Metrics for SynthBasics:oscSampleBasedAux from YampaSynth-0.2

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample667.0ms (20.4%)

Memory

-11.2MiB live, 787.2MiB allocated

Samples

392.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 184.0ms

ival-mult: 69.0ms (37.5% of total)

ival-sub: 62.0ms (33.7% of total)

ival-add: 44.0ms (23.9% of total)

ival-true: 6.0ms (3.3% of total)

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

Bogosity

explain70.0ms (2.1%)

Memory

10.0MiB live, 56.6MiB allocated

FPErrors

Click to see full error table

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

35.0ms

512×

valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

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

ival-sub: 16.0ms (72.9% of total)

ival-mult: 3.0ms (13.7% of total)

ival-add: 2.0ms (9.1% of total)

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

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

preprocess15.0ms (0.5%)

Memory

16.9MiB live, 16.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	72
1	62	71
2	118	70
3	184	70
4	250	70
5	256	70
0	6	7
0	9	7
1	14	7
2	22	7
3	33	7
4	42	7
0	42	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

0.5MiB live, 0.5MiB 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)

simplify3.0ms (0.1%)

Memory

2.7MiB live, 2.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	9	18
1	14	18
2	22	18
3	33	18
4	42	18
0	42	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

localize26.0ms (0.8%)

Memory

-22.1MiB live, 22.9MiB allocated

Localize:

Found 3 expressions of interest:

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

Samples

22.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

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

ival-mult: 2.0ms (36.8% of total)

ival-sub: 1.0ms (18.4% of total)

ival-add: 1.0ms (18.4% of total)

ival-assert: 1.0ms (18.4% of total)

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

series5.0ms (0.2%)

Memory

10.7MiB live, 10.7MiB allocated

Counts

3 → 29

Calls

Call 1

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

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

Calls

9 calls:

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

simplify99.0ms (3%)

Memory

-3.4MiB live, 92.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	191
1	266	137
2	894	137
3	2847	137
4	5287	137
5	7163	137
0	8030	128

Stop Event

1×	iter limit
1×	node limit

Counts

29 → 27

Calls

Call 1

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

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

rewrite171.0ms (5.2%)

Memory

20.3MiB live, 149.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	37	15
2	275	15
3	3239	15
0	8340	14

Stop Event

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

Counts

3 → 231

Calls

Call 1

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

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

eval54.0ms (1.6%)

Memory: 0.2MiB live, 62.7MiB allocated
Compiler: Compiled 6 156 to 785 computations (87.2% saved)

prune21.0ms (0.6%)

Memory

-35.3MiB live, 10.9MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	235	3	238
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	236	3	239

Accuracy

100.0%

Counts

239 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (-.f64 z x) y x)
▶	62.2%	#s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x))
▶	43.2%	#s(approx (+ x (* y (- z x))) (*.f64 z y))

Compiler

Compiled 30 to 23 computations (23.3% saved)

simplify5.0ms (0.1%)

Memory

3.3MiB live, 3.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(-.f64 z x)
cost-diff	0	(fma.f64 (-.f64 z x) y x)
cost-diff	0	(-.f64 #s(literal 1 binary64) y)
cost-diff	0	(*.f64 (-.f64 #s(literal 1 binary64) y) x)
cost-diff	0	#s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) 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	14	52
0	20	50
1	29	50
2	37	50
3	48	50
4	61	50
5	65	50
6	70	50
7	75	50
0	75	50

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

localize27.0ms (0.8%)

Memory

25.3MiB live, 25.3MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 (-.f64 z x) y x)
accuracy	0.0	(-.f64 z x)
accuracy	0.0	(-.f64 #s(literal 1 binary64) y)
accuracy	0.0078125	(*.f64 (-.f64 #s(literal 1 binary64) y) x)
accuracy	24.203180747641156	#s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x))
accuracy	0.0	(*.f64 z y)
accuracy	36.37172975761625	#s(approx (+ x (* y (- z x))) (*.f64 z y))

Samples

20.0ms

256×

valid

Compiler

Compiled 45 to 14 computations (68.9% saved)

Precisions

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

ival-mult: 6.0ms (53.1% of total)

ival-sub: 3.0ms (26.6% of total)

ival-add: 2.0ms (17.7% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.2%)

