Metrics for Main:bigenough2 from A

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB 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)

sample770.0ms (17.3%)

Memory

37.5MiB live, 1 012.7MiB allocated; 314ms collecting garbage

Samples

515.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 228.0ms

ival-add: 148.0ms (65% of total)

ival-mult: 68.0ms (29.9% of total)

ival-true: 7.0ms (3.1% of total)

ival-assert: 3.0ms (1.3% of total)

adjust: 2.0ms (0.9% of total)

Bogosity

explain87.0ms (2%)

Memory

-9.3MiB live, 122.6MiB allocated; 47ms 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

37.0ms

512×

valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-add: 17.0ms (78.5% of total)

ival-mult: 4.0ms (18.5% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess161.0ms (3.6%)

Memory

13.4MiB live, 158.9MiB allocated; 33ms collecting garbage

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	1108	63
6	1506	63
7	3670	63
8	7484	63
0	6	7
0	9	7
1	21	7
2	53	7
3	118	7
4	186	7
5	258	7
6	357	7
7	715	7
8	2267	7
0	8157	6

Stop Event

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

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: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB 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)

simplify166.0ms (3.7%)

Memory

-38.8MiB live, 102.7MiB allocated; 42ms collecting garbage

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	258	18
6	357	18
7	715	18
8	2267	18
0	8157	17

Stop Event

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

Calls

Call 1

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

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

localize17.0ms (0.4%)

Memory

33.4MiB live, 33.4MiB allocated; 0ms collecting garbage

Localize:

Found 3 expressions of interest:

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

Samples

12.0ms

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 (61.7% of total)

ival-mult: 2.0ms (41.1% 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

7.8MiB live, 7.8MiB 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))
1.0ms	z	@	-inf	((+ x (* y (+ z x))) (* y (+ z x)) (+ z x))
0.0ms	x	@	-inf	((+ x (* y (+ z x))) (* y (+ z x)) (+ z x))
0.0ms	y	@	-inf	((+ x (* y (+ z x))) (* y (+ z x)) (+ z x))

simplify208.0ms (4.7%)

Memory

-20.6MiB live, 184.7MiB allocated; 40ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	149
1	265	131
2	904	131
3	2712	131
4	5494	131
0	8161	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)

rewrite228.0ms (5.1%)

Memory

9.7MiB live, 292.7MiB allocated; 29ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	44	15
2	373	15
3	4520	15
0	8264	14

Stop Event

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

Counts

3 → 172

Calls

Call 1

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

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

eval80.0ms (1.8%)

Memory: 3.0MiB live, 57.3MiB allocated; 9ms collecting garbage
Compiler: Compiled 4 930 to 628 computations (87.3% saved)

prune11.0ms (0.2%)

Memory

-31.0MiB live, 13.0MiB allocated; 6ms collecting garbage

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	174	4	178
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	175	4	179

Accuracy

100.0%

Counts

179 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (+.f64 z x) y x)
▶	99.6%	(fma.f64 z y (fma.f64 y x x))
▶	64.8%	#s(approx (+ x (* y (+ z x))) (fma.f64 y x x))
▶	37.5%	#s(approx (+ x (* y (+ z x))) (*.f64 z y))

Compiler

Compiled 36 to 26 computations (27.8% saved)

simplify200.0ms (4.5%)

Memory

35.7MiB live, 123.2MiB allocated; 15ms collecting garbage

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	158	57
4	276	57
5	576	57
6	2211	57
7	6497	57
0	8191	57

Stop Event

1×	iter limit
1×	node limit
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

localize64.0ms (1.4%)

Memory

0.4MiB live, 56.1MiB 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	0.2539034976055602	(fma.f64 z y (fma.f64 y x x))
accuracy	0.0	(fma.f64 y x x)
accuracy	22.50761000440988	#s(approx (+ x (* y (+ z x))) (fma.f64 y x x))
accuracy	0.0	(*.f64 z y)
accuracy	39.9953715240259	#s(approx (+ x (* y (+ z x))) (*.f64 z y))

Samples

55.0ms

256×

valid

Compiler

Compiled 58 to 14 computations (75.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-mult: 18.0ms (73% of total)

ival-add: 6.0ms (24.3% of total)

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

adjust: 0.0ms (0% of total)

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

series13.0ms (0.3%)

