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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 9 to 9 computations (0% saved)

sample920.0ms (13.4%)

Memory

7.0MiB live, 930.0MiB allocated

Samples

681.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 287.0ms

ival-mult: 232.0ms (81% of total)

ival-sub: 40.0ms (14% of total)

ival-true: 6.0ms (2.1% of total)

exact: 5.0ms (1.7% of total)

ival-assert: 4.0ms (1.4% of total)

Bogosity

explain126.0ms (1.8%)

Memory

11.6MiB live, 89.3MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`*.f64`	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))`	*no**	13	0

Confusion

	Predicted +	Predicted -
+	13	0
-	0	243

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	243
1	13

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

24.0ms

512×

valid

Compiler

Compiled 68 to 32 computations (52.9% saved)

Precisions

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

ival-mult: 7.0ms (68.7% of total)

ival-sub: 2.0ms (19.6% of total)

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

exact: 0.0ms (0% of total)

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

preprocess86.0ms (1.3%)

Memory

-12.8MiB live, 27.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	70
1	90	65
2	186	63
3	504	63
4	831	63
5	1056	63
6	1065	63
0	7	7
0	10	7
1	19	7
2	36	7
3	74	7
4	194	7
5	251	7
6	303	7
7	401	7
8	461	7
9	549	7
10	563	7
0	563	7

Stop Event

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

Calls

Call 1

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

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

Symmetry

(negabs x)

(sort y z)

Compiler

Compiled 7 to 7 computations (0% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 7 computations (0% saved)

simplify17.0ms (0.2%)

Memory

16.9MiB live, 16.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
0	10	19
1	19	19
2	36	19
3	74	19
4	194	19
5	251	19
6	303	19
7	401	19
8	461	19
9	549	19
10	563	19
0	563	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

localize60.0ms (0.9%)

Memory

-12.8MiB live, 21.8MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 #s(literal 1 binary64) (*.f64 y z))
accuracy	0.0	(*.f64 y z)
accuracy	3.1298165698272586	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))

Samples

56.0ms

256×

valid

Compiler

Compiled 40 to 16 computations (60% saved)

Precisions

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

ival-mult: 3.0ms (60% of total)

ival-sub: 1.0ms (20% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

8.5MiB live, 8.5MiB allocated

Counts

3 → 16

Calls

Call 1

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

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

Calls

9 calls:

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

simplify191.0ms (2.8%)

Memory

2.3MiB live, 77.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	82
1	136	82
2	293	82
3	486	82
4	1970	82
5	4976	82
6	6485	82
7	7226	82
8	7431	82
9	7537	82
10	7617	82
0	8110	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 (-.f64 #s(literal 1 binary64) (.f64 z y)) x)
x
(+ x (* -1 (* x (* y z))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 z y)) x)
1
#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 (-.f64 #s(literal 1 binary64) (.f64 z y)) x)
(* -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 (-.f64 #s(literal 1 binary64) (.f64 z y)) x)
(* y (+ (* -1 z) (/ 1 y)))
(-.f64 #s(literal 1 binary64) (*.f64 z y))
(* z (+ (* -1 (* x y)) (/ x z)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 z y)) x)
(* z (- (/ 1 z) y))
(-.f64 #s(literal 1 binary64) (*.f64 z y))
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 z y)) x)
(* z (+ (* -1 y) (/ 1 z)))
(-.f64 #s(literal 1 binary64) (*.f64 z y))

rewrite498.0ms (7.3%)

Memory

18.5MiB live, 296.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
0	10	15
1	32	15
2	192	15
3	1532	15
0	9726	13

Stop Event

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

Counts

3 → 618

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 (-.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 #s(literal 1 binary64) (pow.f64 (fma.f64 z y (pow.f64 (.f64 z y) #s(literal 2 binary64))) #s(literal 3 binary64)))) (fma.f64 (fma.f64 z y (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)) #s(literal 1 binary64)))
(.f64 (.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) x) (pow.f64 (fma.f64 z y #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64))) x) (/.f64 #s(literal -1 binary64) (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)))) (pow.f64 (fma.f64 z y #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 x (-.f64 #s(literal -1 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) (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 x (neg.f64 z)) y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 z (.f64 y x)))))
(.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 (pow.f64 (.f64 (.f64 x (neg.f64 z)) y) #s(literal 2 binary64)) (.f64 x (.f64 (.f64 x (neg.f64 z)) y))))))
(.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) x)) (pow.f64 (fma.f64 z y #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64))) x)) (/.f64 #s(literal -1 binary64) (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) (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64))) x) (pow.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (.f64 z y) #s(literal 1 binary64)) #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 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64))) (*.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) x))
(.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 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64))) (.f64 (pow.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (.f64 z y) #s(literal 1 binary64)) #s(literal -1 binary64)) x))
(.f64 #s(literal 1 binary64) (.f64 (fma.f64 z y #s(literal 1 binary64)) x))
(*.f64 x (fma.f64 z y #s(literal 1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z y #s(literal 1 binary64)) x)) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 x (neg.f64 z)) y) #s(literal 2 binary64)) (.f64 x x)) (-.f64 (.f64 (*.f64 x (neg.f64 z)) y) x))
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (.f64 (.f64 z y) x) #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 x (neg.f64 z)) y) 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 (-.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)))
(/.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 (-.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 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (.f64 x (neg.f64 z)) y) #s(literal 2 binary64)))) (neg.f64 (+.f64 x (.f64 z (*.f64 y x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 x (neg.f64 z)) y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (.f64 (.f64 x (neg.f64 z)) y) #s(literal 2 binary64)) (.f64 x (.f64 (*.f64 x (neg.f64 z)) y))))))
(/.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))) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)))
(/.f64 (neg.f64 x) (neg.f64 (pow.f64 (fma.f64 z y #s(literal 1 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 2 binary64)))) (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #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) (-.f64 #s(literal -1 binary64) (fma.f64 z y (pow.f64 (*.f64 z y) #s(literal 2 binary64)))))
(/.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 (.f64 x (-.f64 #s(literal -1 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64)))) (-.f64 #s(literal -1 binary64) (fma.f64 z y (pow.f64 (*.f64 z y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (.f64 x (neg.f64 z)) y) #s(literal 2 binary64))) (+.f64 x (.f64 z (*.f64 y x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (.f64 (.f64 x (neg.f64 z)) y) #s(literal 2 binary64)) (.f64 x (.f64 (*.f64 x (neg.f64 z)) y)))))
(/.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 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64))) x)) (-.f64 #s(literal -1 binary64) (fma.f64 z y (pow.f64 (*.f64 z y) #s(literal 2 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)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z y #s(literal 1 binary64)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z y #s(literal -1 binary64)) (.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (fma.f64 z y (pow.f64 (.f64 z y) #s(literal 2 binary64)))) (.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z y #s(literal -1 binary64)) (.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (fma.f64 z y (pow.f64 (.f64 z y) #s(literal 2 binary64)))) (.f64 x (-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (.f64 z (.f64 y x))) (-.f64 (.f64 x x) (pow.f64 (.f64 (*.f64 x (neg.f64 z)) y) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (pow.f64 (.f64 (.f64 x (neg.f64 z)) y) #s(literal 2 binary64)) (.f64 x (.f64 (.f64 x (neg.f64 z)) y)))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z y #s(literal 1 binary64)) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z y #s(literal 1 binary64)) x)))
(/.f64 x (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 (*.f64 x (neg.f64 z)) y x)
(fma.f64 (.f64 x #s(literal -1 binary64)) (.f64 z y) x)
(fma.f64 (*.f64 x (neg.f64 y)) z x)
(fma.f64 (*.f64 x z) (neg.f64 y) x)
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(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 y)))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 z)))
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(neg.f64 (*.f64 (neg.f64 z) y))
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eval231.0ms (3.4%)

