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

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample877.0ms (17%)

Memory

42.1MiB live, 1 284.8MiB allocated; 375ms collecting garbage

Samples

620.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 387.0ms

ival-mult: 276.0ms (71.4% of total)

ival-sub: 96.0ms (24.8% of total)

ival-true: 5.0ms (1.3% of total)

exact: 5.0ms (1.3% of total)

ival-assert: 3.0ms (0.8% of total)

adjust: 2.0ms (0.5% of total)

Bogosity

explain81.0ms (1.6%)

Memory

-20.2MiB live, 139.7MiB allocated; 27ms collecting garbage

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

31.0ms

512×

valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

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

ival-mult: 7.0ms (67.2% of total)

ival-sub: 2.0ms (19.2% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

preprocess164.0ms (3.2%)

Memory

-27.5MiB live, 63.8MiB allocated; 15ms collecting garbage

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; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

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)

simplify13.0ms (0.2%)

Memory

26.0MiB live, 26.0MiB allocated; 0ms collecting garbage

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

localize23.0ms (0.5%)

Memory

-15.0MiB live, 36.3MiB allocated; 13ms collecting garbage

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	0.0703125	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))

Samples

18.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

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

ival-mult: 8.0ms (79.7% of total)

ival-sub: 1.0ms (10% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

10.0MiB live, 10.0MiB allocated; 0ms collecting garbage

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))

simplify233.0ms (4.5%)

Memory

13.8MiB live, 287.6MiB allocated; 49ms collecting garbage

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))

rewrite279.0ms (5.4%)

Memory

-25.5MiB live, 460.3MiB allocated; 72ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

3 → 375

Calls

Call 1

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

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

eval58.0ms (1.1%)

Memory: 2.0MiB live, 135.8MiB allocated; 14ms collecting garbage
Compiler: Compiled 10 774 to 1 179 computations (89.1% saved)

prune11.0ms (0.2%)

Memory

35.9MiB live, 35.9MiB allocated; 0ms collecting garbage

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	373	8	381
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	373	9	382

Accuracy

100.0%

Counts

382 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	92.4%	(fma.f64 (*.f64 x (neg.f64 x)) y x)
▶	83.0%	(.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))))
▶	32.6%	(.f64 x (fma.f64 (sqrt.f64 (.f64 (*.f64 (neg.f64 x) y) y)) (sqrt.f64 (neg.f64 x)) #s(literal 1 binary64)))
	34.6%	(.f64 x (fma.f64 (sqrt.f64 (.f64 (*.f64 y y) x)) (sqrt.f64 x) #s(literal 1 binary64)))
▶	32.2%	(.f64 x (fma.f64 (sqrt.f64 (.f64 (*.f64 x x) y)) (sqrt.f64 y) #s(literal 1 binary64)))
	83.0%	(.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 (neg.f64 y)) x) (.f64 (neg.f64 (neg.f64 y)) x))) (fma.f64 y x #s(literal 1 binary64))))
✓	99.9%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))
	52.8%	(.f64 x #s(approx (- 1 ( x y)) (*.f64 (neg.f64 x) y)))
▶	49.6%	(.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64)))

Compiler

Compiled 207 to 148 computations (28.5% saved)

simplify342.0ms (6.6%)

Memory

-7.9MiB live, 315.6MiB allocated; 55ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	168
0	54	168
1	98	168
2	213	168
3	601	168
4	1621	168
5	2877	168
6	5031	168
7	5213	168
8	5425	168
9	6073	168
10	7907	168
0	9007	168

Stop Event

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

Calls

Call 1

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

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

localize206.0ms (4%)

