Metrics for Main:bigenough2 from A

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated; 0ms collecting garbage

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)

sample811.0ms (22.2%)

Memory

30.1MiB live, 1 064.2MiB allocated; 324ms collecting garbage

Samples

469.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 177.0ms

ival-add: 104.0ms (58.8% of total)

ival-mult: 61.0ms (34.5% of total)

ival-true: 6.0ms (3.4% of total)

adjust: 3.0ms (1.7% of total)

ival-assert: 3.0ms (1.7% of total)

Bogosity

explain92.0ms (2.5%)

Memory

21.2MiB live, 67.3MiB allocated; 4ms collecting garbage

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

23.0ms

512×

valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

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

ival-add: 5.0ms (52.1% of total)

ival-mult: 4.0ms (41.7% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess80.0ms (2.2%)

Memory

-15.9MiB live, 30.3MiB allocated; 3ms collecting garbage

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; 0ms collecting garbage
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

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)

simplify22.0ms (0.6%)

Memory

15.3MiB live, 15.3MiB allocated; 0ms collecting garbage

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

localize42.0ms (1.2%)

Memory

-30.4MiB live, 19.1MiB allocated; 8ms collecting garbage

Localize:

Found 3 expressions of interest:

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

Samples

37.0ms

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 (65.2% of total)

ival-mult: 2.0ms (43.5% of total)

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

adjust: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

5.0MiB live, 5.0MiB allocated; 0ms collecting garbage

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))

simplify170.0ms (4.7%)

Memory

25.3MiB live, 111.7MiB allocated; 18ms collecting garbage

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)

rewrite194.0ms (5.3%)

Memory

0.5MiB live, 146.6MiB allocated; 17ms collecting garbage

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

eval73.0ms (2%)

Memory: -19.8MiB live, 26.2MiB allocated; 3ms collecting garbage
Compiler: Compiled 5 379 to 675 computations (87.5% saved)

prune3.0ms (0.1%)

Memory

10.8MiB live, 10.8MiB allocated; 0ms collecting garbage

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)
▶	99.2%	(fma.f64 z y (fma.f64 y x x))
▶	61.7%	#s(approx (+ x (* y (+ z x))) (fma.f64 y x x))
▶	41.9%	#s(approx (+ x (* y (+ z x))) (*.f64 z y))

Compiler

Compiled 36 to 26 computations (27.8% saved)

simplify22.0ms (0.6%)

Memory

22.9MiB live, 22.9MiB allocated; 0ms collecting garbage

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

localize56.0ms (1.5%)

Memory

-26.8MiB live, 68.3MiB allocated; 14ms collecting garbage

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	0.5100920049795624	(fma.f64 z y (fma.f64 y x x))
accuracy	0.0	(fma.f64 y x x)
accuracy	24.504494825773012	#s(approx (+ x (* y (+ z x))) (fma.f64 y x x))
accuracy	0.0	(*.f64 z y)
accuracy	37.16107288103015	#s(approx (+ x (* y (+ z x))) (*.f64 z y))

Samples

29.0ms

256×

valid

Compiler

Compiled 58 to 14 computations (75.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-add: 11.0ms (62.5% of total)

ival-mult: 6.0ms (34.1% of total)

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

adjust: 0.0ms (0% of total)

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

series7.0ms (0.2%)

Memory

11.7MiB live, 11.7MiB allocated; 0ms collecting garbage

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))

simplify93.0ms (2.5%)

Memory

-1.9MiB live, 88.4MiB allocated; 9ms collecting garbage

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)

rewrite174.0ms (4.8%)

Memory

-12.2MiB live, 226.1MiB allocated; 33ms collecting garbage

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)

eval32.0ms (0.9%)

Memory: 11.4MiB live, 69.6MiB allocated; 5ms collecting garbage
Compiler: Compiled 7 557 to 672 computations (91.1% saved)

prune5.0ms (0.1%)

