Metrics for Main:bigenough2 from A

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample766.0ms (21.2%)

Memory

23.7MiB live, 717.4MiB allocated

Samples

528.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 362.0ms

ival-add: 265.0ms (73.2% of total)

ival-mult: 88.0ms (24.3% of total)

ival-true: 6.0ms (1.7% of total)

ival-assert: 3.0ms (0.8% of total)

Bogosity

explain63.0ms (1.7%)

Memory

-11.3MiB live, 115.8MiB 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

24.0ms

512×

valid

Compiler

Compiled 65 to 28 computations (56.9% saved)

Precisions

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

ival-add: 5.0ms (53.5% of total)

ival-mult: 3.0ms (32.1% of total)

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

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

preprocess85.0ms (2.4%)

Memory

-11.9MiB live, 67.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB 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)

simplify24.0ms (0.7%)

Memory

-4.7MiB live, 33.4MiB 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

localize17.0ms (0.5%)

Memory

30.2MiB live, 30.2MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 z x)
accuracy	0.00390625	(*.f64 y (+.f64 z x))
accuracy	0.01171875	(+.f64 x (*.f64 y (+.f64 z x)))

Samples

13.0ms

256×

valid

Compiler

Compiled 38 to 14 computations (63.2% saved)

Precisions

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

ival-add: 3.0ms (48.9% of total)

ival-mult: 3.0ms (48.9% of total)

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

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

series5.0ms (0.1%)

Memory

6.7MiB live, 6.7MiB allocated

Counts

3 → 27

Calls

Call 1

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

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

Calls

9 calls:

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

simplify155.0ms (4.3%)

Memory

6.3MiB live, 77.6MiB 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)

rewrite350.0ms (9.7%)

Memory

-95.3MiB live, 192.1MiB 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)

eval24.0ms (0.7%)

Memory: 4.2MiB live, 40.7MiB allocated
Compiler: Compiled 5 379 to 675 computations (87.5% saved)

prune3.0ms (0.1%)

Memory

11.4MiB live, 11.4MiB 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)
▶	98.0%	(fma.f64 z y (fma.f64 y x x))
▶	63.0%	#s(approx (+ x (* y (+ z x))) (fma.f64 y x x))
▶	40.4%	#s(approx (+ x (* y (+ z x))) (*.f64 z y))

Compiler

Compiled 36 to 26 computations (27.8% saved)

simplify24.0ms (0.7%)

Memory

-2.9MiB live, 33.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	60
0	20	57
1	37	57
2	76	57
3	155	57
4	255	57
5	358	57
6	622	57
7	862	57
8	1117	57
9	1257	57
10	1261	57
0	1261	57

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize39.0ms (1.1%)

Memory

-30.4MiB live, 56.3MiB 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 y x x)
accuracy	1.249986238027801	(fma.f64 z y (fma.f64 y x x))
accuracy	0.0	(fma.f64 y x x)
accuracy	23.696543200025456	#s(approx (+ x (* y (+ z x))) (fma.f64 y x x))
accuracy	0.0	(*.f64 z y)
accuracy	38.12244633203083	#s(approx (+ x (* y (+ z x))) (*.f64 z y))

Samples

27.0ms

256×

valid

Compiler

Compiled 118 to 27 computations (77.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-add: 9.0ms (53.9% of total)

ival-mult: 8.0ms (47.9% of total)

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

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

series7.0ms (0.2%)

Memory

12.5MiB live, 12.5MiB allocated

Counts

7 → 26

Calls

Call 1

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

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

Calls

9 calls:

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

simplify135.0ms (3.7%)

Memory

3.0MiB live, 162.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	148
1	271	128
2	819	128
3	2583	128
4	5479	128
5	7574	128
0	8048	113

Stop Event

1×	iter limit
1×	node limit

Counts

26 → 24

Calls

Call 1

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

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

rewrite175.0ms (4.8%)

Memory

17.2MiB live, 207.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	46
0	20	43
1	97	43
2	736	43
0	8311	43

Stop Event

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

Counts

7 → 293

Calls

Call 1

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

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

eval26.0ms (0.7%)

Memory: 11.9MiB live, 49.7MiB allocated
Compiler: Compiled 7 557 to 672 computations (91.1% saved)

prune6.0ms (0.2%)

Memory

-22.3MiB live, 15.3MiB allocated

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	232	3	235
Fresh	0	0	0
Picked	1	3	4
Done	0	0	0
Total	233	6	239

Accuracy

100.0%

Counts

239 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (+.f64 z x) y x)
▶	61.2%	(fma.f64 z y #s(approx (+ (* y x) x) (*.f64 y x)))
▶	63.2%	#s(approx (+ (* z y) (+ (* y x) x)) (*.f64 (+.f64 z x) y))
✓	63.0%	#s(approx (+ x (* y (+ z x))) (fma.f64 y x x))
✓	40.4%	#s(approx (+ x (* y (+ z x))) (*.f64 z y))
▶	26.4%	#s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x)))