Memory

-26.7MiB live, 15.9MiB allocated; 10ms 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
8.0ms	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))

simplify150.0ms (3.4%)

Memory

28.1MiB live, 116.9MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	148
1	271	128
2	827	128
3	2621	128
4	6422	128
0	8223	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)

rewrite285.0ms (6.4%)

Memory

-26.5MiB live, 305.4MiB allocated; 73ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	46
0	20	43
1	97	43
2	736	43
0	8319	43

Stop Event

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

Counts

7 → 291

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 y #s(literal -1 binary64)) x)
(*.f64 x (-.f64 y #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 (.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)))))
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(/.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)

eval43.0ms (1%)

Memory: 12.8MiB live, 57.4MiB allocated; 4ms collecting garbage
Compiler: Compiled 7 533 to 670 computations (91.1% saved)

prune6.0ms (0.1%)

Memory

21.6MiB live, 21.6MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	230	4	234
Fresh	0	0	0
Picked	1	3	4
Done	0	0	0
Total	231	7	238

Accuracy

100.0%

Counts

238 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (+.f64 z x) y x)
▶	59.6%	(fma.f64 z y #s(approx (+ (* y x) x) (*.f64 y x)))
▶	60.0%	#s(approx (+ (* z y) (+ (* y x) x)) (*.f64 (+.f64 z x) y))
✓	64.8%	#s(approx (+ x (* y (+ z x))) (fma.f64 y x x))
▶	64.8%	#s(approx (+ x (* y (+ z x))) (*.f64 (-.f64 y #s(literal -1 binary64)) x))
✓	37.5%	#s(approx (+ x (* y (+ z x))) (*.f64 z y))
▶	26.0%	#s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x)))

Compiler

Compiled 86 to 60 computations (30.2% saved)

simplify131.0ms (3%)

Memory

3.4MiB live, 105.5MiB allocated; 11ms collecting garbage

Localize:

Found 12 expressions of interest:

New	Metric	Score
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 #s(literal -1 binary64))
cost-diff	0	#s(approx (+ x (* y (+ z x))) (*.f64 (-.f64 y #s(literal -1 binary64)) x))
cost-diff	1	(*.f64 (-.f64 y #s(literal -1 binary64)) x)
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	21	108
0	27	106
1	46	106
2	87	106
3	169	106
4	290	106
5	610	106
6	2386	106
7	6675	106
0	8376	97

Stop Event

1×	iter limit
1×	node limit
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 (+ x (* y (+ z x))) (*.f64 (-.f64 y #s(literal -1 binary64)) x))
(*.f64 (-.f64 y #s(literal -1 binary64)) x)
(-.f64 y #s(literal -1 binary64))
y
#s(literal -1 binary64)
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 (+ x (* y (+ z x))) (*.f64 (-.f64 y #s(literal -1 binary64)) x))
#s(approx (+ x (* y (+ z x))) (fma.f64 y x x))
(*.f64 (-.f64 y #s(literal -1 binary64)) x)
(fma.f64 y x x)
(-.f64 y #s(literal -1 binary64))
y
#s(literal -1 binary64)
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

localize63.0ms (1.4%)

Memory

-7.8MiB live, 37.9MiB allocated; 4ms collecting garbage

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 y x)
accuracy	0.2539034976055602	(fma.f64 z y #s(approx (+ (* y x) x) (*.f64 y x)))
accuracy	33.35583372200323	#s(approx (+ (* y x) x) (*.f64 y x))
accuracy	0.0	(+.f64 z x)
accuracy	0.015625	(*.f64 (+.f64 z x) y)
accuracy	25.624602060783	#s(approx (+ (* z y) (+ (* y x) x)) (*.f64 (+.f64 z x) y))
accuracy	0.0	(-.f64 y #s(literal -1 binary64))
accuracy	0.01171875	(*.f64 (-.f64 y #s(literal -1 binary64)) x)
accuracy	22.50761000440988	#s(approx (+ x (* y (+ z x))) (*.f64 (-.f64 y #s(literal -1 binary64)) x))
accuracy	0.0	(*.f64 y x)
accuracy	22.50761000440988	#s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x)))
accuracy	33.35583372200323	#s(approx (+ (* y x) x) (*.f64 y x))

