Metrics for Data.Colour.RGBSpace.HSV:hsv from colour-2.3.3, I

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze1.0ms (0%)

Memory

1.8MiB live, 1.8MiB 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 9 computations (0% saved)

sample1.4s (20%)

Memory

29.0MiB live, 1 133.7MiB allocated

Samples

989.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 654.0ms

ival-mult: 534.0ms (81.7% of total)

ival-sub: 105.0ms (16.1% of total)

ival-true: 6.0ms (0.9% of total)

exact: 5.0ms (0.8% of total)

ival-assert: 4.0ms (0.6% of total)

Bogosity

explain220.0ms (3.2%)

Memory

-36.5MiB live, 154.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
11	-	-	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))`
0	-	-	`y`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(*.f64 y z)`
0	-	-	`z`
0	-	-	`(-.f64 #s(literal 1 binary64) (*.f64 y z))`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`*.f64`	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))`	*no**	11	0

Confusion

	Predicted +	Predicted -
+	11	0
-	0	245

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	11	0	0
-	0	0	245

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	245
1	11

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

65.0ms

512×

valid

Compiler

Compiled 49 to 25 computations (49% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-mult: 42.0ms (89.8% of total)

ival-sub: 3.0ms (6.4% of total)

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

exact: 0.0ms (0% of total)

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

preprocess48.0ms (0.7%)

Memory

43.5MiB live, 43.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	70
1	66	65
2	158	63
3	317	63
4	600	63
5	805	63
6	990	63
7	1138	63
8	1177	63
9	1177	63
0	7	7
0	10	7
1	17	7
2	32	7
3	69	7
4	165	7
5	341	7
6	431	7
7	512	7
8	548	7
0	548	7

Stop Event

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

Calls

Call 1

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

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

Symmetry

(negabs x)

(sort y z)

Compiler

Compiled 7 to 7 computations (0% 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
▶	95.8%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))

Compiler

Compiled 7 to 7 computations (0% saved)

simplify52.0ms (0.8%)

Memory

-56.0MiB live, 4.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
0	10	19
1	17	19
2	32	19
3	69	19
4	165	19
5	341	19
6	431	19
7	512	19
8	548	19
0	548	19

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize32.0ms (0.5%)

Memory

24.5MiB live, 24.5MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 #s(literal 1 binary64) (*.f64 y z))
accuracy	0.0	(*.f64 y z)
accuracy	2.665300157546656	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))

Samples

23.0ms

256×

valid

Compiler

Compiled 21 to 9 computations (57.1% saved)

Precisions

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

ival-mult: 7.0ms (70.2% of total)

ival-sub: 2.0ms (20.1% of total)

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

exact: 0.0ms (0% of total)

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

series16.0ms (0.2%)

Memory

17.6MiB live, 17.6MiB allocated

Counts

3 → 16

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	z	@	inf	((* x (- 1 (* y z))) (- 1 (* y z)) (* y z))
2.0ms	y	@	0	((* x (- 1 (* y z))) (- 1 (* y z)) (* y z))
2.0ms	x	@	0	((* x (- 1 (* y z))) (- 1 (* y z)) (* y z))
2.0ms	x	@	inf	((* x (- 1 (* y z))) (- 1 (* y z)) (* y z))
2.0ms	y	@	-inf	((* x (- 1 (* y z))) (- 1 (* y z)) (* y z))

simplify314.0ms (4.6%)

Memory

-23.7MiB live, 164.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	82
1	144	82
2	379	82
3	1023	82
4	2458	82
5	5906	82
6	7796	82
0	8434	82

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 15

Calls

Call 1

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

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

rewrite286.0ms (4.2%)

Memory

-7.3MiB live, 190.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
0	10	15
1	31	15
2	178	15
3	1456	15
0	9033	13

Stop Event

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

Counts

3 → 385

Calls

Call 1

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

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

eval46.0ms (0.7%)

Memory: 26.6MiB live, 72.2MiB allocated
Compiler: Compiled 11 122 to 1 216 computations (89.1% saved)

prune11.0ms (0.2%)

Memory

-13.4MiB live, 31.7MiB allocated

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	384	7	391
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	384	8	392

Accuracy

100.0%

Counts

392 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	93.8%	(fma.f64 (*.f64 x (neg.f64 y)) z x)
▶	92.8%	(fma.f64 (*.f64 x z) (neg.f64 y) x)
	74.0%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64))) x) (fma.f64 z y #s(literal 1 binary64)))
	76.2%	(.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 (neg.f64 z)) y) (.f64 (neg.f64 (neg.f64 z)) y))) (fma.f64 z y #s(literal 1 binary64))))
▶	51.2%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (.f64 z y)) (sqrt.f64 (.f64 z y)))))
✓	95.8%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))
▶	45.0%	(.f64 x #s(approx (- 1 ( y z)) (*.f64 (neg.f64 y) z)))
▶	53.2%	(.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64)))

Compiler

Compiled 171 to 133 computations (22.2% saved)

simplify146.0ms (2.2%)

Memory

-16.3MiB live, 126.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 (*.f64 z y))
cost-diff	0	(-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (.f64 z y)) (sqrt.f64 (*.f64 z y))))
cost-diff	0	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (.f64 z y)) (sqrt.f64 (.f64 z y)))))
cost-diff	6	(.f64 (sqrt.f64 (.f64 z y)) (sqrt.f64 (*.f64 z y)))
cost-diff	0	(neg.f64 y)
cost-diff	0	(*.f64 x z)
cost-diff	0	(fma.f64 (*.f64 x z) (neg.f64 y) x)
cost-diff	0	(neg.f64 y)
cost-diff	0	(*.f64 (neg.f64 y) z)
cost-diff	0	#s(approx (- 1 (* y z)) (*.f64 (neg.f64 y) z))
cost-diff	0	(.f64 x #s(approx (- 1 ( y z)) (*.f64 (neg.f64 y) z)))
cost-diff	0	#s(approx (- 1 (* y z)) #s(literal 1 binary64))
cost-diff	0	(.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64)))
cost-diff	0	(neg.f64 y)
cost-diff	0	(*.f64 x (neg.f64 y))
cost-diff	0	(fma.f64 (*.f64 x (neg.f64 y)) z x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	124
0	36	106
1	67	106
2	127	106
3	231	106
4	389	106
5	543	106
6	682	106
7	852	106
8	999	106
9	1286	106
10	2321	106
11	3574	106
12	4763	106
13	7818	106
0	8023	106

Stop Event

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

Calls

Call 1

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

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

localize50.0ms (0.7%)

Memory

38.8MiB live, 83.6MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 z y)
accuracy	0.20150375976844204	(.f64 (sqrt.f64 (.f64 z y)) (sqrt.f64 (*.f64 z y)))
accuracy	1.6700282504153454	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (.f64 z y)) (sqrt.f64 (.f64 z y)))))
accuracy	7.780916529771927	(sqrt.f64 (*.f64 z y))
accuracy	0.0	(*.f64 x z)
accuracy	0.0	(neg.f64 y)
accuracy	2.9604162075736578	(fma.f64 (*.f64 x z) (neg.f64 y) x)
accuracy	0.0	(*.f64 (neg.f64 y) z)
accuracy	0.0	(neg.f64 y)
accuracy	1.6700282504153454	(.f64 x #s(approx (- 1 ( y z)) (*.f64 (neg.f64 y) z)))
accuracy	17.087045265874693	#s(approx (- 1 (* y z)) (*.f64 (neg.f64 y) z))
accuracy	1.6700282504153454	(.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64)))
accuracy	14.15481302722902	#s(approx (- 1 (* y z)) #s(literal 1 binary64))
accuracy	0.0	(*.f64 x (neg.f64 y))
accuracy	0.0	(neg.f64 y)
accuracy	2.4765916069982934	(fma.f64 (*.f64 x (neg.f64 y)) z x)

Samples

20.0ms	125×	0	valid
18.0ms	131×	0	invalid

Compiler

Compiled 114 to 22 computations (80.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-mult: 14.0ms (58.6% of total)

ival-neg: 4.0ms (16.7% of total)

ival-sub: 2.0ms (8.4% of total)

ival-add: 2.0ms (8.4% of total)

ival-sqrt: 2.0ms (8.4% of total)

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

exact: 0.0ms (0% of total)

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

series21.0ms (0.3%)

