Metrics for SynthBasics:oscSampleBasedAux from YampaSynth-0.2

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.2MiB live, 0.2MiB 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)

sample1.8s (1.1%)

Memory

0.1MiB live, 719.7MiB allocated

Samples

380.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 176.0ms

ival-sub: 70.0ms (39.7% of total)

ival-mult: 54.0ms (30.6% of total)

ival-add: 44.0ms (25% of total)

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

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

Bogosity

explain86.0ms (0%)

Memory

2.9MiB live, 117.9MiB 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

28.0ms

512×

valid

Compiler

Compiled 83 to 34 computations (59% saved)

Precisions

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

ival-sub: 3.0ms (31.2% of total)

ival-mult: 3.0ms (31.2% of total)

ival-add: 2.0ms (20.8% of total)

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

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

preprocess89.0ms (0.1%)

Memory

13.4MiB live, 53.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	72
1	68	63
2	208	63
3	681	63
4	1308	63
5	2067	63
6	2345	63
7	2377	63
8	2377	63
0	6	7
0	9	7
1	13	7
2	24	7
3	48	7
4	84	7
5	130	7
6	220	7
7	370	7
8	585	7
9	670	7
10	692	7
0	692	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)

simplify18.0ms (0%)

Memory

15.5MiB live, 15.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	9	18
1	13	18
2	24	18
3	48	18
4	84	18
5	130	18
6	220	18
7	370	18
8	585	18
9	670	18
10	692	18
0	692	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

localize21.0ms (0%)

Memory

-9.3MiB live, 27.8MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 z x)
accuracy	0.00390625	(+.f64 x (*.f64 y (-.f64 z x)))
accuracy	0.015625	(*.f64 y (-.f64 z x))

Samples

17.0ms

256×

valid

Compiler

Compiled 38 to 14 computations (63.2% saved)

Precisions

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

ival-add: 3.0ms (44.5% of total)

ival-mult: 2.0ms (29.7% of total)

ival-sub: 1.0ms (14.8% of total)

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

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

series5.0ms (0%)

Memory

6.4MiB live, 6.4MiB 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))
0.0ms	y	@	-inf	((+ x (* y (- z x))) (* y (- z x)) (- z x))
0.0ms	x	@	-inf	((+ x (* y (- z x))) (* y (- z x)) (- z x))

simplify137.0ms (0.1%)

Memory

5.1MiB live, 78.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	185
1	242	137
2	727	137
3	2041	137
4	4197	137
5	5998	137
6	7385	137
0	8198	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)

rewrite189.0ms (0.1%)

Memory

6.8MiB live, 206.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	36	15
2	286	15
3	3817	15
0	10869	14

Stop Event

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

Counts

3 → 258

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (/.f64 (-.f64 x (.f64 (-.f64 z x) y)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 z x) y) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x (pow.f64 (.f64 (-.f64 z x) y) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 x (.f64 (-.f64 z x) y)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (-.f64 z x) y) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (.f64 (-.f64 z x) y) #s(literal 2 binary64)) (fma.f64 x x (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 z x) y (neg.f64 x)) (.f64 (-.f64 z x) y) (.f64 x x)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (-.f64 z x) y) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 z x) y (neg.f64 x)) (.f64 (-.f64 z x) y) (.f64 x x)) (+.f64 (pow.f64 (.f64 (-.f64 z x) y) #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (-.f64 z x) y) #s(literal 6 binary64))) (pow.f64 (.f64 (*.f64 (-.f64 z x) y) x) #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 (-.f64 z x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (fma.f64 (-.f64 z x) y (neg.f64 x)) (.f64 (-.f64 z x) y)) #s(literal 2 binary64)))) (-.f64 (.f64 x x) (.f64 (fma.f64 (-.f64 z x) y (neg.f64 x)) (*.f64 (-.f64 z x) y))))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 (-.f64 z x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (fma.f64 (-.f64 z x) y (neg.f64 x)) (.f64 (-.f64 z x) y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 (fma.f64 (-.f64 z x) y (neg.f64 x)) (.f64 (-.f64 z x) y)) (-.f64 (.f64 (fma.f64 (-.f64 z x) y (neg.f64 x)) (.f64 (-.f64 z x) y)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (-.f64 z x) y) #s(literal 2 binary64))) (-.f64 (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 (pow.f64 (.f64 (-.f64 z x) y) #s(literal 2 binary64)) (*.f64 x x)) (pow.f64 (fma.f64 (-.f64 z x) y (neg.f64 x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (-.f64 x (.f64 (-.f64 z x) y)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (-.f64 z x) y) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (-.f64 x (.f64 (-.f64 z x) y)) #s(literal -1 binary64)) (-.f64 (.f64 x x) (pow.f64 (.f64 (-.f64 z x) y) #s(literal 2 binary64))))
(.f64 (pow.f64 (fma.f64 (fma.f64 (-.f64 z x) y (neg.f64 x)) (.f64 (-.f64 z x) y) (.f64 x x)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (pow.f64 (.f64 (-.f64 z x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 (fma.f64 (-.f64 z x) y (neg.f64 x)) (.f64 (-.f64 z x) y) (.f64 x x)) #s(literal -1 binary64)) (+.f64 (pow.f64 (.f64 (-.f64 z x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 (-.f64 z x) y x))
(.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 z x) y) #s(literal 3 binary64))) (pow.f64 (neg.f64 (fma.f64 (fma.f64 (-.f64 z x) y (neg.f64 x)) (.f64 (-.f64 z x) y) (.f64 x x))) #s(literal -1 binary64)))
(.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (-.f64 z x) y) #s(literal 2 binary64)))) (pow.f64 (neg.f64 (-.f64 x (.f64 (-.f64 z x) y))) #s(literal -1 binary64)))
(.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (-.f64 z x) y) #s(literal 2 binary64))) (pow.f64 (-.f64 x (.f64 (-.f64 z x) y)) #s(literal -1 binary64)))
(.f64 (fma.f64 (fma.f64 (-.f64 z x) y (neg.f64 x)) (.f64 (-.f64 z x) y) (.f64 x x)) (/.f64 (fma.f64 (-.f64 z x) y x) (fma.f64 (fma.f64 (-.f64 z x) y (neg.f64 x)) (.f64 (-.f64 z x) y) (*.f64 x x))))
(.f64 (fma.f64 (fma.f64 (-.f64 z x) y (neg.f64 x)) (.f64 (-.f64 z x) y) (.f64 x x)) (.f64 (fma.f64 (-.f64 z x) y x) (pow.f64 (fma.f64 (fma.f64 (-.f64 z x) y (neg.f64 x)) (.f64 (-.f64 z x) y) (.f64 x x)) #s(literal -1 binary64))))
(.f64 (+.f64 (pow.f64 (.f64 (-.f64 z x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (fma.f64 (-.f64 z x) y (neg.f64 x)) (.f64 (-.f64 z x) y) (.f64 x x)) #s(literal -1 binary64)))
(.f64 (fma.f64 (-.f64 z x) y x) (/.f64 (-.f64 x (.f64 (-.f64 z x) y)) (-.f64 x (*.f64 (-.f64 z x) y))))
(.f64 (fma.f64 (-.f64 z x) y x) (.f64 (-.f64 x (.f64 (-.f64 z x) y)) (pow.f64 (-.f64 x (.f64 (-.f64 z x) y)) #s(literal -1 binary64))))
(pow.f64 (/.f64 (fma.f64 (-.f64 z x) y (neg.f64 x)) (-.f64 (pow.f64 (.f64 (-.f64 z x) y) #s(literal 2 binary64)) (.f64 x x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 z x) y x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 (-.f64 z x) y x) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (-.f64 z x) y) #s(literal 2 binary64)) (fma.f64 (-.f64 z x) y (neg.f64 x))) (.f64 (fma.f64 (-.f64 z x) y (neg.f64 x)) (.f64 x x))) (pow.f64 (fma.f64 (-.f64 z x) y (neg.f64 x)) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (neg.f64 x) x) (neg.f64 (-.f64 x (.f64 (-.f64 z x) y)))) (.f64 (neg.f64 (-.f64 x (.f64 (-.f64 z x) y))) (neg.f64 (pow.f64 (.f64 (-.f64 z x) y) #s(literal 2 binary64))))) (.f64 (neg.f64 (-.f64 x (.f64 (-.f64 z x) y))) (neg.f64 (-.f64 x (*.f64 (-.f64 z x) y)))))
(/.f64 (-.f64 (.f64 (.f64 (neg.f64 x) x) (/.f64 (-.f64 x (.f64 (-.f64 z x) y)) (pow.f64 (.f64 (-.f64 z x) y) #s(literal 2 binary64)))) (.f64 (neg.f64 (-.f64 x (.f64 (-.f64 z x) y))) #s(literal 1 binary64))) (.f64 (neg.f64 (-.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)))))
(/.f64 (-.f64 (.f64 (.f64 (neg.f64 x) x) (-.f64 x (.f64 (-.f64 z x) y))) (.f64 (neg.f64 (-.f64 x (.f64 (-.f64 z x) y))) (pow.f64 (.f64 (-.f64 z x) y) #s(literal 2 binary64)))) (.f64 (neg.f64 (-.f64 x (.f64 (-.f64 z x) y))) (-.f64 x (*.f64 (-.f64 z x) y))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x (.f64 (-.f64 z x) y)))) (.f64 (/.f64 (-.f64 x (.f64 (-.f64 z x) y)) (.f64 x x)) (neg.f64 (pow.f64 (.f64 (-.f64 z x) y) #s(literal 2 binary64))))) (.f64 (/.f64 (-.f64 x (.f64 (-.f64 z x) y)) (.f64 x x)) (neg.f64 (-.f64 x (.f64 (-.f64 z x) y)))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (.f64 (-.f64 z x) y)) (pow.f64 (.f64 (-.f64 z x) y) #s(literal 2 binary64)))) (.f64 (/.f64 (-.f64 x (.f64 (-.f64 z x) y)) (.f64 x x)) #s(literal 1 binary64))) (.f64 (/.f64 (-.f64 x (.f64 (-.f64 z x) y)) (.f64 x x)) (/.f64 (-.f64 x (.f64 (-.f64 z x) y)) (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 x (.f64 (-.f64 z x) y))) (.f64 (/.f64 (-.f64 x (.f64 (-.f64 z x) y)) (.f64 x x)) (pow.f64 (.f64 (-.f64 z x) y) #s(literal 2 binary64)))) (.f64 (/.f64 (-.f64 x (.f64 (-.f64 z x) y)) (.f64 x x)) (-.f64 x (.f64 (-.f64 z x) y))))
(/.f64 (-.f64 (.f64 (.f64 x x) (neg.f64 (-.f64 x (.f64 (-.f64 z x) y)))) (.f64 (-.f64 x (.f64 (-.f64 z x) y)) (neg.f64 (pow.f64 (.f64 (-.f64 z x) y) #s(literal 2 binary64))))) (.f64 (-.f64 x (.f64 (-.f64 z x) y)) (neg.f64 (-.f64 x (*.f64 (-.f64 z x) y)))))
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(/.f64 (.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x x) (fma.f64 z z (.f64 x x)) (pow.f64 z #s(literal 4 binary64))) (+.f64 z x)))
(/.f64 (.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 z x) x (*.f64 z z))))
(/.f64 (.f64 (-.f64 (pow.f64 z #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (-.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 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (+.f64 z x) x (.f64 z z)))
(/.f64 (.f64 (fma.f64 (neg.f64 x) x (.f64 z z)) #s(literal 1 binary64)) (+.f64 z x))
(/.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 (+.f64 z x) (fma.f64 z z (.f64 x x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (-.f64 z x) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 z x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z x) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 z #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (.f64 (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))) (pow.f64 (*.f64 z x) #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 (+.f64 z x) (fma.f64 (.f64 x x) (fma.f64 z z (*.f64 x x)) (pow.f64 z #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 (fma.f64 (+.f64 z x) x (.f64 z z)) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (neg.f64 (fma.f64 (neg.f64 x) x (*.f64 z z))) (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 (fma.f64 (neg.f64 x) x (*.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 x (-.f64 (.f64 z z) (.f64 (neg.f64 x) z))))
(/.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 (pow.f64 z #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)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (.f64 z z)))))
(fma.f64 (/.f64 (pow.f64 z #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))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 z x) 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 x (-.f64 x z) (.f64 z z)) (neg.f64 (*.f64 x (/.f64 x (+.f64 z x)))))
(fma.f64 (/.f64 (.f64 z z) (fma.f64 (neg.f64 x) x (.f64 z z))) (-.f64 z x) (neg.f64 (*.f64 x (/.f64 x (+.f64 z x)))))
(fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (/.f64 (pow.f64 z #s(literal 3/2 binary64)) (fma.f64 (+.f64 z x) x (.f64 z z))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (.f64 z z)))))
(fma.f64 #s(literal -1 binary64) x z)
(fma.f64 (.f64 z z) (/.f64 z (fma.f64 (+.f64 z x) x (.f64 z z))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z)))))
(fma.f64 (.f64 z z) (pow.f64 (+.f64 z x) #s(literal -1 binary64)) (neg.f64 (.f64 x (/.f64 x (+.f64 z x)))))
(fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (fma.f64 (+.f64 z x) x (.f64 z z)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (.f64 z z)))))
(fma.f64 z (/.f64 (.f64 z z) (fma.f64 (+.f64 z x) x (.f64 z z))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z)))))
(fma.f64 z (/.f64 z (+.f64 z x)) (neg.f64 (*.f64 x (/.f64 x (+.f64 z x)))))
(fma.f64 x #s(literal -1 binary64) z)
(-.f64 (+.f64 z #s(literal 0 binary64)) x)
(-.f64 #s(literal 0 binary64) (-.f64 x z))
(-.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)
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 z x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (.f64 z (/.f64 z (+.f64 z x))) (neg.f64 (.f64 x (/.f64 x (+.f64 z x)))))
(+.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (.f64 z z))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (.f64 z z)))))
(+.f64 (neg.f64 x) z)
(+.f64 z (neg.f64 x))