Memory: -16.5MiB live, 110.1MiB allocated
Compiler: Compiled 20 415 to 1 665 computations (91.8% saved)

prune60.0ms (0.9%)

Memory

-0.7MiB live, 36.6MiB allocated

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	618	6	624
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	618	7	625

Accuracy

100.0%

Counts

625 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.2%	(fma.f64 (*.f64 x (neg.f64 z)) y x)
▶	95.0%	(fma.f64 (*.f64 x (neg.f64 y)) z x)
	64.6%	(.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64))) x)) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (.f64 z y) #s(literal 1 binary64))))
✓	95.1%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))
▶	72.2%	(.f64 x (+.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (neg.f64 (.f64 (.f64 y y) z)) (/.f64 z (fma.f64 z y #s(literal 1 binary64))))))
▶	49.0%	(.f64 x #s(approx (- 1 ( y z)) (*.f64 (neg.f64 y) z)))
▶	48.2%	(.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64)))

Compiler

Compiled 165 to 127 computations (23% saved)

simplify159.0ms (2.3%)

Memory

-13.1MiB live, 70.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 z y #s(literal 1 binary64))
cost-diff	0	(pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64))
cost-diff	0	(.f64 x (+.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (neg.f64 (.f64 (.f64 y y) z)) (/.f64 z (fma.f64 z y #s(literal 1 binary64))))))
cost-diff	6976	(+.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (neg.f64 (.f64 (*.f64 y y) z)) (/.f64 z (fma.f64 z y #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)
cost-diff	0	(neg.f64 y)
cost-diff	0	(*.f64 (neg.f64 y) z)
cost-diff	0	#s(approx (- 1 (* y z)) (*.f64 (neg.f64 y) z))
cost-diff	0	(.f64 x #s(approx (- 1 ( y z)) (*.f64 (neg.f64 y) z)))
cost-diff	0	#s(approx (- 1 (* y z)) #s(literal 1 binary64))
cost-diff	0	(.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64)))
cost-diff	0	(neg.f64 z)
cost-diff	0	(*.f64 x (neg.f64 z))
cost-diff	0	(fma.f64 (*.f64 x (neg.f64 z)) y x)

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	27	171
0	48	171
1	97	169
2	211	169
3	561	165
4	1525	164
5	2226	161
6	3742	159
7	4955	159
8	6117	159
9	6951	159
10	7360	159
11	7882	159
0	8020	159

Stop Event

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

Calls

Call 1

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

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

localize70.0ms (1%)

Memory

27.4MiB live, 65.4MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	3.1298165698272586	(.f64 x (+.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (neg.f64 (.f64 (.f64 y y) z)) (/.f64 z (fma.f64 z y #s(literal 1 binary64))))))
accuracy	6.257586872067221	(.f64 (.f64 y y) z)
accuracy	7.763594246493303	(/.f64 z (fma.f64 z y #s(literal 1 binary64)))
accuracy	8.52359384587625	(.f64 (neg.f64 (.f64 (*.f64 y y) z)) (/.f64 z (fma.f64 z y #s(literal 1 binary64))))
accuracy	0.0	(*.f64 x (neg.f64 y))
accuracy	0.0	(neg.f64 y)
accuracy	3.168626579688002	(fma.f64 (*.f64 x (neg.f64 y)) z x)
accuracy	0.0	(*.f64 (neg.f64 y) z)
accuracy	0.0	(neg.f64 y)
accuracy	3.1298165698272586	(.f64 x #s(approx (- 1 ( y z)) (*.f64 (neg.f64 y) z)))
accuracy	29.731066760730485	#s(approx (- 1 (* y z)) (*.f64 (neg.f64 y) z))
accuracy	3.1298165698272586	(.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64)))
accuracy	33.21798890664756	#s(approx (- 1 (* y z)) #s(literal 1 binary64))
accuracy	0.0	(*.f64 x (neg.f64 z))
accuracy	0.0	(neg.f64 z)
accuracy	1.7900566909607558	(fma.f64 (*.f64 x (neg.f64 z)) y x)

Samples

52.0ms

256×

valid

Compiler

Compiled 340 to 57 computations (83.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-mult: 17.0ms (54.3% of total)

ival-add: 4.0ms (12.8% of total)

ival-neg: 3.0ms (9.6% of total)

ival-pow: 3.0ms (9.6% of total)

ival-div: 2.0ms (6.4% of total)

ival-sub: 1.0ms (3.2% of total)

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

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

exact: 0.0ms (0% of total)

series76.0ms (1.1%)