Memory

16.3MiB live, 16.3MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	233	2	235
Fresh	0	0	0
Picked	0	4	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)
✓	99.2%	(fma.f64 z y (fma.f64 y x x))
▶	67.1%	#s(approx (+ (* z y) (+ (* y x) x)) (*.f64 (+.f64 z x) y))
✓	61.7%	#s(approx (+ x (* y (+ z x))) (fma.f64 y x x))
✓	41.9%	#s(approx (+ x (* y (+ z x))) (*.f64 z y))
▶	29.3%	#s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x)))

Compiler

Compiled 68 to 47 computations (30.9% saved)

simplify22.0ms (0.6%)

Memory

-28.8MiB live, 18.0MiB allocated; 2ms collecting garbage

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 (+ (* 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	16	57
0	19	55
1	36	55
2	75	55
3	153	55
4	253	55
5	356	55
6	620	55
7	863	55
8	1126	55
9	1266	55
10	1270	55
0	1270	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 (+ (* z y) (+ (* y x) 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 (+ (* 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

localize38.0ms (1%)

Memory

35.0MiB live, 72.2MiB allocated; 11ms collecting garbage

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 z x)
accuracy	0.0078125	(*.f64 (+.f64 z x) y)
accuracy	21.035014886773236	#s(approx (+ (* z y) (+ (* y x) x)) (*.f64 (+.f64 z x) y))
accuracy	0.0	(*.f64 y x)
accuracy	24.504494825773012	#s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x)))
accuracy	30.708731689741263	#s(approx (+ (* y x) x) (*.f64 y x))

Samples

30.0ms

256×

valid

Compiler

Compiled 39 to 13 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-add: 15.0ms (69.8% of total)

ival-mult: 6.0ms (27.9% of total)

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

adjust: 0.0ms (0% of total)

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

series22.0ms (0.6%)

Memory

-20.4MiB live, 19.0MiB allocated; 19ms collecting garbage

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 (+ (* z y) (+ (* y x) 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
17.0ms	y	@	-inf	((+ x (* y (+ z x))) (+ (* y x) x) (* y x) (+ (* z y) (+ (* y x) x)) (* (+ z x) y) (+ z x))
1.0ms	x	@	-inf	((+ x (* y (+ z x))) (+ (* y x) x) (* y x) (+ (* z y) (+ (* y x) x)) (* (+ z x) y) (+ z x))
1.0ms	x	@	inf	((+ x (* y (+ z x))) (+ (* y x) x) (* y x) (+ (* z y) (+ (* y x) x)) (* (+ z x) y) (+ z x))
1.0ms	y	@	inf	((+ x (* y (+ z x))) (+ (* y x) x) (* y x) (+ (* z y) (+ (* y x) x)) (* (+ z x) y) (+ z x))
0.0ms	z	@	-inf	((+ x (* y (+ z x))) (+ (* y x) x) (* y x) (+ (* z y) (+ (* y x) x)) (* (+ z x) y) (+ z x))

simplify164.0ms (4.5%)

Memory

-5.5MiB live, 144.6MiB allocated; 34ms collecting garbage

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)

rewrite216.0ms (5.9%)

Memory

53.1MiB live, 276.9MiB allocated; 41ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	52
0	19	50
1	81	50
2	656	50
0	8500	46

Stop Event

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

Counts

6 → 67

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)

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 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 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 (*.f64 z x) y) y))))
(/.f64 (neg.f64 (.f64 (+.f64 z x) (.f64 (-.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 z x) (.f64 (-.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 (.f64 (+.f64 z x) y) (-.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 (.f64 (neg.f64 y) (+.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 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 (.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))
(/.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)

eval86.0ms (2.4%)

Memory: -30.2MiB live, 69.4MiB allocated; 58ms collecting garbage
Compiler: Compiled 2 165 to 299 computations (86.2% saved)

prune3.0ms (0.1%)

Memory

10.5MiB live, 10.5MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	75	1	76
Fresh	0	0	0
Picked	0	2	2
Done	1	3	4
Total	76	6	82