Memory

-5.9MiB live, 38.2MiB allocated

Counts

15 → 30

Calls

Call 1

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

Outputs
(* x (+ 1 (* -1 (* y z))))
(* -1 (* x y))
(* x (- 1 (* y z)))
(* x z)
(* -1 (* x (- (* y z) 1)))
x
(+ x (* -1 (* x (* y z))))
(* -1 y)
1
(+ 1 (* -1 (* y z)))
(* -1 (* y z))
(* y z)
(sqrt (* y z))
(* -1 (* x (* y z)))
(* y (+ (* -1 (* x z)) (/ x y)))
(* y (- (/ 1 y) z))
(* -1 (* y (+ (* -1 (/ x y)) (* x z))))
(* y (+ (* -1 z) (/ 1 y)))
(* -1 (* y (* z (pow (sqrt -1) 2))))
(* x (* y (* z (pow (sqrt -1) 2))))
(* -1 (* y (+ (* -1 (* x (* z (pow (sqrt -1) 2)))) (* -1 (/ x y)))))
(* y (* z (pow (sqrt -1) 2)))
(* y (+ (* z (pow (sqrt -1) 2)) (/ 1 y)))
(* -1 (* (sqrt (* y z)) (pow (sqrt -1) 2)))
(* z (+ (* -1 (* x y)) (/ x z)))
(* z (- (/ 1 z) y))
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(* z (+ (* -1 y) (/ 1 z)))
(* -1 (* z (+ (* -1 (* x (* y (pow (sqrt -1) 2)))) (* -1 (/ x z)))))
(* z (+ (* y (pow (sqrt -1) 2)) (/ 1 z)))

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	x	@	-inf	((+ (* (* x (neg y)) z) x) (* x (neg y)) (neg y) (* x (- 1 (* y z))) (- 1 (* y z)) (* x (- 1 (* y z))) (- 1 (* y z)) (* (neg y) z) (+ (* (* x z) (neg y)) x) (* x z) (* (sqrt (* z y)) (sqrt (* z y))) (* x (- 1 (* (sqrt (* z y)) (sqrt (* z y))))) (- 1 (* (sqrt (* z y)) (sqrt (* z y)))) (sqrt (* z y)) (* z y))
3.0ms	y	@	0	((+ (* (* x (neg y)) z) x) (* x (neg y)) (neg y) (* x (- 1 (* y z))) (- 1 (* y z)) (* x (- 1 (* y z))) (- 1 (* y z)) (* (neg y) z) (+ (* (* x z) (neg y)) x) (* x z) (* (sqrt (* z y)) (sqrt (* z y))) (* x (- 1 (* (sqrt (* z y)) (sqrt (* z y))))) (- 1 (* (sqrt (* z y)) (sqrt (* z y)))) (sqrt (* z y)) (* z y))
3.0ms	y	@	-inf	((+ (* (* x (neg y)) z) x) (* x (neg y)) (neg y) (* x (- 1 (* y z))) (- 1 (* y z)) (* x (- 1 (* y z))) (- 1 (* y z)) (* (neg y) z) (+ (* (* x z) (neg y)) x) (* x z) (* (sqrt (* z y)) (sqrt (* z y))) (* x (- 1 (* (sqrt (* z y)) (sqrt (* z y))))) (- 1 (* (sqrt (* z y)) (sqrt (* z y)))) (sqrt (* z y)) (* z y))
2.0ms	z	@	-inf	((+ (* (* x (neg y)) z) x) (* x (neg y)) (neg y) (* x (- 1 (* y z))) (- 1 (* y z)) (* x (- 1 (* y z))) (- 1 (* y z)) (* (neg y) z) (+ (* (* x z) (neg y)) x) (* x z) (* (sqrt (* z y)) (sqrt (* z y))) (* x (- 1 (* (sqrt (* z y)) (sqrt (* z y))))) (- 1 (* (sqrt (* z y)) (sqrt (* z y)))) (sqrt (* z y)) (* z y))
2.0ms	y	@	inf	((+ (* (* x (neg y)) z) x) (* x (neg y)) (neg y) (* x (- 1 (* y z))) (- 1 (* y z)) (* x (- 1 (* y z))) (- 1 (* y z)) (* (neg y) z) (+ (* (* x z) (neg y)) x) (* x z) (* (sqrt (* z y)) (sqrt (* z y))) (* x (- 1 (* (sqrt (* z y)) (sqrt (* z y))))) (- 1 (* (sqrt (* z y)) (sqrt (* z y)))) (sqrt (* z y)) (* z y))

simplify143.0ms (2.1%)

Memory

-9.0MiB live, 136.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	150
1	247	150
2	762	150
3	1761	150
4	4138	150
5	6876	150
0	8090	150

Stop Event

1×	iter limit
1×	node limit

Counts

30 → 29

Calls

Call 1

Inputs
(* x (+ 1 (* -1 (* y z))))
(* -1 (* x y))
(* x (- 1 (* y z)))
(* x z)
(* -1 (* x (- (* y z) 1)))
x
(+ x (* -1 (* x (* y z))))
(* -1 y)
1
(+ 1 (* -1 (* y z)))
(* -1 (* y z))
(* y z)
(sqrt (* y z))
(* -1 (* x (* y z)))
(* y (+ (* -1 (* x z)) (/ x y)))
(* y (- (/ 1 y) z))
(* -1 (* y (+ (* -1 (/ x y)) (* x z))))
(* y (+ (* -1 z) (/ 1 y)))
(* -1 (* y (* z (pow (sqrt -1) 2))))
(* x (* y (* z (pow (sqrt -1) 2))))
(* -1 (* y (+ (* -1 (* x (* z (pow (sqrt -1) 2)))) (* -1 (/ x y)))))
(* y (* z (pow (sqrt -1) 2)))
(* y (+ (* z (pow (sqrt -1) 2)) (/ 1 y)))
(* -1 (* (sqrt (* y z)) (pow (sqrt -1) 2)))
(* z (+ (* -1 (* x y)) (/ x z)))
(* z (- (/ 1 z) y))
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(* z (+ (* -1 y) (/ 1 z)))
(* -1 (* z (+ (* -1 (* x (* y (pow (sqrt -1) 2)))) (* -1 (/ x z)))))
(* z (+ (* y (pow (sqrt -1) 2)) (/ 1 z)))

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

rewrite185.0ms (2.7%)

Memory

-6.3MiB live, 289.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	105
0	36	89
1	127	89
2	561	84
3	5322	84
0	8132	76

Stop Event

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

Counts

15 → 748

Calls

Call 1

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

Outputs
(.f64 (/.f64 (.f64 x (-.f64 (.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) x) x)) (-.f64 (pow.f64 (.f64 (.f64 y x) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (.f64 x (fma.f64 (fma.f64 z y #s(literal 1 binary64)) x (.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) x))))
(.f64 (/.f64 (.f64 x (-.f64 (.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) x) x)) (.f64 x (-.f64 (.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) x) x))) (.f64 (fma.f64 z y #s(literal 1 binary64)) x))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 y x) z) #s(literal 3 binary64))) (-.f64 (pow.f64 (.f64 (.f64 y x) z) #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 (fma.f64 z y #s(literal 1 binary64)) x) x) #s(literal 2 binary64)))) (.f64 x (-.f64 (.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) x) (*.f64 (fma.f64 z y #s(literal 1 binary64)) x))))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 y x) z) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 z y #s(literal 1 binary64)) x) x) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 y x) z) #s(literal 6 binary64)))) (fma.f64 (.f64 (.f64 (fma.f64 z y #s(literal 1 binary64)) x) x) (.f64 x (fma.f64 (fma.f64 z y #s(literal 1 binary64)) x (.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) x))) (pow.f64 (.f64 (.f64 y x) z) #s(literal 4 binary64))))
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(+.f64 (cosh.f64 (.f64 (log.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64))) #s(literal 1/4 binary64))) (sinh.f64 (.f64 (log.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64))) #s(literal 1/4 binary64))))
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 (.f64 z y)))) (sinh.f64 (log.f64 (sqrt.f64 (.f64 z y)))))
(.f64 (.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) z)) (sqrt.f64 y))
(.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 (sqrt.f64 z) y))
(.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (.f64 z y))) (sqrt.f64 (.f64 z y)))
(.f64 (.f64 #s(literal -1 binary64) z) y)
(.f64 (.f64 #s(literal -1 binary64) y) z)
(.f64 (.f64 (sqrt.f64 (*.f64 z y)) (neg.f64 (sqrt.f64 z))) (sqrt.f64 y))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 y) z)) (sqrt.f64 y))
(.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 (sqrt.f64 z) y))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 z)) y)
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 y)) z)
(*.f64 (neg.f64 (neg.f64 z)) y)
(.f64 (fabs.f64 (.f64 (sqrt.f64 y) z)) (sqrt.f64 y))
(*.f64 (fabs.f64 z) (fabs.f64 y))
(*.f64 (fabs.f64 y) (fabs.f64 z))
(.f64 (pow.f64 (.f64 z y) #s(literal 3/4 binary64)) (pow.f64 (*.f64 z y) #s(literal 1/4 binary64)))
(.f64 (.f64 (sqrt.f64 z) y) (sqrt.f64 z))
(.f64 (.f64 (sqrt.f64 y) z) (*.f64 (sqrt.f64 y) #s(literal 1 binary64)))
(.f64 (.f64 (sqrt.f64 y) z) (neg.f64 (sqrt.f64 y)))
(.f64 (.f64 (sqrt.f64 y) z) (sqrt.f64 y))
(.f64 (neg.f64 (sqrt.f64 z)) (.f64 (sqrt.f64 z) y))
(.f64 #s(literal -1 binary64) (.f64 z y))
(*.f64 (neg.f64 z) (neg.f64 y))
(*.f64 (neg.f64 z) y)
(.f64 (pow.f64 (.f64 z y) #s(literal 1/4 binary64)) (pow.f64 (*.f64 z y) #s(literal 3/4 binary64)))
(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) z))
(.f64 (sqrt.f64 z) (.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 (*.f64 z y))))
(.f64 (sqrt.f64 z) (.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1 binary64)))
(.f64 (sqrt.f64 z) (neg.f64 (.f64 (sqrt.f64 z) y)))
(.f64 (sqrt.f64 z) (fabs.f64 (.f64 (sqrt.f64 z) y)))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) y))
(.f64 (sqrt.f64 (.f64 z y)) (sqrt.f64 (*.f64 z y)))
(.f64 (.f64 z y) #s(literal -1 binary64))
(.f64 (.f64 z y) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 z y))
(*.f64 z (neg.f64 y))
(*.f64 z y)
(*.f64 (neg.f64 y) (neg.f64 z))
(*.f64 (neg.f64 y) z)
(*.f64 y (neg.f64 (neg.f64 z)))
(*.f64 y (neg.f64 z))
(*.f64 y z)
(pow.f64 (pow.f64 (*.f64 z y) #s(literal 8 binary64)) #s(literal 1/8 binary64))
(pow.f64 (pow.f64 (*.f64 z y) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (*.f64 z y) #s(literal 1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 z y)) #s(literal 2 binary64))
(pow.f64 (*.f64 z y) #s(literal 1 binary64))
(neg.f64 (*.f64 z y))
(sqrt.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)))
(fabs.f64 (*.f64 z y))
(exp.f64 (/.f64 (log.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (/.f64 (.f64 (log.f64 (sqrt.f64 (.f64 z y))) #s(literal 4 binary64)) #s(literal 2 binary64)))
(exp.f64 (/.f64 (.f64 (log.f64 (.f64 z y)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (/.f64 (log.f64 (sqrt.f64 (.f64 z y))) #s(literal 2 binary64)) #s(literal 4 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (*.f64 z y))) #s(literal 1/2 binary64)) #s(literal 4 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 z y)) #s(literal 1/4 binary64)) #s(literal 4 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (*.f64 z y))) #s(literal 4 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 z y)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (/.f64 (log.f64 (.f64 z y)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (*.f64 z y))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 z y)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 z y) #s(literal 1/4 binary64))) #s(literal 4 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 z y) #s(literal 4 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 z y)) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (log.f64 (*.f64 z y)))
(+.f64 (cosh.f64 (.f64 (log.f64 (.f64 z y)) #s(literal 1 binary64))) (sinh.f64 (.f64 (log.f64 (.f64 z y)) #s(literal 1 binary64))))
(+.f64 (cosh.f64 (.f64 (log.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64))) #s(literal 1/2 binary64))) (sinh.f64 (.f64 (log.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(+.f64 (cosh.f64 (log.f64 (.f64 z y))) (sinh.f64 (log.f64 (.f64 z y))))

