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

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated

analyze0.0ms (0%)

Memory

1.6MiB live, 1.6MiB 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)

sample1.1s (14.7%)

Memory

57.8MiB live, 1 333.8MiB allocated

Samples

634.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 396.0ms

ival-mult: 310.0ms (78.3% of total)

ival-sub: 70.0ms (17.7% of total)

ival-true: 6.0ms (1.5% of total)

exact: 6.0ms (1.5% of total)

ival-assert: 3.0ms (0.8% of total)

Bogosity

explain171.0ms (2.3%)

Memory

-55.0MiB live, 155.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
13	-	-	`(.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**	13	0

Confusion

	Predicted +	Predicted -
+	13	0
-	0	243

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	13	0	0
-	0	0	243

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	243
1	13

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

25.0ms

512×

valid

Compiler

Compiled 49 to 25 computations (49% saved)

Precisions

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

ival-mult: 7.0ms (66.1% of total)

ival-sub: 3.0ms (28.3% of total)

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

exact: 0.0ms (0% of total)

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

preprocess63.0ms (0.9%)

Memory

27.8MiB live, 73.2MiB 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: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	95.1%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))

Compiler

Compiled 7 to 7 computations (0% saved)

simplify30.0ms (0.4%)

Memory

-14.4MiB live, 31.1MiB 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

localize53.0ms (0.7%)

Memory

22.1MiB live, 66.8MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 y z)
accuracy	0.006191259768442017	(-.f64 #s(literal 1 binary64) (*.f64 y z))
accuracy	3.12892171014831	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))

Samples

48.0ms

256×

valid

Compiler

Compiled 21 to 9 computations (57.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-mult: 39.0ms (95.4% of total)

ival-sub: 1.0ms (2.4% of total)

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

exact: 0.0ms (0% of total)

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

series11.0ms (0.1%)

Memory

-41.1MiB live, 16.6MiB 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
5.0ms	z	@	-inf	((* x (- 1 (* y z))) (- 1 (* y z)) (* y z))
1.0ms	z	@	inf	((* x (- 1 (* y z))) (- 1 (* y z)) (* y z))
1.0ms	y	@	0	((* x (- 1 (* y z))) (- 1 (* y z)) (* y z))
1.0ms	x	@	0	((* x (- 1 (* y z))) (- 1 (* y z)) (* y z))
1.0ms	y	@	-inf	((* x (- 1 (* y z))) (- 1 (* y z)) (* y z))

simplify155.0ms (2.1%)

Memory

59.4MiB live, 189.5MiB 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))

rewrite273.0ms (3.7%)

Memory

-44.6MiB live, 253.5MiB 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))))

eval45.0ms (0.6%)

Memory: 36.7MiB live, 80.6MiB allocated
Compiler: Compiled 11 122 to 1 216 computations (89.1% saved)

prune35.0ms (0.5%)

Memory

-15.8MiB live, 27.6MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	383	8	391
Fresh	0	0	0
Picked	1	0	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
	90.9%	(fma.f64 (*.f64 x (neg.f64 y)) z x)
▶	96.4%	(fma.f64 (*.f64 x z) (neg.f64 y) x)
▶	52.1%	(.f64 x (fma.f64 (sqrt.f64 (.f64 (*.f64 y y) z)) (sqrt.f64 z) #s(literal 1 binary64)))
▶	95.1%	(*.f64 x (fma.f64 (neg.f64 z) y #s(literal 1 binary64)))
	40.6%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (.f64 (.f64 y y) z)) (sqrt.f64 z))))
▶	70.9%	(.f64 x (+.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (.f64 (neg.f64 (.f64 (.f64 z z) y)) y) (fma.f64 z y #s(literal 1 binary64)))))
	45.3%	(.f64 x #s(approx (- 1 ( y z)) (*.f64 (neg.f64 y) z)))
▶	51.5%	(.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64)))

Compiler

Compiled 178 to 146 computations (18% saved)

simplify274.0ms (3.7%)

Memory

-5.5MiB live, 190.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	30	185
0	56	185
1	115	175
2	286	173
3	959	173
4	2201	173
5	3133	173
6	4258	173
7	5691	173
8	7336	173
0	8561	173

Stop Event

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

Calls

Call 1

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

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

localize154.0ms (2.1%)

Memory

20.3MiB live, 167.0MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	2.1697348391089513	(.f64 x (+.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (.f64 (neg.f64 (.f64 (.f64 z z) y)) y) (fma.f64 z y #s(literal 1 binary64)))))
accuracy	3.391123631424806	(.f64 (neg.f64 (.f64 (*.f64 z z) y)) y)
accuracy	4.357891474789519	(.f64 (.f64 z z) y)
accuracy	10.033046777110304	(/.f64 (.f64 (neg.f64 (.f64 (*.f64 z z) y)) y) (fma.f64 z y #s(literal 1 binary64)))
accuracy	0.10546875	(fma.f64 (sqrt.f64 (.f64 (.f64 y y) z)) (sqrt.f64 z) #s(literal 1 binary64))
accuracy	2.1619223391089513	(.f64 x (fma.f64 (sqrt.f64 (.f64 (*.f64 y y) z)) (sqrt.f64 z) #s(literal 1 binary64)))
accuracy	5.696933059316802	(.f64 (.f64 y y) z)
accuracy	17.73713369155329	(sqrt.f64 (.f64 (.f64 y y) z))
accuracy	0.0	(fma.f64 (neg.f64 z) y #s(literal 1 binary64))
accuracy	0.0	(neg.f64 z)
accuracy	2.1697348391089513	(*.f64 x (fma.f64 (neg.f64 z) y #s(literal 1 binary64)))
accuracy	2.1697348391089513	(.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64)))
accuracy	23.356958763963632	#s(approx (- 1 (* y z)) #s(literal 1 binary64))
accuracy	0.0	(*.f64 x z)
accuracy	0.0	(neg.f64 y)
accuracy	1.5234070828922286	(fma.f64 (*.f64 x z) (neg.f64 y) x)

Samples

91.0ms	189×	0	valid
44.0ms	67×	0	invalid

Compiler

Compiled 195 to 35 computations (82.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 118.0ms

ival-mult: 63.0ms (53.5% of total)

ival-add: 35.0ms (29.7% of total)

ival-sqrt: 9.0ms (7.6% of total)

ival-neg: 3.0ms (2.5% of total)

ival-pow: 3.0ms (2.5% of total)

ival-div: 2.0ms (1.7% of total)

ival-sub: 1.0ms (0.8% of total)

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

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

exact: 0.0ms (0% of total)

series127.0ms (1.7%)