Memory

-12.4MiB live, 235.5MiB allocated; 64ms collecting garbage

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 y x)
accuracy	0.053066259768442016	(pow.f64 (*.f64 y x) #s(literal 2 binary64))
accuracy	0.9625739817965818	(.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	2.1290519599417292	(/.f64 x (fma.f64 y x #s(literal 1 binary64)))
accuracy	0.02734375	(fma.f64 (sqrt.f64 (.f64 (.f64 (neg.f64 x) y) y)) (sqrt.f64 (neg.f64 x)) #s(literal 1 binary64))
accuracy	0.03515625	(.f64 x (fma.f64 (sqrt.f64 (.f64 (*.f64 (neg.f64 x) y) y)) (sqrt.f64 (neg.f64 x)) #s(literal 1 binary64)))
accuracy	0.0390625	(.f64 (.f64 (neg.f64 x) y) y)
accuracy	5.1550083261329975	(sqrt.f64 (.f64 (.f64 (neg.f64 x) y) y))
accuracy	0.03125	(fma.f64 (sqrt.f64 (.f64 (.f64 x x) y)) (sqrt.f64 y) #s(literal 1 binary64))
accuracy	0.03515625	(.f64 x (fma.f64 (sqrt.f64 (.f64 (*.f64 x x) y)) (sqrt.f64 y) #s(literal 1 binary64)))
accuracy	1.2325158872520694	(.f64 (.f64 x x) y)
accuracy	4.083548821170825	(sqrt.f64 (.f64 (.f64 x x) y))
accuracy	0.03515625	(.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64)))
accuracy	7.9536754664743246	#s(approx (- 1 (* x y)) #s(literal 1 binary64))
accuracy	0.0	(*.f64 x (neg.f64 x))
accuracy	0.0	(neg.f64 x)
accuracy	1.2015720729552015	(fma.f64 (*.f64 x (neg.f64 x)) y x)

Samples

153.0ms	201×	0	invalid
12.0ms	55×	0	valid

Compiler

Compiled 174 to 33 computations (81% saved)

Precisions

Click to see histograms. Total time spent on operations: 128.0ms

ival-sub: 82.0ms (63.8% of total)

ival-mult: 20.0ms (15.6% of total)

ival-div: 13.0ms (10.1% of total)

ival-sqrt: 6.0ms (4.7% of total)

ival-add: 4.0ms (3.1% of total)

ival-pow2: 2.0ms (1.6% of total)

ival-neg: 1.0ms (0.8% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series54.0ms (1%)

