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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample753.0ms (13.7%)

Memory

-11.4MiB live, 970.6MiB allocated

Samples

449.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 223.0ms

ival-mult: 167.0ms (75.1% of total)

ival-sub: 42.0ms (18.9% of total)

ival-true: 6.0ms (2.7% of total)

exact: 5.0ms (2.2% of total)

ival-assert: 3.0ms (1.3% of total)

Bogosity

explain70.0ms (1.3%)

Memory

15.1MiB live, 92.0MiB 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

22.0ms

512×

valid

Compiler

Compiled 65 to 28 computations (56.9% saved)

Precisions

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

ival-mult: 7.0ms (70.2% of total)

ival-sub: 2.0ms (20.1% of total)

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

exact: 0.0ms (0% of total)

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

preprocess53.0ms (1%)

Memory

4.8MiB live, 47.6MiB 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

1.0MiB live, 1.0MiB 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)

simplify16.0ms (0.3%)

Memory

-10.7MiB live, 24.1MiB 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

localize18.0ms (0.3%)

Memory

-2.4MiB live, 34.3MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 #s(literal 1 binary64) (*.f64 x y))
accuracy	0.0	(*.f64 x y)
accuracy	0.0625	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))

Samples

11.0ms

256×

valid

Compiler

Compiled 38 to 14 computations (63.2% saved)

Precisions

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

ival-mult: 3.0ms (61.2% of total)

ival-sub: 1.0ms (20.4% 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

10.9MiB live, 10.9MiB 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))

simplify151.0ms (2.7%)

Memory

9.8MiB live, 142.9MiB 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))

rewrite206.0ms (3.7%)

Memory

-18.8MiB live, 254.9MiB 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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(exp.f64 (.f64 (log.f64 (.f64 y x)) #s(literal 1 binary64)))
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eval43.0ms (0.8%)

Memory: 31.6MiB live, 106.7MiB allocated
Compiler: Compiled 10 774 to 1 179 computations (89.1% saved)

prune43.0ms (0.8%)

Memory

-8.3MiB live, 29.3MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	373	8	381
Fresh	0	0	0
Picked	1	0	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
▶	99.9%	(fma.f64 (*.f64 (neg.f64 x) y) x x)
▶	91.8%	(-.f64 x (.f64 (.f64 x x) y))
	62.4%	(.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))))
▶	78.8%	(.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))))
▶	58.1%	(.f64 x (fma.f64 (/.f64 (.f64 (.f64 (neg.f64 x) y) 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 y (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64))) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64))))
	51.9%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (.f64 y x)) (sqrt.f64 (.f64 y x)))))
	54.3%	(.f64 x #s(approx (- 1 ( x y)) (*.f64 (neg.f64 x) y)))
▶	47.6%	(.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64)))

Compiler

Compiled 246 to 156 computations (36.6% saved)

simplify229.0ms (4.2%)

Memory

-35.0MiB live, 220.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	287
0	57	287
1	115	287
2	309	285
3	1369	282
4	5059	282
0	8183	279

Stop Event

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

Calls

Call 1

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

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

localize100.0ms (1.8%)

Memory

10.1MiB live, 204.1MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.24660568219056692	(pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64))
accuracy	4.289204760553154	(/.f64 y (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))
accuracy	22.510890745256933	(fma.f64 (/.f64 (.f64 (.f64 (neg.f64 x) y) 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 y (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)))
accuracy	25.006496580733604	(/.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))))
accuracy	0.0	(*.f64 y x)
accuracy	0.232753759768442	(pow.f64 (*.f64 y x) #s(literal 2 binary64))
accuracy	4.034716435241099	(.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))))
accuracy	8.95169614789362	(/.f64 x (fma.f64 y x #s(literal 1 binary64)))
accuracy	0.0	(*.f64 x x)
accuracy	0.01171875	(-.f64 x (.f64 (.f64 x x) y))
accuracy	7.4476113236871315	(.f64 (.f64 x x) y)
accuracy	0.0625	(.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64)))
accuracy	33.77321326705267	#s(approx (- 1 (* x y)) #s(literal 1 binary64))
accuracy	0.0	(*.f64 (neg.f64 x) y)
accuracy	0.0	(neg.f64 x)
accuracy	0.0546875	(fma.f64 (*.f64 (neg.f64 x) y) x x)

Samples

69.0ms

256×

valid

Compiler

Compiled 590 to 68 computations (88.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

ival-mult: 19.0ms (37.1% of total)

ival-pow: 12.0ms (23.4% of total)

ival-div: 6.0ms (11.7% of total)

ival-add: 5.0ms (9.8% of total)

ival-sub: 5.0ms (9.8% of total)

ival-pow2: 2.0ms (3.9% of total)

ival-neg: 1.0ms (2% of total)

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

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

exact: 0.0ms (0% of total)

series55.0ms (1%)