Memory

-35.9MiB live, 61.6MiB allocated

Counts

19 → 75

Calls

Call 1

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

Outputs
(* x (+ 1 (* -1 (* y z))))
(* x z)
(* x (- 1 (* y z)))
(* x (+ 1 (* y z)))
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(* -1 (* x (- (* y z) 1)))
x
(+ x (* -1 (* x (* y z))))
(* -1 y)
1
(+ 1 (* -1 (* y z)))
(+ x (* x (* y z)))
(+ 1 (* y z))
(* y (sqrt z))
(* (pow y 2) z)
(+ 1 (* y (- (* y (pow z 2)) z)))
(+ 1 (* y (- (* y (- (* -1 (* y (pow z 3))) (* -1 (pow z 2)))) z)))
(* -1 (* (pow y 2) (pow z 2)))
(* (pow y 2) (+ (* -1 (pow z 2)) (* y (pow z 3))))
(* (pow y 2) (+ (* -1 (pow z 2)) (* y (+ (* -1 (* y (pow z 4))) (pow z 3)))))
(* (pow y 2) (+ (* -1 (pow z 2)) (* y (+ (* y (+ (* -1 (pow z 4)) (* y (pow z 5)))) (pow z 3)))))
(* y (pow z 2))
(* -1 (* x (* y z)))
(* y (+ (* -1 (* x z)) (/ x y)))
(* -1 (* y z))
(* y (- (/ 1 y) z))
(* y (+ (* -1 z) (/ 1 y)))
(* x (* y z))
(* y (+ (* x z) (/ x y)))
(* y z)
(* y (+ z (/ 1 y)))
(/ 1 (* y z))
(/ (- (/ 1 z) (/ 1 (* y (pow z 2)))) y)
(/ (- (+ (/ 1 z) (/ 1 (* (pow y 2) (pow z 3)))) (/ 1 (* y (pow z 2)))) y)
(/ (- (+ (/ 1 z) (/ 1 (* (pow y 2) (pow z 3)))) (+ (/ 1 (* y (pow z 2))) (/ 1 (* (pow y 3) (pow z 4))))) y)
(* y (- (+ (* -1 z) (/ 1 y)) (/ 1 (* (pow y 2) z))))
(* y (- (+ (* -1 z) (+ (/ 1 y) (/ 1 (* (pow y 3) (pow z 2))))) (/ 1 (* (pow y 2) z))))
(* -1 (* y (+ (* -1 (/ x y)) (* x z))))
(* -1 (* y (- z (/ 1 y))))
(* -1 (* y (sqrt z)))
(* -1 (/ (- (/ 1 (* y (pow z 2))) (/ 1 z)) y))
(* -1 (/ (- (* -1 (/ (- (/ 1 (* y (pow z 3))) (/ 1 (pow z 2))) y)) (/ 1 z)) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* y (pow z 4))) (/ 1 (pow z 3))) y)) (/ 1 (pow z 2))) y)) (/ 1 z)) y))
(* -1 (* y (- (* -1 z) (/ 1 y))))
(* -1 (* y (+ z (* -1 (/ (- 1 (/ 1 (* y z))) y)))))
(* -1 (* y (+ z (* -1 (/ (+ 1 (* -1 (/ (- (/ 1 z) (/ 1 (* y (pow z 2)))) y))) y)))))
(* -1 z)
(+ 1 (* z (- (* (pow y 2) z) y)))
(+ 1 (* z (- (* z (- (* -1 (* (pow y 3) z)) (* -1 (pow y 2)))) y)))
(* (pow z 2) (+ (* -1 (pow y 2)) (* (pow y 3) z)))
(* (pow z 2) (+ (* -1 (pow y 2)) (* z (+ (* -1 (* (pow y 4) z)) (pow y 3)))))
(* (pow z 2) (+ (* -1 (pow y 2)) (* z (+ (* z (+ (* -1 (pow y 4)) (* (pow y 5) z))) (pow y 3)))))
(* z (+ (* -1 (* x y)) (/ x z)))
(* z (- (/ 1 z) y))
(* z (+ (* -1 y) (/ 1 z)))
(* z (+ (* x y) (/ x z)))
(* z (+ y (/ 1 z)))
(/ (- (/ 1 y) (/ 1 (* (pow y 2) z))) z)
(/ (- (+ (/ 1 y) (/ 1 (* (pow y 3) (pow z 2)))) (/ 1 (* (pow y 2) z))) z)
(/ (- (+ (/ 1 y) (/ 1 (* (pow y 3) (pow z 2)))) (+ (/ 1 (* (pow y 2) z)) (/ 1 (* (pow y 4) (pow z 3))))) z)
(* z (- (+ (* -1 y) (/ 1 z)) (/ 1 (* y (pow z 2)))))
(* z (- (+ (* -1 y) (+ (/ 1 z) (/ 1 (* (pow y 2) (pow z 3))))) (/ 1 (* y (pow z 2)))))
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(* -1 (* z (- y (/ 1 z))))
(* -1 (* x (* y (* z (pow (sqrt -1) 2)))))
(* -1 (* z (+ (* -1 (/ x z)) (* x (* y (pow (sqrt -1) 2))))))
(* -1 (* y (* z (pow (sqrt -1) 2))))
(* -1 (* z (- (* y (pow (sqrt -1) 2)) (/ 1 z))))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (/ (- (/ 1 (* (pow y 2) z)) (/ 1 y)) z))
(* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow y 3) z)) (/ 1 (pow y 2))) z)) (/ 1 y)) z))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow y 4) z)) (/ 1 (pow y 3))) z)) (/ 1 (pow y 2))) z)) (/ 1 y)) z))
(* -1 (* z (- (* -1 y) (/ 1 z))))
(* -1 (* z (+ y (* -1 (/ (- 1 (/ 1 (* y z))) z)))))
(* -1 (* z (+ y (* -1 (/ (+ 1 (* -1 (/ (- (/ 1 y) (/ 1 (* (pow y 2) z))) z))) z)))))

Calls

9 calls:

Time	Variable		Point	Expression
66.0ms	z	@	-inf	((+ (* (* x z) (neg y)) x) (* x z) (neg y) (* x (- 1 (* y z))) (- 1 (* y z)) (* x (+ (* (neg z) y) 1)) (+ (* (neg z) y) 1) (neg z) (* x (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1)) (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1) (sqrt (* (* y y) z)) (* (* y y) z) (+ (pow (+ (* z y) 1) -1) (/ (* (neg (* (* z z) y)) y) (+ (* z y) 1))) (* x (+ (pow (+ (* z y) 1) -1) (/ (* (neg (* (* z z) y)) y) (+ (* z y) 1)))) (pow (+ (* z y) 1) -1) (+ (* z y) 1) (/ (* (neg (* (* z z) y)) y) (+ (* z y) 1)) (* (* z z) y) (* (neg (* (* z z) y)) y))
28.0ms	x	@	0	((+ (* (* x z) (neg y)) x) (* x z) (neg y) (* x (- 1 (* y z))) (- 1 (* y z)) (* x (+ (* (neg z) y) 1)) (+ (* (neg z) y) 1) (neg z) (* x (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1)) (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1) (sqrt (* (* y y) z)) (* (* y y) z) (+ (pow (+ (* z y) 1) -1) (/ (* (neg (* (* z z) y)) y) (+ (* z y) 1))) (* x (+ (pow (+ (* z y) 1) -1) (/ (* (neg (* (* z z) y)) y) (+ (* z y) 1)))) (pow (+ (* z y) 1) -1) (+ (* z y) 1) (/ (* (neg (* (* z z) y)) y) (+ (* z y) 1)) (* (* z z) y) (* (neg (* (* z z) y)) y))
7.0ms	y	@	inf	((+ (* (* x z) (neg y)) x) (* x z) (neg y) (* x (- 1 (* y z))) (- 1 (* y z)) (* x (+ (* (neg z) y) 1)) (+ (* (neg z) y) 1) (neg z) (* x (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1)) (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1) (sqrt (* (* y y) z)) (* (* y y) z) (+ (pow (+ (* z y) 1) -1) (/ (* (neg (* (* z z) y)) y) (+ (* z y) 1))) (* x (+ (pow (+ (* z y) 1) -1) (/ (* (neg (* (* z z) y)) y) (+ (* z y) 1)))) (pow (+ (* z y) 1) -1) (+ (* z y) 1) (/ (* (neg (* (* z z) y)) y) (+ (* z y) 1)) (* (* z z) y) (* (neg (* (* z z) y)) y))
5.0ms	z	@	inf	((+ (* (* x z) (neg y)) x) (* x z) (neg y) (* x (- 1 (* y z))) (- 1 (* y z)) (* x (+ (* (neg z) y) 1)) (+ (* (neg z) y) 1) (neg z) (* x (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1)) (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1) (sqrt (* (* y y) z)) (* (* y y) z) (+ (pow (+ (* z y) 1) -1) (/ (* (neg (* (* z z) y)) y) (+ (* z y) 1))) (* x (+ (pow (+ (* z y) 1) -1) (/ (* (neg (* (* z z) y)) y) (+ (* z y) 1)))) (pow (+ (* z y) 1) -1) (+ (* z y) 1) (/ (* (neg (* (* z z) y)) y) (+ (* z y) 1)) (* (* z z) y) (* (neg (* (* z z) y)) y))
4.0ms	y	@	0	((+ (* (* x z) (neg y)) x) (* x z) (neg y) (* x (- 1 (* y z))) (- 1 (* y z)) (* x (+ (* (neg z) y) 1)) (+ (* (neg z) y) 1) (neg z) (* x (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1)) (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1) (sqrt (* (* y y) z)) (* (* y y) z) (+ (pow (+ (* z y) 1) -1) (/ (* (neg (* (* z z) y)) y) (+ (* z y) 1))) (* x (+ (pow (+ (* z y) 1) -1) (/ (* (neg (* (* z z) y)) y) (+ (* z y) 1)))) (pow (+ (* z y) 1) -1) (+ (* z y) 1) (/ (* (neg (* (* z z) y)) y) (+ (* z y) 1)) (* (* z z) y) (* (neg (* (* z z) y)) y))

simplify206.0ms (2.8%)

Memory

22.7MiB live, 115.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	271	880
1	878	836
2	2645	819
3	6561	799
0	8157	775