Memory

0.4MiB live, 37.5MiB allocated

Counts

18 → 82

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
44.0ms	x	@	0	((+ (* (* x (neg z)) y) x) (* x (neg z)) (neg z) (* x (- 1 (* y z))) (- 1 (* y z)) (* x (- 1 (* y z))) (- 1 (* y z)) (* (neg y) z) (neg y) (+ (* (* x (neg y)) z) x) (* x (neg y)) (+ (pow (+ (* z y) 1) -1) (* (neg (* (* y y) z)) (/ z (+ (* z y) 1)))) (* x (+ (pow (+ (* z y) 1) -1) (* (neg (* (* y y) z)) (/ z (+ (* z y) 1))))) (pow (+ (* z y) 1) -1) (+ (* z y) 1) (* (neg (* (* y y) z)) (/ z (+ (* z y) 1))) (/ z (+ (* z y) 1)) (* (* y y) z))
7.0ms	y	@	inf	((+ (* (* x (neg z)) y) x) (* x (neg z)) (neg z) (* x (- 1 (* y z))) (- 1 (* y z)) (* x (- 1 (* y z))) (- 1 (* y z)) (* (neg y) z) (neg y) (+ (* (* x (neg y)) z) x) (* x (neg y)) (+ (pow (+ (* z y) 1) -1) (* (neg (* (* y y) z)) (/ z (+ (* z y) 1)))) (* x (+ (pow (+ (* z y) 1) -1) (* (neg (* (* y y) z)) (/ z (+ (* z y) 1))))) (pow (+ (* z y) 1) -1) (+ (* z y) 1) (* (neg (* (* y y) z)) (/ z (+ (* z y) 1))) (/ z (+ (* z y) 1)) (* (* y y) z))
4.0ms	z	@	inf	((+ (* (* x (neg z)) y) x) (* x (neg z)) (neg z) (* x (- 1 (* y z))) (- 1 (* y z)) (* x (- 1 (* y z))) (- 1 (* y z)) (* (neg y) z) (neg y) (+ (* (* x (neg y)) z) x) (* x (neg y)) (+ (pow (+ (* z y) 1) -1) (* (neg (* (* y y) z)) (/ z (+ (* z y) 1)))) (* x (+ (pow (+ (* z y) 1) -1) (* (neg (* (* y y) z)) (/ z (+ (* z y) 1))))) (pow (+ (* z y) 1) -1) (+ (* z y) 1) (* (neg (* (* y y) z)) (/ z (+ (* z y) 1))) (/ z (+ (* z y) 1)) (* (* y y) z))
4.0ms	z	@	-inf	((+ (* (* x (neg z)) y) x) (* x (neg z)) (neg z) (* x (- 1 (* y z))) (- 1 (* y z)) (* x (- 1 (* y z))) (- 1 (* y z)) (* (neg y) z) (neg y) (+ (* (* x (neg y)) z) x) (* x (neg y)) (+ (pow (+ (* z y) 1) -1) (* (neg (* (* y y) z)) (/ z (+ (* z y) 1)))) (* x (+ (pow (+ (* z y) 1) -1) (* (neg (* (* y y) z)) (/ z (+ (* z y) 1))))) (pow (+ (* z y) 1) -1) (+ (* z y) 1) (* (neg (* (* y y) z)) (/ z (+ (* z y) 1))) (/ z (+ (* z y) 1)) (* (* y y) z))
3.0ms	y	@	0	((+ (* (* x (neg z)) y) x) (* x (neg z)) (neg z) (* x (- 1 (* y z))) (- 1 (* y z)) (* x (- 1 (* y z))) (- 1 (* y z)) (* (neg y) z) (neg y) (+ (* (* x (neg y)) z) x) (* x (neg y)) (+ (pow (+ (* z y) 1) -1) (* (neg (* (* y y) z)) (/ z (+ (* z y) 1)))) (* x (+ (pow (+ (* z y) 1) -1) (* (neg (* (* y y) z)) (/ z (+ (* z y) 1))))) (pow (+ (* z y) 1) -1) (+ (* z y) 1) (* (neg (* (* y y) z)) (/ z (+ (* z y) 1))) (/ z (+ (* z y) 1)) (* (* y y) z))

simplify156.0ms (2.3%)

Memory

-12.6MiB live, 140.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	288	1109
1	926	1037
2	2447	965
3	6978	963
0	8689	937

Stop Event

1×	iter limit
1×	node limit

Counts

82 → 80

Calls

Call 1

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

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

rewrite388.0ms (5.7%)

Memory

9.1MiB live, 258.2MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	144
0	48	129
1	173	112
2	1133	112
0	8810	112

Stop Event

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

Counts

18 → 1 015

Calls

Call 1

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

Outputs
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y z) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 y z #s(literal -1 binary64)) x))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y z) #s(literal 2 binary64))) (+.f64 (pow.f64 (.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 (*.f64 y z) (fma.f64 y z #s(literal -1 binary64)) #s(literal 1 binary64)) x))
(.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y z) #s(literal 4 binary64))) (pow.f64 (fma.f64 y z #s(literal 1 binary64)) #s(literal 2 binary64))) x) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 y z) #s(literal 2 binary64))) (fma.f64 y z #s(literal 1 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 (neg.f64 (pow.f64 (.f64 y z) #s(literal 6 binary64))) (pow.f64 (fma.f64 y z #s(literal 1 binary64)) #s(literal -3 binary64)) (pow.f64 (fma.f64 y z #s(literal 1 binary64)) #s(literal -3 binary64))) x) (pow.f64 (+.f64 (/.f64 (-.f64 (pow.f64 (.f64 y z) #s(literal 4 binary64)) (neg.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)))) (pow.f64 (fma.f64 y z #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (fma.f64 y z #s(literal 1 binary64)) #s(literal -2 binary64))) #s(literal -1 binary64)))
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(fma.f64 (/.f64 z (+.f64 (pow.f64 (.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (neg.f64 y) z #s(literal 1 binary64)) (.f64 (/.f64 z (+.f64 (pow.f64 (.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (.f64 y z) #s(literal 2 binary64))))
(fma.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64)) (/.f64 z (+.f64 (pow.f64 (.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 (neg.f64 y) z #s(literal 1 binary64)) (/.f64 z (+.f64 (pow.f64 (.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64)))))
(fma.f64 (fma.f64 (neg.f64 y) z #s(literal 1 binary64)) (/.f64 z (+.f64 (pow.f64 (.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64))) (.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64)) (/.f64 z (+.f64 (pow.f64 (.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64)))))
(fma.f64 (.f64 y z) (/.f64 z (-.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64))) (.f64 #s(literal -1 binary64) (/.f64 z (-.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(-.f64 #s(literal 0 binary64) (/.f64 z (fma.f64 (neg.f64 y) z #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 y z #s(literal 1 binary64)) z)) #s(literal -1 binary64)))
(+.f64 (.f64 (.f64 y z) (/.f64 z (-.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 z (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(+.f64 (.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64)) (/.f64 z (+.f64 (pow.f64 (.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64)))) (.f64 (fma.f64 (neg.f64 y) z #s(literal 1 binary64)) (/.f64 z (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64)))))
(+.f64 (.f64 (fma.f64 (neg.f64 y) z #s(literal 1 binary64)) (/.f64 z (+.f64 (pow.f64 (.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64)))) (.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64)) (/.f64 z (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64)))))
(+.f64 (.f64 (/.f64 z (-.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64))) (.f64 y z)) (.f64 (/.f64 z (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)))
(+.f64 (.f64 (/.f64 z (+.f64 (pow.f64 (.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (.f64 y z) #s(literal 2 binary64))) (.f64 (/.f64 z (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (neg.f64 y) z #s(literal 1 binary64))))
(+.f64 (.f64 (/.f64 z (+.f64 (pow.f64 (.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (neg.f64 y) z #s(literal 1 binary64))) (.f64 (/.f64 z (+.f64 (pow.f64 (.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (*.f64 y z) #s(literal 2 binary64))))
(+.f64 #s(literal 0 binary64) (/.f64 z (fma.f64 y z #s(literal 1 binary64))))
(.f64 (neg.f64 (neg.f64 y)) (.f64 y z))
(.f64 (neg.f64 (.f64 (neg.f64 y) y)) z)
(.f64 (.f64 (neg.f64 y) y) (neg.f64 z))
(.f64 (.f64 (*.f64 (neg.f64 y) z) y) #s(literal -1 binary64))
(.f64 (.f64 (*.f64 y y) z) #s(literal 1 binary64))
(.f64 (.f64 y y) z)
(.f64 #s(literal -1 binary64) (.f64 (*.f64 (neg.f64 y) z) y))
(.f64 (neg.f64 y) (.f64 (neg.f64 y) z))
(.f64 (.f64 y z) y)
(.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) z))
(.f64 y (neg.f64 (.f64 (neg.f64 y) z)))
(.f64 y (.f64 y z))
(.f64 (neg.f64 z) (.f64 (neg.f64 y) y))
(.f64 z (.f64 (*.f64 y y) #s(literal 1 binary64)))
(.f64 z (neg.f64 (.f64 (neg.f64 y) y)))
(.f64 z (.f64 y y))
(/.f64 (neg.f64 (pow.f64 (.f64 (.f64 (neg.f64 y) z) y) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 y y) z) #s(literal 2 binary64)) #s(literal 0 binary64)))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 (.f64 y y) z) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (.f64 (.f64 y y) z) #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (.f64 (.f64 y y) z) #s(literal 2 binary64)))) (.f64 (.f64 y y) z))
(/.f64 (neg.f64 (pow.f64 (.f64 (.f64 y y) z) #s(literal 2 binary64))) (.f64 (.f64 (neg.f64 y) z) y))
(/.f64 (pow.f64 (.f64 (.f64 (neg.f64 y) z) y) #s(literal 3 binary64)) (neg.f64 (+.f64 (pow.f64 (.f64 (.f64 y y) z) #s(literal 2 binary64)) #s(literal 0 binary64))))
(neg.f64 (.f64 (.f64 (neg.f64 y) z) y))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 (neg.f64 y) z) y))
(+.f64 #s(literal 0 binary64) (.f64 (.f64 y y) z))