Memory

0.9MiB live, 61.0MiB allocated; 17ms collecting garbage

Counts

18 → 66

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
29.0ms	y	@	0	((+ (* (* x (neg x)) y) x) (* x (neg x)) (neg x) (* x (- 1 (* x y))) (- 1 (* x y)) (* x (+ (* (sqrt (* (* x x) y)) (sqrt y)) 1)) (+ (* (sqrt (* (* x x) y)) (sqrt y)) 1) (sqrt (* (* x x) y)) (* (* x x) y) (* x (+ (* (sqrt (* (* (neg x) y) y)) (sqrt (neg x))) 1)) (+ (* (sqrt (* (* (neg x) y) y)) (sqrt (neg x))) 1) (sqrt (* (* (neg x) y) y)) (* (* (neg x) y) y) (* (- 1 (pow (* y x) 2)) (/ x (+ (* y x) 1))) (- 1 (pow (* y x) 2)) (pow (* y x) 2) (* y x) (/ x (+ (* y x) 1)))
6.0ms	x	@	0	((+ (* (* x (neg x)) y) x) (* x (neg x)) (neg x) (* x (- 1 (* x y))) (- 1 (* x y)) (* x (+ (* (sqrt (* (* x x) y)) (sqrt y)) 1)) (+ (* (sqrt (* (* x x) y)) (sqrt y)) 1) (sqrt (* (* x x) y)) (* (* x x) y) (* x (+ (* (sqrt (* (* (neg x) y) y)) (sqrt (neg x))) 1)) (+ (* (sqrt (* (* (neg x) y) y)) (sqrt (neg x))) 1) (sqrt (* (* (neg x) y) y)) (* (* (neg x) y) y) (* (- 1 (pow (* y x) 2)) (/ x (+ (* y x) 1))) (- 1 (pow (* y x) 2)) (pow (* y x) 2) (* y x) (/ x (+ (* y x) 1)))
5.0ms	x	@	inf	((+ (* (* x (neg x)) y) x) (* x (neg x)) (neg x) (* x (- 1 (* x y))) (- 1 (* x y)) (* x (+ (* (sqrt (* (* x x) y)) (sqrt y)) 1)) (+ (* (sqrt (* (* x x) y)) (sqrt y)) 1) (sqrt (* (* x x) y)) (* (* x x) y) (* x (+ (* (sqrt (* (* (neg x) y) y)) (sqrt (neg x))) 1)) (+ (* (sqrt (* (* (neg x) y) y)) (sqrt (neg x))) 1) (sqrt (* (* (neg x) y) y)) (* (* (neg x) y) y) (* (- 1 (pow (* y x) 2)) (/ x (+ (* y x) 1))) (- 1 (pow (* y x) 2)) (pow (* y x) 2) (* y x) (/ x (+ (* y x) 1)))
4.0ms	y	@	inf	((+ (* (* x (neg x)) y) x) (* x (neg x)) (neg x) (* x (- 1 (* x y))) (- 1 (* x y)) (* x (+ (* (sqrt (* (* x x) y)) (sqrt y)) 1)) (+ (* (sqrt (* (* x x) y)) (sqrt y)) 1) (sqrt (* (* x x) y)) (* (* x x) y) (* x (+ (* (sqrt (* (* (neg x) y) y)) (sqrt (neg x))) 1)) (+ (* (sqrt (* (* (neg x) y) y)) (sqrt (neg x))) 1) (sqrt (* (* (neg x) y) y)) (* (* (neg x) y) y) (* (- 1 (pow (* y x) 2)) (/ x (+ (* y x) 1))) (- 1 (pow (* y x) 2)) (pow (* y x) 2) (* y x) (/ x (+ (* y x) 1)))
4.0ms	y	@	-inf	((+ (* (* x (neg x)) y) x) (* x (neg x)) (neg x) (* x (- 1 (* x y))) (- 1 (* x y)) (* x (+ (* (sqrt (* (* x x) y)) (sqrt y)) 1)) (+ (* (sqrt (* (* x x) y)) (sqrt y)) 1) (sqrt (* (* x x) y)) (* (* x x) y) (* x (+ (* (sqrt (* (* (neg x) y) y)) (sqrt (neg x))) 1)) (+ (* (sqrt (* (* (neg x) y) y)) (sqrt (neg x))) 1) (sqrt (* (* (neg x) y) y)) (* (* (neg x) y) y) (* (- 1 (pow (* y x) 2)) (/ x (+ (* y x) 1))) (- 1 (pow (* y x) 2)) (pow (* y x) 2) (* y x) (/ x (+ (* y x) 1)))

simplify88.0ms (1.7%)

Memory

20.7MiB live, 150.5MiB allocated; 26ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	181	609
1	542	570
2	1350	564
0	3683	550

Stop Event

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

Counts

66 → 65

Calls

Call 1

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

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

rewrite369.0ms (7.2%)

Memory

-42.8MiB live, 462.8MiB allocated; 141ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	29	136
0	54	115
1	192	110
2	1225	88
0	10128	88

Stop Event

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

Counts

18 → 1 334

Calls

Call 1

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

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

eval200.0ms (3.9%)

Memory: 30.1MiB live, 260.0MiB allocated; 27ms collecting garbage
Compiler: Compiled 19 450 to 2 821 computations (85.5% saved)

prune28.0ms (0.5%)

Memory

-23.2MiB live, 77.7MiB allocated; 18ms collecting garbage

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	890	5	895
Fresh	2	1	3
Picked	2	3	5
Done	0	1	1
Total	894	10	904