Memory

-1.4MiB live, 80.7MiB allocated

Counts

20 → 130

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
15.0ms	y	@	inf	((+ (* (* (neg x) y) x) x) (* (neg x) y) (neg x) (* x (- 1 (* x y))) (- 1 (* x y)) (- x (* (* x x) y)) (* (* x x) y) (* x x) (* (- 1 (pow (* y x) 2)) (/ x (+ (* y x) 1))) (- 1 (pow (* y x) 2)) (pow (* y x) 2) (* y x) (/ (* (* (neg x) y) x) (/ (- 1 (pow (* y x) 2)) (- 1 (pow (* y x) 3)))) (+ (* (/ (* (* (neg x) y) x) (/ (- 1 (pow (* y x) 2)) (- 1 (pow (* y x) 3)))) (/ y (+ (* (+ (* y x) 1) (* y x)) 1))) (pow (+ (* y x) 1) -1)) (* x (+ (* (/ (* (* (neg x) y) x) (/ (- 1 (pow (* y x) 2)) (- 1 (pow (* y x) 3)))) (/ y (+ (* (+ (* y x) 1) (* y x)) 1))) (pow (+ (* y x) 1) -1))) (* (* (neg x) y) x) (/ x (+ (* y x) 1)) (/ (- 1 (pow (* y x) 2)) (- 1 (pow (* y x) 3))) (/ y (+ (* (+ (* y x) 1) (* y x)) 1)) (pow (+ (* y x) 1) -1))
10.0ms	x	@	inf	((+ (* (* (neg x) y) x) x) (* (neg x) y) (neg x) (* x (- 1 (* x y))) (- 1 (* x y)) (- x (* (* x x) y)) (* (* x x) y) (* x x) (* (- 1 (pow (* y x) 2)) (/ x (+ (* y x) 1))) (- 1 (pow (* y x) 2)) (pow (* y x) 2) (* y x) (/ (* (* (neg x) y) x) (/ (- 1 (pow (* y x) 2)) (- 1 (pow (* y x) 3)))) (+ (* (/ (* (* (neg x) y) x) (/ (- 1 (pow (* y x) 2)) (- 1 (pow (* y x) 3)))) (/ y (+ (* (+ (* y x) 1) (* y x)) 1))) (pow (+ (* y x) 1) -1)) (* x (+ (* (/ (* (* (neg x) y) x) (/ (- 1 (pow (* y x) 2)) (- 1 (pow (* y x) 3)))) (/ y (+ (* (+ (* y x) 1) (* y x)) 1))) (pow (+ (* y x) 1) -1))) (* (* (neg x) y) x) (/ x (+ (* y x) 1)) (/ (- 1 (pow (* y x) 2)) (- 1 (pow (* y x) 3))) (/ y (+ (* (+ (* y x) 1) (* y x)) 1)) (pow (+ (* y x) 1) -1))
9.0ms	x	@	-inf	((+ (* (* (neg x) y) x) x) (* (neg x) y) (neg x) (* x (- 1 (* x y))) (- 1 (* x y)) (- x (* (* x x) y)) (* (* x x) y) (* x x) (* (- 1 (pow (* y x) 2)) (/ x (+ (* y x) 1))) (- 1 (pow (* y x) 2)) (pow (* y x) 2) (* y x) (/ (* (* (neg x) y) x) (/ (- 1 (pow (* y x) 2)) (- 1 (pow (* y x) 3)))) (+ (* (/ (* (* (neg x) y) x) (/ (- 1 (pow (* y x) 2)) (- 1 (pow (* y x) 3)))) (/ y (+ (* (+ (* y x) 1) (* y x)) 1))) (pow (+ (* y x) 1) -1)) (* x (+ (* (/ (* (* (neg x) y) x) (/ (- 1 (pow (* y x) 2)) (- 1 (pow (* y x) 3)))) (/ y (+ (* (+ (* y x) 1) (* y x)) 1))) (pow (+ (* y x) 1) -1))) (* (* (neg x) y) x) (/ x (+ (* y x) 1)) (/ (- 1 (pow (* y x) 2)) (- 1 (pow (* y x) 3))) (/ y (+ (* (+ (* y x) 1) (* y x)) 1)) (pow (+ (* y x) 1) -1))
7.0ms	y	@	-inf	((+ (* (* (neg x) y) x) x) (* (neg x) y) (neg x) (* x (- 1 (* x y))) (- 1 (* x y)) (- x (* (* x x) y)) (* (* x x) y) (* x x) (* (- 1 (pow (* y x) 2)) (/ x (+ (* y x) 1))) (- 1 (pow (* y x) 2)) (pow (* y x) 2) (* y x) (/ (* (* (neg x) y) x) (/ (- 1 (pow (* y x) 2)) (- 1 (pow (* y x) 3)))) (+ (* (/ (* (* (neg x) y) x) (/ (- 1 (pow (* y x) 2)) (- 1 (pow (* y x) 3)))) (/ y (+ (* (+ (* y x) 1) (* y x)) 1))) (pow (+ (* y x) 1) -1)) (* x (+ (* (/ (* (* (neg x) y) x) (/ (- 1 (pow (* y x) 2)) (- 1 (pow (* y x) 3)))) (/ y (+ (* (+ (* y x) 1) (* y x)) 1))) (pow (+ (* y x) 1) -1))) (* (* (neg x) y) x) (/ x (+ (* y x) 1)) (/ (- 1 (pow (* y x) 2)) (- 1 (pow (* y x) 3))) (/ y (+ (* (+ (* y x) 1) (* y x)) 1)) (pow (+ (* y x) 1) -1))
6.0ms	x	@	0	((+ (* (* (neg x) y) x) x) (* (neg x) y) (neg x) (* x (- 1 (* x y))) (- 1 (* x y)) (- x (* (* x x) y)) (* (* x x) y) (* x x) (* (- 1 (pow (* y x) 2)) (/ x (+ (* y x) 1))) (- 1 (pow (* y x) 2)) (pow (* y x) 2) (* y x) (/ (* (* (neg x) y) x) (/ (- 1 (pow (* y x) 2)) (- 1 (pow (* y x) 3)))) (+ (* (/ (* (* (neg x) y) x) (/ (- 1 (pow (* y x) 2)) (- 1 (pow (* y x) 3)))) (/ y (+ (* (+ (* y x) 1) (* y x)) 1))) (pow (+ (* y x) 1) -1)) (* x (+ (* (/ (* (* (neg x) y) x) (/ (- 1 (pow (* y x) 2)) (- 1 (pow (* y x) 3)))) (/ y (+ (* (+ (* y x) 1) (* y x)) 1))) (pow (+ (* y x) 1) -1))) (* (* (neg x) y) x) (/ x (+ (* y x) 1)) (/ (- 1 (pow (* y x) 2)) (- 1 (pow (* y x) 3))) (/ y (+ (* (+ (* y x) 1) (* y x)) 1)) (pow (+ (* y x) 1) -1))

simplify245.0ms (4.5%)