eval115.0ms (1.7%)

Memory: 1.2MiB live, 268.7MiB allocated
Compiler: Compiled 23 307 to 2 911 computations (87.5% saved)

prune112.0ms (1.6%)

Memory

-15.6MiB live, 70.0MiB allocated

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	833	2	835
Fresh	1	0	1
Picked	1	4	5
Done	0	1	1
Total	835	7	842

Accuracy

100.0%

Counts

842 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	84.4%	(fma.f64 (.f64 x (/.f64 (.f64 (neg.f64 z) z) z)) y x)
✓	97.2%	(fma.f64 (*.f64 x (neg.f64 z)) y x)
✓	95.0%	(fma.f64 (*.f64 x (neg.f64 y)) z x)
▶	95.1%	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) z #s(literal 1 binary64))))
✓	95.1%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))
✓	49.0%	(.f64 x #s(approx (- 1 ( y z)) (*.f64 (neg.f64 y) z)))
✓	48.2%	(.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64)))

Compiler

Compiled 62 to 54 computations (12.9% saved)

simplify316.0ms (4.6%)

Memory

10.3MiB live, 165.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (neg.f64 z) z)
cost-diff	0	(.f64 x (/.f64 (.f64 (neg.f64 z) z) z))
cost-diff	0	(fma.f64 (.f64 x (/.f64 (.f64 (neg.f64 z) z) z)) y x)
cost-diff	1024	(/.f64 (*.f64 (neg.f64 z) z) z)
cost-diff	0	(neg.f64 y)
cost-diff	0	(fma.f64 (neg.f64 y) z #s(literal 1 binary64))
cost-diff	128	(/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) z #s(literal 1 binary64)))
cost-diff	960	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) z #s(literal 1 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	61
0	24	55
1	49	49
2	112	47
3	299	47
4	798	47
5	2038	47
6	3016	47
7	5878	47
0	8157	46

Stop Event

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

Calls

Call 1

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

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

localize57.0ms (0.8%)

Memory

23.5MiB live, 61.8MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.0	(.f64 x (/.f64 (.f64 (neg.f64 z) z) z))
accuracy	0.0	(neg.f64 z)
accuracy	1.7900566909607558	(fma.f64 (.f64 x (/.f64 (.f64 (neg.f64 z) z) z)) y x)
accuracy	29.147354376170313	(/.f64 (*.f64 (neg.f64 z) z) z)
accuracy	0.0	(fma.f64 (neg.f64 y) z #s(literal 1 binary64))
accuracy	0.0	(neg.f64 y)
accuracy	0.6575477096294384	(/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) z #s(literal 1 binary64)))
accuracy	2.4435784883313754	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) z #s(literal 1 binary64))))

Samples

25.0ms

256×

valid

Compiler

Compiled 128 to 30 computations (76.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-mult: 6.0ms (38.7% of total)

ival-div: 4.0ms (25.8% of total)

ival-add: 2.0ms (12.9% of total)

ival-neg: 2.0ms (12.9% of total)

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

exact: 0.0ms (0% of total)

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

series31.0ms (0.5%)

Memory

-18.4MiB live, 20.7MiB allocated

Counts

9 → 36

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
21.0ms	x	@	inf	((/ x (/ 1 (+ (* (neg y) z) 1))) (/ 1 (+ (* (neg y) z) 1)) (+ (* (neg y) z) 1) (neg y) (/ (* (neg z) z) z) (+ (* (* x (/ (* (neg z) z) z)) y) x) (* x (/ (* (neg z) z) z)) (* (neg z) z) (neg z))
2.0ms	z	@	inf	((/ x (/ 1 (+ (* (neg y) z) 1))) (/ 1 (+ (* (neg y) z) 1)) (+ (* (neg y) z) 1) (neg y) (/ (* (neg z) z) z) (+ (* (* x (/ (* (neg z) z) z)) y) x) (* x (/ (* (neg z) z) z)) (* (neg z) z) (neg z))
1.0ms	z	@	0	((/ x (/ 1 (+ (* (neg y) z) 1))) (/ 1 (+ (* (neg y) z) 1)) (+ (* (neg y) z) 1) (neg y) (/ (* (neg z) z) z) (+ (* (* x (/ (* (neg z) z) z)) y) x) (* x (/ (* (neg z) z) z)) (* (neg z) z) (neg z))
1.0ms	x	@	0	((/ x (/ 1 (+ (* (neg y) z) 1))) (/ 1 (+ (* (neg y) z) 1)) (+ (* (neg y) z) 1) (neg y) (/ (* (neg z) z) z) (+ (* (* x (/ (* (neg z) z) z)) y) x) (* x (/ (* (neg z) z) z)) (* (neg z) z) (neg z))
1.0ms	z	@	-inf	((/ x (/ 1 (+ (* (neg y) z) 1))) (/ 1 (+ (* (neg y) z) 1)) (+ (* (neg y) z) 1) (neg y) (/ (* (neg z) z) z) (+ (* (* x (/ (* (neg z) z) z)) y) x) (* x (/ (* (neg z) z) z)) (* (neg z) z) (neg z))

simplify154.0ms (2.2%)

Memory

-7.5MiB live, 213.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	146	426
1	416	400
2	1001	390
3	3591	390
0	8174	379

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 35

Calls

Call 1

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

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

rewrite345.0ms (5%)

Memory

-23.8MiB live, 210.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	54
0	24	48
1	94	42
2	592	40
3	6435	40
0	8024	39

