Metrics for Main:bigenough2 from A

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample651.0ms (15.9%)

Memory

13.5MiB live, 831.4MiB allocated

Samples

415.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 185.0ms

ival-add: 108.0ms (58.3% of total)

ival-mult: 69.0ms (37.3% of total)

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

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

Bogosity

explain73.0ms (1.8%)

Memory

-3.7MiB live, 117.5MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

25.0ms

512×

valid

Compiler

Compiled 65 to 28 computations (56.9% saved)

Precisions

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

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

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

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

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

preprocess55.0ms (1.3%)

Memory

-5.9MiB live, 32.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	70
1	94	63
2	286	63
3	722	63
4	1753	63
5	2443	63
6	2580	63
7	2580	63
0	6	7
0	9	7
1	18	7
2	29	7
3	38	7
4	42	7
5	48	7
6	48	7
7	61	7
8	61	7
9	73	7
10	75	7
11	79	7
0	79	6

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify5.0ms (0.1%)

Memory

7.0MiB live, 7.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize18.0ms (0.4%)

Memory

-9.1MiB live, 28.5MiB allocated

Localize:

Found 3 expressions of interest:

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

Samples

14.0ms

256×

valid

Compiler

Compiled 38 to 14 computations (63.2% saved)

Precisions

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

ival-mult: 4.0ms (59.4% of total)

ival-add: 3.0ms (44.6% of total)

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

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

series5.0ms (0.1%)

Memory

7.1MiB live, 7.1MiB allocated

Counts

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	z	@	-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	x	@	-inf	((+ x (* y (+ z x))) (* y (+ z x)) (+ z x))

simplify223.0ms (5.5%)

Memory

-24.8MiB live, 104.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	149
1	249	131
2	749	131
3	2188	131
4	4746	131
5	6491	131
6	7625	131
0	8178	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)

rewrite211.0ms (5.1%)

Memory

43.7MiB live, 192.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	41	15
2	351	15
3	4297	15
0	8696	14

Stop Event

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

Counts

3 → 245

Calls

Call 1

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

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

eval199.0ms (4.9%)

Memory: -101.2MiB live, 109.1MiB allocated
Compiler: Compiled 5 915 to 817 computations (86.2% saved)

prune6.0ms (0.1%)

Memory

-21.9MiB live, 17.5MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

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

Accuracy

100.0%

Counts

252 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (+.f64 z x) y x)
▶	99.2%	(fma.f64 z y (fma.f64 y x x))
▶	61.7%	#s(approx (+ x (* y (+ z x))) (fma.f64 y x x))
▶	42.8%	#s(approx (+ x (* y (+ z x))) (*.f64 z y))

Compiler

Compiled 36 to 26 computations (27.8% saved)

simplify6.0ms (0.1%)

Memory

6.8MiB live, 6.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize179.0ms (4.4%)

Memory

-0.9MiB live, 37.1MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 z x)
accuracy	0.00390625	(fma.f64 (+.f64 z x) y x)
accuracy	0.0	(fma.f64 y x x)
accuracy	0.49999449521112044	(fma.f64 z y (fma.f64 y x x))
accuracy	0.0	(fma.f64 y x x)
accuracy	24.520848672102638	#s(approx (+ x (* y (+ z x))) (fma.f64 y x x))
accuracy	0.0	(*.f64 z y)
accuracy	36.60247521668768	#s(approx (+ x (* y (+ z x))) (*.f64 z y))

Samples

22.0ms

256×

valid

Compiler

Compiled 118 to 27 computations (77.1% saved)

Precisions

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

ival-add: 6.0ms (49.6% of total)

ival-mult: 6.0ms (49.6% of total)

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

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

series7.0ms (0.2%)

Memory

8.1MiB live, 8.1MiB allocated

Counts

7 → 26

Calls

Call 1

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

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

Calls

9 calls:

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

simplify117.0ms (2.9%)

