Metrics for SynthBasics:oscSampleBasedAux from YampaSynth-0.2

start0.0ms (0%)

Memory: 0.1MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB 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)

sample557.0ms (10.5%)

Memory

9.7MiB live, 660.1MiB allocated

Samples

331.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 142.0ms

ival-mult: 54.0ms (38% of total)

ival-sub: 44.0ms (30.9% of total)

ival-add: 35.0ms (24.6% of total)

ival-true: 6.0ms (4.2% of total)

ival-assert: 4.0ms (2.8% of total)

Bogosity

explain116.0ms (2.2%)

Memory

3.8MiB live, 172.3MiB 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

24.0ms

512×

valid

Compiler

Compiled 83 to 34 computations (59% saved)

Precisions

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

ival-sub: 3.0ms (32.4% of total)

ival-mult: 3.0ms (32.4% of total)

ival-add: 2.0ms (21.6% of total)

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

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

preprocess72.0ms (1.4%)

Memory

-4.5MiB live, 37.8MiB 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

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify968.0ms (18.3%)

Memory

-19.3MiB live, 20.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	9	18
1	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

localize15.0ms (0.3%)

Memory

29.7MiB live, 29.7MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 z x)
accuracy	0.0078125	(+.f64 x (*.f64 y (-.f64 z x)))
accuracy	0.015625	(*.f64 y (-.f64 z x))

Samples

11.0ms

256×

valid

Compiler

Compiled 38 to 14 computations (63.2% saved)

Precisions

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

ival-mult: 2.0ms (45.6% of total)

ival-sub: 1.0ms (22.8% of total)

ival-add: 1.0ms (22.8% of total)

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

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

series7.0ms (0.1%)

Memory

-28.7MiB live, 9.9MiB 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
2.0ms	y	@	-inf	((+ x (* y (- z x))) (* y (- z x)) (- z x))
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	z	@	inf	((+ x (* y (- z x))) (* y (- z x)) (- z x))

simplify307.0ms (5.8%)

Memory

8.9MiB live, 97.1MiB 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)

rewrite211.0ms (4%)

Memory

10.3MiB live, 205.1MiB 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))

eval29.0ms (0.6%)

Memory: 13.6MiB live, 50.6MiB allocated
Compiler: Compiled 6 918 to 970 computations (86% saved)

prune5.0ms (0.1%)

Memory

-24.6MiB live, 13.5MiB 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)
▶	98.8%	(fma.f64 z y (fma.f64 (neg.f64 x) y x))
▶	65.5%	#s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x))
▶	38.6%	#s(approx (+ x (* y (- z x))) (*.f64 z y))

Compiler

Compiled 38 to 29 computations (23.7% saved)

simplify18.0ms (0.3%)

Memory

21.8MiB live, 21.8MiB 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

localize72.0ms (1.4%)

Memory

-5.6MiB live, 37.3MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 z x)
accuracy	0.00390625	(fma.f64 (-.f64 z x) y x)
accuracy	0	(fma.f64 (neg.f64 x) y x)
accuracy	0	(neg.f64 x)
accuracy	0.7538979928166806	(fma.f64 z y (fma.f64 (neg.f64 x) y x))
accuracy	0	(-.f64 #s(literal 1 binary64) y)
accuracy	0.01171875	(*.f64 (-.f64 #s(literal 1 binary64) y) x)
accuracy	22.059661467853072	#s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x))
accuracy	0	(*.f64 z y)
accuracy	39.290761658412634	#s(approx (+ x (* y (- z x))) (*.f64 z y))

Samples

62.0ms

256×

valid

Compiler

Compiled 136 to 35 computations (74.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-add: 38.0ms (76.7% of total)

ival-mult: 7.0ms (14.1% of total)

ival-sub: 3.0ms (6.1% of total)

ival-neg: 1.0ms (2% of total)

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

exact: 0.0ms (0% of total)

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

series12.0ms (0.2%)

Memory

-21.3MiB live, 16.2MiB 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
3.0ms	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))
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	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))

simplify127.0ms (2.4%)

Memory

28.3MiB live, 102.0MiB 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)

rewrite214.0ms (4%)

Memory

-12.7MiB live, 202.0MiB 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))

eval41.0ms (0.8%)