eval31.0ms (0%)

Memory: -2.3MiB live, 35.7MiB allocated
Compiler: Compiled 6 918 to 970 computations (86% saved)

prune4.0ms (0%)

Memory

12.2MiB live, 12.2MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	261	4	265
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	262	4	266

Accuracy

100.0%

Counts

266 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (-.f64 z x) y x)
▶	99.2%	(fma.f64 z y (fma.f64 (neg.f64 x) y x))
▶	57.5%	#s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x))
▶	46.0%	#s(approx (+ x (* y (- z x))) (*.f64 z y))

Compiler

Compiled 38 to 29 computations (23.7% saved)

simplify31.0ms (0%)

Memory

-16.8MiB live, 22.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 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	(neg.f64 x)
cost-diff	0	(fma.f64 (neg.f64 x) y x)
cost-diff	320	(fma.f64 z y (fma.f64 (neg.f64 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: 1 (0.0ms)

Iter	Nodes	Cost
0	17	70
0	27	70
1	46	66
2	74	66
3	118	66
4	198	66
5	322	66
6	486	66
7	610	66
8	629	66
0	629	66

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

localize75.0ms (0%)

Memory

-22.9MiB live, 69.3MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 z x)
accuracy	0.0078125	(fma.f64 (-.f64 z x) y x)
accuracy	0	(fma.f64 (neg.f64 x) y x)
accuracy	0	(neg.f64 x)
accuracy	0.49999449521112044	(fma.f64 z y (fma.f64 (neg.f64 x) y x))
accuracy	0	(-.f64 #s(literal 1 binary64) y)
accuracy	0.00390625	(*.f64 (-.f64 #s(literal 1 binary64) y) x)
accuracy	27.195871421537156	#s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x))
accuracy	0	(*.f64 z y)
accuracy	34.58374265849056	#s(approx (+ x (* y (- z x))) (*.f64 z y))

Samples

31.0ms

256×

valid

Compiler

Compiled 136 to 35 computations (74.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-add: 8.0ms (40.2% of total)

ival-mult: 8.0ms (40.2% of total)

ival-sub: 3.0ms (15.1% of total)

ival-neg: 1.0ms (5% of total)

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

exact: 0.0ms (0% of total)

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

series10.0ms (0%)

Memory

10.7MiB live, 10.7MiB allocated

Counts

10 → 37

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

Outputs
(* y z)
(+ (* x (+ 1 (* -1 y))) (* y z))
(* x (- 1 y))
(* x (+ 1 (* -1 y)))
(* -1 x)
z
(+ z (* -1 x))
(* x (+ 1 (+ (* -1 y) (/ (* y z) 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))
(+ x (* y (+ z (* -1 x))))
(* y (- z x))
(* y (- (+ z (/ x y)) x))
(* -1 (* x y))
(* y (+ (* -1 x) (/ x y)))
(* -1 y)
(* y (- (/ 1 y) 1))
(* y (+ z (* -1 x)))
(* y (+ z (+ (* -1 x) (/ x y))))
(* -1 (* y (+ (* -1 (- z x)) (* -1 (/ x y)))))
(* -1 (* y (+ x (* -1 (/ x y)))))
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (+ x (* -1 z))))
(* -1 (* y (+ x (+ (* -1 z) (* -1 (/ x 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
2.0ms	y	@	inf	((+ x (* y (- z x))) (* z y) (+ x (* y (- z x))) (* (- 1 y) x) (- 1 y) (+ (* z y) (+ (* (neg x) y) x)) (+ (* (neg x) y) x) (neg x) (+ (* (- 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 y) (+ (* (neg x) y) x)) (+ (* (neg x) y) x) (neg x) (+ (* (- z x) y) x) (- z x))
1.0ms	x	@	0	((+ x (* y (- z x))) (* z y) (+ x (* y (- z x))) (* (- 1 y) x) (- 1 y) (+ (* z y) (+ (* (neg x) y) x)) (+ (* (neg x) y) x) (neg x) (+ (* (- 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 y) (+ (* (neg x) y) x)) (+ (* (neg x) y) x) (neg x) (+ (* (- 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 y) (+ (* (neg x) y) x)) (+ (* (neg x) y) x) (neg x) (+ (* (- z x) y) x) (- z x))

simplify101.0ms (0.1%)

Memory

12.6MiB live, 87.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	90	170
1	292	170
2	803	170
3	2118	170
4	4779	170
5	7119	170
0	8243	158

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

rewrite171.0ms (0.1%)

Memory

-13.6MiB live, 177.1MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	59
0	27	59
1	118	55
2	881	55
0	8372	55