Stop Event

1×	iter limit
1×	node limit

Counts

75 → 74

Calls

Call 1

Inputs
(* x (+ 1 (* -1 (* y z))))
(* x z)
(* x (- 1 (* y z)))
(* x (+ 1 (* y z)))
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(* -1 (* x (- (* y z) 1)))
x
(+ x (* -1 (* x (* y z))))
(* -1 y)
1
(+ 1 (* -1 (* y z)))
(+ x (* x (* y z)))
(+ 1 (* y z))
(* y (sqrt z))
(* (pow y 2) z)
(+ 1 (* y (- (* y (pow z 2)) z)))
(+ 1 (* y (- (* y (- (* -1 (* y (pow z 3))) (* -1 (pow z 2)))) z)))
(* -1 (* (pow y 2) (pow z 2)))
(* (pow y 2) (+ (* -1 (pow z 2)) (* y (pow z 3))))
(* (pow y 2) (+ (* -1 (pow z 2)) (* y (+ (* -1 (* y (pow z 4))) (pow z 3)))))
(* (pow y 2) (+ (* -1 (pow z 2)) (* y (+ (* y (+ (* -1 (pow z 4)) (* y (pow z 5)))) (pow z 3)))))
(* y (pow z 2))
(* -1 (* x (* y z)))
(* y (+ (* -1 (* x z)) (/ x y)))
(* -1 (* y z))
(* y (- (/ 1 y) z))
(* y (+ (* -1 z) (/ 1 y)))
(* x (* y z))
(* y (+ (* x z) (/ x y)))
(* y z)
(* y (+ z (/ 1 y)))
(/ 1 (* y z))
(/ (- (/ 1 z) (/ 1 (* y (pow z 2)))) y)
(/ (- (+ (/ 1 z) (/ 1 (* (pow y 2) (pow z 3)))) (/ 1 (* y (pow z 2)))) y)
(/ (- (+ (/ 1 z) (/ 1 (* (pow y 2) (pow z 3)))) (+ (/ 1 (* y (pow z 2))) (/ 1 (* (pow y 3) (pow z 4))))) y)
(* y (- (+ (* -1 z) (/ 1 y)) (/ 1 (* (pow y 2) z))))
(* y (- (+ (* -1 z) (+ (/ 1 y) (/ 1 (* (pow y 3) (pow z 2))))) (/ 1 (* (pow y 2) z))))
(* -1 (* y (+ (* -1 (/ x y)) (* x z))))
(* -1 (* y (- z (/ 1 y))))
(* -1 (* y (sqrt z)))
(* -1 (/ (- (/ 1 (* y (pow z 2))) (/ 1 z)) y))
(* -1 (/ (- (* -1 (/ (- (/ 1 (* y (pow z 3))) (/ 1 (pow z 2))) y)) (/ 1 z)) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* y (pow z 4))) (/ 1 (pow z 3))) y)) (/ 1 (pow z 2))) y)) (/ 1 z)) y))
(* -1 (* y (- (* -1 z) (/ 1 y))))
(* -1 (* y (+ z (* -1 (/ (- 1 (/ 1 (* y z))) y)))))
(* -1 (* y (+ z (* -1 (/ (+ 1 (* -1 (/ (- (/ 1 z) (/ 1 (* y (pow z 2)))) y))) y)))))
(* -1 z)
(+ 1 (* z (- (* (pow y 2) z) y)))
(+ 1 (* z (- (* z (- (* -1 (* (pow y 3) z)) (* -1 (pow y 2)))) y)))
(* (pow z 2) (+ (* -1 (pow y 2)) (* (pow y 3) z)))
(* (pow z 2) (+ (* -1 (pow y 2)) (* z (+ (* -1 (* (pow y 4) z)) (pow y 3)))))
(* (pow z 2) (+ (* -1 (pow y 2)) (* z (+ (* z (+ (* -1 (pow y 4)) (* (pow y 5) z))) (pow y 3)))))
(* z (+ (* -1 (* x y)) (/ x z)))
(* z (- (/ 1 z) y))
(* z (+ (* -1 y) (/ 1 z)))
(* z (+ (* x y) (/ x z)))
(* z (+ y (/ 1 z)))
(/ (- (/ 1 y) (/ 1 (* (pow y 2) z))) z)
(/ (- (+ (/ 1 y) (/ 1 (* (pow y 3) (pow z 2)))) (/ 1 (* (pow y 2) z))) z)
(/ (- (+ (/ 1 y) (/ 1 (* (pow y 3) (pow z 2)))) (+ (/ 1 (* (pow y 2) z)) (/ 1 (* (pow y 4) (pow z 3))))) z)
(* z (- (+ (* -1 y) (/ 1 z)) (/ 1 (* y (pow z 2)))))
(* z (- (+ (* -1 y) (+ (/ 1 z) (/ 1 (* (pow y 2) (pow z 3))))) (/ 1 (* y (pow z 2)))))
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(* -1 (* z (- y (/ 1 z))))
(* -1 (* x (* y (* z (pow (sqrt -1) 2)))))
(* -1 (* z (+ (* -1 (/ x z)) (* x (* y (pow (sqrt -1) 2))))))
(* -1 (* y (* z (pow (sqrt -1) 2))))
(* -1 (* z (- (* y (pow (sqrt -1) 2)) (/ 1 z))))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (/ (- (/ 1 (* (pow y 2) z)) (/ 1 y)) z))
(* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow y 3) z)) (/ 1 (pow y 2))) z)) (/ 1 y)) z))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow y 4) z)) (/ 1 (pow y 3))) z)) (/ 1 (pow y 2))) z)) (/ 1 y)) z))
(* -1 (* z (- (* -1 y) (/ 1 z))))
(* -1 (* z (+ y (* -1 (/ (- 1 (/ 1 (* y z))) z)))))
(* -1 (* z (+ y (* -1 (/ (+ 1 (* -1 (/ (- (/ 1 y) (/ 1 (* (pow y 2) z))) z))) z)))))