Memory: -21.6MiB live, 52.7MiB allocated
Compiler: Compiled 8 421 to 1 111 computations (86.8% saved)

prune6.0ms (0.1%)

Memory

20.1MiB live, 20.1MiB 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)
✓	98.8%	(fma.f64 z y (fma.f64 (neg.f64 x) y x))
▶	65.9%	#s(approx (+ (* z y) (+ (* (neg x) y) x)) (*.f64 (-.f64 z x) y))
▶	65.5%	#s(approx (+ x (* y (- z x))) (fma.f64 (neg.f64 y) x x))
▶	32.1%	#s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x))
▶	35.7%	#s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))
✓	38.6%	#s(approx (+ x (* y (- z x))) (*.f64 z y))

Compiler

Compiled 85 to 63 computations (25.9% saved)

simplify36.0ms (0.7%)

Memory

-8.6MiB live, 28.8MiB 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

localize45.0ms (0.8%)

Memory

9.1MiB live, 55.6MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 z x)
accuracy	0.015625	(*.f64 (-.f64 z x) y)
accuracy	21.79500213404783	#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	22.059661467853072	#s(approx (+ x (* y (- z x))) (fma.f64 (neg.f64 y) x x))
accuracy	0	(neg.f64 y)
accuracy	0.01171875	(*.f64 #s(approx (- 1 y) (neg.f64 y)) x)
accuracy	22.059661467853072	#s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x))
accuracy	28.51092730582194	#s(approx (- 1 y) (neg.f64 y))
accuracy	0.01171875	(*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)
accuracy	22.059661467853072	#s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))
accuracy	34.53048557300125	#s(approx (- 1 y) #s(literal 1 binary64))

Samples

32.0ms

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: 9.0ms (44.6% of total)

ival-add: 6.0ms (29.7% of total)

ival-sub: 3.0ms (14.9% of total)

ival-neg: 2.0ms (9.9% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Memory

11.1MiB live, 11.1MiB 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	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	@	-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))

simplify107.0ms (2%)

Memory

5.3MiB live, 80.6MiB 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)

rewrite160.0ms (3%)

Memory

-9.8MiB live, 145.1MiB 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))

eval25.0ms (0.5%)

Memory: 5.7MiB live, 42.0MiB allocated
Compiler: Compiled 5 319 to 758 computations (85.7% saved)

prune6.0ms (0.1%)

Memory

15.0MiB live, 15.0MiB 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)
▶	64.8%	#s(approx (+ (* z y) (+ (* (neg x) y) x)) (fma.f64 (neg.f64 y) x (*.f64 z y)))
✓	65.9%	#s(approx (+ (* z y) (+ (* (neg x) y) x)) (*.f64 (-.f64 z x) y))
✓	65.5%	#s(approx (+ x (* y (- z x))) (fma.f64 (neg.f64 y) x x))
✓	32.1%	#s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x))
✓	35.7%	#s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))
✓	38.6%	#s(approx (+ x (* y (- z x))) (*.f64 z y))

Compiler

Compiled 95 to 69 computations (27.4% saved)

simplify35.0ms (0.7%)

Memory

-8.0MiB live, 36.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	33
0	16	33
1	34	29
2	57	26
3	99	26
4	153	26
5	262	26
6	425	26
7	585	26
8	619	26
9	621	26
0	621	25

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize28.0ms (0.5%)

Memory

-8.9MiB live, 27.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 z y)
accuracy	0	(neg.f64 y)
accuracy	0.7578042428166806	(fma.f64 (neg.f64 y) x (*.f64 z y))
accuracy	21.79500213404783	#s(approx (+ (* z y) (+ (* (neg x) y) x)) (fma.f64 (neg.f64 y) x (*.f64 z y)))

Samples

20.0ms

256×

valid

Compiler

Compiled 61 to 25 computations (59% saved)

Precisions

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

ival-add: 5.0ms (39.9% of total)

ival-mult: 5.0ms (39.9% of total)

ival-neg: 2.0ms (15.9% of total)

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

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

series4.0ms (0.1%)