Memory

7.8MiB live, 7.8MiB allocated

Counts

7 → 32

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	((+ x (* y (- z x))) (* z y) (+ x (* y (- z x))) (* (- 1 y) x) (- 1 y) (+ (* (- z x) y) x) (- z x))
1.0ms	z	@	-inf	((+ x (* y (- z x))) (* z y) (+ x (* y (- z x))) (* (- 1 y) x) (- 1 y) (+ (* (- z x) y) x) (- z x))
1.0ms	y	@	inf	((+ x (* y (- z x))) (* z y) (+ x (* y (- z x))) (* (- 1 y) x) (- 1 y) (+ (* (- z x) y) x) (- z x))
1.0ms	x	@	-inf	((+ x (* y (- z x))) (* z y) (+ x (* y (- z x))) (* (- 1 y) x) (- 1 y) (+ (* (- z x) y) x) (- z x))
1.0ms	y	@	0	((+ x (* y (- z x))) (* z y) (+ x (* y (- z x))) (* (- 1 y) x) (- 1 y) (+ (* (- z x) y) x) (- z x))

simplify92.0ms (2.8%)

Memory

-20.1MiB live, 69.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	78	155
1	263	148
2	810	148
3	2627	148
4	5776	148
5	7804	148
0	8224	139

Stop Event

1×	iter limit
1×	node limit

Counts

32 → 30

Calls

Call 1

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

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

rewrite188.0ms (5.7%)

Memory

-5.7MiB live, 182.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	44
0	20	42
1	80	42
2	475	42
3	5289	42
0	8201	42

Stop Event

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

Counts

7 → 182

Calls

Call 1

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

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

eval21.0ms (0.6%)

Memory: 39.4MiB live, 39.4MiB allocated
Compiler: Compiled 6 301 to 717 computations (88.6% saved)

prune23.0ms (0.7%)

Memory

-32.5MiB live, 22.2MiB allocated

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	190	3	193
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	190	6	196

Accuracy

100.0%

Counts

196 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (-.f64 z x) y x)
▶	65.8%	#s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y))
✓	62.2%	#s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x))
▶	28.4%	#s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x))
▶	36.6%	#s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))
✓	43.2%	#s(approx (+ x (* y (- z x))) (*.f64 z y))

Compiler

Compiled 74 to 56 computations (24.3% saved)

simplify4.0ms (0.1%)

Memory

4.7MiB live, 4.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	87
0	23	87
1	31	87
2	39	87
3	50	87
4	59	87
0	59	84

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize28.0ms (0.9%)

Memory

-10.7MiB live, 35.3MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 z x)
accuracy	0.0078125	(*.f64 (-.f64 z x) y)
accuracy	21.875832532504695	#s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y))
accuracy	0.0	(neg.f64 y)
accuracy	0.0078125	(*.f64 #s(approx (- 1 y) (neg.f64 y)) x)
accuracy	24.203180747641156	#s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x))
accuracy	31.52115840378783	#s(approx (- 1 y) (neg.f64 y))
accuracy	0.0078125	(*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)
accuracy	24.203180747641156	#s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))
accuracy	31.330968315997634	#s(approx (- 1 y) #s(literal 1 binary64))

Samples

20.0ms

256×

valid

Compiler

Compiled 56 to 13 computations (76.8% saved)

Precisions

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

ival-mult: 5.0ms (50.4% of total)

ival-sub: 3.0ms (30.2% of total)

ival-add: 1.0ms (10.1% of total)

ival-neg: 1.0ms (10.1% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

7.0MiB live, 7.0MiB allocated

Counts

10 → 37

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	y	@	inf	((+ x (* y (- z x))) (* (- 1 y) x) (- 1 y) (+ x (* y (- z x))) (* (- 1 y) x) (- 1 y) (neg y) (+ x (* y (- z x))) (* (- z x) y) (- z x))
1.0ms	y	@	-inf	((+ x (* y (- z x))) (* (- 1 y) x) (- 1 y) (+ x (* y (- z x))) (* (- 1 y) x) (- 1 y) (neg y) (+ x (* y (- z x))) (* (- z x) y) (- z x))
1.0ms	x	@	-inf	((+ x (* y (- z x))) (* (- 1 y) x) (- 1 y) (+ x (* y (- z x))) (* (- 1 y) x) (- 1 y) (neg y) (+ x (* y (- z x))) (* (- z x) y) (- z x))
0.0ms	x	@	inf	((+ x (* y (- z x))) (* (- 1 y) x) (- 1 y) (+ x (* y (- z x))) (* (- 1 y) x) (- 1 y) (neg y) (+ x (* y (- z x))) (* (- z x) y) (- z x))
0.0ms	x	@	0	((+ x (* y (- z x))) (* (- 1 y) x) (- 1 y) (+ x (* y (- z x))) (* (- 1 y) x) (- 1 y) (neg y) (+ x (* y (- z x))) (* (- z x) y) (- z x))

simplify97.0ms (3%)