Stop Event

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

Counts

9 → 806

Calls

Call 1

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

Outputs
(.f64 (/.f64 (.f64 x (-.f64 (.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) x) x)) (-.f64 (pow.f64 (.f64 (.f64 (neg.f64 z) y) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (.f64 (fma.f64 z (neg.f64 y) #s(literal 1 binary64)) x) (pow.f64 (.f64 (*.f64 (neg.f64 z) y) x) #s(literal 2 binary64))))
(.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (neg.f64 z) y) x) #s(literal 3 binary64))) (-.f64 (pow.f64 (.f64 (.f64 (neg.f64 z) y) x) #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 x (fma.f64 z y #s(literal 1 binary64))) x) #s(literal 2 binary64)))) (.f64 x (-.f64 (.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) x) (*.f64 x (fma.f64 z y #s(literal 1 binary64))))))
(.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (neg.f64 z) y) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 x (fma.f64 z y #s(literal 1 binary64))) x) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (neg.f64 z) y) x) #s(literal 6 binary64)))) (fma.f64 (.f64 (.f64 x (fma.f64 z y #s(literal 1 binary64))) x) (-.f64 (.f64 (.f64 x (fma.f64 z y #s(literal 1 binary64))) x) (pow.f64 (.f64 (.f64 (neg.f64 z) y) x) #s(literal 2 binary64))) (pow.f64 (.f64 (*.f64 (neg.f64 z) y) x) #s(literal 4 binary64))))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (fma.f64 #s(literal -1 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 z y) (fma.f64 z y #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (-.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 z (neg.f64 y) #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 (pow.f64 (.f64 (neg.f64 z) y) #s(literal 3 binary64)) x x) (-.f64 (pow.f64 (.f64 (neg.f64 z) y) #s(literal 4 binary64)) (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) (fma.f64 z y #s(literal 1 binary64))))
(.f64 (/.f64 (fma.f64 (pow.f64 (.f64 (neg.f64 z) y) #s(literal 3 binary64)) x x) (+.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 z) y) #s(literal 6 binary64)))) (fma.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 (*.f64 (neg.f64 z) y) #s(literal 4 binary64))))
(.f64 (/.f64 (.f64 x (-.f64 (.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) x) x)) (.f64 x (-.f64 (.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) x) x))) (.f64 (fma.f64 z (neg.f64 y) #s(literal 1 binary64)) x))
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z y #s(literal -1 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z y #s(literal -1 binary64))) #s(literal -1/2 binary64)))
(.f64 (/.f64 x (pow.f64 (-.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 z y #s(literal 1 binary64))))
(.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64))) #s(literal -1 binary64))) (pow.f64 (fma.f64 (.f64 z y) (-.f64 (.f64 z y) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 x (pow.f64 (fma.f64 z (neg.f64 y) #s(literal 1 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 z (neg.f64 y) #s(literal 1 binary64)) #s(literal -1/2 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (fma.f64 z y #s(literal -1 binary64)))
(.f64 (.f64 x (-.f64 x (.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) x))) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z y #s(literal 1 binary64)))))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 z y) x x)) (.f64 x (-.f64 (.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) x) x)))
(.f64 (pow.f64 (.f64 x (fma.f64 x (fma.f64 z y #s(literal 1 binary64)) (.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) x))) #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (neg.f64 z) y) x) #s(literal 3 binary64))))
(.f64 (neg.f64 (.f64 x (-.f64 (.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) x) x))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z y) x x)))
(.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (neg.f64 z) y) x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 x (fma.f64 x (fma.f64 z y #s(literal 1 binary64)) (.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) x))))))
(.f64 (.f64 (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) (fma.f64 z y #s(literal 1 binary64))))
(.f64 (fma.f64 (pow.f64 (.f64 (neg.f64 z) y) #s(literal 3 binary64)) x x) (pow.f64 (fma.f64 (.f64 z y) (-.f64 (.f64 z y) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z y #s(literal 1 binary64))) x))
(.f64 (.f64 x (-.f64 (.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) x) x)) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 z y) x x)))
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64))) (.f64 (pow.f64 (fma.f64 (.f64 z y) (-.f64 (*.f64 z y) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) x))
(.f64 (.f64 x (fma.f64 x (fma.f64 z y #s(literal 1 binary64)) (.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) x))) (/.f64 (.f64 (fma.f64 z (neg.f64 y) #s(literal 1 binary64)) x) (.f64 x (fma.f64 x (fma.f64 z y #s(literal 1 binary64)) (.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) x)))))
(.f64 (.f64 x (fma.f64 x (fma.f64 z y #s(literal 1 binary64)) (.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) x))) (.f64 (.f64 (fma.f64 z (neg.f64 y) #s(literal 1 binary64)) x) (pow.f64 (.f64 x (fma.f64 x (fma.f64 z y #s(literal 1 binary64)) (.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) x))) #s(literal -1 binary64))))
(.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (neg.f64 z) y) x) #s(literal 3 binary64))) (pow.f64 (.f64 x (fma.f64 x (fma.f64 z y #s(literal 1 binary64)) (.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) x))) #s(literal -1 binary64)))
(*.f64 (neg.f64 x) (fma.f64 z y #s(literal -1 binary64)))
(*.f64 (fma.f64 z y #s(literal -1 binary64)) (neg.f64 x))
(.f64 #s(literal -1 binary64) (.f64 (fma.f64 z y #s(literal -1 binary64)) x))
(.f64 (.f64 (fma.f64 z (neg.f64 y) #s(literal 1 binary64)) x) (/.f64 (.f64 x (fma.f64 (neg.f64 z) y #s(literal -1 binary64))) (.f64 x (fma.f64 (neg.f64 z) y #s(literal -1 binary64)))))
(.f64 (.f64 (fma.f64 z (neg.f64 y) #s(literal 1 binary64)) x) (.f64 (.f64 x (fma.f64 (neg.f64 z) y #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 z y) x x))))
(.f64 (.f64 (fma.f64 z (neg.f64 y) #s(literal 1 binary64)) x) #s(literal 1 binary64))
(*.f64 (fma.f64 z (neg.f64 y) #s(literal 1 binary64)) x)
(.f64 #s(literal 1 binary64) (.f64 (fma.f64 z (neg.f64 y) #s(literal 1 binary64)) x))
(*.f64 x (fma.f64 z (neg.f64 y) #s(literal 1 binary64)))
(pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z y #s(literal -1 binary64))) #s(literal -1 binary64))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (neg.f64 z) y) x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 z y) x x))) (.f64 x (fma.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) x x)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (neg.f64 z) y) x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 z y) x x))) (fma.f64 (.f64 x x) (.f64 x (fma.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) x x)) (pow.f64 (.f64 (*.f64 (neg.f64 z) y) x) #s(literal 4 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (neg.f64 z) y) x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (.f64 x (fma.f64 x (fma.f64 z y #s(literal 1 binary64)) (.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) x))) #s(literal -1 binary64))) (-.f64 (pow.f64 (.f64 (.f64 (neg.f64 z) y) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (.f64 (.f64 (neg.f64 z) y) x) #s(literal 9 binary64))) (pow.f64 (.f64 x (fma.f64 x (fma.f64 z y #s(literal 1 binary64)) (.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) x))) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 (.f64 (.f64 (neg.f64 z) y) x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (.f64 (.f64 (*.f64 (neg.f64 z) y) x) x) #s(literal 3 binary64))))