eval41.0ms (0.6%)

Memory: 25.5MiB live, 72.2MiB allocated
Compiler: Compiled 8 199 to 1 313 computations (84% saved)

prune57.0ms (0.8%)

Memory

-15.4MiB live, 30.4MiB allocated

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	423	0	423
Fresh	0	2	2
Picked	0	5	5
Done	0	1	1
Total	423	8	431

Accuracy

100.0%

Counts

431 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	93.8%	(fma.f64 (*.f64 x (neg.f64 y)) z x)
✓	92.8%	(fma.f64 (*.f64 x z) (neg.f64 y) x)
▶	74.0%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64))) x) (fma.f64 z y #s(literal 1 binary64)))
▶	76.2%	(.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 (neg.f64 z)) y) (.f64 (neg.f64 (neg.f64 z)) y))) (fma.f64 z y #s(literal 1 binary64))))
✓	51.2%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (.f64 z y)) (sqrt.f64 (.f64 z y)))))
✓	95.8%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))
✓	45.0%	(.f64 x #s(approx (- 1 ( y z)) (*.f64 (neg.f64 y) z)))
✓	53.2%	(.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64)))

Compiler

Compiled 89 to 70 computations (21.3% saved)

simplify133.0ms (2%)

Memory

15.7MiB live, 113.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 (*.f64 z y) #s(literal 2 binary64))
cost-diff	0	(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))
cost-diff	0	(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64))) x)
cost-diff	0	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64))) x) (fma.f64 z y #s(literal 1 binary64)))
cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 (neg.f64 z)) y) (*.f64 (neg.f64 (neg.f64 z)) y))) (fma.f64 z y #s(literal 1 binary64)))
cost-diff	0	(.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 (neg.f64 z)) y) (.f64 (neg.f64 (neg.f64 z)) y))) (fma.f64 z y #s(literal 1 binary64))))
cost-diff	2	(neg.f64 (neg.f64 z))
cost-diff	2	(.f64 (.f64 (neg.f64 (neg.f64 z)) y) (*.f64 (neg.f64 (neg.f64 z)) y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	127
0	31	99
1	70	99
2	169	99
3	493	99
4	1762	99
5	3526	99
6	4017	99
7	4971	99
8	5757	99
9	7384	99
0	8220	99

Stop Event

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

Calls

Call 1

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

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

localize115.0ms (1.7%)

Memory

-29.9MiB live, 63.1MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 z y)
accuracy	0.1796875	(pow.f64 (*.f64 z y) #s(literal 2 binary64))
accuracy	1.6500230232148407	(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64))) x)
accuracy	14.071670677471912	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64))) x) (fma.f64 z y #s(literal 1 binary64)))
accuracy	0.0	(neg.f64 z)
accuracy	0.1796875	(.f64 (.f64 (neg.f64 (neg.f64 z)) y) (*.f64 (neg.f64 (neg.f64 z)) y))
accuracy	2.665300157546656	(.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 (neg.f64 z)) y) (.f64 (neg.f64 (neg.f64 z)) y))) (fma.f64 z y #s(literal 1 binary64))))
accuracy	16.436196498920708	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 (neg.f64 z)) y) (*.f64 (neg.f64 (neg.f64 z)) y))) (fma.f64 z y #s(literal 1 binary64)))

Samples

104.0ms

256×

valid

Compiler

Compiled 134 to 20 computations (85.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 92.0ms

ival-mult: 43.0ms (46.8% of total)

ival-pow2: 40.0ms (43.5% of total)

ival-div: 3.0ms (3.3% of total)

ival-sub: 2.0ms (2.2% of total)

ival-neg: 2.0ms (2.2% of total)

ival-add: 1.0ms (1.1% of total)

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

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

exact: 0.0ms (0% of total)

series18.0ms (0.3%)

Memory

33.0MiB live, 33.0MiB allocated

Counts

10 → 28

Calls

Call 1

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

Outputs
(/ (* x (- 1 (* (pow y 2) (pow z 2)))) (+ 1 (* y z)))
(* x (- 1 (* (pow y 2) (pow z 2))))
(* (pow y 2) (pow z 2))
x
(+ x (* -1 (* x (* y z))))
1
(+ 1 (* -1 (* y z)))
(+ x (* -1 (* x (* (pow y 2) (pow z 2)))))
(+ 1 (* -1 (* (pow y 2) (pow z 2))))
(* y z)
(* -1 (* x (* y z)))
(* y (+ (* -1 (* x z)) (/ x y)))
(* -1 (* y z))
(* y (+ (* -1 z) (/ 1 y)))
(* -1 (* x (* (pow y 2) (pow z 2))))
(* (pow y 2) (+ (* -1 (* x (pow z 2))) (/ x (pow y 2))))
(* -1 (* (pow y 2) (pow z 2)))
(* (pow y 2) (- (/ 1 (pow y 2)) (pow z 2)))
(* -1 (* y (+ (* -1 (/ x y)) (* x z))))
(* -1 (* y (- z (/ 1 y))))
z
(* -1 z)
(* z (+ (* -1 (* x y)) (/ x z)))
(* z (+ (* -1 y) (/ 1 z)))
(* (pow z 2) (+ (* -1 (* x (pow y 2))) (/ x (pow z 2))))
(* (pow z 2) (- (/ 1 (pow z 2)) (pow y 2)))
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(* -1 (* z (- y (/ 1 z))))

