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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 9 to 9 computations (0% saved)

sample984.0ms (12.6%)

Memory

23.2MiB live, 655.0MiB allocated

Samples

709.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 328.0ms

ival-mult: 237.0ms (72.2% of total)

ival-sub: 77.0ms (23.5% of total)

ival-true: 6.0ms (1.8% of total)

exact: 5.0ms (1.5% of total)

ival-assert: 4.0ms (1.2% of total)

Bogosity

explain115.0ms (1.5%)

Memory

-6.4MiB live, 68.8MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

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

Confusion

	Predicted +	Predicted -
+	11	0
-	0	245

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	245
1	11

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

24.0ms

512×

valid

Compiler

Compiled 49 to 25 computations (49% saved)

Precisions

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

ival-mult: 7.0ms (67.6% of total)

ival-sub: 2.0ms (19.3% of total)

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

exact: 0.0ms (0% of total)

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

preprocess57.0ms (0.7%)

Memory

-2.9MiB live, 43.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(negabs x)

(sort y z)

Compiler

Compiled 7 to 7 computations (0% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	95.8%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))

Compiler

Compiled 7 to 7 computations (0% saved)

simplify12.0ms (0.2%)

Memory

16.0MiB live, 16.0MiB 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

localize46.0ms (0.6%)

Memory

-7.1MiB live, 30.5MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 #s(literal 1 binary64) (*.f64 y z))
accuracy	0.0	(*.f64 y z)
accuracy	2.6714283379404544	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))

Samples

42.0ms

256×

valid

Compiler

Compiled 21 to 9 computations (57.1% saved)

Precisions

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

ival-mult: 6.0ms (80.8% of total)

ival-sub: 1.0ms (13.5% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

11.5MiB live, 11.5MiB 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
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	z	@	-inf	((* x (- 1 (* y z))) (- 1 (* y z)) (* y z))
1.0ms	y	@	-inf	((* x (- 1 (* y z))) (- 1 (* y z)) (* y z))

simplify160.0ms (2.1%)

Memory

4.5MiB live, 121.3MiB 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))

rewrite367.0ms (4.7%)

Memory

-29.7MiB live, 173.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

3 → 385

Calls

Call 1

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

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

eval85.0ms (1.1%)

Memory: 35.4MiB live, 110.1MiB allocated
Compiler: Compiled 11 122 to 1 216 computations (89.1% saved)

prune55.0ms (0.7%)

Memory

-20.1MiB live, 29.5MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	384	7	391
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	385	7	392

Accuracy

100.0%

Counts

392 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	95.8%	(fma.f64 (*.f64 x (neg.f64 y)) z x)
▶	94.3%	(fma.f64 (*.f64 x z) (neg.f64 y) x)
	77.1%	(/.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)))
	78.0%	(.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))))
▶	54.7%	(.f64 x (fma.f64 (sqrt.f64 (.f64 (neg.f64 y) z)) (sqrt.f64 (*.f64 (neg.f64 y) z)) #s(literal 1 binary64)))
▶	43.8%	(.f64 x #s(approx (- 1 ( y z)) (*.f64 (neg.f64 y) z)))
▶	53.2%	(.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64)))

Compiler

Compiled 154 to 124 computations (19.5% saved)

simplify66.0ms (0.8%)

Memory

-12.0MiB live, 26.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (neg.f64 y) z)
cost-diff	0	(sqrt.f64 (*.f64 (neg.f64 y) z))
cost-diff	0	(.f64 x (fma.f64 (sqrt.f64 (.f64 (neg.f64 y) z)) (sqrt.f64 (*.f64 (neg.f64 y) z)) #s(literal 1 binary64)))
cost-diff	7	(fma.f64 (sqrt.f64 (.f64 (neg.f64 y) z)) (sqrt.f64 (.f64 (neg.f64 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)
cost-diff	0	(neg.f64 y)
cost-diff	0	(*.f64 (neg.f64 y) z)
cost-diff	0	#s(approx (- 1 (* y z)) (*.f64 (neg.f64 y) z))
cost-diff	0	(.f64 x #s(approx (- 1 ( y z)) (*.f64 (neg.f64 y) z)))
cost-diff	0	#s(approx (- 1 (* y z)) #s(literal 1 binary64))
cost-diff	0	(.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64)))
cost-diff	0	(neg.f64 y)
cost-diff	0	(*.f64 x (neg.f64 y))
cost-diff	0	(fma.f64 (*.f64 x (neg.f64 y)) z x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	121
0	33	107
1	69	107
2	141	107
3	319	107
4	511	107
5	649	107
6	804	107
7	866	107
0	866	107

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize136.0ms (1.7%)