Samples

54.0ms

256×

valid

Compiler

Compiled 77 to 16 computations (79.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-mult: 8.0ms (55.8% of total)

ival-add: 5.0ms (34.9% of total)

ival-sub: 1.0ms (7% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series8.0ms (0.2%)

Memory

8.8MiB live, 8.8MiB allocated; 0ms collecting garbage

Counts

10 → 35

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)
(*.f64 (-.f64 y #s(literal -1 binary64)) x)
#s(approx (+ x (* y (+ z x))) (*.f64 (-.f64 y #s(literal -1 binary64)) x))
(-.f64 y #s(literal -1 binary64))
#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))
1
(+ 1 y)
(* y (+ x z))
(* y (+ x (+ z (/ x y))))
(* y (+ x (/ x y)))
y
(* y (+ 1 (/ 1 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
2.0ms	y	@	inf	((+ x (* y (+ z x))) (+ (* y x) x) (* y x) (* (- y -1) x) (+ x (* y (+ z x))) (- y -1) (+ (* 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) (* (- y -1) x) (+ x (* y (+ z x))) (- y -1) (+ (* 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) (* (- y -1) x) (+ x (* y (+ z x))) (- y -1) (+ (* 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) (* (- y -1) x) (+ x (* y (+ z x))) (- y -1) (+ (* z y) (+ (* y x) x)) (* (+ z x) y) (+ z x) (+ (* z y) (+ (* y x) x)))
1.0ms	x	@	0	((+ x (* y (+ z x))) (+ (* y x) x) (* y x) (* (- y -1) x) (+ x (* y (+ z x))) (- y -1) (+ (* z y) (+ (* y x) x)) (* (+ z x) y) (+ z x) (+ (* z y) (+ (* y x) x)))

simplify164.0ms (3.7%)

Memory

-22.6MiB live, 120.6MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	181
1	330	161
2	1031	161
3	3105	161
4	6255	161
0	8089	146

Stop Event

1×	iter limit
1×	node limit

Counts

35 → 32

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))
1
(+ 1 y)
(* y (+ x z))
(* y (+ x (+ z (/ x y))))
(* y (+ x (/ x y)))
y
(* y (+ 1 (/ 1 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)
1
#s(literal 1 binary64)
(+ 1 y)
(-.f64 y #s(literal -1 binary64))
(* 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)
y
(* y (+ 1 (/ 1 y)))
(-.f64 y #s(literal -1 binary64))
(* -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)

rewrite47.0ms (1.1%)

Memory

-11.4MiB live, 34.4MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	85
0	27	83
1	113	83
0	888	75

Stop Event

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

Counts

10 → 77

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

eval9.0ms (0.2%)

Memory: 12.7MiB live, 12.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 994 to 295 computations (85.2% saved)

prune4.0ms (0.1%)

Memory

7.5MiB live, 7.5MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	91	1	92
Fresh	0	0	0
Picked	0	4	4
Done	0	3	3
Total	91	8	99

Accuracy

100.0%

Counts

99 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (+.f64 z x) y x)
✓	59.6%	(fma.f64 z y #s(approx (+ (* y x) x) (*.f64 y x)))
✓	60.0%	#s(approx (+ (* z y) (+ (* y x) x)) (*.f64 (+.f64 z x) y))
✓	64.8%	#s(approx (+ x (* y (+ z x))) (fma.f64 y x x))
✓	64.8%	#s(approx (+ x (* y (+ z x))) (*.f64 (-.f64 y #s(literal -1 binary64)) x))
▶	41.3%	#s(approx (+ x (* y (+ z x))) (*.f64 #s(approx (- y -1) #s(literal 1 binary64)) x))
✓	37.5%	#s(approx (+ x (* y (+ z x))) (*.f64 z y))
✓	26.0%	#s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x)))

Compiler

Compiled 101 to 72 computations (28.7% saved)

simplify240.0ms (5.4%)

Memory

-5.7MiB live, 160.2MiB allocated; 104ms collecting garbage

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
cost-diff	0	#s(approx (- y -1) #s(literal 1 binary64))
cost-diff	0	(*.f64 #s(approx (- y -1) #s(literal 1 binary64)) x)
cost-diff	0	#s(approx (+ x (* y (+ z x))) (*.f64 #s(approx (- y -1) #s(literal 1 binary64)) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	29
0	13	29
1	28	29
2	63	29
3	135	29
4	229	29
5	474	29
6	2502	29
7	6184	29
0	8066	28

