Metrics for Numeric.SpecFunctions:log1p from math-functions-0.1.5.2, A

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated

analyze0.0ms (0%)

Memory

1.7MiB live, 1.7MiB 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 8 computations (11.1% saved)

sample812.0ms (15.7%)

Memory

-2.2MiB live, 1 203.0MiB allocated

Samples

519.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 197.0ms

ival-mult: 137.0ms (69.4% of total)

ival-sub: 46.0ms (23.3% of total)

ival-true: 6.0ms (3% of total)

exact: 5.0ms (2.5% of total)

ival-assert: 4.0ms (2% of total)

Bogosity

explain99.0ms (1.9%)

Memory

40.6MiB live, 130.6MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`y`
-	-	`(-.f64 #s(literal 1 binary64) (*.f64 x y))`
-	-	`#s(literal 1 binary64)`
-	-	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))`
-	-	`(*.f64 x y)`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

43.0ms

512×

valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-mult: 27.0ms (88.9% of total)

ival-sub: 3.0ms (9.9% of total)

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

exact: 0.0ms (0% of total)

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

preprocess49.0ms (1%)

Memory

-1.4MiB live, 95.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	37
1	44	37
2	112	35
3	206	35
4	365	35
5	514	35
6	749	35
7	873	35
8	892	35
9	892	35
0	6	7
0	9	7
1	16	7
2	31	7
3	65	7
4	140	7
5	243	7
6	332	7
7	505	7
8	527	7
0	527	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 x y)))

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify17.0ms (0.3%)

Memory

-20.6MiB live, 23.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	9	18
1	16	18
2	31	18
3	65	18
4	140	18
5	243	18
6	332	18
7	505	18
8	527	18
0	527	18

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize43.0ms (0.8%)

Memory

-3.9MiB live, 43.5MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x y)
accuracy	0.00390625	(-.f64 #s(literal 1 binary64) (*.f64 x y))
accuracy	0.08203125	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))

Samples

39.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

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

ival-mult: 3.0ms (58.6% of total)

ival-sub: 1.0ms (19.5% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

8.8MiB live, 8.8MiB allocated

Counts

3 → 15

Calls

Call 1

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

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

Calls

6 calls:

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

simplify256.0ms (5%)

Memory

0.6MiB live, 422.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	85
1	112	75
2	258	75
3	810	75
4	3460	75
0	8106	75

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 14

Calls

Call 1

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

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

rewrite305.0ms (5.9%)

Memory

-4.1MiB live, 328.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	30	15
2	176	15
3	1449	15
0	8912	13

Stop Event

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

Counts

3 → 375

Calls

Call 1

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

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

eval111.0ms (2.2%)

Memory: 39.4MiB live, 138.5MiB allocated
Compiler: Compiled 10 774 to 1 179 computations (89.1% saved)

prune11.0ms (0.2%)

Memory

-7.0MiB live, 37.1MiB allocated

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	374	7	381
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	374	8	382

Accuracy

100.0%

Counts

382 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	91.2%	(-.f64 x (.f64 (.f64 x x) y))
	63.2%	(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (/.f64 x (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))))
▶	33.9%	(.f64 x (fma.f64 (sqrt.f64 (.f64 (*.f64 y y) x)) (sqrt.f64 x) #s(literal 1 binary64)))
	36.0%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (.f64 (.f64 x x) y)) (sqrt.f64 y))))
▶	59.6%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (.f64 y x)) (sqrt.f64 (.f64 y x)))))
✓	99.9%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))
▶	54.4%	(.f64 x #s(approx (- 1 ( x y)) (*.f64 (neg.f64 x) y)))
▶	47.7%	(.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64)))

Compiler

Compiled 177 to 126 computations (28.8% saved)

simplify178.0ms (3.4%)

Memory

-4.6MiB live, 136.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	149
0	44	131
1	87	131
2	204	131
3	501	131
4	925	131
5	1128	131
6	1238	131
7	1294	131
8	1584	131
9	2312	131
10	3028	131
11	3155	131
12	3412	131
13	4975	131
14	6482	131
15	7643	131
16	7779	131
17	7945	131
0	8155	131

Stop Event

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

Calls

Call 1

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

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

localize127.0ms (2.5%)

Memory

-22.0MiB live, 185.6MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (.f64 y x)) (sqrt.f64 (*.f64 y x))))
accuracy	0.03515625	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (.f64 y x)) (sqrt.f64 (.f64 y x)))))
accuracy	0.10384750976844201	(.f64 (sqrt.f64 (.f64 y x)) (sqrt.f64 (*.f64 y x)))
accuracy	4.717206364399224	(sqrt.f64 (*.f64 y x))
accuracy	0.03515625	(fma.f64 (sqrt.f64 (.f64 (.f64 y y) x)) (sqrt.f64 x) #s(literal 1 binary64))
accuracy	0.04296875	(.f64 x (fma.f64 (sqrt.f64 (.f64 (*.f64 y y) x)) (sqrt.f64 x) #s(literal 1 binary64)))
accuracy	2.5227991509753798	(.f64 (.f64 y y) x)
accuracy	6.027591062767726	(sqrt.f64 (.f64 (.f64 y y) x))
accuracy	0.0	(*.f64 (neg.f64 x) y)
accuracy	0.0	(neg.f64 x)
accuracy	0.03515625	(.f64 x #s(approx (- 1 ( x y)) (*.f64 (neg.f64 x) y)))
accuracy	8.90589923590327	#s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y))
accuracy	0.03515625	(.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64)))
accuracy	10.573053751903823	#s(approx (- 1 (* x y)) #s(literal 1 binary64))
accuracy	0.0	(-.f64 x (.f64 (.f64 x x) y))
accuracy	0.0	(*.f64 x x)
accuracy	2.1639385986258843	(.f64 (.f64 x x) y)

Samples

36.0ms	180×	0	invalid
34.0ms	76×	0	valid

Compiler

Compiled 139 to 25 computations (82% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-mult: 17.0ms (61.1% of total)

ival-sqrt: 5.0ms (18% of total)

ival-sub: 3.0ms (10.8% of total)

ival-add: 1.0ms (3.6% of total)

ival-neg: 1.0ms (3.6% of total)

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

exact: 0.0ms (0% of total)

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

series33.0ms (0.6%)

Memory

1.9MiB live, 43.8MiB allocated

Counts

17 → 45

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
16.0ms	y	@	inf	((- x (* (* x x) y)) (* (* x x) y) (* x x) (* x (- 1 (* x y))) (- 1 (* x y)) (* x (- 1 (* x y))) (- 1 (* x y)) (* (neg x) y) (neg x) (* x (+ (* (sqrt (* (* y y) x)) (sqrt x)) 1)) (+ (* (sqrt (* (* y y) x)) (sqrt x)) 1) (sqrt (* (* y y) x)) (* (* y y) x) (* (sqrt (* y x)) (sqrt (* y x))) (* x (- 1 (* (sqrt (* y x)) (sqrt (* y x))))) (- 1 (* (sqrt (* y x)) (sqrt (* y x)))) (sqrt (* y x)))
6.0ms	x	@	-inf	((- x (* (* x x) y)) (* (* x x) y) (* x x) (* x (- 1 (* x y))) (- 1 (* x y)) (* x (- 1 (* x y))) (- 1 (* x y)) (* (neg x) y) (neg x) (* x (+ (* (sqrt (* (* y y) x)) (sqrt x)) 1)) (+ (* (sqrt (* (* y y) x)) (sqrt x)) 1) (sqrt (* (* y y) x)) (* (* y y) x) (* (sqrt (* y x)) (sqrt (* y x))) (* x (- 1 (* (sqrt (* y x)) (sqrt (* y x))))) (- 1 (* (sqrt (* y x)) (sqrt (* y x)))) (sqrt (* y x)))
3.0ms	y	@	-inf	((- x (* (* x x) y)) (* (* x x) y) (* x x) (* x (- 1 (* x y))) (- 1 (* x y)) (* x (- 1 (* x y))) (- 1 (* x y)) (* (neg x) y) (neg x) (* x (+ (* (sqrt (* (* y y) x)) (sqrt x)) 1)) (+ (* (sqrt (* (* y y) x)) (sqrt x)) 1) (sqrt (* (* y y) x)) (* (* y y) x) (* (sqrt (* y x)) (sqrt (* y x))) (* x (- 1 (* (sqrt (* y x)) (sqrt (* y x))))) (- 1 (* (sqrt (* y x)) (sqrt (* y x)))) (sqrt (* y x)))
2.0ms	x	@	0	((- x (* (* x x) y)) (* (* x x) y) (* x x) (* x (- 1 (* x y))) (- 1 (* x y)) (* x (- 1 (* x y))) (- 1 (* x y)) (* (neg x) y) (neg x) (* x (+ (* (sqrt (* (* y y) x)) (sqrt x)) 1)) (+ (* (sqrt (* (* y y) x)) (sqrt x)) 1) (sqrt (* (* y y) x)) (* (* y y) x) (* (sqrt (* y x)) (sqrt (* y x))) (* x (- 1 (* (sqrt (* y x)) (sqrt (* y x))))) (- 1 (* (sqrt (* y x)) (sqrt (* y x)))) (sqrt (* y x)))
2.0ms	x	@	inf	((- x (* (* x x) y)) (* (* x x) y) (* x x) (* x (- 1 (* x y))) (- 1 (* x y)) (* x (- 1 (* x y))) (- 1 (* x y)) (* (neg x) y) (neg x) (* x (+ (* (sqrt (* (* y y) x)) (sqrt x)) 1)) (+ (* (sqrt (* (* y y) x)) (sqrt x)) 1) (sqrt (* (* y y) x)) (* (* y y) x) (* (sqrt (* y x)) (sqrt (* y x))) (* x (- 1 (* (sqrt (* y x)) (sqrt (* y x))))) (- 1 (* (sqrt (* y x)) (sqrt (* y x)))) (sqrt (* y x)))

simplify127.0ms (2.5%)

Memory

-7.0MiB live, 182.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	252
1	285	234
2	719	234
3	2018	234
0	7454	225

Stop Event

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

Counts

45 → 44

Calls

Call 1

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

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

rewrite246.0ms (4.8%)

