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

start0.0ms (0%)

Memory: 0.1MiB live, 0.0MiB allocated; 0ms collecting garbage

analyze1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

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)

sample939.0ms (14.5%)

Memory

-13.2MiB live, 506.2MiB allocated; 76ms collecting garbage

Samples

573.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 190.0ms

ival-mult: 111.0ms (58.5% of total)

ival-sub: 63.0ms (33.2% of total)

ival-true: 6.0ms (3.2% of total)

exact: 5.0ms (2.6% of total)

ival-assert: 3.0ms (1.6% of total)

adjust: 2.0ms (1.1% of total)

Bogosity

explain105.0ms (1.6%)

Memory

-12.5MiB live, 33.2MiB allocated; 6ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
7	-	-	`(.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**	7	0

Confusion

	Predicted +	Predicted -
+	7	0
-	0	249

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	7	0	0
-	0	0	249

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	249
1	7

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

25.0ms

512×

valid

Compiler

Compiled 49 to 25 computations (49% saved)

Precisions

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

ival-mult: 7.0ms (67.4% of total)

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

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

preprocess45.0ms (0.7%)

Memory

9.3MiB live, 9.3MiB allocated; 0ms collecting garbage

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: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.3%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))

Compiler

Compiled 7 to 7 computations (0% saved)

simplify12.0ms (0.2%)

Memory

1.6MiB live, 1.6MiB allocated; 0ms collecting garbage

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

localize17.0ms (0.3%)

Memory

7.0MiB live, 7.0MiB allocated; 0ms collecting garbage

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	1.7320678383576984	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))

Samples

12.0ms

256×

valid

Compiler

Compiled 21 to 9 computations (57.1% saved)

Precisions

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

ival-mult: 3.0ms (59.5% of total)

ival-sub: 1.0ms (19.8% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

2.6MiB live, 2.6MiB allocated; 0ms collecting garbage

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))

simplify179.0ms (2.8%)

Memory

-16.3MiB live, 43.1MiB allocated; 28ms collecting garbage

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))

rewrite325.0ms (5%)

Memory

12.0MiB live, 247.6MiB allocated; 23ms collecting garbage

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))))

eval83.0ms (1.3%)

Memory: 7.1MiB live, 97.9MiB allocated; 6ms collecting garbage
Compiler: Compiled 11 122 to 1 216 computations (89.1% saved)

prune12.0ms (0.2%)

Memory

-21.4MiB live, 32.5MiB allocated; 5ms collecting garbage

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	383	8	391
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	384	8	392

Accuracy

100.0%

Counts

392 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	95.0%	(fma.f64 (*.f64 x (neg.f64 y)) z x)
▶	94.6%	(fma.f64 (*.f64 x z) (neg.f64 y) x)
▶	28.7%	(/.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))))))
	71.6%	(.f64 x (fma.f64 (/.f64 (neg.f64 y) (fma.f64 z y #s(literal 1 binary64))) (/.f64 (.f64 (*.f64 z z) y) #s(literal 1 binary64)) (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64))))
	54.5%	(.f64 x (fma.f64 (sqrt.f64 (.f64 (*.f64 y y) z)) (sqrt.f64 z) #s(literal 1 binary64)))
▶	56.6%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (.f64 z y)) (sqrt.f64 (.f64 z y)))))
	47.3%	(.f64 x #s(approx (- 1 ( y z)) (*.f64 (neg.f64 y) z)))
▶	52.5%	(.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64)))

Compiler

Compiled 248 to 158 computations (36.3% saved)

simplify176.0ms (2.7%)

Memory

45.7MiB live, 316.4MiB allocated; 32ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(/.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))))))
cost-diff	2	(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)))))
cost-diff	2	(.f64 (neg.f64 x) (.f64 (neg.f64 y) z))
cost-diff	6	(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))))
cost-diff	0	(sqrt.f64 (*.f64 z y))
cost-diff	0	(-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (.f64 z y)) (sqrt.f64 (*.f64 z y))))
cost-diff	0	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (.f64 z y)) (sqrt.f64 (.f64 z y)))))
cost-diff	6	(.f64 (sqrt.f64 (.f64 z y)) (sqrt.f64 (*.f64 z y)))
cost-diff	0	(neg.f64 y)
cost-diff	0	(*.f64 x z)
cost-diff	0	(fma.f64 (*.f64 x z) (neg.f64 y) x)
cost-diff	0	#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	29	238
0	54	199
1	122	177
2	473	177
3	3021	175
0	8029	170

Stop Event

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

Calls

Call 1

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

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

localize182.0ms (2.8%)

Memory

-36.2MiB live, 208.6MiB allocated; 91ms collecting garbage

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.8084621758824748	(.f64 x (.f64 (neg.f64 x) (*.f64 (neg.f64 y) z)))
accuracy	2.748480759786694	(.f64 (neg.f64 x) (.f64 (neg.f64 y) z))
accuracy	7.144483774094734	(-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 x) (.f64 (neg.f64 y) z)) #s(literal 3 binary64)))
accuracy	24.43796267954079	(/.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))))))
accuracy	0.0	(*.f64 z y)
accuracy	0.21322250976844204	(.f64 (sqrt.f64 (.f64 z y)) (sqrt.f64 (*.f64 z y)))
accuracy	0.9846900479787464	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (.f64 z y)) (sqrt.f64 (.f64 z y)))))
accuracy	7.603068583170264	(sqrt.f64 (*.f64 z y))
accuracy	0.0	(*.f64 x z)
accuracy	0.0	(neg.f64 y)
accuracy	2.1455149306150174	(fma.f64 (*.f64 x z) (neg.f64 y) x)
accuracy	0.9846900479787464	(.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64)))
accuracy	14.58754449422045	#s(approx (- 1 (* y z)) #s(literal 1 binary64))
accuracy	0.0	(*.f64 x (neg.f64 y))
accuracy	0.0	(neg.f64 y)
accuracy	1.9981715359033307	(fma.f64 (*.f64 x (neg.f64 y)) z x)

Samples

122.0ms	126×	0	invalid
30.0ms	130×	0	valid

Compiler

Compiled 243 to 34 computations (86% saved)

Precisions

Click to see histograms. Total time spent on operations: 134.0ms

ival-mult: 65.0ms (48.5% of total)

ival-pow: 54.0ms (40.3% of total)

ival-add: 4.0ms (3% of total)

ival-neg: 4.0ms (3% of total)

ival-sub: 3.0ms (2.2% of total)

ival-sqrt: 2.0ms (1.5% of total)

ival-div: 1.0ms (0.7% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series51.0ms (0.8%)

Memory

4.8MiB live, 100.6MiB allocated; 10ms collecting garbage

Counts

18 → 70

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))
(fma.f64 (*.f64 x z) (neg.f64 y) x)
(*.f64 x z)
(.f64 (sqrt.f64 (.f64 z y)) (sqrt.f64 (*.f64 z y)))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (.f64 z y)) (sqrt.f64 (.f64 z y)))))
(-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (.f64 z y)) (sqrt.f64 (*.f64 z y))))
(sqrt.f64 (*.f64 z y))
(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 (neg.f64 x) (.f64 (neg.f64 y) z))
(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 (-.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 z y)
(-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 x) (.f64 (neg.f64 y) z)) #s(literal 3 binary64)))
(.f64 x (.f64 (neg.f64 x) (*.f64 (neg.f64 y) z)))

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

Calls

9 calls:

Time	Variable		Point	Expression
8.0ms	x	@	-inf	((+ (* (* x (neg y)) z) x) (* x (neg y)) (neg y) (* x (- 1 (* y z))) (- 1 (* y z)) (+ (* (* x z) (neg y)) x) (* x z) (* (sqrt (* z y)) (sqrt (* z y))) (* x (- 1 (* (sqrt (* z y)) (sqrt (* z y))))) (- 1 (* (sqrt (* z y)) (sqrt (* z y)))) (sqrt (* z y)) (+ (* (* (neg x) (* (neg y) z)) (* (neg x) (* (neg y) z))) (* x (* (neg x) (* (neg y) z)))) (* (neg x) (* (neg y) z)) (+ (* x x) (+ (* (* (neg x) (* (neg y) z)) (* (neg x) (* (neg y) z))) (* x (* (neg x) (* (neg y) z))))) (/ (- (pow x 3) (pow (* (neg x) (* (neg y) z)) 3)) (+ (* x x) (+ (* (* (neg x) (* (neg y) z)) (* (neg x) (* (neg y) z))) (* x (* (neg x) (* (neg y) z)))))) (* z y) (- (pow x 3) (pow (* (neg x) (* (neg y) z)) 3)) (* x (* (neg x) (* (neg y) z))))
7.0ms	y	@	inf	((+ (* (* x (neg y)) z) x) (* x (neg y)) (neg y) (* x (- 1 (* y z))) (- 1 (* y z)) (+ (* (* x z) (neg y)) x) (* x z) (* (sqrt (* z y)) (sqrt (* z y))) (* x (- 1 (* (sqrt (* z y)) (sqrt (* z y))))) (- 1 (* (sqrt (* z y)) (sqrt (* z y)))) (sqrt (* z y)) (+ (* (* (neg x) (* (neg y) z)) (* (neg x) (* (neg y) z))) (* x (* (neg x) (* (neg y) z)))) (* (neg x) (* (neg y) z)) (+ (* x x) (+ (* (* (neg x) (* (neg y) z)) (* (neg x) (* (neg y) z))) (* x (* (neg x) (* (neg y) z))))) (/ (- (pow x 3) (pow (* (neg x) (* (neg y) z)) 3)) (+ (* x x) (+ (* (* (neg x) (* (neg y) z)) (* (neg x) (* (neg y) z))) (* x (* (neg x) (* (neg y) z)))))) (* z y) (- (pow x 3) (pow (* (neg x) (* (neg y) z)) 3)) (* x (* (neg x) (* (neg y) z))))
6.0ms	x	@	0	((+ (* (* x (neg y)) z) x) (* x (neg y)) (neg y) (* x (- 1 (* y z))) (- 1 (* y z)) (+ (* (* x z) (neg y)) x) (* x z) (* (sqrt (* z y)) (sqrt (* z y))) (* x (- 1 (* (sqrt (* z y)) (sqrt (* z y))))) (- 1 (* (sqrt (* z y)) (sqrt (* z y)))) (sqrt (* z y)) (+ (* (* (neg x) (* (neg y) z)) (* (neg x) (* (neg y) z))) (* x (* (neg x) (* (neg y) z)))) (* (neg x) (* (neg y) z)) (+ (* x x) (+ (* (* (neg x) (* (neg y) z)) (* (neg x) (* (neg y) z))) (* x (* (neg x) (* (neg y) z))))) (/ (- (pow x 3) (pow (* (neg x) (* (neg y) z)) 3)) (+ (* x x) (+ (* (* (neg x) (* (neg y) z)) (* (neg x) (* (neg y) z))) (* x (* (neg x) (* (neg y) z)))))) (* z y) (- (pow x 3) (pow (* (neg x) (* (neg y) z)) 3)) (* x (* (neg x) (* (neg y) z))))
6.0ms	z	@	inf	((+ (* (* x (neg y)) z) x) (* x (neg y)) (neg y) (* x (- 1 (* y z))) (- 1 (* y z)) (+ (* (* x z) (neg y)) x) (* x z) (* (sqrt (* z y)) (sqrt (* z y))) (* x (- 1 (* (sqrt (* z y)) (sqrt (* z y))))) (- 1 (* (sqrt (* z y)) (sqrt (* z y)))) (sqrt (* z y)) (+ (* (* (neg x) (* (neg y) z)) (* (neg x) (* (neg y) z))) (* x (* (neg x) (* (neg y) z)))) (* (neg x) (* (neg y) z)) (+ (* x x) (+ (* (* (neg x) (* (neg y) z)) (* (neg x) (* (neg y) z))) (* x (* (neg x) (* (neg y) z))))) (/ (- (pow x 3) (pow (* (neg x) (* (neg y) z)) 3)) (+ (* x x) (+ (* (* (neg x) (* (neg y) z)) (* (neg x) (* (neg y) z))) (* x (* (neg x) (* (neg y) z)))))) (* z y) (- (pow x 3) (pow (* (neg x) (* (neg y) z)) 3)) (* x (* (neg x) (* (neg y) z))))
6.0ms	y	@	-inf	((+ (* (* x (neg y)) z) x) (* x (neg y)) (neg y) (* x (- 1 (* y z))) (- 1 (* y z)) (+ (* (* x z) (neg y)) x) (* x z) (* (sqrt (* z y)) (sqrt (* z y))) (* x (- 1 (* (sqrt (* z y)) (sqrt (* z y))))) (- 1 (* (sqrt (* z y)) (sqrt (* z y)))) (sqrt (* z y)) (+ (* (* (neg x) (* (neg y) z)) (* (neg x) (* (neg y) z))) (* x (* (neg x) (* (neg y) z)))) (* (neg x) (* (neg y) z)) (+ (* x x) (+ (* (* (neg x) (* (neg y) z)) (* (neg x) (* (neg y) z))) (* x (* (neg x) (* (neg y) z))))) (/ (- (pow x 3) (pow (* (neg x) (* (neg y) z)) 3)) (+ (* x x) (+ (* (* (neg x) (* (neg y) z)) (* (neg x) (* (neg y) z))) (* x (* (neg x) (* (neg y) z)))))) (* z y) (- (pow x 3) (pow (* (neg x) (* (neg y) z)) 3)) (* x (* (neg x) (* (neg y) z))))

simplify158.0ms (2.4%)

Memory

43.6MiB live, 260.7MiB allocated; 36ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	272	883
1	1000	712
2	4079	712
0	8658	682