Memory

19.3MiB live, 95.8MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.0	(neg.f64 y)
accuracy	0.1015625	(fma.f64 (sqrt.f64 (.f64 (neg.f64 y) z)) (sqrt.f64 (.f64 (neg.f64 y) z)) #s(literal 1 binary64))
accuracy	1.469481420443035	(.f64 x (fma.f64 (sqrt.f64 (.f64 (neg.f64 y) z)) (sqrt.f64 (*.f64 (neg.f64 y) z)) #s(literal 1 binary64)))
accuracy	8.639621383321986	(sqrt.f64 (*.f64 (neg.f64 y) z))
accuracy	0.0	(*.f64 x z)
accuracy	0.0	(neg.f64 y)
accuracy	1.430137595414687	(fma.f64 (*.f64 x z) (neg.f64 y) x)
accuracy	0.0	(*.f64 (neg.f64 y) z)
accuracy	0.0	(neg.f64 y)
accuracy	1.469481420443035	(.f64 x #s(approx (- 1 ( y z)) (*.f64 (neg.f64 y) z)))
accuracy	17.43673299469585	#s(approx (- 1 (* y z)) (*.f64 (neg.f64 y) z))
accuracy	1.469481420443035	(.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64)))
accuracy	15.3373493050196	#s(approx (- 1 (* y z)) #s(literal 1 binary64))
accuracy	0.0	(*.f64 x (neg.f64 y))
accuracy	0.0	(neg.f64 y)
accuracy	1.8706158647679607	(fma.f64 (*.f64 x (neg.f64 y)) z x)

Samples

66.0ms	133×	0	valid
58.0ms	123×	0	invalid

Compiler

Compiled 113 to 21 computations (81.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 69.0ms

ival-mult: 61.0ms (88.3% of total)

ival-add: 3.0ms (4.3% of total)

ival-sqrt: 2.0ms (2.9% of total)

ival-sub: 1.0ms (1.4% of total)

ival-neg: 1.0ms (1.4% of total)

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

exact: 0.0ms (0% of total)

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

series64.0ms (0.8%)

Memory

-9.9MiB live, 35.3MiB allocated

Counts

13 → 33

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
44.0ms	y	@	0	((+ (* (* x (neg y)) z) x) (* x (neg y)) (neg y) (* x (- 1 (* y z))) (- 1 (* y z)) (* x (- 1 (* y z))) (- 1 (* y z)) (* (neg y) z) (+ (* (* x z) (neg y)) x) (* x z) (+ (* (sqrt (* (neg y) z)) (sqrt (* (neg y) z))) 1) (* x (+ (* (sqrt (* (neg y) z)) (sqrt (* (neg y) z))) 1)) (sqrt (* (neg y) z)))
4.0ms	x	@	0	((+ (* (* x (neg y)) z) x) (* x (neg y)) (neg y) (* x (- 1 (* y z))) (- 1 (* y z)) (* x (- 1 (* y z))) (- 1 (* y z)) (* (neg y) z) (+ (* (* x z) (neg y)) x) (* x z) (+ (* (sqrt (* (neg y) z)) (sqrt (* (neg y) z))) 1) (* x (+ (* (sqrt (* (neg y) z)) (sqrt (* (neg y) z))) 1)) (sqrt (* (neg y) z)))
4.0ms	z	@	-inf	((+ (* (* x (neg y)) z) x) (* x (neg y)) (neg y) (* x (- 1 (* y z))) (- 1 (* y z)) (* x (- 1 (* y z))) (- 1 (* y z)) (* (neg y) z) (+ (* (* x z) (neg y)) x) (* x z) (+ (* (sqrt (* (neg y) z)) (sqrt (* (neg y) z))) 1) (* x (+ (* (sqrt (* (neg y) z)) (sqrt (* (neg y) z))) 1)) (sqrt (* (neg y) z)))
2.0ms	y	@	inf	((+ (* (* x (neg y)) z) x) (* x (neg y)) (neg y) (* x (- 1 (* y z))) (- 1 (* y z)) (* x (- 1 (* y z))) (- 1 (* y z)) (* (neg y) z) (+ (* (* x z) (neg y)) x) (* x z) (+ (* (sqrt (* (neg y) z)) (sqrt (* (neg y) z))) 1) (* x (+ (* (sqrt (* (neg y) z)) (sqrt (* (neg y) z))) 1)) (sqrt (* (neg y) z)))
2.0ms	x	@	inf	((+ (* (* x (neg y)) z) x) (* x (neg y)) (neg y) (* x (- 1 (* y z))) (- 1 (* y z)) (* x (- 1 (* y z))) (- 1 (* y z)) (* (neg y) z) (+ (* (* x z) (neg y)) x) (* x z) (+ (* (sqrt (* (neg y) z)) (sqrt (* (neg y) z))) 1) (* x (+ (* (sqrt (* (neg y) z)) (sqrt (* (neg y) z))) 1)) (sqrt (* (neg y) z)))

simplify145.0ms (1.9%)

Memory

-5.2MiB live, 106.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	180
1	247	180
2	631	180
3	1443	180
4	3492	180
5	6385	180
6	7940	180
0	8004	180

Stop Event

1×	iter limit
1×	node limit

Counts

33 → 32

Calls

Call 1

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

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

rewrite348.0ms (4.5%)

Memory

6.9MiB live, 253.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	96
0	33	82
1	126	82
2	709	78
3	7913	78
0	8026	70