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	((* (* (neg (neg z)) y) (* (neg (neg z)) y)) (neg (neg z)) (* x (/ (- 1 (* (* (neg (neg z)) y) (* (neg (neg z)) y))) (+ (* z y) 1))) (/ (- 1 (* (* (neg (neg z)) y) (* (neg (neg z)) y))) (+ (* z y) 1)) (/ (* (- 1 (pow (* z y) 2)) x) (+ (* z y) 1)) (* (- 1 (pow (* z y) 2)) x) (- 1 (pow (* z y) 2)) (pow (* z y) 2) (neg z) (* z y))
2.0ms	x	@	0	((* (* (neg (neg z)) y) (* (neg (neg z)) y)) (neg (neg z)) (* x (/ (- 1 (* (* (neg (neg z)) y) (* (neg (neg z)) y))) (+ (* z y) 1))) (/ (- 1 (* (* (neg (neg z)) y) (* (neg (neg z)) y))) (+ (* z y) 1)) (/ (* (- 1 (pow (* z y) 2)) x) (+ (* z y) 1)) (* (- 1 (pow (* z y) 2)) x) (- 1 (pow (* z y) 2)) (pow (* z y) 2) (neg z) (* z y))
2.0ms	z	@	inf	((* (* (neg (neg z)) y) (* (neg (neg z)) y)) (neg (neg z)) (* x (/ (- 1 (* (* (neg (neg z)) y) (* (neg (neg z)) y))) (+ (* z y) 1))) (/ (- 1 (* (* (neg (neg z)) y) (* (neg (neg z)) y))) (+ (* z y) 1)) (/ (* (- 1 (pow (* z y) 2)) x) (+ (* z y) 1)) (* (- 1 (pow (* z y) 2)) x) (- 1 (pow (* z y) 2)) (pow (* z y) 2) (neg z) (* z y))
2.0ms	z	@	-inf	((* (* (neg (neg z)) y) (* (neg (neg z)) y)) (neg (neg z)) (* x (/ (- 1 (* (* (neg (neg z)) y) (* (neg (neg z)) y))) (+ (* z y) 1))) (/ (- 1 (* (* (neg (neg z)) y) (* (neg (neg z)) y))) (+ (* z y) 1)) (/ (* (- 1 (pow (* z y) 2)) x) (+ (* z y) 1)) (* (- 1 (pow (* z y) 2)) x) (- 1 (pow (* z y) 2)) (pow (* z y) 2) (neg z) (* z y))
2.0ms	y	@	inf	((* (* (neg (neg z)) y) (* (neg (neg z)) y)) (neg (neg z)) (* x (/ (- 1 (* (* (neg (neg z)) y) (* (neg (neg z)) y))) (+ (* z y) 1))) (/ (- 1 (* (* (neg (neg z)) y) (* (neg (neg z)) y))) (+ (* z y) 1)) (/ (* (- 1 (pow (* z y) 2)) x) (+ (* z y) 1)) (* (- 1 (pow (* z y) 2)) x) (- 1 (pow (* z y) 2)) (pow (* z y) 2) (neg z) (* z y))

simplify218.0ms (3.2%)

Memory

-20.6MiB live, 123.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	204
1	231	191
2	661	191
3	2097	191
4	5524	191
0	8707	190

Stop Event

1×	iter limit
1×	node limit

Counts

28 → 26

Calls

Call 1

Inputs
(/ (* x (- 1 (* (pow y 2) (pow z 2)))) (+ 1 (* y z)))
(* x (- 1 (* (pow y 2) (pow z 2))))
(* (pow y 2) (pow z 2))
x
(+ x (* -1 (* x (* y z))))
1
(+ 1 (* -1 (* y z)))
(+ x (* -1 (* x (* (pow y 2) (pow z 2)))))
(+ 1 (* -1 (* (pow y 2) (pow z 2))))
(* y z)
(* -1 (* x (* y z)))
(* y (+ (* -1 (* x z)) (/ x y)))
(* -1 (* y z))
(* y (+ (* -1 z) (/ 1 y)))
(* -1 (* x (* (pow y 2) (pow z 2))))
(* (pow y 2) (+ (* -1 (* x (pow z 2))) (/ x (pow y 2))))
(* -1 (* (pow y 2) (pow z 2)))
(* (pow y 2) (- (/ 1 (pow y 2)) (pow z 2)))
(* -1 (* y (+ (* -1 (/ x y)) (* x z))))
(* -1 (* y (- z (/ 1 y))))
z
(* -1 z)
(* z (+ (* -1 (* x y)) (/ x z)))
(* z (+ (* -1 y) (/ 1 z)))
(* (pow z 2) (+ (* -1 (* x (pow y 2))) (/ x (pow z 2))))
(* (pow z 2) (- (/ 1 (pow z 2)) (pow y 2)))
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(* -1 (* z (- y (/ 1 z))))

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

rewrite364.0ms (5.4%)

Memory

23.0MiB live, 239.8MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	92
0	31	72
1	125	51
2	639	51
3	7745	51
0	8071	51