Stop Event

1×	iter limit
1×	node limit

Counts

70 → 69

Calls

Call 1

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

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)
(* (pow x 2) (+ (* y z) (* (pow y 2) (pow z 2))))
(.f64 (.f64 (.f64 x x) y) (fma.f64 (.f64 z z) y z))
(* x (* y z))
(.f64 (.f64 z x) y)
(* (pow x 2) (+ 1 (+ (* y z) (* (pow y 2) (pow z 2)))))
(.f64 (fma.f64 (.f64 (.f64 y y) z) z (fma.f64 z y #s(literal 1 binary64))) (.f64 x x))
(/ (* x (- 1 (* (pow y 3) (pow z 3)))) (+ 1 (+ (* y z) (* (pow y 2) (pow z 2)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64))) x) (fma.f64 (.f64 (.f64 y y) z) z (fma.f64 z y #s(literal 1 binary64))))
(* (pow x 3) (- 1 (* (pow y 3) (pow z 3))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64))))
(* (pow x 2) (* y z))
(.f64 (.f64 (*.f64 z x) y) x)
(* -1 (* x (- (* y z) 1)))
(.f64 (neg.f64 x) (-.f64 (.f64 z y) #s(literal 1 binary64)))
(/ (* x (+ 1 (* -1 (* (pow y 3) (pow z 3))))) (+ 1 (+ (* y z) (* (pow y 2) (pow z 2)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64))) x) (fma.f64 (.f64 (.f64 y y) z) z (fma.f64 z y #s(literal 1 binary64))))
(* (pow x 3) (+ 1 (* -1 (* (pow y 3) (pow z 3)))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64))))
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))
(* y z)
(*.f64 z y)
(sqrt (* y z))
(sqrt.f64 (*.f64 z y))
(* y (+ (* (pow x 2) z) (* (pow x 2) (* y (pow z 2)))))
(.f64 (.f64 (.f64 x x) y) (fma.f64 (.f64 z z) y z))
(pow x 2)
(*.f64 x x)
(+ (* (pow x 2) (* y z)) (pow x 2))
(.f64 (fma.f64 z y #s(literal 1 binary64)) (.f64 x x))
(+ (* y (+ (* (pow x 2) z) (* (pow x 2) (* y (pow z 2))))) (pow x 2))
(.f64 (fma.f64 (.f64 (.f64 y y) z) z (fma.f64 z y #s(literal 1 binary64))) (.f64 x x))
(+ x (* y (- (* -1 (* y (+ (* -1 (* x (pow z 2))) (* x (pow z 2))))) (* x z))))
(fma.f64 (neg.f64 (fma.f64 #s(literal 0 binary64) y (*.f64 z x))) y x)
(+ x (* y (- (* y (- (* y (* z (+ (* -1 (* x (pow z 2))) (* x (pow z 2))))) (+ (* -1 (* x (pow z 2))) (* x (pow z 2))))) (* x z))))
(fma.f64 (fma.f64 (neg.f64 x) z (.f64 (fma.f64 #s(literal 0 binary64) (.f64 z y) #s(literal 0 binary64)) y)) y x)
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(+ (* -1 (* (pow x 3) (* (pow y 3) (pow z 3)))) (pow x 3))
(.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64))))
(* -1 (* x (* y z)))
(.f64 (neg.f64 x) (.f64 z y))
(* y (+ (* -1 (* x z)) (/ x y)))
(*.f64 (fma.f64 (neg.f64 x) z (/.f64 x y)) y)
(* -1 (* y z))
(*.f64 (neg.f64 z) y)
(* y (- (/ 1 y) z))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) z) y)
(* (pow x 2) (* (pow y 2) (pow z 2)))
(.f64 (.f64 (.f64 (.f64 (*.f64 z x) y) x) z) y)
(* (pow y 2) (+ (* (pow x 2) (pow z 2)) (/ (* (pow x 2) z) y)))
(.f64 (.f64 (.f64 x x) (fma.f64 z z (/.f64 z y))) (.f64 y y))
(* (pow y 2) (+ (* (pow x 2) (pow z 2)) (+ (/ (* (pow x 2) z) y) (/ (pow x 2) (pow y 2)))))
(.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (.f64 (.f64 x x) (fma.f64 z z (/.f64 z y)))) (.f64 y y))
(* y (- (+ (* -1 (* x z)) (* -1 (/ (+ (* -1 (/ x z)) (/ x z)) (pow y 2)))) (* -1 (/ x y))))
(*.f64 (fma.f64 (fma.f64 z x #s(literal 0 binary64)) #s(literal -1 binary64) (/.f64 x y)) y)
(* y (- (+ (* -1 (* x z)) (+ (* -1 (/ x (* (pow y 3) (pow z 2)))) (/ x (* (pow y 3) (pow z 2))))) (+ (* -1 (/ x y)) (+ (* -1 (/ x (* (pow y 2) z))) (/ x (* (pow y 2) z))))))
(*.f64 (fma.f64 (fma.f64 z x #s(literal 0 binary64)) #s(literal -1 binary64) (/.f64 x y)) y)
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3))))
(pow.f64 (.f64 (neg.f64 x) (.f64 z y)) #s(literal 3 binary64))
(* (pow y 3) (- (/ (pow x 3) (pow y 3)) (* (pow x 3) (pow z 3))))
(.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 (.f64 z x) #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))
(* -1 (* y (+ (* -1 (/ x y)) (* x z))))
(*.f64 (fma.f64 (neg.f64 x) z (/.f64 x y)) y)
(* y (+ (* -1 z) (/ 1 y)))
(-.f64 #s(literal 1 binary64) (*.f64 z y))
(* -1 (* y (* z (pow (sqrt -1) 2))))
(*.f64 z y)
(* x (* y (* z (pow (sqrt -1) 2))))
(.f64 (neg.f64 x) (.f64 z y))
(* -1 (* y (+ (* -1 (* x (* z (pow (sqrt -1) 2)))) (* -1 (/ x y)))))
(*.f64 (fma.f64 (neg.f64 x) z (/.f64 x y)) 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))
(* -1 (* (sqrt (* y z)) (pow (sqrt -1) 2)))
(.f64 (sqrt.f64 (.f64 z y)) #s(literal 1 binary64))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (* (pow x 2) z)) (* -1 (/ (pow x 2) y))) y)) (* (pow x 2) (pow z 2))))
(.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (.f64 (.f64 x x) (fma.f64 z z (/.f64 z y)))) (.f64 y y))
(* -1 (* y (+ (* -1 (/ (- (+ (* -1 (/ x (* y z))) (/ x (* y z))) (* -1 x)) y)) (* x z))))
(*.f64 (fma.f64 (fma.f64 z x #s(literal 0 binary64)) #s(literal -1 binary64) (/.f64 x y)) y)
(* -1 (* y (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ x (pow z 2)) (+ (* -1 (/ x (pow z 2))) (* 2 (/ x (pow z 2))))) y)) (+ (* -1 (/ x z)) (/ x z))) y)) (* -1 x)) y)) (* x z))))
(*.f64 (fma.f64 (fma.f64 z x #s(literal 0 binary64)) #s(literal -1 binary64) (/.f64 x y)) y)
(* -1 (* (pow y 3) (- (* -1 (/ (pow x 3) (pow y 3))) (* -1 (* (pow x 3) (pow z 3))))))
(.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 (.f64 z x) #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))
(* z (+ (* (pow x 2) y) (* (pow x 2) (* (pow y 2) z))))
(.f64 (.f64 (.f64 x x) y) (fma.f64 (.f64 z z) y z))
(+ (* z (+ (* (pow x 2) y) (* (pow x 2) (* (pow y 2) z)))) (pow x 2))
(.f64 (fma.f64 (.f64 (.f64 y y) z) z (fma.f64 z y #s(literal 1 binary64))) (.f64 x x))
(+ x (* z (- (* -1 (* z (+ (* -1 (* x (pow y 2))) (* x (pow y 2))))) (* x y))))
(fma.f64 (neg.f64 (fma.f64 #s(literal 0 binary64) z (*.f64 y x))) z x)
(+ x (* z (- (* z (- (* y (* z (+ (* -1 (* x (pow y 2))) (* x (pow y 2))))) (+ (* -1 (* x (pow y 2))) (* x (pow y 2))))) (* x y))))
(fma.f64 (fma.f64 (neg.f64 x) y (.f64 (fma.f64 #s(literal 0 binary64) (.f64 z y) #s(literal 0 binary64)) z)) z x)
(* z (+ (* -1 (* x y)) (/ x z)))
(*.f64 (fma.f64 (neg.f64 x) y (/.f64 x z)) z)
(* z (- (/ 1 z) y))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) y) z)
(* (pow z 2) (+ (* (pow x 2) (pow y 2)) (/ (* (pow x 2) y) z)))
(.f64 (.f64 (.f64 x x) (fma.f64 y y (/.f64 y z))) (.f64 z z))
(* (pow z 2) (+ (* (pow x 2) (pow y 2)) (+ (/ (* (pow x 2) y) z) (/ (pow x 2) (pow z 2)))))
(.f64 (.f64 (fma.f64 (/.f64 x z) (/.f64 x z) (.f64 (.f64 x x) (fma.f64 y y (/.f64 y z)))) z) z)
(* z (- (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (/ x y)) (/ x y)) (pow z 2)))) (* -1 (/ x z))))
(*.f64 (fma.f64 (fma.f64 y x #s(literal 0 binary64)) #s(literal -1 binary64) (/.f64 x z)) z)
(* z (- (+ (* -1 (* x y)) (+ (* -1 (/ x (* (pow y 2) (pow z 3)))) (/ x (* (pow y 2) (pow z 3))))) (+ (* -1 (/ x z)) (+ (* -1 (/ x (* y (pow z 2)))) (/ x (* y (pow z 2)))))))
(*.f64 (fma.f64 (fma.f64 y x #s(literal 0 binary64)) #s(literal -1 binary64) (/.f64 x z)) z)
(* (pow z 3) (- (/ (pow x 3) (pow z 3)) (* (pow x 3) (pow y 3))))
(.f64 (-.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (pow.f64 z #s(literal 3 binary64)))
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(*.f64 (fma.f64 (neg.f64 x) y (/.f64 x z)) z)
(* z (+ (* -1 y) (/ 1 z)))
(-.f64 #s(literal 1 binary64) (*.f64 z y))
(* -1 (* z (+ (* -1 (* x (* y (pow (sqrt -1) 2)))) (* -1 (/ x z)))))
(*.f64 (fma.f64 (neg.f64 x) y (/.f64 x z)) z)
(* z (+ (* y (pow (sqrt -1) 2)) (/ 1 z)))
(-.f64 #s(literal 1 binary64) (*.f64 z y))
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (* (pow x 2) y)) (* -1 (/ (pow x 2) z))) z)) (* (pow x 2) (pow y 2))))
(.f64 (.f64 (fma.f64 (/.f64 x z) (/.f64 x z) (.f64 (.f64 x x) (fma.f64 y y (/.f64 y z)))) z) z)
(* -1 (* z (+ (* -1 (/ (- (+ (* -1 (/ x (* y z))) (/ x (* y z))) (* -1 x)) z)) (* x y))))
(*.f64 (fma.f64 (fma.f64 y x #s(literal 0 binary64)) #s(literal -1 binary64) (/.f64 x z)) z)
(* -1 (* z (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ x (pow y 2)) (+ (* -1 (/ x (pow y 2))) (* 2 (/ x (pow y 2))))) z)) (+ (* -1 (/ x y)) (/ x y))) z)) (* -1 x)) z)) (* x y))))
(*.f64 (fma.f64 (fma.f64 y x #s(literal 0 binary64)) #s(literal -1 binary64) (/.f64 x z)) z)
(* -1 (* (pow z 3) (- (* -1 (/ (pow x 3) (pow z 3))) (* -1 (* (pow x 3) (pow y 3))))))
(.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64))))

rewrite270.0ms (4.2%)

