Metrics for SynthBasics:oscSampleBasedAux from YampaSynth-0.2

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample690.0ms (17.1%)

Memory

30.4MiB live, 729.9MiB allocated

Samples

479.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 157.0ms

ival-mult: 54.0ms (34.3% of total)

ival-add: 49.0ms (31.2% of total)

ival-sub: 45.0ms (28.6% of total)

ival-true: 5.0ms (3.2% of total)

ival-assert: 3.0ms (1.9% of total)

Bogosity

explain66.0ms (1.6%)

Memory

6.9MiB live, 86.8MiB 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

23.0ms

512×

valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

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

ival-sub: 3.0ms (33% of total)

ival-mult: 3.0ms (33% of total)

ival-add: 2.0ms (22% of total)

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

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

preprocess20.0ms (0.5%)

Memory

-18.2MiB live, 18.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify3.0ms (0.1%)

Memory

2.3MiB live, 2.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	9	18
1	14	18
2	22	18
3	33	18
4	42	18
0	42	17

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize15.0ms (0.4%)

Memory

23.5MiB live, 23.5MiB allocated

Localize:

Found 3 expressions of interest:

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

Samples

11.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

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

ival-mult: 2.0ms (46.4% of total)

ival-sub: 1.0ms (23.2% of total)

ival-add: 1.0ms (23.2% of total)

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

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

series10.0ms (0.2%)

Memory

-25.6MiB live, 12.4MiB allocated

Counts

3 → 29

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	((+ x (* y (- z x))) (* y (- z x)) (- z x))
1.0ms	x	@	-inf	((+ x (* y (- z x))) (* y (- z x)) (- z x))
1.0ms	z	@	-inf	((+ x (* y (- z x))) (* y (- z x)) (- z x))
1.0ms	y	@	inf	((+ x (* y (- z x))) (* y (- z x)) (- z x))
1.0ms	y	@	-inf	((+ x (* y (- z x))) (* y (- z x)) (- z x))

simplify102.0ms (2.5%)

Memory

2.3MiB live, 93.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

29 → 27

Calls

Call 1

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

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

rewrite163.0ms (4%)

Memory

-9.2MiB live, 144.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

3 → 231

Calls

Call 1

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

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

eval26.0ms (0.6%)

Memory: 15.0MiB live, 52.7MiB allocated
Compiler: Compiled 6 156 to 785 computations (87.2% saved)

prune4.0ms (0.1%)

Memory

13.8MiB live, 13.8MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	234	4	238
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	235	4	239

Accuracy

100.0%

Counts

239 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (-.f64 z x) y x)
▶	29.7%	(fma.f64 (sqrt.f64 (-.f64 z x)) (sqrt.f64 (.f64 (.f64 (-.f64 z x) y) 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 44 to 32 computations (27.3% saved)

simplify9.0ms (0.2%)

Memory

-30.7MiB live, 7.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	96
0	30	94
1	44	94
2	62	94
3	100	94
4	153	94
5	188	94
6	200	94
7	205	94
0	205	94

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 (sqrt.f64 (-.f64 z x)) (sqrt.f64 (.f64 (.f64 (-.f64 z x) y) y)) x)
(sqrt.f64 (-.f64 z x))
(-.f64 z x)
z
x
(sqrt.f64 (.f64 (.f64 (-.f64 z x) y) y))
(.f64 (.f64 (-.f64 z x) y) y)
(*.f64 (-.f64 z x) y)
y
(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 (sqrt.f64 (-.f64 z x)) (sqrt.f64 (.f64 (.f64 (-.f64 z x) y) y)) x)
(fma.f64 (sqrt.f64 (.f64 (.f64 (-.f64 z x) y) y)) (sqrt.f64 (-.f64 z x)) x)
(sqrt.f64 (-.f64 z x))
(-.f64 z x)
z
x
(sqrt.f64 (.f64 (.f64 (-.f64 z x) y) y))
(.f64 (.f64 (-.f64 z x) y) y)
(*.f64 (-.f64 z x) y)
y
(fma.f64 (-.f64 z x) y x)
(-.f64 z x)
z
x
y

localize43.0ms (1.1%)

Memory

21.4MiB live, 67.2MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 z x)
accuracy	0.00390625	(fma.f64 (-.f64 z x) y x)
accuracy	0.015625	(*.f64 (-.f64 z x) y)
accuracy	0.05859375	(fma.f64 (sqrt.f64 (-.f64 z x)) (sqrt.f64 (.f64 (.f64 (-.f64 z x) y) y)) x)
accuracy	0.0625	(.f64 (.f64 (-.f64 z x) y) y)
accuracy	8.915622104548794	(sqrt.f64 (.f64 (.f64 (-.f64 z x) y) y))
accuracy	0.0	(-.f64 #s(literal 1 binary64) y)
accuracy	0.0	(*.f64 (-.f64 #s(literal 1 binary64) y) x)
accuracy	8.826211682902928	#s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x))
accuracy	0.0	(*.f64 z y)
accuracy	19.988900665324046	#s(approx (+ x (* y (- z x))) (*.f64 z y))

Samples

19.0ms	135×	0	invalid
14.0ms	121×	0	valid

Compiler

Compiled 90 to 19 computations (78.9% saved)

Precisions

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

ival-mult: 11.0ms (53.9% of total)

ival-sub: 3.0ms (14.7% of total)

ival-add: 3.0ms (14.7% of total)

ival-sqrt: 3.0ms (14.7% of total)

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

exact: 0.0ms (0% of total)

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

series28.0ms (0.7%)

Memory

-16.6MiB live, 21.7MiB allocated

Counts

12 → 95

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 (sqrt.f64 (-.f64 z x)) (sqrt.f64 (.f64 (.f64 (-.f64 z x) y) y)) x)
(sqrt.f64 (-.f64 z x))
(-.f64 z x)
(sqrt.f64 (.f64 (.f64 (-.f64 z x) y) y))
(fma.f64 (-.f64 z x) y x)
(.f64 (.f64 (-.f64 z x) y) y)
(*.f64 (-.f64 z x) y)