Memory

6.0MiB live, 192.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	545	2704
1	1823	2334
2	6692	2257
0	8121	2219

Stop Event

1×	iter limit
1×	node limit

Counts

130 → 128

Calls

Call 1

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

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

rewrite209.0ms (3.8%)

Memory

6.4MiB live, 289.0MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	221
0	57	221
1	240	219
2	1851	219
0	8153	219

Stop Event

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

Counts

20 → 600

Calls

Call 1

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

Outputs
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x)
(*.f64 x (fma.f64 (neg.f64 y) x #s(literal 1 binary64)))
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(-.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64))))) (/.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))))))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 4 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 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 4 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 (pow.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)))) (/.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (+.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))))
(-.f64 (/.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 4 binary64))) (pow.f64 (.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)))) (/.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 4 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 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 (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) (.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 3 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 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))))))
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 4 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 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 4 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 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 (.f64 (neg.f64 (.f64 y y)) (.f64 x x)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))))
(+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 (.f64 (.f64 (.f64 y (neg.f64 x)) x) y) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))))
(.f64 (/.f64 y (-.f64 (pow.f64 (fma.f64 y x (pow.f64 (.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (fma.f64 y x (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(.f64 (/.f64 y (+.f64 (pow.f64 (fma.f64 y x (pow.f64 (.f64 y x) #s(literal 2 binary64))) #s(literal 3 binary64)) #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 (pow.f64 (.f64 y x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 y) (neg.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))))
(/.f64 y (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))
(neg.f64 (/.f64 (neg.f64 y) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))))
(neg.f64 (/.f64 y (neg.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1/2 binary64)))) (neg.f64 (neg.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1/2 binary64)))))
(.f64 (fabs.f64 (pow.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (fabs.f64 (-.f64 (*.f64 y x) #s(literal 1 binary64))))
(.f64 (fabs.f64 (pow.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (fabs.f64 (-.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 y x))))
(.f64 (pow.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 y x) #s(literal 1 binary64)))
(.f64 (pow.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 y x)))
(*.f64 (neg.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log1p.f64 (*.f64 y x)))
(pow.f64 (neg.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (fma.f64 y (neg.f64 x) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (fabs.f64 (fma.f64 y (neg.f64 x) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (fma.f64 y x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (neg.f64 x) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 y x #s(literal 1 binary64)))
(sqrt.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -2 binary64)))
(fabs.f64 (neg.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64))))
(fabs.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)))
(exp.f64 (fma.f64 (log1p.f64 (.f64 y x)) #s(literal -1/2 binary64) (.f64 (log1p.f64 (*.f64 y x)) #s(literal -1/2 binary64))))
(exp.f64 (.f64 (.f64 (log1p.f64 (*.f64 y x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (neg.f64 (log1p.f64 (*.f64 y x))))
(+.f64 (cosh.f64 (neg.f64 (log1p.f64 (.f64 y x)))) (sinh.f64 (neg.f64 (log1p.f64 (.f64 y x)))))

eval174.0ms (3.2%)

Memory: 29.0MiB live, 339.8MiB allocated
Compiler: Compiled 39 540 to 3 419 computations (91.4% saved)

prune18.0ms (0.3%)

Memory

-13.5MiB live, 64.9MiB allocated

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	832	5	837
Fresh	2	1	3
Picked	2	3	5
Done	0	0	0
Total	836	9	845

Accuracy

100.0%

Counts

845 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (*.f64 (neg.f64 x) y) x x)
✓	91.8%	(-.f64 x (.f64 (.f64 x x) y))
▶	78.4%	(-.f64 x (*.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) y))
▶	75.1%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y x) y) x)) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
▶	78.8%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 y x) (.f64 y x))) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
	71.4%	(.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)))) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
▶	24.8%	(.f64 #s(approx (- 1 (pow ( y x) 2)) (.f64 (.f64 (*.f64 (neg.f64 y) y) x) x)) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
▶	54.3%	(.f64 x #s(approx (- 1 ( x y)) (*.f64 (neg.f64 x) y)))
✓	47.6%	(.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64)))

Compiler

Compiled 203 to 142 computations (30% saved)

simplify143.0ms (2.6%)

Memory

-22.2MiB live, 109.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	227
0	56	215
1	104	209
2	198	209
3	495	209
4	1668	209
5	3164	209
6	4864	209
7	7240	209
0	8035	209

Stop Event

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

Calls

Call 1

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

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

localize95.0ms (1.7%)