Memory

1.3MiB live, 79.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	148
1	255	128
2	718	128
3	1974	128
4	5118	128
5	7161	128
0	8102	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)

rewrite177.0ms (4.3%)

Memory

30.3MiB live, 179.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	46
0	20	43
1	94	43
2	727	43
0	8239	43

Stop Event

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

Counts

7 → 340

Calls

Call 1

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

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

eval51.0ms (1.2%)

Memory: -0.7MiB live, 73.2MiB allocated
Compiler: Compiled 6 996 to 785 computations (88.8% saved)

prune30.0ms (0.7%)

Memory

-36.0MiB live, 15.8MiB allocated

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	273	3	276
Fresh	0	0	0
Picked	1	3	4
Done	0	0	0
Total	274	6	280

Accuracy

100.0%

Counts

280 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (+.f64 z x) y x)
▶	63.8%	(fma.f64 z y #s(approx (+ (* y x) x) (*.f64 y x)))
▶	64.6%	#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))
✓	42.8%	#s(approx (+ x (* y (+ z x))) (*.f64 z y))
▶	26.6%	#s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x)))

Compiler

Compiled 73 to 50 computations (31.5% saved)

simplify6.0ms (0.1%)

Memory

8.3MiB live, 8.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize186.0ms (4.5%)

Memory

5.8MiB live, 41.8MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 y x)
accuracy	0.49999449521112044	(fma.f64 z y #s(approx (+ (* y x) x) (*.f64 y x)))
accuracy	29.436107433610182	#s(approx (+ (* y x) x) (*.f64 y x))
accuracy	0.0	(+.f64 z x)
accuracy	0.00390625	(*.f64 (+.f64 z x) y)
accuracy	22.651409351530614	#s(approx (+ (* z y) (+ (* y x) x)) (*.f64 (+.f64 z x) y))
accuracy	0.0	(*.f64 y x)
accuracy	24.520848672102638	#s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x)))
accuracy	29.436107433610182	#s(approx (+ (* y x) x) (*.f64 y x))

Samples

22.0ms

256×

valid

Compiler

Compiled 143 to 30 computations (79% saved)

Precisions

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

ival-mult: 6.0ms (53.2% of total)

ival-add: 5.0ms (44.3% of total)

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

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

series5.0ms (0.1%)

Memory

8.3MiB live, 8.3MiB allocated

Counts

7 → 31

Calls

Call 1

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

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

Calls

9 calls:

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

simplify142.0ms (3.5%)

Memory

-11.6MiB live, 108.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	173
1	300	153
2	886	153
3	2369	153
4	4839	153
5	6375	153
6	7333	153
7	7788	153
0	8037	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)

rewrite146.0ms (3.6%)

Memory

6.1MiB live, 196.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	64
0	21	62
1	91	62
2	746	62
0	8258	57

Stop Event

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

Counts

7 → 120

Calls

Call 1

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

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

eval14.0ms (0.3%)

Memory: 27.5MiB live, 27.5MiB allocated
Compiler: Compiled 4 192 to 466 computations (88.9% saved)

prune19.0ms (0.5%)

Memory

-21.2MiB live, 16.8MiB allocated

Pruning

6 alts after pruning (0 fresh and 6 done)

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

Accuracy

100.0%

Counts

140 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (+.f64 z x) y x)
✓	63.8%	(fma.f64 z y #s(approx (+ (* y x) x) (*.f64 y x)))
✓	64.6%	#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))
✓	42.8%	#s(approx (+ x (* y (+ z x))) (*.f64 z y))
✓	26.6%	#s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x)))

Compiler

Compiled 160 to 75 computations (53.1% saved)

regimes13.0ms (0.3%)

Memory

30.9MiB live, 30.9MiB allocated

Counts

8 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes28.0ms (0.7%)

Memory

-26.7MiB live, 12.4MiB allocated

Counts

4 → 3

Calls

Call 1

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

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

Calls

4 calls:

21.0ms	(+.f64 x (*.f64 y (+.f64 z x)))
2.0ms	y
2.0ms	x
2.0ms	z

Results

Accuracy	Segments	Branch
85.8%	3	`x`
89.0%	3	`y`
81.4%	3	`z`
74.4%	3	`(+.f64 x (*.f64 y (+.f64 z x)))`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes4.0ms (0.1%)

Memory

4.9MiB live, 4.9MiB allocated

Counts

3 → 3

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
82.3%	3	`x`
72.4%	3	`y`

Compiler

Compiled 2 to 6 computations (-200% saved)

regimes6.0ms (0.1%)

Memory

8.4MiB live, 8.4MiB allocated

Counts

2 → 3

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
47.7%	3	`y`
45.4%	2	`(+.f64 x (*.f64 y (+.f64 z x)))`
50.4%	3	`z`
55.9%	3	`x`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes5.0ms (0.1%)

Memory

7.6MiB live, 7.6MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
26.6%	1	`(+.f64 x (*.f64 y (+.f64 z x)))`
26.6%	1	`y`
26.6%	1	`z`
26.6%	1	`x`

Compiler

Compiled 10 to 15 computations (-50% saved)

bsearch143.0ms (3.5%)

Memory

-27.6MiB live, 31.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
130.0ms	5346697.197029113	9.6802135290597e+20
11.0ms	-0.07725172174139372	-5.763079715122553e-10

Samples

130.0ms

304×

valid

Compiler

Compiled 523 to 392 computations (25% saved)

Precisions

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

ival-add: 3.0ms (57.1% of total)

ival-mult: 2.0ms (38.1% of total)

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

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

bsearch35.0ms (0.8%)

Memory

-13.3MiB live, 24.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
22.0ms	4.711542456745952e-48	7.517255367934205e-43
11.0ms	-70775.32303775368	-0.45742618669379304

Samples

22.0ms

288×

valid

Compiler

Compiled 424 to 336 computations (20.8% saved)

Precisions

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

ival-add: 3.0ms (59.8% of total)

ival-mult: 2.0ms (39.9% of total)

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

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

bsearch10.0ms (0.2%)

Memory

6.3MiB live, 6.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	1.338277031579964e+69	1.3619050723344473e+69
8.0ms	-6.725544541665298e+25	-3.31018972585094e+24

Samples

4.0ms

112×

valid

Compiler

Compiled 206 to 159 computations (22.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-add: 1.0ms (51.8% of total)

ival-mult: 1.0ms (51.8% of total)

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

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

simplify118.0ms (2.9%)

Memory

1.2MiB live, 39.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	126
1	63	126
2	73	126
3	80	126
4	80	126
5	95	126
6	97	126
7	119	126
8	135	126
9	210	126
10	1419	126
11	2312	126
12	2932	126
13	3762	126
14	5002	126
15	7099	126
16	7882	126

Stop Event

1×	node limit

Calls

Call 1

Inputs
(fma.f64 (+.f64 z x) y x)
(if (<=.f64 y #s(literal -5289050460814003/18889465931478580854784 binary64)) #s(approx (+ (* z y) (+ (* y x) x)) (.f64 (+.f64 z x) y)) (if (<=.f64 y #s(literal 5500000 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 x #s(literal -42 binary64)) #s(approx (+ x (* y (+ z x))) (fma.f64 y x x)) (if (<=.f64 x #s(literal 2259756624739205/25108406941546723055343157692830665664409421777856138051584 binary64)) #s(approx (+ x (* y (+ z x))) (.f64 z y)) #s(approx (+ x ( y (+ z x))) (fma.f64 y x x))))
(if (<=.f64 x #s(literal -17499999999999999974834176 binary64)) #s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (.f64 y x))) (if (<=.f64 x #s(literal 1349999999999999906355496506828360125520427059234156687607193436946432 binary64)) #s(approx (+ x ( y (+ z x))) (.f64 z y)) #s(approx (+ x ( y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x)))))
#s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x)))