Memory

5.8MiB live, 5.8MiB allocated

Counts

4 → 23

Calls

Call 1

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

Outputs
(* y z)
(+ (* -1 (* x y)) (* y z))
(+ (* x (+ 1 (* -1 y))) (* y z))
(* -1 (* x y))
(* 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))))
(* -1 y)
(* 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
1.0ms	y	@	inf	((+ (* (neg y) x) (* z y)) (+ (* z y) (+ (* (neg x) y) x)) (neg y) (* z y))
1.0ms	y	@	-inf	((+ (* (neg y) x) (* z y)) (+ (* z y) (+ (* (neg x) y) x)) (neg y) (* z y))
1.0ms	y	@	0	((+ (* (neg y) x) (* z y)) (+ (* z y) (+ (* (neg x) y) x)) (neg y) (* z y))
0.0ms	z	@	-inf	((+ (* (neg y) x) (* z y)) (+ (* z y) (+ (* (neg x) y) x)) (neg y) (* z y))
0.0ms	x	@	inf	((+ (* (neg y) x) (* z y)) (+ (* z y) (+ (* (neg x) y) x)) (neg y) (* z y))

simplify99.0ms (1.9%)

Memory

20.4MiB live, 93.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	160
1	219	123
2	615	123
3	1708	123
4	4357	123
5	6694	123
0	8264	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))
(* 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))))
(* -1 y)
(* 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 z y)
(+ (* -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)
(* 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)
(* -1 y)
(neg.f64 y)
(* 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)

rewrite187.0ms (3.5%)

Memory

-30.8MiB live, 241.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	30
0	16	30
1	69	26
2	608	23
0	8235	22

Stop Event

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

Counts

4 → 108

Calls

Call 1

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

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

eval12.0ms (0.2%)

Memory: 32.4MiB live, 32.4MiB allocated
Compiler: Compiled 3 829 to 418 computations (89.1% saved)

prune12.0ms (0.2%)

Memory

-21.4MiB live, 16.3MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	114	0	114
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	114	7	121

Accuracy

100.0%

Counts

121 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (-.f64 z x) y x)
✓	64.8%	#s(approx (+ (* z y) (+ (* (neg x) y) x)) (fma.f64 (neg.f64 y) x (*.f64 z y)))
✓	65.9%	#s(approx (+ (* z y) (+ (* (neg x) y) x)) (*.f64 (-.f64 z x) y))
✓	65.5%	#s(approx (+ x (* y (- z x))) (fma.f64 (neg.f64 y) x x))
✓	32.1%	#s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x))
✓	35.7%	#s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))
✓	38.6%	#s(approx (+ x (* y (- z x))) (*.f64 z y))

Compiler

Compiled 218 to 108 computations (50.5% saved)

regimes25.0ms (0.5%)

Memory

-7.3MiB live, 40.0MiB 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 (neg.f64 y) x (*.f64 z y)))
(fma.f64 z y (fma.f64 (neg.f64 x) y x))

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

Calls

4 calls:

13.0ms	x
4.0ms	z
4.0ms	y
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)

regimes11.0ms (0.2%)

Memory

28.6MiB live, 28.6MiB 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))) (fma.f64 (neg.f64 y) x x))
#s(approx (+ (* z y) (+ (* (neg x) y) x)) (*.f64 (-.f64 z x) y))

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
89.0%	3	`x`
89.2%	3	`y`
79.1%	3	`z`
79.4%	5	`(+.f64 x (*.f64 y (-.f64 z x)))`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes7.0ms (0.1%)

Memory

-24.9MiB live, 13.9MiB 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 (-.f64 #s(literal 1 binary64) y) x))
#s(approx (+ x (* y (- z x))) (*.f64 z y))
#s(approx (+ x (* y (- z x))) (fma.f64 (neg.f64 y) x x))

Calls

2 calls:

5.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
84.2%	3	`x`
68.7%	3	`y`

Compiler

Compiled 2 to 6 computations (-200% saved)

regimes2.0ms (0%)

Memory

6.5MiB live, 6.5MiB allocated

Counts

4 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
84.2%	3	`x`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes9.0ms (0.2%)

Memory

-17.0MiB live, 22.1MiB 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 #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 #s(approx (- 1 y) (neg.f64 y)) x))

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
67.9%	4	`y`
54.3%	5	`(+.f64 x (*.f64 y (-.f64 z x)))`
57.9%	4	`z`
60.7%	4	`x`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes2.0ms (0%)

Memory

5.1MiB live, 5.1MiB 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
61.8%	3	`y`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes5.0ms (0.1%)