Memory

8.6MiB live, 170.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0	(pow.f64 x #s(literal 4 binary64))
accuracy	0.01171875	(-.f64 x (*.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) y))
accuracy	7.4476113236871315	(*.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) y)
accuracy	16.98513471707407	(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
accuracy	0.12890625	(.f64 (.f64 y x) y)
accuracy	4.034716435241099	(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y x) y) x)) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
accuracy	4.687537665476397	(.f64 (.f64 (*.f64 y x) y) x)
accuracy	8.95169614789362	(/.f64 x (fma.f64 y x #s(literal 1 binary64)))
accuracy	4.687537665476397	(.f64 (.f64 (*.f64 (neg.f64 y) y) x) x)
accuracy	6.150297857132481	(.f64 (.f64 (neg.f64 y) y) x)
accuracy	8.95169614789362	(/.f64 x (fma.f64 y x #s(literal 1 binary64)))
accuracy	29.56787383370516	#s(approx (- 1 (pow (* y x) 2)) (.f64 (.f64 (*.f64 (neg.f64 y) y) x) x))
accuracy	0.0	(*.f64 (neg.f64 x) y)
accuracy	0.0	(neg.f64 x)
accuracy	0.0625	(.f64 x #s(approx (- 1 ( x y)) (*.f64 (neg.f64 x) y)))
accuracy	29.602787207006315	#s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y))
accuracy	0.0	(*.f64 y x)
accuracy	0.232753759768442	(.f64 (.f64 y x) (*.f64 y x))
accuracy	4.034716435241099	(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 y x) (.f64 y x))) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
accuracy	8.95169614789362	(/.f64 x (fma.f64 y x #s(literal 1 binary64)))

Samples

72.0ms

256×

valid

Compiler

Compiled 437 to 67 computations (84.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-mult: 20.0ms (45.6% of total)

ival-sub: 6.0ms (13.7% of total)

ival-div: 4.0ms (9.1% of total)

ival-sqrt: 4.0ms (9.1% of total)

ival-pow: 4.0ms (9.1% of total)

ival-neg: 2.0ms (4.6% of total)

ival-pow2: 2.0ms (4.6% of total)

ival-add: 1.0ms (2.3% of total)

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

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

exact: 0.0ms (0% of total)

series18.0ms (0.3%)

Memory

-4.7MiB live, 33.2MiB allocated

Counts

21 → 45

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	y	@	0	((* (* y x) (* y x)) (* (- 1 (* (* y x) (* y x))) (/ x (+ (* y x) 1))) (- 1 (* (* y x) (* y x))) (* y x) (* x (- 1 (* x y))) (- 1 (* x y)) (* (neg x) y) (neg x) (* (* (* (neg y) y) x) x) (* (- 1 (pow (* y x) 2)) (/ x (+ (* y x) 1))) (- 1 (pow (* y x) 2)) (* (* (neg y) y) x) (* (* (* y x) y) x) (* (- 1 (* (* (* y x) y) x)) (/ x (+ (* y x) 1))) (- 1 (* (* (* y x) y) x)) (* (* y x) y) (- x (* (sqrt (pow x 4)) y)) (* (sqrt (pow x 4)) y) (sqrt (pow x 4)) (pow x 4) (/ x (+ (* y x) 1)))
3.0ms	x	@	-inf	((* (* y x) (* y x)) (* (- 1 (* (* y x) (* y x))) (/ x (+ (* y x) 1))) (- 1 (* (* y x) (* y x))) (* y x) (* x (- 1 (* x y))) (- 1 (* x y)) (* (neg x) y) (neg x) (* (* (* (neg y) y) x) x) (* (- 1 (pow (* y x) 2)) (/ x (+ (* y x) 1))) (- 1 (pow (* y x) 2)) (* (* (neg y) y) x) (* (* (* y x) y) x) (* (- 1 (* (* (* y x) y) x)) (/ x (+ (* y x) 1))) (- 1 (* (* (* y x) y) x)) (* (* y x) y) (- x (* (sqrt (pow x 4)) y)) (* (sqrt (pow x 4)) y) (sqrt (pow x 4)) (pow x 4) (/ x (+ (* y x) 1)))
3.0ms	x	@	inf	((* (* y x) (* y x)) (* (- 1 (* (* y x) (* y x))) (/ x (+ (* y x) 1))) (- 1 (* (* y x) (* y x))) (* y x) (* x (- 1 (* x y))) (- 1 (* x y)) (* (neg x) y) (neg x) (* (* (* (neg y) y) x) x) (* (- 1 (pow (* y x) 2)) (/ x (+ (* y x) 1))) (- 1 (pow (* y x) 2)) (* (* (neg y) y) x) (* (* (* y x) y) x) (* (- 1 (* (* (* y x) y) x)) (/ x (+ (* y x) 1))) (- 1 (* (* (* y x) y) x)) (* (* y x) y) (- x (* (sqrt (pow x 4)) y)) (* (sqrt (pow x 4)) y) (sqrt (pow x 4)) (pow x 4) (/ x (+ (* y x) 1)))
2.0ms	x	@	0	((* (* y x) (* y x)) (* (- 1 (* (* y x) (* y x))) (/ x (+ (* y x) 1))) (- 1 (* (* y x) (* y x))) (* y x) (* x (- 1 (* x y))) (- 1 (* x y)) (* (neg x) y) (neg x) (* (* (* (neg y) y) x) x) (* (- 1 (pow (* y x) 2)) (/ x (+ (* y x) 1))) (- 1 (pow (* y x) 2)) (* (* (neg y) y) x) (* (* (* y x) y) x) (* (- 1 (* (* (* y x) y) x)) (/ x (+ (* y x) 1))) (- 1 (* (* (* y x) y) x)) (* (* y x) y) (- x (* (sqrt (pow x 4)) y)) (* (sqrt (pow x 4)) y) (sqrt (pow x 4)) (pow x 4) (/ x (+ (* y x) 1)))
2.0ms	y	@	-inf	((* (* y x) (* y x)) (* (- 1 (* (* y x) (* y x))) (/ x (+ (* y x) 1))) (- 1 (* (* y x) (* y x))) (* y x) (* x (- 1 (* x y))) (- 1 (* x y)) (* (neg x) y) (neg x) (* (* (* (neg y) y) x) x) (* (- 1 (pow (* y x) 2)) (/ x (+ (* y x) 1))) (- 1 (pow (* y x) 2)) (* (* (neg y) y) x) (* (* (* y x) y) x) (* (- 1 (* (* (* y x) y) x)) (/ x (+ (* y x) 1))) (- 1 (* (* (* y x) y) x)) (* (* y x) y) (- x (* (sqrt (pow x 4)) y)) (* (sqrt (pow x 4)) y) (sqrt (pow x 4)) (pow x 4) (/ x (+ (* y x) 1)))