Outputs
(* x (+ 1 (* -1 (* y z))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) x)
(* x z)
(*.f64 z x)
(* x (- 1 (* y z)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) x)
(* x (+ 1 (* y z)))
(*.f64 (fma.f64 y z #s(literal 1 binary64)) x)
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(/.f64 (.f64 (fma.f64 (neg.f64 y) (.f64 (*.f64 z z) y) #s(literal 1 binary64)) x) (fma.f64 y z #s(literal 1 binary64)))
(* -1 (* x (- (* y z) 1)))
(.f64 (neg.f64 x) (-.f64 (.f64 y z) #s(literal 1 binary64)))
x
(+ x (* -1 (* x (* y z))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) x)
(* -1 y)
(neg.f64 y)
1
#s(literal 1 binary64)
(+ 1 (* -1 (* y z)))
(-.f64 #s(literal 1 binary64) (*.f64 y z))
(+ x (* x (* y z)))
(*.f64 (fma.f64 y z #s(literal 1 binary64)) x)
(+ 1 (* y z))
(fma.f64 y z #s(literal 1 binary64))
(* y (sqrt z))
(*.f64 (sqrt.f64 z) y)
(* (pow y 2) z)
(.f64 (.f64 y y) z)
(+ 1 (* y (- (* y (pow z 2)) z)))
(fma.f64 (-.f64 (.f64 (.f64 z z) y) z) y #s(literal 1 binary64))
(+ 1 (* y (- (* y (- (* -1 (* y (pow z 3))) (* -1 (pow z 2)))) z)))
(fma.f64 (-.f64 (.f64 (.f64 (.f64 z z) (-.f64 #s(literal 1 binary64) (.f64 y z))) y) z) y #s(literal 1 binary64))
(* -1 (* (pow y 2) (pow z 2)))
(.f64 (neg.f64 y) (.f64 (*.f64 z z) y))
(* (pow y 2) (+ (* -1 (pow z 2)) (* y (pow z 3))))
(.f64 (.f64 (.f64 z z) (fma.f64 y z #s(literal -1 binary64))) (.f64 y y))
(* (pow y 2) (+ (* -1 (pow z 2)) (* y (+ (* -1 (* y (pow z 4))) (pow z 3)))))
(.f64 (.f64 (fma.f64 (neg.f64 z) z (*.f64 (fma.f64 (neg.f64 y) (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 3 binary64))) y)) y) y)
(* (pow y 2) (+ (* -1 (pow z 2)) (* y (+ (* y (+ (* -1 (pow z 4)) (* y (pow z 5)))) (pow z 3)))))
(.f64 (.f64 (fma.f64 (neg.f64 z) z (*.f64 (fma.f64 (fma.f64 (pow.f64 z #s(literal 5 binary64)) y (neg.f64 (pow.f64 z #s(literal 4 binary64)))) y (pow.f64 z #s(literal 3 binary64))) y)) y) y)
(* y (pow z 2))
(.f64 (.f64 z z) y)
(* -1 (* x (* y z)))
(.f64 (neg.f64 x) (.f64 y z))
(* y (+ (* -1 (* x z)) (/ x y)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) x)
(* -1 (* y z))
(*.f64 (neg.f64 y) z)
(* y (- (/ 1 y) z))
(-.f64 #s(literal 1 binary64) (*.f64 y z))
(* y (+ (* -1 z) (/ 1 y)))
(-.f64 #s(literal 1 binary64) (*.f64 y z))
(* x (* y z))
(.f64 (.f64 z x) y)
(* y (+ (* x z) (/ x y)))
(*.f64 (fma.f64 y z #s(literal 1 binary64)) x)
(* y z)
(*.f64 y z)
(* y (+ z (/ 1 y)))
(fma.f64 y z #s(literal 1 binary64))
(/ 1 (* y z))
(/.f64 (/.f64 #s(literal 1 binary64) z) y)
(/ (- (/ 1 z) (/ 1 (* y (pow z 2)))) y)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) z) y)) (*.f64 y z))
(/ (- (+ (/ 1 z) (/ 1 (* (pow y 2) (pow z 3)))) (/ 1 (* y (pow z 2)))) y)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) z) y)) (*.f64 y z))) z) y)
(/ (- (+ (/ 1 z) (/ 1 (* (pow y 2) (pow z 3)))) (+ (/ 1 (* y (pow z 2))) (/ 1 (* (pow y 3) (pow z 4))))) y)
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) z) y)) (*.f64 y z))) z) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 y #s(literal 3 binary64)))) y)
(* y (- (+ (* -1 z) (/ 1 y)) (/ 1 (* (pow y 2) z))))
(*.f64 (-.f64 y (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) z) y)) z)) (neg.f64 z))
(* y (- (+ (* -1 z) (+ (/ 1 y) (/ 1 (* (pow y 3) (pow z 2))))) (/ 1 (* (pow y 2) z))))
(neg.f64 (fma.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) z) y)) (.f64 y z)) #s(literal -1 binary64)) #s(literal 1 binary64) (.f64 y z)))
(* -1 (* y (+ (* -1 (/ x y)) (* x z))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) x)
(* -1 (* y (- z (/ 1 y))))
(-.f64 #s(literal 1 binary64) (*.f64 y z))
(* -1 (* y (sqrt z)))
(*.f64 (neg.f64 y) (sqrt.f64 z))
(* -1 (/ (- (/ 1 (* y (pow z 2))) (/ 1 z)) y))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) z)) (/.f64 #s(literal 1 binary64) y)) (neg.f64 z))
(* -1 (/ (- (* -1 (/ (- (/ 1 (* y (pow z 3))) (/ 1 (pow z 2))) y)) (/ 1 z)) y))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) y)) (/.f64 (/.f64 #s(literal 1 binary64) z) z)) (neg.f64 y)) (/.f64 #s(literal 1 binary64) z)) (neg.f64 y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* y (pow z 4))) (/ 1 (pow z 3))) y)) (/ 1 (pow z 2))) y)) (/ 1 z)) y))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 4 binary64)) y)) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 y)) (/.f64 (/.f64 #s(literal 1 binary64) z) z)) (neg.f64 y)) (/.f64 #s(literal 1 binary64) z)) (neg.f64 y))
(* -1 (* y (- (* -1 z) (/ 1 y))))
(fma.f64 y z #s(literal 1 binary64))
(* -1 (* y (+ z (* -1 (/ (- 1 (/ 1 (* y z))) y)))))
(*.f64 (-.f64 y (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) z) y)) z)) (neg.f64 z))
(* -1 (* y (+ z (* -1 (/ (+ 1 (* -1 (/ (- (/ 1 z) (/ 1 (* y (pow z 2)))) y))) y)))))
(neg.f64 (fma.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) z) y)) (.f64 y z)) #s(literal -1 binary64)) #s(literal 1 binary64) (.f64 y z)))
(* -1 z)
(neg.f64 z)
(+ 1 (* z (- (* (pow y 2) z) y)))
(fma.f64 (-.f64 (.f64 (.f64 y y) z) y) z #s(literal 1 binary64))
(+ 1 (* z (- (* z (- (* -1 (* (pow y 3) z)) (* -1 (pow y 2)))) y)))
(fma.f64 (-.f64 (.f64 (fma.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) z (.f64 y y)) z) y) z #s(literal 1 binary64))
(* (pow z 2) (+ (* -1 (pow y 2)) (* (pow y 3) z)))
(.f64 (.f64 (.f64 z z) (fma.f64 y z #s(literal -1 binary64))) (.f64 y y))
(* (pow z 2) (+ (* -1 (pow y 2)) (* z (+ (* -1 (* (pow y 4) z)) (pow y 3)))))
(.f64 (.f64 (fma.f64 (neg.f64 y) y (*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (neg.f64 z) (pow.f64 y #s(literal 3 binary64))) z)) z) z)
(* (pow z 2) (+ (* -1 (pow y 2)) (* z (+ (* z (+ (* -1 (pow y 4)) (* (pow y 5) z))) (pow y 3)))))
(.f64 (.f64 (fma.f64 (neg.f64 y) y (*.f64 (fma.f64 (fma.f64 (pow.f64 y #s(literal 5 binary64)) z (neg.f64 (pow.f64 y #s(literal 4 binary64)))) z (pow.f64 y #s(literal 3 binary64))) z)) z) z)
(* z (+ (* -1 (* x y)) (/ x z)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) x)
(* z (- (/ 1 z) y))
(-.f64 #s(literal 1 binary64) (*.f64 y z))
(* z (+ (* -1 y) (/ 1 z)))
(-.f64 #s(literal 1 binary64) (*.f64 y z))
(* z (+ (* x y) (/ x z)))
(*.f64 (fma.f64 y z #s(literal 1 binary64)) x)
(* z (+ y (/ 1 z)))
(fma.f64 y z #s(literal 1 binary64))
(/ (- (/ 1 y) (/ 1 (* (pow y 2) z))) z)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) z) y)) (*.f64 y z))
(/ (- (+ (/ 1 y) (/ 1 (* (pow y 3) (pow z 2)))) (/ 1 (* (pow y 2) z))) z)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) z) y)) (*.f64 y z))) z) y)
(/ (- (+ (/ 1 y) (/ 1 (* (pow y 3) (pow z 2)))) (+ (/ 1 (* (pow y 2) z)) (/ 1 (* (pow y 4) (pow z 3))))) z)
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) z) y)) (*.f64 y z))) y) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 z #s(literal 3 binary64)))) z)
(* z (- (+ (* -1 y) (/ 1 z)) (/ 1 (* y (pow z 2)))))
(*.f64 (-.f64 y (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) z) y)) z)) (neg.f64 z))
(* z (- (+ (* -1 y) (+ (/ 1 z) (/ 1 (* (pow y 2) (pow z 3))))) (/ 1 (* y (pow z 2)))))
(neg.f64 (fma.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) z) y)) (.f64 y z)) #s(literal -1 binary64)) #s(literal 1 binary64) (.f64 y z)))
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) x)
(* -1 (* z (- y (/ 1 z))))
(-.f64 #s(literal 1 binary64) (*.f64 y z))
(* -1 (* x (* y (* z (pow (sqrt -1) 2)))))
(.f64 (.f64 z x) y)
(* -1 (* z (+ (* -1 (/ x z)) (* x (* y (pow (sqrt -1) 2))))))
(*.f64 (fma.f64 y z #s(literal 1 binary64)) x)
(* -1 (* y (* z (pow (sqrt -1) 2))))
(*.f64 y z)
(* -1 (* z (- (* y (pow (sqrt -1) 2)) (/ 1 z))))
(fma.f64 y z #s(literal 1 binary64))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(*.f64 (sqrt.f64 z) y)
(* -1 (/ (- (/ 1 (* (pow y 2) z)) (/ 1 y)) z))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) z)) (/.f64 #s(literal 1 binary64) y)) (neg.f64 z))
(* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow y 3) z)) (/ 1 (pow y 2))) z)) (/ 1 y)) z))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) y)) (/.f64 (/.f64 #s(literal 1 binary64) z) z)) (neg.f64 y)) (/.f64 #s(literal 1 binary64) z)) (neg.f64 y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow y 4) z)) (/ 1 (pow y 3))) z)) (/ 1 (pow y 2))) z)) (/ 1 y)) z))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) z)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 z)) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) (neg.f64 z)) (/.f64 #s(literal 1 binary64) y)) (neg.f64 z))
(* -1 (* z (- (* -1 y) (/ 1 z))))
(fma.f64 y z #s(literal 1 binary64))
(* -1 (* z (+ y (* -1 (/ (- 1 (/ 1 (* y z))) z)))))
(*.f64 (-.f64 y (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) z) y)) z)) (neg.f64 z))
(* -1 (* z (+ y (* -1 (/ (+ 1 (* -1 (/ (- (/ 1 y) (/ 1 (* (pow y 2) z))) z))) z)))))
(neg.f64 (fma.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) z) y)) (.f64 y z)) #s(literal -1 binary64)) #s(literal 1 binary64) (.f64 y z)))

rewrite246.0ms (3.3%)

Memory

-24.4MiB live, 120.6MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	30	153
0	56	114
1	208	109
2	1398	95
0	9320	95

Stop Event

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

Counts

19 → 1 305

Calls

Call 1

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

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

eval80.0ms (1.1%)

Memory: -2.3MiB live, 42.8MiB allocated
Compiler: Compiled 12 973 to 1 790 computations (86.2% saved)

prune11.0ms (0.2%)

Memory

20.0MiB live, 20.0MiB allocated

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	474	3	477
Fresh	1	2	3
Picked	1	4	5
Done	0	0	0
Total	476	9	485