Stop Event

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

Counts

10 → 509

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 z y (fma.f64 (neg.f64 x) y x))
(fma.f64 (neg.f64 x) y x)
(neg.f64 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))) (*.f64 (-.f64 #s(literal 1 binary64) y) x))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) x) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) x) (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(.f64 (.f64 x (-.f64 #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 -1 binary64)))
(.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 y x))))
(.f64 (neg.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (fma.f64 y x x)))))
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(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (.f64 y x) x)))) (*.f64 z y))
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (pow.f64 (fma.f64 x (+.f64 x (.f64 y x)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)) (.f64 z y))
(fma.f64 (.f64 x x) (pow.f64 (-.f64 x (.f64 (-.f64 z x) y)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (.f64 (-.f64 z x) y) #s(literal 2 binary64)) (-.f64 x (.f64 (-.f64 z x) y)))))
(fma.f64 (pow.f64 (.f64 (-.f64 z x) y) #s(literal 2 binary64)) (pow.f64 (fma.f64 (-.f64 z x) y (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (.f64 x x) (fma.f64 (-.f64 z x) y (neg.f64 x)))))
(fma.f64 (-.f64 z x) y x)
(fma.f64 (neg.f64 x) y (+.f64 x (*.f64 z y)))
(fma.f64 (-.f64 #s(literal 1 binary64) y) x (*.f64 z y))
(fma.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) x) (.f64 z y))
(fma.f64 #s(literal 1 binary64) x (*.f64 (-.f64 z x) y))
(fma.f64 z y (*.f64 (-.f64 #s(literal 1 binary64) y) x))
(fma.f64 y (-.f64 z x) x)
(fma.f64 y (neg.f64 x) (+.f64 x (*.f64 z y)))
(fma.f64 y z (*.f64 (-.f64 #s(literal 1 binary64) y) x))
(fma.f64 x (neg.f64 y) (+.f64 x (*.f64 z y)))
(fma.f64 x (-.f64 #s(literal 1 binary64) y) (*.f64 z y))
(fma.f64 x #s(literal 1 binary64) (*.f64 (-.f64 z x) y))
(-.f64 (/.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal 2 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) x (.f64 (neg.f64 y) z))) (/.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) x (.f64 (neg.f64 y) z))))
(-.f64 (fma.f64 z y x) (*.f64 y x))
(-.f64 (/.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) (fma.f64 z y (fma.f64 y x (neg.f64 x)))) (/.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal 2 binary64)) (fma.f64 z y (fma.f64 y x (neg.f64 x)))))
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 (-.f64 z x) y))) (/.f64 (pow.f64 (.f64 (-.f64 z x) y) #s(literal 2 binary64)) (-.f64 x (.f64 (-.f64 z x) y))))
(-.f64 (/.f64 (pow.f64 (.f64 (-.f64 z x) y) #s(literal 2 binary64)) (fma.f64 (-.f64 z x) y (neg.f64 x))) (/.f64 (.f64 x x) (fma.f64 (-.f64 z x) y (neg.f64 x))))
(+.f64 (fma.f64 z y x) (*.f64 (neg.f64 x) y))
(+.f64 (/.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) (fma.f64 z y (fma.f64 y x (neg.f64 x)))) (neg.f64 (/.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal 2 binary64)) (fma.f64 z y (fma.f64 y x (neg.f64 x))))))
(+.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 (-.f64 z x) y))) (neg.f64 (/.f64 (pow.f64 (.f64 (-.f64 z x) y) #s(literal 2 binary64)) (-.f64 x (.f64 (-.f64 z x) y)))))
(+.f64 (/.f64 (pow.f64 (.f64 (-.f64 z x) y) #s(literal 2 binary64)) (fma.f64 (-.f64 z x) y (neg.f64 x))) (neg.f64 (/.f64 (.f64 x x) (fma.f64 (-.f64 z x) y (neg.f64 x)))))
(+.f64 (.f64 (neg.f64 x) y) (+.f64 x (.f64 z y)))
(+.f64 (*.f64 (-.f64 z x) y) x)
(+.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) (.f64 z y))
(+.f64 (.f64 z y) (.f64 (-.f64 #s(literal 1 binary64) y) x))
(+.f64 x (*.f64 (-.f64 z x) y))
(.f64 (.f64 (neg.f64 (+.f64 z x)) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 z x))))
(.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 z z (.f64 x (+.f64 z x))))))
(.f64 (.f64 (+.f64 z x) (-.f64 z x)) (pow.f64 (+.f64 z x) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (-.f64 (.f64 x x) (*.f64 z (neg.f64 x))))))
(.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 z z (.f64 x (+.f64 z x))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (-.f64 z x))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 z z) (+.f64 z x)) (/.f64 (.f64 z z) (+.f64 z x))) (.f64 (/.f64 (.f64 x x) (+.f64 z x)) (/.f64 (.f64 x x) (+.f64 z x)))) (+.f64 (/.f64 (.f64 z z) (+.f64 z x)) (/.f64 (.f64 x x) (+.f64 z x))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z (.f64 x (+.f64 z x)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z (.f64 x (+.f64 z x))))) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 z z (.f64 x (+.f64 z x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 z z (.f64 x (+.f64 z x)))))) (+.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z (.f64 x (+.f64 z x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 z z (.f64 x (+.f64 z x))))))
(/.f64 (-.f64 (.f64 x x) (.f64 z z)) (-.f64 (neg.f64 x) z))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 z z) (+.f64 z x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x x) (+.f64 z x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 z z) (+.f64 z x)) (/.f64 (.f64 z z) (+.f64 z x)) (fma.f64 (/.f64 (.f64 x x) (+.f64 z x)) (/.f64 (.f64 x x) (+.f64 z x)) (.f64 (/.f64 (.f64 z z) (+.f64 z x)) (/.f64 (*.f64 x x) (+.f64 z x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z (.f64 x (+.f64 z x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 z z (.f64 x (+.f64 z x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z (.f64 x (+.f64 z x)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z (.f64 x (+.f64 z x)))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 z z (.f64 x (+.f64 z x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 z z (.f64 x (+.f64 z x)))) (.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z (.f64 x (+.f64 z x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 z z (*.f64 x (+.f64 z x))))))))
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 z z) (.f64 (neg.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 z z (*.f64 x (+.f64 z x))))))
(/.f64 (.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 z z (*.f64 x x)) (+.f64 z x)))
(/.f64 (.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 z x) #s(literal 2 binary64)))) (+.f64 z x)))
(/.f64 (.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 z z (*.f64 x (+.f64 z x)))))
(/.f64 (.f64 (-.f64 (pow.f64 z #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 z x) #s(literal 3 binary64)))) (fma.f64 z z (.f64 x (+.f64 z x)))))
(/.f64 (-.f64 (.f64 (.f64 z z) (+.f64 z x)) (.f64 (+.f64 z x) (.f64 x x))) (*.f64 (+.f64 z x) (+.f64 z x)))
(/.f64 (-.f64 (.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z (.f64 x (+.f64 z x)))) (.f64 (fma.f64 z z (.f64 x (+.f64 z x))) (pow.f64 x #s(literal 3 binary64)))) (.f64 (fma.f64 z z (.f64 x (+.f64 z x))) (fma.f64 z z (*.f64 x (+.f64 z x)))))
(/.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 z z (-.f64 (.f64 x x) (.f64 z (neg.f64 x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 z z (*.f64 x (+.f64 z x)))))
(/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (+.f64 z x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x))))
(/.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 z z (-.f64 (.f64 x x) (.f64 z (neg.f64 x)))))
(/.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 z z (*.f64 x (+.f64 z x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z (-.f64 (.f64 x x) (.f64 z (neg.f64 x)))) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 z x)))
(neg.f64 (/.f64 (*.f64 (neg.f64 (+.f64 z x)) (-.f64 z x)) (+.f64 z x)))
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 z z (*.f64 x (+.f64 z x)))))
(neg.f64 (/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (neg.f64 (+.f64 z x))))
(neg.f64 (/.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 z z (*.f64 x (+.f64 z x))))))
(fma.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) x) z)
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) z)
(fma.f64 #s(literal -1 binary64) x z)
(fma.f64 (.f64 z z) (pow.f64 (+.f64 z x) #s(literal -1 binary64)) (neg.f64 (/.f64 (.f64 x x) (+.f64 z x))))
(fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (fma.f64 z z (.f64 x (+.f64 z x))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 z z (.f64 x (+.f64 z x))))))
(fma.f64 x #s(literal -1 binary64) 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 z z (.f64 x (+.f64 z x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 z z (.f64 x (+.f64 z x)))))
(-.f64 z x)
(+.f64 (/.f64 (.f64 z z) (+.f64 z x)) (neg.f64 (/.f64 (.f64 x x) (+.f64 z x))))
(+.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z (.f64 x (+.f64 z x)))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 z z (.f64 x (+.f64 z x))))))
(+.f64 (neg.f64 x) z)
(+.f64 z (neg.f64 x))

eval62.0ms (0%)

Memory: 16.4MiB live, 61.8MiB allocated
Compiler: Compiled 8 421 to 1 111 computations (86.8% saved)

prune9.0ms (0%)

Memory

-12.4MiB live, 24.3MiB allocated

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	319	4	323
Fresh	0	0	0
Picked	1	3	4
Done	0	0	0
Total	320	7	327

Accuracy

100.0%

Counts

327 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (-.f64 z x) y x)
✓	99.2%	(fma.f64 z y (fma.f64 (neg.f64 x) y x))
▶	64.0%	#s(approx (+ (* z y) (+ (* (neg x) y) x)) (*.f64 (-.f64 z x) y))
▶	57.5%	#s(approx (+ x (* y (- z x))) (fma.f64 (neg.f64 y) x x))
▶	22.3%	#s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x))
▶	37.8%	#s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))
✓	46.0%	#s(approx (+ x (* y (- z x))) (*.f64 z y))

Compiler

Compiled 85 to 63 computations (25.9% saved)

simplify39.0ms (0%)

Memory

4.0MiB live, 39.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(-.f64 z x)
cost-diff	0	(*.f64 (-.f64 z x) y)
cost-diff	0	#s(approx (+ (* z y) (+ (* (neg x) y) x)) (*.f64 (-.f64 z x) y))
cost-diff	0	(neg.f64 y)
cost-diff	0	(fma.f64 (neg.f64 y) x x)
cost-diff	0	#s(approx (+ x (* y (- z x))) (fma.f64 (neg.f64 y) x x))
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	25	112
0	32	112
1	59	109
2	88	109
3	136	109
4	195	109
5	374	109
6	532	109
7	667	109
8	771	109
9	823	109
10	831	109
11	835	109
12	841	109
13	845	109
0	845	105

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

localize71.0ms (0%)

Memory

5.4MiB live, 87.6MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 z x)
accuracy	0.015625	(*.f64 (-.f64 z x) y)
accuracy	23.048313927352464	#s(approx (+ (* z y) (+ (* (neg x) y) x)) (*.f64 (-.f64 z x) y))
accuracy	0	(fma.f64 (neg.f64 y) x x)
accuracy	0	(neg.f64 y)
accuracy	27.195871421537156	#s(approx (+ x (* y (- z x))) (fma.f64 (neg.f64 y) x x))
accuracy	0	(neg.f64 y)
accuracy	0.00390625	(*.f64 #s(approx (- 1 y) (neg.f64 y)) x)
accuracy	27.195871421537156	#s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x))
accuracy	35.14048740750189	#s(approx (- 1 y) (neg.f64 y))
accuracy	0.00390625	(*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)
accuracy	27.195871421537156	#s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))
accuracy	27.499556467052166	#s(approx (- 1 y) #s(literal 1 binary64))

Samples

58.0ms

256×

valid

Compiler

Compiled 188 to 46 computations (75.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-mult: 10.0ms (50.3% of total)

ival-add: 4.0ms (20.1% of total)

ival-sub: 3.0ms (15.1% of total)

ival-neg: 2.0ms (10.1% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0%)

Memory

11.6MiB live, 11.6MiB allocated

Counts

12 → 42

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))) (fma.f64 (neg.f64 y) x x))
(fma.f64 (neg.f64 y) x x)
#s(approx (+ (* z y) (+ (* (neg x) y) 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))
(* x (+ 1 (* -1 y)))
(+ (* -1 (* x y)) (* y z))
z
(+ z (* -1 x))
(* 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)
(+ x (* y (+ z (* -1 x))))
(* y (- z x))
(* y (- (+ z (/ x y)) x))
(* y (+ (* -1 x) (/ x y)))
(* y (- (/ 1 y) 1))
(* y (+ z (* -1 x)))
(* y (+ z (+ (* -1 x) (/ x y))))
(* -1 (* y (+ (* -1 (- z x)) (* -1 (/ x y)))))
(* -1 (* y (+ x (* -1 (/ x y)))))
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (+ x (* -1 z))))
(* -1 (* y (+ x (+ (* -1 z) (* -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	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))) (+ (* (neg y) x) x) (+ (* z y) (+ (* (neg x) y) 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))) (+ (* (neg y) x) x) (+ (* z y) (+ (* (neg x) y) 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))) (+ (* (neg y) x) x) (+ (* z y) (+ (* (neg x) y) 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))) (+ (* (neg y) x) x) (+ (* z y) (+ (* (neg x) y) x)) (* (- z x) y) (- z x))
1.0ms	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))) (+ (* (neg y) x) x) (+ (* z y) (+ (* (neg x) y) x)) (* (- z x) y) (- z x))

simplify5.3s (3.1%)