Outputs
(* y z)
(+ (* x (+ 1 (* -1 y))) (* y z))
(* x (- 1 y))
(sqrt z)
(+ (sqrt z) (* -1/2 (* x (sqrt (/ 1 z)))))
(+ (sqrt z) (* x (+ (* -1/2 (sqrt (/ 1 z))) (* -1/8 (* x (sqrt (/ 1 (pow z 3))))))))
(+ (sqrt z) (* x (+ (* -1/2 (sqrt (/ 1 z))) (* x (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (* -1/16 (* x (sqrt (/ 1 (pow z 5))))))))))
z
(+ z (* -1 x))
(* y (sqrt z))
(+ (* -1/2 (* (* x y) (sqrt (/ 1 z)))) (* y (sqrt z)))
(+ (* x (+ (* -1/2 (* y (sqrt (/ 1 z)))) (* -1/8 (* (* x y) (sqrt (/ 1 (pow z 3))))))) (* y (sqrt z)))
(+ (* x (+ (* -1/2 (* y (sqrt (/ 1 z)))) (* x (+ (* -1/8 (* y (sqrt (/ 1 (pow z 3))))) (* -1/16 (* (* x y) (sqrt (/ 1 (pow z 5))))))))) (* y (sqrt z)))
(* (pow y 2) z)
(+ (* -1 (* x (pow y 2))) (* (pow y 2) z))
(+ (* -1 (* x y)) (* y z))
(* x (+ 1 (* -1 y)))
(* x (+ 1 (+ (* -1 y) (/ (* y z) x))))
(* (sqrt x) (sqrt -1))
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ z (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow z 2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ z (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow z 2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (pow z 3) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ z (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(* -1 x)
(* x (- (/ z x) 1))
(* (sqrt x) (* y (sqrt -1)))
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (* y z) (sqrt -1)))) (* (sqrt (/ 1 x)) (* y (sqrt -1)))))
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (* y (pow z 2)) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (* y z) (sqrt -1)))) (* (sqrt (/ 1 x)) (* y (sqrt -1))))))
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (* y (pow z 2)) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (* y (pow z 3)) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (* y z) (sqrt -1)))) (* (sqrt (/ 1 x)) (* y (sqrt -1)))))))
(* -1 (* x (pow y 2)))
(* x (+ (* -1 (pow y 2)) (/ (* (pow y 2) z) x)))
(* -1 (* x y))
(* x (+ (* -1 y) (/ (* y z) x)))
(* -1 (* x (- y 1)))
(* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1)))
(* -1 (* (sqrt x) (sqrt -1)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* z (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow z 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* z (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow z 2) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (pow z 3) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* z (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
(* -1 (* x (+ 1 (* -1 (/ z x)))))
(* -1 (* (sqrt x) (* y (sqrt -1))))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (* z (sqrt -1))))) (* (sqrt (/ 1 x)) (* y (sqrt -1))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* y (* (pow z 2) (sqrt -1))))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (* z (sqrt -1))))) (* (sqrt (/ 1 x)) (* y (sqrt -1)))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* y (* (pow z 2) (sqrt -1))))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* y (* (pow z 3) (sqrt -1))))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (* z (sqrt -1))))) (* (sqrt (/ 1 x)) (* y (sqrt -1))))))))
(* -1 (* x (+ (* -1 (/ (* (pow y 2) z) x)) (pow y 2))))
(* -1 (* x (+ y (* -1 (/ (* y z) x)))))
x
(+ x (* y (- z x)))
(+ x (* -1 (* x y)))
1
(+ 1 (* -1 y))
(* y (sqrt (- z x)))
(* (pow y 2) (- z x))
(* y (- z x))
(* y (- (+ z (/ x y)) x))
(* y (+ (* -1 x) (/ x y)))
(* -1 y)
(* y (- (/ 1 y) 1))
(* -1 (* y (+ (* -1 (- z x)) (* -1 (/ x y)))))
(* -1 (* y (+ x (* -1 (/ x y)))))
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- z x)))
(* -1 (* y (- (+ z (* -1 (/ x y))) x)))
(* -1 (* y (sqrt (- z x))))
(+ x (+ (* -1 (* x y)) (* y z)))
(+ (* 1/2 (* (sqrt (/ 1 x)) (/ z (sqrt -1)))) (* (sqrt x) (sqrt -1)))
(+ (* z (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ z (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))))) (* (sqrt x) (sqrt -1)))
(+ (* z (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (* z (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ z (pow (sqrt -1) 5)))))))) (* (sqrt x) (sqrt -1)))
(- z x)
(+ (* 1/2 (* (sqrt (/ 1 x)) (/ (* y z) (sqrt -1)))) (* (sqrt x) (* y (sqrt -1))))
(+ (* z (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* y z) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 x)) (/ y (sqrt -1)))))) (* (sqrt x) (* y (sqrt -1))))
(+ (* z (+ (* 1/2 (* (sqrt (/ 1 x)) (/ y (sqrt -1)))) (* z (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ y (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (* y z) (pow (sqrt -1) 5)))))))) (* (sqrt x) (* y (sqrt -1))))
(* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z))))
(* z (+ (sqrt (/ 1 z)) (* -1/2 (* x (sqrt (/ 1 (pow z 3)))))))
(* z (+ (sqrt (/ 1 z)) (+ (* -1/2 (* x (sqrt (/ 1 (pow z 3))))) (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow z 5))))))))
(* z (+ (sqrt (/ 1 z)) (+ (* -1/2 (* x (sqrt (/ 1 (pow z 3))))) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow z 5))))) (* -1/16 (* (pow x 3) (sqrt (/ 1 (pow z 7)))))))))
(* z (+ 1 (* -1 (/ x z))))
(* z (+ (* -1/2 (* (* x y) (sqrt (/ 1 (pow z 3))))) (* y (sqrt (/ 1 z)))))
(* z (+ (* -1/2 (* (* x y) (sqrt (/ 1 (pow z 3))))) (+ (* -1/8 (* (* (pow x 2) y) (sqrt (/ 1 (pow z 5))))) (* y (sqrt (/ 1 z))))))
(* z (+ (* -1/2 (* (* x y) (sqrt (/ 1 (pow z 3))))) (+ (* -1/8 (* (* (pow x 2) y) (sqrt (/ 1 (pow z 5))))) (+ (* -1/16 (* (* (pow x 3) y) (sqrt (/ 1 (pow z 7))))) (* y (sqrt (/ 1 z)))))))
(* z (+ (* -1 (/ (* x (pow y 2)) z)) (pow y 2)))
(* z (+ y (* -1 (/ (* x y) z))))
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1 (* x y))) z)))))
(* -1 (* y (* z (pow (sqrt -1) 2))))
(* -1 (* z (+ (* -1 (/ (+ x (* x (* y (pow (sqrt -1) 2)))) z)) (* y (pow (sqrt -1) 2)))))
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(* -1 (* z (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow z 3))))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))
(* -1 (* z (+ (* -1/8 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow z 5))))) (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow z 3))))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))))
(* -1 (* z (+ (* -1/8 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow z 5))))) (+ (* 1/16 (* (* (pow x 3) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow z 7))))) (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow z 3))))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))))
(* -1 (* z (- (/ x z) 1)))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* z (+ (* 1/2 (* (* x (* y (pow (sqrt -1) 2))) (sqrt (/ 1 (pow z 3))))) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))
(* -1 (* z (+ (* -1/8 (* (* (pow x 2) (* y (pow (sqrt -1) 2))) (sqrt (/ 1 (pow z 5))))) (+ (* 1/2 (* (* x (* y (pow (sqrt -1) 2))) (sqrt (/ 1 (pow z 3))))) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))
(* -1 (* z (+ (* -1/8 (* (* (pow x 2) (* y (pow (sqrt -1) 2))) (sqrt (/ 1 (pow z 5))))) (+ (* 1/16 (* (* (pow x 3) (* y (pow (sqrt -1) 2))) (sqrt (/ 1 (pow z 7))))) (+ (* 1/2 (* (* x (* y (pow (sqrt -1) 2))) (sqrt (/ 1 (pow z 3))))) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))))
(* -1 (* z (+ (* -1 (pow y 2)) (/ (* x (pow y 2)) z))))
(* -1 (* z (+ (* -1 y) (/ (* x y) z))))

Calls

9 calls:

Time	Variable		Point	Expression
7.0ms	y	@	inf	((+ x (* y (- z x))) (* z y) (+ x (* y (- z x))) (* (- 1 y) x) (- 1 y) (+ (* (sqrt (- z x)) (sqrt (* (* (- z x) y) y))) x) (sqrt (- z x)) (- z x) (sqrt (* (* (- z x) y) y)) (+ (* (- z x) y) x) (* (* (- z x) y) y) (* (- z x) y))
5.0ms	z	@	-inf	((+ x (* y (- z x))) (* z y) (+ x (* y (- z x))) (* (- 1 y) x) (- 1 y) (+ (* (sqrt (- z x)) (sqrt (* (* (- z x) y) y))) x) (sqrt (- z x)) (- z x) (sqrt (* (* (- z x) y) y)) (+ (* (- z x) y) x) (* (* (- z x) y) y) (* (- z x) y))
3.0ms	x	@	-inf	((+ x (* y (- z x))) (* z y) (+ x (* y (- z x))) (* (- 1 y) x) (- 1 y) (+ (* (sqrt (- z x)) (sqrt (* (* (- z x) y) y))) x) (sqrt (- z x)) (- z x) (sqrt (* (* (- z x) y) y)) (+ (* (- z x) y) x) (* (* (- z x) y) y) (* (- z x) y))
2.0ms	x	@	inf	((+ x (* y (- z x))) (* z y) (+ x (* y (- z x))) (* (- 1 y) x) (- 1 y) (+ (* (sqrt (- z x)) (sqrt (* (* (- z x) y) y))) x) (sqrt (- z x)) (- z x) (sqrt (* (* (- z x) y) y)) (+ (* (- z x) y) x) (* (* (- z x) y) y) (* (- z x) y))
2.0ms	z	@	inf	((+ x (* y (- z x))) (* z y) (+ x (* y (- z x))) (* (- 1 y) x) (- 1 y) (+ (* (sqrt (- z x)) (sqrt (* (* (- z x) y) y))) x) (sqrt (- z x)) (- z x) (sqrt (* (* (- z x) y) y)) (+ (* (- z x) y) x) (* (* (- z x) y) y) (* (- z x) y))

simplify147.0ms (3.6%)

Memory

7.5MiB live, 158.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	400	1815
1	1428	1693
2	6074	1668
0	8492	1597

Stop Event

1×	iter limit
1×	node limit

Counts

95 → 93

Calls

Call 1

Inputs
(* y z)
(+ (* x (+ 1 (* -1 y))) (* y z))
(* x (- 1 y))
(sqrt z)
(+ (sqrt z) (* -1/2 (* x (sqrt (/ 1 z)))))
(+ (sqrt z) (* x (+ (* -1/2 (sqrt (/ 1 z))) (* -1/8 (* x (sqrt (/ 1 (pow z 3))))))))
(+ (sqrt z) (* x (+ (* -1/2 (sqrt (/ 1 z))) (* x (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (* -1/16 (* x (sqrt (/ 1 (pow z 5))))))))))
z
(+ z (* -1 x))
(* y (sqrt z))
(+ (* -1/2 (* (* x y) (sqrt (/ 1 z)))) (* y (sqrt z)))
(+ (* x (+ (* -1/2 (* y (sqrt (/ 1 z)))) (* -1/8 (* (* x y) (sqrt (/ 1 (pow z 3))))))) (* y (sqrt z)))
(+ (* x (+ (* -1/2 (* y (sqrt (/ 1 z)))) (* x (+ (* -1/8 (* y (sqrt (/ 1 (pow z 3))))) (* -1/16 (* (* x y) (sqrt (/ 1 (pow z 5))))))))) (* y (sqrt z)))
(* (pow y 2) z)
(+ (* -1 (* x (pow y 2))) (* (pow y 2) z))
(+ (* -1 (* x y)) (* y z))
(* x (+ 1 (* -1 y)))
(* x (+ 1 (+ (* -1 y) (/ (* y z) x))))
(* (sqrt x) (sqrt -1))
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ z (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow z 2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ z (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow z 2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (pow z 3) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ z (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(* -1 x)
(* x (- (/ z x) 1))
(* (sqrt x) (* y (sqrt -1)))
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (* y z) (sqrt -1)))) (* (sqrt (/ 1 x)) (* y (sqrt -1)))))
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (* y (pow z 2)) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (* y z) (sqrt -1)))) (* (sqrt (/ 1 x)) (* y (sqrt -1))))))
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (* y (pow z 2)) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (* y (pow z 3)) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (* y z) (sqrt -1)))) (* (sqrt (/ 1 x)) (* y (sqrt -1)))))))
(* -1 (* x (pow y 2)))
(* x (+ (* -1 (pow y 2)) (/ (* (pow y 2) z) x)))
(* -1 (* x y))
(* x (+ (* -1 y) (/ (* y z) x)))
(* -1 (* x (- y 1)))
(* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1)))
(* -1 (* (sqrt x) (sqrt -1)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* z (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow z 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* z (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow z 2) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (pow z 3) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* z (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
(* -1 (* x (+ 1 (* -1 (/ z x)))))
(* -1 (* (sqrt x) (* y (sqrt -1))))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (* z (sqrt -1))))) (* (sqrt (/ 1 x)) (* y (sqrt -1))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* y (* (pow z 2) (sqrt -1))))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (* z (sqrt -1))))) (* (sqrt (/ 1 x)) (* y (sqrt -1)))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* y (* (pow z 2) (sqrt -1))))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* y (* (pow z 3) (sqrt -1))))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (* z (sqrt -1))))) (* (sqrt (/ 1 x)) (* y (sqrt -1))))))))
(* -1 (* x (+ (* -1 (/ (* (pow y 2) z) x)) (pow y 2))))
(* -1 (* x (+ y (* -1 (/ (* y z) x)))))
x
(+ x (* y (- z x)))
(+ x (* -1 (* x y)))
1
(+ 1 (* -1 y))
(* y (sqrt (- z x)))
(* (pow y 2) (- z x))
(* y (- z x))
(* y (- (+ z (/ x y)) x))
(* y (+ (* -1 x) (/ x y)))
(* -1 y)
(* y (- (/ 1 y) 1))
(* -1 (* y (+ (* -1 (- z x)) (* -1 (/ x y)))))
(* -1 (* y (+ x (* -1 (/ x y)))))
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- z x)))
(* -1 (* y (- (+ z (* -1 (/ x y))) x)))
(* -1 (* y (sqrt (- z x))))
(+ x (+ (* -1 (* x y)) (* y z)))
(+ (* 1/2 (* (sqrt (/ 1 x)) (/ z (sqrt -1)))) (* (sqrt x) (sqrt -1)))
(+ (* z (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ z (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))))) (* (sqrt x) (sqrt -1)))
(+ (* z (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (* z (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ z (pow (sqrt -1) 5)))))))) (* (sqrt x) (sqrt -1)))
(- z x)
(+ (* 1/2 (* (sqrt (/ 1 x)) (/ (* y z) (sqrt -1)))) (* (sqrt x) (* y (sqrt -1))))
(+ (* z (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* y z) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 x)) (/ y (sqrt -1)))))) (* (sqrt x) (* y (sqrt -1))))
(+ (* z (+ (* 1/2 (* (sqrt (/ 1 x)) (/ y (sqrt -1)))) (* z (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ y (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (* y z) (pow (sqrt -1) 5)))))))) (* (sqrt x) (* y (sqrt -1))))
(* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z))))
(* z (+ (sqrt (/ 1 z)) (* -1/2 (* x (sqrt (/ 1 (pow z 3)))))))
(* z (+ (sqrt (/ 1 z)) (+ (* -1/2 (* x (sqrt (/ 1 (pow z 3))))) (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow z 5))))))))
(* z (+ (sqrt (/ 1 z)) (+ (* -1/2 (* x (sqrt (/ 1 (pow z 3))))) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow z 5))))) (* -1/16 (* (pow x 3) (sqrt (/ 1 (pow z 7)))))))))
(* z (+ 1 (* -1 (/ x z))))
(* z (+ (* -1/2 (* (* x y) (sqrt (/ 1 (pow z 3))))) (* y (sqrt (/ 1 z)))))
(* z (+ (* -1/2 (* (* x y) (sqrt (/ 1 (pow z 3))))) (+ (* -1/8 (* (* (pow x 2) y) (sqrt (/ 1 (pow z 5))))) (* y (sqrt (/ 1 z))))))
(* z (+ (* -1/2 (* (* x y) (sqrt (/ 1 (pow z 3))))) (+ (* -1/8 (* (* (pow x 2) y) (sqrt (/ 1 (pow z 5))))) (+ (* -1/16 (* (* (pow x 3) y) (sqrt (/ 1 (pow z 7))))) (* y (sqrt (/ 1 z)))))))
(* z (+ (* -1 (/ (* x (pow y 2)) z)) (pow y 2)))
(* z (+ y (* -1 (/ (* x y) z))))
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1 (* x y))) z)))))
(* -1 (* y (* z (pow (sqrt -1) 2))))
(* -1 (* z (+ (* -1 (/ (+ x (* x (* y (pow (sqrt -1) 2)))) z)) (* y (pow (sqrt -1) 2)))))
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(* -1 (* z (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow z 3))))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))
(* -1 (* z (+ (* -1/8 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow z 5))))) (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow z 3))))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))))
(* -1 (* z (+ (* -1/8 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow z 5))))) (+ (* 1/16 (* (* (pow x 3) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow z 7))))) (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow z 3))))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))))
(* -1 (* z (- (/ x z) 1)))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* z (+ (* 1/2 (* (* x (* y (pow (sqrt -1) 2))) (sqrt (/ 1 (pow z 3))))) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))
(* -1 (* z (+ (* -1/8 (* (* (pow x 2) (* y (pow (sqrt -1) 2))) (sqrt (/ 1 (pow z 5))))) (+ (* 1/2 (* (* x (* y (pow (sqrt -1) 2))) (sqrt (/ 1 (pow z 3))))) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))
(* -1 (* z (+ (* -1/8 (* (* (pow x 2) (* y (pow (sqrt -1) 2))) (sqrt (/ 1 (pow z 5))))) (+ (* 1/16 (* (* (pow x 3) (* y (pow (sqrt -1) 2))) (sqrt (/ 1 (pow z 7))))) (+ (* 1/2 (* (* x (* y (pow (sqrt -1) 2))) (sqrt (/ 1 (pow z 3))))) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))))
(* -1 (* z (+ (* -1 (pow y 2)) (/ (* x (pow y 2)) z))))
(* -1 (* z (+ (* -1 y) (/ (* x y) z))))