Stop Event

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

Calls

Call 1

Inputs
#s(approx (+ x (* y (+ z x))) (*.f64 #s(approx (- y -1) #s(literal 1 binary64)) x))
(*.f64 #s(approx (- y -1) #s(literal 1 binary64)) x)
#s(approx (- y -1) #s(literal 1 binary64))
#s(literal 1 binary64)
x

Outputs
#s(approx (+ x (* y (+ z x))) (*.f64 #s(approx (- y -1) #s(literal 1 binary64)) x))
(*.f64 #s(approx (- y -1) #s(literal 1 binary64)) x)
#s(approx (- y -1) #s(literal 1 binary64))
#s(literal 1 binary64)
x

localize26.0ms (0.6%)

Memory

-24.6MiB live, 21.6MiB allocated; 4ms collecting garbage

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(*.f64 #s(approx (- y -1) #s(literal 1 binary64)) x)
accuracy	22.50761000440988	#s(approx (+ x (* y (+ z x))) (*.f64 #s(approx (- y -1) #s(literal 1 binary64)) x))
accuracy	29.495688171903804	#s(approx (- y -1) #s(literal 1 binary64))

Samples

21.0ms

256×

valid

Compiler

Compiled 19 to 12 computations (36.8% saved)

Precisions

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

ival-mult: 9.0ms (66.8% of total)

ival-add: 3.0ms (22.3% of total)

ival-sub: 1.0ms (7.4% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

3.7MiB live, 3.7MiB allocated; 0ms collecting garbage

Counts

3 → 22

Calls

Call 1

Inputs
#s(approx (+ x (* y (+ z x))) (*.f64 #s(approx (- y -1) #s(literal 1 binary64)) x))
(*.f64 #s(approx (- y -1) #s(literal 1 binary64)) x)
#s(approx (- y -1) #s(literal 1 binary64))

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

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	((+ x (* y (+ z x))) (* (- y -1) x) (- y -1))
0.0ms	x	@	inf	((+ x (* y (+ z x))) (* (- y -1) x) (- y -1))
0.0ms	y	@	inf	((+ x (* y (+ z x))) (* (- y -1) x) (- y -1))
0.0ms	y	@	-inf	((+ x (* y (+ z x))) (* (- y -1) x) (- y -1))
0.0ms	x	@	0	((+ x (* y (+ z x))) (* (- y -1) x) (- y -1))

simplify164.0ms (3.7%)

Memory

9.7MiB live, 147.7MiB allocated; 27ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	130
1	213	116
2	704	116
3	2453	116
4	6277	116
0	8704	100

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 20

Calls

Call 1

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

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

rewrite44.0ms (1%)

Memory

14.3MiB live, 60.4MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	27
0	13	27
1	64	27
0	498	26

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

3 → 4

Calls

Call 1

Inputs
#s(approx (+ x (* y (+ z x))) (*.f64 #s(approx (- y -1) #s(literal 1 binary64)) x))
(*.f64 #s(approx (- y -1) #s(literal 1 binary64)) x)
#s(approx (- y -1) #s(literal 1 binary64))

Outputs
#s(approx (+ x (* y (+ z x))) (*.f64 #s(approx (- y -1) #s(literal 1 binary64)) x))
(*.f64 #s(approx (- y -1) #s(literal 1 binary64)) x)
(*.f64 x #s(approx (- y -1) #s(literal 1 binary64)))
#s(approx (- y -1) #s(literal 1 binary64))

eval1.0ms (0%)

Memory: 2.7MiB live, 2.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 179 to 38 computations (78.8% saved)

prune4.0ms (0.1%)

Memory

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

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	12	0	12
Fresh	0	0	0
Picked	0	1	1
Done	0	7	7
Total	12	8	20

Accuracy

100.0%

Counts

20 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (+.f64 z x) y x)
✓	59.6%	(fma.f64 z y #s(approx (+ (* y x) x) (*.f64 y x)))
✓	60.0%	#s(approx (+ (* z y) (+ (* y x) x)) (*.f64 (+.f64 z x) y))
✓	64.8%	#s(approx (+ x (* y (+ z x))) (fma.f64 y x x))
✓	64.8%	#s(approx (+ x (* y (+ z x))) (*.f64 (-.f64 y #s(literal -1 binary64)) x))
✓	41.3%	#s(approx (+ x (* y (+ z x))) (*.f64 #s(approx (- y -1) #s(literal 1 binary64)) x))
✓	37.5%	#s(approx (+ x (* y (+ z x))) (*.f64 z y))
✓	26.0%	#s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x)))