Stop Event

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

Counts

13 → 925

Calls

Call 1

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

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

eval156.0ms (2%)

Memory: 17.3MiB live, 132.6MiB allocated
Compiler: Compiled 14 793 to 1 968 computations (86.7% saved)

prune20.0ms (0.3%)

Memory

7.2MiB live, 44.3MiB allocated

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	766	3	769
Fresh	1	1	2
Picked	2	3	5
Done	0	0	0
Total	769	7	776

Accuracy

100.0%

Counts

776 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	73.5%	(fma.f64 (.f64 x (.f64 (sqrt.f64 z) (neg.f64 y))) (sqrt.f64 z) x)
▶	72.3%	(fma.f64 (.f64 x (sqrt.f64 (neg.f64 y))) (.f64 z (sqrt.f64 (neg.f64 y))) x)
✓	95.8%	(fma.f64 (*.f64 x (neg.f64 y)) z x)
▶	77.1%	(/.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)))
▶	94.3%	(-.f64 x (.f64 (.f64 z x) y))
✓	43.8%	(.f64 x #s(approx (- 1 ( y z)) (*.f64 (neg.f64 y) z)))
✓	53.2%	(.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64)))

Compiler

Compiled 72 to 58 computations (19.4% saved)

simplify200.0ms (2.6%)

Memory

-11.2MiB live, 148.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 z)
cost-diff	0	(*.f64 (sqrt.f64 z) (neg.f64 y))
cost-diff	0	(.f64 x (.f64 (sqrt.f64 z) (neg.f64 y)))
cost-diff	4	(fma.f64 (.f64 x (.f64 (sqrt.f64 z) (neg.f64 y))) (sqrt.f64 z) x)
cost-diff	0	(neg.f64 y)
cost-diff	0	(sqrt.f64 (neg.f64 y))
cost-diff	0	(*.f64 x (sqrt.f64 (neg.f64 y)))
cost-diff	5	(fma.f64 (.f64 x (sqrt.f64 (neg.f64 y))) (.f64 z (sqrt.f64 (neg.f64 y))) x)
cost-diff	0	(pow.f64 (*.f64 z y) #s(literal 2 binary64))
cost-diff	0	(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))
cost-diff	0	(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64))) x)
cost-diff	0	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64))) x) (fma.f64 z y #s(literal 1 binary64)))
cost-diff	0	(*.f64 z x)
cost-diff	0	(.f64 (.f64 z x) y)
cost-diff	0	(-.f64 x (.f64 (.f64 z x) y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	125
0	43	116
1	77	116
2	185	116
3	490	116
4	1294	116
5	2873	116
6	3873	116
7	4070	116
8	4515	116
9	5944	116
10	6727	116
0	8162	116

Stop Event

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

Calls

Call 1

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

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

localize204.0ms (2.6%)

Memory

11.7MiB live, 89.5MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.0	(neg.f64 y)
accuracy	0.078125	(*.f64 (sqrt.f64 z) (neg.f64 y))
accuracy	1.2071810513408963	(fma.f64 (.f64 x (.f64 (sqrt.f64 z) (neg.f64 y))) (sqrt.f64 z) x)
accuracy	2.3134600706156565	(.f64 x (.f64 (sqrt.f64 z) (neg.f64 y)))
accuracy	0.0	(neg.f64 y)
accuracy	0.08984375	(*.f64 z (sqrt.f64 (neg.f64 y)))
accuracy	0.10546875	(*.f64 x (sqrt.f64 (neg.f64 y)))
accuracy	1.6421072034713151	(fma.f64 (.f64 x (sqrt.f64 (neg.f64 y))) (.f64 z (sqrt.f64 (neg.f64 y))) x)
accuracy	0.0	(*.f64 z y)
accuracy	0.10546875	(pow.f64 (*.f64 z y) #s(literal 2 binary64))
accuracy	0.4694920717448618	(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64))) x)
accuracy	5.701632738546327	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64))) x) (fma.f64 z y #s(literal 1 binary64)))
accuracy	0.0	(*.f64 z x)
accuracy	0.00390625	(-.f64 x (.f64 (.f64 z x) y))
accuracy	2.158293808954004	(.f64 (.f64 z x) y)

Samples

164.0ms	133×	0	valid
26.0ms	123×	0	invalid

Compiler

Compiled 131 to 27 computations (79.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 175.0ms

ival-mult: 155.0ms (88.7% of total)

ival-add: 8.0ms (4.6% of total)

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

ival-pow2: 3.0ms (1.7% of total)

ival-div: 2.0ms (1.1% of total)

ival-sub: 2.0ms (1.1% of total)

ival-neg: 1.0ms (0.6% of total)

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

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

exact: 0.0ms (0% of total)

series199.0ms (2.5%)