Stop Event

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

Counts

10 → 775

Calls

Call 1

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

Outputs
(.f64 (.f64 (*.f64 y z) (fabs.f64 y)) (fabs.f64 z))
(.f64 (.f64 (*.f64 y y) (fabs.f64 z)) (fabs.f64 z))
(.f64 (.f64 (*.f64 z z) (neg.f64 y)) (neg.f64 y))
(.f64 (.f64 (*.f64 z z) (fabs.f64 y)) (fabs.f64 y))
(.f64 (.f64 #s(literal 1 binary64) (.f64 y y)) (.f64 z z))
(.f64 (.f64 (*.f64 y z) (fabs.f64 z)) (fabs.f64 y))
(.f64 (.f64 (.f64 y z) (sqrt.f64 (.f64 y z))) (sqrt.f64 (*.f64 y z)))
(.f64 (.f64 (neg.f64 y) (fabs.f64 z)) (*.f64 (neg.f64 y) (fabs.f64 z)))
(.f64 (.f64 (fabs.f64 y) (neg.f64 z)) (*.f64 (fabs.f64 y) (neg.f64 z)))
(.f64 (.f64 (fabs.f64 y) z) (*.f64 (fabs.f64 y) z))
(.f64 (.f64 y (fabs.f64 z)) (*.f64 y (fabs.f64 z)))
(.f64 (.f64 (fabs.f64 z) (neg.f64 y)) (*.f64 (fabs.f64 z) (neg.f64 y)))
(.f64 (.f64 (fabs.f64 z) y) (*.f64 (fabs.f64 z) y))
(.f64 (.f64 (neg.f64 z) (fabs.f64 y)) (*.f64 (neg.f64 z) (fabs.f64 y)))
(.f64 (.f64 z (fabs.f64 y)) (*.f64 z (fabs.f64 y)))
(.f64 (.f64 (*.f64 y (neg.f64 z)) y) (neg.f64 z))
(.f64 (fabs.f64 (.f64 (*.f64 z z) y)) (fabs.f64 y))
(.f64 (fabs.f64 (.f64 (*.f64 y y) z)) (fabs.f64 z))
(.f64 (pow.f64 (.f64 (*.f64 z z) y) #s(literal 1 binary64)) y)
(.f64 (pow.f64 (.f64 (*.f64 y y) z) #s(literal 1 binary64)) z)
(.f64 (.f64 (*.f64 y (neg.f64 z)) z) (neg.f64 y))
(.f64 (sqrt.f64 (.f64 y z)) (.f64 (sqrt.f64 (.f64 y z)) (*.f64 y z)))
(.f64 (neg.f64 y) (.f64 (*.f64 y (neg.f64 z)) z))
(.f64 (fabs.f64 y) (.f64 (fabs.f64 z) (*.f64 y z)))
(.f64 (fabs.f64 y) (.f64 (fabs.f64 y) (*.f64 z z)))
(.f64 (fabs.f64 y) (fabs.f64 (.f64 (*.f64 z z) y)))
(.f64 (fabs.f64 z) (.f64 (fabs.f64 z) (*.f64 y y)))
(.f64 (fabs.f64 z) (.f64 (fabs.f64 y) (*.f64 y z)))
(.f64 (fabs.f64 z) (fabs.f64 (.f64 (*.f64 y y) z)))
(.f64 (.f64 (*.f64 y y) z) z)
(.f64 (.f64 (*.f64 z z) y) y)
(.f64 (.f64 y (neg.f64 z)) (*.f64 y (neg.f64 z)))
(.f64 (.f64 y y) (*.f64 z z))
(.f64 (.f64 z z) (.f64 (.f64 y y) #s(literal 1 binary64)))
(.f64 (.f64 z z) (*.f64 y y))
(.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64))
(.f64 (.f64 y z) (*.f64 y z))
(.f64 #s(literal 1 binary64) (pow.f64 (.f64 y z) #s(literal 2 binary64)))
(.f64 y (pow.f64 (.f64 (*.f64 z z) y) #s(literal 1 binary64)))
(.f64 y (.f64 (*.f64 z z) y))
(.f64 (neg.f64 z) (.f64 (*.f64 y (neg.f64 z)) y))
(.f64 z (pow.f64 (.f64 (*.f64 y y) z) #s(literal 1 binary64)))
(.f64 z (.f64 (*.f64 y y) z))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (*.f64 y z)))
(pow.f64 (*.f64 y (neg.f64 z)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 y z) #s(literal 2 binary64))
(/.f64 (cosh.f64 (-.f64 (log.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64))) (log.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64))))) (-.f64 (cosh.f64 (log.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (log.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64)))) (cosh.f64 (log.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64)))) (-.f64 (.f64 (sinh.f64 (log.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64))))) (.f64 (cosh.f64 (log.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64))))))))
(neg.f64 (neg.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64))))
(fma.f64 (cosh.f64 (log.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64)))) #s(literal 1 binary64) (.f64 (sinh.f64 (log.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (.f64 (sinh.f64 (log.f64 (.f64 y (neg.f64 z)))) (cosh.f64 (log.f64 (.f64 y (neg.f64 z))))) (cosh.f64 (log.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64)))))
(fma.f64 #s(literal 2 binary64) (.f64 (sinh.f64 (log.f64 (.f64 y z))) (cosh.f64 (log.f64 (.f64 y z)))) (cosh.f64 (log.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64)))))
(fma.f64 #s(literal 1 binary64) (cosh.f64 (log.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64)))) (.f64 #s(literal 1 binary64) (sinh.f64 (log.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64))))))
(sqrt.f64 (pow.f64 (*.f64 y z) #s(literal 4 binary64)))
(fabs.f64 (neg.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64))))
(fabs.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 y (neg.f64 z))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (.f64 (log.f64 (.f64 y (neg.f64 z))) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 (.f64 y (neg.f64 z))) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (.f64 (log.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64))) #s(literal 1 binary64))) (sinh.f64 (.f64 (log.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64))) #s(literal 1 binary64))))
(+.f64 (.f64 (cosh.f64 (log.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64)))) #s(literal 1 binary64)) (.f64 (sinh.f64 (log.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (cosh.f64 (log.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64))))) (.f64 #s(literal 1 binary64) (sinh.f64 (log.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64))))))
(+.f64 (sinh.f64 (log.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64)))) (cosh.f64 (log.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64)))))
(+.f64 (cosh.f64 (log.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 1/2 binary64)) (pow.f64 z #s(literal 1/2 binary64)))
(*.f64 #s(literal 1 binary64) z)
(*.f64 z #s(literal 1 binary64))
(pow.f64 z #s(literal 1 binary64))
(neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 z)))
(neg.f64 (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(neg.f64 (neg.f64 z))
(exp.f64 (*.f64 (log.f64 z) #s(literal 1 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 z) #s(literal 1 binary64))) (sinh.f64 (.f64 (log.f64 z) #s(literal 1 binary64))))
z
(.f64 (/.f64 (.f64 (/.f64 x (fma.f64 y z #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y z) #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y z) #s(literal 6 binary64)))) (fma.f64 (.f64 y z) (fma.f64 y z (pow.f64 (.f64 y z) #s(literal 3 binary64))) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (/.f64 x (fma.f64 y z #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y z) #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y z) #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 (/.f64 x (fma.f64 y z #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y z) #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 y z) #s(literal 8 binary64)) (pow.f64 (.f64 y z) #s(literal 4 binary64))))) (fma.f64 (.f64 y z) (fma.f64 y z (pow.f64 (*.f64 y z) #s(literal 3 binary64))) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (/.f64 x (fma.f64 y z #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y z) #s(literal 6 binary64)))) (+.f64 (pow.f64 (-.f64 (pow.f64 (.f64 y z) #s(literal 4 binary64)) (pow.f64 (.f64 y z) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y z) #s(literal 8 binary64))) (pow.f64 (.f64 y z) #s(literal 4 binary64))) (-.f64 (pow.f64 (.f64 y z) #s(literal 4 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (-.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 y (neg.f64 z) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y z) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 y z) (-.f64 (.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64))))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y z) #s(literal 2 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y z) #s(literal 2 binary64)))) (fma.f64 y (neg.f64 z) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y z) #s(literal 2 binary64))) x) (+.f64 #s(literal -1 binary64) (pow.f64 (.f64 y z) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 y z) (-.f64 (.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 x (tanh.f64 (log.f64 (.f64 y z)))) (-.f64 (.f64 y z) #s(literal 1 binary64)))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y z) #s(literal 2 binary64))) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y z) #s(literal 3 binary64))))) (fma.f64 (.f64 y z) (-.f64 (.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 x (-.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64))) (.f64 (-.f64 (.f64 y z) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))))
(.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y z) #s(literal 3 binary64)))) (.f64 (fma.f64 (.f64 y z) (-.f64 (.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y z) #s(literal 2 binary64)))))
(.f64 (tanh.f64 (log.f64 (.f64 y z))) (.f64 (-.f64 (.f64 y z) #s(literal 1 binary64)) x))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 (.f64 y z) #s(literal 3 binary64)))) (.f64 (fma.f64 (.f64 y z) (-.f64 (.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)) x))
(.f64 (neg.f64 x) (-.f64 (.f64 y z) #s(literal 1 binary64)))
(.f64 (/.f64 x (fma.f64 y z #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y z) #s(literal 2 binary64))))
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y z) #s(literal 4 binary64))) (/.f64 (/.f64 x (fma.f64 y z #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))))
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y z) #s(literal 4 binary64))) (/.f64 x (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y z) #s(literal 2 binary64))) (fma.f64 y z #s(literal 1 binary64)))))
(.f64 (-.f64 (.f64 y z) #s(literal 1 binary64)) (.f64 x (tanh.f64 (log.f64 (.f64 y z)))))
(.f64 (-.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x (fma.f64 y (neg.f64 z) #s(literal -1 binary64))))
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y z) #s(literal 6 binary64))) (/.f64 (/.f64 x (fma.f64 y z #s(literal 1 binary64))) (fma.f64 (.f64 y z) (fma.f64 y z (pow.f64 (.f64 y z) #s(literal 3 binary64))) #s(literal 1 binary64))))
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y z) #s(literal 6 binary64))) (/.f64 x (.f64 (fma.f64 (.f64 y z) (fma.f64 y z (pow.f64 (*.f64 y z) #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 y z #s(literal 1 binary64)))))
(.f64 (fma.f64 (.f64 y z) (-.f64 (.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y z) #s(literal 2 binary64))) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y z) #s(literal 3 binary64))))))
(*.f64 (fma.f64 y (neg.f64 z) #s(literal 1 binary64)) x)
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y z) #s(literal 2 binary64))) (/.f64 x (fma.f64 y z #s(literal 1 binary64))))
(*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64)))
(/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y z) #s(literal 2 binary64))) x) (-.f64 (.f64 y z) #s(literal 1 binary64))) (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y z) #s(literal 2 binary64))) x) (fma.f64 (.f64 y z) (-.f64 (.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y z) #s(literal 3 binary64))))
(/.f64 (*.f64 (pow.f64 (fma.f64 y (neg.f64 z) #s(literal 1 binary64)) #s(literal 2 binary64)) x) (fma.f64 y (neg.f64 z) #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 (fma.f64 y z #s(literal 1 binary64)) #s(literal -3 binary64)) (/.f64 (pow.f64 (.f64 y z) #s(literal 6 binary64)) (pow.f64 (fma.f64 y z #s(literal 1 binary64)) #s(literal 3 binary64)))) x) (fma.f64 (/.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (fma.f64 y z #s(literal 1 binary64))) (fma.f64 y (neg.f64 z) #s(literal 1 binary64)) (pow.f64 (fma.f64 y z #s(literal 1 binary64)) #s(literal -2 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y z) #s(literal 3 binary64))) x) (fma.f64 (*.f64 y z) (fma.f64 y z #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 (fma.f64 y z #s(literal 1 binary64)) (.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (fma.f64 y z #s(literal 1 binary64)))) x) (pow.f64 (fma.f64 y z #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (.f64 y z) #s(literal 4 binary64))) (/.f64 x (fma.f64 y z #s(literal 1 binary64)))) (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y z) #s(literal 6 binary64)))) (/.f64 x (fma.f64 y z #s(literal 1 binary64)))) (neg.f64 (fma.f64 (.f64 y z) (fma.f64 y z (pow.f64 (.f64 y z) #s(literal 3 binary64))) #s(literal 1 binary64))))
(/.f64 (.f64 (.f64 x (tanh.f64 (log.f64 (.f64 y z)))) (-.f64 (pow.f64 (.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y z) (fma.f64 y z #s(literal 1 binary64)) #s(literal 1 binary64)))
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(pow.f64 (*.f64 y z) #s(literal 2 binary64))
(/.f64 (cosh.f64 (-.f64 (log.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64))) (log.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64))))) (-.f64 (cosh.f64 (log.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (log.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64)))) (cosh.f64 (log.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64)))) (-.f64 (.f64 (sinh.f64 (log.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64))))) (.f64 (cosh.f64 (log.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64))))))))
(neg.f64 (neg.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64))))
(fma.f64 (cosh.f64 (log.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64)))) #s(literal 1 binary64) (.f64 (sinh.f64 (log.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (.f64 (sinh.f64 (log.f64 (.f64 y (neg.f64 z)))) (cosh.f64 (log.f64 (.f64 y (neg.f64 z))))) (cosh.f64 (log.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64)))))
(fma.f64 #s(literal 2 binary64) (.f64 (sinh.f64 (log.f64 (.f64 y z))) (cosh.f64 (log.f64 (.f64 y z)))) (cosh.f64 (log.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64)))))
(fma.f64 #s(literal 1 binary64) (cosh.f64 (log.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64)))) (.f64 #s(literal 1 binary64) (sinh.f64 (log.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64))))))
(sqrt.f64 (pow.f64 (*.f64 y z) #s(literal 4 binary64)))
(fabs.f64 (neg.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64))))
(fabs.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 y (neg.f64 z))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (.f64 (log.f64 (.f64 y (neg.f64 z))) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 (.f64 y (neg.f64 z))) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (.f64 (log.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64))) #s(literal 1 binary64))) (sinh.f64 (.f64 (log.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64))) #s(literal 1 binary64))))
(+.f64 (.f64 (cosh.f64 (log.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64)))) #s(literal 1 binary64)) (.f64 (sinh.f64 (log.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (cosh.f64 (log.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64))))) (.f64 #s(literal 1 binary64) (sinh.f64 (log.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64))))))
(+.f64 (sinh.f64 (log.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64)))) (cosh.f64 (log.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64)))))
(+.f64 (cosh.f64 (log.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64)))))
(neg.f64 z)
(.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 y z))) (sqrt.f64 (.f64 y z)))
(.f64 (.f64 #s(literal 1 binary64) (fabs.f64 y)) (fabs.f64 z))
(.f64 (.f64 #s(literal 1 binary64) (fabs.f64 z)) (fabs.f64 y))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 z)) (neg.f64 y))
(.f64 (neg.f64 (sqrt.f64 (.f64 y z))) (neg.f64 (sqrt.f64 (*.f64 y z))))
(*.f64 (neg.f64 (neg.f64 y)) z)
(*.f64 (fabs.f64 (fabs.f64 y)) (fabs.f64 (fabs.f64 z)))
(*.f64 (fabs.f64 (fabs.f64 z)) (fabs.f64 (fabs.f64 y)))
(.f64 (fabs.f64 (sqrt.f64 (.f64 y z))) (fabs.f64 (sqrt.f64 (*.f64 y z))))
(.f64 (sqrt.f64 (.f64 y (neg.f64 z))) (sqrt.f64 (*.f64 y (neg.f64 z))))
(.f64 (sqrt.f64 (.f64 (*.f64 z z) y)) (sqrt.f64 y))
(.f64 (sqrt.f64 y) (sqrt.f64 (.f64 (*.f64 z z) y)))
(.f64 (sqrt.f64 (.f64 (*.f64 y y) z)) (sqrt.f64 z))
(.f64 (sqrt.f64 z) (sqrt.f64 (.f64 (*.f64 y y) z)))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 z)))
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 y)))
(.f64 (pow.f64 (sqrt.f64 (.f64 y z)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (*.f64 y z)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 z) #s(literal 1 binary64)) (pow.f64 (neg.f64 y) #s(literal 1 binary64)))
(.f64 (sqrt.f64 (.f64 y z)) (.f64 (sqrt.f64 (.f64 y z)) #s(literal 1 binary64)))
(.f64 (sqrt.f64 (.f64 y z)) (sqrt.f64 (*.f64 y z)))
(*.f64 (neg.f64 y) (neg.f64 z))
(*.f64 (fabs.f64 y) (fabs.f64 z))
(*.f64 (fabs.f64 z) (fabs.f64 y))
(.f64 (.f64 y (neg.f64 z)) #s(literal -1 binary64))
(.f64 (.f64 y z) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 y z))
(*.f64 y z)
(.f64 (neg.f64 z) (.f64 (neg.f64 y) #s(literal 1 binary64)))
(*.f64 (neg.f64 z) (neg.f64 y))
(*.f64 z (neg.f64 (neg.f64 y)))
(*.f64 z y)
(pow.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))
(pow.f64 (*.f64 y (neg.f64 z)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 y z) #s(literal 1 binary64))
(neg.f64 (*.f64 y (neg.f64 z)))
(sqrt.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)))
(fabs.f64 (*.f64 y (neg.f64 z)))
(fabs.f64 (*.f64 y z))
(exp.f64 (/.f64 (log.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (log.f64 (*.f64 y z)))
(+.f64 (cosh.f64 (/.f64 (log.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64))) #s(literal 2 binary64))) (sinh.f64 (/.f64 (log.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64))) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (log.f64 (.f64 y z))) (sinh.f64 (log.f64 (.f64 y z))))

