3.8MiB 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	y
1.0ms	z
1.0ms	x
1.0ms	(+.f64 x (*.f64 y (+.f64 z x)))

Results

Accuracy	Segments	Branch
25.0%	1	`x`
25.0%	1	`y`
25.0%	1	`(+.f64 x (*.f64 y (+.f64 z x)))`
25.0%	1	`z`

Compiler

Compiled 10 to 15 computations (-50% saved)

bsearch199.0ms (4.2%)

Memory

-9.7MiB live, 87.6MiB allocated

Algorithm

7×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
7.0ms	1.614279230271604e+263	1.9290390987894829e+264
8.0ms	1.757156042870841e-56	1.0481471379766748e-54
10.0ms	1.5139901078750318e-82	3.2317609191928e-77
115.0ms	1.2623153889469893e-123	1.2923041629524842e-114
9.0ms	-1.866822285704278e-51	-6.153866894797614e-55
12.0ms	-6.963559994931142e-36	-1.866822285704278e-51
10.0ms	-27.60948695710258	-0.0012828904660581921

Samples

117.0ms

912×

valid

Compiler

Compiled 1 435 to 1 098 computations (23.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-add: 9.0ms (59.1% of total)

ival-mult: 6.0ms (39.4% of total)

ival-true: 1.0ms (6.6% of total)

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

bsearch67.0ms (1.4%)

Memory

1.8MiB live, 47.3MiB allocated

Algorithm

5×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
7.0ms	1.5178152484211207e+290	7.129351165659834e+290
11.0ms	1.7226489613711797e+103	4.3037409643210073e+111
5.0ms	8.711980838261045e+61	1.4304930455188581e+62
11.0ms	0.6067543884485365	11231685.903199444
11.0ms	-1.3444861175681493e+83	-7.355964746086145e+74

Samples

23.0ms

592×

valid

Compiler

Compiled 891 to 696 computations (21.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-add: 6.0ms (60.9% of total)

ival-mult: 4.0ms (40.6% of total)

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

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

bsearch73.0ms (1.5%)

Memory

7.9MiB live, 53.4MiB allocated

Algorithm

5×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
29.0ms	4.523781442722455e+300	6.427002041007433e+307
9.0ms	7.727365664786351e-190	4.7801643718250205e-186
12.0ms	-1.3067957511197218e-236	-6.571252218045659e-249
10.0ms	-9.193486092764986e-219	-8.511622030476971e-223
8.0ms	-6.064660774254704e+73	-1.4541414754043768e+72

Samples

44.0ms

672×

valid

Compiler

Compiled 1 186 to 894 computations (24.6% saved)

Precisions

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

ival-add: 6.0ms (52.5% of total)

ival-mult: 4.0ms (35% of total)

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

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

simplify41.0ms (0.9%)

Memory

35.9MiB live, 35.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	73	338
1	95	324
2	135	308
3	214	298
4	324	298
5	729	298
6	3419	298