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)
(sqrt z)
(sqrt.f64 z)
(+ (sqrt z) (* -1/2 (* x (sqrt (/ 1 z)))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))
(+ (sqrt z) (* x (+ (* -1/2 (sqrt (/ 1 z))) (* -1/8 (* x (sqrt (/ 1 (pow z 3))))))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal -1/2 binary64))) x (sqrt.f64 z))
(+ (sqrt z) (* x (+ (* -1/2 (sqrt (/ 1 z))) (* x (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (* -1/16 (* x (sqrt (/ 1 (pow z 5))))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/16 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) #s(literal -1/8 binary64))) x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal -1/2 binary64))) x (sqrt.f64 z))
z
(+ z (* -1 x))
(-.f64 z x)
(* y (sqrt z))
(*.f64 (sqrt.f64 z) y)
(+ (* -1/2 (* (* x y) (sqrt (/ 1 z)))) (* y (sqrt z)))
(fma.f64 (.f64 x (.f64 #s(literal -1/2 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 (sqrt.f64 z) y))
(+ (* x (+ (* -1/2 (* y (sqrt (/ 1 z)))) (* -1/8 (* (* x y) (sqrt (/ 1 (pow z 3))))))) (* y (sqrt z)))
(fma.f64 (fma.f64 (.f64 x (.f64 #s(literal -1/8 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (.f64 (.f64 #s(literal -1/2 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) x (*.f64 (sqrt.f64 z) y))
(+ (* x (+ (* -1/2 (* y (sqrt (/ 1 z)))) (* x (+ (* -1/8 (* y (sqrt (/ 1 (pow z 3))))) (* -1/16 (* (* x y) (sqrt (/ 1 (pow z 5))))))))) (* y (sqrt z)))
(fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (.f64 (.f64 (.f64 y x) #s(literal -1/16 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64)))))) x)) x (*.f64 (sqrt.f64 z) y))
(* (pow y 2) z)
(.f64 (.f64 y y) z)
(+ (* -1 (* x (pow y 2))) (* (pow y 2) z))
(.f64 (.f64 (-.f64 z x) y) y)
(+ (* -1 (* x y)) (* y z))
(*.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 (/.f64 (*.f64 z y) x) y) x x)
(* (sqrt x) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x))
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ z (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 z (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))) x)
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow z 2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ z (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(.f64 (fma.f64 (/.f64 (.f64 (.f64 z z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/8 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 z (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))) x)
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow z 2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (pow z 3) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ z (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(.f64 (fma.f64 (/.f64 (.f64 (.f64 z z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/8 binary64) (fma.f64 (.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))))) #s(literal 1/16 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 z (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))) x)
(* -1 x)
(neg.f64 x)
(* x (- (/ z x) 1))
(*.f64 (-.f64 (/.f64 z x) #s(literal 1 binary64)) x)
(* (sqrt x) (* y (sqrt -1)))
(.f64 (.f64 (sqrt.f64 x) y) (sqrt.f64 #s(literal -1 binary64)))
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (* y z) (sqrt -1)))) (* (sqrt (/ 1 x)) (* y (sqrt -1)))))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 z (sqrt.f64 #s(literal -1 binary64))) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (* y (pow z 2)) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (* y z) (sqrt -1)))) (* (sqrt (/ 1 x)) (* y (sqrt -1))))))
(.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 z z) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/8 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 z (sqrt.f64 #s(literal -1 binary64))) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x)
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (* y (pow z 2)) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (* y (pow z 3)) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (* y z) (sqrt -1)))) (* (sqrt (/ 1 x)) (* y (sqrt -1)))))))
(.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 z z) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/8 binary64) (fma.f64 (.f64 (.f64 (pow.f64 z #s(literal 3 binary64)) (/.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))))) #s(literal 1/16 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 z (sqrt.f64 #s(literal -1 binary64))) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) x)
(* -1 (* x (pow y 2)))
(.f64 (neg.f64 x) (.f64 y y))
(* x (+ (* -1 (pow y 2)) (/ (* (pow y 2) z) x)))
(.f64 (.f64 (*.f64 y y) (+.f64 (/.f64 z x) #s(literal -1 binary64))) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* x (+ (* -1 y) (/ (* y z) x)))
(.f64 (-.f64 (/.f64 (.f64 z y) x) y) x)
(* -1 (* x (- y 1)))
(*.f64 (neg.f64 x) (-.f64 y #s(literal 1 binary64)))
(* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1)))
(*.f64 (neg.f64 x) (-.f64 y (fma.f64 (/.f64 z x) y #s(literal 1 binary64))))
(* -1 (* (sqrt x) (sqrt -1)))
(*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 #s(literal -1 binary64)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* z (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(.f64 (neg.f64 x) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow z 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* z (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(.f64 (neg.f64 x) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow z 2) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (pow z 3) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* z (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
(.f64 (neg.f64 x) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 z #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))))
(* -1 (* x (+ 1 (* -1 (/ z x)))))
(fma.f64 (/.f64 z x) x (neg.f64 x))
(* -1 (* (sqrt x) (* y (sqrt -1))))
(.f64 (neg.f64 (sqrt.f64 x)) (.f64 (sqrt.f64 #s(literal -1 binary64)) y))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (* z (sqrt -1))))) (* (sqrt (/ 1 x)) (* y (sqrt -1))))))
(.f64 (neg.f64 x) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* y (* (pow z 2) (sqrt -1))))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (* z (sqrt -1))))) (* (sqrt (/ 1 x)) (* y (sqrt -1)))))))
(.f64 (neg.f64 x) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) z) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* y (* (pow z 2) (sqrt -1))))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* y (* (pow z 3) (sqrt -1))))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (* z (sqrt -1))))) (* (sqrt (/ 1 x)) (* y (sqrt -1))))))))
(.f64 (neg.f64 x) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) z) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 z #s(literal 3 binary64))) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))
(* -1 (* x (+ (* -1 (/ (* (pow y 2) z) x)) (pow y 2))))
(.f64 (.f64 (*.f64 y y) (+.f64 (/.f64 z x) #s(literal -1 binary64))) x)
(* -1 (* x (+ y (* -1 (/ (* y z) x)))))
(.f64 (-.f64 (/.f64 (.f64 z y) x) y) x)
x
(+ x (* y (- z x)))
(fma.f64 (-.f64 z x) y x)
(+ x (* -1 (* x y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
1
#s(literal 1 binary64)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(* y (sqrt (- z x)))
(*.f64 (sqrt.f64 (-.f64 z x)) y)
(* (pow y 2) (- z x))
(.f64 (.f64 (-.f64 z x) y) y)
(* y (- z x))
(*.f64 (-.f64 z x) y)
(* y (- (+ z (/ x y)) x))
(*.f64 (-.f64 (+.f64 (/.f64 x y) z) x) y)
(* y (+ (* -1 x) (/ x y)))
(*.f64 (-.f64 (/.f64 x y) x) y)
(* -1 y)
(neg.f64 y)
(* y (- (/ 1 y) 1))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) y)
(* -1 (* y (+ (* -1 (- z x)) (* -1 (/ x y)))))