Compiler

Compiled 216 to 107 computations (50.5% saved)

regimes19.0ms (0.4%)

Memory

-13.0MiB live, 32.2MiB allocated; 4ms collecting garbage

Counts

10 → 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))) (*.f64 #s(approx (- y -1) #s(literal 1 binary64)) x))
#s(approx (+ x (* y (+ z x))) (fma.f64 y x x))
#s(approx (+ x (* y (+ z x))) (*.f64 (-.f64 y #s(literal -1 binary64)) 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:

6.0ms	z
3.0ms	x
3.0ms	y
3.0ms	(+.f64 x (*.f64 y (+.f64 z x)))

Results

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

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes30.0ms (0.7%)

Memory

-1.8MiB live, 49.7MiB allocated; 9ms collecting garbage

Counts

6 → 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))) (*.f64 #s(approx (- y -1) #s(literal 1 binary64)) x))
#s(approx (+ x (* y (+ z x))) (fma.f64 y x x))
#s(approx (+ x (* y (+ z x))) (*.f64 (-.f64 y #s(literal -1 binary64)) 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:

17.0ms	(+.f64 x (*.f64 y (+.f64 z x)))
8.0ms	x
2.0ms	y
2.0ms	z

Results

Accuracy	Segments	Branch
73.9%	3	`(+.f64 x (*.f64 y (+.f64 z x)))`
82.6%	3	`x`
87.7%	3	`y`
83.1%	4	`z`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes7.0ms (0.1%)

Memory

10.0MiB live, 10.0MiB allocated; 0ms collecting garbage

Counts

5 → 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))) (*.f64 #s(approx (- y -1) #s(literal 1 binary64)) x))
#s(approx (+ x (* y (+ z x))) (fma.f64 y x x))
#s(approx (+ x (* y (+ z x))) (*.f64 (-.f64 y #s(literal -1 binary64)) 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

3 calls:

2.0ms	y
2.0ms	x
2.0ms	z

Results

Accuracy	Segments	Branch
80.2%	4	`z`
79.1%	3	`x`
67.3%	2	`y`

Compiler

Compiled 3 to 9 computations (-200% saved)

regimes32.0ms (0.7%)

Memory

-35.8MiB live, 11.0MiB allocated; 2ms collecting garbage

Counts

3 → 4

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))) (*.f64 #s(approx (- y -1) #s(literal 1 binary64)) x))

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))) (*.f64 #s(approx (- y -1) #s(literal 1 binary64)) x))
#s(approx (+ x (* y (+ z x))) (*.f64 z y))

Calls

4 calls:

27.0ms	z
2.0ms	y
2.0ms	(+.f64 x (*.f64 y (+.f64 z x)))
2.0ms	x

Results

Accuracy	Segments	Branch
68.3%	4	`y`
53.6%	4	`(+.f64 x (*.f64 y (+.f64 z x)))`
60.6%	4	`z`
58.9%	3	`x`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes6.0ms (0.1%)

Memory

9.6MiB live, 9.6MiB allocated; 0ms 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))) #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
39.7%	2	`(+.f64 x (*.f64 y (+.f64 z x)))`
49.7%	3	`x`
49.2%	3	`z`
40.4%	2	`y`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes4.0ms (0.1%)

Memory

8.5MiB live, 8.5MiB 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	x
1.0ms	y
1.0ms	z
1.0ms	(+.f64 x (*.f64 y (+.f64 z x)))

Results

Accuracy	Segments	Branch
26.0%	1	`(+.f64 x (*.f64 y (+.f64 z x)))`
26.0%	1	`y`
26.0%	1	`z`
26.0%	1	`x`

Compiler

Compiled 10 to 15 computations (-50% saved)

bsearch25.0ms (0.6%)

Memory

-17.4MiB live, 28.1MiB allocated; 3ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	1.4828409819356612e-15	4.043662604358054e-9
10.0ms	-4.81962910340631e-17	-1.9667452277481977e-20