Accuracy

100.0%

Counts

82 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (+.f64 z x) y x)
▶	66.4%	#s(approx (+ (* z y) (+ (* y x) x)) (fma.f64 y x (*.f64 z y)))
✓	67.1%	#s(approx (+ (* z y) (+ (* y x) x)) (*.f64 (+.f64 z x) y))
✓	61.7%	#s(approx (+ x (* y (+ z x))) (fma.f64 y x x))
✓	41.9%	#s(approx (+ x (* y (+ z x))) (*.f64 z y))
✓	29.3%	#s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x)))

Compiler

Compiled 77 to 52 computations (32.5% saved)

simplify24.0ms (0.7%)

Memory

-15.5MiB live, 29.9MiB allocated; 5ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 z y)
cost-diff	0	#s(approx (+ (* z y) (+ (* y x) 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	25	24
2	63	24
3	130	24
4	235	24
5	354	24
6	605	24
7	832	24
8	1140	24
9	1294	24
10	1298	24
0	1298	23

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize24.0ms (0.7%)

Memory

-3.1MiB live, 40.9MiB allocated; 8ms collecting garbage

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 z y)
accuracy	0.5039007452111204	(fma.f64 y x (*.f64 z y))
accuracy	21.035014886773236	#s(approx (+ (* z y) (+ (* y x) x)) (fma.f64 y x (*.f64 z y)))

Samples

14.0ms

256×

valid

Compiler

Compiled 24 to 10 computations (58.3% saved)

Precisions

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

ival-add: 3.0ms (43% of total)

ival-mult: 3.0ms (43% of total)

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

adjust: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

7.9MiB live, 7.9MiB allocated; 0ms collecting garbage

Counts

3 → 22

Calls

Call 1

Inputs
(fma.f64 y x (*.f64 z y))
#s(approx (+ (* z y) (+ (* y x) 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)) (+ (* z y) (+ (* y x) x)) (* z y))
0.0ms	z	@	-inf	((+ (* y x) (* z y)) (+ (* z y) (+ (* y x) x)) (* z y))
0.0ms	y	@	inf	((+ (* y x) (* z y)) (+ (* z y) (+ (* y x) x)) (* z y))
0.0ms	x	@	-inf	((+ (* y x) (* z y)) (+ (* z y) (+ (* y x) x)) (* z y))
0.0ms	x	@	inf	((+ (* y x) (* z y)) (+ (* z y) (+ (* y x) x)) (* z y))

simplify117.0ms (3.2%)

Memory

-4.0MiB live, 138.7MiB allocated; 25ms collecting garbage

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)

rewrite257.0ms (7.1%)

Memory

26.8MiB live, 255.0MiB allocated; 57ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	25
0	12	24
1	58	21
2	505	21
3	7674	21
0	8340	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 (+ (* z y) (+ (* y x) 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 x y) #s(literal 9 binary64)) (pow.f64 (.f64 z 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 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 (.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 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 (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 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 (.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 (.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 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 (+ (* z y) (+ (* y x) x)) (*.f64 (+.f64 z x) y))
(*.f64 z y)
(*.f64 y z)
(neg.f64 (*.f64 (neg.f64 z) y))

eval36.0ms (1%)

Memory: -30.4MiB live, 28.0MiB allocated; 11ms collecting garbage
Compiler: Compiled 4 012 to 399 computations (90.1% saved)

prune29.0ms (0.8%)

Memory

19.6MiB live, 65.0MiB allocated; 3ms collecting garbage

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)
✓	66.4%	#s(approx (+ (* z y) (+ (* y x) x)) (fma.f64 y x (*.f64 z y)))
✓	67.1%	#s(approx (+ (* z y) (+ (* y x) x)) (*.f64 (+.f64 z x) y))
✓	61.7%	#s(approx (+ x (* y (+ z x))) (fma.f64 y x x))
✓	41.9%	#s(approx (+ x (* y (+ z x))) (*.f64 z y))
✓	29.3%	#s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x)))