(*.f64 (-.f64 (+.f64 (/.f64 x y) z) x) y)
(* -1 (* y (+ x (* -1 (/ x y)))))
(*.f64 (-.f64 (/.f64 x y) x) y)
(* -1 (* y (- 1 (/ 1 y))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (neg.f64 y))
(* -1 (* y (- z x)))
(*.f64 (neg.f64 (-.f64 z x)) y)
(* -1 (* y (- (+ z (* -1 (/ x y))) x)))
(*.f64 (-.f64 (-.f64 z (/.f64 x y)) x) (neg.f64 y))
(* -1 (* y (sqrt (- z x))))
(*.f64 (sqrt.f64 (-.f64 z x)) (neg.f64 y))
(+ x (+ (* -1 (* x y)) (* y z)))
(fma.f64 (-.f64 z x) y x)
(+ (* 1/2 (* (sqrt (/ 1 x)) (/ z (sqrt -1)))) (* (sqrt x) (sqrt -1)))
(fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 z (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)))
(+ (* z (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ z (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))))) (* (sqrt x) (sqrt -1)))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (/.f64 z (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))) z (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)))
(+ (* z (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (* z (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ z (pow (sqrt -1) 5)))))))) (* (sqrt x) (sqrt -1)))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) (/.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/8 binary64))) z (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))) z (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)))
(- z x)
(-.f64 z x)
(+ (* 1/2 (* (sqrt (/ 1 x)) (/ (* y z) (sqrt -1)))) (* (sqrt x) (* y (sqrt -1))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 z (sqrt.f64 #s(literal -1 binary64))) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (.f64 (sqrt.f64 x) y) (sqrt.f64 #s(literal -1 binary64))))
(+ (* z (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* y z) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 x)) (/ y (sqrt -1)))))) (* (sqrt x) (* y (sqrt -1))))
(fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 (/.f64 z (sqrt.f64 #s(literal -1 binary64))) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))) z (.f64 (.f64 (sqrt.f64 x) y) (sqrt.f64 #s(literal -1 binary64))))
(+ (* z (+ (* 1/2 (* (sqrt (/ 1 x)) (/ y (sqrt -1)))) (* z (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ y (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (* y z) (pow (sqrt -1) 5)))))))) (* (sqrt x) (* y (sqrt -1))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) y) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/8 binary64) (.f64 (.f64 #s(literal 1/16 binary64) (.f64 (/.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) z (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) z (.f64 (.f64 (sqrt.f64 x) y) (sqrt.f64 #s(literal -1 binary64))))
(* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z))))
(.f64 (+.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) z) y) z)
(* z (+ (sqrt (/ 1 z)) (* -1/2 (* x (sqrt (/ 1 (pow z 3)))))))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) z)
(* z (+ (sqrt (/ 1 z)) (+ (* -1/2 (* x (sqrt (/ 1 (pow z 3))))) (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow z 5))))))))
(.f64 (fma.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) z)
(* z (+ (sqrt (/ 1 z)) (+ (* -1/2 (* x (sqrt (/ 1 (pow z 3))))) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow z 5))))) (* -1/16 (* (pow x 3) (sqrt (/ 1 (pow z 7)))))))))
(.f64 (-.f64 (fma.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 7 binary64)))))) z)
(* z (+ 1 (* -1 (/ x z))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) z)
(* z (+ (* -1/2 (* (* x y) (sqrt (/ 1 (pow z 3))))) (* y (sqrt (/ 1 z)))))
(.f64 (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) x) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)) z)
(* z (+ (* -1/2 (* (* x y) (sqrt (/ 1 (pow z 3))))) (+ (* -1/8 (* (* (pow x 2) y) (sqrt (/ 1 (pow z 5))))) (* y (sqrt (/ 1 z))))))
(.f64 (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) x) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y))) z)
(* z (+ (* -1/2 (* (* x y) (sqrt (/ 1 (pow z 3))))) (+ (* -1/8 (* (* (pow x 2) y) (sqrt (/ 1 (pow z 5))))) (+ (* -1/16 (* (* (pow x 3) y) (sqrt (/ 1 (pow z 7))))) (* y (sqrt (/ 1 z)))))))
(.f64 (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) x) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64)))) (fma.f64 (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) y) #s(literal -1/16 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 7 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)))) z)
(* z (+ (* -1 (/ (* x (pow y 2)) z)) (pow y 2)))
(.f64 (fma.f64 (.f64 y (/.f64 y z)) (neg.f64 x) (*.f64 y y)) z)
(* z (+ y (* -1 (/ (* x y) z))))
(*.f64 (fma.f64 (neg.f64 y) (/.f64 x z) y) z)
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1 (* x y))) z)))))
(.f64 (+.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) z) y) z)
(* -1 (* y (* z (pow (sqrt -1) 2))))
(*.f64 z y)
(* -1 (* z (+ (* -1 (/ (+ x (* x (* y (pow (sqrt -1) 2)))) z)) (* y (pow (sqrt -1) 2)))))
(.f64 (+.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) z) y) z)
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 z) #s(literal 1 binary64))
(* -1 (* z (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow z 3))))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))
(fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))))) z (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) z))
(* -1 (* z (+ (* -1/8 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow z 5))))) (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow z 3))))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))))
(.f64 (neg.f64 z) (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64)))))
(* -1 (* z (+ (* -1/8 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow z 5))))) (+ (* 1/16 (* (* (pow x 3) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow z 7))))) (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow z 3))))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))))
(.f64 (neg.f64 z) (fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/16 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 7 binary64)))) (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64))))))
(* -1 (* z (- (/ x z) 1)))
(*.f64 (neg.f64 z) (-.f64 (/.f64 x z) #s(literal 1 binary64)))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(*.f64 (sqrt.f64 z) y)
(* -1 (* z (+ (* 1/2 (* (* x (* y (pow (sqrt -1) 2))) (sqrt (/ 1 (pow z 3))))) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))
(fma.f64 (.f64 z #s(literal 1/2 binary64)) (.f64 (.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 z y)))
(* -1 (* z (+ (* -1/8 (* (* (pow x 2) (* y (pow (sqrt -1) 2))) (sqrt (/ 1 (pow z 5))))) (+ (* 1/2 (* (* x (* y (pow (sqrt -1) 2))) (sqrt (/ 1 (pow z 3))))) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))
(.f64 (neg.f64 z) (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 y) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (neg.f64 y)))))
(* -1 (* z (+ (* -1/8 (* (* (pow x 2) (* y (pow (sqrt -1) 2))) (sqrt (/ 1 (pow z 5))))) (+ (* 1/16 (* (* (pow x 3) (* y (pow (sqrt -1) 2))) (sqrt (/ 1 (pow z 7))))) (+ (* 1/2 (* (* x (* y (pow (sqrt -1) 2))) (sqrt (/ 1 (pow z 3))))) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))))
(.f64 (neg.f64 z) (fma.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 7 binary64)))) (neg.f64 y)) (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 y) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (neg.f64 y))))))
(* -1 (* z (+ (* -1 (pow y 2)) (/ (* x (pow y 2)) z))))
(.f64 (fma.f64 (.f64 y (/.f64 y z)) (neg.f64 x) (*.f64 y y)) z)
(* -1 (* z (+ (* -1 y) (/ (* x y) z))))
(*.f64 (fma.f64 (neg.f64 y) (/.f64 x z) y) z)