Stop Event

1×	node limit

Calls

Call 1

Inputs
(fma.f64 (+.f64 z x) y x)
(if (<=.f64 y #s(literal -3152519739159347/2251799813685248 binary64)) #s(approx (+ (* y x) (+ (* z y) x)) (.f64 (+.f64 z x) y)) (if (<=.f64 y #s(literal -68962299338965/191561942608236107294793378393788647952342390272950272 binary64)) #s(approx (+ x ( y (+ z x))) (fma.f64 y x x)) (if (<=.f64 y #s(literal -6234487666778585/3369993333393829974333376885877453834204643052817571560137951281152 binary64)) #s(approx (+ x (* y (+ z x))) (.f64 z y)) (if (<=.f64 y #s(literal 4990805449417467/5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315648 binary64)) #s(approx (+ x ( y (+ z x))) (fma.f64 y x x)) (if (<=.f64 y #s(literal 8714827106557313/8543948143683640329580086824678208458410818089426611079788166431288878903122562200091848347746304 binary64)) #s(approx (+ x (* y (+ z x))) (.f64 z y)) (if (<=.f64 y #s(literal 2042916918650007/27606985387162255149739023449108101809804435888681546220650096895197184 binary64)) #s(approx (+ x ( y (+ z x))) (fma.f64 y x x)) (if (<=.f64 y #s(literal 1900000000000000072679914072346765060168056180935170636231532365109383208244678567656259591523538394313505761529595001807560956351342775507841365760102877192085044944300389171646034178752593765264578237283940445829664008553314056949605180016684620183547383052763136 binary64)) #s(approx (+ (* y x) (+ (* z y) x)) (.f64 (+.f64 z x) y)) #s(approx (+ x ( y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))))))))))
(if (<=.f64 z #s(literal -51000000000000002514737958129500495109628382089585180213805824264321169337205391360 binary64)) #s(approx (+ x (* y (+ z x))) (.f64 z y)) (if (<=.f64 z #s(literal 3800000 binary64)) #s(approx (+ x ( y (+ z x))) (fma.f64 y x x)) (if (<=.f64 z #s(literal 110000000000000007277814117031781004890574676256931335483949056 binary64)) #s(approx (+ x (* y (+ z x))) (.f64 z y)) (if (<=.f64 z #s(literal 35000000000000000067048628000713405767558429454281720390348123010978276347139606458643265078786311323648 binary64)) #s(approx (+ x ( y (+ z x))) (fma.f64 y x x)) (if (<=.f64 z #s(literal 700000000000000025898328273253531028422590545529691718407447815825539326488753577873726980682365162428312679989293149984551560358988100652550715917784910915254152468490529119168928339957297677349919330500582320289465859868968214588585216772773754355128338452024707873643422437590849481080832 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 (<=.f64 z #s(literal -9800000000000000116199806683021627193313422680215951920007680116456947712 binary64)) #s(approx (+ x (* y (+ z x))) (.f64 z y)) (if (<=.f64 z #s(literal -1400022561590985/1627933211152308172382776316094057079381044512284157265721742629825204403764070329961287158415906809263410622703474912218234570716337735615323084973713581554222450580936038710562274972146438970881094974642550439936936217782587026682413056 binary64)) #s(approx (+ x ( y (+ z x))) #s(approx (+ (* y x) x) (.f64 y x))) (if (<=.f64 z #s(literal -744611501880349/57277807836949922408837567867349676981443478344341305058882899404622128010705808318690568531649256750858719018437999440148793721514146753400890052083129159241025748615958424204533602522957957552490080016463490494951861107213475167230717574212948590592 binary64)) #s(approx (+ x ( y (+ z x))) (.f64 z y)) (if (<=.f64 z #s(literal 704214475906993/153090103458041951154620325043801237641319743206933311288544235956760011447392195175450369025277569052617268428910122535686807015741471080782585043071649294869136754165183653769539196448293593632735232 binary64)) #s(approx (+ x ( y (+ z x))) #s(approx (+ (* y x) x) (.f64 y x))) (if (<=.f64 z #s(literal 64000000000000001101828134191133109045189620800847294869049089145112362959652803071226908920029414052390792887148690627859907150434108705324604083565532201607848224938843421462847527997953813091244110347218198190723885829685069712348140456327666850976352794599550857168810935226804247223175625903944144781312 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
(fma.f64 (+.f64 z x) y x)
(if (<=.f64 y #s(literal -3152519739159347/2251799813685248 binary64)) #s(approx (+ (* y x) (+ (* z y) x)) (.f64 (+.f64 z x) y)) (if (<=.f64 y #s(literal -68962299338965/191561942608236107294793378393788647952342390272950272 binary64)) #s(approx (+ x ( y (+ z x))) (fma.f64 y x x)) (if (<=.f64 y #s(literal -6234487666778585/3369993333393829974333376885877453834204643052817571560137951281152 binary64)) #s(approx (+ x (* y (+ z x))) (.f64 z y)) (if (<=.f64 y #s(literal 4990805449417467/5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315648 binary64)) #s(approx (+ x ( y (+ z x))) (fma.f64 y x x)) (if (<=.f64 y #s(literal 8714827106557313/8543948143683640329580086824678208458410818089426611079788166431288878903122562200091848347746304 binary64)) #s(approx (+ x (* y (+ z x))) (.f64 z y)) (if (<=.f64 y #s(literal 2042916918650007/27606985387162255149739023449108101809804435888681546220650096895197184 binary64)) #s(approx (+ x ( y (+ z x))) (fma.f64 y x x)) (if (<=.f64 y #s(literal 1900000000000000072679914072346765060168056180935170636231532365109383208244678567656259591523538394313505761529595001807560956351342775507841365760102877192085044944300389171646034178752593765264578237283940445829664008553314056949605180016684620183547383052763136 binary64)) #s(approx (+ (* y x) (+ (* z y) x)) (.f64 (+.f64 z x) y)) #s(approx (+ x ( y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))))))))))