(/.f64 (.f64 (.f64 x (-.f64 (.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) x) x)) #s(literal 1 binary64)) (*.f64 x (fma.f64 (neg.f64 z) y #s(literal -1 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (neg.f64 z) y) x) #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 x (fma.f64 x (fma.f64 z y #s(literal 1 binary64)) (.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) x))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 1 binary64)) x)) (fma.f64 (neg.f64 z) y #s(literal -1 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (.f64 (neg.f64 z) y) #s(literal 3 binary64)) x x)) (fma.f64 (.f64 z y) (-.f64 (.f64 z y) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 (.f64 (neg.f64 z) y) x) #s(literal 2 binary64)) (.f64 x (fma.f64 (neg.f64 z) y #s(literal -1 binary64)))) (/.f64 (pow.f64 (.f64 (.f64 (neg.f64 z) y) x) #s(literal 2 binary64)) (.f64 x (fma.f64 (neg.f64 z) y #s(literal -1 binary64))))) (.f64 (/.f64 (.f64 (neg.f64 x) x) (fma.f64 (.f64 z y) x x)) (/.f64 (.f64 (neg.f64 x) x) (fma.f64 (.f64 z y) x x)))) (fma.f64 (pow.f64 (.f64 (.f64 (neg.f64 z) y) x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 z y) x x)) (/.f64 (.f64 (neg.f64 x) x) (fma.f64 (*.f64 z y) x x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (.f64 (neg.f64 z) y) x) #s(literal 2 binary64)) (.f64 x (fma.f64 (neg.f64 z) y #s(literal -1 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (neg.f64 x) x) (fma.f64 (.f64 z y) x x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 (.f64 (neg.f64 z) y) x) #s(literal 2 binary64)) (.f64 x (fma.f64 (neg.f64 z) y #s(literal -1 binary64)))) (/.f64 (pow.f64 (.f64 (.f64 (neg.f64 z) y) x) #s(literal 2 binary64)) (.f64 x (fma.f64 (neg.f64 z) y #s(literal -1 binary64)))) (fma.f64 (/.f64 (.f64 (neg.f64 x) x) (fma.f64 (.f64 z y) x x)) (/.f64 (.f64 (neg.f64 x) x) (fma.f64 (.f64 z y) x x)) (.f64 (/.f64 (pow.f64 (.f64 (.f64 (neg.f64 z) y) x) #s(literal 2 binary64)) (.f64 x (fma.f64 (neg.f64 z) y #s(literal -1 binary64)))) (/.f64 (.f64 (neg.f64 x) x) (fma.f64 (*.f64 z y) x x))))))
(/.f64 (/.f64 x (pow.f64 (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 (neg.f64 z) y #s(literal -1 binary64)))
(/.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64))) #s(literal -1 binary64))) (fma.f64 (.f64 z y) (-.f64 (*.f64 z y) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (/.f64 x (pow.f64 (fma.f64 z (neg.f64 y) #s(literal 1 binary64)) #s(literal -1/2 binary64))) (pow.f64 (fma.f64 z (neg.f64 y) #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (.f64 x (-.f64 x (.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) x)))) (neg.f64 (.f64 x (fma.f64 z y #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (.f64 x (-.f64 (.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) x) x)))) (neg.f64 (fma.f64 (.f64 z y) x x)))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (neg.f64 z) y) x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (.f64 x (fma.f64 x (fma.f64 z y #s(literal 1 binary64)) (.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) x))))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) #s(literal 1 binary64)) x)) (fma.f64 z y #s(literal 1 binary64)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 (neg.f64 z) y) #s(literal 3 binary64)) x x)) (neg.f64 (fma.f64 (.f64 z y) (-.f64 (*.f64 z y) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (neg.f64 z) y) x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (.f64 x (fma.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) x x)) (*.f64 x (fma.f64 (neg.f64 z) y #s(literal -1 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (neg.f64 z) y) x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x x) (.f64 x (fma.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) x x)) (pow.f64 (.f64 (.f64 (neg.f64 z) y) x) #s(literal 4 binary64))) (.f64 x (fma.f64 (neg.f64 z) y #s(literal -1 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (neg.f64 z) y) x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (pow.f64 (.f64 (.f64 (neg.f64 z) y) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 x (fma.f64 x (fma.f64 z y #s(literal 1 binary64)) (.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) x)))))
(/.f64 (.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (.f64 (.f64 (neg.f64 z) y) x) #s(literal 9 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (+.f64 (pow.f64 (.f64 (.f64 (neg.f64 z) y) x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (.f64 (.f64 (.f64 (neg.f64 z) y) x) x) #s(literal 3 binary64))) (.f64 x (fma.f64 x (fma.f64 z y #s(literal 1 binary64)) (.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) x)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64))) (neg.f64 x)) (fma.f64 (neg.f64 z) y #s(literal -1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 z y #s(literal 1 binary64)) (pow.f64 x #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 (neg.f64 (-.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 x)) (fma.f64 (neg.f64 z) y #s(literal -1 binary64)))
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(fma.f64 (/.f64 (.f64 z z) (neg.f64 (pow.f64 z #s(literal 3 binary64)))) (.f64 z z) #s(literal 0 binary64))
(fma.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) z) (neg.f64 z) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 0 binary64))
(fma.f64 (pow.f64 z #s(literal 3 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) z) z) #s(literal 0 binary64))
(fma.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) z) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 (neg.f64 z) z) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 (neg.f64 z) z) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z) #s(literal 0 binary64))
(fma.f64 (*.f64 z z) (/.f64 #s(literal -1 binary64) z) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) z #s(literal 0 binary64))
(fma.f64 (*.f64 (neg.f64 z) z) (pow.f64 z #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 z) (*.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) z)) #s(literal 0 binary64))
(fma.f64 (neg.f64 z) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 z #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (neg.f64 z) #s(literal 0 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 z z)) (/.f64 (pow.f64 z #s(literal 3 binary64)) (.f64 z z)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) z)
(-.f64 (/.f64 #s(literal 0 binary64) z) z)
(-.f64 #s(literal 0 binary64) z)
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) #s(literal -1 binary64)))
(+.f64 #s(literal 0 binary64) (neg.f64 z))
(+.f64 (neg.f64 z) #s(literal 0 binary64))