Accuracy

100.0%

Counts

485 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	90.9%	(fma.f64 (*.f64 x (neg.f64 y)) z x)
✓	96.4%	(fma.f64 (*.f64 x z) (neg.f64 y) x)
✓	52.1%	(.f64 x (fma.f64 (sqrt.f64 (.f64 (*.f64 y y) z)) (sqrt.f64 z) #s(literal 1 binary64)))
✓	95.1%	(*.f64 x (fma.f64 (neg.f64 z) y #s(literal 1 binary64)))
▶	70.3%	(.f64 x (fma.f64 #s(approx (sqrt ( (* y y) z)) (*.f64 (neg.f64 y) (sqrt.f64 z))) (sqrt.f64 z) #s(literal 1 binary64)))
▶	45.3%	(.f64 x #s(approx (- 1 ( y z)) (*.f64 (neg.f64 y) z)))
✓	51.5%	(.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64)))
▶	69.1%	#s(approx (* x (+ (pow (+ (* z y) 1) -1) (/ (* (neg (* (* z z) y)) y) (+ (* z y) 1)))) (/.f64 (.f64 (fma.f64 (neg.f64 y) (.f64 (*.f64 z z) y) #s(literal 1 binary64)) x) (fma.f64 y z #s(literal 1 binary64))))
▶	2.9%	#s(approx (* x (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1)) (.f64 (.f64 z x) y))

Compiler

Compiled 229 to 166 computations (27.5% saved)

simplify135.0ms (1.8%)

Memory

26.9MiB live, 26.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(fma.f64 (neg.f64 y) (.f64 (.f64 z z) y) #s(literal 1 binary64))
cost-diff	0	(.f64 (fma.f64 (neg.f64 y) (.f64 (*.f64 z z) y) #s(literal 1 binary64)) x)
cost-diff	0	(/.f64 (.f64 (fma.f64 (neg.f64 y) (.f64 (*.f64 z z) y) #s(literal 1 binary64)) x) (fma.f64 y z #s(literal 1 binary64)))
cost-diff	0	#s(approx (* x (+ (pow (+ (* z y) 1) -1) (/ (* (neg (* (* z z) y)) y) (+ (* z y) 1)))) (/.f64 (.f64 (fma.f64 (neg.f64 y) (.f64 (*.f64 z z) y) #s(literal 1 binary64)) x) (fma.f64 y z #s(literal 1 binary64))))
cost-diff	0	(*.f64 (neg.f64 y) (sqrt.f64 z))
cost-diff	0	#s(approx (sqrt (* (* y y) z)) (*.f64 (neg.f64 y) (sqrt.f64 z)))
cost-diff	0	(fma.f64 #s(approx (sqrt (* (* y y) z)) (*.f64 (neg.f64 y) (sqrt.f64 z))) (sqrt.f64 z) #s(literal 1 binary64))
cost-diff	0	(.f64 x (fma.f64 #s(approx (sqrt ( (* y y) z)) (*.f64 (neg.f64 y) (sqrt.f64 z))) (sqrt.f64 z) #s(literal 1 binary64)))
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	(*.f64 z x)
cost-diff	0	(.f64 (.f64 z x) y)
cost-diff	0	#s(approx (* x (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1)) (.f64 (.f64 z x) y))
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	45	231
0	65	229
1	142	223
2	351	223
3	1220	223
4	2788	223
5	4069	223
6	5493	223
7	7341	223
0	8014	222

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

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

localize223.0ms (3%)

Memory

-9.0MiB live, 38.8MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	1.9175214682621897	(.f64 (fma.f64 (neg.f64 y) (.f64 (*.f64 z z) y) #s(literal 1 binary64)) x)
accuracy	2.3527991033707556	(fma.f64 (neg.f64 y) (.f64 (.f64 z z) y) #s(literal 1 binary64))
accuracy	4.357891474789519	(.f64 (.f64 z z) y)
accuracy	7.415653589640616	(/.f64 (.f64 (fma.f64 (neg.f64 y) (.f64 (*.f64 z z) y) #s(literal 1 binary64)) x) (fma.f64 y z #s(literal 1 binary64)))
accuracy	0.10546875	(fma.f64 #s(approx (sqrt (* (* y y) z)) (*.f64 (neg.f64 y) (sqrt.f64 z))) (sqrt.f64 z) #s(literal 1 binary64))
accuracy	0.171875	(*.f64 (neg.f64 y) (sqrt.f64 z))
accuracy	2.1619223391089513	(.f64 x (fma.f64 #s(approx (sqrt ( (* y y) z)) (*.f64 (neg.f64 y) (sqrt.f64 z))) (sqrt.f64 z) #s(literal 1 binary64)))
accuracy	11.688208075876455	#s(approx (sqrt (* (* y y) z)) (*.f64 (neg.f64 y) (sqrt.f64 z)))
accuracy	0.0	(*.f64 (neg.f64 y) z)
accuracy	0.0	(neg.f64 y)
accuracy	2.1697348391089513	(.f64 x #s(approx (- 1 ( y z)) (*.f64 (neg.f64 y) z)))
accuracy	23.023192496225338	#s(approx (- 1 (* y z)) (*.f64 (neg.f64 y) z))
accuracy	0.0	(*.f64 z x)
accuracy	1.947625139938051	(.f64 (.f64 z x) y)
accuracy	40.62136732565003	#s(approx (* x (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1)) (.f64 (.f64 z x) y))
accuracy	0.0	(*.f64 x (neg.f64 y))
accuracy	0.0	(neg.f64 y)
accuracy	3.089052168322436	(fma.f64 (*.f64 x (neg.f64 y)) z x)

Samples

63.0ms	189×	0	valid
16.0ms	67×	0	invalid

Compiler

Compiled 190 to 40 computations (78.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-mult: 26.0ms (56.9% of total)

ival-add: 7.0ms (15.3% of total)

ival-div: 3.0ms (6.6% of total)

ival-sqrt: 3.0ms (6.6% of total)

ival-pow: 3.0ms (6.6% of total)

ival-neg: 2.0ms (4.4% of total)

ival-sub: 1.0ms (2.2% of total)

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

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

exact: 0.0ms (0% of total)

series130.0ms (1.7%)

Memory

-34.3MiB live, 19.1MiB allocated

Counts

18 → 50

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
94.0ms	y	@	inf	((+ (* (* x (neg y)) z) x) (* x (neg y)) (neg y) (* x (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1)) (* (* z x) y) (* z x) (* x (- 1 (* y z))) (- 1 (* y z)) (* (neg y) z) (* x (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1)) (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1) (sqrt (* (* y y) z)) (* (neg y) (sqrt z)) (* x (+ (pow (+ (* z y) 1) -1) (/ (* (neg (* (* z z) y)) y) (+ (* z y) 1)))) (/ (* (+ (* (neg y) (* (* z z) y)) 1) x) (+ (* y z) 1)) (* (+ (* (neg y) (* (* z z) y)) 1) x) (+ (* (neg y) (* (* z z) y)) 1) (* (* z z) y))
10.0ms	x	@	-inf	((+ (* (* x (neg y)) z) x) (* x (neg y)) (neg y) (* x (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1)) (* (* z x) y) (* z x) (* x (- 1 (* y z))) (- 1 (* y z)) (* (neg y) z) (* x (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1)) (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1) (sqrt (* (* y y) z)) (* (neg y) (sqrt z)) (* x (+ (pow (+ (* z y) 1) -1) (/ (* (neg (* (* z z) y)) y) (+ (* z y) 1)))) (/ (* (+ (* (neg y) (* (* z z) y)) 1) x) (+ (* y z) 1)) (* (+ (* (neg y) (* (* z z) y)) 1) x) (+ (* (neg y) (* (* z z) y)) 1) (* (* z z) y))
4.0ms	z	@	-inf	((+ (* (* x (neg y)) z) x) (* x (neg y)) (neg y) (* x (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1)) (* (* z x) y) (* z x) (* x (- 1 (* y z))) (- 1 (* y z)) (* (neg y) z) (* x (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1)) (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1) (sqrt (* (* y y) z)) (* (neg y) (sqrt z)) (* x (+ (pow (+ (* z y) 1) -1) (/ (* (neg (* (* z z) y)) y) (+ (* z y) 1)))) (/ (* (+ (* (neg y) (* (* z z) y)) 1) x) (+ (* y z) 1)) (* (+ (* (neg y) (* (* z z) y)) 1) x) (+ (* (neg y) (* (* z z) y)) 1) (* (* z z) y))
4.0ms	x	@	0	((+ (* (* x (neg y)) z) x) (* x (neg y)) (neg y) (* x (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1)) (* (* z x) y) (* z x) (* x (- 1 (* y z))) (- 1 (* y z)) (* (neg y) z) (* x (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1)) (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1) (sqrt (* (* y y) z)) (* (neg y) (sqrt z)) (* x (+ (pow (+ (* z y) 1) -1) (/ (* (neg (* (* z z) y)) y) (+ (* z y) 1)))) (/ (* (+ (* (neg y) (* (* z z) y)) 1) x) (+ (* y z) 1)) (* (+ (* (neg y) (* (* z z) y)) 1) x) (+ (* (neg y) (* (* z z) y)) 1) (* (* z z) y))
4.0ms	x	@	inf	((+ (* (* x (neg y)) z) x) (* x (neg y)) (neg y) (* x (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1)) (* (* z x) y) (* z x) (* x (- 1 (* y z))) (- 1 (* y z)) (* (neg y) z) (* x (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1)) (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1) (sqrt (* (* y y) z)) (* (neg y) (sqrt z)) (* x (+ (pow (+ (* z y) 1) -1) (/ (* (neg (* (* z z) y)) y) (+ (* z y) 1)))) (/ (* (+ (* (neg y) (* (* z z) y)) 1) x) (+ (* y z) 1)) (* (+ (* (neg y) (* (* z z) y)) 1) x) (+ (* (neg y) (* (* z z) y)) 1) (* (* z z) y))

simplify204.0ms (2.7%)