Accuracy

100.0%

Counts

904 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	92.4%	(fma.f64 (*.f64 x (neg.f64 x)) y x)
	83.0%	(.f64 (fma.f64 (.f64 (*.f64 y x) x) (neg.f64 y) #s(literal 1 binary64)) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
▶	83.0%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 y x) (.f64 y x))) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
▶	48.7%	(.f64 x (fma.f64 (.f64 (sqrt.f64 y) x) (neg.f64 (sqrt.f64 y)) #s(literal 1 binary64)))
▶	50.7%	(.f64 x (fma.f64 (.f64 (sqrt.f64 x) (neg.f64 y)) (sqrt.f64 x) #s(literal 1 binary64)))
✓	32.6%	(.f64 x (fma.f64 (sqrt.f64 (.f64 (*.f64 (neg.f64 x) y) y)) (sqrt.f64 (neg.f64 x)) #s(literal 1 binary64)))
✓	99.9%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))
▶	52.8%	(.f64 x #s(approx (- 1 ( x y)) (*.f64 (neg.f64 x) y)))
✓	49.6%	(.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64)))
▶	3.0%	#s(approx (* x (+ (* (sqrt (* (* x x) y)) (sqrt y)) 1)) (.f64 (.f64 x x) y))

Compiler

Compiled 207 to 143 computations (30.9% saved)

simplify100.0ms (1.9%)

Memory

29.0MiB live, 162.6MiB allocated; 16ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	35	171
0	58	171
1	121	171
2	323	155
3	993	148
4	2223	148
5	3733	148
6	5527	146
0	8205	146

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

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

localize172.0ms (3.3%)

Memory

8.7MiB live, 151.3MiB allocated; 28ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0	(neg.f64 (sqrt.f64 y))
accuracy	0.015625	(.f64 x (fma.f64 (.f64 (sqrt.f64 y) x) (neg.f64 (sqrt.f64 y)) #s(literal 1 binary64)))
accuracy	0.04296875	(fma.f64 (*.f64 (sqrt.f64 y) x) (neg.f64 (sqrt.f64 y)) #s(literal 1 binary64))
accuracy	0.0625	(*.f64 (sqrt.f64 y) x)
accuracy	0.0	(neg.f64 y)
accuracy	0.015625	(.f64 x (fma.f64 (.f64 (sqrt.f64 x) (neg.f64 y)) (sqrt.f64 x) #s(literal 1 binary64)))
accuracy	0.05078125	(fma.f64 (*.f64 (sqrt.f64 x) (neg.f64 y)) (sqrt.f64 x) #s(literal 1 binary64))
accuracy	0.08203125	(*.f64 (sqrt.f64 x) (neg.f64 y))
accuracy	0.0	(*.f64 (neg.f64 x) y)
accuracy	0.0	(neg.f64 x)
accuracy	0.015625	(.f64 x #s(approx (- 1 ( x y)) (*.f64 (neg.f64 x) y)))
accuracy	8.570452354231591	#s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y))
accuracy	0.0	(*.f64 x x)
accuracy	2.2954123287865835	(.f64 (.f64 x x) y)
accuracy	8.271199956396549	#s(approx (* x (+ (* (sqrt (* (* x x) y)) (sqrt y)) 1)) (.f64 (.f64 x x) y))
accuracy	0.0	(*.f64 y x)
accuracy	0.07421875	(.f64 (.f64 y x) (*.f64 y x))
accuracy	1.6490855420362953	(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 y x) (.f64 y x))) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
accuracy	1.8765074293240755	(/.f64 x (fma.f64 y x #s(literal 1 binary64)))

Samples

137.0ms	186×	0	invalid
15.0ms	70×	0	valid

Compiler

Compiled 164 to 34 computations (79.3% saved)