Memory

6.7MiB live, 387.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	129
0	44	112
1	150	101
2	849	96
3	7665	96
0	8012	87

Stop Event

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

Counts

17 → 1 088

Calls

Call 1

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

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

eval228.0ms (4.4%)

Memory: -0.8MiB live, 248.6MiB allocated
Compiler: Compiled 12 780 to 1 989 computations (84.4% saved)

prune18.0ms (0.3%)

Memory

30.8MiB live, 77.0MiB allocated

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	643	6	649
Fresh	1	1	2
Picked	2	3	5
Done	0	1	1
Total	646	11	657

Accuracy

100.0%

Counts

657 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	59.6%	(fma.f64 (.f64 (neg.f64 x) (sqrt.f64 (.f64 y x))) (sqrt.f64 (*.f64 y x)) x)
✓	91.2%	(-.f64 x (.f64 (.f64 x x) y))
	57.4%	(-.f64 x (sqrt.f64 (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) y) y)))
▶	63.2%	(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (/.f64 x (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))))
✓	99.9%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))
▶	28.8%	(.f64 x #s(approx (- 1 ( x y)) (.f64 (.f64 (sqrt.f64 x) y) (neg.f64 (sqrt.f64 x)))))
▶	28.0%	(.f64 x #s(approx (- 1 ( x y)) (.f64 (sqrt.f64 y) (neg.f64 (.f64 x (sqrt.f64 y))))))
✓	54.4%	(.f64 x #s(approx (- 1 ( x y)) (*.f64 (neg.f64 x) y)))
✓	47.7%	(.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64)))
▶	49.8%	#s(approx (- x (* (* x x) y)) (.f64 (.f64 (neg.f64 x) x) y))
▶	3.0%	#s(approx (* x (+ (* (sqrt (* (* y y) x)) (sqrt x)) 1)) (.f64 (.f64 x x) y))

Compiler

Compiled 249 to 168 computations (32.5% saved)

simplify95.0ms (1.8%)

Memory

-18.8MiB live, 127.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (sqrt.f64 x) y)
cost-diff	0	#s(approx (- 1 (* x y)) (.f64 (.f64 (sqrt.f64 x) y) (neg.f64 (sqrt.f64 x))))
cost-diff	0	(.f64 x #s(approx (- 1 ( x y)) (.f64 (.f64 (sqrt.f64 x) y) (neg.f64 (sqrt.f64 x)))))
cost-diff	4	(.f64 (.f64 (sqrt.f64 x) y) (neg.f64 (sqrt.f64 x)))
cost-diff	0	(sqrt.f64 y)
cost-diff	0	#s(approx (- 1 (* x y)) (.f64 (sqrt.f64 y) (neg.f64 (.f64 x (sqrt.f64 y)))))
cost-diff	0	(.f64 x #s(approx (- 1 ( x y)) (.f64 (sqrt.f64 y) (neg.f64 (.f64 x (sqrt.f64 y))))))
cost-diff	4	(.f64 (sqrt.f64 y) (neg.f64 (.f64 x (sqrt.f64 y))))
cost-diff	0	(neg.f64 x)
cost-diff	0	(*.f64 (neg.f64 x) x)
cost-diff	0	(.f64 (.f64 (neg.f64 x) x) y)
cost-diff	0	#s(approx (- x (* (* x x) y)) (.f64 (.f64 (neg.f64 x) x) y))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (.f64 x x) y)
cost-diff	0	#s(approx (* x (+ (* (sqrt (* (* y y) x)) (sqrt x)) 1)) (.f64 (.f64 x x) y))
cost-diff	0	(*.f64 y x)
cost-diff	0	(pow.f64 (*.f64 y x) #s(literal 3 binary64))
cost-diff	0	(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))
cost-diff	0	(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (/.f64 x (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))))

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	42	219
0	65	219
1	128	219
2	300	195
3	995	195
4	3430	188
5	6335	188
0	8236	188

Stop Event

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

Calls

Call 1

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

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

localize112.0ms (2.2%)

Memory

-3.6MiB live, 184.4MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.03515625	(.f64 x #s(approx (- 1 ( x y)) (.f64 (.f64 (sqrt.f64 x) y) (neg.f64 (sqrt.f64 x)))))
accuracy	0.05859375	(.f64 (.f64 (sqrt.f64 x) y) (neg.f64 (sqrt.f64 x)))
accuracy	0.0703125	(*.f64 (sqrt.f64 x) y)
accuracy	8.90589923590327	#s(approx (- 1 (* x y)) (.f64 (.f64 (sqrt.f64 x) y) (neg.f64 (sqrt.f64 x))))
accuracy	0.03515625	(.f64 x #s(approx (- 1 ( x y)) (.f64 (sqrt.f64 y) (neg.f64 (.f64 x (sqrt.f64 y))))))
accuracy	0.046875	(*.f64 x (sqrt.f64 y))
accuracy	0.09375	(.f64 (sqrt.f64 y) (neg.f64 (.f64 x (sqrt.f64 y))))
accuracy	8.90589923590327	#s(approx (- 1 (* x y)) (.f64 (sqrt.f64 y) (neg.f64 (.f64 x (sqrt.f64 y)))))
accuracy	0.0	(*.f64 (neg.f64 x) x)
accuracy	0.0	(neg.f64 x)
accuracy	2.1639385986258843	(.f64 (.f64 (neg.f64 x) x) y)
accuracy	8.719290097081963	#s(approx (- x (* (* x x) y)) (.f64 (.f64 (neg.f64 x) x) y))
accuracy	0.0	(*.f64 x x)
accuracy	2.1639385986258843	(.f64 (.f64 x x) y)
accuracy	8.5191664517941	#s(approx (* x (+ (* (sqrt (* (* y y) x)) (sqrt x)) 1)) (.f64 (.f64 x x) y))
accuracy	0.029628759768442016	(fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))
accuracy	0.06773378907376806	(pow.f64 (*.f64 y x) #s(literal 3 binary64))
accuracy	1.1586600081898668	(/.f64 x (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))
accuracy	6.42177348165266	(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (/.f64 x (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))))

Samples

68.0ms	180×	0	invalid
18.0ms	76×	0	valid

Compiler

Compiled 179 to 37 computations (79.3% saved)

Precisions

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

ival-mult: 41.0ms (59.2% of total)

ival-sub: 10.0ms (14.4% of total)

ival-sqrt: 5.0ms (7.2% of total)

ival-pow: 4.0ms (5.8% of total)

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

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

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

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

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

exact: 0.0ms (0% of total)

series49.0ms (0.9%)

Memory

13.9MiB live, 58.2MiB allocated

Counts

22 → 70

Calls

Call 1

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

Outputs
x
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* x (- (* -1 (* x (+ (* -1 (pow y 2)) (pow y 2)))) y))))
(* x (+ 1 (* x (- (* x (- (* x (* y (+ (* -1 (pow y 2)) (pow y 2)))) (+ (* -1 (pow y 2)) (pow y 2)))) y))))
1
(+ 1 (* -1 (* (pow x 3) (pow y 3))))
(* (pow x 3) (pow y 3))
(* x y)
(* x (+ 1 (* x y)))
(* (pow x 2) y)
(pow x 2)
(* -1 (* (pow x 2) y))
(* -1 (pow x 2))
(* -1 x)
(* -1 (* x y))
(+ 1 (* -1 (* x y)))
(* (sqrt x) y)
(* x (+ 1 (* x (- (* x (- (* -1 (* x (+ (* -1 (* y (+ (* -1 (pow y 2)) (pow y 2)))) (* -1 (pow y 3))))) (+ (* -1 (pow y 2)) (pow y 2)))) y))))
(+ 1 (* x y))
(+ 1 (* x (+ y (* x (pow y 2)))))
(* x (sqrt y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* -1 (* (pow x 3) (pow y 3)))
(* (pow x 3) (- (/ 1 (pow x 3)) (pow y 3)))
(* (pow x 2) (+ y (/ 1 x)))
(* (pow x 2) (- (/ 1 x) y))
(* x (- (/ 1 x) y))
(/ 1 (* x (pow y 2)))
(/ (- (/ 1 (pow y 2)) (/ 1 (* x (pow y 3)))) x)
(/ (- (+ (/ 1 (* (pow x 3) (pow y 5))) (/ 1 (pow y 2))) (/ 1 (* x (pow y 3)))) x)
(/ (- (+ (/ 1 (* (pow x 3) (pow y 5))) (/ 1 (pow y 2))) (+ (/ 1 (* x (pow y 3))) (/ 1 (* (pow x 4) (pow y 6))))) x)
(* (pow x 2) (pow y 2))
(* (pow x 2) (+ (/ y x) (pow y 2)))
(* (pow x 2) (+ (/ 1 (pow x 2)) (+ (/ y x) (pow y 2))))
(* (pow x 3) (+ (* -1 (pow y 3)) (/ 1 (pow x 3))))
(* -1 (* (pow x 2) (* y (pow (sqrt -1) 2))))
(* (pow x 2) (+ (* -1 (* y (pow (sqrt -1) 2))) (/ 1 x)))
(* x (+ (* -1 y) (/ 1 x)))
(* x (* y (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (/ (- (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x))
(* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 2) (pow y 5))) (/ 1 (pow y 3))) x)) (/ 1 (pow y 2))) x))
(* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 2) (pow y 5))) (+ (/ 1 (* (pow x 3) (pow y 6))) (/ 1 (pow y 3)))) x)) (/ 1 (pow y 2))) x))
(* (pow x 2) (+ (* -1 (/ (- (* -1 y) (/ 1 x)) x)) (pow y 2)))
(+ x (* -1 (* (pow x 2) y)))
(+ x (* y (- (* -1 (* y (+ (* -1 (pow x 3)) (pow x 3)))) (pow x 2))))
(+ x (* y (- (* y (- (* x (* y (+ (* -1 (pow x 3)) (pow x 3)))) (+ (* -1 (pow x 3)) (pow x 3)))) (pow x 2))))
(+ x (* (pow x 2) y))
(sqrt y)
(+ x (* y (- (* y (- (* -1 (* y (+ (* -1 (* x (+ (* -1 (pow x 3)) (pow x 3)))) (* -1 (pow x 4))))) (+ (* -1 (pow x 3)) (pow x 3)))) (pow x 2))))
(+ 1 (* y (+ x (* (pow x 2) y))))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* (pow y 3) (- (/ 1 (pow y 3)) (pow x 3)))
(* y (+ (/ x y) (pow x 2)))
(* y (- (/ x y) (pow x 2)))
(* y (- (/ 1 y) x))
(/ (- (/ 1 x) (/ 1 (* (pow x 2) y))) (pow y 2))
(/ (- (+ (/ 1 x) (/ 1 (* (pow x 4) (pow y 3)))) (/ 1 (* (pow x 2) y))) (pow y 2))
(/ (- (+ (/ 1 x) (/ 1 (* (pow x 4) (pow y 3)))) (+ (/ 1 (* (pow x 2) y)) (/ 1 (* (pow x 5) (pow y 4))))) (pow y 2))
(* (pow y 2) (+ (/ x y) (pow x 2)))
(* (pow y 2) (+ (/ 1 (pow y 2)) (+ (/ x y) (pow x 2))))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* (pow y 3) (+ (* -1 (pow x 3)) (/ 1 (pow y 3))))
(* -1 (* y (- (* -1 (/ x y)) (* -1 (pow x 2)))))
(* y (+ (* -1 x) (/ 1 y)))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(/ (+ (* -1 (/ (- (/ 1 (pow x 2)) (/ 1 (* (pow x 4) (pow y 2)))) y)) (/ 1 x)) (pow y 2))
(/ (+ (* -1 (/ (- (+ (/ 1 (* (pow x 5) (pow y 3))) (/ 1 (pow x 2))) (/ 1 (* (pow x 4) (pow y 2)))) y)) (/ 1 x)) (pow y 2))
(* (pow y 2) (+ (* -1 (/ (- (* -1 x) (/ 1 y)) y)) (pow x 2)))
(* -1 (* (* x (pow (sqrt -1) 2)) (sqrt y)))