simplify124.0ms (2.2%)

Memory

16.0MiB live, 170.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	140	484
1	396	438
2	946	436
3	3225	429
4	7669	429
0	8070	423

Stop Event

1×	iter limit
1×	node limit

Counts

45 → 44

Calls

Call 1

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

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

rewrite254.0ms (4.6%)

Memory

-2.3MiB live, 283.5MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	34	180
0	56	165
1	185	159
2	897	151
0	9480	151

Stop Event

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

Counts

21 → 1 086

Calls

Call 1

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

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

eval148.0ms (2.7%)

Memory: 17.8MiB live, 196.7MiB allocated
Compiler: Compiled 23 568 to 2 638 computations (88.8% saved)

prune21.0ms (0.4%)

Memory

-19.6MiB live, 73.1MiB allocated

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	907	4	911
Fresh	0	1	1
Picked	3	2	5
Done	1	2	3
Total	911	9	920

Accuracy

100.0%

Counts

920 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (*.f64 (neg.f64 x) y) x x)
✓	78.4%	(-.f64 x (*.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) y))
▶	47.4%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 y x) (.f64 y x))) #s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y)))
▶	71.4%	(.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)))) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
▶	39.4%	(.f64 #s(approx (- 1 (pow ( y x) 2)) (.f64 (.f64 (.f64 (neg.f64 y) y) x) x)) #s(approx (/ x (+ ( y x) 1)) (/.f64 #s(literal 1 binary64) y)))
▶	29.7%	(.f64 #s(approx (- 1 (pow ( y x) 2)) (.f64 (.f64 (*.f64 (neg.f64 y) x) y) x)) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
✓	54.3%	(.f64 x #s(approx (- 1 ( x y)) (*.f64 (neg.f64 x) y)))
✓	47.6%	(.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64)))
▶	49.8%	#s(approx (* (- 1 (* (* y x) (* y x))) (/ x (+ (* y x) 1))) (.f64 (.f64 (neg.f64 x) x) y))

Compiler

Compiled 258 to 171 computations (33.7% saved)

simplify160.0ms (2.9%)

Memory

11.5MiB live, 167.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	40	294
0	66	286
1	118	274
2	220	274
3	537	274
4	2214	274
5	4179	274
6	6196	274
0	8295	274

Stop Event

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

Calls

Call 1

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

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

localize114.0ms (2.1%)

Memory

-17.8MiB live, 191.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	4.034716435241099	(.f64 #s(approx (- 1 (pow ( y x) 2)) (.f64 (.f64 (*.f64 (neg.f64 y) x) y) x)) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
accuracy	4.687537665476397	(.f64 (.f64 (*.f64 (neg.f64 y) x) y) x)
accuracy	8.95169614789362	(/.f64 x (fma.f64 y x #s(literal 1 binary64)))
accuracy	29.56787383370516	#s(approx (- 1 (pow (* y x) 2)) (.f64 (.f64 (*.f64 (neg.f64 y) x) y) x))
accuracy	0.0	(*.f64 y x)
accuracy	0.232753759768442	(.f64 (.f64 y x) (*.f64 y x))
accuracy	4.034716435241099	(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 y x) (.f64 y x))) #s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y)))
accuracy	29.605026563962657	#s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y))
accuracy	4.687537665476397	(.f64 (.f64 (*.f64 (neg.f64 y) y) x) x)
accuracy	6.150297857132481	(.f64 (.f64 (neg.f64 y) y) x)
accuracy	29.56787383370516	#s(approx (- 1 (pow (* y x) 2)) (.f64 (.f64 (*.f64 (neg.f64 y) y) x) x))
accuracy	29.605026563962657	#s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y))
accuracy	0.0	(*.f64 (neg.f64 x) x)
accuracy	0.0	(neg.f64 x)
accuracy	7.4476113236871315	(.f64 (.f64 (neg.f64 x) x) y)
accuracy	29.168880124904877	#s(approx (* (- 1 (* (* y x) (* y x))) (/ x (+ (* y x) 1))) (.f64 (.f64 (neg.f64 x) x) y))
accuracy	0.1758576172213042	(pow.f64 (*.f64 y x) #s(literal 4 binary64))
accuracy	4.034716435241099	(.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)))) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
accuracy	8.95169614789362	(/.f64 x (fma.f64 y x #s(literal 1 binary64)))
accuracy	12.524921144533861	(sqrt.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)))

Samples

76.0ms

256×

valid

Compiler

Compiled 547 to 71 computations (87% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

ival-mult: 36.0ms (64.5% of total)

ival-div: 6.0ms (10.7% of total)

ival-pow: 4.0ms (7.2% of total)

ival-sub: 3.0ms (5.4% of total)

ival-sqrt: 2.0ms (3.6% of total)

ival-neg: 2.0ms (3.6% of total)

ival-pow2: 2.0ms (3.6% of total)

ival-add: 1.0ms (1.8% of total)