Precisions

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

ival-add: 38.0ms (44.2% of total)

ival-mult: 36.0ms (41.9% of total)

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

ival-neg: 3.0ms (3.5% of total)

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

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

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series48.0ms (0.9%)

Memory

-49.7MiB live, 56.6MiB allocated; 36ms collecting garbage

Counts

22 → 64

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

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

Calls

6 calls:

Time	Variable		Point	Expression
22.0ms	x	@	0	((* (- 1 (* (* y x) (* y x))) (/ x (+ (* y x) 1))) (- 1 (* (* y x) (* y x))) (* (* y x) (* y x)) (* y x) (* x (+ (* (sqrt (* (* x x) y)) (sqrt y)) 1)) (* (* x x) y) (* x x) (* x (- 1 (* x y))) (- 1 (* x y)) (* (neg x) y) (neg x) (+ (* (* (sqrt x) (neg y)) (sqrt x)) 1) (* x (+ (* (* (sqrt x) (neg y)) (sqrt x)) 1)) (* (sqrt x) (neg y)) (sqrt x) (+ (* (* (sqrt y) x) (neg (sqrt y))) 1) (* x (+ (* (* (sqrt y) x) (neg (sqrt y))) 1)) (* (sqrt y) x) (sqrt y) (/ x (+ (* y x) 1)) (neg y) (neg (sqrt y)))
12.0ms	y	@	-inf	((* (- 1 (* (* y x) (* y x))) (/ x (+ (* y x) 1))) (- 1 (* (* y x) (* y x))) (* (* y x) (* y x)) (* y x) (* x (+ (* (sqrt (* (* x x) y)) (sqrt y)) 1)) (* (* x x) y) (* x x) (* x (- 1 (* x y))) (- 1 (* x y)) (* (neg x) y) (neg x) (+ (* (* (sqrt x) (neg y)) (sqrt x)) 1) (* x (+ (* (* (sqrt x) (neg y)) (sqrt x)) 1)) (* (sqrt x) (neg y)) (sqrt x) (+ (* (* (sqrt y) x) (neg (sqrt y))) 1) (* x (+ (* (* (sqrt y) x) (neg (sqrt y))) 1)) (* (sqrt y) x) (sqrt y) (/ x (+ (* y x) 1)) (neg y) (neg (sqrt y)))
4.0ms	x	@	-inf	((* (- 1 (* (* y x) (* y x))) (/ x (+ (* y x) 1))) (- 1 (* (* y x) (* y x))) (* (* y x) (* y x)) (* y x) (* x (+ (* (sqrt (* (* x x) y)) (sqrt y)) 1)) (* (* x x) y) (* x x) (* x (- 1 (* x y))) (- 1 (* x y)) (* (neg x) y) (neg x) (+ (* (* (sqrt x) (neg y)) (sqrt x)) 1) (* x (+ (* (* (sqrt x) (neg y)) (sqrt x)) 1)) (* (sqrt x) (neg y)) (sqrt x) (+ (* (* (sqrt y) x) (neg (sqrt y))) 1) (* x (+ (* (* (sqrt y) x) (neg (sqrt y))) 1)) (* (sqrt y) x) (sqrt y) (/ x (+ (* y x) 1)) (neg y) (neg (sqrt y)))
3.0ms	x	@	inf	((* (- 1 (* (* y x) (* y x))) (/ x (+ (* y x) 1))) (- 1 (* (* y x) (* y x))) (* (* y x) (* y x)) (* y x) (* x (+ (* (sqrt (* (* x x) y)) (sqrt y)) 1)) (* (* x x) y) (* x x) (* x (- 1 (* x y))) (- 1 (* x y)) (* (neg x) y) (neg x) (+ (* (* (sqrt x) (neg y)) (sqrt x)) 1) (* x (+ (* (* (sqrt x) (neg y)) (sqrt x)) 1)) (* (sqrt x) (neg y)) (sqrt x) (+ (* (* (sqrt y) x) (neg (sqrt y))) 1) (* x (+ (* (* (sqrt y) x) (neg (sqrt y))) 1)) (* (sqrt y) x) (sqrt y) (/ x (+ (* y x) 1)) (neg y) (neg (sqrt y)))
3.0ms	y	@	inf	((* (- 1 (* (* y x) (* y x))) (/ x (+ (* y x) 1))) (- 1 (* (* y x) (* y x))) (* (* y x) (* y x)) (* y x) (* x (+ (* (sqrt (* (* x x) y)) (sqrt y)) 1)) (* (* x x) y) (* x x) (* x (- 1 (* x y))) (- 1 (* x y)) (* (neg x) y) (neg x) (+ (* (* (sqrt x) (neg y)) (sqrt x)) 1) (* x (+ (* (* (sqrt x) (neg y)) (sqrt x)) 1)) (* (sqrt x) (neg y)) (sqrt x) (+ (* (* (sqrt y) x) (neg (sqrt y))) 1) (* x (+ (* (* (sqrt y) x) (neg (sqrt y))) 1)) (* (sqrt y) x) (sqrt y) (/ x (+ (* y x) 1)) (neg y) (neg (sqrt y)))