Compiler

Compiled 168 to 78 computations (53.6% saved)

regimes28.0ms (0.8%)

Memory

-13.9MiB live, 32.3MiB allocated; 2ms collecting garbage

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

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

Calls

4 calls:

19.0ms	(+.f64 x (*.f64 y (+.f64 z x)))
3.0ms	z
3.0ms	x
3.0ms	y

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)

regimes8.0ms (0.2%)

Memory

20.5MiB live, 20.5MiB allocated; 0ms collecting garbage

Counts

4 → 3

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
75.8%	3	`(+.f64 x (*.f64 y (+.f64 z x)))`
82.3%	3	`x`
86.2%	3	`y`
84.2%	3	`z`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes5.0ms (0.1%)

Memory

13.8MiB live, 13.8MiB allocated; 0ms collecting garbage

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	z
2.0ms	x

Results

Accuracy	Segments	Branch
76.0%	3	`x`
81.3%	3	`z`
66.8%	4	`y`

Compiler

Compiled 3 to 9 computations (-200% saved)

regimes31.0ms (0.8%)

Memory

-32.2MiB live, 14.8MiB allocated; 2ms collecting garbage

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:

27.0ms	y
1.0ms	x
1.0ms	z
1.0ms	(+.f64 x (*.f64 y (+.f64 z x)))

Results

Accuracy	Segments	Branch
49.3%	4	`y`
45.0%	2	`(+.f64 x (*.f64 y (+.f64 z x)))`
53.0%	3	`x`
58.4%	3	`z`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes4.0ms (0.1%)

Memory

12.6MiB live, 12.6MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
29.3%	1	`(+.f64 x (*.f64 y (+.f64 z x)))`
29.3%	1	`y`
29.3%	1	`x`
29.3%	1	`z`

Compiler

Compiled 10 to 15 computations (-50% saved)

bsearch44.0ms (1.2%)

Memory

-24.4MiB live, 40.6MiB allocated; 14ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
29.0ms	1.0599366864934947e-75	1.1590694372343139e-60
13.0ms	-1.8763319233427046e-74	-5.040414884226044e-88

Samples

27.0ms

320×

valid

Compiler

Compiled 550 to 412 computations (25.1% saved)

Precisions

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

ival-add: 3.0ms (50.5% of total)

ival-mult: 2.0ms (33.7% of total)

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

adjust: 0.0ms (0% of total)

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

bsearch22.0ms (0.6%)

Memory

26.8MiB live, 26.8MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	5.913226756719905e+91	1.982563344352516e+109
7.0ms	-3.872131970329796e+70	-4.360243588630172e+69

Samples

10.0ms

256×

valid

Compiler

Compiled 378 to 300 computations (20.6% saved)

Precisions

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

ival-add: 3.0ms (65.4% of total)

ival-mult: 2.0ms (43.6% of total)

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

adjust: 0.0ms (0% of total)

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

bsearch28.0ms (0.8%)

Memory

-0.9MiB live, 43.2MiB allocated; 5ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	5.589878723733881e-90	4.477587743285312e-80
13.0ms	-1.9197265385389428e+30	-9.617366358916429e+26

Samples

15.0ms

288×

valid

Compiler

Compiled 514 to 390 computations (24.1% saved)

Precisions

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

ival-add: 6.0ms (75.9% of total)

ival-mult: 2.0ms (25.3% of total)

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

adjust: 0.0ms (0% of total)

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

simplify48.0ms (1.3%)