Memory

8.9MiB live, 1 938.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	98	195
1	328	195
2	928	195
3	2347	195
4	4908	195
5	7162	195
0	8053	183

Stop Event

1×	iter limit
1×	node limit

Counts

42 → 40

Calls

Call 1

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

rewrite32.0s (18.3%)

Memory

-41.8MiB live, 10 274.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	101
0	32	101
1	126	98
2	965	98
0	8552	94

Stop Event

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

Counts

12 → 177

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))) (fma.f64 (neg.f64 y) x x))
(fma.f64 (neg.f64 y) x x)
#s(approx (+ (* z y) (+ (* (neg x) y) 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 (.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) y))
(*.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))))
(*.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))
(/.f64 (neg.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (neg.f64 (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (*.f64 (neg.f64 y) y) (-.f64 #s(literal 0 binary64) (neg.f64 y)))
(/.f64 (*.f64 (neg.f64 y) y) y)
(/.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 y y) (.f64 #s(literal 0 binary64) (neg.f64 y)))))
(/.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (*.f64 y y) (neg.f64 y))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (pow.f64 (neg.f64 y) #s(literal 3 binary64))))
(neg.f64 y)
(-.f64 (/.f64 #s(literal 0 binary64) y) (/.f64 (*.f64 y y) y))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y #s(literal 0 binary64))))
(-.f64 #s(literal 0 binary64) y)
(+.f64 #s(literal 0 binary64) (neg.f64 y))
#s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x))
(.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 y x))))
(.f64 (neg.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (fma.f64 y x x)))))
(.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 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)) (pow.f64 (neg.f64 (fma.f64 y x x)) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (*.f64 y x) x)))))
(.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (pow.f64 (fma.f64 x (+.f64 x (.f64 y x)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) x))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (neg.f64 (fma.f64 y x x))) (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (neg.f64 (fma.f64 y x x)))) (.f64 (/.f64 (.f64 x x) (neg.f64 (fma.f64 y x x))) (/.f64 (.f64 x x) (neg.f64 (fma.f64 y x x))))) (+.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (neg.f64 (fma.f64 y x x))) (/.f64 (.f64 x x) (neg.f64 (fma.f64 y x x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (neg.f64 (fma.f64 y x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x x) (neg.f64 (fma.f64 y x x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (neg.f64 (fma.f64 y x x))) (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (neg.f64 (fma.f64 y x x))) (fma.f64 (/.f64 (.f64 x x) (neg.f64 (fma.f64 y x x))) (/.f64 (.f64 x x) (neg.f64 (fma.f64 y x x))) (.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (neg.f64 (fma.f64 y x x))) (/.f64 (*.f64 x x) (neg.f64 (fma.f64 y x x)))))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (neg.f64 (+.f64 x (*.f64 y x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (+.f64 x (.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (neg.f64 x) y) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (pow.f64 (.f64 (neg.f64 x) y) #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)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (neg.f64 x) y) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (*.f64 y y) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (fma.f64 y x x))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (neg.f64 x) y) #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 (neg.f64 x) y) x) #s(literal 3 binary64)))) (fma.f64 x (+.f64 x (.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (neg.f64 x) y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (*.f64 x x)) (neg.f64 (fma.f64 y x x))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (neg.f64 (fma.f64 y x x))) (.f64 (neg.f64 (fma.f64 y x x)) (.f64 x x))) (pow.f64 (neg.f64 (fma.f64 y x x)) #s(literal 2 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 (neg.f64 (fma.f64 y x x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (+.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (.f64 y x) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 y 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)) (neg.f64 (neg.f64 (neg.f64 (fma.f64 y x x)))))
(/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 x x)) (neg.f64 (fma.f64 y x x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 y 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 x #s(literal 3 binary64)) (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 #s(literal 1 binary64) (/.f64 (+.f64 x (.f64 y x)) (-.f64 (.f64 x x) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (+.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (.f64 y x) x))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) x)))
(/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)))
(neg.f64 (fma.f64 y x (neg.f64 x)))
(fma.f64 #s(literal -1 binary64) (.f64 y x) (.f64 x #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) (.f64 y x) (.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal -1 binary64) (*.f64 y x) x)
(fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (neg.f64 (fma.f64 y x x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (.f64 x x) (neg.f64 (fma.f64 y x x)))))
(fma.f64 (neg.f64 x) y (*.f64 x #s(literal 1 binary64)))
(fma.f64 (neg.f64 x) y (*.f64 #s(literal 1 binary64) x))
(fma.f64 (neg.f64 x) y x)
(fma.f64 (neg.f64 y) x (*.f64 x #s(literal 1 binary64)))
(fma.f64 (neg.f64 y) x (*.f64 #s(literal 1 binary64) x))
(fma.f64 (neg.f64 y) x x)
(fma.f64 #s(literal 1 binary64) x (*.f64 (neg.f64 x) y))
(fma.f64 y (neg.f64 x) (*.f64 x #s(literal 1 binary64)))
(fma.f64 y (neg.f64 x) (*.f64 #s(literal 1 binary64) x))
(fma.f64 y (neg.f64 x) x)
(fma.f64 x (neg.f64 y) (*.f64 x #s(literal 1 binary64)))
(fma.f64 x (neg.f64 y) (*.f64 #s(literal 1 binary64) x))
(fma.f64 x (neg.f64 y) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 (neg.f64 x) y))
(-.f64 (/.f64 (.f64 x x) (+.f64 x (.f64 y x))) (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (+.f64 x (.f64 y x))))
(-.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (neg.f64 (fma.f64 y x x))) (/.f64 (.f64 x x) (neg.f64 (fma.f64 y x x))))
(-.f64 x (*.f64 y x))
(+.f64 (.f64 x #s(literal 1 binary64)) (.f64 (neg.f64 x) y))
(+.f64 (.f64 #s(literal 1 binary64) x) (.f64 (neg.f64 x) y))
(+.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (neg.f64 (fma.f64 y x x))) (neg.f64 (/.f64 (.f64 x x) (neg.f64 (fma.f64 y x x)))))
(+.f64 (.f64 (neg.f64 x) y) (.f64 x #s(literal 1 binary64)))
(+.f64 (.f64 (neg.f64 x) y) (.f64 #s(literal 1 binary64) x))
(+.f64 (*.f64 (neg.f64 x) y) x)
(+.f64 x (*.f64 (neg.f64 x) y))
#s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y))
(.f64 (.f64 (*.f64 (+.f64 z x) (-.f64 z x)) y) (pow.f64 (+.f64 z x) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) y) (pow.f64 (fma.f64 z z (*.f64 x (+.f64 z x))) #s(literal -1 binary64)))
(.f64 (.f64 y (*.f64 (+.f64 z x) (-.f64 z x))) (pow.f64 (+.f64 z x) #s(literal -1 binary64)))
(.f64 (.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 z z (*.f64 x (+.f64 z x))) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.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 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (.f64 z y) (.f64 (neg.f64 x) y))))))
(*.f64 (-.f64 z x) y)
(*.f64 y (-.f64 z x))
(/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 z y) #s(literal 2 binary64))) (-.f64 (.f64 (neg.f64 x) y) (.f64 z y)))
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 z y) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) (.f64 (.f64 (neg.f64 x) y) (*.f64 z y)))))
(/.f64 (neg.f64 (.f64 (.f64 (+.f64 z x) (-.f64 z x)) y)) (neg.f64 (+.f64 z x)))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) y)) (neg.f64 (fma.f64 z z (.f64 x (+.f64 z x)))))
(/.f64 (neg.f64 (.f64 y (.f64 (+.f64 z x) (-.f64 z x)))) (neg.f64 (+.f64 z x)))
(/.f64 (neg.f64 (.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 z z (.f64 x (+.f64 z x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (neg.f64 (fma.f64 z y (*.f64 y x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (.f64 z y) (*.f64 (neg.f64 x) y))))))
(/.f64 (.f64 (.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 z z (.f64 x (+.f64 z x))))
(/.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 z z (.f64 x (+.f64 z x))))
(/.f64 (-.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (fma.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)))))
(/.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 (neg.f64 x) y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 z x) (.f64 (.f64 (+.f64 z x) (-.f64 z x)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z (.f64 x (+.f64 z x))) (.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 z x) (.f64 y (.f64 (+.f64 z x) (-.f64 z x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z (.f64 x (+.f64 z x))) (.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z y (.f64 y x)) (-.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (.f64 z y) (.f64 (neg.f64 x) y)))) (-.f64 (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))))
(/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 z x)))
(fma.f64 #s(literal -1 binary64) (.f64 y x) (.f64 z y))
(fma.f64 (neg.f64 x) y (*.f64 z y))
(fma.f64 (neg.f64 y) x (*.f64 z y))
(fma.f64 z y (*.f64 (neg.f64 x) y))
(fma.f64 y (neg.f64 x) (*.f64 z y))
(fma.f64 y z (*.f64 (neg.f64 x) y))
(fma.f64 x (neg.f64 y) (*.f64 z y))
(-.f64 (/.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) (fma.f64 z y (.f64 y x))) (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 z y (.f64 y x))))
(-.f64 (.f64 z y) (.f64 y x))
(+.f64 (.f64 (neg.f64 x) y) (.f64 z y))
(+.f64 (.f64 z y) (.f64 (neg.f64 x) y))
(.f64 (.f64 (neg.f64 (+.f64 z x)) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 z x))))
(.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 z z (.f64 x (+.f64 z x))))))
(.f64 (.f64 (+.f64 z x) (-.f64 z x)) (pow.f64 (+.f64 z x) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (-.f64 (.f64 x x) (*.f64 z (neg.f64 x))))))
(.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 z z (.f64 x (+.f64 z x))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (-.f64 z x))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 z z) (+.f64 z x)) (/.f64 (.f64 z z) (+.f64 z x))) (.f64 (/.f64 (.f64 x x) (+.f64 z x)) (/.f64 (.f64 x x) (+.f64 z x)))) (+.f64 (/.f64 (.f64 z z) (+.f64 z x)) (/.f64 (.f64 x x) (+.f64 z x))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z (.f64 x (+.f64 z x)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z (.f64 x (+.f64 z x))))) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 z z (.f64 x (+.f64 z x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 z z (.f64 x (+.f64 z x)))))) (+.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z (.f64 x (+.f64 z x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 z z (.f64 x (+.f64 z x))))))
(/.f64 (-.f64 (.f64 x x) (.f64 z z)) (-.f64 (neg.f64 x) z))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 z z) (+.f64 z x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x x) (+.f64 z x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 z z) (+.f64 z x)) (/.f64 (.f64 z z) (+.f64 z x)) (fma.f64 (/.f64 (.f64 x x) (+.f64 z x)) (/.f64 (.f64 x x) (+.f64 z x)) (.f64 (/.f64 (.f64 z z) (+.f64 z x)) (/.f64 (*.f64 x x) (+.f64 z x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z (.f64 x (+.f64 z x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 z z (.f64 x (+.f64 z x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z (.f64 x (+.f64 z x)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z (.f64 x (+.f64 z x)))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 z z (.f64 x (+.f64 z x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 z z (.f64 x (+.f64 z x)))) (.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z (.f64 x (+.f64 z x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 z z (*.f64 x (+.f64 z x))))))))
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 z z) (.f64 (neg.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 z z (*.f64 x (+.f64 z x))))))
(/.f64 (.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 z z (*.f64 x x)) (+.f64 z x)))
(/.f64 (.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 z x) #s(literal 2 binary64)))) (+.f64 z x)))
(/.f64 (.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 z z (*.f64 x (+.f64 z x)))))
(/.f64 (.f64 (-.f64 (pow.f64 z #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 z x) #s(literal 3 binary64)))) (fma.f64 z z (.f64 x (+.f64 z x)))))
(/.f64 (-.f64 (.f64 (.f64 z z) (+.f64 z x)) (.f64 (+.f64 z x) (.f64 x x))) (*.f64 (+.f64 z x) (+.f64 z x)))
(/.f64 (-.f64 (.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z (.f64 x (+.f64 z x)))) (.f64 (fma.f64 z z (.f64 x (+.f64 z x))) (pow.f64 x #s(literal 3 binary64)))) (.f64 (fma.f64 z z (.f64 x (+.f64 z x))) (fma.f64 z z (*.f64 x (+.f64 z x)))))
(/.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 z z (-.f64 (.f64 x x) (.f64 z (neg.f64 x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 z z (*.f64 x (+.f64 z x)))))
(/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (+.f64 z x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x))))
(/.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 z z (-.f64 (.f64 x x) (.f64 z (neg.f64 x)))))
(/.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 z z (*.f64 x (+.f64 z x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z (-.f64 (.f64 x x) (.f64 z (neg.f64 x)))) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 z x)))
(neg.f64 (neg.f64 (-.f64 z x)))
(fma.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) x) z)
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) z)
(fma.f64 #s(literal -1 binary64) x z)
(fma.f64 (.f64 z z) (pow.f64 (+.f64 z x) #s(literal -1 binary64)) (neg.f64 (/.f64 (.f64 x x) (+.f64 z x))))
(fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (fma.f64 z z (.f64 x (+.f64 z x))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 z z (.f64 x (+.f64 z x))))))
(fma.f64 x #s(literal -1 binary64) 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 z z (.f64 x (+.f64 z x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 z z (.f64 x (+.f64 z x)))))
(-.f64 z x)
(+.f64 (/.f64 (.f64 z z) (+.f64 z x)) (neg.f64 (/.f64 (.f64 x x) (+.f64 z x))))
(+.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z (.f64 x (+.f64 z x)))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 z z (.f64 x (+.f64 z x))))))
(+.f64 (neg.f64 x) z)
(+.f64 z (neg.f64 x))