simplify145.0ms (2.8%)

Memory

27.9MiB live, 162.9MiB allocated; 14ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	184	569
1	541	532
2	1381	526
0	3767	516

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound

Counts

64 → 63

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

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

rewrite120.0ms (2.3%)

Memory

14.2MiB live, 200.1MiB allocated; 26ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	35	154
0	58	146
1	202	134
2	1336	115
0	9561	115

Stop Event

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

Counts

22 → 869

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

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

eval124.0ms (2.4%)

Memory: -5.2MiB live, 184.0MiB allocated; 23ms collecting garbage
Compiler: Compiled 16 032 to 2 405 computations (85% saved)

prune37.0ms (0.7%)

Memory

-12.4MiB live, 45.1MiB allocated; 9ms collecting garbage

Pruning

11 alts after pruning (5 fresh and 6 done)

	Pruned	Kept	Total
New	759	4	763
Fresh	0	1	1
Picked	3	2	5
Done	0	4	4
Total	762	11	773

Accuracy

100.0%

Counts

773 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	92.4%	(fma.f64 (*.f64 x (neg.f64 x)) y x)
▶	83.0%	(.f64 (fma.f64 (.f64 (*.f64 y x) x) (neg.f64 y) #s(literal 1 binary64)) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
▶	47.3%	(.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)))
✓	32.6%	(.f64 x (fma.f64 (sqrt.f64 (.f64 (*.f64 (neg.f64 x) y) y)) (sqrt.f64 (neg.f64 x)) #s(literal 1 binary64)))
✓	99.9%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))
✓	52.8%	(.f64 x #s(approx (- 1 ( x y)) (*.f64 (neg.f64 x) y)))
✓	49.6%	(.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64)))
▶	48.1%	#s(approx (* (- 1 (* (* y x) (* y x))) (/ x (+ (* y x) 1))) (.f64 (.f64 (neg.f64 x) x) y))
▶	25.8%	#s(approx (* x (+ (* (sqrt (* (* x x) y)) (sqrt y)) 1)) (.f64 (.f64 x (*.f64 (sqrt.f64 y) x)) (neg.f64 (sqrt.f64 y))))
✓	3.0%	#s(approx (* x (+ (* (sqrt (* (* x x) y)) (sqrt y)) 1)) (.f64 (.f64 x x) y))
▶	25.4%	#s(approx (* x (+ (* (sqrt (* (* x x) y)) (sqrt y)) 1)) (.f64 (sqrt.f64 x) (neg.f64 (.f64 (*.f64 (sqrt.f64 x) y) x))))

Compiler

Compiled 286 to 187 computations (34.6% saved)

simplify101.0ms (2%)