Memory

-0.8MiB live, 80.3MiB allocated

Counts

17 → 49

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
149.0ms	x	@	0	((- x (* (* z x) y)) (* (* z x) y) (* z x) (/ (* (- 1 (pow (* z y) 2)) x) (+ (* z y) 1)) (* (- 1 (pow (* z y) 2)) x) (- 1 (pow (* z y) 2)) (pow (* z y) 2) (+ (* (* x (sqrt (neg y))) (* z (sqrt (neg y)))) x) (* x (sqrt (neg y))) (sqrt (neg y)) (neg y) (+ (* (* x (* (sqrt z) (neg y))) (sqrt z)) x) (* x (* (sqrt z) (neg y))) (* (sqrt z) (neg y)) (sqrt z) (* z y) (* z (sqrt (neg y))))
14.0ms	y	@	inf	((- x (* (* z x) y)) (* (* z x) y) (* z x) (/ (* (- 1 (pow (* z y) 2)) x) (+ (* z y) 1)) (* (- 1 (pow (* z y) 2)) x) (- 1 (pow (* z y) 2)) (pow (* z y) 2) (+ (* (* x (sqrt (neg y))) (* z (sqrt (neg y)))) x) (* x (sqrt (neg y))) (sqrt (neg y)) (neg y) (+ (* (* x (* (sqrt z) (neg y))) (sqrt z)) x) (* x (* (sqrt z) (neg y))) (* (sqrt z) (neg y)) (sqrt z) (* z y) (* z (sqrt (neg y))))
9.0ms	z	@	inf	((- x (* (* z x) y)) (* (* z x) y) (* z x) (/ (* (- 1 (pow (* z y) 2)) x) (+ (* z y) 1)) (* (- 1 (pow (* z y) 2)) x) (- 1 (pow (* z y) 2)) (pow (* z y) 2) (+ (* (* x (sqrt (neg y))) (* z (sqrt (neg y)))) x) (* x (sqrt (neg y))) (sqrt (neg y)) (neg y) (+ (* (* x (* (sqrt z) (neg y))) (sqrt z)) x) (* x (* (sqrt z) (neg y))) (* (sqrt z) (neg y)) (sqrt z) (* z y) (* z (sqrt (neg y))))
5.0ms	z	@	-inf	((- x (* (* z x) y)) (* (* z x) y) (* z x) (/ (* (- 1 (pow (* z y) 2)) x) (+ (* z y) 1)) (* (- 1 (pow (* z y) 2)) x) (- 1 (pow (* z y) 2)) (pow (* z y) 2) (+ (* (* x (sqrt (neg y))) (* z (sqrt (neg y)))) x) (* x (sqrt (neg y))) (sqrt (neg y)) (neg y) (+ (* (* x (* (sqrt z) (neg y))) (sqrt z)) x) (* x (* (sqrt z) (neg y))) (* (sqrt z) (neg y)) (sqrt z) (* z y) (* z (sqrt (neg y))))
5.0ms	y	@	0	((- x (* (* z x) y)) (* (* z x) y) (* z x) (/ (* (- 1 (pow (* z y) 2)) x) (+ (* z y) 1)) (* (- 1 (pow (* z y) 2)) x) (- 1 (pow (* z y) 2)) (pow (* z y) 2) (+ (* (* x (sqrt (neg y))) (* z (sqrt (neg y)))) x) (* x (sqrt (neg y))) (sqrt (neg y)) (neg y) (+ (* (* x (* (sqrt z) (neg y))) (sqrt z)) x) (* x (* (sqrt z) (neg y))) (* (sqrt z) (neg y)) (sqrt z) (* z y) (* z (sqrt (neg y))))

simplify424.0ms (5.4%)

Memory

1.7MiB live, 121.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	116	338
1	374	335
2	1155	335
3	2638	335
4	6793	335
0	8826	334

Stop Event

1×	iter limit
1×	node limit

Counts

49 → 48

Calls

Call 1

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

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

rewrite636.0ms (8.2%)

Memory

11.8MiB live, 243.5MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	105
0	43	96
1	147	89
2	923	89
0	10002	89

Stop Event

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

Counts

17 → 584

Calls

Call 1

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

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

eval86.0ms (1.1%)

Memory: -27.6MiB live, 131.0MiB allocated
Compiler: Compiled 10 599 to 1 664 computations (84.3% saved)

prune12.0ms (0.2%)

Memory

2.0MiB live, 40.2MiB allocated

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	506	3	509
Fresh	0	0	0
Picked	2	2	4
Done	0	3	3
Total	508	8	516

Accuracy

100.0%

Counts

516 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	73.6%	(fma.f64 (.f64 (.f64 (sqrt.f64 z) x) (neg.f64 y)) (sqrt.f64 z) x)
✓	73.5%	(fma.f64 (.f64 x (.f64 (sqrt.f64 z) (neg.f64 y))) (sqrt.f64 z) x)
✓	95.8%	(fma.f64 (*.f64 x (neg.f64 y)) z x)
▶	19.7%	(/.f64 (.f64 #s(approx (- 1 (pow ( z y) 2)) (.f64 (.f64 (*.f64 (neg.f64 z) z) y) y)) x) (fma.f64 z y #s(literal 1 binary64)))
✓	94.3%	(-.f64 x (.f64 (.f64 z x) y))
✓	43.8%	(.f64 x #s(approx (- 1 ( y z)) (*.f64 (neg.f64 y) z)))
✓	53.2%	(.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64)))
▶	44.9%	#s(approx (- x (* (* z x) y)) (.f64 (neg.f64 z) (.f64 y x)))