Samples

13.0ms

272×

valid

Compiler

Compiled 469 to 352 computations (24.9% saved)

Precisions

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

ival-add: 4.0ms (65.6% of total)

ival-mult: 2.0ms (32.8% of total)

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

adjust: 0.0ms (0% of total)

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

bsearch21.0ms (0.5%)

Memory

30.4MiB live, 30.4MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
7.0ms	5.379175704038304e-24	7.734207303817001e-23
11.0ms	-2.489596273900991e-104	-5.457340463688913e-110

Samples

10.0ms

240×

valid

Compiler

Compiled 355 to 282 computations (20.6% saved)

Precisions

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

ival-add: 2.0ms (45.7% of total)

ival-mult: 2.0ms (45.7% of total)

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

adjust: 0.0ms (0% of total)

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

bsearch32.0ms (0.7%)

Memory

-0.2MiB live, 44.0MiB allocated; 5ms collecting garbage

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
1.0ms	1.4828409819356612e-15	4.043662604358054e-9
12.0ms	-8.047448330425486e-21	-9.786100894041873e-33
16.0ms	-1.0559693422225601e+27	-615440.4542992124

Samples

17.0ms

336×

valid

Compiler

Compiled 812 to 661 computations (18.6% saved)

Precisions

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

ival-add: 3.0ms (48.7% of total)

ival-mult: 2.0ms (32.4% of total)

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

adjust: 0.0ms (0% of total)

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

bsearch21.0ms (0.5%)

Memory

-29.3MiB live, 22.0MiB allocated; 6ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	8.73812074568206e-15	4.964339691741838e-10
6.0ms	-5.577606071555468e+21	-1.699488423419195e+21

Samples

12.0ms

208×

valid

Compiler

Compiled 374 to 285 computations (23.8% saved)

Precisions

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

ival-add: 5.0ms (77.5% of total)

ival-mult: 1.0ms (15.5% of total)

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

adjust: 0.0ms (0% of total)

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

simplify32.0ms (0.7%)

Memory

35.7MiB live, 35.7MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	182
1	82	182
2	122	182
3	212	182
4	379	182
5	1252	182

Stop Event

1×	node limit

Calls

Call 1

Inputs
(fma.f64 (+.f64 z x) y x)
(if (<=.f64 y #s(literal -7788445287802241/162259276829213363391578010288128 binary64)) #s(approx (+ (* z y) (+ (* y x) x)) (.f64 (+.f64 z x) y)) (if (<=.f64 y #s(literal 6338253001141147/39614081257132168796771975168 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 -8908762079399835/1291124939043454294827959586001505937164852896414611756415329678270323811008420597314822676640068915717951585986373746688 binary64)) #s(approx (+ x (* y (+ z x))) (fma.f64 y x x)) (if (<=.f64 x #s(literal 4219501349819637/680564733841876926926749214863536422912 binary64)) #s(approx (+ x (* y (+ z x))) (.f64 z y)) #s(approx (+ x ( y (+ z x))) (fma.f64 y x x))))
(if (<=.f64 y #s(literal -1060000000000000025165824 binary64)) #s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (.f64 y x))) (if (<=.f64 y #s(literal -2764794231232625/21267647932558653966460912964485513216 binary64)) #s(approx (+ x ( y (+ z x))) (.f64 z y)) (if (<=.f64 y #s(literal 6338253001141147/39614081257132168796771975168 binary64)) #s(approx (+ x ( y (+ z x))) (.f64 #s(approx (- y -1) #s(literal 1 binary64)) x)) #s(approx (+ x ( y (+ z x))) (*.f64 z y)))))
(if (<=.f64 x #s(literal -3800000000000000000000 binary64)) #s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (.f64 y x))) (if (<=.f64 x #s(literal 3961408125713217/4951760157141521099596496896 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 -7788445287802241/162259276829213363391578010288128 binary64)) #s(approx (+ (* z y) (+ (* y x) x)) (.f64 (+.f64 z x) y)) (if (<=.f64 y #s(literal 6338253001141147/39614081257132168796771975168 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 -7788445287802241/162259276829213363391578010288128 binary64)) (not (<=.f64 y #s(literal 6338253001141147/39614081257132168796771975168 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 -8908762079399835/1291124939043454294827959586001505937164852896414611756415329678270323811008420597314822676640068915717951585986373746688 binary64)) #s(approx (+ x (* y (+ z x))) (fma.f64 y x x)) (if (<=.f64 x #s(literal 4219501349819637/680564733841876926926749214863536422912 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 -8908762079399835/1291124939043454294827959586001505937164852896414611756415329678270323811008420597314822676640068915717951585986373746688 binary64)) (not (<=.f64 x #s(literal 4219501349819637/680564733841876926926749214863536422912 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 y #s(literal -1060000000000000025165824 binary64)) #s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (.f64 y x))) (if (<=.f64 y #s(literal -2764794231232625/21267647932558653966460912964485513216 binary64)) #s(approx (+ x ( y (+ z x))) (.f64 z y)) (if (<=.f64 y #s(literal 6338253001141147/39614081257132168796771975168 binary64)) #s(approx (+ x ( y (+ z x))) (.f64 #s(approx (- y -1) #s(literal 1 binary64)) x)) #s(approx (+ x ( y (+ z x))) (*.f64 z y)))))
(if (<=.f64 y #s(literal -1060000000000000025165824 binary64)) #s(approx (+ (* z y) (+ (* y x) x)) #s(approx (+ (* y x) x) (.f64 y x))) (if (or (<=.f64 y #s(literal -2764794231232625/21267647932558653966460912964485513216 binary64)) (not (<=.f64 y #s(literal 6338253001141147/39614081257132168796771975168 binary64)))) #s(approx (+ ( z y) (+ (* y x) x)) (.f64 z y)) #s(approx (+ ( z y) (+ (* y x) x)) (*.f64 #s(approx (- y -1) #s(literal 1 binary64)) x))))
(if (<=.f64 x #s(literal -3800000000000000000000 binary64)) #s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (.f64 y x))) (if (<=.f64 x #s(literal 3961408125713217/4951760157141521099596496896 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 -3800000000000000000000 binary64)) (not (<=.f64 x #s(literal 3961408125713217/4951760157141521099596496896 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)))