eval249.0ms (3.7%)

Memory: 4.6MiB live, 250.3MiB allocated
Compiler: Compiled 15 456 to 2 108 computations (86.4% saved)

prune58.0ms (0.9%)

Memory

-10.1MiB live, 41.2MiB allocated

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	624	3	627
Fresh	0	0	0
Picked	2	0	2
Done	1	5	6
Total	627	8	635

Accuracy

100.0%

Counts

635 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	93.8%	(fma.f64 (*.f64 x (neg.f64 y)) z x)
✓	92.8%	(fma.f64 (*.f64 x z) (neg.f64 y) x)
▶	67.8%	(/.f64 (fma.f64 (.f64 (.f64 y (neg.f64 z)) y) (*.f64 z x) x) (fma.f64 z y #s(literal 1 binary64)))
▶	16.2%	(/.f64 (.f64 #s(approx (- 1 (pow ( z y) 2)) (.f64 (.f64 (*.f64 (neg.f64 z) z) y) y)) x) (fma.f64 z y #s(literal 1 binary64)))
▶	76.2%	(.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 y z) (.f64 y z))) (fma.f64 z y #s(literal 1 binary64))))
✓	95.8%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))
✓	45.0%	(.f64 x #s(approx (- 1 ( y z)) (*.f64 (neg.f64 y) z)))
✓	53.2%	(.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64)))

Compiler

Compiled 97 to 76 computations (21.6% saved)

simplify116.0ms (1.7%)

Memory

11.0MiB live, 105.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 y (neg.f64 z))
cost-diff	0	(.f64 (.f64 y (neg.f64 z)) y)
cost-diff	0	(/.f64 (fma.f64 (.f64 (.f64 y (neg.f64 z)) y) (*.f64 z x) x) (fma.f64 z y #s(literal 1 binary64)))
cost-diff	2	(fma.f64 (.f64 (.f64 y (neg.f64 z)) y) (*.f64 z x) x)
cost-diff	0	#s(approx (- 1 (pow (* z y) 2)) (.f64 (.f64 (*.f64 (neg.f64 z) z) y) y))
cost-diff	0	(.f64 #s(approx (- 1 (pow ( z y) 2)) (.f64 (.f64 (*.f64 (neg.f64 z) z) y) y)) x)
cost-diff	0	(/.f64 (.f64 #s(approx (- 1 (pow ( z y) 2)) (.f64 (.f64 (*.f64 (neg.f64 z) z) y) y)) x) (fma.f64 z y #s(literal 1 binary64)))
cost-diff	2	(.f64 (.f64 (*.f64 (neg.f64 z) z) y) y)
cost-diff	0	(-.f64 #s(literal 1 binary64) (.f64 (.f64 y z) (*.f64 y z)))
cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 y z) (*.f64 y z))) (fma.f64 z y #s(literal 1 binary64)))
cost-diff	0	(.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 y z) (.f64 y z))) (fma.f64 z y #s(literal 1 binary64))))
cost-diff	2	(.f64 (.f64 y z) (*.f64 y z))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	192
0	44	182
1	97	172
2	248	172
3	832	172
4	1966	172
5	2987	172
6	3203	172
7	3295	172
8	3365	172
9	3605	172
10	4635	172
11	6891	172
12	7242	172
0	8150	172

Stop Event

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

Calls

Call 1

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

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

localize80.0ms (1.2%)

Memory

-30.1MiB live, 206.7MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.0	(neg.f64 z)
accuracy	0.12109375	(.f64 (.f64 y (neg.f64 z)) y)
accuracy	5.491678754248931	(fma.f64 (.f64 (.f64 y (neg.f64 z)) y) (*.f64 z x) x)
accuracy	14.071670677471912	(/.f64 (fma.f64 (.f64 (.f64 y (neg.f64 z)) y) (*.f64 z x) x) (fma.f64 z y #s(literal 1 binary64)))
accuracy	3.0949328303794017	(.f64 (.f64 (*.f64 (neg.f64 z) z) y) y)
accuracy	7.678290953533662	(.f64 (.f64 (neg.f64 z) z) y)
accuracy	14.071670677471912	(/.f64 (.f64 #s(approx (- 1 (pow ( z y) 2)) (.f64 (.f64 (*.f64 (neg.f64 z) z) y) y)) x) (fma.f64 z y #s(literal 1 binary64)))
accuracy	33.06467391518861	#s(approx (- 1 (pow (* z y) 2)) (.f64 (.f64 (*.f64 (neg.f64 z) z) y) y))
accuracy	0.0	(*.f64 y z)
accuracy	0.1796875	(.f64 (.f64 y z) (*.f64 y z))
accuracy	2.665300157546656	(.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 y z) (.f64 y z))) (fma.f64 z y #s(literal 1 binary64))))
accuracy	16.436196498920708	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 y z) (*.f64 y z))) (fma.f64 z y #s(literal 1 binary64)))