Compiler

Compiled 94 to 74 computations (21.3% saved)

simplify137.0ms (1.8%)

Memory

19.4MiB live, 64.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 z)
cost-diff	0	(*.f64 (sqrt.f64 z) x)
cost-diff	0	(.f64 (.f64 (sqrt.f64 z) x) (neg.f64 y))
cost-diff	4	(fma.f64 (.f64 (.f64 (sqrt.f64 z) x) (neg.f64 y)) (sqrt.f64 z) x)
cost-diff	0	#s(approx (- 1 (pow (* z y) 2)) (.f64 (.f64 (*.f64 (neg.f64 z) z) y) y))
cost-diff	0	(.f64 #s(approx (- 1 (pow ( z y) 2)) (.f64 (.f64 (*.f64 (neg.f64 z) z) y) y)) x)
cost-diff	0	(/.f64 (.f64 #s(approx (- 1 (pow ( z y) 2)) (.f64 (.f64 (*.f64 (neg.f64 z) z) y) y)) x) (fma.f64 z y #s(literal 1 binary64)))
cost-diff	2	(.f64 (.f64 (*.f64 (neg.f64 z) z) y) y)
cost-diff	0	(*.f64 y x)
cost-diff	0	(neg.f64 z)
cost-diff	0	(.f64 (neg.f64 z) (.f64 y x))
cost-diff	0	#s(approx (- x (* (* z x) y)) (.f64 (neg.f64 z) (.f64 y x)))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	27	142
0	42	142
1	82	134
2	195	130
3	503	130
4	1326	130
5	1760	130
6	1819	130
7	1886	130
8	1936	130
9	1966	130
10	2650	130
11	3194	130
12	3225	130
13	3295	130
14	3375	130
15	3427	130
16	3558	130
17	3718	130
18	3831	130
19	3862	130
20	3864	130
21	3864	130
22	3868	130
23	3868	130
24	4054	130
0	4054	130

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize110.0ms (1.4%)

Memory

-2.4MiB live, 201.7MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.0	(neg.f64 y)
accuracy	0.18359375	(*.f64 (sqrt.f64 z) x)
accuracy	1.2188998013408963	(fma.f64 (.f64 (.f64 (sqrt.f64 z) x) (neg.f64 y)) (sqrt.f64 z) x)
accuracy	2.1272819188637797	(.f64 (.f64 (sqrt.f64 z) x) (neg.f64 y))
accuracy	2.6678188908894804	(.f64 (.f64 (*.f64 (neg.f64 z) z) y) y)
accuracy	4.492339812928027	(.f64 (.f64 (neg.f64 z) z) y)
accuracy	9.35447008147141	(/.f64 (.f64 #s(approx (- 1 (pow ( z y) 2)) (.f64 (.f64 (*.f64 (neg.f64 z) z) y) y)) x) (fma.f64 z y #s(literal 1 binary64)))
accuracy	26.003263227003618	#s(approx (- 1 (pow (* z y) 2)) (.f64 (.f64 (*.f64 (neg.f64 z) z) y) y))
accuracy	0.0	(*.f64 y x)
accuracy	0.0	(neg.f64 z)
accuracy	3.42731967534379	(.f64 (neg.f64 z) (.f64 y x))
accuracy	25.57205498048017	#s(approx (- x (* (* z x) y)) (.f64 (neg.f64 z) (.f64 y x)))

Samples

82.0ms	196×	0	valid
15.0ms	60×	0	invalid

Compiler

Compiled 113 to 27 computations (76.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 77.0ms

ival-sub: 41.0ms (53.5% of total)

ival-mult: 18.0ms (23.5% of total)

ival-neg: 9.0ms (11.7% of total)

ival-pow2: 3.0ms (3.9% of total)

ival-div: 2.0ms (2.6% of total)

ival-add: 2.0ms (2.6% of total)

ival-sqrt: 2.0ms (2.6% of total)

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

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

exact: 0.0ms (0% of total)

series169.0ms (2.2%)