Compiler

Compiled 73 to 50 computations (31.5% saved)

simplify22.0ms (0.6%)

Memory

22.2MiB live, 22.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	84
0	21	82
1	39	82
2	80	82
3	160	82
4	263	82
5	366	82
6	630	82
7	870	82
8	1139	82
9	1283	82
10	1287	82
0	1287	76

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize73.0ms (2%)

Memory

-43.3MiB live, 47.2MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 y x)
accuracy	1.249986238027801	(fma.f64 z y #s(approx (+ (* y x) x) (*.f64 y x)))
accuracy	31.790609433164278	#s(approx (+ (* y x) x) (*.f64 y x))
accuracy	0.0	(+.f64 z x)
accuracy	0.00390625	(*.f64 (+.f64 z x) y)
accuracy	23.578295961512726	#s(approx (+ (* z y) (+ (* y x) x)) (*.f64 (+.f64 z x) y))
accuracy	0.0	(*.f64 y x)
accuracy	23.696543200025456	#s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x)))
accuracy	31.790609433164278	#s(approx (+ (* y x) x) (*.f64 y x))

Samples

56.0ms

256×

valid

Compiler

Compiled 143 to 30 computations (79% saved)

Precisions

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

ival-mult: 6.0ms (54.3% of total)

ival-add: 5.0ms (45.2% of total)

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

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

series5.0ms (0.1%)

Memory

7.1MiB live, 7.1MiB allocated

Counts

7 → 31

Calls

Call 1

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

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

Calls

9 calls:

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

simplify127.0ms (3.5%)

Memory

5.0MiB live, 120.3MiB 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)

rewrite194.0ms (5.4%)

Memory

12.5MiB live, 201.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	64
0	21	62
1	94	62
2	760	62
0	8318	57

Stop Event

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

Counts

7 → 101

Calls

Call 1

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

Outputs
#s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x)))
#s(approx (+ (* y x) x) (*.f64 y x))
(*.f64 y x)
(*.f64 x y)
#s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y))
(*.f64 (+.f64 z x) y)
(*.f64 y (-.f64 z (neg.f64 x)))
(*.f64 y (+.f64 z x))
(/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 z y) #s(literal 2 binary64))) (-.f64 (.f64 y x) (.f64 z y)))
(/.f64 (-.f64 (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 x) y) #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 x) y)))))
(/.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 z y) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) (.f64 (.f64 y x) (*.f64 z y)))))
(/.f64 (neg.f64 (.f64 (.f64 (+.f64 z x) (-.f64 z x)) y)) (neg.f64 (-.f64 z x)))
(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) y)) (neg.f64 (fma.f64 x (-.f64 x z) (.f64 z z))))
(/.f64 (neg.f64 (.f64 (.f64 y (-.f64 z x)) (.f64 (+.f64 z x) y))) (neg.f64 (.f64 y (-.f64 z x))))
(/.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 (.f64 y x) (.f64 z y))))))
(/.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 (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 (.f64 y x) (.f64 z y)))))
(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 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 z y) (.f64 (neg.f64 x) y))
(-.f64 (.f64 y x) (.f64 (neg.f64 y) z))
(+.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 (.f64 y x) (.f64 z y))))) (/.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 (.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 y x) (.f64 z y))
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eval18.0ms (0.5%)

Memory: -8.6MiB live, 29.2MiB allocated
Compiler: Compiled 4 425 to 403 computations (90.9% saved)

prune5.0ms (0.1%)

Memory

12.8MiB live, 12.8MiB allocated

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	115	0	115
Fresh	0	0	0
Picked	0	3	3
Done	0	3	3
Total	115	6	121

Accuracy

100.0%

Counts

121 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (+.f64 z x) y x)
✓	61.2%	(fma.f64 z y #s(approx (+ (* y x) x) (*.f64 y x)))
✓	63.2%	#s(approx (+ (* z y) (+ (* y x) x)) (*.f64 (+.f64 z x) y))
✓	63.0%	#s(approx (+ x (* y (+ z x))) (fma.f64 y x x))
✓	40.4%	#s(approx (+ x (* y (+ z x))) (*.f64 z y))
✓	26.4%	#s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x)))

Compiler

Compiled 160 to 75 computations (53.1% saved)

regimes12.0ms (0.3%)

Memory

25.0MiB live, 25.0MiB allocated

Counts

8 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes10.0ms (0.3%)

Memory

-18.5MiB live, 19.7MiB allocated

Counts

4 → 3

Calls

Call 1

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

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

Calls

4 calls:

3.0ms	(+.f64 x (*.f64 y (+.f64 z x)))
2.0ms	y
2.0ms	x
2.0ms	z

Results

Accuracy	Segments	Branch
81.8%	3	`x`
87.0%	3	`y`
81.1%	3	`z`
74.8%	3	`(+.f64 x (*.f64 y (+.f64 z x)))`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes5.0ms (0.2%)

Memory

11.3MiB live, 11.3MiB allocated

Counts

3 → 3

Calls

Call 1

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

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

Calls

3 calls:

2.0ms	y
2.0ms	x
2.0ms	z

Results

Accuracy	Segments	Branch
79.7%	3	`z`
76.1%	3	`x`
69.4%	3	`y`

Compiler

Compiled 3 to 9 computations (-200% saved)

regimes32.0ms (0.9%)

Memory

-33.7MiB live, 13.2MiB allocated

Counts

2 → 3

Calls

Call 1

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

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

Calls

4 calls:

28.0ms	(+.f64 x (*.f64 y (+.f64 z x)))
1.0ms	y
1.0ms	x
1.0ms	z

Results

Accuracy	Segments	Branch
43.8%	3	`y`
42.8%	2	`(+.f64 x (*.f64 y (+.f64 z x)))`
50.1%	3	`x`
53.7%	3	`z`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes5.0ms (0.1%)

Memory

11.2MiB live, 11.2MiB 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	x
1.0ms	z
1.0ms	y
1.0ms	(+.f64 x (*.f64 y (+.f64 z x)))

Results

Accuracy	Segments	Branch
26.4%	1	`y`
26.4%	1	`(+.f64 x (*.f64 y (+.f64 z x)))`
26.4%	1	`x`
26.4%	1	`z`

Compiler

Compiled 10 to 15 computations (-50% saved)

bsearch22.0ms (0.6%)

Memory

-2.2MiB live, 35.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	45782866.327529274	1071624820607.5675
8.0ms	-569576.2878373882	-15135.145921771238

Samples

12.0ms

240×

valid

Compiler

Compiled 415 to 312 computations (24.8% saved)

Precisions

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

ival-add: 2.0ms (46.6% of total)

ival-mult: 2.0ms (46.6% of total)

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

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

bsearch18.0ms (0.5%)

Memory

4.8MiB live, 40.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	2.9163140048764576e+87	8.442432045483991e+87
8.0ms	-4.884775941000499e+162	-2.3589991564335983e+160

Samples

10.0ms

192×

valid

Compiler

Compiled 286 to 228 computations (20.3% saved)

Precisions

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

ival-add: 4.0ms (69.5% of total)

ival-mult: 1.0ms (17.4% of total)

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

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

bsearch42.0ms (1.2%)

Memory

-1.7MiB live, 37.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
30.0ms	2.2937629874259976e-68	1.1957910972124565e-59
9.0ms	-5.90358735793542e-45	-2.037771190576733e-49

Samples

30.0ms

272×

valid

Compiler

Compiled 486 to 369 computations (24.1% saved)

Precisions

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

ival-add: 3.0ms (63.4% of total)

ival-mult: 2.0ms (42.3% of total)

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

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

simplify92.0ms (2.6%)

Memory

-16.6MiB live, 36.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	126
1	66	126
2	105	126
3	186	126
4	309	126
5	733	126
6	3554	126

Stop Event

1×	node limit

Calls

Call 1

Inputs
(fma.f64 (+.f64 z x) y x)
(if (<=.f64 y #s(literal -15200 binary64)) #s(approx (+ (* z y) (+ (* y x) x)) (.f64 (+.f64 z x) y)) (if (<=.f64 y #s(literal 46000000 binary64)) #s(approx (+ x ( y (+ z x))) (fma.f64 y x x)) #s(approx (+ (* z y) (+ (* y x) x)) (*.f64 (+.f64 z x) y))))
(if (<=.f64 z #s(literal -24000000000000001405381206008034329916934833074593563383716483975237688610474418592173505551879528934081663153846010348395772730919153631034033188476365997867008 binary64)) #s(approx (+ x (* y (+ z x))) (.f64 z y)) (if (<=.f64 z #s(literal 7199999999999999884485122563561044625072121919760701948370510558170164057407491992977408 binary64)) #s(approx (+ x ( y (+ z x))) (fma.f64 y x x)) #s(approx (+ x (* y (+ z x))) (*.f64 z y))))
(if (<=.f64 z #s(literal -3027728385471019/13164036458569648337239753460458804039861886925068638906788872192 binary64)) #s(approx (+ x (* y (+ z x))) (.f64 z y)) (if (<=.f64 z #s(literal 6313673899733619/121416805764108066932466369176469931665150427440758720078238275608681517825325531136 binary64)) #s(approx (+ x ( y (+ z x))) #s(approx (+ (* y x) x) (.f64 y x))) #s(approx (+ x ( y (+ z x))) (*.f64 z y))))
#s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x)))