Memory

-3.0MiB live, 87.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	86	180
1	302	173
2	969	173
3	3003	173
4	5487	173
5	7379	173
0	8244	164

Stop Event

1×	iter limit
1×	node limit

Counts

37 → 35

Calls

Call 1

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

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

rewrite177.0ms (5.4%)

Memory

39.7MiB live, 177.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	80
0	23	80
1	67	80
2	390	80
3	4112	80
0	8533	77

Stop Event

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

Counts

10 → 75

Calls

Call 1

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

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

eval28.0ms (0.9%)

Memory: -34.6MiB live, 12.1MiB allocated
Compiler: Compiled 2 184 to 364 computations (83.3% saved)

prune5.0ms (0.1%)

Memory

7.8MiB live, 7.8MiB allocated

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	87	0	87
Fresh	0	0	0
Picked	0	3	3
Done	0	3	3
Total	87	6	93

Accuracy

100.0%

Counts

93 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (-.f64 z x) y x)
✓	65.8%	#s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y))
✓	62.2%	#s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x))
✓	28.4%	#s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x))
✓	36.6%	#s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))
✓	43.2%	#s(approx (+ x (* y (- z x))) (*.f64 z y))

Compiler

Compiled 155 to 83 computations (46.5% saved)

regimes11.0ms (0.3%)

Memory

13.1MiB live, 13.1MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

regimes9.0ms (0.3%)

Memory

11.7MiB live, 11.7MiB allocated

Counts

5 → 3

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
75.7%	5	`(+.f64 x (*.f64 y (-.f64 z x)))`
85.2%	3	`x`
85.8%	3	`y`
79.2%	3	`z`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes4.0ms (0.1%)

Memory

5.7MiB live, 5.7MiB allocated

Counts

4 → 3

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
81.1%	3	`x`
66.7%	3	`y`

Compiler

Compiled 2 to 6 computations (-200% saved)

regimes91.0ms (2.8%)

Memory

-52.9MiB live, 17.7MiB allocated

Counts

3 → 4

Calls

Call 1

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

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

Calls

4 calls:

86.0ms	x
2.0ms	z
2.0ms	y
1.0ms	(+.f64 x (*.f64 y (-.f64 z x)))

Results

Accuracy	Segments	Branch
65.4%	4	`y`
53.7%	5	`(+.f64 x (*.f64 y (-.f64 z x)))`
56.5%	3	`z`
59.6%	3	`x`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes2.0ms (0%)

Memory

2.5MiB live, 2.5MiB allocated

Counts

2 → 3

Calls

Call 1

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

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

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
63.2%	3	`y`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes4.0ms (0.1%)

Memory

7.7MiB live, 7.7MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
43.2%	1	`(+.f64 x (*.f64 y (-.f64 z x)))`
43.2%	1	`z`
43.2%	1	`x`
43.2%	1	`y`

Compiler

Compiled 10 to 15 computations (-50% saved)

bsearch15.0ms (0.4%)

Memory

20.1MiB live, 20.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	8.516974387022452e-12	8.188144720392599e-10
5.0ms	-1.1273258988472068e-7	-5.688148762386853e-8

Samples

7.0ms

176×

valid

Compiler

Compiled 296 to 243 computations (17.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-sub: 1.0ms (32.4% of total)

ival-add: 1.0ms (32.4% of total)

ival-mult: 1.0ms (32.4% of total)

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

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

bsearch28.0ms (0.8%)

Memory

-15.1MiB live, 33.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	3.1093949236146524e-119	3.0120608391644316e-109
13.0ms	-3225.3398436295793	-0.37003207140872496

Samples

12.0ms

288×

valid

Compiler

Compiled 442 to 372 computations (15.8% saved)

Precisions

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

ival-sub: 2.0ms (36.9% of total)

ival-mult: 2.0ms (36.9% of total)

ival-add: 1.0ms (18.5% of total)

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

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

bsearch31.0ms (0.9%)

Memory

-7.4MiB live, 37.2MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
8.0ms	4.099711755021852e-49	1.2637431649039234e-47
12.0ms	-0.0036986594462887446	-8.654663872837167e-7
7.0ms	-8.18419562036474e+158	-5.3304234339727855e+157