Calls

6 calls:

Time	Variable		Point	Expression
22.0ms	y	@	0	((* (- 1 (pow (* y x) 3)) (/ x (+ (* (+ (* y x) 1) (* y x)) 1))) (- 1 (pow (* y x) 3)) (pow (* y x) 3) (* y x) (* x (+ (* (sqrt (* (* y y) x)) (sqrt x)) 1)) (* (* x x) y) (* x x) (- x (* (* x x) y)) (* (* (neg x) x) y) (* (neg x) x) (neg x) (* (sqrt y) (neg (* x (sqrt y)))) (* x (- 1 (* x y))) (- 1 (* x y)) (sqrt y) (* (* (sqrt x) y) (neg (sqrt x))) (* x (- 1 (* x y))) (- 1 (* x y)) (* (sqrt x) y) (/ x (+ (* (+ (* y x) 1) (* y x)) 1)) (+ (* (+ (* y x) 1) (* y x)) 1) (* x (sqrt y)))
7.0ms	x	@	inf	((* (- 1 (pow (* y x) 3)) (/ x (+ (* (+ (* y x) 1) (* y x)) 1))) (- 1 (pow (* y x) 3)) (pow (* y x) 3) (* y x) (* x (+ (* (sqrt (* (* y y) x)) (sqrt x)) 1)) (* (* x x) y) (* x x) (- x (* (* x x) y)) (* (* (neg x) x) y) (* (neg x) x) (neg x) (* (sqrt y) (neg (* x (sqrt y)))) (* x (- 1 (* x y))) (- 1 (* x y)) (sqrt y) (* (* (sqrt x) y) (neg (sqrt x))) (* x (- 1 (* x y))) (- 1 (* x y)) (* (sqrt x) y) (/ x (+ (* (+ (* y x) 1) (* y x)) 1)) (+ (* (+ (* y x) 1) (* y x)) 1) (* x (sqrt y)))
6.0ms	x	@	-inf	((* (- 1 (pow (* y x) 3)) (/ x (+ (* (+ (* y x) 1) (* y x)) 1))) (- 1 (pow (* y x) 3)) (pow (* y x) 3) (* y x) (* x (+ (* (sqrt (* (* y y) x)) (sqrt x)) 1)) (* (* x x) y) (* x x) (- x (* (* x x) y)) (* (* (neg x) x) y) (* (neg x) x) (neg x) (* (sqrt y) (neg (* x (sqrt y)))) (* x (- 1 (* x y))) (- 1 (* x y)) (sqrt y) (* (* (sqrt x) y) (neg (sqrt x))) (* x (- 1 (* x y))) (- 1 (* x y)) (* (sqrt x) y) (/ x (+ (* (+ (* y x) 1) (* y x)) 1)) (+ (* (+ (* y x) 1) (* y x)) 1) (* x (sqrt y)))
6.0ms	y	@	-inf	((* (- 1 (pow (* y x) 3)) (/ x (+ (* (+ (* y x) 1) (* y x)) 1))) (- 1 (pow (* y x) 3)) (pow (* y x) 3) (* y x) (* x (+ (* (sqrt (* (* y y) x)) (sqrt x)) 1)) (* (* x x) y) (* x x) (- x (* (* x x) y)) (* (* (neg x) x) y) (* (neg x) x) (neg x) (* (sqrt y) (neg (* x (sqrt y)))) (* x (- 1 (* x y))) (- 1 (* x y)) (sqrt y) (* (* (sqrt x) y) (neg (sqrt x))) (* x (- 1 (* x y))) (- 1 (* x y)) (* (sqrt x) y) (/ x (+ (* (+ (* y x) 1) (* y x)) 1)) (+ (* (+ (* y x) 1) (* y x)) 1) (* x (sqrt y)))
4.0ms	y	@	inf	((* (- 1 (pow (* y x) 3)) (/ x (+ (* (+ (* y x) 1) (* y x)) 1))) (- 1 (pow (* y x) 3)) (pow (* y x) 3) (* y x) (* x (+ (* (sqrt (* (* y y) x)) (sqrt x)) 1)) (* (* x x) y) (* x x) (- x (* (* x x) y)) (* (* (neg x) x) y) (* (neg x) x) (neg x) (* (sqrt y) (neg (* x (sqrt y)))) (* x (- 1 (* x y))) (- 1 (* x y)) (sqrt y) (* (* (sqrt x) y) (neg (sqrt x))) (* x (- 1 (* x y))) (- 1 (* x y)) (* (sqrt x) y) (/ x (+ (* (+ (* y x) 1) (* y x)) 1)) (+ (* (+ (* y x) 1) (* y x)) 1) (* x (sqrt y)))

simplify201.0ms (3.9%)

Memory

-4.0MiB live, 178.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	233	771
1	740	712
2	2279	684
3	7529	684
0	8035	660

Stop Event

1×	iter limit
1×	node limit

Counts

70 → 69

Calls

Call 1

Inputs
x
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* x (- (* -1 (* x (+ (* -1 (pow y 2)) (pow y 2)))) y))))
(* x (+ 1 (* x (- (* x (- (* x (* y (+ (* -1 (pow y 2)) (pow y 2)))) (+ (* -1 (pow y 2)) (pow y 2)))) y))))
1
(+ 1 (* -1 (* (pow x 3) (pow y 3))))
(* (pow x 3) (pow y 3))
(* x y)
(* x (+ 1 (* x y)))
(* (pow x 2) y)
(pow x 2)
(* -1 (* (pow x 2) y))
(* -1 (pow x 2))
(* -1 x)
(* -1 (* x y))
(+ 1 (* -1 (* x y)))
(* (sqrt x) y)
(* x (+ 1 (* x (- (* x (- (* -1 (* x (+ (* -1 (* y (+ (* -1 (pow y 2)) (pow y 2)))) (* -1 (pow y 3))))) (+ (* -1 (pow y 2)) (pow y 2)))) y))))
(+ 1 (* x y))
(+ 1 (* x (+ y (* x (pow y 2)))))
(* x (sqrt y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* -1 (* (pow x 3) (pow y 3)))
(* (pow x 3) (- (/ 1 (pow x 3)) (pow y 3)))
(* (pow x 2) (+ y (/ 1 x)))
(* (pow x 2) (- (/ 1 x) y))
(* x (- (/ 1 x) y))
(/ 1 (* x (pow y 2)))
(/ (- (/ 1 (pow y 2)) (/ 1 (* x (pow y 3)))) x)
(/ (- (+ (/ 1 (* (pow x 3) (pow y 5))) (/ 1 (pow y 2))) (/ 1 (* x (pow y 3)))) x)
(/ (- (+ (/ 1 (* (pow x 3) (pow y 5))) (/ 1 (pow y 2))) (+ (/ 1 (* x (pow y 3))) (/ 1 (* (pow x 4) (pow y 6))))) x)
(* (pow x 2) (pow y 2))
(* (pow x 2) (+ (/ y x) (pow y 2)))
(* (pow x 2) (+ (/ 1 (pow x 2)) (+ (/ y x) (pow y 2))))
(* (pow x 3) (+ (* -1 (pow y 3)) (/ 1 (pow x 3))))
(* -1 (* (pow x 2) (* y (pow (sqrt -1) 2))))
(* (pow x 2) (+ (* -1 (* y (pow (sqrt -1) 2))) (/ 1 x)))
(* x (+ (* -1 y) (/ 1 x)))
(* x (* y (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (/ (- (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x))
(* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 2) (pow y 5))) (/ 1 (pow y 3))) x)) (/ 1 (pow y 2))) x))
(* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 2) (pow y 5))) (+ (/ 1 (* (pow x 3) (pow y 6))) (/ 1 (pow y 3)))) x)) (/ 1 (pow y 2))) x))
(* (pow x 2) (+ (* -1 (/ (- (* -1 y) (/ 1 x)) x)) (pow y 2)))
(+ x (* -1 (* (pow x 2) y)))
(+ x (* y (- (* -1 (* y (+ (* -1 (pow x 3)) (pow x 3)))) (pow x 2))))
(+ x (* y (- (* y (- (* x (* y (+ (* -1 (pow x 3)) (pow x 3)))) (+ (* -1 (pow x 3)) (pow x 3)))) (pow x 2))))
(+ x (* (pow x 2) y))
(sqrt y)
(+ x (* y (- (* y (- (* -1 (* y (+ (* -1 (* x (+ (* -1 (pow x 3)) (pow x 3)))) (* -1 (pow x 4))))) (+ (* -1 (pow x 3)) (pow x 3)))) (pow x 2))))
(+ 1 (* y (+ x (* (pow x 2) y))))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* (pow y 3) (- (/ 1 (pow y 3)) (pow x 3)))
(* y (+ (/ x y) (pow x 2)))
(* y (- (/ x y) (pow x 2)))
(* y (- (/ 1 y) x))
(/ (- (/ 1 x) (/ 1 (* (pow x 2) y))) (pow y 2))
(/ (- (+ (/ 1 x) (/ 1 (* (pow x 4) (pow y 3)))) (/ 1 (* (pow x 2) y))) (pow y 2))
(/ (- (+ (/ 1 x) (/ 1 (* (pow x 4) (pow y 3)))) (+ (/ 1 (* (pow x 2) y)) (/ 1 (* (pow x 5) (pow y 4))))) (pow y 2))
(* (pow y 2) (+ (/ x y) (pow x 2)))
(* (pow y 2) (+ (/ 1 (pow y 2)) (+ (/ x y) (pow x 2))))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* (pow y 3) (+ (* -1 (pow x 3)) (/ 1 (pow y 3))))
(* -1 (* y (- (* -1 (/ x y)) (* -1 (pow x 2)))))
(* y (+ (* -1 x) (/ 1 y)))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(/ (+ (* -1 (/ (- (/ 1 (pow x 2)) (/ 1 (* (pow x 4) (pow y 2)))) y)) (/ 1 x)) (pow y 2))
(/ (+ (* -1 (/ (- (+ (/ 1 (* (pow x 5) (pow y 3))) (/ 1 (pow x 2))) (/ 1 (* (pow x 4) (pow y 2)))) y)) (/ 1 x)) (pow y 2))
(* (pow y 2) (+ (* -1 (/ (- (* -1 x) (/ 1 y)) y)) (pow x 2)))
(* -1 (* (* x (pow (sqrt -1) 2)) (sqrt y)))