Outputs
(fma.f64 (+.f64 z x) y x)
(if (<=.f64 y #s(literal -15200 binary64)) #s(approx (+ (* z y) (+ (* y x) x)) (.f64 (+.f64 z x) y)) (if (<=.f64 y #s(literal 46000000 binary64)) #s(approx (+ x ( y (+ z x))) (fma.f64 y x x)) #s(approx (+ (* z y) (+ (* y x) x)) (*.f64 (+.f64 z x) y))))
(if (or (<=.f64 y #s(literal -15200 binary64)) (not (<=.f64 y #s(literal 46000000 binary64)))) #s(approx (+ (* z y) (+ (* y x) x)) (.f64 (+.f64 z x) y)) #s(approx (+ ( z y) (+ (* y x) x)) (fma.f64 y x x)))
(if (<=.f64 z #s(literal -24000000000000001405381206008034329916934833074593563383716483975237688610474418592173505551879528934081663153846010348395772730919153631034033188476365997867008 binary64)) #s(approx (+ x (* y (+ z x))) (.f64 z y)) (if (<=.f64 z #s(literal 7199999999999999884485122563561044625072121919760701948370510558170164057407491992977408 binary64)) #s(approx (+ x ( y (+ z x))) (fma.f64 y x x)) #s(approx (+ x (* y (+ z x))) (*.f64 z y))))
(if (or (<=.f64 z #s(literal -24000000000000001405381206008034329916934833074593563383716483975237688610474418592173505551879528934081663153846010348395772730919153631034033188476365997867008 binary64)) (not (<=.f64 z #s(literal 7199999999999999884485122563561044625072121919760701948370510558170164057407491992977408 binary64)))) #s(approx (+ (* z y) (+ (* y x) x)) (.f64 z y)) #s(approx (+ ( z y) (+ (* y x) x)) (fma.f64 y x x)))
(if (<=.f64 z #s(literal -3027728385471019/13164036458569648337239753460458804039861886925068638906788872192 binary64)) #s(approx (+ x (* y (+ z x))) (.f64 z y)) (if (<=.f64 z #s(literal 6313673899733619/121416805764108066932466369176469931665150427440758720078238275608681517825325531136 binary64)) #s(approx (+ x ( y (+ z x))) #s(approx (+ (* y x) x) (.f64 y x))) #s(approx (+ x ( y (+ z x))) (*.f64 z y))))
(if (or (<=.f64 z #s(literal -3027728385471019/13164036458569648337239753460458804039861886925068638906788872192 binary64)) (not (<=.f64 z #s(literal 6313673899733619/121416805764108066932466369176469931665150427440758720078238275608681517825325531136 binary64)))) #s(approx (+ (* z y) (+ (* y x) x)) (.f64 z y)) #s(approx (+ ( z y) (+ (* y x) 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 (+ (* z y) (+ (* y x) x)) #s(approx (+ (* y x) x) (*.f64 y x)))

soundness973.0ms (27%)

Memory

26.5MiB live, 376.4MiB allocated

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
0	6	15
0	9	15
1	44	15
2	373	15
3	4515	15
0	8133	14
0	75	148
1	271	128
2	819	128
3	2583	128
4	5479	128
5	7574	128
0	8048	113

Stop Event

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

Compiler

Compiled 194 to 89 computations (54.1% saved)

preprocess50.0ms (1.4%)

Memory: -3.0MiB live, 35.1MiB allocated
Compiler: Compiled 294 to 90 computations (69.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample766.0ms (21.2%)

explain63.0ms (1.7%)

preprocess85.0ms (2.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify24.0ms (0.7%)

localize17.0ms (0.5%)

series5.0ms (0.1%)

simplify155.0ms (4.3%)

rewrite350.0ms (9.7%)

eval24.0ms (0.7%)

prune3.0ms (0.1%)

simplify24.0ms (0.7%)

localize39.0ms (1.1%)

series7.0ms (0.2%)

simplify135.0ms (3.7%)

rewrite175.0ms (4.8%)

eval26.0ms (0.7%)

prune6.0ms (0.2%)

simplify22.0ms (0.6%)

localize73.0ms (2%)

series5.0ms (0.1%)

simplify127.0ms (3.5%)

rewrite194.0ms (5.4%)

eval18.0ms (0.5%)

prune5.0ms (0.1%)

regimes12.0ms (0.3%)

regimes10.0ms (0.3%)

regimes5.0ms (0.2%)

regimes32.0ms (0.9%)

regimes5.0ms (0.1%)

bsearch22.0ms (0.6%)

bsearch18.0ms (0.5%)

bsearch42.0ms (1.2%)

simplify92.0ms (2.6%)

soundness973.0ms (27%)

preprocess50.0ms (1.4%)

end0.0ms (0%)

Profiling