Samples

13.0ms

336×

valid

Compiler

Compiled 602 to 506 computations (15.9% saved)

Precisions

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

ival-sub: 2.0ms (33.4% of total)

ival-add: 2.0ms (33.4% of total)

ival-mult: 2.0ms (33.4% of total)

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

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

bsearch4.0ms (0.1%)

Memory

7.5MiB live, 7.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	4.099711755021852e-49	1.2637431649039234e-47
3.0ms	-1.1273258988472068e-7	-5.688148762386853e-8

Samples

1.0ms

32×

valid

Compiler

Compiled 296 to 254 computations (14.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

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

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

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

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

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

simplify16.0ms (0.5%)

Memory

-23.4MiB live, 20.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	185
1	70	185
2	82	185
3	94	185
4	103	185

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (-.f64 z x) y x)
(if (<=.f64 y #s(literal -3022314549036573/37778931862957161709568 binary64)) #s(approx (+ x (* y (- z x))) (.f64 (-.f64 z x) y)) (if (<=.f64 y #s(literal 7737125245533627/77371252455336267181195264 binary64)) #s(approx (+ x ( y (- z x))) (.f64 (-.f64 #s(literal 1 binary64) y) x)) #s(approx (+ x ( y (- z x))) (*.f64 (-.f64 z x) y))))
(if (<=.f64 x #s(literal -4278419646001971/4503599627370496 binary64)) #s(approx (+ x (* y (- z x))) (.f64 (-.f64 #s(literal 1 binary64) y) x)) (if (<=.f64 x #s(literal 3535153860004039/1386334847060407429789207092071541851718218537687908287585239790307310653902812811519987203052069789048695605480701785914487078912 binary64)) #s(approx (+ x ( y (- z x))) (.f64 z y)) #s(approx (+ x ( y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x))))
(if (<=.f64 y #s(literal -55000000000000002895483123110496148624059281025822092572204635915651874851175025979421394095998335044738592325116693385925007183209870519510495256999142359040 binary64)) #s(approx (+ x (* y (- z x))) (.f64 z y)) (if (<=.f64 y #s(literal -8416326983629983/2305843009213693952 binary64)) #s(approx (+ x ( y (- z x))) (.f64 #s(approx (- 1 y) (neg.f64 y)) x)) (if (<=.f64 y #s(literal 8556623698070271/1645504557321206042154969182557350504982735865633579863348609024 binary64)) #s(approx (+ x ( y (- z x))) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) #s(approx (+ x ( y (- z x))) (*.f64 z y)))))
(if (<=.f64 y #s(literal -4382356096103031/75557863725914323419136 binary64)) #s(approx (+ x (* y (- z x))) (.f64 z y)) (if (<=.f64 y #s(literal 8556623698070271/1645504557321206042154969182557350504982735865633579863348609024 binary64)) #s(approx (+ x ( y (- z x))) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) #s(approx (+ x ( y (- z x))) (*.f64 z y))))
#s(approx (+ x (* y (- z x))) (*.f64 z y))