Memory

-25.6MiB live, 313.8MiB allocated; 106ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	200
0	54	134
1	234	120
2	1701	120
0	9264	111

Stop Event

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

Counts

18 → 1 698

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))
(fma.f64 (*.f64 x z) (neg.f64 y) x)
(*.f64 x z)
(.f64 (sqrt.f64 (.f64 z y)) (sqrt.f64 (*.f64 z y)))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (.f64 z y)) (sqrt.f64 (.f64 z y)))))
(-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (.f64 z y)) (sqrt.f64 (*.f64 z y))))
(sqrt.f64 (*.f64 z y))
(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 (neg.f64 x) (.f64 (neg.f64 y) z))
(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 (-.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 z y)
(-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 x) (.f64 (neg.f64 y) z)) #s(literal 3 binary64)))
(.f64 x (.f64 (neg.f64 x) (*.f64 (neg.f64 y) z)))

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

eval335.0ms (5.2%)

Memory: 17.7MiB live, 368.1MiB allocated; 69ms collecting garbage
Compiler: Compiled 58 335 to 4 740 computations (91.9% saved)

prune41.0ms (0.6%)

Memory

49.8MiB live, 141.5MiB allocated; 16ms collecting garbage

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	1 543	3	1 546
Fresh	1	2	3
Picked	1	4	5
Done	0	0	0
Total	1 545	9	1 554

Accuracy

100.0%

Counts

1 554 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	95.0%	(fma.f64 (*.f64 x (neg.f64 y)) z x)
✓	94.6%	(fma.f64 (*.f64 x z) (neg.f64 y) x)
▶	27.2%	(/.f64 (fma.f64 (.f64 (pow.f64 (.f64 (.f64 z y) x) #s(literal 2 binary64)) (.f64 z y)) (neg.f64 x) (pow.f64 x #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))))))
▶	13.0%	(/.f64 #s(approx (- (pow x 3) (pow (* (neg x) (* (neg y) z)) 3)) (pow.f64 (.f64 (neg.f64 x) (.f64 z y)) #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))))))
▶	71.6%	(.f64 x (fma.f64 (/.f64 (neg.f64 y) (fma.f64 z y #s(literal 1 binary64))) (/.f64 (.f64 (*.f64 z z) y) #s(literal 1 binary64)) (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64))))
▶	54.5%	(.f64 x (fma.f64 (sqrt.f64 (.f64 (*.f64 y y) z)) (sqrt.f64 z) #s(literal 1 binary64)))
✓	56.6%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (.f64 z y)) (sqrt.f64 (.f64 z y)))))
▶	47.3%	(.f64 x #s(approx (- 1 ( (sqrt (* z y)) (sqrt (* z y)))) (*.f64 (neg.f64 z) y)))
✓	52.5%	(.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64)))

Compiler

Compiled 332 to 188 computations (43.4% saved)

simplify198.0ms (3%)

Memory

-21.9MiB live, 234.2MiB allocated; 110ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	2	(.f64 (neg.f64 x) (.f64 (neg.f64 y) z))
cost-diff	2	(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)))))
cost-diff	6	(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))))
cost-diff	6	(fma.f64 (.f64 (pow.f64 (.f64 (.f64 z y) x) #s(literal 2 binary64)) (.f64 z y)) (neg.f64 x) (pow.f64 x #s(literal 3 binary64)))
cost-diff	0	(/.f64 #s(approx (- (pow x 3) (pow (* (neg x) (* (neg y) z)) 3)) (pow.f64 (.f64 (neg.f64 x) (.f64 z y)) #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))))))
cost-diff	2	(.f64 (neg.f64 x) (.f64 (neg.f64 y) z))
cost-diff	2	(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)))))
cost-diff	6	(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))))
cost-diff	0	(.f64 (.f64 y y) z)
cost-diff	0	(sqrt.f64 (.f64 (.f64 y y) z))
cost-diff	0	(fma.f64 (sqrt.f64 (.f64 (.f64 y y) z)) (sqrt.f64 z) #s(literal 1 binary64))
cost-diff	0	(.f64 x (fma.f64 (sqrt.f64 (.f64 (*.f64 y y) z)) (sqrt.f64 z) #s(literal 1 binary64)))
cost-diff	0	(neg.f64 z)
cost-diff	0	(*.f64 (neg.f64 z) y)
cost-diff	0	#s(approx (- 1 (* (sqrt (* z y)) (sqrt (* z y)))) (*.f64 (neg.f64 z) y))
cost-diff	0	(.f64 x #s(approx (- 1 ( (sqrt (* z y)) (sqrt (* z y)))) (*.f64 (neg.f64 z) y)))
cost-diff	0	(/.f64 (neg.f64 y) (fma.f64 z y #s(literal 1 binary64)))
cost-diff	0	(.f64 x (fma.f64 (/.f64 (neg.f64 y) (fma.f64 z y #s(literal 1 binary64))) (/.f64 (.f64 (*.f64 z z) y) #s(literal 1 binary64)) (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64))))
cost-diff	2	(/.f64 (.f64 (.f64 z z) y) #s(literal 1 binary64))
cost-diff	5	(fma.f64 (/.f64 (neg.f64 y) (fma.f64 z y #s(literal 1 binary64))) (/.f64 (.f64 (.f64 z z) y) #s(literal 1 binary64)) (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	507
0	93	449
1	213	391
2	900	383
3	3284	379
0	8218	375

Stop Event

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

Calls

Call 1

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

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

localize266.0ms (4.1%)

Memory

-19.8MiB live, 311.7MiB allocated; 39ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	1.2835407561988785	(.f64 (.f64 z y) x)
accuracy	1.2835407561988785	(.f64 (neg.f64 x) (.f64 (neg.f64 y) z))
accuracy	3.4570044157926754	(fma.f64 (.f64 (pow.f64 (.f64 (.f64 z y) x) #s(literal 2 binary64)) (.f64 z y)) (neg.f64 x) (pow.f64 x #s(literal 3 binary64)))
accuracy	13.421911188872734	(/.f64 (fma.f64 (.f64 (pow.f64 (.f64 (.f64 z y) x) #s(literal 2 binary64)) (.f64 z y)) (neg.f64 x) (pow.f64 x #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))))))
accuracy	1.2835407561988785	(.f64 (neg.f64 x) (.f64 (neg.f64 y) z))
accuracy	1.2835407561988785	(.f64 (neg.f64 x) (.f64 z y))
accuracy	4.6883284218711205	#s(approx (- (pow x 3) (pow (* (neg x) (* (neg y) z)) 3)) (pow.f64 (.f64 (neg.f64 x) (.f64 z y)) #s(literal 3 binary64)))
accuracy	13.421911188872734	(/.f64 #s(approx (- (pow x 3) (pow (* (neg x) (* (neg y) z)) 3)) (pow.f64 (.f64 (neg.f64 x) (.f64 z y)) #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))))))
accuracy	0.04296875	(fma.f64 (sqrt.f64 (.f64 (.f64 y y) z)) (sqrt.f64 z) #s(literal 1 binary64))
accuracy	0.4874547803962367	(.f64 x (fma.f64 (sqrt.f64 (.f64 (*.f64 y y) z)) (sqrt.f64 z) #s(literal 1 binary64)))
accuracy	0.7305153561576279	(.f64 (.f64 y y) z)
accuracy	6.466002733788402	(sqrt.f64 (.f64 (.f64 y y) z))
accuracy	0.0	(*.f64 (neg.f64 z) y)
accuracy	0.0	(neg.f64 z)
accuracy	0.4874547803962367	(.f64 x #s(approx (- 1 ( (sqrt (* z y)) (sqrt (* z y)))) (*.f64 (neg.f64 z) y)))
accuracy	8.454174461527982	#s(approx (- 1 (* (sqrt (* z y)) (sqrt (* z y)))) (*.f64 (neg.f64 z) y))
accuracy	0.4874547803962367	(.f64 x (fma.f64 (/.f64 (neg.f64 y) (fma.f64 z y #s(literal 1 binary64))) (/.f64 (.f64 (*.f64 z z) y) #s(literal 1 binary64)) (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64))))
accuracy	1.192969045420738	(.f64 (.f64 z z) y)
accuracy	1.6254230719816292	(/.f64 (neg.f64 y) (fma.f64 z y #s(literal 1 binary64)))
accuracy	3.7814648400180886	(fma.f64 (/.f64 (neg.f64 y) (fma.f64 z y #s(literal 1 binary64))) (/.f64 (.f64 (.f64 z z) y) #s(literal 1 binary64)) (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)))