Outputs
x
(* x (+ 1 (* -1 (* x y))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x y)) x)
(* x (+ 1 (* x (- (* -1 (* x (+ (* -1 (pow y 2)) (pow y 2)))) y))))
(*.f64 (fma.f64 (-.f64 #s(literal 0 binary64) y) x #s(literal 1 binary64)) x)
(* x (+ 1 (* x (- (* x (- (* x (* y (+ (* -1 (pow y 2)) (pow y 2)))) (+ (* -1 (pow y 2)) (pow y 2)))) y))))
(*.f64 (fma.f64 (-.f64 #s(literal 0 binary64) y) x #s(literal 1 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 (* -1 (* (pow x 3) (pow y 3))))
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))
(* (pow x 3) (pow y 3))
(pow.f64 (*.f64 x y) #s(literal 3 binary64))
(* x y)
(*.f64 x y)
(* x (+ 1 (* x y)))
(*.f64 (fma.f64 x y #s(literal 1 binary64)) x)
(* (pow x 2) y)
(.f64 (.f64 x x) y)
(pow x 2)
(*.f64 x x)
(* -1 (* (pow x 2) y))
(.f64 (neg.f64 x) (.f64 x y))
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(+ 1 (* -1 (* x y)))
(-.f64 #s(literal 1 binary64) (*.f64 x y))
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* x (+ 1 (* x (- (* x (- (* -1 (* x (+ (* -1 (* y (+ (* -1 (pow y 2)) (pow y 2)))) (* -1 (pow y 3))))) (+ (* -1 (pow y 2)) (pow y 2)))) y))))
(fma.f64 (-.f64 (.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) x) x) y) (*.f64 x x) x)
(+ 1 (* x y))
(fma.f64 x y #s(literal 1 binary64))
(+ 1 (* x (+ y (* x (pow y 2)))))
(fma.f64 (*.f64 (fma.f64 x y #s(literal 1 binary64)) x) y #s(literal 1 binary64))
(* x (sqrt y))
(*.f64 (sqrt.f64 y) x)
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x y)) x)
(* -1 (* (pow x 3) (pow y 3)))
(pow.f64 (*.f64 (neg.f64 x) y) #s(literal 3 binary64))
(* (pow x 3) (- (/ 1 (pow x 3)) (pow y 3)))
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))
(* (pow x 2) (+ y (/ 1 x)))
(*.f64 (fma.f64 x y #s(literal 1 binary64)) x)
(* (pow x 2) (- (/ 1 x) y))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x y)) x)
(* x (- (/ 1 x) y))
(-.f64 #s(literal 1 binary64) (*.f64 x y))
(/ 1 (* x (pow y 2)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x)
(/ (- (/ 1 (pow y 2)) (/ 1 (* x (pow y 3)))) x)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) y)) (*.f64 y y))
(/ (- (+ (/ 1 (* (pow x 3) (pow y 5))) (/ 1 (pow y 2))) (/ 1 (* x (pow y 3)))) x)
(+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) y)) (*.f64 y y)))
(/ (- (+ (/ 1 (* (pow x 3) (pow y 5))) (/ 1 (pow y 2))) (+ (/ 1 (* x (pow y 3))) (/ 1 (* (pow x 4) (pow y 6))))) x)
(-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) y)) (*.f64 y y))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 5 binary64))))
(* (pow x 2) (pow y 2))
(.f64 (.f64 (*.f64 x x) y) y)
(* (pow x 2) (+ (/ y x) (pow y 2)))
(.f64 (.f64 (fma.f64 x y #s(literal 1 binary64)) x) y)
(* (pow x 2) (+ (/ 1 (pow x 2)) (+ (/ y x) (pow y 2))))
(fma.f64 (*.f64 (fma.f64 x y #s(literal 1 binary64)) x) y #s(literal 1 binary64))
(* (pow x 3) (+ (* -1 (pow y 3)) (/ 1 (pow x 3))))
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))
(* -1 (* (pow x 2) (* y (pow (sqrt -1) 2))))
(.f64 (.f64 x x) y)
(* (pow x 2) (+ (* -1 (* y (pow (sqrt -1) 2))) (/ 1 x)))
(*.f64 (fma.f64 x y #s(literal 1 binary64)) x)
(* x (+ (* -1 y) (/ 1 x)))
(-.f64 #s(literal 1 binary64) (*.f64 x y))
(* x (* y (pow (sqrt -1) 2)))
(*.f64 (neg.f64 x) y)
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 x) y)
(* -1 (/ (- (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x))
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) x) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (neg.f64 x))
(* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 2) (pow y 5))) (/ 1 (pow y 3))) x)) (/ 1 (pow y 2))) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64))) x) x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (neg.f64 x))
(* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 2) (pow y 5))) (+ (/ 1 (* (pow x 3) (pow y 6))) (/ 1 (pow y 3)))) x)) (/ 1 (pow y 2))) x))
(/.f64 (-.f64 (/.f64 (-.f64 (-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64))) x) x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (neg.f64 x))
(* (pow x 2) (+ (* -1 (/ (- (* -1 y) (/ 1 x)) x)) (pow y 2)))
(fma.f64 (*.f64 (fma.f64 x y #s(literal 1 binary64)) x) y #s(literal 1 binary64))
(+ x (* -1 (* (pow x 2) y)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x y)) x)
(+ x (* y (- (* -1 (* y (+ (* -1 (pow x 3)) (pow x 3)))) (pow x 2))))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) y x)
(+ x (* y (- (* y (- (* x (* y (+ (* -1 (pow x 3)) (pow x 3)))) (+ (* -1 (pow x 3)) (pow x 3)))) (pow x 2))))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) y x)
(+ x (* (pow x 2) y))
(*.f64 (fma.f64 x y #s(literal 1 binary64)) x)
(sqrt y)
(sqrt.f64 y)
(+ x (* y (- (* y (- (* -1 (* y (+ (* -1 (* x (+ (* -1 (pow x 3)) (pow x 3)))) (* -1 (pow x 4))))) (+ (* -1 (pow x 3)) (pow x 3)))) (pow x 2))))
(fma.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) y) y (.f64 (neg.f64 x) x)) y x)
(+ 1 (* y (+ x (* (pow x 2) y))))
(fma.f64 (*.f64 (fma.f64 x y #s(literal 1 binary64)) x) y #s(literal 1 binary64))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x y)) x)
(* (pow y 3) (- (/ 1 (pow y 3)) (pow x 3)))
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))
(* y (+ (/ x y) (pow x 2)))
(*.f64 (fma.f64 x y #s(literal 1 binary64)) x)
(* y (- (/ x y) (pow x 2)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x y)) x)
(* y (- (/ 1 y) x))
(-.f64 #s(literal 1 binary64) (*.f64 x y))
(/ (- (/ 1 x) (/ 1 (* (pow x 2) y))) (pow y 2))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) y)) (*.f64 y y))
(/ (- (+ (/ 1 x) (/ 1 (* (pow x 4) (pow y 3)))) (/ 1 (* (pow x 2) y))) (pow y 2))
(/.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) y)) (*.f64 y y))
(/ (- (+ (/ 1 x) (/ 1 (* (pow x 4) (pow y 3)))) (+ (/ 1 (* (pow x 2) y)) (/ 1 (* (pow x 5) (pow y 4))))) (pow y 2))
(/.f64 (-.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 3 binary64))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) y)) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal 1 binary64) x))) (*.f64 y y))
(* (pow y 2) (+ (/ x y) (pow x 2)))
(.f64 (.f64 (fma.f64 x y #s(literal 1 binary64)) x) y)
(* (pow y 2) (+ (/ 1 (pow y 2)) (+ (/ x y) (pow x 2))))
(fma.f64 (*.f64 (fma.f64 x y #s(literal 1 binary64)) x) y #s(literal 1 binary64))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x y)) x)
(* (pow y 3) (+ (* -1 (pow x 3)) (/ 1 (pow y 3))))
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))
(* -1 (* y (- (* -1 (/ x y)) (* -1 (pow x 2)))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x y)) x)
(* y (+ (* -1 x) (/ 1 y)))
(-.f64 #s(literal 1 binary64) (*.f64 x y))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(sqrt.f64 y)
(/ (+ (* -1 (/ (- (/ 1 (pow x 2)) (/ 1 (* (pow x 4) (pow y 2)))) y)) (/ 1 x)) (pow y 2))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) y) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 3 binary64))))) (*.f64 y y))
(/ (+ (* -1 (/ (- (+ (/ 1 (* (pow x 5) (pow y 3))) (/ 1 (pow x 2))) (/ 1 (* (pow x 4) (pow y 2)))) y)) (/ 1 x)) (pow y 2))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 y #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) y) y)) y)) (*.f64 y y))
(* (pow y 2) (+ (* -1 (/ (- (* -1 x) (/ 1 y)) y)) (pow x 2)))
(.f64 (.f64 (fma.f64 x x (/.f64 (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y)) (neg.f64 y))) y) y)
(* -1 (* (* x (pow (sqrt -1) 2)) (sqrt y)))
(*.f64 (sqrt.f64 y) x)

rewrite209.0ms (4%)