eval1.2s (0.7%)

Memory: -20.7MiB live, 361.6MiB allocated
Compiler: Compiled 5 319 to 758 computations (85.7% saved)

prune5.0ms (0%)

Memory

13.6MiB live, 13.6MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	208	1	209
Fresh	0	0	0
Picked	0	4	4
Done	1	2	3
Total	209	7	216

Accuracy

100.0%

Counts

216 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (-.f64 z x) y x)
▶	63.2%	#s(approx (+ (* z y) (+ (* (neg x) y) x)) (fma.f64 z y (*.f64 (neg.f64 x) y)))
✓	64.0%	#s(approx (+ (* z y) (+ (* (neg x) y) x)) (*.f64 (-.f64 z x) y))
✓	57.5%	#s(approx (+ x (* y (- z x))) (fma.f64 (neg.f64 y) x x))
✓	22.3%	#s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x))
✓	37.8%	#s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))
✓	46.0%	#s(approx (+ x (* y (- z x))) (*.f64 z y))

Compiler

Compiled 95 to 69 computations (27.4% saved)

simplify5.0s (2.9%)

Memory

-7.7MiB live, 1 789.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 x)
cost-diff	0	(*.f64 (neg.f64 x) y)
cost-diff	0	#s(approx (+ (* z y) (+ (* (neg x) y) x)) (fma.f64 z y (*.f64 (neg.f64 x) y)))
cost-diff	320	(fma.f64 z y (*.f64 (neg.f64 x) y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	34
0	15	30
1	29	27
2	53	27
3	95	27
4	144	27
5	261	27
6	401	27
7	564	27
8	635	27
9	645	27
0	645	26

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize7.8s (4.5%)

Memory

34.0MiB live, 2 720.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 (neg.f64 x) y)
accuracy	0	(neg.f64 x)
accuracy	0.5039007452111204	(fma.f64 z y (*.f64 (neg.f64 x) y))
accuracy	23.048313927352464	#s(approx (+ (* z y) (+ (* (neg x) y) x)) (fma.f64 z y (*.f64 (neg.f64 x) y)))

Samples

7.8s

256×

valid

Compiler

Compiled 63 to 23 computations (63.5% saved)

Precisions

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

ival-mult: 4.0ms (46.1% of total)

ival-add: 3.0ms (34.6% of total)

ival-neg: 1.0ms (11.5% of total)

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

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

series9.4s (5.4%)

Memory

-13.9MiB live, 3 139.1MiB allocated

Counts

4 → 23

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
9.3s	y	@	0	((+ (* z y) (* (neg x) y)) (+ (* z y) (+ (* (neg x) y) x)) (* (neg x) y) (neg x))
2.0ms	y	@	inf	((+ (* z y) (* (neg x) y)) (+ (* z y) (+ (* (neg x) y) x)) (* (neg x) y) (neg x))
1.0ms	x	@	inf	((+ (* z y) (* (neg x) y)) (+ (* z y) (+ (* (neg x) y) x)) (* (neg x) y) (neg x))
1.0ms	x	@	-inf	((+ (* z y) (* (neg x) y)) (+ (* z y) (+ (* (neg x) y) x)) (* (neg x) y) (neg x))
1.0ms	x	@	0	((+ (* z y) (* (neg x) y)) (+ (* z y) (+ (* (neg x) y) x)) (* (neg x) y) (neg x))

simplify13.1s (7.5%)

Memory

-19.3MiB live, 4 139.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	160
1	219	123
2	614	123
3	1707	123
4	4386	123
5	6712	123
0	8236	114

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 22

Calls

Call 1

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

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

rewrite6.1s (3.5%)

Memory

16.3MiB live, 1 956.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	31
0	15	27
1	62	24
2	521	24
0	8005	23