eval780.0ms (11.4%)

Memory: 17.3MiB live, 175.7MiB allocated
Compiler: Compiled 10 869 to 1 820 computations (83.3% saved)

prune12.0ms (0.2%)

Memory

3.4MiB live, 42.0MiB allocated

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	577	2	579
Fresh	0	0	0
Picked	1	1	2
Done	0	5	5
Total	578	8	586

Accuracy

100.0%

Counts

586 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	75.4%	(fma.f64 (.f64 (.f64 (neg.f64 z) x) z) (/.f64 y z) x)
✓	84.4%	(fma.f64 (.f64 x (/.f64 (.f64 (neg.f64 z) z) z)) y x)
✓	97.2%	(fma.f64 (*.f64 x (neg.f64 z)) y x)
✓	95.0%	(fma.f64 (*.f64 x (neg.f64 y)) z x)
▶	95.1%	(/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 z y #s(literal -1 binary64))))
✓	95.1%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))
✓	49.0%	(.f64 x #s(approx (- 1 ( y z)) (*.f64 (neg.f64 y) z)))
✓	48.2%	(.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64)))

Compiler

Compiled 72 to 61 computations (15.3% saved)

simplify129.0ms (1.9%)

Memory

-4.3MiB live, 158.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 z)
cost-diff	0	(*.f64 (neg.f64 z) x)
cost-diff	0	(.f64 (.f64 (neg.f64 z) x) z)
cost-diff	1024	(fma.f64 (.f64 (.f64 (neg.f64 z) x) z) (/.f64 y z) x)
cost-diff	0	(fma.f64 z y #s(literal -1 binary64))
cost-diff	0	(/.f64 #s(literal -1 binary64) (fma.f64 z y #s(literal -1 binary64)))
cost-diff	960	(/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 z y #s(literal -1 binary64))))

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	12	51
0	22	48
1	41	48
2	102	48
3	320	48
4	705	46
5	1524	46
6	3188	46
7	5385	46
8	7349	46
0	8047	46

Stop Event

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

Calls

Call 1

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

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

localize47.0ms (0.7%)

Memory

-9.9MiB live, 112.3MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 (neg.f64 z) x)
accuracy	0.0	(neg.f64 z)
accuracy	0.16015625	(.f64 (.f64 (neg.f64 z) x) z)
accuracy	15.418400070777459	(fma.f64 (.f64 (.f64 (neg.f64 z) x) z) (/.f64 y z) x)
accuracy	0.0	(fma.f64 z y #s(literal -1 binary64))
accuracy	0.6575477096294384	(/.f64 #s(literal -1 binary64) (fma.f64 z y #s(literal -1 binary64)))
accuracy	2.4435784883313754	(/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 z y #s(literal -1 binary64))))

Samples

38.0ms

256×

valid

Compiler

Compiled 108 to 28 computations (74.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-neg: 12.0ms (41.9% of total)

ival-mult: 7.0ms (24.5% of total)

ival-div: 5.0ms (17.5% of total)

ival-add: 4.0ms (14% of total)

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

exact: 0.0ms (0% of total)

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

series19.0ms (0.3%)

Memory

6.4MiB live, 45.6MiB allocated

Counts

7 → 36

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
7.0ms	y	@	-inf	((/ x (/ -1 (+ (* z y) -1))) (/ -1 (+ (* z y) -1)) (+ (* z y) -1) (+ (* (* (* (neg z) x) z) (/ y z)) x) (* (* (neg z) x) z) (* (neg z) x) (neg z))
2.0ms	x	@	0	((/ x (/ -1 (+ (* z y) -1))) (/ -1 (+ (* z y) -1)) (+ (* z y) -1) (+ (* (* (* (neg z) x) z) (/ y z)) x) (* (* (neg z) x) z) (* (neg z) x) (neg z))
2.0ms	x	@	inf	((/ x (/ -1 (+ (* z y) -1))) (/ -1 (+ (* z y) -1)) (+ (* z y) -1) (+ (* (* (* (neg z) x) z) (/ y z)) x) (* (* (neg z) x) z) (* (neg z) x) (neg z))
2.0ms	z	@	inf	((/ x (/ -1 (+ (* z y) -1))) (/ -1 (+ (* z y) -1)) (+ (* z y) -1) (+ (* (* (* (neg z) x) z) (/ y z)) x) (* (* (neg z) x) z) (* (neg z) x) (neg z))
1.0ms	z	@	-inf	((/ x (/ -1 (+ (* z y) -1))) (/ -1 (+ (* z y) -1)) (+ (* z y) -1) (+ (* (* (* (neg z) x) z) (/ y z)) x) (* (* (neg z) x) z) (* (neg z) x) (neg z))

simplify116.0ms (1.7%)

Memory

9.9MiB live, 120.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	148	421
1	422	407
2	1038	390
3	3619	390
0	8130	374

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 35

Calls

Call 1

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

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

rewrite230.0ms (3.4%)

Memory

11.0MiB live, 164.8MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	41
0	22	38
1	87	36
2	569	36
3	7153	36
0	8062	36

Stop Event

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

Counts

7 → 699

Calls

Call 1

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

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

eval93.0ms (1.4%)

Memory: -1.5MiB live, 89.1MiB allocated
Compiler: Compiled 9 596 to 1 431 computations (85.1% saved)

prune18.0ms (0.3%)

Memory

-9.8MiB live, 27.5MiB allocated

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	484	1	485
Fresh	0	0	0
Picked	1	1	2
Done	0	6	6
Total	485	8	493

Accuracy

100.0%

Counts

493 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	75.4%	(fma.f64 (.f64 (.f64 (neg.f64 z) x) z) (/.f64 y z) x)
✓	84.4%	(fma.f64 (.f64 x (/.f64 (.f64 (neg.f64 z) z) z)) y x)
✓	97.2%	(fma.f64 (*.f64 x (neg.f64 z)) y x)
✓	95.0%	(fma.f64 (*.f64 x (neg.f64 y)) z x)
	48.9%	(/.f64 x (/.f64 #s(literal -1 binary64) #s(approx (+ (* z y) -1) (*.f64 y z))))
✓	95.1%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))
✓	49.0%	(.f64 x #s(approx (- 1 ( y z)) (*.f64 (neg.f64 y) z)))
✓	48.2%	(.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64)))

Compiler

Compiled 215 to 125 computations (41.9% saved)

regimes62.0ms (0.9%)

Memory

-9.1MiB live, 29.0MiB allocated

Counts

12 → 2

Calls

Call 1

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

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

Calls

6 calls:

44.0ms	x
4.0ms	z
4.0ms	y
3.0ms	(*.f64 y z)
3.0ms	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))

Results

Accuracy	Segments	Branch
99.5%	2	`x`
97.2%	1	`y`
97.2%	1	`z`
97.2%	1	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))`
97.2%	1	`(-.f64 #s(literal 1 binary64) (*.f64 y z))`
97.2%	1	`(*.f64 y z)`

Compiler

Compiled 18 to 26 computations (-44.4% saved)

regimes11.0ms (0.2%)

Memory

19.0MiB live, 19.0MiB allocated

Counts

4 → 2

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
95.1%	1	`y`
96.9%	2	`z`
98.4%	2	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))`
98.4%	2	`(-.f64 #s(literal 1 binary64) (*.f64 y z))`
98.4%	2	`(*.f64 y z)`
98.0%	2	`x`

Compiler

Compiled 18 to 26 computations (-44.4% saved)

regimes36.0ms (0.5%)

Memory

-15.5MiB live, 23.3MiB allocated

Counts

3 → 1

Calls

Call 1

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

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

Calls

6 calls:

27.0ms	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
95.1%	1	`y`
95.1%	1	`z`
95.1%	1	`x`
95.1%	1	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))`
95.1%	1	`(-.f64 #s(literal 1 binary64) (*.f64 y z))`
95.1%	1	`(*.f64 y z)`