Memory

5.7MiB live, 204.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	193
0	65	185
1	214	169
2	1260	149
0	9111	148

Stop Event

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

Counts

22 → 611

Calls

Call 1

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

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

eval128.0ms (2.5%)

Memory: -6.6MiB live, 176.8MiB allocated
Compiler: Compiled 16 826 to 2 081 computations (87.6% saved)

prune16.0ms (0.3%)

Memory

-8.7MiB live, 53.9MiB allocated

Pruning

11 alts after pruning (3 fresh and 8 done)

	Pruned	Kept	Total
New	581	1	582
Fresh	0	2	2
Picked	1	4	5
Done	0	4	4
Total	582	11	593

Accuracy

100.0%

Counts

593 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	59.6%	(fma.f64 (.f64 (neg.f64 x) (sqrt.f64 (.f64 y x))) (sqrt.f64 (*.f64 y x)) x)
✓	91.2%	(-.f64 x (.f64 (.f64 x x) y))
▶	57.4%	(-.f64 x (sqrt.f64 (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) y) y)))
▶	15.2%	(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (/.f64 x #s(approx (+ (* (+ (* y x) 1) (* y x)) 1) (.f64 (.f64 (fma.f64 x y #s(literal 1 binary64)) x) y))))
✓	99.9%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))
✓	28.8%	(.f64 x #s(approx (- 1 ( x y)) (.f64 (.f64 (sqrt.f64 x) y) (neg.f64 (sqrt.f64 x)))))
✓	28.0%	(.f64 x #s(approx (- 1 ( x y)) (.f64 (sqrt.f64 y) (neg.f64 (.f64 x (sqrt.f64 y))))))
✓	54.4%	(.f64 x #s(approx (- 1 ( x y)) (*.f64 (neg.f64 x) y)))
✓	47.7%	(.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64)))
✓	49.8%	#s(approx (- x (* (* x x) y)) (.f64 (.f64 (neg.f64 x) x) y))
✓	3.0%	#s(approx (* x (+ (* (sqrt (* (* y y) x)) (sqrt x)) 1)) (.f64 (.f64 x x) y))

Compiler

Compiled 153 to 105 computations (31.4% saved)

simplify144.0ms (2.8%)

Memory

22.9MiB live, 152.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 (*.f64 y x))
cost-diff	0	(neg.f64 x)
cost-diff	0	(.f64 (neg.f64 x) (sqrt.f64 (.f64 y x)))
cost-diff	6	(fma.f64 (.f64 (neg.f64 x) (sqrt.f64 (.f64 y x))) (sqrt.f64 (*.f64 y x)) x)
cost-diff	0	(*.f64 (pow.f64 x #s(literal 4 binary64)) y)
cost-diff	0	(.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) y) y)
cost-diff	0	(sqrt.f64 (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) y) y))
cost-diff	0	(-.f64 x (sqrt.f64 (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) y) y)))
cost-diff	0	(*.f64 y x)
cost-diff	0	(pow.f64 (*.f64 y x) #s(literal 3 binary64))
cost-diff	0	(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))
cost-diff	0	(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (/.f64 x #s(approx (+ (* (+ (* y x) 1) (* y x)) 1) (.f64 (.f64 (fma.f64 x y #s(literal 1 binary64)) x) y))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	176
0	47	173
1	82	167
2	183	167
3	654	167
4	1811	167
5	3344	167
6	5335	167
7	6024	167
8	6350	167
9	6866	167
10	7945	167
0	8289	164

Stop Event

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

Calls

Call 1

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

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

localize96.0ms (1.9%)

Memory

-36.2MiB live, 217.4MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.0	(neg.f64 x)
accuracy	0.04296875	(fma.f64 (.f64 (neg.f64 x) (sqrt.f64 (.f64 y x))) (sqrt.f64 (*.f64 y x)) x)
accuracy	0.09765625	(.f64 (neg.f64 x) (sqrt.f64 (.f64 y x)))
accuracy	8.25959171310268	(sqrt.f64 (*.f64 y x))
accuracy	0.0	(-.f64 x (sqrt.f64 (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) y) y)))
accuracy	2.3995017334860433	(.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) y) y)
accuracy	3.0003582844878687	(*.f64 (pow.f64 x #s(literal 4 binary64)) y)
accuracy	7.882523327106822	(sqrt.f64 (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) y) y))
accuracy	0.5128532928737292	(.f64 (.f64 (fma.f64 x y #s(literal 1 binary64)) x) y)
accuracy	2.3531726072770596	(/.f64 x #s(approx (+ (* (+ (* y x) 1) (* y x)) 1) (.f64 (.f64 (fma.f64 x y #s(literal 1 binary64)) x) y)))
accuracy	10.408968344185322	(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (/.f64 x #s(approx (+ (* (+ (* y x) 1) (* y x)) 1) (.f64 (.f64 (fma.f64 x y #s(literal 1 binary64)) x) y))))
accuracy	15.054749189207403	#s(approx (+ (* (+ (* y x) 1) (* y x)) 1) (.f64 (.f64 (fma.f64 x y #s(literal 1 binary64)) x) y))

Samples

33.0ms	118×	0	invalid
31.0ms	138×	0	valid

Compiler

Compiled 155 to 29 computations (81.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-mult: 16.0ms (40.3% of total)

ival-pow: 8.0ms (20.2% of total)

ival-add: 7.0ms (17.7% of total)

ival-sqrt: 3.0ms (7.6% of total)

ival-div: 2.0ms (5% of total)

ival-sub: 2.0ms (5% of total)

ival-neg: 1.0ms (2.5% of total)

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

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

exact: 0.0ms (0% of total)

series24.0ms (0.5%)

Memory

16.0MiB live, 16.0MiB allocated

Counts

15 → 60

Calls

Call 1

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

Outputs
x
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* x (- (* -1 (* x (+ (* -1 (pow y 2)) (pow y 2)))) y))))
(* x (+ 1 (* x (- (* x (- (* x (* y (+ (* -1 (pow y 2)) (pow y 2)))) (+ (* -1 (pow y 2)) (pow y 2)))) y))))
1
(+ 1 (* -1 (* (pow x 3) (pow y 3))))
(* (pow x 3) (pow y 3))
(* x y)
(* (pow x 2) y)
(* (pow x 4) (pow y 2))
(* (pow x 4) y)
(* -1 (sqrt (* (pow x 3) y)))
(* -1 x)
(sqrt (* x y))
(+ 1 (* x y))
(+ 1 (* x (+ y (* x (pow y 2)))))
(* x (+ 1 (* x (- (* x (- (* -1 (* x (+ (* -1 (* y (+ (* -1 (pow y 2)) (pow y 2)))) (* -1 (pow y 3))))) (+ (* -1 (pow y 2)) (pow y 2)))) y))))
(* x (+ y (* x (pow y 2))))
(* -1 (* (pow x 2) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* -1 (* (pow x 3) (pow y 3)))
(* (pow x 3) (- (/ 1 (pow x 3)) (pow y 3)))
(* (pow x 2) (- (/ 1 x) y))
(* (pow x 2) (pow y 2))
(* (pow x 2) (+ (/ y x) (pow y 2)))
(* (pow x 2) (+ (/ 1 (pow x 2)) (+ (/ y x) (pow y 2))))
(/ 1 (* x (pow y 2)))
(/ (- (/ 1 (pow y 2)) (/ 1 (* x (pow y 3)))) x)
(/ (- (+ (/ 1 (* (pow x 3) (pow y 5))) (/ 1 (pow y 2))) (/ 1 (* x (pow y 3)))) x)
(/ (- (+ (/ 1 (* (pow x 3) (pow y 5))) (/ 1 (pow y 2))) (+ (/ 1 (* x (pow y 3))) (/ 1 (* (pow x 4) (pow y 6))))) x)
(* (pow x 3) (+ (* -1 (pow y 3)) (/ 1 (pow x 3))))
(* (pow x 2) (* y (pow (sqrt -1) 2)))
(* (pow x 2) (+ (* y (pow (sqrt -1) 2)) (/ 1 x)))
(* (sqrt (* (pow x 3) y)) (pow (sqrt -1) 2))
(* -1 (* (sqrt (* x y)) (pow (sqrt -1) 2)))
(* (pow x 2) (+ (* -1 (/ (- (* -1 y) (/ 1 x)) x)) (pow y 2)))
(* -1 (/ (- (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x))
(* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 2) (pow y 5))) (/ 1 (pow y 3))) x)) (/ 1 (pow y 2))) x))
(* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 2) (pow y 5))) (+ (/ 1 (* (pow x 3) (pow y 6))) (/ 1 (pow y 3)))) x)) (/ 1 (pow y 2))) x))
(+ x (* -1 (* (pow x 2) y)))
(+ x (* y (- (* -1 (* y (+ (* -1 (pow x 3)) (pow x 3)))) (pow x 2))))
(+ x (* y (- (* y (- (* x (* y (+ (* -1 (pow x 3)) (pow x 3)))) (+ (* -1 (pow x 3)) (pow x 3)))) (pow x 2))))
(+ 1 (* y (+ x (* (pow x 2) y))))
(+ x (* y (- (* y (- (* -1 (* y (+ (* -1 (* x (+ (* -1 (pow x 3)) (pow x 3)))) (* -1 (pow x 4))))) (+ (* -1 (pow x 3)) (pow x 3)))) (pow x 2))))
(* y (+ x (* (pow x 2) y)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* (pow y 3) (- (/ 1 (pow y 3)) (pow x 3)))
(* y (- (/ x y) (pow x 2)))
(* (pow y 2) (+ (/ x y) (pow x 2)))
(* (pow y 2) (+ (/ 1 (pow y 2)) (+ (/ x y) (pow x 2))))
(/ (- (/ 1 x) (/ 1 (* (pow x 2) y))) (pow y 2))
(/ (- (+ (/ 1 x) (/ 1 (* (pow x 4) (pow y 3)))) (/ 1 (* (pow x 2) y))) (pow y 2))
(/ (- (+ (/ 1 x) (/ 1 (* (pow x 4) (pow y 3)))) (+ (/ 1 (* (pow x 2) y)) (/ 1 (* (pow x 5) (pow y 4))))) (pow y 2))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* (pow y 3) (+ (* -1 (pow x 3)) (/ 1 (pow y 3))))
(* -1 (* y (- (* -1 (/ x y)) (pow x 2))))
(* -1 (* y (+ (* -1 (* (pow x 2) (pow (sqrt -1) 2))) (* -1 (/ x y)))))
(* (pow y 2) (+ (* -1 (/ (- (* -1 x) (/ 1 y)) y)) (pow x 2)))
(/ (+ (* -1 (/ (- (/ 1 (pow x 2)) (/ 1 (* (pow x 4) (pow y 2)))) y)) (/ 1 x)) (pow y 2))
(/ (+ (* -1 (/ (- (+ (/ 1 (* (pow x 5) (pow y 3))) (/ 1 (pow x 2))) (/ 1 (* (pow x 4) (pow y 2)))) y)) (/ 1 x)) (pow y 2))