Stop Event

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

Counts

4 → 127

Calls

Call 1

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

Outputs
(.f64 (/.f64 (.f64 (.f64 y y) (fma.f64 z z (.f64 (neg.f64 x) x))) (+.f64 (pow.f64 (.f64 y z) #s(literal 3 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64)))) (fma.f64 (.f64 (.f64 (neg.f64 x) y) y) (-.f64 z x) (pow.f64 (*.f64 y z) #s(literal 2 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 y z) #s(literal 3 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64))) (-.f64 (pow.f64 (.f64 y z) #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 (.f64 (neg.f64 x) y) y) (-.f64 (neg.f64 x) z)) #s(literal 2 binary64)))) (+.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64)) (.f64 (.f64 x y) (*.f64 (neg.f64 y) (+.f64 z x)))))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 y z) #s(literal 3 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 (.f64 (neg.f64 x) y) y) (-.f64 (neg.f64 x) z)) #s(literal 3 binary64)) (pow.f64 (.f64 y z) #s(literal 6 binary64)))) (fma.f64 (.f64 (.f64 (.f64 (neg.f64 x) y) y) (-.f64 (neg.f64 x) z)) (-.f64 (.f64 (.f64 (.f64 (neg.f64 x) y) y) (-.f64 (neg.f64 x) z)) (pow.f64 (.f64 y z) #s(literal 2 binary64))) (pow.f64 (*.f64 y z) #s(literal 4 binary64))))
(.f64 (/.f64 (.f64 (.f64 y y) (fma.f64 z z (.f64 (neg.f64 x) x))) (.f64 (.f64 y y) (fma.f64 z z (.f64 (neg.f64 x) x)))) (.f64 (-.f64 z x) y))
(.f64 (/.f64 (.f64 (-.f64 z x) y) y) (/.f64 (*.f64 (+.f64 z x) y) (+.f64 z x)))
(.f64 (pow.f64 (.f64 (+.f64 z x) y) #s(literal -1 binary64)) (.f64 (.f64 y y) (fma.f64 z z (*.f64 (neg.f64 x) x))))
(.f64 (pow.f64 (fma.f64 (.f64 (.f64 y y) z) (+.f64 z x) (pow.f64 (.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 (.f64 y z) #s(literal 3 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64))))
(.f64 #s(literal 1 binary64) (.f64 (-.f64 z x) y))
(.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 (.f64 y z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 y) (+.f64 z x))))
(.f64 (neg.f64 (-.f64 (pow.f64 (.f64 y z) #s(literal 3 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 (.f64 y y) z) (+.f64 z x) (pow.f64 (.f64 x y) #s(literal 2 binary64))))))
(*.f64 (-.f64 z x) y)
(.f64 (.f64 (.f64 y y) (fma.f64 z z (.f64 (neg.f64 x) x))) (pow.f64 (*.f64 (+.f64 z x) y) #s(literal -1 binary64)))
(.f64 (fma.f64 (.f64 (.f64 y y) z) (+.f64 z x) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (/.f64 (.f64 (-.f64 z x) y) (fma.f64 (.f64 (.f64 y y) z) (+.f64 z x) (pow.f64 (.f64 x y) #s(literal 2 binary64)))))
(.f64 (fma.f64 (.f64 (.f64 y y) z) (+.f64 z x) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (.f64 (.f64 (-.f64 z x) y) (pow.f64 (fma.f64 (.f64 (.f64 y y) z) (+.f64 z x) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64))))
(.f64 (-.f64 (pow.f64 (.f64 y z) #s(literal 3 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64))) (pow.f64 (fma.f64 (.f64 (.f64 y y) z) (+.f64 z x) (pow.f64 (.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 z x) y) (/.f64 (.f64 (+.f64 z x) y) (.f64 (+.f64 z x) y)))
(.f64 (.f64 (-.f64 z x) y) (.f64 (.f64 (+.f64 z x) y) (pow.f64 (*.f64 (+.f64 z x) y) #s(literal -1 binary64))))
(*.f64 y (-.f64 z x))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 z x) y)) #s(literal -1 binary64))
(/.f64 (/.f64 (.f64 (.f64 y y) (fma.f64 z z (*.f64 (neg.f64 x) x))) y) (+.f64 z x))
(/.f64 (.f64 (fma.f64 z z (.f64 (neg.f64 x) x)) y) (+.f64 z x))
(/.f64 (.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) y) (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) z) (.f64 z z)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 y z) #s(literal 4 binary64)) (pow.f64 (.f64 (neg.f64 x) y) #s(literal 4 binary64))) (pow.f64 (.f64 (+.f64 z x) y) #s(literal -1 binary64))) (.f64 (.f64 y y) (fma.f64 z z (*.f64 x x))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 y z) #s(literal 6 binary64)) (pow.f64 (.f64 (neg.f64 x) y) #s(literal 6 binary64))) (pow.f64 (.f64 (+.f64 z x) y) #s(literal -1 binary64))) (fma.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 (.f64 y y) (fma.f64 z z (.f64 x x))) (pow.f64 (*.f64 y z) #s(literal 4 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 y z) #s(literal 6 binary64)) (pow.f64 (.f64 (neg.f64 x) y) #s(literal 6 binary64))) (pow.f64 (fma.f64 (.f64 (.f64 y y) z) (+.f64 z x) (pow.f64 (.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64))) (+.f64 (pow.f64 (.f64 y z) #s(literal 3 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (neg.f64 x) y) #s(literal 9 binary64)) (pow.f64 (.f64 y z) #s(literal 9 binary64))) (pow.f64 (fma.f64 (.f64 (.f64 y y) z) (+.f64 z x) (pow.f64 (.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 (.f64 y z) #s(literal 6 binary64)) (pow.f64 (.f64 (neg.f64 x) y) #s(literal 6 binary64))) (pow.f64 (.f64 (.f64 (*.f64 (neg.f64 x) y) y) z) #s(literal 3 binary64))))
(/.f64 (.f64 y (fma.f64 z z (.f64 (neg.f64 x) x))) (+.f64 z x))
(/.f64 (.f64 y (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) z) (.f64 z z)))
(/.f64 (-.f64 (.f64 (/.f64 (/.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64)) y) (+.f64 z x)) (/.f64 (/.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64)) y) (+.f64 z x))) (.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 (+.f64 z x) y)) (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 (+.f64 z x) y)))) (+.f64 (/.f64 (/.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64)) y) (+.f64 z x)) (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (*.f64 (+.f64 z x) y))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64)) y) (+.f64 z x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 (+.f64 z x) y)) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64)) y) (+.f64 z x)) (/.f64 (/.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64)) y) (+.f64 z x)) (fma.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 (+.f64 z x) y)) (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 (+.f64 z x) y)) (.f64 (/.f64 (/.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64)) y) (+.f64 z x)) (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (*.f64 (+.f64 z x) y))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 (.f64 y z) #s(literal 2 binary64)))) (neg.f64 (*.f64 (neg.f64 y) (+.f64 z x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 y z) #s(literal 3 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 y y) z) (+.f64 z x) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))))
(/.f64 (.f64 (.f64 (.f64 y y) (fma.f64 z z (.f64 (neg.f64 x) x))) #s(literal 1 binary64)) (*.f64 (+.f64 z x) y))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 y z) #s(literal 3 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 y y) z) (+.f64 z x) (pow.f64 (.f64 x y) #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 y z) #s(literal 4 binary64)) (pow.f64 (.f64 (neg.f64 x) y) #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (.f64 (.f64 y y) (fma.f64 z z (.f64 x x))) (.f64 (+.f64 z x) y)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 y z) #s(literal 6 binary64)) (pow.f64 (.f64 (neg.f64 x) y) #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 (.f64 y y) (fma.f64 z z (.f64 x x))) (pow.f64 (.f64 y z) #s(literal 4 binary64))) (.f64 (+.f64 z x) y)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 y z) #s(literal 6 binary64)) (pow.f64 (.f64 (neg.f64 x) y) #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (.f64 y z) #s(literal 3 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 y y) z) (+.f64 z x) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (neg.f64 x) y) #s(literal 9 binary64)) (pow.f64 (.f64 y z) #s(literal 9 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (+.f64 (pow.f64 (.f64 y z) #s(literal 6 binary64)) (pow.f64 (.f64 (neg.f64 x) y) #s(literal 6 binary64))) (pow.f64 (.f64 (.f64 (.f64 (neg.f64 x) y) y) z) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 y y) z) (+.f64 z x) (pow.f64 (.f64 x y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64)) (.f64 (+.f64 z x) y)) (.f64 (.f64 (+.f64 z x) y) (pow.f64 (.f64 x y) #s(literal 2 binary64)))) (.f64 (.f64 (+.f64 z x) y) (*.f64 (+.f64 z x) y)))
(/.f64 (-.f64 (pow.f64 (.f64 y z) #s(literal 4 binary64)) (pow.f64 (.f64 (neg.f64 x) y) #s(literal 4 binary64))) (.f64 (.f64 (+.f64 z x) y) (.f64 (.f64 y y) (fma.f64 z z (*.f64 x x)))))
(/.f64 (-.f64 (pow.f64 (.f64 y z) #s(literal 6 binary64)) (pow.f64 (.f64 (neg.f64 x) y) #s(literal 6 binary64))) (.f64 (.f64 (+.f64 z x) y) (fma.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 (.f64 y y) (fma.f64 z z (.f64 x x))) (pow.f64 (*.f64 y z) #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 y z) #s(literal 6 binary64)) (pow.f64 (.f64 (neg.f64 x) y) #s(literal 6 binary64))) (.f64 (fma.f64 (.f64 (.f64 y y) z) (+.f64 z x) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (+.f64 (pow.f64 (.f64 y z) #s(literal 3 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 z x) y)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 z x) y)))
(/.f64 (+.f64 (pow.f64 (.f64 (neg.f64 x) y) #s(literal 9 binary64)) (pow.f64 (.f64 y z) #s(literal 9 binary64))) (.f64 (fma.f64 (.f64 (.f64 y y) z) (+.f64 z x) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (-.f64 (+.f64 (pow.f64 (.f64 y z) #s(literal 6 binary64)) (pow.f64 (.f64 (neg.f64 x) y) #s(literal 6 binary64))) (pow.f64 (.f64 (.f64 (*.f64 (neg.f64 x) y) y) z) #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 (.f64 y z) #s(literal 2 binary64))) (*.f64 (neg.f64 y) (+.f64 z x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 y z) #s(literal 3 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 (.f64 y y) z) (+.f64 z x) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (.f64 (.f64 y y) (fma.f64 z z (.f64 (neg.f64 x) x))) (.f64 (+.f64 z x) y))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 z x) y))))
(/.f64 (-.f64 (pow.f64 (.f64 y z) #s(literal 3 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 y y) z) (+.f64 z x) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 (.f64 y z) #s(literal 2 binary64))) (*.f64 (+.f64 z x) y)))
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 y z) #s(literal 3 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64)))) (fma.f64 (.f64 (.f64 y y) z) (+.f64 z x) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(neg.f64 (/.f64 (.f64 (.f64 y y) (fma.f64 z z (.f64 (neg.f64 x) x))) (.f64 (neg.f64 y) (+.f64 z x))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (.f64 y z) #s(literal 3 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64))) (neg.f64 (fma.f64 (.f64 (.f64 y y) z) (+.f64 z x) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))))
(fma.f64 (/.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 y z) #s(literal 3 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64)))) (fma.f64 (.f64 (.f64 (neg.f64 x) y) y) (-.f64 z x) (pow.f64 (.f64 y z) #s(literal 2 binary64))) (neg.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 (+.f64 z x) y))))
(fma.f64 (/.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64)) (.f64 (.f64 y y) (fma.f64 z z (.f64 (neg.f64 x) x)))) (.f64 (-.f64 z x) y) (neg.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (*.f64 (+.f64 z x) y))))
(fma.f64 (/.f64 (.f64 (.f64 z z) y) y) (/.f64 y (+.f64 z x)) (neg.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 (+.f64 z x) y))))
(fma.f64 (/.f64 (.f64 (.f64 y y) z) y) (/.f64 z (+.f64 z x)) (neg.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 (+.f64 z x) y))))
(fma.f64 (/.f64 (.f64 z z) y) (/.f64 (.f64 y y) (+.f64 z x)) (neg.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 (+.f64 z x) y))))
(fma.f64 (/.f64 (.f64 y z) y) (/.f64 (.f64 y z) (+.f64 z x)) (neg.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 (+.f64 z x) y))))
(fma.f64 (/.f64 z y) (/.f64 (.f64 (.f64 y y) z) (+.f64 z x)) (neg.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 (+.f64 z x) y))))
(fma.f64 (/.f64 (.f64 y y) y) (/.f64 (.f64 z z) (+.f64 z x)) (neg.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 (+.f64 z x) y))))
(fma.f64 (/.f64 y y) (/.f64 (.f64 (.f64 z z) y) (+.f64 z x)) (neg.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 (+.f64 z x) y))))
(fma.f64 (.f64 (.f64 z z) y) (/.f64 y (.f64 (+.f64 z x) y)) (neg.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (*.f64 (+.f64 z x) y))))
(fma.f64 (.f64 (.f64 y y) z) (/.f64 z (.f64 (+.f64 z x) y)) (neg.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (*.f64 (+.f64 z x) y))))
(fma.f64 (neg.f64 y) x (*.f64 y z))
(fma.f64 (.f64 y y) (/.f64 (.f64 z z) (.f64 (+.f64 z x) y)) (neg.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (*.f64 (+.f64 z x) y))))
(fma.f64 (.f64 z z) (/.f64 (.f64 y y) (.f64 (+.f64 z x) y)) (neg.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (*.f64 (+.f64 z x) y))))
(fma.f64 (.f64 x y) #s(literal -1 binary64) (.f64 y z))
(fma.f64 #s(literal -1 binary64) (.f64 x y) (.f64 y z))
(fma.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64)) (pow.f64 (.f64 (+.f64 z x) y) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 (+.f64 z x) y))))
(fma.f64 (.f64 y z) (/.f64 (.f64 y z) (.f64 (+.f64 z x) y)) (neg.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (*.f64 (+.f64 z x) y))))
(fma.f64 (neg.f64 x) y (*.f64 y z))
(fma.f64 x (neg.f64 y) (*.f64 y z))
(fma.f64 y (/.f64 (.f64 (.f64 z z) y) (.f64 (+.f64 z x) y)) (neg.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (*.f64 (+.f64 z x) y))))
(fma.f64 y (neg.f64 x) (*.f64 y z))
(fma.f64 y z (*.f64 (neg.f64 x) y))
(fma.f64 z (/.f64 (.f64 (.f64 y y) z) (.f64 (+.f64 z x) y)) (neg.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (*.f64 (+.f64 z x) y))))
(fma.f64 z y (*.f64 (neg.f64 x) y))
(-.f64 (fma.f64 y z #s(literal 0 binary64)) (*.f64 x y))
(-.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 (neg.f64 y) (+.f64 z x))) (/.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64)) (.f64 (neg.f64 y) (+.f64 z x))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64)) y) (+.f64 z x)) (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (*.f64 (+.f64 z x) y)))
(-.f64 #s(literal 0 binary64) (-.f64 (.f64 x y) (.f64 y z)))
(-.f64 (.f64 y z) (.f64 x y))
(+.f64 (/.f64 (/.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64)) y) (+.f64 z x)) (neg.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (*.f64 (+.f64 z x) y))))
(+.f64 (.f64 y z) (.f64 (neg.f64 x) y))
(+.f64 (.f64 (neg.f64 x) y) (.f64 y z))
#s(approx (+ (* z y) (+ (* (neg x) y) x)) (*.f64 (-.f64 z x) y))
(*.f64 (neg.f64 y) x)
(.f64 (.f64 x y) #s(literal -1 binary64))
(.f64 #s(literal -1 binary64) (.f64 x y))
(*.f64 (neg.f64 x) y)
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(/.f64 (.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) y) (.f64 x x))
(/.f64 (.f64 y (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (.f64 x x))
(/.f64 (neg.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (.f64 x y)))
(/.f64 (.f64 (.f64 (neg.f64 x) y) x) x)
(/.f64 (pow.f64 (.f64 (neg.f64 x) y) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (.f64 x y)))))
(neg.f64 (*.f64 x y))
(fma.f64 #s(literal 0 binary64) y (*.f64 (neg.f64 x) y))
(fma.f64 y #s(literal 0 binary64) (*.f64 (neg.f64 x) y))
(-.f64 #s(literal 0 binary64) (*.f64 x y))
(+.f64 (.f64 #s(literal 0 binary64) y) (.f64 (neg.f64 x) y))
(+.f64 (.f64 y #s(literal 0 binary64)) (.f64 (neg.f64 x) y))
(+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) y))
(.f64 (.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) x))
(.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x #s(literal -1 binary64))
(/.f64 (neg.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (*.f64 (neg.f64 x) x))
(/.f64 (*.f64 (neg.f64 x) x) x)
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (neg.f64 x) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (pow.f64 (neg.f64 x) #s(literal 3 binary64))))
(/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 x x) (.f64 #s(literal 0 binary64) (neg.f64 x)))))
(/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (*.f64 x x))
(/.f64 (*.f64 x x) (neg.f64 x))
(neg.f64 x)
(fma.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) x #s(literal 0 binary64))
(fma.f64 x #s(literal -1 binary64) #s(literal 0 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) x) x)
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 x x)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 x x)))
(-.f64 #s(literal 0 binary64) x)
(+.f64 #s(literal 0 binary64) (neg.f64 x))
(+.f64 (neg.f64 x) #s(literal 0 binary64))