Samples

55.0ms

256×

valid

Compiler

Compiled 176 to 27 computations (84.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-mult: 21.0ms (57.4% of total)

ival-div: 6.0ms (16.4% of total)

ival-add: 3.0ms (8.2% of total)

ival-pow2: 3.0ms (8.2% of total)

ival-sub: 2.0ms (5.5% of total)

ival-neg: 1.0ms (2.7% of total)

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

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

exact: 0.0ms (0% of total)

series25.0ms (0.4%)

Memory

20.3MiB live, 69.9MiB allocated

Counts

15 → 33

Calls

Call 1

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

Outputs
(/ (* x (- 1 (* (pow y 2) (pow z 2)))) (+ 1 (* y z)))
(* x (- 1 (* (pow y 2) (pow z 2))))
(* x (+ 1 (* -1 (* (pow y 2) (pow z 2)))))
(/ (* x (+ 1 (* -1 (* (pow y 2) (pow z 2))))) (+ 1 (* y z)))
(* -1 (* x (- (* (pow y 2) (pow z 2)) 1)))
(* -1 (/ (* x (- (* (pow y 2) (pow z 2)) 1)) (+ 1 (* y z))))
(* (pow y 2) (pow z 2))
x
(+ x (* -1 (* x (* y z))))
1
(+ 1 (* -1 (* y z)))
(+ 1 (* -1 (* (pow y 2) (pow z 2))))
(* -1 (* (pow y 2) (pow z 2)))
(+ x (* -1 (* x (* (pow y 2) (pow z 2)))))
(* -1 (* (pow y 2) z))
(* -1 (* y z))
(* y z)
(* -1 (* y (pow z 2)))
(* -1 (* x (* y z)))
(* y (+ (* -1 (* x z)) (/ x y)))
(* y (+ (* -1 z) (/ 1 y)))
(* (pow y 2) (- (/ 1 (pow y 2)) (pow z 2)))
(* -1 (* x (* (pow y 2) (pow z 2))))
(* (pow y 2) (+ (* -1 (* x (pow z 2))) (/ x (pow y 2))))
(* -1 (* y (+ (* -1 (/ x y)) (* x z))))
(* -1 (* y (- z (/ 1 y))))
(* -1 z)
(* z (+ (* -1 (* x y)) (/ x z)))
(* z (+ (* -1 y) (/ 1 z)))
(* (pow z 2) (- (/ 1 (pow z 2)) (pow y 2)))
(* (pow z 2) (+ (* -1 (* x (pow y 2))) (/ x (pow z 2))))
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(* -1 (* z (- y (/ 1 z))))

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	y	@	-inf	((* (* y z) (* y z)) (* x (/ (- 1 (* (* y z) (* y z))) (+ (* z y) 1))) (/ (- 1 (* (* y z) (* y z))) (+ (* z y) 1)) (- 1 (* (* y z) (* y z))) (* (* (* (neg z) z) y) y) (/ (* (- 1 (pow (* z y) 2)) x) (+ (* z y) 1)) (* (- 1 (pow (* z y) 2)) x) (- 1 (pow (* z y) 2)) (+ (* (* (* y (neg z)) y) (* z x)) x) (/ (+ (* (* (* y (neg z)) y) (* z x)) x) (+ (* z y) 1)) (* (* y (neg z)) y) (* y (neg z)) (* y z) (* (* (neg z) z) y) (neg z))
3.0ms	z	@	0	((* (* y z) (* y z)) (* x (/ (- 1 (* (* y z) (* y z))) (+ (* z y) 1))) (/ (- 1 (* (* y z) (* y z))) (+ (* z y) 1)) (- 1 (* (* y z) (* y z))) (* (* (* (neg z) z) y) y) (/ (* (- 1 (pow (* z y) 2)) x) (+ (* z y) 1)) (* (- 1 (pow (* z y) 2)) x) (- 1 (pow (* z y) 2)) (+ (* (* (* y (neg z)) y) (* z x)) x) (/ (+ (* (* (* y (neg z)) y) (* z x)) x) (+ (* z y) 1)) (* (* y (neg z)) y) (* y (neg z)) (* y z) (* (* (neg z) z) y) (neg z))
3.0ms	x	@	0	((* (* y z) (* y z)) (* x (/ (- 1 (* (* y z) (* y z))) (+ (* z y) 1))) (/ (- 1 (* (* y z) (* y z))) (+ (* z y) 1)) (- 1 (* (* y z) (* y z))) (* (* (* (neg z) z) y) y) (/ (* (- 1 (pow (* z y) 2)) x) (+ (* z y) 1)) (* (- 1 (pow (* z y) 2)) x) (- 1 (pow (* z y) 2)) (+ (* (* (* y (neg z)) y) (* z x)) x) (/ (+ (* (* (* y (neg z)) y) (* z x)) x) (+ (* z y) 1)) (* (* y (neg z)) y) (* y (neg z)) (* y z) (* (* (neg z) z) y) (neg z))
3.0ms	z	@	inf	((* (* y z) (* y z)) (* x (/ (- 1 (* (* y z) (* y z))) (+ (* z y) 1))) (/ (- 1 (* (* y z) (* y z))) (+ (* z y) 1)) (- 1 (* (* y z) (* y z))) (* (* (* (neg z) z) y) y) (/ (* (- 1 (pow (* z y) 2)) x) (+ (* z y) 1)) (* (- 1 (pow (* z y) 2)) x) (- 1 (pow (* z y) 2)) (+ (* (* (* y (neg z)) y) (* z x)) x) (/ (+ (* (* (* y (neg z)) y) (* z x)) x) (+ (* z y) 1)) (* (* y (neg z)) y) (* y (neg z)) (* y z) (* (* (neg z) z) y) (neg z))
2.0ms	y	@	inf	((* (* y z) (* y z)) (* x (/ (- 1 (* (* y z) (* y z))) (+ (* z y) 1))) (/ (- 1 (* (* y z) (* y z))) (+ (* z y) 1)) (- 1 (* (* y z) (* y z))) (* (* (* (neg z) z) y) y) (/ (* (- 1 (pow (* z y) 2)) x) (+ (* z y) 1)) (* (- 1 (pow (* z y) 2)) x) (- 1 (pow (* z y) 2)) (+ (* (* (* y (neg z)) y) (* z x)) x) (/ (+ (* (* (* y (neg z)) y) (* z x)) x) (+ (* z y) 1)) (* (* y (neg z)) y) (* y (neg z)) (* y z) (* (* (neg z) z) y) (neg z))

simplify199.0ms (2.9%)

Memory

-5.7MiB live, 184.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	271
1	268	258
2	750	258
3	2223	258
4	4656	258
5	7164	258
0	8146	255

Stop Event

1×	iter limit
1×	node limit

Counts

33 → 32

Calls

Call 1

Inputs
(/ (* x (- 1 (* (pow y 2) (pow z 2)))) (+ 1 (* y z)))
(* x (- 1 (* (pow y 2) (pow z 2))))
(* x (+ 1 (* -1 (* (pow y 2) (pow z 2)))))
(/ (* x (+ 1 (* -1 (* (pow y 2) (pow z 2))))) (+ 1 (* y z)))
(* -1 (* x (- (* (pow y 2) (pow z 2)) 1)))
(* -1 (/ (* x (- (* (pow y 2) (pow z 2)) 1)) (+ 1 (* y z))))
(* (pow y 2) (pow z 2))
x
(+ x (* -1 (* x (* y z))))
1
(+ 1 (* -1 (* y z)))
(+ 1 (* -1 (* (pow y 2) (pow z 2))))
(* -1 (* (pow y 2) (pow z 2)))
(+ x (* -1 (* x (* (pow y 2) (pow z 2)))))
(* -1 (* (pow y 2) z))
(* -1 (* y z))
(* y z)
(* -1 (* y (pow z 2)))
(* -1 (* x (* y z)))
(* y (+ (* -1 (* x z)) (/ x y)))
(* y (+ (* -1 z) (/ 1 y)))
(* (pow y 2) (- (/ 1 (pow y 2)) (pow z 2)))
(* -1 (* x (* (pow y 2) (pow z 2))))
(* (pow y 2) (+ (* -1 (* x (pow z 2))) (/ x (pow y 2))))
(* -1 (* y (+ (* -1 (/ x y)) (* x z))))
(* -1 (* y (- z (/ 1 y))))
(* -1 z)
(* z (+ (* -1 (* x y)) (/ x z)))
(* z (+ (* -1 y) (/ 1 z)))
(* (pow z 2) (- (/ 1 (pow z 2)) (pow y 2)))
(* (pow z 2) (+ (* -1 (* x (pow y 2))) (/ x (pow z 2))))
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(* -1 (* z (- y (/ 1 z))))