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	y	@	-inf	((* (- 1 (pow (* y x) 3)) (/ x (+ (* (+ (* y x) 1) (* y x)) 1))) (- 1 (pow (* y x) 3)) (pow (* y x) 3) (* y x) (- x (sqrt (* (* (pow x 4) y) y))) (sqrt (* (* (pow x 4) y) y)) (* (* (pow x 4) y) y) (* (pow x 4) y) (+ (* (* (neg x) (sqrt (* y x))) (sqrt (* y x))) x) (* (neg x) (sqrt (* y x))) (neg x) (sqrt (* y x)) (+ (* (+ (* y x) 1) (* y x)) 1) (/ x (+ (* (+ (* y x) 1) (* y x)) 1)) (* (* (+ (* x y) 1) x) y))
4.0ms	x	@	-inf	((* (- 1 (pow (* y x) 3)) (/ x (+ (* (+ (* y x) 1) (* y x)) 1))) (- 1 (pow (* y x) 3)) (pow (* y x) 3) (* y x) (- x (sqrt (* (* (pow x 4) y) y))) (sqrt (* (* (pow x 4) y) y)) (* (* (pow x 4) y) y) (* (pow x 4) y) (+ (* (* (neg x) (sqrt (* y x))) (sqrt (* y x))) x) (* (neg x) (sqrt (* y x))) (neg x) (sqrt (* y x)) (+ (* (+ (* y x) 1) (* y x)) 1) (/ x (+ (* (+ (* y x) 1) (* y x)) 1)) (* (* (+ (* x y) 1) x) y))
3.0ms	x	@	inf	((* (- 1 (pow (* y x) 3)) (/ x (+ (* (+ (* y x) 1) (* y x)) 1))) (- 1 (pow (* y x) 3)) (pow (* y x) 3) (* y x) (- x (sqrt (* (* (pow x 4) y) y))) (sqrt (* (* (pow x 4) y) y)) (* (* (pow x 4) y) y) (* (pow x 4) y) (+ (* (* (neg x) (sqrt (* y x))) (sqrt (* y x))) x) (* (neg x) (sqrt (* y x))) (neg x) (sqrt (* y x)) (+ (* (+ (* y x) 1) (* y x)) 1) (/ x (+ (* (+ (* y x) 1) (* y x)) 1)) (* (* (+ (* x y) 1) x) y))
3.0ms	y	@	0	((* (- 1 (pow (* y x) 3)) (/ x (+ (* (+ (* y x) 1) (* y x)) 1))) (- 1 (pow (* y x) 3)) (pow (* y x) 3) (* y x) (- x (sqrt (* (* (pow x 4) y) y))) (sqrt (* (* (pow x 4) y) y)) (* (* (pow x 4) y) y) (* (pow x 4) y) (+ (* (* (neg x) (sqrt (* y x))) (sqrt (* y x))) x) (* (neg x) (sqrt (* y x))) (neg x) (sqrt (* y x)) (+ (* (+ (* y x) 1) (* y x)) 1) (/ x (+ (* (+ (* y x) 1) (* y x)) 1)) (* (* (+ (* x y) 1) x) y))
3.0ms	y	@	inf	((* (- 1 (pow (* y x) 3)) (/ x (+ (* (+ (* y x) 1) (* y x)) 1))) (- 1 (pow (* y x) 3)) (pow (* y x) 3) (* y x) (- x (sqrt (* (* (pow x 4) y) y))) (sqrt (* (* (pow x 4) y) y)) (* (* (pow x 4) y) y) (* (pow x 4) y) (+ (* (* (neg x) (sqrt (* y x))) (sqrt (* y x))) x) (* (neg x) (sqrt (* y x))) (neg x) (sqrt (* y x)) (+ (* (+ (* y x) 1) (* y x)) 1) (/ x (+ (* (+ (* y x) 1) (* y x)) 1)) (* (* (+ (* x y) 1) x) y))

simplify169.0ms (3.3%)

Memory

21.6MiB live, 211.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	222	761
1	688	703
2	2173	675
3	6340	675
0	8051	655

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 59

Calls

Call 1

Inputs
x
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* x (- (* -1 (* x (+ (* -1 (pow y 2)) (pow y 2)))) y))))
(* x (+ 1 (* x (- (* x (- (* x (* y (+ (* -1 (pow y 2)) (pow y 2)))) (+ (* -1 (pow y 2)) (pow y 2)))) y))))
1
(+ 1 (* -1 (* (pow x 3) (pow y 3))))
(* (pow x 3) (pow y 3))
(* x y)
(* (pow x 2) y)
(* (pow x 4) (pow y 2))
(* (pow x 4) y)
(* -1 (sqrt (* (pow x 3) y)))
(* -1 x)
(sqrt (* x y))
(+ 1 (* x y))
(+ 1 (* x (+ y (* x (pow y 2)))))
(* x (+ 1 (* x (- (* x (- (* -1 (* x (+ (* -1 (* y (+ (* -1 (pow y 2)) (pow y 2)))) (* -1 (pow y 3))))) (+ (* -1 (pow y 2)) (pow y 2)))) y))))
(* x (+ y (* x (pow y 2))))
(* -1 (* (pow x 2) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* -1 (* (pow x 3) (pow y 3)))
(* (pow x 3) (- (/ 1 (pow x 3)) (pow y 3)))
(* (pow x 2) (- (/ 1 x) y))
(* (pow x 2) (pow y 2))
(* (pow x 2) (+ (/ y x) (pow y 2)))
(* (pow x 2) (+ (/ 1 (pow x 2)) (+ (/ y x) (pow y 2))))
(/ 1 (* x (pow y 2)))
(/ (- (/ 1 (pow y 2)) (/ 1 (* x (pow y 3)))) x)
(/ (- (+ (/ 1 (* (pow x 3) (pow y 5))) (/ 1 (pow y 2))) (/ 1 (* x (pow y 3)))) x)
(/ (- (+ (/ 1 (* (pow x 3) (pow y 5))) (/ 1 (pow y 2))) (+ (/ 1 (* x (pow y 3))) (/ 1 (* (pow x 4) (pow y 6))))) x)
(* (pow x 3) (+ (* -1 (pow y 3)) (/ 1 (pow x 3))))
(* (pow x 2) (* y (pow (sqrt -1) 2)))
(* (pow x 2) (+ (* y (pow (sqrt -1) 2)) (/ 1 x)))
(* (sqrt (* (pow x 3) y)) (pow (sqrt -1) 2))
(* -1 (* (sqrt (* x y)) (pow (sqrt -1) 2)))
(* (pow x 2) (+ (* -1 (/ (- (* -1 y) (/ 1 x)) x)) (pow y 2)))
(* -1 (/ (- (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x))
(* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 2) (pow y 5))) (/ 1 (pow y 3))) x)) (/ 1 (pow y 2))) x))
(* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 2) (pow y 5))) (+ (/ 1 (* (pow x 3) (pow y 6))) (/ 1 (pow y 3)))) x)) (/ 1 (pow y 2))) x))
(+ x (* -1 (* (pow x 2) y)))
(+ x (* y (- (* -1 (* y (+ (* -1 (pow x 3)) (pow x 3)))) (pow x 2))))
(+ x (* y (- (* y (- (* x (* y (+ (* -1 (pow x 3)) (pow x 3)))) (+ (* -1 (pow x 3)) (pow x 3)))) (pow x 2))))
(+ 1 (* y (+ x (* (pow x 2) y))))
(+ x (* y (- (* y (- (* -1 (* y (+ (* -1 (* x (+ (* -1 (pow x 3)) (pow x 3)))) (* -1 (pow x 4))))) (+ (* -1 (pow x 3)) (pow x 3)))) (pow x 2))))
(* y (+ x (* (pow x 2) y)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* (pow y 3) (- (/ 1 (pow y 3)) (pow x 3)))
(* y (- (/ x y) (pow x 2)))
(* (pow y 2) (+ (/ x y) (pow x 2)))
(* (pow y 2) (+ (/ 1 (pow y 2)) (+ (/ x y) (pow x 2))))
(/ (- (/ 1 x) (/ 1 (* (pow x 2) y))) (pow y 2))
(/ (- (+ (/ 1 x) (/ 1 (* (pow x 4) (pow y 3)))) (/ 1 (* (pow x 2) y))) (pow y 2))
(/ (- (+ (/ 1 x) (/ 1 (* (pow x 4) (pow y 3)))) (+ (/ 1 (* (pow x 2) y)) (/ 1 (* (pow x 5) (pow y 4))))) (pow y 2))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* (pow y 3) (+ (* -1 (pow x 3)) (/ 1 (pow y 3))))
(* -1 (* y (- (* -1 (/ x y)) (pow x 2))))
(* -1 (* y (+ (* -1 (* (pow x 2) (pow (sqrt -1) 2))) (* -1 (/ x y)))))
(* (pow y 2) (+ (* -1 (/ (- (* -1 x) (/ 1 y)) y)) (pow x 2)))
(/ (+ (* -1 (/ (- (/ 1 (pow x 2)) (/ 1 (* (pow x 4) (pow y 2)))) y)) (/ 1 x)) (pow y 2))
(/ (+ (* -1 (/ (- (+ (/ 1 (* (pow x 5) (pow y 3))) (/ 1 (pow x 2))) (/ 1 (* (pow x 4) (pow y 2)))) y)) (/ 1 x)) (pow y 2))