eval2.6s (1.5%)

Memory: -12.0MiB live, 733.3MiB allocated
Compiler: Compiled 4 155 to 512 computations (87.7% saved)

prune5.0ms (0%)

Memory

12.2MiB live, 12.2MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	133	0	133
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	133	7	140

Accuracy

100.0%

Counts

140 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (-.f64 z x) y x)
✓	63.2%	#s(approx (+ (* z y) (+ (* (neg x) y) x)) (fma.f64 z y (*.f64 (neg.f64 x) y)))
✓	64.0%	#s(approx (+ (* z y) (+ (* (neg x) y) x)) (*.f64 (-.f64 z x) y))
✓	57.5%	#s(approx (+ x (* y (- z x))) (fma.f64 (neg.f64 y) x x))
✓	22.3%	#s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x))
✓	37.8%	#s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))
✓	46.0%	#s(approx (+ x (* y (- z x))) (*.f64 z y))

Compiler

Compiled 218 to 109 computations (50% saved)

regimes5.7s (3.2%)

Memory

-5.9MiB live, 1 807.2MiB allocated

Counts

10 → 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))) (fma.f64 (neg.f64 y) x x))
#s(approx (+ (* z y) (+ (* (neg x) y) x)) (*.f64 (-.f64 z x) y))
(fma.f64 (-.f64 z x) y x)
(+.f64 x (*.f64 y (-.f64 z x)))
#s(approx (+ (* z y) (+ (* (neg x) y) x)) (fma.f64 z y (*.f64 (neg.f64 x) y)))
(fma.f64 z y (fma.f64 (neg.f64 x) y x))

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

Calls

4 calls:

5.7s	z
4.0ms	y
4.0ms	x
4.0ms	(+.f64 x (*.f64 y (-.f64 z x)))

Results

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

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes4.3s (2.5%)

Memory

-19.7MiB live, 1 283.5MiB allocated

Counts

6 → 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))) (fma.f64 (neg.f64 y) x x))
#s(approx (+ (* z y) (+ (* (neg x) y) x)) (*.f64 (-.f64 z x) y))

Outputs

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

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
81.2%	3	`x`
82.7%	3	`y`
82.5%	3	`z`
74.6%	5	`(+.f64 x (*.f64 y (-.f64 z x)))`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes8.0ms (0%)

Memory

15.9MiB live, 15.9MiB 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))) (fma.f64 (neg.f64 y) x x))

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

Calls

3 calls:

3.0ms	y
3.0ms	z
2.0ms	x

Results

Accuracy	Segments	Branch
77.0%	3	`x`
80.9%	3	`z`
66.6%	4	`y`

Compiler

Compiled 3 to 9 computations (-200% saved)

regimes3.0ms (0%)

Memory

5.1MiB live, 5.1MiB 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 z y))
#s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x))
#s(approx (+ x (* y (- z x))) (*.f64 z y))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
80.9%	3	`z`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes8.0ms (0%)

Memory

12.3MiB live, 12.3MiB 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 #s(approx (- 1 y) (neg.f64 y)) x))
#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

4 calls:

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

Results

Accuracy	Segments	Branch
66.6%	4	`y`
56.4%	5	`(+.f64 x (*.f64 y (-.f64 z x)))`
61.1%	3	`x`
64.6%	3	`z`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes2.0ms (0%)

Memory

2.6MiB live, 2.6MiB 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:

2.0ms

Results

Accuracy	Segments	Branch
64.8%	3	`y`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes5.7s (3.2%)

Memory

-23.2MiB live, 1 771.1MiB allocated

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:

5.7s	z
1.0ms	x
1.0ms	(+.f64 x (*.f64 y (-.f64 z x)))
1.0ms	y

Results

Accuracy	Segments	Branch
46.0%	1	`(+.f64 x (*.f64 y (-.f64 z x)))`
46.0%	1	`x`
46.0%	1	`z`
46.0%	1	`y`

Compiler

Compiled 10 to 15 computations (-50% saved)

bsearch24.0ms (0%)

Memory

29.7MiB live, 29.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	3.0564748870554063e-30	5.027770747458467e-25
11.0ms	-2.9676855586425787e-86	-8.687822816793921e-95

Samples

11.0ms

288×

valid

Compiler

Compiled 532 to 426 computations (19.9% saved)

Precisions

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

ival-sub: 2.0ms (38.7% of total)

ival-mult: 2.0ms (38.7% of total)

ival-add: 1.0ms (19.3% of total)

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

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

bsearch5.8s (3.3%)

Memory

-26.5MiB live, 1 782.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
5.8s	1.7668206673963295e+87	2.921403460581645e+97
4.0ms	-2201295532056465200.0	-1896272492072107300.0

Samples

5.8s

208×

valid

Compiler

Compiled 322 to 259 computations (19.6% saved)

Precisions

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

ival-sub: 2.0ms (42.1% of total)

ival-mult: 2.0ms (42.1% of total)

ival-add: 1.0ms (21.1% of total)

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

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

bsearch2.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.7668206673963295e+87	2.921403460581645e+97
1.0ms	-2201295532056465200.0	-1896272492072107300.0

Compiler

Compiled 322 to 272 computations (15.5% saved)

bsearch29.0ms (0%)

Memory

17.2MiB live, 17.2MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
1.0ms	3.0564748870554063e-30	5.027770747458467e-25
12.0ms	-3.7435425915508745e-74	-1.0580437529229615e-83
13.0ms	-1.9408882917852085e+260	-3.460530509381184e+258

Samples

14.0ms

256×

valid

Compiler

Compiled 667 to 562 computations (15.7% saved)

Precisions

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

ival-sub: 2.0ms (32% of total)

ival-add: 2.0ms (32% of total)

ival-mult: 2.0ms (32% of total)

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

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

bsearch2.0ms (0%)

Memory

2.7MiB live, 2.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.0564748870554063e-30	5.027770747458467e-25
1.0ms	-3.7435425915508745e-74	-1.0580437529229615e-83

Compiler

Compiled 478 to 408 computations (14.6% saved)

simplify5.3s (3.1%)

Memory

0.7MiB live, 1 605.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	266
1	66	266
2	72	266
3	75	266
4	76	266