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

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

exact: 0.0ms (0% of total)

series23.0ms (0.4%)

Memory

16.8MiB live, 55.5MiB allocated

Counts

22 → 34

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
9.0ms	x	@	inf	((* (- 1 (sqrt (pow (* y x) 4))) (/ x (+ (* y x) 1))) (- 1 (sqrt (pow (* y x) 4))) (sqrt (pow (* y x) 4)) (pow (* y x) 4) (* (- 1 (* (* y x) (* y x))) (/ x (+ (* y x) 1))) (* (* (neg x) x) y) (* (neg x) x) (neg x) (* (* (* (neg y) y) x) x) (* (- 1 (pow (* y x) 2)) (/ x (+ (* y x) 1))) (- 1 (pow (* y x) 2)) (* (* (neg y) y) x) (* (* y x) (* y x)) (* (- 1 (* (* y x) (* y x))) (/ x (+ (* y x) 1))) (- 1 (* (* y x) (* y x))) (* y x) (* (* (* (neg y) x) y) x) (* (- 1 (pow (* y x) 2)) (/ x (+ (* y x) 1))) (- 1 (pow (* y x) 2)) (* (* (neg y) x) y) (/ x (+ (* y x) 1)) (/ x (+ (* y x) 1)))
3.0ms	x	@	-inf	((* (- 1 (sqrt (pow (* y x) 4))) (/ x (+ (* y x) 1))) (- 1 (sqrt (pow (* y x) 4))) (sqrt (pow (* y x) 4)) (pow (* y x) 4) (* (- 1 (* (* y x) (* y x))) (/ x (+ (* y x) 1))) (* (* (neg x) x) y) (* (neg x) x) (neg x) (* (* (* (neg y) y) x) x) (* (- 1 (pow (* y x) 2)) (/ x (+ (* y x) 1))) (- 1 (pow (* y x) 2)) (* (* (neg y) y) x) (* (* y x) (* y x)) (* (- 1 (* (* y x) (* y x))) (/ x (+ (* y x) 1))) (- 1 (* (* y x) (* y x))) (* y x) (* (* (* (neg y) x) y) x) (* (- 1 (pow (* y x) 2)) (/ x (+ (* y x) 1))) (- 1 (pow (* y x) 2)) (* (* (neg y) x) y) (/ x (+ (* y x) 1)) (/ x (+ (* y x) 1)))
3.0ms	x	@	0	((* (- 1 (sqrt (pow (* y x) 4))) (/ x (+ (* y x) 1))) (- 1 (sqrt (pow (* y x) 4))) (sqrt (pow (* y x) 4)) (pow (* y x) 4) (* (- 1 (* (* y x) (* y x))) (/ x (+ (* y x) 1))) (* (* (neg x) x) y) (* (neg x) x) (neg x) (* (* (* (neg y) y) x) x) (* (- 1 (pow (* y x) 2)) (/ x (+ (* y x) 1))) (- 1 (pow (* y x) 2)) (* (* (neg y) y) x) (* (* y x) (* y x)) (* (- 1 (* (* y x) (* y x))) (/ x (+ (* y x) 1))) (- 1 (* (* y x) (* y x))) (* y x) (* (* (* (neg y) x) y) x) (* (- 1 (pow (* y x) 2)) (/ x (+ (* y x) 1))) (- 1 (pow (* y x) 2)) (* (* (neg y) x) y) (/ x (+ (* y x) 1)) (/ x (+ (* y x) 1)))
3.0ms	y	@	inf	((* (- 1 (sqrt (pow (* y x) 4))) (/ x (+ (* y x) 1))) (- 1 (sqrt (pow (* y x) 4))) (sqrt (pow (* y x) 4)) (pow (* y x) 4) (* (- 1 (* (* y x) (* y x))) (/ x (+ (* y x) 1))) (* (* (neg x) x) y) (* (neg x) x) (neg x) (* (* (* (neg y) y) x) x) (* (- 1 (pow (* y x) 2)) (/ x (+ (* y x) 1))) (- 1 (pow (* y x) 2)) (* (* (neg y) y) x) (* (* y x) (* y x)) (* (- 1 (* (* y x) (* y x))) (/ x (+ (* y x) 1))) (- 1 (* (* y x) (* y x))) (* y x) (* (* (* (neg y) x) y) x) (* (- 1 (pow (* y x) 2)) (/ x (+ (* y x) 1))) (- 1 (pow (* y x) 2)) (* (* (neg y) x) y) (/ x (+ (* y x) 1)) (/ x (+ (* y x) 1)))
2.0ms	y	@	-inf	((* (- 1 (sqrt (pow (* y x) 4))) (/ x (+ (* y x) 1))) (- 1 (sqrt (pow (* y x) 4))) (sqrt (pow (* y x) 4)) (pow (* y x) 4) (* (- 1 (* (* y x) (* y x))) (/ x (+ (* y x) 1))) (* (* (neg x) x) y) (* (neg x) x) (neg x) (* (* (* (neg y) y) x) x) (* (- 1 (pow (* y x) 2)) (/ x (+ (* y x) 1))) (- 1 (pow (* y x) 2)) (* (* (neg y) y) x) (* (* y x) (* y x)) (* (- 1 (* (* y x) (* y x))) (/ x (+ (* y x) 1))) (- 1 (* (* y x) (* y x))) (* y x) (* (* (* (neg y) x) y) x) (* (- 1 (pow (* y x) 2)) (/ x (+ (* y x) 1))) (- 1 (pow (* y x) 2)) (* (* (neg y) x) y) (/ x (+ (* y x) 1)) (/ x (+ (* y x) 1)))

simplify239.0ms (4.3%)