Outputs
x
(* x (+ 1 (* -1 (* x y))))
(fma.f64 (neg.f64 y) (*.f64 x x) x)
(* x (+ 1 (* x (- (* -1 (* x (+ (* -1 (pow y 2)) (pow y 2)))) y))))
(*.f64 (fma.f64 (-.f64 #s(literal 0 binary64) y) x #s(literal 1 binary64)) x)
(* x (+ 1 (* x (- (* x (- (* x (* y (+ (* -1 (pow y 2)) (pow y 2)))) (+ (* -1 (pow y 2)) (pow y 2)))) y))))
(*.f64 (fma.f64 (-.f64 #s(literal 0 binary64) y) x #s(literal 1 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 (* -1 (* (pow x 3) (pow y 3))))
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))
(* (pow x 3) (pow y 3))
(pow.f64 (*.f64 x y) #s(literal 3 binary64))
(* x y)
(*.f64 x y)
(* (pow x 2) y)
(.f64 (.f64 x x) y)
(* (pow x 4) (pow y 2))
(.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) y) y)
(* (pow x 4) y)
(*.f64 (pow.f64 x #s(literal 4 binary64)) y)
(* -1 (sqrt (* (pow x 3) y)))
(neg.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y)))
(* -1 x)
(neg.f64 x)
(sqrt (* x y))
(sqrt.f64 (*.f64 x y))
(+ 1 (* x y))
(fma.f64 x y #s(literal 1 binary64))
(+ 1 (* x (+ y (* x (pow y 2)))))
(fma.f64 (fma.f64 (*.f64 x x) y x) y #s(literal 1 binary64))
(* x (+ 1 (* x (- (* x (- (* -1 (* x (+ (* -1 (* y (+ (* -1 (pow y 2)) (pow y 2)))) (* -1 (pow y 3))))) (+ (* -1 (pow y 2)) (pow y 2)))) y))))
(fma.f64 (-.f64 (.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) x) x) y) (*.f64 x x) x)
(* x (+ y (* x (pow y 2))))
(.f64 (fma.f64 (.f64 x x) y x) y)
(* -1 (* (pow x 2) y))
(.f64 (neg.f64 x) (.f64 x y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(fma.f64 (neg.f64 y) (*.f64 x x) x)
(* -1 (* (pow x 3) (pow y 3)))
(pow.f64 (*.f64 (neg.f64 x) y) #s(literal 3 binary64))
(* (pow x 3) (- (/ 1 (pow x 3)) (pow y 3)))
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))
(* (pow x 2) (- (/ 1 x) y))
(fma.f64 (neg.f64 y) (*.f64 x x) x)
(* (pow x 2) (pow y 2))
(.f64 (.f64 (*.f64 x x) y) y)
(* (pow x 2) (+ (/ y x) (pow y 2)))
(.f64 (fma.f64 (.f64 x x) y x) y)
(* (pow x 2) (+ (/ 1 (pow x 2)) (+ (/ y x) (pow y 2))))
(fma.f64 (fma.f64 (*.f64 x x) y x) y #s(literal 1 binary64))
(/ 1 (* x (pow y 2)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x)
(/ (- (/ 1 (pow y 2)) (/ 1 (* x (pow y 3)))) x)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) y)) (*.f64 y y))
(/ (- (+ (/ 1 (* (pow x 3) (pow y 5))) (/ 1 (pow y 2))) (/ 1 (* x (pow y 3)))) x)
(+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) y)) (*.f64 y y)))
(/ (- (+ (/ 1 (* (pow x 3) (pow y 5))) (/ 1 (pow y 2))) (+ (/ 1 (* x (pow y 3))) (/ 1 (* (pow x 4) (pow y 6))))) x)
(-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) y)) (*.f64 y y))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 5 binary64))))
(* (pow x 3) (+ (* -1 (pow y 3)) (/ 1 (pow x 3))))
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))
(* (pow x 2) (* y (pow (sqrt -1) 2)))
(.f64 (neg.f64 x) (.f64 x y))
(* (pow x 2) (+ (* y (pow (sqrt -1) 2)) (/ 1 x)))
(fma.f64 (neg.f64 y) (*.f64 x x) x)
(* (sqrt (* (pow x 3) y)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y)))
(* -1 (* (sqrt (* x y)) (pow (sqrt -1) 2)))
(sqrt.f64 (*.f64 x y))
(* (pow x 2) (+ (* -1 (/ (- (* -1 y) (/ 1 x)) x)) (pow y 2)))
(.f64 (.f64 (fma.f64 y y (/.f64 (-.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x))) x) x)
(* -1 (/ (- (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x))
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) x) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (neg.f64 x))
(* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 2) (pow y 5))) (/ 1 (pow y 3))) x)) (/ 1 (pow y 2))) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64))) x) x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (neg.f64 x))
(* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 2) (pow y 5))) (+ (/ 1 (* (pow x 3) (pow y 6))) (/ 1 (pow y 3)))) x)) (/ 1 (pow y 2))) x))
(/.f64 (-.f64 (/.f64 (-.f64 (-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64))) x) x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (neg.f64 x))
(+ x (* -1 (* (pow x 2) y)))
(fma.f64 (neg.f64 y) (*.f64 x x) x)
(+ x (* y (- (* -1 (* y (+ (* -1 (pow x 3)) (pow x 3)))) (pow x 2))))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) y x)
(+ x (* y (- (* y (- (* x (* y (+ (* -1 (pow x 3)) (pow x 3)))) (+ (* -1 (pow x 3)) (pow x 3)))) (pow x 2))))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) y x)
(+ 1 (* y (+ x (* (pow x 2) y))))
(fma.f64 (fma.f64 (*.f64 x x) y x) y #s(literal 1 binary64))
(+ x (* y (- (* y (- (* -1 (* y (+ (* -1 (* x (+ (* -1 (pow x 3)) (pow x 3)))) (* -1 (pow x 4))))) (+ (* -1 (pow x 3)) (pow x 3)))) (pow x 2))))
(fma.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) y) y)) y x)
(* y (+ x (* (pow x 2) y)))
(.f64 (fma.f64 (.f64 x x) y x) y)
(* y (+ (* -1 (pow x 2)) (/ x y)))
(*.f64 (fma.f64 (neg.f64 x) x (/.f64 x y)) y)
(* (pow y 3) (- (/ 1 (pow y 3)) (pow x 3)))
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))
(* y (- (/ x y) (pow x 2)))
(*.f64 (fma.f64 (neg.f64 x) x (/.f64 x y)) y)
(* (pow y 2) (+ (/ x y) (pow x 2)))
(.f64 (.f64 (fma.f64 x x (/.f64 x y)) y) y)
(* (pow y 2) (+ (/ 1 (pow y 2)) (+ (/ x y) (pow x 2))))
(fma.f64 (*.f64 (fma.f64 x x (/.f64 x y)) y) y #s(literal 1 binary64))
(/ (- (/ 1 x) (/ 1 (* (pow x 2) y))) (pow y 2))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) y)) (*.f64 y y))
(/ (- (+ (/ 1 x) (/ 1 (* (pow x 4) (pow y 3)))) (/ 1 (* (pow x 2) y))) (pow y 2))
(/.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) y)) (*.f64 y y))
(/ (- (+ (/ 1 x) (/ 1 (* (pow x 4) (pow y 3)))) (+ (/ 1 (* (pow x 2) y)) (/ 1 (* (pow x 5) (pow y 4))))) (pow y 2))
(/.f64 (-.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 3 binary64))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) y)) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal 1 binary64) x))) (*.f64 y y))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(*.f64 (fma.f64 (neg.f64 x) x (/.f64 x y)) y)
(* (pow y 3) (+ (* -1 (pow x 3)) (/ 1 (pow y 3))))
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))
(* -1 (* y (- (* -1 (/ x y)) (pow x 2))))
(*.f64 (fma.f64 x x (/.f64 x y)) y)
(* -1 (* y (+ (* -1 (* (pow x 2) (pow (sqrt -1) 2))) (* -1 (/ x y)))))
(*.f64 (fma.f64 (neg.f64 x) x (/.f64 x y)) y)
(* (pow y 2) (+ (* -1 (/ (- (* -1 x) (/ 1 y)) y)) (pow x 2)))
(.f64 (.f64 (fma.f64 x x (/.f64 (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y)) (neg.f64 y))) y) y)
(/ (+ (* -1 (/ (- (/ 1 (pow x 2)) (/ 1 (* (pow x 4) (pow y 2)))) y)) (/ 1 x)) (pow y 2))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) y) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 3 binary64))))) (*.f64 y y))
(/ (+ (* -1 (/ (- (+ (/ 1 (* (pow x 5) (pow y 3))) (/ 1 (pow x 2))) (/ 1 (* (pow x 4) (pow y 2)))) y)) (/ 1 x)) (pow y 2))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 y #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) y) y)) y)) (*.f64 y y))

rewrite159.0ms (3.1%)