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (-.f64 z x) y x)
(if (<=.f64 y #s(literal -2788894317043927/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936 binary64)) #s(approx (+ (* z y) (+ (* (neg x) y) x)) (.f64 (-.f64 z x) y)) (if (<=.f64 y #s(literal 6636701771082713/356811923176489970264571492362373784095686656 binary64)) #s(approx (+ x ( y (- z x))) (.f64 (-.f64 #s(literal 1 binary64) y) x)) #s(approx (+ ( z y) (+ (* (neg x) y) x)) (*.f64 (-.f64 z x) y))))
(if (<=.f64 z #s(literal -2100000000000000000 binary64)) #s(approx (+ x (* y (- z x))) (.f64 z y)) (if (<=.f64 z #s(literal 22000000000000000874015002818092309676121414715184447500218155091366444426527198653972480 binary64)) #s(approx (+ x ( y (- z x))) (fma.f64 (neg.f64 y) x x)) #s(approx (+ x (* y (- z x))) (*.f64 z y))))
(if (<=.f64 z #s(literal -2100000000000000000 binary64)) #s(approx (+ x (* y (- z x))) (.f64 z y)) (if (<=.f64 z #s(literal 22000000000000000874015002818092309676121414715184447500218155091366444426527198653972480 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 -144999999999999989672206875453179842847127201517678608773608314701713163826406486631123219508965050084158786516584396711187682501892662772240913582110277302680203896808141678510048452071265198770626588839269789982539154046347299471141817806132437075793905975296 binary64)) #s(approx (+ x (* y (- z x))) (.f64 #s(approx (- 1 y) (neg.f64 y)) x)) (if (<=.f64 y #s(literal -4888886343202767/65185151242703554760590262029100101153646988597309960020356494379340201592426774597868716032 binary64)) #s(approx (+ x ( y (- z x))) (.f64 z y)) (if (<=.f64 y #s(literal 6636701771082713/356811923176489970264571492362373784095686656 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 -4888886343202767/65185151242703554760590262029100101153646988597309960020356494379340201592426774597868716032 binary64)) #s(approx (+ x (* y (- z x))) (.f64 z y)) (if (<=.f64 y #s(literal 6636701771082713/356811923176489970264571492362373784095686656 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 -2788894317043927/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936 binary64)) #s(approx (+ (* z y) (+ (* (neg x) y) x)) (.f64 (-.f64 z x) y)) (if (<=.f64 y #s(literal 6636701771082713/356811923176489970264571492362373784095686656 binary64)) #s(approx (+ x ( y (- z x))) (.f64 (-.f64 #s(literal 1 binary64) y) x)) #s(approx (+ ( z y) (+ (* (neg x) y) x)) (*.f64 (-.f64 z x) y))))
(if (<=.f64 y #s(literal -2788894317043927/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936 binary64)) #s(approx (+ (* z y) (+ (* (neg x) y) x)) (.f64 y (-.f64 z x))) (if (<=.f64 y #s(literal 6636701771082713/356811923176489970264571492362373784095686656 binary64)) #s(approx (+ x ( y (- z x))) (.f64 (-.f64 #s(literal 1 binary64) y) x)) #s(approx (+ ( z y) (+ (* (neg x) y) x)) (*.f64 y (-.f64 z x)))))
(if (<=.f64 z #s(literal -2100000000000000000 binary64)) #s(approx (+ x (* y (- z x))) (.f64 z y)) (if (<=.f64 z #s(literal 22000000000000000874015002818092309676121414715184447500218155091366444426527198653972480 binary64)) #s(approx (+ x ( y (- z x))) (fma.f64 (neg.f64 y) x x)) #s(approx (+ x (* y (- z x))) (*.f64 z y))))
(if (<=.f64 z #s(literal -2100000000000000000 binary64)) #s(approx (+ x (* y (- z x))) (.f64 y z)) (if (<=.f64 z #s(literal 22000000000000000874015002818092309676121414715184447500218155091366444426527198653972480 binary64)) #s(approx (+ x ( y (- z x))) (fma.f64 (neg.f64 y) x x)) #s(approx (+ x (* y (- z x))) (*.f64 y z))))
(if (<=.f64 z #s(literal -2100000000000000000 binary64)) #s(approx (+ x (* y (- z x))) (.f64 z y)) (if (<=.f64 z #s(literal 22000000000000000874015002818092309676121414715184447500218155091366444426527198653972480 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 z #s(literal -2100000000000000000 binary64)) #s(approx (+ x (* y (- z x))) (.f64 y z)) (if (<=.f64 z #s(literal 22000000000000000874015002818092309676121414715184447500218155091366444426527198653972480 binary64)) #s(approx (+ x ( y (- z x))) (.f64 (-.f64 #s(literal 1 binary64) y) x)) #s(approx (+ x ( y (- z x))) (*.f64 y z))))
(if (<=.f64 y #s(literal -144999999999999989672206875453179842847127201517678608773608314701713163826406486631123219508965050084158786516584396711187682501892662772240913582110277302680203896808141678510048452071265198770626588839269789982539154046347299471141817806132437075793905975296 binary64)) #s(approx (+ x (* y (- z x))) (.f64 #s(approx (- 1 y) (neg.f64 y)) x)) (if (<=.f64 y #s(literal -4888886343202767/65185151242703554760590262029100101153646988597309960020356494379340201592426774597868716032 binary64)) #s(approx (+ x ( y (- z x))) (.f64 z y)) (if (<=.f64 y #s(literal 6636701771082713/356811923176489970264571492362373784095686656 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 -144999999999999989672206875453179842847127201517678608773608314701713163826406486631123219508965050084158786516584396711187682501892662772240913582110277302680203896808141678510048452071265198770626588839269789982539154046347299471141817806132437075793905975296 binary64)) #s(approx (+ x (* y (- z x))) (.f64 #s(approx (- 1 y) (neg.f64 y)) x)) (if (<=.f64 y #s(literal -4888886343202767/65185151242703554760590262029100101153646988597309960020356494379340201592426774597868716032 binary64)) #s(approx (+ x ( y (- z x))) (.f64 y z)) (if (<=.f64 y #s(literal 6636701771082713/356811923176489970264571492362373784095686656 binary64)) #s(approx (+ x ( y (- z x))) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) #s(approx (+ x ( y (- z x))) (*.f64 y z)))))
(if (<=.f64 y #s(literal -4888886343202767/65185151242703554760590262029100101153646988597309960020356494379340201592426774597868716032 binary64)) #s(approx (+ x (* y (- z x))) (.f64 z y)) (if (<=.f64 y #s(literal 6636701771082713/356811923176489970264571492362373784095686656 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 -4888886343202767/65185151242703554760590262029100101153646988597309960020356494379340201592426774597868716032 binary64)) #s(approx (+ x (* y (- z x))) (.f64 y z)) (if (<=.f64 y #s(literal 6636701771082713/356811923176489970264571492362373784095686656 binary64)) #s(approx (+ x ( y (- z x))) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) #s(approx (+ x ( y (- z x))) (*.f64 y z))))
#s(approx (+ x (* y (- z x))) (*.f64 z y))
#s(approx (+ x (* y (- z x))) (*.f64 y z))

soundness1.0min (35.6%)

Memory

-21.4MiB live, 20 631.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	36	15
2	286	15
3	3817	15
0	10869	14
0	17	59
0	27	59
1	118	55
2	881	55
0	8372	55
0	73	185
1	242	137
2	727	137
3	2041	137
4	4197	137
5	5998	137
6	7385	137
0	8198	128
0	90	170
1	292	170
2	803	170
3	2118	170
4	4779	170
5	7119	170
0	8243	158

Stop Event

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

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	6	18
0	9	18
1	13	18
2	24	18
3	48	18
4	84	18
5	130	18
6	220	18
7	370	18
8	585	18
9	670	18
10	692	18
0	692	17

Iter	Nodes	Cost
0	17	70
0	27	70
1	46	66
2	74	66
3	118	66
4	198	66
5	322	66
6	486	66
7	610	66
8	629	66
0	629	66

Iter	Nodes	Cost
0	25	112
0	32	112
1	59	109
2	88	109
3	136	109
4	195	109
5	374	109
6	532	109
7	667	109
8	771	109
9	823	109
10	831	109
11	835	109
12	841	109
13	845	109
0	845	105

Iter	Nodes	Cost
0	12	34
0	15	30
1	29	27
2	53	27
3	95	27
4	144	27
5	261	27
6	401	27
7	564	27
8	635	27
9	645	27
0	645	26

Iter	Nodes	Cost
0	6	18
0	9	18
1	13	18
2	24	18
3	48	18
4	84	18
5	130	18
6	220	18
7	370	18
8	585	18
9	670	18
10	692	18
0	692	17

Iter	Nodes	Cost
0	17	70
0	27	70
1	46	66
2	74	66
3	118	66
4	198	66
5	322	66
6	486	66
7	610	66
8	629	66
0	629	66

Iter	Nodes	Cost
0	25	112
0	32	112
1	59	109
2	88	109
3	136	109
4	195	109
5	374	109
6	532	109
7	667	109
8	771	109
9	823	109
10	831	109
11	835	109
12	841	109
13	845	109
0	845	105

Iter	Nodes	Cost
0	12	34
0	15	30
1	29	27
2	53	27
3	95	27
4	144	27
5	261	27
6	401	27
7	564	27
8	635	27
9	645	27
0	645	26

start0.0ms (0%)

analyze0.0ms (0%)

sample1.8s (1.1%)

explain86.0ms (0%)

preprocess89.0ms (0.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify18.0ms (0%)

localize21.0ms (0%)

series5.0ms (0%)

simplify137.0ms (0.1%)

rewrite189.0ms (0.1%)

eval31.0ms (0%)

prune4.0ms (0%)

simplify31.0ms (0%)

localize75.0ms (0%)

series10.0ms (0%)

simplify101.0ms (0.1%)

rewrite171.0ms (0.1%)

eval62.0ms (0%)

prune9.0ms (0%)

simplify39.0ms (0%)

localize71.0ms (0%)

series7.0ms (0%)

simplify5.3s (3.1%)

rewrite32.0s (18.3%)

eval1.2s (0.7%)

prune5.0ms (0%)

simplify5.0s (2.9%)

localize7.8s (4.5%)

series9.4s (5.4%)

simplify13.1s (7.5%)

rewrite6.1s (3.5%)

eval2.6s (1.5%)

prune5.0ms (0%)

regimes5.7s (3.2%)

regimes4.3s (2.5%)

regimes8.0ms (0%)

regimes3.0ms (0%)

regimes8.0ms (0%)

regimes2.0ms (0%)

regimes5.7s (3.2%)

bsearch24.0ms (0%)

bsearch5.8s (3.3%)

bsearch2.0ms (0%)

bsearch29.0ms (0%)

bsearch2.0ms (0%)

simplify5.3s (3.1%)

soundness1.0min (35.6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	6	18
0	9	18
1	13	18
2	24	18
3	48	18
4	84	18
5	130	18
6	220	18
7	370	18
8	585	18
9	670	18
10	692	18
0	692	17

Iter	Nodes	Cost
0	17	70
0	27	70
1	46	66
2	74	66
3	118	66
4	198	66
5	322	66
6	486	66
7	610	66
8	629	66
0	629	66

Iter	Nodes	Cost
0	25	112
0	32	112
1	59	109
2	88	109
3	136	109
4	195	109
5	374	109
6	532	109
7	667	109
8	771	109
9	823	109
10	831	109
11	835	109
12	841	109
13	845	109
0	845	105

Iter	Nodes	Cost
0	12	34
0	15	30
1	29	27
2	53	27
3	95	27
4	144	27
5	261	27
6	401	27
7	564	27
8	635	27
9	645	27
0	645	26