Memory

2.8MiB live, 41.0MiB allocated

Counts

14 → 37

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
147.0ms	x	@	0	((- x (* (* z x) y)) (* (neg z) (* y x)) (neg z) (* y x) (* (* (* (neg z) z) y) y) (/ (* (- 1 (pow (* z y) 2)) x) (+ (* z y) 1)) (* (- 1 (pow (* z y) 2)) x) (- 1 (pow (* z y) 2)) (+ (* (* (* (sqrt z) x) (neg y)) (sqrt z)) x) (* (* (sqrt z) x) (neg y)) (* (sqrt z) x) (sqrt z) (* (* (neg z) z) y) (neg y))
3.0ms	z	@	-inf	((- x (* (* z x) y)) (* (neg z) (* y x)) (neg z) (* y x) (* (* (* (neg z) z) y) y) (/ (* (- 1 (pow (* z y) 2)) x) (+ (* z y) 1)) (* (- 1 (pow (* z y) 2)) x) (- 1 (pow (* z y) 2)) (+ (* (* (* (sqrt z) x) (neg y)) (sqrt z)) x) (* (* (sqrt z) x) (neg y)) (* (sqrt z) x) (sqrt z) (* (* (neg z) z) y) (neg y))
3.0ms	x	@	-inf	((- x (* (* z x) y)) (* (neg z) (* y x)) (neg z) (* y x) (* (* (* (neg z) z) y) y) (/ (* (- 1 (pow (* z y) 2)) x) (+ (* z y) 1)) (* (- 1 (pow (* z y) 2)) x) (- 1 (pow (* z y) 2)) (+ (* (* (* (sqrt z) x) (neg y)) (sqrt z)) x) (* (* (sqrt z) x) (neg y)) (* (sqrt z) x) (sqrt z) (* (* (neg z) z) y) (neg y))
3.0ms	z	@	inf	((- x (* (* z x) y)) (* (neg z) (* y x)) (neg z) (* y x) (* (* (* (neg z) z) y) y) (/ (* (- 1 (pow (* z y) 2)) x) (+ (* z y) 1)) (* (- 1 (pow (* z y) 2)) x) (- 1 (pow (* z y) 2)) (+ (* (* (* (sqrt z) x) (neg y)) (sqrt z)) x) (* (* (sqrt z) x) (neg y)) (* (sqrt z) x) (sqrt z) (* (* (neg z) z) y) (neg y))
2.0ms	z	@	0	((- x (* (* z x) y)) (* (neg z) (* y x)) (neg z) (* y x) (* (* (* (neg z) z) y) y) (/ (* (- 1 (pow (* z y) 2)) x) (+ (* z y) 1)) (* (- 1 (pow (* z y) 2)) x) (- 1 (pow (* z y) 2)) (+ (* (* (* (sqrt z) x) (neg y)) (sqrt z)) x) (* (* (sqrt z) x) (neg y)) (* (sqrt z) x) (sqrt z) (* (* (neg z) z) y) (neg y))

simplify127.0ms (1.6%)

Memory

5.4MiB live, 158.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	99	253
1	316	250
2	983	250
3	2584	250
4	6948	250
0	8557	249

Stop Event

1×	iter limit
1×	node limit

Counts

37 → 36

Calls

Call 1

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

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

rewrite658.0ms (8.4%)

Memory

-0.4MiB live, 242.4MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	27	122
0	42	122
1	141	114
2	784	110
0	8067	110

Stop Event

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

Counts

14 → 277

Calls

Call 1

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

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

eval338.0ms (4.3%)

Memory: -4.4MiB live, 70.8MiB allocated
Compiler: Compiled 9 019 to 970 computations (89.2% saved)

prune15.0ms (0.2%)

Memory

1.9MiB live, 39.9MiB allocated

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	305	3	308
Fresh	0	0	0
Picked	1	2	3
Done	1	4	5
Total	307	9	316

Accuracy

100.0%

Counts

316 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	95.8%	(fma.f64 (*.f64 x (neg.f64 y)) z x)
✓	19.7%	(/.f64 (.f64 #s(approx (- 1 (pow ( z y) 2)) (.f64 (.f64 (*.f64 (neg.f64 z) z) y) y)) x) (fma.f64 z y #s(literal 1 binary64)))
✓	94.3%	(-.f64 x (.f64 (.f64 z x) y))
✓	43.8%	(.f64 x #s(approx (- 1 ( y z)) (*.f64 (neg.f64 y) z)))
✓	53.2%	(.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64)))
	35.3%	#s(approx (- x (* (* z x) y)) (.f64 (.f64 (*.f64 (sqrt.f64 z) x) y) (neg.f64 (sqrt.f64 z))))
	45.2%	#s(approx (- x (* (* z x) y)) (.f64 (.f64 (neg.f64 z) x) y))
	34.2%	#s(approx (- x (* (* z x) y)) (.f64 (.f64 (neg.f64 x) (*.f64 (sqrt.f64 z) y)) (sqrt.f64 z)))
✓	44.9%	#s(approx (- x (* (* z x) y)) (.f64 (neg.f64 z) (.f64 y x)))

Compiler

Compiled 334 to 167 computations (50% saved)

regimes39.0ms (0.5%)

Memory

-15.0MiB live, 71.8MiB allocated

Counts

17 → 2

Calls

Call 1

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

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

Calls

6 calls:

11.0ms	(-.f64 #s(literal 1 binary64) (*.f64 y z))
7.0ms	y
5.0ms	x
5.0ms	z
5.0ms	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))

Results

Accuracy	Segments	Branch
98.3%	2	`x`
97.7%	2	`y`
98.4%	2	`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)

regimes3.0ms (0%)

Memory

10.8MiB live, 10.8MiB allocated

Counts

6 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
98.4%	2	`z`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes11.0ms (0.1%)