Samples

82.0ms	192×	0	invalid
33.0ms	64×	0	valid

Compiler

Compiled 504 to 53 computations (89.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 86.0ms

ival-mult: 41.0ms (47.4% of total)

ival-pow: 18.0ms (20.8% of total)

ival-add: 7.0ms (8.1% of total)

ival-div: 6.0ms (6.9% of total)

ival-sqrt: 5.0ms (5.8% of total)

ival-neg: 4.0ms (4.6% of total)

ival-sub: 2.0ms (2.3% of total)

ival-pow2: 2.0ms (2.3% of total)

exact: 1.0ms (1.2% of total)

adjust: 0.0ms (0% of total)

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

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

series104.0ms (1.6%)

Memory

16.1MiB live, 110.8MiB allocated; 15ms collecting garbage

Counts

22 → 107

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
37.0ms	y	@	-inf	((+ (* (/ (neg y) (+ (* z y) 1)) (/ (* (* z z) y) 1)) (pow (+ (* z y) 1) -1)) (/ (* (* z z) y) 1) (* x (+ (* (/ (neg y) (+ (* z y) 1)) (/ (* (* z z) y) 1)) (pow (+ (* z y) 1) -1))) (/ (neg y) (+ (* z y) 1)) (* x (- 1 (* (sqrt (* z y)) (sqrt (* z y))))) (- 1 (* (sqrt (* z y)) (sqrt (* z y)))) (* (neg z) y) (neg z) (* x (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1)) (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1) (sqrt (* (* y y) z)) (* (* y y) z) (+ (* (* (neg x) (* (neg y) z)) (* (neg x) (* (neg y) z))) (* x (* (neg x) (* (neg y) z)))) (+ (* x x) (+ (* (* (neg x) (* (neg y) z)) (* (neg x) (* (neg y) z))) (* x (* (neg x) (* (neg y) z))))) (* (neg x) (* (neg y) z)) (/ (- (pow x 3) (pow (* (neg x) (* (neg y) z)) 3)) (+ (* x x) (+ (* (* (neg x) (* (neg y) z)) (* (neg x) (* (neg y) z))) (* x (* (neg x) (* (neg y) z)))))) (+ (* (* (pow (* (* z y) x) 2) (* z y)) (neg x)) (pow x 3)) (* (* z z) y) (- (pow x 3) (pow (* (neg x) (* (neg y) z)) 3)) (* (neg x) (* z y)) (/ (+ (* (* (pow (* (* z y) x) 2) (* z y)) (neg x)) (pow x 3)) (+ (* x x) (+ (* (* (neg x) (* (neg y) z)) (* (neg x) (* (neg y) z))) (* x (* (neg x) (* (neg y) z)))))) (* (* z y) x))
23.0ms	y	@	0	((+ (* (/ (neg y) (+ (* z y) 1)) (/ (* (* z z) y) 1)) (pow (+ (* z y) 1) -1)) (/ (* (* z z) y) 1) (* x (+ (* (/ (neg y) (+ (* z y) 1)) (/ (* (* z z) y) 1)) (pow (+ (* z y) 1) -1))) (/ (neg y) (+ (* z y) 1)) (* x (- 1 (* (sqrt (* z y)) (sqrt (* z y))))) (- 1 (* (sqrt (* z y)) (sqrt (* z y)))) (* (neg z) y) (neg z) (* x (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1)) (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1) (sqrt (* (* y y) z)) (* (* y y) z) (+ (* (* (neg x) (* (neg y) z)) (* (neg x) (* (neg y) z))) (* x (* (neg x) (* (neg y) z)))) (+ (* x x) (+ (* (* (neg x) (* (neg y) z)) (* (neg x) (* (neg y) z))) (* x (* (neg x) (* (neg y) z))))) (* (neg x) (* (neg y) z)) (/ (- (pow x 3) (pow (* (neg x) (* (neg y) z)) 3)) (+ (* x x) (+ (* (* (neg x) (* (neg y) z)) (* (neg x) (* (neg y) z))) (* x (* (neg x) (* (neg y) z)))))) (+ (* (* (pow (* (* z y) x) 2) (* z y)) (neg x)) (pow x 3)) (* (* z z) y) (- (pow x 3) (pow (* (neg x) (* (neg y) z)) 3)) (* (neg x) (* z y)) (/ (+ (* (* (pow (* (* z y) x) 2) (* z y)) (neg x)) (pow x 3)) (+ (* x x) (+ (* (* (neg x) (* (neg y) z)) (* (neg x) (* (neg y) z))) (* x (* (neg x) (* (neg y) z)))))) (* (* z y) x))
7.0ms	z	@	-inf	((+ (* (/ (neg y) (+ (* z y) 1)) (/ (* (* z z) y) 1)) (pow (+ (* z y) 1) -1)) (/ (* (* z z) y) 1) (* x (+ (* (/ (neg y) (+ (* z y) 1)) (/ (* (* z z) y) 1)) (pow (+ (* z y) 1) -1))) (/ (neg y) (+ (* z y) 1)) (* x (- 1 (* (sqrt (* z y)) (sqrt (* z y))))) (- 1 (* (sqrt (* z y)) (sqrt (* z y)))) (* (neg z) y) (neg z) (* x (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1)) (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1) (sqrt (* (* y y) z)) (* (* y y) z) (+ (* (* (neg x) (* (neg y) z)) (* (neg x) (* (neg y) z))) (* x (* (neg x) (* (neg y) z)))) (+ (* x x) (+ (* (* (neg x) (* (neg y) z)) (* (neg x) (* (neg y) z))) (* x (* (neg x) (* (neg y) z))))) (* (neg x) (* (neg y) z)) (/ (- (pow x 3) (pow (* (neg x) (* (neg y) z)) 3)) (+ (* x x) (+ (* (* (neg x) (* (neg y) z)) (* (neg x) (* (neg y) z))) (* x (* (neg x) (* (neg y) z)))))) (+ (* (* (pow (* (* z y) x) 2) (* z y)) (neg x)) (pow x 3)) (* (* z z) y) (- (pow x 3) (pow (* (neg x) (* (neg y) z)) 3)) (* (neg x) (* z y)) (/ (+ (* (* (pow (* (* z y) x) 2) (* z y)) (neg x)) (pow x 3)) (+ (* x x) (+ (* (* (neg x) (* (neg y) z)) (* (neg x) (* (neg y) z))) (* x (* (neg x) (* (neg y) z)))))) (* (* z y) x))
6.0ms	y	@	inf	((+ (* (/ (neg y) (+ (* z y) 1)) (/ (* (* z z) y) 1)) (pow (+ (* z y) 1) -1)) (/ (* (* z z) y) 1) (* x (+ (* (/ (neg y) (+ (* z y) 1)) (/ (* (* z z) y) 1)) (pow (+ (* z y) 1) -1))) (/ (neg y) (+ (* z y) 1)) (* x (- 1 (* (sqrt (* z y)) (sqrt (* z y))))) (- 1 (* (sqrt (* z y)) (sqrt (* z y)))) (* (neg z) y) (neg z) (* x (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1)) (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1) (sqrt (* (* y y) z)) (* (* y y) z) (+ (* (* (neg x) (* (neg y) z)) (* (neg x) (* (neg y) z))) (* x (* (neg x) (* (neg y) z)))) (+ (* x x) (+ (* (* (neg x) (* (neg y) z)) (* (neg x) (* (neg y) z))) (* x (* (neg x) (* (neg y) z))))) (* (neg x) (* (neg y) z)) (/ (- (pow x 3) (pow (* (neg x) (* (neg y) z)) 3)) (+ (* x x) (+ (* (* (neg x) (* (neg y) z)) (* (neg x) (* (neg y) z))) (* x (* (neg x) (* (neg y) z)))))) (+ (* (* (pow (* (* z y) x) 2) (* z y)) (neg x)) (pow x 3)) (* (* z z) y) (- (pow x 3) (pow (* (neg x) (* (neg y) z)) 3)) (* (neg x) (* z y)) (/ (+ (* (* (pow (* (* z y) x) 2) (* z y)) (neg x)) (pow x 3)) (+ (* x x) (+ (* (* (neg x) (* (neg y) z)) (* (neg x) (* (neg y) z))) (* x (* (neg x) (* (neg y) z)))))) (* (* z y) x))
6.0ms	z	@	inf	((+ (* (/ (neg y) (+ (* z y) 1)) (/ (* (* z z) y) 1)) (pow (+ (* z y) 1) -1)) (/ (* (* z z) y) 1) (* x (+ (* (/ (neg y) (+ (* z y) 1)) (/ (* (* z z) y) 1)) (pow (+ (* z y) 1) -1))) (/ (neg y) (+ (* z y) 1)) (* x (- 1 (* (sqrt (* z y)) (sqrt (* z y))))) (- 1 (* (sqrt (* z y)) (sqrt (* z y)))) (* (neg z) y) (neg z) (* x (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1)) (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1) (sqrt (* (* y y) z)) (* (* y y) z) (+ (* (* (neg x) (* (neg y) z)) (* (neg x) (* (neg y) z))) (* x (* (neg x) (* (neg y) z)))) (+ (* x x) (+ (* (* (neg x) (* (neg y) z)) (* (neg x) (* (neg y) z))) (* x (* (neg x) (* (neg y) z))))) (* (neg x) (* (neg y) z)) (/ (- (pow x 3) (pow (* (neg x) (* (neg y) z)) 3)) (+ (* x x) (+ (* (* (neg x) (* (neg y) z)) (* (neg x) (* (neg y) z))) (* x (* (neg x) (* (neg y) z)))))) (+ (* (* (pow (* (* z y) x) 2) (* z y)) (neg x)) (pow x 3)) (* (* z z) y) (- (pow x 3) (pow (* (neg x) (* (neg y) z)) 3)) (* (neg x) (* z y)) (/ (+ (* (* (pow (* (* z y) x) 2) (* z y)) (neg x)) (pow x 3)) (+ (* x x) (+ (* (* (neg x) (* (neg y) z)) (* (neg x) (* (neg y) z))) (* x (* (neg x) (* (neg y) z)))))) (* (* z y) x))