Memory

-0.5MiB live, 87.3MiB allocated; 10ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	44	246
0	71	238
1	138	238
2	332	230
3	995	228
4	2273	216
5	3946	212
6	5908	212
0	8254	212

Stop Event

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

Calls

Call 1

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

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

localize103.0ms (2%)

Memory

2.0MiB live, 152.9MiB allocated; 29ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.03515625	(.f64 x (.f64 (sqrt.f64 y) x))
accuracy	0.0625	(*.f64 (sqrt.f64 y) x)
accuracy	1.6530987345136259	(.f64 (.f64 x (*.f64 (sqrt.f64 y) x)) (neg.f64 (sqrt.f64 y)))
accuracy	17.146552904986994	#s(approx (* x (+ (* (sqrt (* (* x x) y)) (sqrt y)) 1)) (.f64 (.f64 x (*.f64 (sqrt.f64 y) x)) (neg.f64 (sqrt.f64 y))))
accuracy	0.05078125	(.f64 (sqrt.f64 x) (neg.f64 (.f64 (*.f64 (sqrt.f64 x) y) x)))
accuracy	0.0546875	(.f64 (.f64 (sqrt.f64 x) y) x)
accuracy	0.08203125	(*.f64 (sqrt.f64 x) y)
accuracy	17.146552904986994	#s(approx (* x (+ (* (sqrt (* (* x x) y)) (sqrt y)) 1)) (.f64 (sqrt.f64 x) (neg.f64 (.f64 (*.f64 (sqrt.f64 x) y) x))))
accuracy	0.0	(*.f64 y x)
accuracy	0.07421875	(.f64 (.f64 y x) (*.f64 y x))
accuracy	1.6490855420362953	(.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	8.335258732196095	#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	2.2954123287865835	(.f64 (.f64 (neg.f64 x) x) y)
accuracy	8.470994271544418	#s(approx (* (- 1 (* (* y x) (* y x))) (/ x (+ (* y x) 1))) (.f64 (.f64 (neg.f64 x) x) y))
accuracy	0.0234375	(.f64 (.f64 y x) x)
accuracy	0.2528871034257929	(fma.f64 (.f64 (.f64 y x) x) (neg.f64 y) #s(literal 1 binary64))
accuracy	1.6490855420362953	(.f64 (fma.f64 (.f64 (*.f64 y x) x) (neg.f64 y) #s(literal 1 binary64)) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
accuracy	1.8765074293240755	(/.f64 x (fma.f64 y x #s(literal 1 binary64)))

Samples

40.0ms	186×	0	invalid
39.0ms	70×	0	valid

Compiler

Compiled 219 to 36 computations (83.6% saved)

Precisions

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

ival-mult: 35.0ms (68.3% of total)

ival-sqrt: 4.0ms (7.8% of total)

ival-neg: 4.0ms (7.8% of total)

ival-div: 3.0ms (5.9% of total)

ival-add: 3.0ms (5.9% of total)

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

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series26.0ms (0.5%)

Memory

8.9MiB live, 54.9MiB allocated; 3ms collecting garbage

Counts

23 → 54

Calls

Call 1

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

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

Calls

6 calls:

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

simplify122.0ms (2.4%)

Memory

-2.9MiB live, 138.5MiB allocated; 19ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	165	537
1	485	497
2	1305	495
3	3280	488
0	8415	477

Stop Event

1×	iter limit
1×	node limit

Counts

54 → 53

Calls

Call 1

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

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

rewrite167.0ms (3.3%)

Memory

22.2MiB live, 213.1MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	44	217
0	71	193
1	200	187
2	1155	145
0	9704	145