rewrite212.0ms (5.3%)

Memory

-20.9MiB live, 191.1MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	82
0	30	88
1	112	80
2	688	71
3	7821	71
0	8019	71

Stop Event

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

Counts

12 → 526

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 (sqrt.f64 (-.f64 z x)) (sqrt.f64 (.f64 (.f64 (-.f64 z x) y) y)) x)
(sqrt.f64 (-.f64 z x))
(-.f64 z x)
(sqrt.f64 (.f64 (.f64 (-.f64 z x) y) y))
(fma.f64 (-.f64 z x) y x)
(.f64 (.f64 (-.f64 z x) y) y)
(*.f64 (-.f64 z x) y)

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

eval82.0ms (2%)

Memory: 12.1MiB live, 91.1MiB allocated
Compiler: Compiled 17 881 to 2 171 computations (87.9% saved)

prune12.0ms (0.3%)

Memory

-5.9MiB live, 32.4MiB allocated

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	584	4	588
Fresh	0	0	0
Picked	2	2	4
Done	0	0	0
Total	586	6	592

Accuracy

100.0%

Counts

592 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (-.f64 z x) y x)
▶	65.5%	(fma.f64 #s(approx (- z x) (neg.f64 x)) y x)
▶	92.9%	#s(approx (+ x (* y (- z x))) (fma.f64 (-.f64 (/.f64 (*.f64 z y) x) 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 75 to 55 computations (26.7% saved)

simplify248.0ms (6.1%)

Memory

36.0MiB live, 109.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 x)
cost-diff	0	#s(approx (- z x) (neg.f64 x))
cost-diff	0	(fma.f64 #s(approx (- z x) (neg.f64 x)) y x)
cost-diff	0	(/.f64 (*.f64 z y) x)
cost-diff	0	(-.f64 (/.f64 (*.f64 z y) x) y)
cost-diff	0	#s(approx (+ x (* y (- z x))) (fma.f64 (-.f64 (/.f64 (*.f64 z y) x) y) x x))
cost-diff	4	(fma.f64 (-.f64 (/.f64 (*.f64 z y) x) 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	23	128
0	34	128
1	51	128
2	76	128
3	113	128
4	177	128
5	309	128
6	606	128
7	1232	128
8	2130	122
9	2939	122
10	3453	122
11	4198	122
12	4569	122
13	4810	122
14	4968	122
15	4990	122
16	4990	122
17	5078	122
18	5454	122
19	5518	122
20	5518	122
21	5518	122
22	7878	122
0	8958	117

Stop Event

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

localize63.0ms (1.6%)

Memory

1.2MiB live, 84.3MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0.0	(neg.f64 x)
accuracy	0.00390625	(fma.f64 #s(approx (- z x) (neg.f64 x)) y x)
accuracy	29.05775505864636	#s(approx (- z x) (neg.f64 x))
accuracy	0.0	#s(approx (+ x (* y (- z x))) (fma.f64 (-.f64 (/.f64 (*.f64 z y) x) y) x x))
accuracy	0.0078125	(-.f64 (/.f64 (*.f64 z y) x) y)
accuracy	3.8363098985821833	(fma.f64 (-.f64 (/.f64 (*.f64 z y) x) y) x x)
accuracy	4.9286601689929075	(/.f64 (*.f64 z y) x)
accuracy	0.0	(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

52.0ms

256×

valid

Compiler

Compiled 88 to 20 computations (77.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-sub: 11.0ms (42% of total)

ival-mult: 7.0ms (26.7% of total)

ival-add: 3.0ms (11.5% of total)

ival-div: 2.0ms (7.6% of total)

ival-neg: 2.0ms (7.6% of total)

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

exact: 0.0ms (0% of total)

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

series13.0ms (0.3%)