Memory

16.2MiB live, 16.2MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
38.6%	1	`(+.f64 x (*.f64 y (-.f64 z x)))`
38.6%	1	`z`
38.6%	1	`x`
38.6%	1	`y`

Compiler

Compiled 10 to 15 computations (-50% saved)

bsearch23.0ms (0.4%)

Memory

12.1MiB live, 50.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	2.485392763320406e-5	321.72361334231385
11.0ms	-10413928.060061017	-31295.17586794127

Samples

11.0ms

272×

valid

Compiler

Compiled 503 to 386 computations (23.3% saved)

Precisions

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

ival-mult: 2.0ms (43.4% of total)

ival-sub: 1.0ms (21.7% of total)

ival-add: 1.0ms (21.7% of total)

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

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

bsearch31.0ms (0.6%)

Memory

-0.5MiB live, 78.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	1.7321896181309536e-80	1.5035656436744778e-75
16.0ms	-3.826610402940076e-50	-6.770277778533557e-60

Samples

16.0ms

304×

valid

Compiler

Compiled 466 to 383 computations (17.8% saved)

Precisions

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

ival-mult: 6.0ms (66.6% of total)

ival-sub: 2.0ms (22.2% of total)

ival-add: 1.0ms (11.1% of total)

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

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

bsearch3.0ms (0.1%)

Memory

-30.0MiB live, 9.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.7321896181309536e-80	1.5035656436744778e-75
1.0ms	-3.826610402940076e-50	-6.770277778533557e-60

Compiler

Compiled 466 to 392 computations (15.9% saved)

bsearch32.0ms (0.6%)

Memory

33.2MiB live, 72.7MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
7.0ms	1.0342223133010534e+254	1.2706831210040977e+255
10.0ms	1.0488565475691617e-57	6.853393101826994e-53
12.0ms	-31295.17586794127	-1.4524613088007364e-6

Samples

16.0ms

384×

valid

Compiler

Compiled 690 to 580 computations (15.9% saved)

Precisions

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

ival-sub: 2.0ms (30.8% of total)

ival-add: 2.0ms (30.8% of total)

ival-mult: 2.0ms (30.8% of total)

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

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

bsearch97.0ms (1.8%)

Memory

-53.1MiB live, 48.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.0488565475691617e-57	6.853393101826994e-53
94.0ms	-1.05994409102362e-10	-1.4652059201823833e-31

Samples

68.0ms

176×

valid

Compiler

Compiled 504 to 430 computations (14.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

ival-sub: 62.0ms (96.9% of total)

ival-add: 1.0ms (1.6% of total)

ival-mult: 1.0ms (1.6% of total)

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

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

simplify24.0ms (0.5%)

Memory

11.0MiB live, 49.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	275
1	71	275
2	77	275
3	80	275
4	81	275