Memory

-6.3MiB live, 183.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	128	421
1	357	383
2	868	381
3	2582	374
4	6423	373
0	8460	367

Stop Event

1×	iter limit
1×	node limit

Counts

34 → 33

Calls

Call 1

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

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

rewrite271.0ms (4.9%)

Memory

-2.8MiB live, 204.4MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	40	234
0	66	223
1	167	211
2	705	197
3	7452	197
0	8067	197

Stop Event

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

Counts

22 → 1 120

Calls

Call 1

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

Outputs
(.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 x y) #s(literal 4 binary64))) (/.f64 x (fma.f64 x y #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 x y) #s(literal 6 binary64)))) (fma.f64 (.f64 x y) (fma.f64 x y (pow.f64 (.f64 x y) #s(literal 3 binary64))) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 x y) #s(literal 4 binary64))) (/.f64 x (fma.f64 x y #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 x y) #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 x y) #s(literal 6 binary64))) (/.f64 x (fma.f64 x y #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 x y) #s(literal 8 binary64)) (pow.f64 (.f64 x y) #s(literal 4 binary64))))) (fma.f64 (.f64 x y) (fma.f64 x y (pow.f64 (*.f64 x y) #s(literal 3 binary64))) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 x y) #s(literal 6 binary64))) (/.f64 x (fma.f64 x y #s(literal 1 binary64)))) (+.f64 (pow.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 (.f64 x y) #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 x y) #s(literal 8 binary64))) (pow.f64 (.f64 x y) #s(literal 4 binary64))) (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 4 binary64)))))
(.f64 (/.f64 (.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) x) (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 x y) #s(literal 1 binary64))))
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(fma.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 x y) #s(literal 3 binary64)))) (.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 x y) #s(literal 3 binary64))))))
(fma.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 x y) #s(literal 3 binary64)))) (.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 x y) #s(literal 3 binary64))))))
(+.f64 (.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 x y) #s(literal 3 binary64))))) (.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64))))))
(+.f64 (.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 x y) #s(literal 3 binary64))))) (.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64))))))
(+.f64 (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 x y) #s(literal 3 binary64)))) (fma.f64 (neg.f64 y) x #s(literal 1 binary64))) (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 x y) #s(literal 3 binary64)))) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(+.f64 (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 x y) #s(literal 3 binary64)))) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (fma.f64 (neg.f64 y) x #s(literal 1 binary64))))
(.f64 #s(approx (/ x (+ ( y x) 1)) (pow.f64 y #s(literal -1 binary64))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) #s(approx (/ x (+ ( y x) 1)) (pow.f64 y #s(literal -1 binary64))))
#s(approx (/ x (+ (* y x) 1)) (pow.f64 y #s(literal -1 binary64)))

eval261.0ms (4.7%)

Memory: -2.2MiB live, 191.9MiB allocated
Compiler: Compiled 27 348 to 3 254 computations (88.1% saved)

prune23.0ms (0.4%)

Memory

24.7MiB live, 64.0MiB allocated

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	1 014	1	1 015
Fresh	0	0	0
Picked	1	4	5
Done	0	4	4
Total	1 015	9	1 024

Accuracy

100.0%

Counts

1 024 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (*.f64 (neg.f64 x) y) x x)
✓	78.4%	(-.f64 x (*.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) y))
✓	71.4%	(.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)))) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
✓	39.4%	(.f64 #s(approx (- 1 (pow ( y x) 2)) (.f64 (.f64 (.f64 (neg.f64 y) y) x) x)) #s(approx (/ x (+ ( y x) 1)) (/.f64 #s(literal 1 binary64) y)))
✓	29.7%	(.f64 #s(approx (- 1 (pow ( y x) 2)) (.f64 (.f64 (*.f64 (neg.f64 y) x) y) x)) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
	48.0%	(.f64 #s(approx (- 1 (pow ( y x) 2)) (.f64 (.f64 (neg.f64 y) x) (.f64 x y))) #s(approx (/ x (+ ( y x) 1)) (/.f64 #s(literal 1 binary64) y)))
✓	54.3%	(.f64 x #s(approx (- 1 ( x y)) (*.f64 (neg.f64 x) y)))
✓	47.6%	(.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64)))
✓	49.8%	#s(approx (* (- 1 (* (* y x) (* y x))) (/ x (+ (* y x) 1))) (.f64 (.f64 (neg.f64 x) x) y))

Compiler

Compiled 486 to 195 computations (59.9% saved)

regimes29.0ms (0.5%)

Memory

-10.3MiB live, 28.8MiB allocated

Counts

19 → 1

Calls

Call 1

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

Outputs
(fma.f64 (*.f64 (neg.f64 x) y) x x)

Calls

3 calls:

6.0ms	y
6.0ms	x
5.0ms	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes7.0ms (0.1%)

Memory

12.8MiB live, 12.8MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes23.0ms (0.4%)

Memory

-35.8MiB live, 10.3MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs

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

#s(approx (* (- 1 (* (* y x) (* y x))) (/ x (+ (* y x) 1))) (*.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:

19.0ms	x
2.0ms	y
2.0ms	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))

Results

Accuracy	Segments	Branch
76.5%	3	`x`
76.7%	3	`y`
85.5%	3	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes2.0ms (0%)