Memory

-16.9MiB live, 21.2MiB allocated

Counts

14 → 45

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

Outputs
(* y z)
(+ (* x (+ 1 (* -1 y))) (* y z))
(* x (- 1 y))
(/ (* y z) x)
(/ (+ (* -1 (* x y)) (* y z)) x)
z
(+ z (* -1 x))
(* -1 x)
(* x (+ 1 (* -1 y)))
(* x (+ 1 (+ (* -1 y) (/ (* y z) x))))
(* x (- (+ 1 (/ (* y z) x)) y))
(* -1 y)
(- (/ (* y z) x) y)
(* 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 (* x (* y (- (/ z x) 1))))
(* y (- (/ z x) 1))
(* y (- z x))
(* y (- (+ z (/ x y)) x))
(* -1 (* x y))
(* y (+ (* -1 x) (/ x y)))
(* y (- (/ 1 y) 1))
(* x (* y (- (/ z x) 1)))
(* y (+ (* x (- (/ z x) 1)) (/ x y)))
(* -1 (* y (+ (* -1 (- z x)) (* -1 (/ x y)))))
(* -1 (* y (+ x (* -1 (/ x y)))))
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* x (* y (+ 1 (* -1 (/ z x))))))
(* -1 (* y (+ (* -1 (/ x y)) (* x (+ 1 (* -1 (/ z x)))))))
(* -1 (* y (+ 1 (* -1 (/ z x)))))
(+ x (+ (* -1 (* x y)) (* y z)))
(- z x)
(* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z))))
(* z (+ (* -1 (/ y z)) (/ y x)))
(* 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
3.0ms	x	@	inf	((+ x (* y (- z x))) (* (- 1 y) x) (- 1 y) (+ x (* y (- z x))) (* (- 1 y) x) (- 1 y) (neg y) (+ (* (- (/ (* z y) x) y) x) x) (+ x (* y (- z x))) (- (/ (* z y) x) y) (/ (* z y) x) (+ (* (- z x) y) x) (- z x) (neg x))
2.0ms	x	@	-inf	((+ x (* y (- z x))) (* (- 1 y) x) (- 1 y) (+ x (* y (- z x))) (* (- 1 y) x) (- 1 y) (neg y) (+ (* (- (/ (* z y) x) y) x) x) (+ x (* y (- z x))) (- (/ (* z y) x) y) (/ (* z y) x) (+ (* (- z x) y) x) (- z x) (neg 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) (+ (* (- (/ (* z y) x) y) x) x) (+ x (* y (- z x))) (- (/ (* z y) x) y) (/ (* z y) x) (+ (* (- z x) y) x) (- z x) (neg 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) (+ (* (- (/ (* z y) x) y) x) x) (+ x (* y (- z x))) (- (/ (* z y) x) y) (/ (* z y) x) (+ (* (- z x) y) x) (- z x) (neg 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) (+ (* (- (/ (* z y) x) y) x) x) (+ x (* y (- z x))) (- (/ (* z y) x) y) (/ (* z y) x) (+ (* (- z x) y) x) (- z x) (neg x))

simplify97.0ms (2.4%)

Memory

-9.6MiB live, 109.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	104	258
1	356	233
2	1211	233
3	3761	233
4	7126	233
0	8009	220

Stop Event

1×	iter limit
1×	node limit

Counts

45 → 43

Calls

Call 1

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

rewrite225.0ms (5.6%)

Memory

31.7MiB live, 258.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	116
0	34	116
1	119	116
2	803	116
0	8529	113

Stop Event

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

Counts

14 → 134

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

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

eval22.0ms (0.5%)

Memory: -18.3MiB live, 35.8MiB allocated
Compiler: Compiled 6 157 to 546 computations (91.1% saved)

prune4.0ms (0.1%)

Memory

13.3MiB live, 13.3MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	149	1	150
Fresh	0	0	0
Picked	0	4	4
Done	0	2	2
Total	149	7	156

Accuracy

100.0%

Counts

156 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (-.f64 z x) y x)
✓	65.5%	(fma.f64 #s(approx (- z x) (neg.f64 x)) y x)
✓	92.9%	#s(approx (+ x (* y (- z x))) (fma.f64 (-.f64 (/.f64 (*.f64 z y) x) y) x x))
▶	65.9%	#s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y))
✓	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 88 to 64 computations (27.3% saved)

simplify6.0ms (0.2%)

Memory

-32.5MiB live, 6.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	24
0	11	24
1	16	24
2	24	24
3	35	24
4	44	24
0	44	23

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize17.0ms (0.4%)

Memory

31.6MiB live, 31.6MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 z x)
accuracy	0.015625	(*.f64 (-.f64 z x) y)
accuracy	21.79500213404783	#s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y))

Samples

12.0ms

256×

valid

Compiler

Compiled 20 to 9 computations (55% saved)

Precisions

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

ival-mult: 3.0ms (52.8% of total)

ival-sub: 1.0ms (17.6% of total)

ival-add: 1.0ms (17.6% of total)

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

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

series3.0ms (0.1%)

Memory

5.5MiB live, 5.5MiB allocated

Counts

3 → 29

Calls

Call 1

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

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

simplify98.0ms (2.4%)

Memory

1.9MiB live, 77.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	140
1	266	137
2	894	137
3	2835	137
4	5273	137
5	7167	137
0	8042	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)

rewrite186.0ms (4.6%)

Memory

10.8MiB live, 164.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
0	11	21
1	39	21
2	277	21
3	3241	21
0	8363	20

Stop Event

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

Counts

3 → 133

Calls

Call 1

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

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

eval53.0ms (1.3%)

Memory: -38.3MiB live, 48.2MiB allocated
Compiler: Compiled 3 962 to 591 computations (85.1% saved)

prune5.0ms (0.1%)

Memory

12.6MiB live, 12.6MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	140	0	140
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	140	7	147

Accuracy

100.0%

Counts

147 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (-.f64 z x) y x)
✓	65.5%	(fma.f64 #s(approx (- z x) (neg.f64 x)) y x)
✓	92.9%	#s(approx (+ x (* y (- z x))) (fma.f64 (-.f64 (/.f64 (*.f64 z y) x) y) x x))
✓	65.9%	#s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y))
✓	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 210 to 102 computations (51.4% saved)

regimes41.0ms (1%)

Memory

-12.4MiB live, 26.8MiB 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))) (*.f64 (-.f64 z x) y))
(fma.f64 #s(approx (- z x) (neg.f64 x)) y x)
(fma.f64 (-.f64 z x) y x)
(+.f64 x (*.f64 y (-.f64 z x)))
#s(approx (+ x (* y (- z x))) (fma.f64 (-.f64 (/.f64 (*.f64 z y) x) y) x x))
(fma.f64 (sqrt.f64 (-.f64 z x)) (sqrt.f64 (.f64 (.f64 (-.f64 z x) y) y)) x)

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

Calls

4 calls:

30.0ms	x
4.0ms	z
3.0ms	y
3.0ms	(+.f64 x (*.f64 y (-.f64 z x)))

Results

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

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes10.0ms (0.3%)

Memory

18.5MiB live, 18.5MiB allocated

Counts

6 → 3

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
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)

regimes3.0ms (0.1%)

Memory

4.7MiB live, 4.7MiB allocated

Counts

5 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
89.2%	3	`y`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes4.0ms (0.1%)

Memory

8.0MiB live, 8.0MiB allocated

Counts

4 → 3

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	y
2.0ms	x

Results

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

Compiler

Compiled 2 to 6 computations (-200% saved)

regimes21.0ms (0.5%)

Memory

-23.4MiB live, 13.7MiB allocated

Counts

3 → 4

Calls

Call 1

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

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

15.0ms	x
2.0ms	z
2.0ms	y
2.0ms	(+.f64 x (*.f64 y (-.f64 z 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

3.3MiB live, 3.3MiB allocated

Counts

2 → 3

Calls

Call 1

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

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

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
61.8%	3	`y`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes5.0ms (0.1%)

Memory

10.5MiB live, 10.5MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

1.0ms	z
1.0ms	x
1.0ms	y
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)

bsearch54.0ms (1.4%)

Memory

1.8MiB live, 54.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
43.0ms	2.485392763320406e-5	321.72361334231385
9.0ms	-10413928.060061017	-31295.17586794127