Memory

17.2MiB live, 63.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	116	345
1	385	324
2	1118	324
3	3942	324
4	7998	324
0	8001	313

Stop Event

1×	iter limit
1×	node limit

Counts

50 → 49

Calls

Call 1

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

rewrite605.0ms (8.2%)

Memory

-0.7MiB live, 232.0MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	45	199
0	65	187
1	255	154
2	1659	130
0	9569	130

Stop Event

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

Counts

18 → 874

Calls

Call 1

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

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

eval177.0ms (2.4%)

Memory: -3.6MiB live, 183.4MiB allocated
Compiler: Compiled 38 566 to 3 368 computations (91.3% saved)

prune73.0ms (1%)

Memory

3.2MiB live, 50.9MiB allocated

Pruning

10 alts after pruning (1 fresh and 9 done)

	Pruned	Kept	Total
New	784	1	785
Fresh	0	0	0
Picked	0	5	5
Done	0	4	4
Total	784	10	794

Accuracy

100.0%

Counts

794 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	90.9%	(fma.f64 (*.f64 x (neg.f64 y)) z x)
✓	96.4%	(fma.f64 (*.f64 x z) (neg.f64 y) x)
✓	52.1%	(.f64 x (fma.f64 (sqrt.f64 (.f64 (*.f64 y y) z)) (sqrt.f64 z) #s(literal 1 binary64)))
✓	95.1%	(*.f64 x (fma.f64 (neg.f64 z) y #s(literal 1 binary64)))
✓	70.3%	(.f64 x (fma.f64 #s(approx (sqrt ( (* y y) z)) (*.f64 (neg.f64 y) (sqrt.f64 z))) (sqrt.f64 z) #s(literal 1 binary64)))
✓	45.3%	(.f64 x #s(approx (- 1 ( y z)) (*.f64 (neg.f64 y) z)))
✓	51.5%	(.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64)))
✓	69.1%	#s(approx (* x (+ (pow (+ (* z y) 1) -1) (/ (* (neg (* (* z z) y)) y) (+ (* z y) 1)))) (/.f64 (.f64 (fma.f64 (neg.f64 y) (.f64 (*.f64 z z) y) #s(literal 1 binary64)) x) (fma.f64 y z #s(literal 1 binary64))))
✓	2.9%	#s(approx (* x (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1)) (.f64 (.f64 z x) y))
▶	2.9%	#s(approx (* x (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1)) (.f64 (.f64 y x) z))

Compiler

Compiled 151 to 113 computations (25.2% saved)

simplify44.0ms (0.6%)

Memory

-12.8MiB live, 42.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	30
0	16	30
1	38	30
2	96	30
3	217	30
4	370	30
5	586	30
6	730	30
7	751	30
8	764	30
9	769	30
10	769	30
11	809	30
12	889	30
0	889	29

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (* x (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1)) (.f64 (.f64 y x) z))
(.f64 (.f64 y x) z)
(*.f64 y x)
y
x
z

Outputs
#s(approx (* x (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1)) (.f64 (.f64 y x) z))
(.f64 (.f64 y x) z)
(*.f64 y x)
y
x
z

localize42.0ms (0.6%)

Memory

1.1MiB live, 48.3MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 y x)
accuracy	4.50958889996994	(.f64 (.f64 y x) z)
accuracy	40.62136732565003	#s(approx (* x (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1)) (.f64 (.f64 y x) z))

Samples

15.0ms	189×	0	valid
5.0ms	67×	0	invalid

Compiler

Compiled 26 to 15 computations (42.3% saved)

Precisions

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

ival-mult: 9.0ms (68.4% of total)

ival-sqrt: 3.0ms (22.8% of total)

ival-add: 1.0ms (7.6% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Memory

14.7MiB live, 14.7MiB allocated

Counts

3 → 11

Calls

Call 1

Inputs
#s(approx (* x (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1)) (.f64 (.f64 y x) z))
(.f64 (.f64 y x) z)
(*.f64 y x)

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

Calls

9 calls:

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

simplify166.0ms (2.2%)

Memory

10.2MiB live, 145.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	66
1	122	66
2	453	65
3	1223	62
4	2946	62
5	5008	62
6	5760	62
7	6047	62
8	6143	62
9	6727	62
0	8021	57

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 10

Calls

Call 1

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

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

rewrite148.0ms (2%)

Memory

28.4MiB live, 217.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	27
0	16	26
1	61	26
2	328	21
3	2622	21
0	8929	20

Stop Event

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

Counts

3 → 27

Calls

Call 1

Inputs
#s(approx (* x (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1)) (.f64 (.f64 y x) z))
(.f64 (.f64 y x) z)
(*.f64 y x)

Outputs
#s(approx (* x (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1)) (.f64 (.f64 y x) z))
(.f64 (.f64 (.f64 (sqrt.f64 z) x) (sqrt.f64 (.f64 (sqrt.f64 z) y))) (sqrt.f64 (*.f64 (sqrt.f64 z) y)))
(.f64 (.f64 (.f64 (sqrt.f64 z) x) (sqrt.f64 y)) (sqrt.f64 (.f64 z y)))
(.f64 (.f64 (*.f64 (sqrt.f64 z) x) (sqrt.f64 z)) y)
(.f64 (.f64 (.f64 (.f64 (sqrt.f64 z) x) y) (pow.f64 z #s(literal 1/4 binary64))) (pow.f64 z #s(literal 1/4 binary64)))
(.f64 (.f64 (*.f64 (sqrt.f64 z) x) y) (sqrt.f64 z))
(.f64 (.f64 (sqrt.f64 z) x) (*.f64 (sqrt.f64 z) y))
(.f64 (pow.f64 z #s(literal 1/4 binary64)) (.f64 (pow.f64 z #s(literal 1/4 binary64)) (.f64 (.f64 (sqrt.f64 z) x) y)))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 z) y)) (.f64 (sqrt.f64 (.f64 (sqrt.f64 z) y)) (*.f64 (sqrt.f64 z) x)))
(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 (.f64 z y)) (.f64 (sqrt.f64 z) x)))
(.f64 (.f64 z x) y)
(.f64 (.f64 (*.f64 y x) z) #s(literal 1 binary64))
(.f64 (.f64 y x) z)
(.f64 #s(literal 1 binary64) (.f64 (*.f64 y x) z))
(.f64 (.f64 z y) x)
(.f64 (sqrt.f64 z) (.f64 (*.f64 (sqrt.f64 z) x) y))
(.f64 (.f64 (sqrt.f64 z) y) (*.f64 (sqrt.f64 z) x))
(.f64 z (.f64 y x))
(.f64 y (.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) x)))
(.f64 y (.f64 z x))
(.f64 x (.f64 z y))
(.f64 (.f64 y #s(literal 1 binary64)) x)
(.f64 (.f64 y x) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 y x))
(*.f64 y x)
(.f64 x (.f64 #s(literal 1 binary64) y))
(*.f64 x y)

eval5.0ms (0.1%)

Memory: -39.1MiB live, 8.8MiB allocated
Compiler: Compiled 731 to 107 computations (85.4% saved)

prune6.0ms (0.1%)

Memory

15.4MiB live, 15.4MiB allocated

Pruning

11 alts after pruning (1 fresh and 10 done)

	Pruned	Kept	Total
New	32	1	33
Fresh	0	0	0
Picked	0	1	1
Done	0	9	9
Total	32	11	43

Accuracy

100.0%

Counts

43 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	90.9%	(fma.f64 (*.f64 x (neg.f64 y)) z x)
✓	96.4%	(fma.f64 (*.f64 x z) (neg.f64 y) x)
✓	52.1%	(.f64 x (fma.f64 (sqrt.f64 (.f64 (*.f64 y y) z)) (sqrt.f64 z) #s(literal 1 binary64)))
✓	95.1%	(*.f64 x (fma.f64 (neg.f64 z) y #s(literal 1 binary64)))
✓	70.3%	(.f64 x (fma.f64 #s(approx (sqrt ( (* y y) z)) (*.f64 (neg.f64 y) (sqrt.f64 z))) (sqrt.f64 z) #s(literal 1 binary64)))
✓	45.3%	(.f64 x #s(approx (- 1 ( y z)) (*.f64 (neg.f64 y) z)))
✓	51.5%	(.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64)))
✓	69.1%	#s(approx (* x (+ (pow (+ (* z y) 1) -1) (/ (* (neg (* (* z z) y)) y) (+ (* z y) 1)))) (/.f64 (.f64 (fma.f64 (neg.f64 y) (.f64 (*.f64 z z) y) #s(literal 1 binary64)) x) (fma.f64 y z #s(literal 1 binary64))))
	47.9%	#s(approx (* x (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1)) (.f64 (.f64 (neg.f64 x) z) y))
✓	2.9%	#s(approx (* x (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1)) (.f64 (.f64 z x) y))
✓	2.9%	#s(approx (* x (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1)) (.f64 (.f64 y x) z))