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (-.f64 z x) y x)
(if (<=.f64 y #s(literal -850000 binary64)) #s(approx (+ (* z y) (+ (* (neg x) y) x)) (.f64 (-.f64 z x) y)) (if (<=.f64 y #s(literal 1080863910568919/2251799813685248 binary64)) #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))))
(if (<=.f64 x #s(literal -6151454740732423/904625697166532776746648320380374280103671755200316906558262375061821325312 binary64)) #s(approx (+ x (* y (- z x))) (.f64 (-.f64 #s(literal 1 binary64) y) x)) (if (<=.f64 x #s(literal 6274461918017673/266998379490113760299377713271194014325338065294581596243380200977777465722580068752870260867072 binary64)) #s(approx (+ x ( y (- z x))) (.f64 z y)) #s(approx (+ x ( y (- z x))) (fma.f64 (neg.f64 y) x x))))
(if (<=.f64 x #s(literal -6151454740732423/904625697166532776746648320380374280103671755200316906558262375061821325312 binary64)) #s(approx (+ x (* y (- z x))) (.f64 (-.f64 #s(literal 1 binary64) y) x)) (if (<=.f64 x #s(literal 6274461918017673/266998379490113760299377713271194014325338065294581596243380200977777465722580068752870260867072 binary64)) #s(approx (+ x ( y (- z x))) (.f64 z y)) #s(approx (+ x ( y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (+ x (* y (- z x))) (.f64 #s(approx (- 1 y) (neg.f64 y)) x)) (if (<=.f64 y #s(literal 6686066773453359/431359146674410236714672241392314090778194310760649159697657763987456 binary64)) #s(approx (+ x ( y (- z x))) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) (if (<=.f64 y #s(literal 144999999999999997283745350585533496709278020625994384214349939625322328918734778759771726477792059725873643811463619594242175444296706741222980670287532541914974830543784176127670829086512817256230452207605499210652719965461855633241806690911817639657472 binary64)) #s(approx (+ x ( y (- z x))) (.f64 z y)) #s(approx (+ x ( y (- z x))) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)))))
(if (<=.f64 y #s(literal -6437288204283977/2475880078570760549798248448 binary64)) #s(approx (+ x (* y (- z x))) (.f64 z y)) (if (<=.f64 y #s(literal 6686066773453359/431359146674410236714672241392314090778194310760649159697657763987456 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 -850000 binary64)) #s(approx (+ (* z y) (+ (* (neg x) y) x)) (.f64 (-.f64 z x) y)) (if (<=.f64 y #s(literal 1080863910568919/2251799813685248 binary64)) #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))))
(if (<=.f64 y #s(literal -850000 binary64)) #s(approx (+ (* z y) (+ (* (neg x) y) x)) (.f64 y (-.f64 z x))) (if (<=.f64 y #s(literal 1080863910568919/2251799813685248 binary64)) #s(approx (+ x ( y (- z x))) (fma.f64 (neg.f64 y) x x)) #s(approx (+ (* z y) (+ (* (neg x) y) x)) (*.f64 y (-.f64 z x)))))
(if (<=.f64 x #s(literal -6151454740732423/904625697166532776746648320380374280103671755200316906558262375061821325312 binary64)) #s(approx (+ x (* y (- z x))) (.f64 (-.f64 #s(literal 1 binary64) y) x)) (if (<=.f64 x #s(literal 6274461918017673/266998379490113760299377713271194014325338065294581596243380200977777465722580068752870260867072 binary64)) #s(approx (+ x ( y (- z x))) (.f64 z y)) #s(approx (+ x ( y (- z x))) (fma.f64 (neg.f64 y) x x))))
(if (<=.f64 x #s(literal -6151454740732423/904625697166532776746648320380374280103671755200316906558262375061821325312 binary64)) #s(approx (+ x (* y (- z x))) (.f64 (-.f64 #s(literal 1 binary64) y) x)) (if (<=.f64 x #s(literal 6274461918017673/266998379490113760299377713271194014325338065294581596243380200977777465722580068752870260867072 binary64)) #s(approx (+ x ( y (- z x))) (.f64 y z)) #s(approx (+ x ( y (- z x))) (fma.f64 (neg.f64 y) x x))))
(if (<=.f64 x #s(literal -6151454740732423/904625697166532776746648320380374280103671755200316906558262375061821325312 binary64)) #s(approx (+ x (* y (- z x))) (.f64 (-.f64 #s(literal 1 binary64) y) x)) (if (<=.f64 x #s(literal 6274461918017673/266998379490113760299377713271194014325338065294581596243380200977777465722580068752870260867072 binary64)) #s(approx (+ x ( y (- z x))) (.f64 z y)) #s(approx (+ x ( y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x))))
(if (<=.f64 x #s(literal -6151454740732423/904625697166532776746648320380374280103671755200316906558262375061821325312 binary64)) #s(approx (+ x (* y (- z x))) (.f64 (-.f64 #s(literal 1 binary64) y) x)) (if (<=.f64 x #s(literal 6274461918017673/266998379490113760299377713271194014325338065294581596243380200977777465722580068752870260867072 binary64)) #s(approx (+ x ( y (- z x))) (.f64 y z)) #s(approx (+ x ( y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (+ x (* y (- z x))) (.f64 #s(approx (- 1 y) (neg.f64 y)) x)) (if (<=.f64 y #s(literal 6686066773453359/431359146674410236714672241392314090778194310760649159697657763987456 binary64)) #s(approx (+ x ( y (- z x))) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) (if (<=.f64 y #s(literal 144999999999999997283745350585533496709278020625994384214349939625322328918734778759771726477792059725873643811463619594242175444296706741222980670287532541914974830543784176127670829086512817256230452207605499210652719965461855633241806690911817639657472 binary64)) #s(approx (+ x ( y (- z x))) (.f64 z y)) #s(approx (+ x ( y (- z x))) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (+ x (* y (- z x))) (.f64 #s(approx (- 1 y) (neg.f64 y)) x)) (if (<=.f64 y #s(literal 6686066773453359/431359146674410236714672241392314090778194310760649159697657763987456 binary64)) #s(approx (+ x ( y (- z x))) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) (if (<=.f64 y #s(literal 144999999999999997283745350585533496709278020625994384214349939625322328918734778759771726477792059725873643811463619594242175444296706741222980670287532541914974830543784176127670829086512817256230452207605499210652719965461855633241806690911817639657472 binary64)) #s(approx (+ x ( y (- z x))) (.f64 y z)) #s(approx (+ x ( y (- z x))) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)))))
(if (<=.f64 y #s(literal -6437288204283977/2475880078570760549798248448 binary64)) #s(approx (+ x (* y (- z x))) (.f64 z y)) (if (<=.f64 y #s(literal 6686066773453359/431359146674410236714672241392314090778194310760649159697657763987456 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 -6437288204283977/2475880078570760549798248448 binary64)) #s(approx (+ x (* y (- z x))) (.f64 y z)) (if (<=.f64 y #s(literal 6686066773453359/431359146674410236714672241392314090778194310760649159697657763987456 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))