simplify178.0ms (2.7%)

Memory

23.8MiB live, 206.7MiB allocated; 41ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	404	1403
1	1426	1211
2	5381	1203
0	8291	1152

Stop Event

1×	iter limit
1×	node limit

Counts

107 → 106

Calls

Call 1

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

Outputs
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(.f64 (/.f64 (fma.f64 (.f64 (*.f64 (neg.f64 y) y) z) z #s(literal 1 binary64)) (fma.f64 z y #s(literal 1 binary64))) x)
(* x (- 1 (* y z)))
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(* x (+ 1 (* y z)))
(*.f64 (fma.f64 z y #s(literal 1 binary64)) x)
(* (pow x 2) (+ (* y z) (* (pow y 2) (pow z 2))))
(.f64 (.f64 (.f64 x x) y) (fma.f64 (.f64 z y) z z))
(* (pow x 2) (+ 1 (+ (* y z) (* (pow y 2) (pow z 2)))))
(.f64 (fma.f64 (.f64 (.f64 z y) y) z (fma.f64 z y #s(literal 1 binary64))) (.f64 x x))
(* x (* y z))
(.f64 (.f64 z y) x)
(/ (* x (- 1 (* (pow y 3) (pow z 3)))) (+ 1 (+ (* y z) (* (pow y 2) (pow z 2)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64))) x) (fma.f64 (.f64 (.f64 z y) y) z (fma.f64 z y #s(literal 1 binary64))))
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(* -1 (* x (* y z)))
(.f64 (neg.f64 z) (.f64 x y))
(/ (* x (+ 1 (* -1 (* (pow y 3) (pow z 3))))) (+ 1 (+ (* y z) (* (pow y 2) (pow z 2)))))
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1
#s(literal 1 binary64)
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(.f64 (.f64 z y) y)
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(* y (+ (* (pow x 2) z) (* (pow x 2) (* y (pow z 2)))))
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(+ (* -1 (* (pow x 3) (* (pow y 3) (pow z 3)))) (pow x 3))
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* y (+ (* -1 z) (/ 1 y)))
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(* y (+ (* -1 (* x z)) (/ x y)))
(*.f64 (fma.f64 (neg.f64 z) x (/.f64 x y)) y)
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(- (+ (/ 1 (* y (pow z 2))) (/ 1 (* (pow y 3) (pow z 4)))) (+ (/ 1 z) (/ 1 (* (pow y 2) (pow z 3)))))
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(* y (- (+ (* -1 (* x z)) (+ (* -1 (/ x (* (pow y 3) (pow z 2)))) (/ x (* (pow y 3) (pow z 2))))) (+ (* -1 (/ x y)) (+ (* -1 (/ x (* (pow y 2) z))) (/ x (* (pow y 2) z))))))
(*.f64 (fma.f64 (fma.f64 x z #s(literal 0 binary64)) #s(literal -1 binary64) (/.f64 x y)) y)
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(.f64 (fma.f64 (.f64 (.f64 z y) y) z (fma.f64 z y #s(literal 1 binary64))) (.f64 x x))
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(.f64 (.f64 (.f64 x x) (fma.f64 y y (/.f64 y z))) (.f64 z z))
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(*.f64 (fma.f64 (fma.f64 x y #s(literal 0 binary64)) #s(literal -1 binary64) (/.f64 x z)) z)
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(*.f64 (fma.f64 x y (/.f64 x z)) z)
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rewrite438.0ms (6.7%)

Memory

-8.5MiB live, 267.6MiB allocated; 115ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	54	339
0	92	297
1	364	193
2	2961	181
0	8679	181

Stop Event

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

Counts

22 → 1 655

Calls

Call 1

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

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

eval352.0ms (5.4%)

Memory: -1.2MiB live, 515.7MiB allocated; 90ms collecting garbage
Compiler: Compiled 73 259 to 4 437 computations (93.9% saved)

prune287.0ms (4.4%)

Memory

-19.3MiB live, 169.8MiB allocated; 123ms collecting garbage

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	1 757	4	1 761
Fresh	0	0	0
Picked	3	2	5
Done	1	3	4
Total	1 761	9	1 770

Accuracy

100.0%

Counts

1 770 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	56.6%	(fma.f64 (.f64 (neg.f64 x) (sqrt.f64 (.f64 z y))) (sqrt.f64 (*.f64 z y)) x)
✓	95.0%	(fma.f64 (*.f64 x (neg.f64 y)) z x)
✓	94.6%	(fma.f64 (*.f64 x z) (neg.f64 y) x)
▶	60.7%	(fma.f64 (sqrt.f64 z) (fabs.f64 (.f64 (.f64 (sqrt.f64 z) y) x)) x)
▶	71.6%	(.f64 x (fma.f64 (/.f64 (neg.f64 y) (fma.f64 z y #s(literal 1 binary64))) (.f64 (*.f64 z z) y) (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64))))
✓	54.5%	(.f64 x (fma.f64 (sqrt.f64 (.f64 (*.f64 y y) z)) (sqrt.f64 z) #s(literal 1 binary64)))
✓	47.3%	(.f64 x #s(approx (- 1 ( (sqrt (* z y)) (sqrt (* z y)))) (*.f64 (neg.f64 z) y)))
✓	52.5%	(.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64)))
▶	47.5%	#s(approx (* x (- 1 (* (sqrt (* z y)) (sqrt (* z y))))) (.f64 (neg.f64 z) (.f64 x y)))

Compiler

Compiled 118 to 85 computations (28% saved)

simplify153.0ms (2.4%)

Memory

-0.5MiB live, 136.9MiB allocated; 18ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 (*.f64 z y))
cost-diff	0	(neg.f64 x)
cost-diff	0	(.f64 (neg.f64 x) (sqrt.f64 (.f64 z y)))
cost-diff	6	(fma.f64 (.f64 (neg.f64 x) (sqrt.f64 (.f64 z y))) (sqrt.f64 (*.f64 z y)) x)
cost-diff	0	(.f64 (.f64 (sqrt.f64 z) y) x)
cost-diff	0	(fabs.f64 (.f64 (.f64 (sqrt.f64 z) y) x))
cost-diff	0	(sqrt.f64 z)
cost-diff	4	(fma.f64 (sqrt.f64 z) (fabs.f64 (.f64 (.f64 (sqrt.f64 z) y) x)) x)
cost-diff	0	(neg.f64 y)
cost-diff	0	(/.f64 (neg.f64 y) (fma.f64 z y #s(literal 1 binary64)))
cost-diff	0	(.f64 x (fma.f64 (/.f64 (neg.f64 y) (fma.f64 z y #s(literal 1 binary64))) (.f64 (*.f64 z z) y) (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64))))
cost-diff	6	(fma.f64 (/.f64 (neg.f64 y) (fma.f64 z y #s(literal 1 binary64))) (.f64 (.f64 z z) y) (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)))
cost-diff	0	(*.f64 x y)
cost-diff	0	(neg.f64 z)
cost-diff	0	(.f64 (neg.f64 z) (.f64 x y))
cost-diff	0	#s(approx (* x (- 1 (* (sqrt (* z y)) (sqrt (* z y))))) (.f64 (neg.f64 z) (.f64 x y)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	171
0	56	160
1	112	151
2	331	146
3	1293	146
4	3425	146
5	5147	146
6	6958	144
0	8464	143