Memory

-0.6MiB live, 89.5MiB allocated; 7ms collecting garbage

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 -495407149444547/65185151242703554760590262029100101153646988597309960020356494379340201592426774597868716032 binary64)) #s(approx (+ (* z y) (+ (* y x) x)) (.f64 (+.f64 z x) y)) (if (<=.f64 y #s(literal 5928554968950589/29642774844752946028434172162224104410437116074403984394101141506025761187823616 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 -12799999999999999395906844817685351256480165293166297411893967806529536 binary64)) #s(approx (+ x (* y (+ z x))) (.f64 z y)) (if (<=.f64 z #s(literal 320000000000000006470041320689903036344350823428594477164088593986561281599412578994783304810496 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 -1080000000000000003355443200 binary64)) #s(approx (+ x (* y (+ z x))) (.f64 z y)) (if (<=.f64 z #s(literal 213598703592091/266998379490113760299377713271194014325338065294581596243380200977777465722580068752870260867072 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 -495407149444547/65185151242703554760590262029100101153646988597309960020356494379340201592426774597868716032 binary64)) #s(approx (+ (* z y) (+ (* y x) x)) (.f64 (+.f64 z x) y)) (if (<=.f64 y #s(literal 5928554968950589/29642774844752946028434172162224104410437116074403984394101141506025761187823616 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 -495407149444547/65185151242703554760590262029100101153646988597309960020356494379340201592426774597868716032 binary64)) (not (<=.f64 y #s(literal 5928554968950589/29642774844752946028434172162224104410437116074403984394101141506025761187823616 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 -12799999999999999395906844817685351256480165293166297411893967806529536 binary64)) #s(approx (+ x (* y (+ z x))) (.f64 z y)) (if (<=.f64 z #s(literal 320000000000000006470041320689903036344350823428594477164088593986561281599412578994783304810496 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 -12799999999999999395906844817685351256480165293166297411893967806529536 binary64)) (not (<=.f64 z #s(literal 320000000000000006470041320689903036344350823428594477164088593986561281599412578994783304810496 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 -1080000000000000003355443200 binary64)) #s(approx (+ x (* y (+ z x))) (.f64 z y)) (if (<=.f64 z #s(literal 213598703592091/266998379490113760299377713271194014325338065294581596243380200977777465722580068752870260867072 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 -1080000000000000003355443200 binary64)) (not (<=.f64 z #s(literal 213598703592091/266998379490113760299377713271194014325338065294581596243380200977777465722580068752870260867072 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)))

derivations469.0ms (12.8%)

Memory

-15.9MiB live, 317.2MiB allocated; 34ms collecting garbage

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
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 140 to 39 computations (72.1% saved)

preprocess38.0ms (1%)

Memory: 8.2MiB live, 53.5MiB allocated; 4ms collecting garbage
Compiler: Compiled 294 to 90 computations (69.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze1.0ms (0%)

sample811.0ms (22.2%)

explain92.0ms (2.5%)

preprocess80.0ms (2.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify22.0ms (0.6%)

localize42.0ms (1.2%)

series5.0ms (0.1%)

simplify170.0ms (4.7%)

rewrite194.0ms (5.3%)

eval73.0ms (2%)

prune3.0ms (0.1%)

simplify22.0ms (0.6%)

localize56.0ms (1.5%)

series7.0ms (0.2%)

simplify93.0ms (2.5%)

rewrite174.0ms (4.8%)

eval32.0ms (0.9%)

prune5.0ms (0.1%)

simplify22.0ms (0.6%)

localize38.0ms (1%)

series22.0ms (0.6%)

simplify164.0ms (4.5%)

rewrite216.0ms (5.9%)

eval86.0ms (2.4%)

prune3.0ms (0.1%)

simplify24.0ms (0.7%)

localize24.0ms (0.7%)

series3.0ms (0.1%)

simplify117.0ms (3.2%)

rewrite257.0ms (7.1%)

eval36.0ms (1%)

prune29.0ms (0.8%)

regimes28.0ms (0.8%)

regimes8.0ms (0.2%)

regimes5.0ms (0.1%)

regimes31.0ms (0.8%)

regimes4.0ms (0.1%)

bsearch44.0ms (1.2%)

bsearch22.0ms (0.6%)

bsearch28.0ms (0.8%)

simplify48.0ms (1.3%)

derivations469.0ms (12.8%)

preprocess38.0ms (1%)

end0.0ms (0%)

Profiling