Memory

-10.0MiB live, 28.6MiB allocated

Counts

5 → 3

Calls

Call 1

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
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)`
97.7%	2	`z`

Compiler

Compiled 16 to 20 computations (-25% saved)

regimes13.0ms (0.2%)

Memory

4.2MiB live, 43.4MiB allocated

Counts

4 → 3

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
79.4%	3	`z`
77.0%	3	`y`
85.5%	3	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))`
62.9%	4	`x`
94.8%	3	`(-.f64 #s(literal 1 binary64) (*.f64 y z))`
94.8%	3	`(*.f64 y z)`

Compiler

Compiled 18 to 26 computations (-44.4% saved)

regimes3.0ms (0%)

Memory

9.5MiB live, 9.5MiB allocated

Counts

2 → 3

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
93.9%	3	`(-.f64 #s(literal 1 binary64) (*.f64 y z))`
93.9%	3	`(*.f64 y z)`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes9.0ms (0.1%)

Memory

-22.2MiB live, 20.7MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

6 calls:

3.0ms	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))
1.0ms	x
1.0ms	z
1.0ms	y
1.0ms	(*.f64 y z)

Results

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

Compiler

Compiled 18 to 26 computations (-44.4% saved)

bsearch4.0ms (0.1%)

Memory

8.4MiB live, 8.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
4.0ms	3.5620215595073385e+112	4.46093700194863e+112

Samples

2.0ms

48×

valid

Compiler

Compiled 52 to 58 computations (-11.5% saved)

Precisions

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

ival-mult: 1.0ms (107.8% 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)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	3.5620215595073385e+112	4.46093700194863e+112

Compiler

Compiled 52 to 58 computations (-11.5% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.939345828049683e+266	4.3428231873953157e+266
0.0ms	-6.660199199180949e+139	-9.697474545197115e+136

Compiler

Compiled 10 to 13 computations (-30% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.002816772157802941	614.7491630248147
0.0ms	-2.437168635159854	-0.5002997752962768

Compiler

Compiled 10 to 13 computations (-30% saved)

bsearch1.0ms (0%)

Memory

2.5MiB live, 2.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.002816772157802941	614.7491630248147
0.0ms	-39.87086288546095	-2.437168635159854

Compiler

Compiled 10 to 13 computations (-30% saved)

simplify28.0ms (0.4%)

Memory

13.2MiB live, 52.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	177
1	80	177
2	128	177
3	185	177
4	243	177
5	256	177
6	268	177
7	295	177
8	391	177
9	650	177
10	776	177
11	780	177
12	780	177

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 z #s(literal 41999999999999997919432071458842501553636674773657873510068575761579473276706481524688137377212088773009192517632 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z))) (fma.f64 (*.f64 x z) (neg.f64 y) x))
(if (<=.f64 z #s(literal 41999999999999997919432071458842501553636674773657873510068575761579473276706481524688137377212088773009192517632 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z))) (-.f64 x (.f64 (.f64 z x) y)))
(if (<=.f64 (.f64 y z) #s(literal -50000000000000002964190062040743501853181244383522664432425037241499788914236990326011648254009062284575896118646691474114848581757291200512 binary64)) #s(approx (- x ( (* z x) y)) (.f64 (.f64 (neg.f64 z) x) y)) (if (<=.f64 (.f64 y z) #s(literal 400000000000000012286413076444059885886034571389000292814876374531380409162937624526468966073070803082287079708901224019553937208809034835924828501382355545655269878635389339239915163107997413501300548746200222675188211460513985939292611202803332289656418842005471232 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z))) #s(approx (- x ( (* z x) y)) (.f64 (neg.f64 z) (.f64 y x)))))
(if (<=.f64 (.f64 y z) #s(literal -2 binary64)) #s(approx (- x ( (* z x) y)) (.f64 (.f64 (neg.f64 z) x) y)) (if (<=.f64 (.f64 y z) #s(literal 5764607523034235/1152921504606846976 binary64)) (.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) #s(approx (- x (* (* z x) y)) (.f64 (neg.f64 z) (.f64 y x)))))
(if (<=.f64 (.f64 y z) #s(literal -20 binary64)) #s(approx (- x ( (* z x) y)) (.f64 (neg.f64 z) (.f64 y x))) (if (<=.f64 (.f64 y z) #s(literal 5764607523034235/1152921504606846976 binary64)) (.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) #s(approx (- x (* (* z x) y)) (.f64 (neg.f64 z) (.f64 y x)))))
(.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64)))