Outputs
(fma.f64 (-.f64 z x) y x)
(if (<=.f64 y #s(literal -3022314549036573/37778931862957161709568 binary64)) #s(approx (+ x (* y (- z x))) (.f64 (-.f64 z x) y)) (if (<=.f64 y #s(literal 7737125245533627/77371252455336267181195264 binary64)) #s(approx (+ x ( y (- z x))) (.f64 (-.f64 #s(literal 1 binary64) y) x)) #s(approx (+ x ( y (- z x))) (*.f64 (-.f64 z x) y))))
(if (or (<=.f64 y #s(literal -3022314549036573/37778931862957161709568 binary64)) (not (<=.f64 y #s(literal 7737125245533627/77371252455336267181195264 binary64)))) #s(approx (+ x (* y (- z x))) (.f64 (-.f64 z x) y)) #s(approx (+ x ( y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)))
(if (<=.f64 x #s(literal -4278419646001971/4503599627370496 binary64)) #s(approx (+ x (* y (- z x))) (.f64 (-.f64 #s(literal 1 binary64) y) x)) (if (<=.f64 x #s(literal 3535153860004039/1386334847060407429789207092071541851718218537687908287585239790307310653902812811519987203052069789048695605480701785914487078912 binary64)) #s(approx (+ x ( y (- z x))) (.f64 z y)) #s(approx (+ x ( y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x))))
(if (or (<=.f64 x #s(literal -4278419646001971/4503599627370496 binary64)) (not (<=.f64 x #s(literal 3535153860004039/1386334847060407429789207092071541851718218537687908287585239790307310653902812811519987203052069789048695605480701785914487078912 binary64)))) #s(approx (+ x (* y (- z x))) (.f64 (-.f64 #s(literal 1 binary64) y) x)) #s(approx (+ x ( y (- z x))) (*.f64 z y)))
(if (<=.f64 y #s(literal -55000000000000002895483123110496148624059281025822092572204635915651874851175025979421394095998335044738592325116693385925007183209870519510495256999142359040 binary64)) #s(approx (+ x (* y (- z x))) (.f64 z y)) (if (<=.f64 y #s(literal -8416326983629983/2305843009213693952 binary64)) #s(approx (+ x ( y (- z x))) (.f64 #s(approx (- 1 y) (neg.f64 y)) x)) (if (<=.f64 y #s(literal 8556623698070271/1645504557321206042154969182557350504982735865633579863348609024 binary64)) #s(approx (+ x ( y (- z x))) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) #s(approx (+ x ( y (- z x))) (*.f64 z y)))))
(if (<=.f64 y #s(literal -4382356096103031/75557863725914323419136 binary64)) #s(approx (+ x (* y (- z x))) (.f64 z y)) (if (<=.f64 y #s(literal 8556623698070271/1645504557321206042154969182557350504982735865633579863348609024 binary64)) #s(approx (+ x ( y (- z x))) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) #s(approx (+ x ( y (- z x))) (*.f64 z y))))
(if (or (<=.f64 y #s(literal -4382356096103031/75557863725914323419136 binary64)) (not (<=.f64 y #s(literal 8556623698070271/1645504557321206042154969182557350504982735865633579863348609024 binary64)))) #s(approx (+ x (* y (- z x))) (.f64 z y)) #s(approx (+ x ( y (- z x))) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)))
#s(approx (+ x (* y (- z x))) (*.f64 z y))

soundness1.2s (36.2%)

Memory

15.7MiB live, 450.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	37	15
2	275	15
3	3239	15
0	8340	14
0	73	191
1	266	137
2	894	137
3	2847	137
4	5287	137
5	7163	137
0	8030	128
0	78	155
1	263	148
2	810	148
3	2627	148
4	5776	148
5	7804	148
0	8224	139

Stop Event

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

Compiler

Compiled 265 to 136 computations (48.7% saved)

preprocess38.0ms (1.2%)

Memory: 30.7MiB live, 71.9MiB allocated
Compiler: Compiled 384 to 118 computations (69.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	27	72
1	62	71
2	118	70
3	184	70
4	250	70
5	256	70
0	6	7
0	9	7
1	14	7
2	22	7
3	33	7
4	42	7
0	42	6

Iter	Nodes	Cost
0	27	72
1	62	71
2	118	70
3	184	70
4	250	70
5	256	70
0	6	7
0	9	7
1	14	7
2	22	7
3	33	7
4	42	7
0	42	6

start0.0ms (0%)

analyze0.0ms (0%)

sample667.0ms (20.4%)

explain70.0ms (2.1%)

preprocess15.0ms (0.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize26.0ms (0.8%)

series5.0ms (0.2%)

simplify99.0ms (3%)

rewrite171.0ms (5.2%)

eval54.0ms (1.6%)

prune21.0ms (0.6%)

simplify5.0ms (0.1%)

localize27.0ms (0.8%)

series6.0ms (0.2%)

simplify92.0ms (2.8%)

rewrite188.0ms (5.7%)

eval21.0ms (0.6%)

prune23.0ms (0.7%)

simplify4.0ms (0.1%)

localize28.0ms (0.9%)

series4.0ms (0.1%)

simplify97.0ms (3%)

rewrite177.0ms (5.4%)

eval28.0ms (0.9%)

prune5.0ms (0.1%)

regimes11.0ms (0.3%)

regimes9.0ms (0.3%)

regimes4.0ms (0.1%)

regimes91.0ms (2.8%)

regimes2.0ms (0%)

regimes4.0ms (0.1%)

bsearch15.0ms (0.4%)

bsearch28.0ms (0.8%)

bsearch31.0ms (0.9%)

bsearch4.0ms (0.1%)

simplify16.0ms (0.5%)

soundness1.2s (36.2%)

preprocess38.0ms (1.2%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	27	72
1	62	71
2	118	70
3	184	70
4	250	70
5	256	70
0	6	7
0	9	7
1	14	7
2	22	7
3	33	7
4	42	7
0	42	6