Compiler

Compiled 384 to 207 computations (46.1% saved)

regimes28.0ms (0.4%)

Memory

16.2MiB live, 63.4MiB allocated

Counts

14 → 3

Calls

Call 1

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

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

Calls

6 calls:

5.0ms	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))
4.0ms	z
4.0ms	x
4.0ms	y
4.0ms	(*.f64 y z)

Results

Accuracy	Segments	Branch
98.3%	2	`x`
96.4%	1	`y`
96.4%	1	`z`
99.9%	3	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))`
99.9%	3	`(-.f64 #s(literal 1 binary64) (*.f64 y z))`
99.9%	3	`(*.f64 y z)`

Compiler

Compiled 18 to 26 computations (-44.4% saved)

regimes10.0ms (0.1%)

Memory

-24.0MiB live, 22.9MiB allocated

Counts

8 → 2

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
98.3%	2	`x`
99.9%	3	`(-.f64 #s(literal 1 binary64) (*.f64 y z))`
99.9%	3	`(*.f64 y z)`

Compiler

Compiled 9 to 13 computations (-44.4% saved)

regimes8.0ms (0.1%)

Memory

20.7MiB live, 20.7MiB allocated

Counts

7 → 3

Calls

Call 1

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

Outputs

#s(approx (* x (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1)) (*.f64 (*.f64 (neg.f64 x) z) y))

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

#s(approx (* x (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1)) (*.f64 (*.f64 (neg.f64 x) z) y))

Calls

3 calls:

3.0ms	x
3.0ms	(*.f64 y z)
2.0ms	(-.f64 #s(literal 1 binary64) (*.f64 y z))

Results

Accuracy	Segments	Branch
99.9%	3	`(-.f64 #s(literal 1 binary64) (*.f64 y z))`
99.9%	3	`(*.f64 y z)`
95.1%	1	`x`

Compiler

Compiled 9 to 13 computations (-44.4% saved)

regimes5.0ms (0.1%)

Memory

12.7MiB live, 12.7MiB allocated

Counts

6 → 3

Calls

Call 1

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

Outputs

#s(approx (* x (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1)) (*.f64 (*.f64 (neg.f64 x) z) y))

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

#s(approx (* x (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1)) (*.f64 (*.f64 (neg.f64 x) z) y))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
99.9%	3	`(-.f64 #s(literal 1 binary64) (*.f64 y z))`
99.9%	3	`(*.f64 y z)`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes15.0ms (0.2%)

Memory

-15.9MiB live, 34.7MiB allocated

Counts

5 → 4

Calls

Call 1

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

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

Calls

6 calls:

4.0ms	(*.f64 y z)
2.0ms	x
2.0ms	y
2.0ms	z
2.0ms	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))

Results

Accuracy	Segments	Branch
56.3%	3	`x`
75.1%	3	`z`
76.2%	3	`y`
81.8%	4	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))`
97.0%	4	`(-.f64 #s(literal 1 binary64) (*.f64 y z))`
97.0%	4	`(*.f64 y z)`

Compiler

Compiled 18 to 26 computations (-44.4% saved)

regimes4.0ms (0.1%)

Memory

11.5MiB live, 11.5MiB allocated

Counts

4 → 3

Calls

Call 1

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

Outputs

#s(approx (* x (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1)) (*.f64 (*.f64 (neg.f64 x) z) y))

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

#s(approx (* x (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1)) (*.f64 (*.f64 (neg.f64 x) z) y))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
95.2%	3	`(-.f64 #s(literal 1 binary64) (*.f64 y z))`
95.2%	3	`(*.f64 y z)`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes12.0ms (0.2%)

Memory

-9.5MiB live, 35.7MiB allocated

Accuracy

Total -31.2b remaining (-100.7%)

Threshold costs -31.2b (-100.7%)

Counts

3 → 1

Calls

Call 1

Inputs

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

#s(approx (* x (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1)) (*.f64 (*.f64 y x) z))

#s(approx (* x (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1)) (*.f64 (*.f64 z x) y))

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

Calls

6 calls:

3.0ms	(*.f64 y z)
2.0ms	y
2.0ms	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))
2.0ms	z
2.0ms	x

Results

Accuracy	Segments	Branch
51.5%	1	`x`
51.5%	1	`z`
51.5%	1	`y`
51.5%	1	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))`
51.5%	1	`(-.f64 #s(literal 1 binary64) (*.f64 y z))`
51.5%	1	`(*.f64 y z)`

Compiler

Compiled 18 to 26 computations (-44.4% saved)

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.0315946764244576e+154	3.4645675203234455e+176
0.0ms	-6.525888017352087e+61	-1.839797861655102e+55

Compiler

Compiled 10 to 13 computations (-30% saved)

bsearch6.0ms (0.1%)

Memory

13.2MiB live, 13.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
5.0ms	1.29598578840452e-26	6.480797208779287e-25

Samples

3.0ms

64×

valid

Compiler

Compiled 66 to 73 computations (-10.6% saved)

Precisions

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

ival-mult: 1.0ms (81% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch5.0ms (0.1%)

Memory

-42.0MiB live, 2.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.1870710571007357e+200	7.257765661947193e+203
0.0ms	-6.525888017352087e+61	-1.839797861655102e+55

Compiler

Compiled 10 to 13 computations (-30% saved)

bsearch1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.1870710571007357e+200	7.257765661947193e+203
0.0ms	-6.525888017352087e+61	-1.839797861655102e+55

Compiler

Compiled 10 to 13 computations (-30% saved)

bsearch1.0ms (0%)

Memory

3.1MiB live, 3.1MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.1870710571007357e+200	7.257765661947193e+203
0.0ms	0.9106082141231088	21209642193179.598
0.0ms	-2.623716795227708	-3.705623478243173e-5

Compiler

Compiled 10 to 13 computations (-30% saved)

bsearch1.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.9106082141231088	21209642193179.598
0.0ms	-2.623716795227708	-3.705623478243173e-5

Compiler

Compiled 10 to 13 computations (-30% saved)

simplify45.0ms (0.6%)

Memory

14.8MiB live, 49.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	274
1	98	274
2	169	274
3	293	274
4	483	274
5	604	274
6	691	274
7	702	274

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 y z) #s(literal -50000000000000001751099842971580586523040158899155912802435072 binary64)) #s(approx ( x (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1)) (.f64 (.f64 (neg.f64 x) z) y)) (if (<=.f64 (.f64 y z) #s(literal 50000000000000000358811577045508415204030740594580155903356386073125330840244170064133303492288094665193286906648381068130040767114734612976366826838556672 binary64)) (.f64 x (fma.f64 (neg.f64 z) y #s(literal 1 binary64))) (fma.f64 (*.f64 x (neg.f64 y)) z x)))
(if (<=.f64 x #s(literal 5226737155905615/174224571863520493293247799005065324265472 binary64)) (fma.f64 (.f64 x z) (neg.f64 y) x) (.f64 x (fma.f64 (neg.f64 z) y #s(literal 1 binary64))))
(if (<=.f64 (.f64 y z) #s(literal -50000000000000001751099842971580586523040158899155912802435072 binary64)) #s(approx ( x (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1)) (.f64 (.f64 (neg.f64 x) z) y)) (if (<=.f64 (.f64 y z) #s(literal 199999999999999993946624442502072331894900655091004725296483501900693696871108151068392676809412503736055024831947764816364271468736556969278770082094479755742047182133579963622363626612334257709776896 binary64)) (.f64 x (fma.f64 (neg.f64 z) y #s(literal 1 binary64))) #s(approx (* x (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1)) (.f64 (.f64 (neg.f64 x) z) y))))
(if (<=.f64 (.f64 y z) #s(literal -50000000000000001751099842971580586523040158899155912802435072 binary64)) #s(approx ( x (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1)) (.f64 (.f64 (neg.f64 x) z) y)) (if (<=.f64 (.f64 y z) #s(literal 199999999999999993946624442502072331894900655091004725296483501900693696871108151068392676809412503736055024831947764816364271468736556969278770082094479755742047182133579963622363626612334257709776896 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z))) #s(approx ( x (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1)) (.f64 (.f64 (neg.f64 x) z) y))))
(if (<=.f64 (.f64 y z) #s(literal -2 binary64)) #s(approx ( x (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1)) (.f64 (.f64 (neg.f64 x) z) y)) (if (<=.f64 (.f64 y z) #s(literal 1 binary64)) (.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) (if (<=.f64 (.f64 y z) #s(literal 199999999999999993946624442502072331894900655091004725296483501900693696871108151068392676809412503736055024831947764816364271468736556969278770082094479755742047182133579963622363626612334257709776896 binary64)) (.f64 x #s(approx (- 1 (* y z)) (.f64 (neg.f64 y) z))) #s(approx ( x (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1)) (.f64 (.f64 (neg.f64 x) z) y)))))
(if (<=.f64 (.f64 y z) #s(literal -2 binary64)) #s(approx ( x (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1)) (.f64 (.f64 (neg.f64 x) z) y)) (if (<=.f64 (.f64 y z) #s(literal 1 binary64)) (.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) #s(approx (* x (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1)) (.f64 (.f64 (neg.f64 x) z) y))))
(.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64)))