Memory

-0.7MiB live, 234.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	151
0	47	145
1	171	145
2	1064	136
0	8635	133

Stop Event

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

Counts

15 → 521

Calls

Call 1

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

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

eval86.0ms (1.7%)

Memory: -9.3MiB live, 132.4MiB allocated
Compiler: Compiled 17 186 to 2 017 computations (88.3% saved)

prune41.0ms (0.8%)

Memory

-5.8MiB live, 41.2MiB allocated

Pruning

11 alts after pruning (1 fresh and 10 done)

	Pruned	Kept	Total
New	600	1	601
Fresh	0	0	0
Picked	1	2	3
Done	0	8	8
Total	601	11	612

Accuracy

100.0%

Counts

612 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	59.6%	(fma.f64 (.f64 (neg.f64 x) (sqrt.f64 (.f64 y x))) (sqrt.f64 (*.f64 y x)) x)
✓	91.2%	(-.f64 x (.f64 (.f64 x x) y))
✓	57.4%	(-.f64 x (sqrt.f64 (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) y) y)))
	15.0%	(.f64 #s(approx (- 1 (pow ( y x) 3)) (pow.f64 (.f64 (neg.f64 x) y) #s(literal 3 binary64))) (/.f64 x #s(approx (+ ( (+ (* y x) 1) (* y x)) 1) (.f64 (.f64 (fma.f64 x y #s(literal 1 binary64)) x) y))))
✓	99.9%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))
✓	28.8%	(.f64 x #s(approx (- 1 ( x y)) (.f64 (.f64 (sqrt.f64 x) y) (neg.f64 (sqrt.f64 x)))))
✓	28.0%	(.f64 x #s(approx (- 1 ( x y)) (.f64 (sqrt.f64 y) (neg.f64 (.f64 x (sqrt.f64 y))))))
✓	54.4%	(.f64 x #s(approx (- 1 ( x y)) (*.f64 (neg.f64 x) y)))
✓	47.7%	(.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64)))
✓	49.8%	#s(approx (- x (* (* x x) y)) (.f64 (.f64 (neg.f64 x) x) y))
✓	3.0%	#s(approx (* x (+ (* (sqrt (* (* y y) x)) (sqrt x)) 1)) (.f64 (.f64 x x) y))

Compiler

Compiled 407 to 198 computations (51.4% saved)

regimes14.0ms (0.3%)

Memory

29.9MiB live, 29.9MiB allocated

Counts

16 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes9.0ms (0.2%)

Memory

-30.0MiB live, 14.5MiB allocated

Counts

4 → 3

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	y
2.0ms	x
2.0ms	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))

Results

Accuracy	Segments	Branch
82.9%	3	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))`
76.2%	3	`x`
79.4%	3	`y`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes2.0ms (0%)

Memory

5.0MiB live, 5.0MiB allocated

Counts

3 → 3

Calls

Call 1

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

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

Calls

1 calls:

1.0ms

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

Results

Accuracy	Segments	Branch
81.1%	3	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes4.0ms (0.1%)

Memory

10.7MiB live, 10.7MiB allocated

Accuracy

Total -28.6b remaining (-85.6%)

Threshold costs -28.6b (-85.6%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
47.7%	1	`x`
47.7%	1	`y`
47.7%	1	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.701101838475559e+85	2.0301080337008662e+93
0.0ms	-7.087897214704215e+80	-2.804531986537583e+78

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.701101838475559e+85	2.0301080337008662e+93
0.0ms	-7.087897214704215e+80	-2.804531986537583e+78

Compiler

Compiled 10 to 11 computations (-10% saved)

simplify25.0ms (0.5%)

Memory

-26.0MiB live, 19.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	102
1	54	102
2	107	102
3	189	102
4	264	102
5	276	102
6	287	102
7	314	102
8	415	102
9	650	102
10	880	102
11	884	102
12	884	102

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))
(if (<=.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y))) #s(literal -499999999999999960640939947832891370967751624529591925904999112061532074214948864 binary64)) (.f64 x #s(approx (- 1 ( x y)) (.f64 (neg.f64 x) y))) (if (<=.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y))) #s(literal 50000000000000000731534761533743651548502149393232752963930539358489818212557410795520 binary64)) (.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) (.f64 x #s(approx (- 1 ( x y)) (*.f64 (neg.f64 x) y)))))
(if (<=.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y))) #s(literal -499999999999999960640939947832891370967751624529591925904999112061532074214948864 binary64)) #s(approx (- x (* (* x x) y)) (.f64 (.f64 (neg.f64 x) x) y)) (if (<=.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y))) #s(literal 50000000000000000731534761533743651548502149393232752963930539358489818212557410795520 binary64)) (.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64))) #s(approx (- x (* (* x x) y)) (.f64 (.f64 (neg.f64 x) x) y))))
(.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64)))

Outputs
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))
(if (<=.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y))) #s(literal -499999999999999960640939947832891370967751624529591925904999112061532074214948864 binary64)) (.f64 x #s(approx (- 1 ( x y)) (.f64 (neg.f64 x) y))) (if (<=.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y))) #s(literal 50000000000000000731534761533743651548502149393232752963930539358489818212557410795520 binary64)) (.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) (.f64 x #s(approx (- 1 ( x y)) (*.f64 (neg.f64 x) y)))))
(if (or (<=.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y))) #s(literal -499999999999999960640939947832891370967751624529591925904999112061532074214948864 binary64)) (not (<=.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y))) #s(literal 50000000000000000731534761533743651548502149393232752963930539358489818212557410795520 binary64)))) (.f64 x #s(approx (- 1 ( x y)) (.f64 (neg.f64 x) y))) (.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))))
(if (<=.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y))) #s(literal -499999999999999960640939947832891370967751624529591925904999112061532074214948864 binary64)) #s(approx (- x (* (* x x) y)) (.f64 (.f64 (neg.f64 x) x) y)) (if (<=.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y))) #s(literal 50000000000000000731534761533743651548502149393232752963930539358489818212557410795520 binary64)) (.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64))) #s(approx (- x (* (* x x) y)) (.f64 (.f64 (neg.f64 x) x) y))))
(if (or (<=.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y))) #s(literal -499999999999999960640939947832891370967751624529591925904999112061532074214948864 binary64)) (not (<=.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y))) #s(literal 50000000000000000731534761533743651548502149393232752963930539358489818212557410795520 binary64)))) #s(approx (- x (* (* x x) y)) (.f64 (.f64 (neg.f64 x) x) y)) (.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64))))
(.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64)))

soundness889.0ms (17.2%)

Memory

15.2MiB live, 452.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	85
1	112	75
2	258	75
3	810	75
4	3460	75
0	8106	75
0	6	15
0	9	15
1	30	15
2	176	15
3	1449	15
0	8912	13
0	87	252
1	285	234
2	719	234
3	2018	234
0	7454	225

Stop Event

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

Compiler

Compiled 137 to 60 computations (56.2% saved)

preprocess28.0ms (0.5%)

Memory: -0.4MiB live, 45.2MiB allocated
Compiler: Compiled 218 to 70 computations (67.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	16	37
1	44	37
2	112	35
3	206	35
4	365	35
5	514	35
6	749	35
7	873	35
8	892	35
9	892	35
0	6	7
0	9	7
1	16	7
2	31	7
3	65	7
4	140	7
5	243	7
6	332	7
7	505	7
8	527	7
0	527	7

Iter	Nodes	Cost
0	28	102
1	54	102
2	107	102
3	189	102
4	264	102
5	276	102
6	287	102
7	314	102
8	415	102
9	650	102
10	880	102
11	884	102
12	884	102

Iter	Nodes	Cost
0	16	37
1	44	37
2	112	35
3	206	35
4	365	35
5	514	35
6	749	35
7	873	35
8	892	35
9	892	35
0	6	7
0	9	7
1	16	7
2	31	7
3	65	7
4	140	7
5	243	7
6	332	7
7	505	7
8	527	7
0	527	7

Iter	Nodes	Cost
0	28	102
1	54	102
2	107	102
3	189	102
4	264	102
5	276	102
6	287	102
7	314	102
8	415	102
9	650	102
10	880	102
11	884	102
12	884	102

start0.0ms (0%)

analyze0.0ms (0%)

sample812.0ms (15.7%)

explain99.0ms (1.9%)

preprocess49.0ms (1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify17.0ms (0.3%)

localize43.0ms (0.8%)

series5.0ms (0.1%)

simplify256.0ms (5%)

rewrite305.0ms (5.9%)

eval111.0ms (2.2%)

prune11.0ms (0.2%)

simplify178.0ms (3.4%)

localize127.0ms (2.5%)

series33.0ms (0.6%)

simplify127.0ms (2.5%)

rewrite246.0ms (4.8%)

eval228.0ms (4.4%)

prune18.0ms (0.3%)

simplify95.0ms (1.8%)

localize112.0ms (2.2%)

series49.0ms (0.9%)

simplify201.0ms (3.9%)

rewrite209.0ms (4%)

eval128.0ms (2.5%)

prune16.0ms (0.3%)

simplify144.0ms (2.8%)

localize96.0ms (1.9%)

series24.0ms (0.5%)

simplify169.0ms (3.3%)

rewrite159.0ms (3.1%)

eval86.0ms (1.7%)

prune41.0ms (0.8%)

regimes14.0ms (0.3%)

regimes9.0ms (0.2%)

regimes2.0ms (0%)

regimes4.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify25.0ms (0.5%)

soundness889.0ms (17.2%)

preprocess28.0ms (0.5%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	16	37
1	44	37
2	112	35
3	206	35
4	365	35
5	514	35
6	749	35
7	873	35
8	892	35
9	892	35
0	6	7
0	9	7
1	16	7
2	31	7
3	65	7
4	140	7
5	243	7
6	332	7
7	505	7
8	527	7
0	527	7

Iter	Nodes	Cost
0	28	102
1	54	102
2	107	102
3	189	102
4	264	102
5	276	102
6	287	102
7	314	102
8	415	102
9	650	102
10	880	102
11	884	102
12	884	102