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

rewrite299.0ms (4.4%)

Memory

17.1MiB live, 254.3MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	159
0	44	149
1	166	118
2	915	118
0	8721	118

Stop Event

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

Counts

15 → 742

Calls

Call 1

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

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

eval436.0ms (6.4%)

Memory: -6.4MiB live, 214.6MiB allocated
Compiler: Compiled 18 426 to 2 429 computations (86.8% saved)

prune42.0ms (0.6%)

Memory

-1.7MiB live, 45.6MiB allocated

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	702	1	703
Fresh	0	0	0
Picked	1	2	3
Done	0	5	5
Total	703	8	711

Accuracy

100.0%

Counts

711 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	93.8%	(fma.f64 (*.f64 x (neg.f64 y)) z x)
✓	92.8%	(fma.f64 (*.f64 x z) (neg.f64 y) x)
✓	67.8%	(/.f64 (fma.f64 (.f64 (.f64 y (neg.f64 z)) y) (*.f64 z x) x) (fma.f64 z y #s(literal 1 binary64)))
	20.8%	(/.f64 (.f64 #s(approx (- 1 (pow ( z y) 2)) (.f64 (.f64 (*.f64 z y) y) (neg.f64 z))) x) (fma.f64 z y #s(literal 1 binary64)))
✓	76.2%	(.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 y z) (.f64 y z))) (fma.f64 z y #s(literal 1 binary64))))
✓	95.8%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))
✓	45.0%	(.f64 x #s(approx (- 1 ( y z)) (*.f64 (neg.f64 y) z)))
✓	53.2%	(.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64)))

Compiler

Compiled 264 to 138 computations (47.7% saved)

regimes22.0ms (0.3%)

Memory

35.1MiB live, 35.1MiB allocated

Counts

12 → 2

Calls

Call 1

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

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

Calls

6 calls:

4.0ms	y
4.0ms	x
4.0ms	z
3.0ms	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))
3.0ms	(*.f64 y z)

Results

Accuracy	Segments	Branch
98.4%	2	`(*.f64 y z)`
98.4%	2	`(-.f64 #s(literal 1 binary64) (*.f64 y z))`
98.4%	2	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))`
98.4%	2	`x`
97.7%	2	`y`
95.8%	1	`z`

Compiler

Compiled 18 to 26 computations (-44.4% saved)

regimes32.0ms (0.5%)

Memory

-40.7MiB live, 15.8MiB allocated

Counts

3 → 1

Calls

Call 1

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

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

Calls

5 calls:

25.0ms	(*.f64 y z)
2.0ms	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))
2.0ms	x
2.0ms	y
1.0ms	(-.f64 #s(literal 1 binary64) (*.f64 y z))

Results

Accuracy	Segments	Branch
95.8%	1	`y`
95.8%	1	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))`
95.8%	1	`(*.f64 y z)`
95.8%	1	`(-.f64 #s(literal 1 binary64) (*.f64 y z))`
95.8%	1	`x`

Compiler

Compiled 17 to 23 computations (-35.3% saved)

regimes8.0ms (0.1%)

Memory

17.8MiB live, 17.8MiB allocated

Counts

2 → 3

Calls

Call 1

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

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

Calls

6 calls:

1.0ms	z
1.0ms	x
1.0ms	y
1.0ms	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))
1.0ms	(*.f64 y z)

Results

Accuracy	Segments	Branch
94.1%	3	`(-.f64 #s(literal 1 binary64) (*.f64 y z))`
80.7%	3	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))`
58.0%	3	`x`
76.5%	3	`y`
75.3%	3	`z`
94.1%	3	`(*.f64 y z)`

Compiler

Compiled 18 to 26 computations (-44.4% saved)

regimes6.0ms (0.1%)

Memory

16.2MiB live, 16.2MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

6 calls:

1.0ms	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))
1.0ms	y
1.0ms	x
1.0ms	z
1.0ms	(*.f64 y z)

Results

Accuracy	Segments	Branch
53.2%	1	`x`
53.2%	1	`z`
53.2%	1	`y`
53.2%	1	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))`
53.2%	1	`(*.f64 y z)`
53.2%	1	`(-.f64 #s(literal 1 binary64) (*.f64 y z))`

Compiler

Compiled 18 to 26 computations (-44.4% saved)

bsearch2.0ms (0%)

Memory

2.9MiB live, 2.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
1.0ms	1.217646809082382e-183	5.472520312581004e-182

Samples

1.0ms

16×

valid

Compiler

Compiled 24 to 28 computations (-16.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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

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

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.1808015469638312	15608303705576014000.0
0.0ms	-245.1895969565807	-3.652044573139725e-5

Compiler

Compiled 10 to 13 computations (-30% saved)

simplify151.0ms (2.2%)

Memory

-27.2MiB live, 21.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	68
1	41	68
2	56	68
3	71	68
4	81	68

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal 4784065733063811/2392032866531905486790942578809394338145620987608332988883503686824375178865503049616412016019962016447144819201720664620106359620960485637227891297994520232330261783830994590149049944504587400511488 binary64)) (fma.f64 (.f64 x z) (neg.f64 y) x) (.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))
(if (<=.f64 (.f64 y z) #s(literal -200 binary64)) (.f64 x #s(approx (- 1 (* y z)) (.f64 (neg.f64 y) z))) (if (<=.f64 (.f64 y z) #s(literal 3602879701896397/18014398509481984 binary64)) (.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64))) (.f64 x #s(approx (- 1 ( y z)) (*.f64 (neg.f64 y) z)))))
(.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64)))

Outputs
(if (<=.f64 x #s(literal 4784065733063811/2392032866531905486790942578809394338145620987608332988883503686824375178865503049616412016019962016447144819201720664620106359620960485637227891297994520232330261783830994590149049944504587400511488 binary64)) (fma.f64 (.f64 x z) (neg.f64 y) x) (.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))
(if (<=.f64 (.f64 y z) #s(literal -200 binary64)) (.f64 x #s(approx (- 1 (* y z)) (.f64 (neg.f64 y) z))) (if (<=.f64 (.f64 y z) #s(literal 3602879701896397/18014398509481984 binary64)) (.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64))) (.f64 x #s(approx (- 1 ( y z)) (*.f64 (neg.f64 y) z)))))
(if (or (<=.f64 (.f64 y z) #s(literal -200 binary64)) (not (<=.f64 (.f64 y z) #s(literal 3602879701896397/18014398509481984 binary64)))) (.f64 x #s(approx (- 1 ( y z)) (.f64 (neg.f64 y) z))) (.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))))
(.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64)))

soundness900.0ms (13.3%)

Memory

15.3MiB live, 356.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	82
1	144	82
2	379	82
3	1023	82
4	2458	82
5	5906	82
6	7796	82
0	8434	82
0	7	15
0	10	15
1	31	15
2	178	15
3	1456	15
0	9033	13

Stop Event

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

Compiler

Compiled 94 to 54 computations (42.6% saved)

preprocess287.0ms (4.2%)

Memory: 9.1MiB live, 142.3MiB allocated
Compiler: Compiled 294 to 174 computations (40.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	7	19
0	10	19
1	17	19
2	32	19
3	69	19
4	165	19
5	341	19
6	431	19
7	512	19
8	548	19
0	548	19

Iter	Nodes	Cost
0	7	19
0	10	19
1	17	19
2	32	19
3	69	19
4	165	19
5	341	19
6	431	19
7	512	19
8	548	19
0	548	19

start0.0ms (0%)

analyze1.0ms (0%)

sample1.4s (20%)

explain220.0ms (3.2%)

preprocess48.0ms (0.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify52.0ms (0.8%)

localize32.0ms (0.5%)

series16.0ms (0.2%)

simplify314.0ms (4.6%)

rewrite286.0ms (4.2%)

eval46.0ms (0.7%)

prune11.0ms (0.2%)

simplify146.0ms (2.2%)

localize50.0ms (0.7%)

series21.0ms (0.3%)

simplify143.0ms (2.1%)

rewrite185.0ms (2.7%)

eval41.0ms (0.6%)

prune57.0ms (0.8%)

simplify133.0ms (2%)

localize115.0ms (1.7%)

series18.0ms (0.3%)

simplify218.0ms (3.2%)

rewrite364.0ms (5.4%)

eval249.0ms (3.7%)

prune58.0ms (0.9%)

simplify116.0ms (1.7%)

localize80.0ms (1.2%)

series25.0ms (0.4%)

simplify199.0ms (2.9%)

rewrite299.0ms (4.4%)

eval436.0ms (6.4%)

prune42.0ms (0.6%)

regimes22.0ms (0.3%)

regimes32.0ms (0.5%)

regimes8.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch2.0ms (0%)

bsearch1.0ms (0%)

simplify151.0ms (2.2%)

soundness900.0ms (13.3%)

preprocess287.0ms (4.2%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	7	19
0	10	19
1	17	19
2	32	19
3	69	19
4	165	19
5	341	19
6	431	19
7	512	19
8	548	19
0	548	19