Outputs
(if (<=.f64 z #s(literal 41999999999999997919432071458842501553636674773657873510068575761579473276706481524688137377212088773009192517632 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z))) (fma.f64 (*.f64 x z) (neg.f64 y) x))
(if (<=.f64 z #s(literal 41999999999999997919432071458842501553636674773657873510068575761579473276706481524688137377212088773009192517632 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z))) (-.f64 x (.f64 (.f64 z x) y)))
(if (<=.f64 (.f64 y z) #s(literal -50000000000000002964190062040743501853181244383522664432425037241499788914236990326011648254009062284575896118646691474114848581757291200512 binary64)) #s(approx (- x ( (* z x) y)) (.f64 (.f64 (neg.f64 z) x) y)) (if (<=.f64 (.f64 y z) #s(literal 400000000000000012286413076444059885886034571389000292814876374531380409162937624526468966073070803082287079708901224019553937208809034835924828501382355545655269878635389339239915163107997413501300548746200222675188211460513985939292611202803332289656418842005471232 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z))) #s(approx (- x ( (* z x) y)) (.f64 (neg.f64 z) (.f64 y x)))))
(if (<=.f64 (.f64 y z) #s(literal -2 binary64)) #s(approx (- x ( (* z x) y)) (.f64 (.f64 (neg.f64 z) x) y)) (if (<=.f64 (.f64 y z) #s(literal 5764607523034235/1152921504606846976 binary64)) (.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) #s(approx (- x (* (* z x) y)) (.f64 (neg.f64 z) (.f64 y x)))))
(if (<=.f64 (.f64 y z) #s(literal -20 binary64)) #s(approx (- x ( (* z x) y)) (.f64 (neg.f64 z) (.f64 y x))) (if (<=.f64 (.f64 y z) #s(literal 5764607523034235/1152921504606846976 binary64)) (.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) #s(approx (- x (* (* z x) y)) (.f64 (neg.f64 z) (.f64 y x)))))
(if (or (<=.f64 (.f64 y z) #s(literal -20 binary64)) (not (<=.f64 (.f64 y z) #s(literal 5764607523034235/1152921504606846976 binary64)))) #s(approx (- x (* (* z x) y)) (.f64 (neg.f64 z) (.f64 y x))) (.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64))))
(.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64)))

soundness1.5s (19.1%)

Memory

-143.4MiB live, 599.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	116	338
1	374	335
2	1155	335
3	2638	335
4	6793	335
0	8826	334
0	19	96
0	33	82
1	126	82
2	709	78
3	7913	78
0	8026	70
0	7	15
0	10	15
1	31	15
2	178	15
3	1456	15
0	9033	13
0	27	122
0	42	122
1	141	114
2	784	110
0	8067	110
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×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit

Compiler

Compiled 342 to 184 computations (46.2% saved)

preprocess51.0ms (0.7%)

Memory: -31.5MiB live, 82.6MiB allocated
Remove: (negabs x)
Compiler: Compiled 650 to 250 computations (61.5% 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	19	121
0	33	107
1	69	107
2	141	107
3	319	107
4	511	107
5	649	107
6	804	107
7	866	107
0	866	107

Iter	Nodes	Cost
0	46	177
1	80	177
2	128	177
3	185	177
4	243	177
5	256	177
6	268	177
7	295	177
8	391	177
9	650	177
10	776	177
11	780	177
12	780	177

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	19	121
0	33	107
1	69	107
2	141	107
3	319	107
4	511	107
5	649	107
6	804	107
7	866	107
0	866	107

Iter	Nodes	Cost
0	46	177
1	80	177
2	128	177
3	185	177
4	243	177
5	256	177
6	268	177
7	295	177
8	391	177
9	650	177
10	776	177
11	780	177
12	780	177

start0.0ms (0%)

analyze0.0ms (0%)

sample984.0ms (12.6%)

explain115.0ms (1.5%)

preprocess57.0ms (0.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify12.0ms (0.2%)

localize46.0ms (0.6%)

series6.0ms (0.1%)

simplify160.0ms (2.1%)

rewrite367.0ms (4.7%)

eval85.0ms (1.1%)

prune55.0ms (0.7%)

simplify66.0ms (0.8%)

localize136.0ms (1.7%)

series64.0ms (0.8%)

simplify145.0ms (1.9%)

rewrite348.0ms (4.5%)

eval156.0ms (2%)

prune20.0ms (0.3%)

simplify200.0ms (2.6%)

localize204.0ms (2.6%)

series199.0ms (2.5%)

simplify424.0ms (5.4%)

rewrite636.0ms (8.2%)

eval86.0ms (1.1%)

prune12.0ms (0.2%)

simplify137.0ms (1.8%)

localize110.0ms (1.4%)

series169.0ms (2.2%)

simplify127.0ms (1.6%)

rewrite658.0ms (8.4%)

eval338.0ms (4.3%)

prune15.0ms (0.2%)

regimes39.0ms (0.5%)

regimes3.0ms (0%)

regimes11.0ms (0.1%)

regimes13.0ms (0.2%)

regimes3.0ms (0%)

regimes9.0ms (0.1%)

bsearch4.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify28.0ms (0.4%)

soundness1.5s (19.1%)

preprocess51.0ms (0.7%)

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	19	121
0	33	107
1	69	107
2	141	107
3	319	107
4	511	107
5	649	107
6	804	107
7	866	107
0	866	107

Iter	Nodes	Cost
0	46	177
1	80	177
2	128	177
3	185	177
4	243	177
5	256	177
6	268	177
7	295	177
8	391	177
9	650	177
10	776	177
11	780	177
12	780	177