Stop Event

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

Calls

Call 1

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

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

localize123.0ms (1.9%)

Memory

-13.1MiB live, 178.0MiB allocated; 27ms collecting garbage

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.0	(neg.f64 x)
accuracy	0.02734375	(fma.f64 (.f64 (neg.f64 x) (sqrt.f64 (.f64 z y))) (sqrt.f64 (*.f64 z y)) x)
accuracy	0.05078125	(.f64 (neg.f64 x) (sqrt.f64 (.f64 z y)))
accuracy	4.039899503783968	(sqrt.f64 (*.f64 z y))
accuracy	0.0	(fabs.f64 (.f64 (.f64 (sqrt.f64 z) y) x))
accuracy	0.02734375	(*.f64 (sqrt.f64 z) y)
accuracy	0.04296875	(fma.f64 (sqrt.f64 z) (fabs.f64 (.f64 (.f64 (sqrt.f64 z) y) x)) x)
accuracy	0.8427899126252356	(.f64 (.f64 (sqrt.f64 z) y) x)
accuracy	0.4874547803962367	(.f64 x (fma.f64 (/.f64 (neg.f64 y) (fma.f64 z y #s(literal 1 binary64))) (.f64 (*.f64 z z) y) (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64))))
accuracy	1.192969045420738	(.f64 (.f64 z z) y)
accuracy	1.6254230719816292	(/.f64 (neg.f64 y) (fma.f64 z y #s(literal 1 binary64)))
accuracy	3.7814648400180886	(fma.f64 (/.f64 (neg.f64 y) (fma.f64 z y #s(literal 1 binary64))) (.f64 (.f64 z z) y) (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)))
accuracy	0.0	(*.f64 x y)
accuracy	0.0	(neg.f64 z)
accuracy	0.6146881898798591	(.f64 (neg.f64 z) (.f64 x y))
accuracy	8.331806643661041	#s(approx (* x (- 1 (* (sqrt (* z y)) (sqrt (* z y))))) (.f64 (neg.f64 z) (.f64 x y)))

Samples

85.0ms	192×	0	invalid
18.0ms	64×	0	valid

Compiler

Compiled 177 to 34 computations (80.8% saved)

Precisions

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

ival-mult: 24.0ms (51.6% of total)

ival-pow: 6.0ms (12.9% of total)

ival-add: 5.0ms (10.7% of total)

ival-sqrt: 4.0ms (8.6% of total)

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

ival-div: 2.0ms (4.3% of total)

ival-fabs: 1.0ms (2.1% of total)

ival-sub: 1.0ms (2.1% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series53.0ms (0.8%)

Memory

17.5MiB live, 62.7MiB allocated; 12ms collecting garbage

Counts

18 → 63

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
23.0ms	y	@	-inf	((* x (- 1 (* (sqrt (* z y)) (sqrt (* z y))))) (* (neg z) (* x y)) (neg z) (* x y) (+ (* (/ (neg y) (+ (* z y) 1)) (* (* z z) y)) (pow (+ (* z y) 1) -1)) (* x (+ (* (/ (neg y) (+ (* z y) 1)) (* (* z z) y)) (pow (+ (* z y) 1) -1))) (/ (neg y) (+ (* z y) 1)) (neg y) (+ (* (sqrt z) (fabs (* (* (sqrt z) y) x))) x) (sqrt z) (fabs (* (* (sqrt z) y) x)) (* (* (sqrt z) y) x) (+ (* (* (neg x) (sqrt (* z y))) (sqrt (* z y))) x) (* (neg x) (sqrt (* z y))) (neg x) (sqrt (* z y)) (* (* z z) y) (* (sqrt z) y))
5.0ms	z	@	-inf	((* x (- 1 (* (sqrt (* z y)) (sqrt (* z y))))) (* (neg z) (* x y)) (neg z) (* x y) (+ (* (/ (neg y) (+ (* z y) 1)) (* (* z z) y)) (pow (+ (* z y) 1) -1)) (* x (+ (* (/ (neg y) (+ (* z y) 1)) (* (* z z) y)) (pow (+ (* z y) 1) -1))) (/ (neg y) (+ (* z y) 1)) (neg y) (+ (* (sqrt z) (fabs (* (* (sqrt z) y) x))) x) (sqrt z) (fabs (* (* (sqrt z) y) x)) (* (* (sqrt z) y) x) (+ (* (* (neg x) (sqrt (* z y))) (sqrt (* z y))) x) (* (neg x) (sqrt (* z y))) (neg x) (sqrt (* z y)) (* (* z z) y) (* (sqrt z) y))
4.0ms	x	@	-inf	((* x (- 1 (* (sqrt (* z y)) (sqrt (* z y))))) (* (neg z) (* x y)) (neg z) (* x y) (+ (* (/ (neg y) (+ (* z y) 1)) (* (* z z) y)) (pow (+ (* z y) 1) -1)) (* x (+ (* (/ (neg y) (+ (* z y) 1)) (* (* z z) y)) (pow (+ (* z y) 1) -1))) (/ (neg y) (+ (* z y) 1)) (neg y) (+ (* (sqrt z) (fabs (* (* (sqrt z) y) x))) x) (sqrt z) (fabs (* (* (sqrt z) y) x)) (* (* (sqrt z) y) x) (+ (* (* (neg x) (sqrt (* z y))) (sqrt (* z y))) x) (* (neg x) (sqrt (* z y))) (neg x) (sqrt (* z y)) (* (* z z) y) (* (sqrt z) y))
4.0ms	x	@	0	((* x (- 1 (* (sqrt (* z y)) (sqrt (* z y))))) (* (neg z) (* x y)) (neg z) (* x y) (+ (* (/ (neg y) (+ (* z y) 1)) (* (* z z) y)) (pow (+ (* z y) 1) -1)) (* x (+ (* (/ (neg y) (+ (* z y) 1)) (* (* z z) y)) (pow (+ (* z y) 1) -1))) (/ (neg y) (+ (* z y) 1)) (neg y) (+ (* (sqrt z) (fabs (* (* (sqrt z) y) x))) x) (sqrt z) (fabs (* (* (sqrt z) y) x)) (* (* (sqrt z) y) x) (+ (* (* (neg x) (sqrt (* z y))) (sqrt (* z y))) x) (* (neg x) (sqrt (* z y))) (neg x) (sqrt (* z y)) (* (* z z) y) (* (sqrt z) y))
3.0ms	y	@	inf	((* x (- 1 (* (sqrt (* z y)) (sqrt (* z y))))) (* (neg z) (* x y)) (neg z) (* x y) (+ (* (/ (neg y) (+ (* z y) 1)) (* (* z z) y)) (pow (+ (* z y) 1) -1)) (* x (+ (* (/ (neg y) (+ (* z y) 1)) (* (* z z) y)) (pow (+ (* z y) 1) -1))) (/ (neg y) (+ (* z y) 1)) (neg y) (+ (* (sqrt z) (fabs (* (* (sqrt z) y) x))) x) (sqrt z) (fabs (* (* (sqrt z) y) x)) (* (* (sqrt z) y) x) (+ (* (* (neg x) (sqrt (* z y))) (sqrt (* z y))) x) (* (neg x) (sqrt (* z y))) (neg x) (sqrt (* z y)) (* (* z z) y) (* (sqrt z) y))

simplify149.0ms (2.3%)

Memory

12.0MiB live, 236.1MiB allocated; 46ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	210	633
1	678	603
2	2109	573
3	5306	567
0	8143	557

Stop Event

1×	iter limit
1×	node limit

Counts

63 → 62

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

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

rewrite229.0ms (3.5%)

Memory

-16.3MiB live, 373.2MiB allocated; 59ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	141
0	56	129
1	189	116
2	1249	95
0	8876	94

Stop Event

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

Counts

18 → 575

Calls

Call 1

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

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

eval130.0ms (2%)

Memory: 1.7MiB live, 188.1MiB allocated; 30ms collecting garbage
Compiler: Compiled 17 235 to 2 073 computations (88% saved)

prune34.0ms (0.5%)

Memory

-1.1MiB live, 45.2MiB allocated; 5ms collecting garbage

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	628	3	631
Fresh	0	0	0
Picked	2	2	4
Done	1	4	5
Total	631	9	640