Compiler

Compiled 18 to 26 computations (-44.4% saved)

regimes9.0ms (0.1%)

Memory

20.7MiB live, 20.7MiB allocated

Counts

2 → 3

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
59.2%	5	`x`
74.5%	3	`y`
77.3%	3	`z`
78.5%	3	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))`
93.5%	3	`(-.f64 #s(literal 1 binary64) (*.f64 y z))`
93.5%	3	`(*.f64 y z)`

Compiler

Compiled 18 to 26 computations (-44.4% saved)

regimes10.0ms (0.1%)

Memory

-23.9MiB live, 20.8MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
48.2%	1	`x`
48.2%	1	`y`
48.2%	1	`z`
48.2%	1	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))`
48.2%	1	`(-.f64 #s(literal 1 binary64) (*.f64 y z))`
48.2%	1	`(*.f64 y z)`

Compiler

Compiled 18 to 26 computations (-44.4% saved)

bsearch4.0ms (0.1%)

Memory

9.8MiB live, 9.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
4.0ms	7.85764754417401e+27	9.780574595826917e+27

Samples

2.0ms

48×

valid

Compiler

Compiled 52 to 58 computations (-11.5% saved)

Precisions

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

ival-mult: 1.0ms (105% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.8589894496932886e+163	3.4488209286987716e+164

Compiler

Compiled 10 to 13 computations (-30% saved)

bsearch1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.410448072818753e-11	32.04271126762202
0.0ms	-42.824784087209736	-1.8252568476140678e-11

Compiler

Compiled 10 to 13 computations (-30% saved)

simplify68.0ms (1%)

Memory

18.9MiB live, 58.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	99
1	54	99
2	75	99
3	87	99
4	92	99
5	93	99

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal 8000000000000000106300440576 binary64)) (fma.f64 (.f64 x (neg.f64 z)) y x) (.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))))
(if (<=.f64 (.f64 y z) #s(literal 19999999999999998756998792762327949329010503188779359707514506318453717177647300049857109939280861218697999592437884260063650541878172986715259798414031028024770560 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z))) (fma.f64 (.f64 x (neg.f64 y)) z x))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))
(if (<=.f64 (.f64 y z) #s(literal -40 binary64)) (.f64 x #s(approx (- 1 (* y z)) (.f64 (neg.f64 y) z))) (if (<=.f64 (.f64 y z) #s(literal 7737125245533627/154742504910672534362390528 binary64)) (.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64))) (.f64 x #s(approx (- 1 ( y z)) (*.f64 (neg.f64 y) z)))))
(.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64)))

Outputs
(if (<=.f64 x #s(literal 8000000000000000106300440576 binary64)) (fma.f64 (.f64 x (neg.f64 z)) y x) (.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))))
(if (<=.f64 x #s(literal 8000000000000000106300440576 binary64)) (fma.f64 (.f64 (neg.f64 z) x) y x) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) x))
(if (<=.f64 (.f64 y z) #s(literal 19999999999999998756998792762327949329010503188779359707514506318453717177647300049857109939280861218697999592437884260063650541878172986715259798414031028024770560 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z))) (fma.f64 (.f64 x (neg.f64 y)) z x))
(if (<=.f64 (.f64 y z) #s(literal 19999999999999998756998792762327949329010503188779359707514506318453717177647300049857109939280861218697999592437884260063650541878172986715259798414031028024770560 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) x) (fma.f64 (.f64 (neg.f64 y) x) z x))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) x)
(if (<=.f64 (.f64 y z) #s(literal -40 binary64)) (.f64 x #s(approx (- 1 (* y z)) (.f64 (neg.f64 y) z))) (if (<=.f64 (.f64 y z) #s(literal 7737125245533627/154742504910672534362390528 binary64)) (.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64))) (.f64 x #s(approx (- 1 ( y z)) (*.f64 (neg.f64 y) z)))))
(if (<=.f64 (.f64 y z) #s(literal -40 binary64)) (.f64 #s(approx (- 1 (* y z)) (.f64 (neg.f64 y) z)) x) (if (<=.f64 (.f64 y z) #s(literal 7737125245533627/154742504910672534362390528 binary64)) (.f64 #s(approx (- 1 ( y z)) #s(literal 1 binary64)) x) (.f64 #s(approx (- 1 ( y z)) (*.f64 (neg.f64 y) z)) x)))
(.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64)))
(.f64 #s(approx (- 1 ( y z)) #s(literal 1 binary64)) x)

soundness793.0ms (11.6%)

Memory

-23.0MiB live, 205.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	82
1	136	82
2	293	82
3	486	82
4	1970	82
5	4976	82
6	6485	82
7	7226	82
8	7431	82
9	7537	82
10	7617	82
0	8110	82
0	7	15
0	10	15
1	32	15
2	192	15
3	1532	15
0	9726	13

Stop Event

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

Compiler

Compiled 139 to 69 computations (50.4% saved)

preprocess242.0ms (3.5%)

Memory: 4.8MiB live, 160.3MiB allocated
Compiler: Compiled 428 to 236 computations (44.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	7	19
0	10	19
1	19	19
2	36	19
3	74	19
4	194	19
5	251	19
6	303	19
7	401	19
8	461	19
9	549	19
10	563	19
0	563	19

Iter	Nodes	Cost
0	7	19
0	10	19
1	19	19
2	36	19
3	74	19
4	194	19
5	251	19
6	303	19
7	401	19
8	461	19
9	549	19
10	563	19
0	563	19

start0.0ms (0%)

analyze0.0ms (0%)

sample920.0ms (13.4%)

explain126.0ms (1.8%)

preprocess86.0ms (1.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify17.0ms (0.2%)

localize60.0ms (0.9%)

series6.0ms (0.1%)

simplify191.0ms (2.8%)

rewrite498.0ms (7.3%)

eval231.0ms (3.4%)

prune60.0ms (0.9%)

simplify159.0ms (2.3%)

localize70.0ms (1%)

series76.0ms (1.1%)

simplify156.0ms (2.3%)

rewrite388.0ms (5.7%)

eval115.0ms (1.7%)

prune112.0ms (1.6%)

simplify316.0ms (4.6%)

localize57.0ms (0.8%)

series31.0ms (0.5%)

simplify154.0ms (2.2%)

rewrite345.0ms (5%)

eval780.0ms (11.4%)

prune12.0ms (0.2%)

simplify129.0ms (1.9%)

localize47.0ms (0.7%)

series19.0ms (0.3%)

simplify116.0ms (1.7%)

rewrite230.0ms (3.4%)

eval93.0ms (1.4%)

prune18.0ms (0.3%)

regimes62.0ms (0.9%)

regimes11.0ms (0.2%)

regimes36.0ms (0.5%)

regimes9.0ms (0.1%)

regimes10.0ms (0.1%)

bsearch4.0ms (0.1%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

simplify68.0ms (1%)

soundness793.0ms (11.6%)

preprocess242.0ms (3.5%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	7	19
0	10	19
1	19	19
2	36	19
3	74	19
4	194	19
5	251	19
6	303	19
7	401	19
8	461	19
9	549	19
10	563	19
0	563	19