Memory

3.9MiB live, 3.9MiB allocated

Counts

2 → 3

Calls

Call 1

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

Outputs

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

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

#s(approx (* (- 1 (* (* y x) (* y x))) (/ x (+ (* y x) 1))) (*.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
82.5%	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

8.1MiB live, 8.1MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
47.6%	1	`x`
47.6%	1	`y`
47.6%	1	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.1522811424910635e+198	8.156062078791132e+205
0.0ms	-0.0006495552839342382	-3.965084899608637e-5

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.1522811424910635e+198	8.156062078791132e+205
0.0ms	-0.0006495552839342382	-3.965084899608637e-5

Compiler

Compiled 10 to 11 computations (-10% saved)

simplify65.0ms (1.2%)

Memory

0.3MiB live, 39.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	32	119
1	67	119
2	152	119
3	409	119
4	1320	117
5	2631	117
6	3879	117
7	5387	112
8	7823	112

Stop Event

1×	node limit

Calls

Call 1

Inputs
(fma.f64 (*.f64 (neg.f64 x) y) x x)
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))
(if (<=.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y))) #s(literal -1152921504606847/2305843009213693952 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 5000000000000000486031202442672326724878364240237470927923828819955650261110669617194088753258003880396378339073836923076302170214215142647864457235610681184975154073244321423156615667780219280818176 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 -1152921504606847/2305843009213693952 binary64)) #s(approx (* (- 1 (* (* y x) (* y x))) (/ x (+ (* y x) 1))) (.f64 (.f64 (neg.f64 x) x) y)) (if (<=.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y))) #s(literal 5000000000000000486031202442672326724878364240237470927923828819955650261110669617194088753258003880396378339073836923076302170214215142647864457235610681184975154073244321423156615667780219280818176 binary64)) (.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64))) #s(approx (* (- 1 (* (* y x) (* y x))) (/ x (+ (* y x) 1))) (.f64 (.f64 (neg.f64 x) x) y))))
(.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64)))

Outputs
(fma.f64 (*.f64 (neg.f64 x) y) x x)
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))
(if (<=.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y))) #s(literal -1152921504606847/2305843009213693952 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 5000000000000000486031202442672326724878364240237470927923828819955650261110669617194088753258003880396378339073836923076302170214215142647864457235610681184975154073244321423156615667780219280818176 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 -1152921504606847/2305843009213693952 binary64)) (not (<=.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y))) #s(literal 5000000000000000486031202442672326724878364240237470927923828819955650261110669617194088753258003880396378339073836923076302170214215142647864457235610681184975154073244321423156615667780219280818176 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 -1152921504606847/2305843009213693952 binary64)) #s(approx (* (- 1 (* (* y x) (* y x))) (/ x (+ (* y x) 1))) (.f64 (.f64 (neg.f64 x) x) y)) (if (<=.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y))) #s(literal 5000000000000000486031202442672326724878364240237470927923828819955650261110669617194088753258003880396378339073836923076302170214215142647864457235610681184975154073244321423156615667780219280818176 binary64)) (.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64))) #s(approx (* (- 1 (* (* y x) (* y x))) (/ x (+ (* y x) 1))) (.f64 (.f64 (neg.f64 x) x) y))))
(if (or (<=.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y))) #s(literal -1152921504606847/2305843009213693952 binary64)) (not (<=.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y))) #s(literal 5000000000000000486031202442672326724878364240237470927923828819955650261110669617194088753258003880396378339073836923076302170214215142647864457235610681184975154073244321423156615667780219280818176 binary64)))) #s(approx (* (- 1 (* (* y x) (* y x))) (/ x (+ (* y x) 1))) (.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)))

soundness1.0s (18.8%)

Memory

-2.6MiB live, 473.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	140	484
1	396	438
2	946	436
3	3225	429
4	7669	429
0	8070	423
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	32	221
0	57	221
1	240	219
2	1851	219
0	8153	219

Stop Event

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

Compiler

Compiled 205 to 90 computations (56.1% saved)

preprocess54.0ms (1%)

Memory: 14.7MiB live, 52.8MiB allocated
Compiler: Compiled 252 to 78 computations (69% 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	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

start0.0ms (0%)

analyze0.0ms (0%)

sample753.0ms (13.7%)

explain70.0ms (1.3%)

preprocess53.0ms (1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify16.0ms (0.3%)

localize18.0ms (0.3%)

series5.0ms (0.1%)

simplify151.0ms (2.7%)

rewrite206.0ms (3.7%)

eval43.0ms (0.8%)

prune43.0ms (0.8%)

simplify229.0ms (4.2%)

localize100.0ms (1.8%)

series55.0ms (1%)

simplify245.0ms (4.5%)

rewrite209.0ms (3.8%)

eval174.0ms (3.2%)

prune18.0ms (0.3%)

simplify143.0ms (2.6%)

localize95.0ms (1.7%)

series18.0ms (0.3%)

simplify124.0ms (2.2%)

rewrite254.0ms (4.6%)

eval148.0ms (2.7%)

prune21.0ms (0.4%)

simplify160.0ms (2.9%)

localize114.0ms (2.1%)

series23.0ms (0.4%)

simplify239.0ms (4.3%)

rewrite271.0ms (4.9%)

eval261.0ms (4.7%)

prune23.0ms (0.4%)

regimes29.0ms (0.5%)

regimes7.0ms (0.1%)

regimes23.0ms (0.4%)

regimes2.0ms (0%)

regimes4.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify65.0ms (1.2%)

soundness1.0s (18.8%)

preprocess54.0ms (1%)

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