Accuracy

100.0%

Counts

640 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	56.6%	(fma.f64 (.f64 (neg.f64 x) (sqrt.f64 (.f64 z y))) (sqrt.f64 (*.f64 z y)) x)
✓	95.0%	(fma.f64 (*.f64 x (neg.f64 y)) z x)
✓	94.6%	(fma.f64 (*.f64 x z) (neg.f64 y) x)
	60.8%	(fma.f64 (sqrt.f64 z) (fabs.f64 #s(approx (* (* (sqrt z) y) x) (.f64 (.f64 (sqrt.f64 z) x) y))) x)
✓	47.3%	(.f64 x #s(approx (- 1 ( (sqrt (* z y)) (sqrt (* z y)))) (*.f64 (neg.f64 z) y)))
✓	52.5%	(.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64)))
	74.2%	#s(approx (+ (* (sqrt z) (fabs (* (* (sqrt z) y) x))) x) (.f64 (fma.f64 (fabs.f64 (.f64 y x)) (/.f64 z x) #s(literal 1 binary64)) x))
	45.8%	#s(approx (* x (- 1 (* (sqrt (* z y)) (sqrt (* z y))))) (.f64 (.f64 (neg.f64 z) x) y))
✓	47.5%	#s(approx (* x (- 1 (* (sqrt (* z y)) (sqrt (* z y))))) (.f64 (neg.f64 z) (.f64 x y)))

Compiler

Compiled 507 to 203 computations (60% saved)

regimes37.0ms (0.6%)

Memory

-4.3MiB live, 51.2MiB allocated; 11ms collecting garbage

Counts

19 → 1

Calls

Call 1

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

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

Calls

6 calls:

10.0ms	(-.f64 #s(literal 1 binary64) (*.f64 y z))
5.0ms	x
5.0ms	(*.f64 y z)
5.0ms	z
5.0ms	y

Results

Accuracy	Segments	Branch
97.3%	1	`(*.f64 y z)`
97.3%	1	`(-.f64 #s(literal 1 binary64) (*.f64 y z))`
97.3%	1	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))`
97.3%	1	`x`
97.3%	1	`y`
97.3%	1	`z`

Compiler

Compiled 18 to 26 computations (-44.4% saved)

regimes12.0ms (0.2%)

Memory

25.8MiB live, 25.8MiB allocated; 0ms collecting garbage

Counts

5 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
96.3%	3	`(-.f64 #s(literal 1 binary64) (*.f64 y z))`
83.4%	3	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))`
61.1%	4	`x`
96.3%	3	`(*.f64 y z)`
76.9%	3	`y`
79.0%	3	`z`

Compiler

Compiled 18 to 26 computations (-44.4% saved)

regimes3.0ms (0.1%)

Memory

7.5MiB live, 7.5MiB allocated; 0ms collecting garbage

Counts

3 → 3

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
96.2%	3	`(*.f64 y z)`
96.2%	3	`(-.f64 #s(literal 1 binary64) (*.f64 y z))`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes10.0ms (0.2%)

Memory

-27.8MiB live, 17.3MiB allocated; 6ms collecting garbage

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:

4.0ms	(*.f64 y z)
1.0ms	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))
1.0ms	x
1.0ms	z
1.0ms	y

Results

Accuracy	Segments	Branch
52.5%	1	`x`
52.5%	1	`y`
52.5%	1	`z`
52.5%	1	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))`
52.5%	1	`(*.f64 y z)`
52.5%	1	`(-.f64 #s(literal 1 binary64) (*.f64 y z))`

Compiler

Compiled 18 to 26 computations (-44.4% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0032772769654943732	1621.6594473583493
0.0ms	-295302086856341570.0	-0.0006556490779866333

Compiler

Compiled 10 to 13 computations (-30% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0006556490779865	295302086856341570.0
0.0ms	-1620.6594473583493	0.9967227230345056

Compiler

Compiled 10 to 13 computations (-30% saved)

simplify98.0ms (1.5%)

Memory

2.8MiB live, 46.8MiB allocated; 10ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	103
1	66	103
2	107	103
3	173	103
4	316	103
5	564	103
6	711	103
7	856	103
8	1063	103
9	1512	103
10	2665	103
11	4120	103
12	5571	103
13	6360	103
14	6639	103
15	6832	103
16	7113	103
17	7586	103

Stop Event

1×	node limit

Calls

Call 1

Inputs
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))
(if (<=.f64 (.f64 y z) #s(literal -200000000000000000 binary64)) (.f64 x #s(approx (- 1 (* y z)) (.f64 (neg.f64 y) z))) (if (<=.f64 (.f64 y z) #s(literal 5764607523034235/1152921504606846976 binary64)) (.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64))) #s(approx (* x (- 1 (* (sqrt (* z y)) (sqrt (* z y))))) (.f64 (neg.f64 z) (.f64 x y)))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) #s(literal -1000 binary64)) #s(approx ( x (- 1 (* (sqrt (* z y)) (sqrt (* z y))))) (.f64 (neg.f64 z) (.f64 x y))) (if (<=.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) #s(literal 2 binary64)) (.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) #s(approx (* x (- 1 (* (sqrt (* z y)) (sqrt (* z y))))) (.f64 (neg.f64 z) (.f64 x y)))))
(.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64)))

Outputs
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))
(if (<=.f64 (.f64 y z) #s(literal -200000000000000000 binary64)) (.f64 x #s(approx (- 1 (* y z)) (.f64 (neg.f64 y) z))) (if (<=.f64 (.f64 y z) #s(literal 5764607523034235/1152921504606846976 binary64)) (.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64))) #s(approx (* x (- 1 (* (sqrt (* z y)) (sqrt (* z y))))) (.f64 (neg.f64 z) (.f64 x y)))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) #s(literal -1000 binary64)) #s(approx ( x (- 1 (* (sqrt (* z y)) (sqrt (* z y))))) (.f64 (neg.f64 z) (.f64 x y))) (if (<=.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) #s(literal 2 binary64)) (.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) #s(approx (* x (- 1 (* (sqrt (* z y)) (sqrt (* z y))))) (.f64 (neg.f64 z) (.f64 x y)))))
(if (or (<=.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) #s(literal -1000 binary64)) (not (<=.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) #s(literal 2 binary64)))) #s(approx (* x (- 1 (* (sqrt (* z y)) (sqrt (* z y))))) (.f64 (neg.f64 z) (.f64 x y))) (.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64))))
(.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64)))

derivations655.0ms (10.1%)

Memory

27.8MiB live, 693.9MiB allocated; 130ms collecting garbage

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
0	43	82
1	144	82
2	379	82
3	1023	82
4	2458	82
5	5906	82
6	7796	82
0	8434	82
0	272	883
1	1000	712
2	4079	712
0	8658	682
0	404	1403
1	1426	1211
2	5381	1203
0	8291	1152

Stop Event

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

Compiler

Compiled 115 to 38 computations (67% saved)

preprocess39.0ms (0.6%)

Memory

-7.2MiB live, 85.1MiB allocated; 9ms collecting garbage

Remove

(sort y z)

(negabs x)

Compiler

Compiled 300 to 146 computations (51.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

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

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

start0.0ms (0%)

analyze1.0ms (0%)

sample939.0ms (14.5%)

explain105.0ms (1.6%)

preprocess45.0ms (0.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify12.0ms (0.2%)

localize17.0ms (0.3%)

series6.0ms (0.1%)

simplify179.0ms (2.8%)

rewrite325.0ms (5%)

eval83.0ms (1.3%)

prune12.0ms (0.2%)

simplify176.0ms (2.7%)

localize182.0ms (2.8%)

series51.0ms (0.8%)

simplify158.0ms (2.4%)

rewrite270.0ms (4.2%)

eval335.0ms (5.2%)

prune41.0ms (0.6%)

simplify198.0ms (3%)

localize266.0ms (4.1%)

series104.0ms (1.6%)

simplify178.0ms (2.7%)

rewrite438.0ms (6.7%)

eval352.0ms (5.4%)

prune287.0ms (4.4%)

simplify153.0ms (2.4%)

localize123.0ms (1.9%)

series53.0ms (0.8%)

simplify149.0ms (2.3%)

rewrite229.0ms (3.5%)

eval130.0ms (2%)

prune34.0ms (0.5%)

regimes37.0ms (0.6%)

regimes12.0ms (0.2%)

regimes3.0ms (0.1%)

regimes10.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify98.0ms (1.5%)

derivations655.0ms (10.1%)

preprocess39.0ms (0.6%)

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