Outputs
(fma.f64 (+.f64 z x) y x)
(if (<=.f64 y #s(literal -5289050460814003/18889465931478580854784 binary64)) #s(approx (+ (* z y) (+ (* y x) x)) (.f64 (+.f64 z x) y)) (if (<=.f64 y #s(literal 5500000 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 -5289050460814003/18889465931478580854784 binary64)) (not (<=.f64 y #s(literal 5500000 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 x #s(literal -42 binary64)) #s(approx (+ x (* y (+ z x))) (fma.f64 y x x)) (if (<=.f64 x #s(literal 2259756624739205/25108406941546723055343157692830665664409421777856138051584 binary64)) #s(approx (+ x (* y (+ z x))) (.f64 z y)) #s(approx (+ x ( y (+ z x))) (fma.f64 y x x))))
(if (or (<=.f64 x #s(literal -42 binary64)) (not (<=.f64 x #s(literal 2259756624739205/25108406941546723055343157692830665664409421777856138051584 binary64)))) #s(approx (+ (* z y) (+ (* y x) x)) (fma.f64 y x x)) #s(approx (+ (* z y) (+ (* y x) x)) (*.f64 z y)))
(if (<=.f64 x #s(literal -17499999999999999974834176 binary64)) #s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (.f64 y x))) (if (<=.f64 x #s(literal 1349999999999999906355496506828360125520427059234156687607193436946432 binary64)) #s(approx (+ x ( y (+ z x))) (.f64 z y)) #s(approx (+ x ( y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x)))))
(if (or (<=.f64 x #s(literal -17499999999999999974834176 binary64)) (not (<=.f64 x #s(literal 1349999999999999906355496506828360125520427059234156687607193436946432 binary64)))) #s(approx (+ (* z y) (+ (* y x) x)) #s(approx (+ (* y x) x) (.f64 y x))) #s(approx (+ ( z y) (+ (* y x) x)) (*.f64 z y)))
#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)))

soundness1.2s (28.7%)

Memory

25.7MiB live, 334.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	149
1	249	131
2	749	131
3	2188	131
4	4746	131
5	6491	131
6	7625	131
0	8178	119
0	75	148
1	255	128
2	718	128
3	1974	128
4	5118	128
5	7161	128
0	8102	113
0	6	15
0	9	15
1	41	15
2	351	15
3	4297	15
0	8696	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 194 to 89 computations (54.1% saved)

preprocess32.0ms (0.8%)

Memory: 2.4MiB live, 40.5MiB allocated
Compiler: Compiled 294 to 90 computations (69.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

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

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

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

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

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

start0.0ms (0%)

analyze0.0ms (0%)

sample651.0ms (15.9%)

explain73.0ms (1.8%)

preprocess55.0ms (1.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify5.0ms (0.1%)

localize18.0ms (0.4%)

series5.0ms (0.1%)

simplify223.0ms (5.5%)

rewrite211.0ms (5.1%)

eval199.0ms (4.9%)

prune6.0ms (0.1%)

simplify6.0ms (0.1%)

localize179.0ms (4.4%)

series7.0ms (0.2%)

simplify117.0ms (2.9%)

rewrite177.0ms (4.3%)

eval51.0ms (1.2%)

prune30.0ms (0.7%)

simplify6.0ms (0.1%)

localize186.0ms (4.5%)

series5.0ms (0.1%)

simplify142.0ms (3.5%)

rewrite146.0ms (3.6%)

eval14.0ms (0.3%)

prune19.0ms (0.5%)

regimes13.0ms (0.3%)

regimes28.0ms (0.7%)

regimes4.0ms (0.1%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

bsearch143.0ms (3.5%)

bsearch35.0ms (0.8%)

bsearch10.0ms (0.2%)

simplify118.0ms (2.9%)

soundness1.2s (28.7%)

preprocess32.0ms (0.8%)

end0.0ms (0%)

Profiling

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

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

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