Outputs
(if (<=.f64 (.f64 y z) #s(literal -50000000000000001751099842971580586523040158899155912802435072 binary64)) #s(approx ( x (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1)) (.f64 (.f64 (neg.f64 x) z) y)) (if (<=.f64 (.f64 y z) #s(literal 50000000000000000358811577045508415204030740594580155903356386073125330840244170064133303492288094665193286906648381068130040767114734612976366826838556672 binary64)) (.f64 x (fma.f64 (neg.f64 z) y #s(literal 1 binary64))) (fma.f64 (*.f64 x (neg.f64 y)) z x)))
(if (<=.f64 (.f64 y z) #s(literal -50000000000000001751099842971580586523040158899155912802435072 binary64)) #s(approx ( x (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1)) (.f64 (.f64 (neg.f64 x) z) y)) (if (<=.f64 (.f64 y z) #s(literal 50000000000000000358811577045508415204030740594580155903356386073125330840244170064133303492288094665193286906648381068130040767114734612976366826838556672 binary64)) (.f64 x (fma.f64 (neg.f64 z) y #s(literal 1 binary64))) (fma.f64 (*.f64 (neg.f64 x) y) z x)))
(if (<=.f64 x #s(literal 5226737155905615/174224571863520493293247799005065324265472 binary64)) (fma.f64 (.f64 x z) (neg.f64 y) x) (.f64 x (fma.f64 (neg.f64 z) y #s(literal 1 binary64))))
(if (<=.f64 (.f64 y z) #s(literal -50000000000000001751099842971580586523040158899155912802435072 binary64)) #s(approx ( x (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1)) (.f64 (.f64 (neg.f64 x) z) y)) (if (<=.f64 (.f64 y z) #s(literal 199999999999999993946624442502072331894900655091004725296483501900693696871108151068392676809412503736055024831947764816364271468736556969278770082094479755742047182133579963622363626612334257709776896 binary64)) (.f64 x (fma.f64 (neg.f64 z) y #s(literal 1 binary64))) #s(approx (* x (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1)) (.f64 (.f64 (neg.f64 x) z) y))))
(if (or (<=.f64 (.f64 y z) #s(literal -50000000000000001751099842971580586523040158899155912802435072 binary64)) (not (<=.f64 (.f64 y z) #s(literal 199999999999999993946624442502072331894900655091004725296483501900693696871108151068392676809412503736055024831947764816364271468736556969278770082094479755742047182133579963622363626612334257709776896 binary64)))) #s(approx (* x (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1)) (.f64 (.f64 (neg.f64 x) z) y)) (*.f64 x (fma.f64 (neg.f64 z) y #s(literal 1 binary64))))
(if (<=.f64 (.f64 y z) #s(literal -50000000000000001751099842971580586523040158899155912802435072 binary64)) #s(approx ( x (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1)) (.f64 (.f64 (neg.f64 x) z) y)) (if (<=.f64 (.f64 y z) #s(literal 199999999999999993946624442502072331894900655091004725296483501900693696871108151068392676809412503736055024831947764816364271468736556969278770082094479755742047182133579963622363626612334257709776896 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z))) #s(approx ( x (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1)) (.f64 (.f64 (neg.f64 x) z) y))))
(if (or (<=.f64 (.f64 y z) #s(literal -50000000000000001751099842971580586523040158899155912802435072 binary64)) (not (<=.f64 (.f64 y z) #s(literal 199999999999999993946624442502072331894900655091004725296483501900693696871108151068392676809412503736055024831947764816364271468736556969278770082094479755742047182133579963622363626612334257709776896 binary64)))) #s(approx (* x (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1)) (.f64 (.f64 (neg.f64 x) z) y)) (.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z))))
(if (<=.f64 (.f64 y z) #s(literal -2 binary64)) #s(approx ( x (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1)) (.f64 (.f64 (neg.f64 x) z) y)) (if (<=.f64 (.f64 y z) #s(literal 1 binary64)) (.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) (if (<=.f64 (.f64 y z) #s(literal 199999999999999993946624442502072331894900655091004725296483501900693696871108151068392676809412503736055024831947764816364271468736556969278770082094479755742047182133579963622363626612334257709776896 binary64)) (.f64 x #s(approx (- 1 (* y z)) (.f64 (neg.f64 y) z))) #s(approx ( x (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1)) (.f64 (.f64 (neg.f64 x) z) y)))))
(if (<=.f64 (.f64 y z) #s(literal -2 binary64)) #s(approx ( x (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1)) (.f64 (.f64 (neg.f64 x) z) y)) (if (<=.f64 (.f64 y z) #s(literal 1 binary64)) (.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) #s(approx (* x (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1)) (.f64 (.f64 (neg.f64 x) z) y))))
(if (or (<=.f64 (.f64 y z) #s(literal -2 binary64)) (not (<=.f64 (.f64 y z) #s(literal 1 binary64)))) #s(approx (* x (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1)) (.f64 (.f64 (neg.f64 x) z) y)) (.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64))))
(.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64)))

soundness2.1s (28.5%)

Memory

46.2MiB live, 891.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	271	880
1	878	836
2	2645	819
3	6561	799
0	8157	775
0	7	15
0	10	15
1	31	15
2	178	15
3	1456	15
0	9033	13
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	36	66
1	122	66
2	453	65
3	1223	62
4	2946	62
5	5008	62
6	5760	62
7	6047	62
8	6143	62
9	6727	62
0	8021	57
0	116	345
1	385	324
2	1118	324
3	3942	324
4	7998	324
0	8001	313

Stop Event

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

Compiler

Compiled 439 to 209 computations (52.4% saved)

preprocess173.0ms (2.3%)

Memory: -19.8MiB live, 224.0MiB allocated
Remove: (negabs x)
Compiler: Compiled 838 to 298 computations (64.4% 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	14	30
0	16	30
1	38	30
2	96	30
3	217	30
4	370	30
5	586	30
6	730	30
7	751	30
8	764	30
9	769	30
10	769	30
11	809	30
12	889	30
0	889	29

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	14	30
0	16	30
1	38	30
2	96	30
3	217	30
4	370	30
5	586	30
6	730	30
7	751	30
8	764	30
9	769	30
10	769	30
11	809	30
12	889	30
0	889	29

start0.0ms (0%)

analyze0.0ms (0%)

sample1.1s (14.7%)

explain171.0ms (2.3%)

preprocess63.0ms (0.9%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify30.0ms (0.4%)

localize53.0ms (0.7%)

series11.0ms (0.1%)

simplify155.0ms (2.1%)

rewrite273.0ms (3.7%)

eval45.0ms (0.6%)

prune35.0ms (0.5%)

simplify274.0ms (3.7%)

localize154.0ms (2.1%)

series127.0ms (1.7%)

simplify206.0ms (2.8%)

rewrite246.0ms (3.3%)

eval80.0ms (1.1%)

prune11.0ms (0.2%)

simplify135.0ms (1.8%)

localize223.0ms (3%)

series130.0ms (1.7%)

simplify204.0ms (2.7%)

rewrite605.0ms (8.2%)

eval177.0ms (2.4%)

prune73.0ms (1%)

simplify44.0ms (0.6%)

localize42.0ms (0.6%)

series7.0ms (0.1%)

simplify166.0ms (2.2%)

rewrite148.0ms (2%)

eval5.0ms (0.1%)

prune6.0ms (0.1%)

regimes28.0ms (0.4%)

regimes10.0ms (0.1%)

regimes8.0ms (0.1%)

regimes5.0ms (0.1%)

regimes15.0ms (0.2%)

regimes4.0ms (0.1%)

regimes12.0ms (0.2%)

bsearch1.0ms (0%)

bsearch6.0ms (0.1%)

bsearch5.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify45.0ms (0.6%)

soundness2.1s (28.5%)

preprocess173.0ms (2.3%)

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

Iter	Nodes	Cost
0	14	30
0	16	30
1	38	30
2	96	30
3	217	30
4	370	30
5	586	30
6	730	30
7	751	30
8	764	30
9	769	30
10	769	30
11	809	30
12	889	30
0	889	29