Samples

21.0ms

272×

valid

Compiler

Compiled 384 to 318 computations (17.2% 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)

bsearch25.0ms (0.6%)

Memory

-34.4MiB live, 3.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.485392763320406e-5	321.72361334231385
23.0ms	-10413928.060061017	-31295.17586794127

Compiler

Compiled 452 to 369 computations (18.4% saved)

bsearch25.0ms (0.6%)

Memory

27.5MiB live, 27.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	1.7321896181309536e-80	1.5035656436744778e-75
12.0ms	-3.826610402940076e-50	-6.770277778533557e-60

Samples

12.0ms

304×

valid

Compiler

Compiled 466 to 392 computations (15.9% saved)

Precisions

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

ival-sub: 2.0ms (38.9% of total)

ival-mult: 2.0ms (38.9% of total)

ival-add: 1.0ms (19.5% of total)

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

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

bsearch41.0ms (1%)

Memory

9.1MiB live, 45.6MiB 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
22.0ms	-31295.17586794127	-1.4524613088007364e-6

Samples

15.0ms

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 (30.1% of total)

ival-add: 2.0ms (30.1% of total)

ival-mult: 2.0ms (30.1% of total)

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

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

bsearch19.0ms (0.5%)

Memory

-14.6MiB live, 21.7MiB 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
17.0ms	-1.05994409102362e-10	-1.4652059201823833e-31

Samples

11.0ms

176×

valid

Compiler

Compiled 504 to 430 computations (14.7% saved)

Precisions

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

ival-sub: 1.0ms (32.6% of total)

ival-add: 1.0ms (32.6% of total)

ival-mult: 1.0ms (32.6% of total)

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

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

simplify12.0ms (0.3%)

Memory

19.8MiB live, 19.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	221
1	78	221
2	88	221
3	99	221
4	108	221

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (-.f64 z x) y x)
(if (<=.f64 y #s(literal -850000 binary64)) #s(approx (+ x (* y (- z x))) (.f64 (-.f64 z x) y)) (if (<=.f64 y #s(literal 1080863910568919/2251799813685248 binary64)) (fma.f64 #s(approx (- z x) (neg.f64 x)) y x) #s(approx (+ x ( y (- z x))) (*.f64 (-.f64 z x) y))))
(if (<=.f64 y #s(literal -850000 binary64)) #s(approx (+ x (* y (- z x))) (.f64 (-.f64 z x) y)) (if (<=.f64 y #s(literal 1080863910568919/2251799813685248 binary64)) #s(approx (+ x ( y (- z x))) (.f64 (-.f64 #s(literal 1 binary64) y) x)) #s(approx (+ x ( y (- z x))) (*.f64 (-.f64 z x) y))))
(if (<=.f64 x #s(literal -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 (+ x (* y (- z x))) (.f64 (-.f64 z x) y)) (if (<=.f64 y #s(literal 1080863910568919/2251799813685248 binary64)) (fma.f64 #s(approx (- z x) (neg.f64 x)) y x) #s(approx (+ x ( y (- z x))) (*.f64 (-.f64 z x) y))))
(if (or (<=.f64 y #s(literal -850000 binary64)) (not (<=.f64 y #s(literal 1080863910568919/2251799813685248 binary64)))) #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) (fma.f64 #s(approx (- z x) (neg.f64 x)) y x))
(if (<=.f64 y #s(literal -850000 binary64)) #s(approx (+ x (* y (- z x))) (.f64 (-.f64 z x) y)) (if (<=.f64 y #s(literal 1080863910568919/2251799813685248 binary64)) #s(approx (+ x ( y (- z x))) (.f64 (-.f64 #s(literal 1 binary64) y) x)) #s(approx (+ x ( y (- z x))) (*.f64 (-.f64 z x) y))))
(if (or (<=.f64 y #s(literal -850000 binary64)) (not (<=.f64 y #s(literal 1080863910568919/2251799813685248 binary64)))) #s(approx (+ x (* y (- z x))) (.f64 (-.f64 z x) y)) #s(approx (+ x ( y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)))
(if (<=.f64 x #s(literal -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 (or (<=.f64 x #s(literal -6151454740732423/904625697166532776746648320380374280103671755200316906558262375061821325312 binary64)) (not (<=.f64 x #s(literal 6274461918017673/266998379490113760299377713271194014325338065294581596243380200977777465722580068752870260867072 binary64)))) #s(approx (+ x (* y (- z x))) (.f64 (-.f64 #s(literal 1 binary64) y) x)) #s(approx (+ x ( y (- z x))) (*.f64 z y)))
(if (<=.f64 y #s(literal -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))))
(if (or (<=.f64 y #s(literal -6437288204283977/2475880078570760549798248448 binary64)) (not (<=.f64 y #s(literal 6686066773453359/431359146674410236714672241392314090778194310760649159697657763987456 binary64)))) #s(approx (+ x (* y (- z x))) (.f64 z y)) #s(approx (+ x ( y (- z x))) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)))
#s(approx (+ x (* y (- z x))) (*.f64 z y))

soundness1.0s (25.7%)

Memory

-24.4MiB live, 448.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	104	258
1	356	233
2	1211	233
3	3761	233
4	7126	233
0	8009	220
0	6	15
0	9	15
1	37	15
2	275	15
3	3239	15
0	8340	14
0	400	1815
1	1428	1693
2	6074	1668
0	8492	1597
0	73	191
1	266	137
2	894	137
3	2847	137
4	5287	137
5	7163	137
0	8030	128

Stop Event

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

Compiler

Compiled 353 to 183 computations (48.2% saved)

preprocess59.0ms (1.5%)

Memory: 7.1MiB live, 60.6MiB allocated
Compiler: Compiled 456 to 126 computations (72.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

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

start0.0ms (0%)

analyze0.0ms (0%)

sample690.0ms (17.1%)

explain66.0ms (1.6%)

preprocess20.0ms (0.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize15.0ms (0.4%)

series10.0ms (0.2%)

simplify102.0ms (2.5%)

rewrite163.0ms (4%)

eval26.0ms (0.6%)

prune4.0ms (0.1%)

simplify9.0ms (0.2%)

localize43.0ms (1.1%)

series28.0ms (0.7%)

simplify147.0ms (3.6%)

rewrite212.0ms (5.3%)

eval82.0ms (2%)

prune12.0ms (0.3%)

simplify248.0ms (6.1%)

localize63.0ms (1.6%)

series13.0ms (0.3%)

simplify97.0ms (2.4%)

rewrite225.0ms (5.6%)

eval22.0ms (0.5%)

prune4.0ms (0.1%)

simplify6.0ms (0.2%)

localize17.0ms (0.4%)

series3.0ms (0.1%)

simplify98.0ms (2.4%)

rewrite186.0ms (4.6%)

eval53.0ms (1.3%)

prune5.0ms (0.1%)

regimes41.0ms (1%)

regimes10.0ms (0.3%)

regimes3.0ms (0.1%)

regimes4.0ms (0.1%)

regimes21.0ms (0.5%)

regimes2.0ms (0%)

regimes5.0ms (0.1%)

bsearch54.0ms (1.4%)

bsearch25.0ms (0.6%)

bsearch25.0ms (0.6%)

bsearch41.0ms (1%)

bsearch19.0ms (0.5%)

simplify12.0ms (0.3%)

soundness1.0s (25.7%)

preprocess59.0ms (1.5%)

end0.0ms (0%)

Profiling

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