soundness1.4s (26%)

Memory

20.2MiB live, 520.2MiB 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	73	185
1	242	137
2	727	137
3	2041	137
4	4197	137
5	5998	137
6	7385	137
0	8198	128
0	17	59
0	27	59
1	118	55
2	881	55
0	8372	55
0	90	170
1	292	170
2	803	170
3	2118	170
4	4779	170
5	7119	170
0	8243	158

Stop Event

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

Compiler

Compiled 406 to 183 computations (54.9% saved)

preprocess103.0ms (2%)

Memory: -12.1MiB live, 77.1MiB allocated
Compiler: Compiled 564 to 130 computations (77% saved)

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	33
0	16	33
1	34	29
2	57	26
3	99	26
4	153	26
5	262	26
6	425	26
7	585	26
8	619	26
9	621	26
0	621	25

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	33
0	16	33
1	34	29
2	57	26
3	99	26
4	153	26
5	262	26
6	425	26
7	585	26
8	619	26
9	621	26
0	621	25

start0.0ms (0%)

analyze0.0ms (0%)

sample557.0ms (10.5%)

explain116.0ms (2.2%)

preprocess72.0ms (1.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify968.0ms (18.3%)

localize15.0ms (0.3%)

series7.0ms (0.1%)

simplify307.0ms (5.8%)

rewrite211.0ms (4%)

eval29.0ms (0.6%)

prune5.0ms (0.1%)

simplify18.0ms (0.3%)

localize72.0ms (1.4%)

series12.0ms (0.2%)

simplify127.0ms (2.4%)

rewrite214.0ms (4%)

eval41.0ms (0.8%)

prune6.0ms (0.1%)

simplify36.0ms (0.7%)

localize45.0ms (0.8%)

series7.0ms (0.1%)

simplify107.0ms (2%)

rewrite160.0ms (3%)

eval25.0ms (0.5%)

prune6.0ms (0.1%)

simplify35.0ms (0.7%)

localize28.0ms (0.5%)

series4.0ms (0.1%)

simplify99.0ms (1.9%)

rewrite187.0ms (3.5%)

eval12.0ms (0.2%)

prune12.0ms (0.2%)

regimes25.0ms (0.5%)

regimes11.0ms (0.2%)

regimes7.0ms (0.1%)

regimes2.0ms (0%)

regimes9.0ms (0.2%)

regimes2.0ms (0%)

regimes5.0ms (0.1%)

bsearch23.0ms (0.4%)

bsearch31.0ms (0.6%)

bsearch3.0ms (0.1%)

bsearch32.0ms (0.6%)

bsearch97.0ms (1.8%)

simplify24.0ms (0.5%)

soundness1.4s (26%)

preprocess103.0ms (2%)

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	33
0	16	33
1	34	29
2	57	26
3	99	26
4	153	26
5	262	26
6	425	26
7	585	26
8	619	26
9	621	26
0	621	25