(if (<=.f64 y #s(literal -3152519739159347/2251799813685248 binary64)) #s(approx (+ (* y x) (+ (* z y) x)) (.f64 (+.f64 z x) y)) (if (<=.f64 y #s(literal -68962299338965/191561942608236107294793378393788647952342390272950272 binary64)) #s(approx (+ ( y x) (+ (* z y) x)) (fma.f64 y x x)) (if (<=.f64 y #s(literal -6234487666778585/3369993333393829974333376885877453834204643052817571560137951281152 binary64)) #s(approx (+ (* y x) (+ (* z y) x)) (.f64 z y)) (if (<=.f64 y #s(literal 4990805449417467/5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315648 binary64)) #s(approx (+ ( y x) (+ (* z y) x)) (fma.f64 y x x)) (if (<=.f64 y #s(literal 8714827106557313/8543948143683640329580086824678208458410818089426611079788166431288878903122562200091848347746304 binary64)) #s(approx (+ (* y x) (+ (* z y) x)) (.f64 z y)) (if (<=.f64 y #s(literal 2042916918650007/27606985387162255149739023449108101809804435888681546220650096895197184 binary64)) #s(approx (+ ( y x) (+ (* z y) x)) (fma.f64 y x x)) (if (<=.f64 y #s(literal 1900000000000000072679914072346765060168056180935170636231532365109383208244678567656259591523538394313505761529595001807560956351342775507841365760102877192085044944300389171646034178752593765264578237283940445829664008553314056949605180016684620183547383052763136 binary64)) #s(approx (+ (* y x) (+ (* z y) x)) (.f64 (+.f64 z x) y)) #s(approx (+ ( y x) (+ (* z y) x)) #s(approx (+ (* y x) x) (*.f64 y x))))))))))
(if (<=.f64 z #s(literal -51000000000000002514737958129500495109628382089585180213805824264321169337205391360 binary64)) #s(approx (+ x (* y (+ z x))) (.f64 z y)) (if (<=.f64 z #s(literal 3800000 binary64)) #s(approx (+ x ( y (+ z x))) (fma.f64 y x x)) (if (<=.f64 z #s(literal 110000000000000007277814117031781004890574676256931335483949056 binary64)) #s(approx (+ x (* y (+ z x))) (.f64 z y)) (if (<=.f64 z #s(literal 35000000000000000067048628000713405767558429454281720390348123010978276347139606458643265078786311323648 binary64)) #s(approx (+ x ( y (+ z x))) (fma.f64 y x x)) (if (<=.f64 z #s(literal 700000000000000025898328273253531028422590545529691718407447815825539326488753577873726980682365162428312679989293149984551560358988100652550715917784910915254152468490529119168928339957297677349919330500582320289465859868968214588585216772773754355128338452024707873643422437590849481080832 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 (<=.f64 z #s(literal -51000000000000002514737958129500495109628382089585180213805824264321169337205391360 binary64)) #s(approx (+ (* y x) (+ (* z y) x)) (.f64 z y)) (if (<=.f64 z #s(literal 3800000 binary64)) #s(approx (+ ( y x) (+ (* z y) x)) (fma.f64 y x x)) (if (<=.f64 z #s(literal 110000000000000007277814117031781004890574676256931335483949056 binary64)) #s(approx (+ (* y x) (+ (* z y) x)) (.f64 z y)) (if (<=.f64 z #s(literal 35000000000000000067048628000713405767558429454281720390348123010978276347139606458643265078786311323648 binary64)) #s(approx (+ ( y x) (+ (* z y) x)) (fma.f64 y x x)) (if (<=.f64 z #s(literal 700000000000000025898328273253531028422590545529691718407447815825539326488753577873726980682365162428312679989293149984551560358988100652550715917784910915254152468490529119168928339957297677349919330500582320289465859868968214588585216772773754355128338452024707873643422437590849481080832 binary64)) #s(approx (+ (* y x) (+ (* z y) x)) (.f64 z y)) #s(approx (+ ( y x) (+ (* z y) x)) #s(approx (+ (* y x) x) (*.f64 y x))))))))
(if (<=.f64 z #s(literal -9800000000000000116199806683021627193313422680215951920007680116456947712 binary64)) #s(approx (+ x (* y (+ z x))) (.f64 z y)) (if (<=.f64 z #s(literal -1400022561590985/1627933211152308172382776316094057079381044512284157265721742629825204403764070329961287158415906809263410622703474912218234570716337735615323084973713581554222450580936038710562274972146438970881094974642550439936936217782587026682413056 binary64)) #s(approx (+ x ( y (+ z x))) #s(approx (+ (* y x) x) (.f64 y x))) (if (<=.f64 z #s(literal -744611501880349/57277807836949922408837567867349676981443478344341305058882899404622128010705808318690568531649256750858719018437999440148793721514146753400890052083129159241025748615958424204533602522957957552490080016463490494951861107213475167230717574212948590592 binary64)) #s(approx (+ x ( y (+ z x))) (.f64 z y)) (if (<=.f64 z #s(literal 704214475906993/153090103458041951154620325043801237641319743206933311288544235956760011447392195175450369025277569052617268428910122535686807015741471080782585043071649294869136754165183653769539196448293593632735232 binary64)) #s(approx (+ x ( y (+ z x))) #s(approx (+ (* y x) x) (.f64 y x))) (if (<=.f64 z #s(literal 64000000000000001101828134191133109045189620800847294869049089145112362959652803071226908920029414052390792887148690627859907150434108705324604083565532201607848224938843421462847527997953813091244110347218198190723885829685069712348140456327666850976352794599550857168810935226804247223175625903944144781312 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 z #s(literal -9800000000000000116199806683021627193313422680215951920007680116456947712 binary64)) (not (or (<=.f64 z #s(literal -1400022561590985/1627933211152308172382776316094057079381044512284157265721742629825204403764070329961287158415906809263410622703474912218234570716337735615323084973713581554222450580936038710562274972146438970881094974642550439936936217782587026682413056 binary64)) (not (or (<=.f64 z #s(literal -744611501880349/57277807836949922408837567867349676981443478344341305058882899404622128010705808318690568531649256750858719018437999440148793721514146753400890052083129159241025748615958424204533602522957957552490080016463490494951861107213475167230717574212948590592 binary64)) (not (or (<=.f64 z #s(literal 704214475906993/153090103458041951154620325043801237641319743206933311288544235956760011447392195175450369025277569052617268428910122535686807015741471080782585043071649294869136754165183653769539196448293593632735232 binary64)) (not (<=.f64 z #s(literal 64000000000000001101828134191133109045189620800847294869049089145112362959652803071226908920029414052390792887148690627859907150434108705324604083565532201607848224938843421462847527997953813091244110347218198190723885829685069712348140456327666850976352794599550857168810935226804247223175625903944144781312 binary64)))))))))) #s(approx (+ (* y x) (+ (* z y) x)) (.f64 z y)) #s(approx (+ ( y x) (+ (* z y) x)) #s(approx (+ (* y x) x) (*.f64 y x))))
#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 (21.9%)