derivations781.0ms (17.6%)

Memory

-18.9MiB live, 584.9MiB allocated; 88ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	148
1	271	128
2	827	128
3	2621	128
4	6422	128
0	8223	113
0	87	181
1	330	161
2	1031	161
3	3105	161
4	6255	161
0	8089	146
0	70	149
1	265	131
2	904	131
3	2712	131
4	5494	131
0	8161	119
0	6	15
0	9	15
1	44	15
2	373	15
3	4520	15
0	8264	14
0	13	46
0	20	43
1	97	43
2	736	43
0	8319	43

Stop Event

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

Compiler

Compiled 202 to 52 computations (74.3% saved)

preprocess28.0ms (0.6%)

Memory: 44.9MiB live, 44.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 418 to 116 computations (72.2% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample770.0ms (17.3%)

explain87.0ms (2%)

preprocess161.0ms (3.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify166.0ms (3.7%)

localize17.0ms (0.4%)

series5.0ms (0.1%)

simplify208.0ms (4.7%)

rewrite228.0ms (5.1%)

eval80.0ms (1.8%)

prune11.0ms (0.2%)

simplify200.0ms (4.5%)

localize64.0ms (1.4%)

series13.0ms (0.3%)

simplify150.0ms (3.4%)

rewrite285.0ms (6.4%)

eval43.0ms (1%)

prune6.0ms (0.1%)

simplify131.0ms (3%)

localize63.0ms (1.4%)

series8.0ms (0.2%)

simplify164.0ms (3.7%)

rewrite47.0ms (1.1%)

eval9.0ms (0.2%)

prune4.0ms (0.1%)

simplify240.0ms (5.4%)

localize26.0ms (0.6%)

series3.0ms (0.1%)

simplify164.0ms (3.7%)

rewrite44.0ms (1%)

eval1.0ms (0%)

prune4.0ms (0.1%)

regimes19.0ms (0.4%)

regimes30.0ms (0.7%)

regimes7.0ms (0.1%)

regimes32.0ms (0.7%)

regimes6.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch25.0ms (0.6%)

bsearch21.0ms (0.5%)

bsearch32.0ms (0.7%)

bsearch21.0ms (0.5%)

simplify32.0ms (0.7%)

derivations781.0ms (17.6%)

preprocess28.0ms (0.6%)

end0.0ms (0%)

Profiling