Memory

-3.2MiB live, 324.5MiB allocated

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

Stop Event

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

Compiler

Compiled 397 to 142 computations (64.2% saved)

preprocess43.0ms (0.9%)

Memory: 14.3MiB live, 60.0MiB allocated
Compiler: Compiled 678 to 160 computations (76.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample737.0ms (15.6%)

explain73.0ms (1.5%)

preprocess86.0ms (1.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify29.0ms (0.6%)

localize19.0ms (0.4%)

series29.0ms (0.6%)

simplify160.0ms (3.4%)

rewrite242.0ms (5.1%)

eval41.0ms (0.9%)

prune3.0ms (0.1%)

simplify42.0ms (0.9%)

localize46.0ms (1%)

series7.0ms (0.2%)

simplify145.0ms (3.1%)

rewrite208.0ms (4.4%)

eval26.0ms (0.6%)

prune13.0ms (0.3%)

simplify23.0ms (0.5%)

localize59.0ms (1.2%)

series5.0ms (0.1%)

simplify197.0ms (4.2%)

rewrite286.0ms (6%)

eval51.0ms (1.1%)

prune3.0ms (0.1%)

simplify23.0ms (0.5%)

localize41.0ms (0.9%)

series3.0ms (0.1%)

simplify182.0ms (3.8%)

rewrite365.0ms (7.7%)

eval11.0ms (0.2%)

prune4.0ms (0.1%)

regimes13.0ms (0.3%)

regimes87.0ms (1.8%)

regimes3.0ms (0.1%)

regimes5.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch199.0ms (4.2%)

bsearch67.0ms (1.4%)

bsearch73.0ms (1.5%)

simplify41.0ms (0.9%)

soundness1.0s (21.9%)

preprocess43.0ms (0.9%)

end0.0ms (0%)

Profiling