Stop Event

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

Counts

23 → 851

Calls

Call 1

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

Outputs
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 4 binary64)) #s(literal 1 binary64)) (/.f64 x (fma.f64 x y #s(literal 1 binary64)))) (-.f64 (pow.f64 (.f64 x y) #s(literal 6 binary64)) #s(literal 1 binary64))) (-.f64 (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 4 binary64))))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 4 binary64)) #s(literal 1 binary64)) (/.f64 x (fma.f64 x y #s(literal 1 binary64)))) (-.f64 (pow.f64 (.f64 x y) #s(literal 4 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #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 (pow.f64 (.f64 x y) #s(literal 8 binary64)) (neg.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 4 binary64)) #s(literal 1 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 (/.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 x y) #s(literal 12 binary64)) (pow.f64 (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 x y) #s(literal 8 binary64)) (.f64 (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 4 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 6 binary64)))) (-.f64 (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 4 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)))) (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #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 (-.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 (fma.f64 x y #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 x y) #s(literal 4 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) (pow.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 4 binary64)) (pow.f64 (.f64 x y) #s(literal 2 binary64))) #s(literal 3 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 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(.f64 (/.f64 (.f64 (/.f64 x (fma.f64 x y #s(literal 1 binary64))) (-.f64 (pow.f64 (.f64 x y) #s(literal 4 binary64)) #s(literal 1 binary64))) (-.f64 (pow.f64 (.f64 x y) #s(literal 6 binary64)) #s(literal 1 binary64))) (-.f64 (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 4 binary64))))
(.f64 (/.f64 (.f64 (/.f64 x (fma.f64 x y #s(literal 1 binary64))) (-.f64 (pow.f64 (.f64 x y) #s(literal 4 binary64)) #s(literal 1 binary64))) (-.f64 (pow.f64 (.f64 x y) #s(literal 4 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal 2 binary64)))
(.f64 (/.f64 (/.f64 (fma.f64 (pow.f64 (.f64 x y) #s(literal 6 binary64)) x x) (fma.f64 x y #s(literal 1 binary64))) (-.f64 (pow.f64 (.f64 x y) #s(literal 8 binary64)) (neg.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 4 binary64)) #s(literal 1 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 (/.f64 (/.f64 (fma.f64 (pow.f64 (.f64 x y) #s(literal 6 binary64)) x x) (fma.f64 x y #s(literal 1 binary64))) (+.f64 (pow.f64 (.f64 x y) #s(literal 12 binary64)) (pow.f64 (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 x y) #s(literal 8 binary64)) (.f64 (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 x y) #s(literal 4 binary64))))))
(.f64 (/.f64 (.f64 (/.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 6 binary64)))) (-.f64 (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 4 binary64))))
(.f64 (/.f64 (.f64 (/.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 4 binary64)))) (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal 2 binary64)))
(.f64 (/.f64 (/.f64 (fma.f64 (pow.f64 (.f64 x y) #s(literal 6 binary64)) x x) (fma.f64 x y #s(literal 1 binary64))) (+.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 (fma.f64 x y #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 4 binary64))))
(.f64 (/.f64 (/.f64 (fma.f64 (pow.f64 (.f64 x y) #s(literal 6 binary64)) x x) (fma.f64 x y #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 4 binary64)) (pow.f64 (.f64 x y) #s(literal 2 binary64))) #s(literal 3 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 4 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 3 binary64))) 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 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 x y #s(literal 1 binary64))))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 x y) #s(literal 3 binary64))) 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 (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 (fma.f64 x y #s(literal 1 binary64)) #s(literal 2 binary64)) x) (-.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 (fma.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) x 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 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 x y #s(literal 1 binary64))))
(.f64 (/.f64 (fma.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) x x) (+.f64 (pow.f64 (.f64 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 (fma.f64 x y #s(literal 1 binary64)) (/.f64 x (fma.f64 x y #s(literal 1 binary64)))) (fma.f64 x y #s(literal 1 binary64)))
(.f64 (.f64 (fma.f64 x y #s(literal 1 binary64)) (/.f64 x (fma.f64 x y #s(literal 1 binary64)))) (fma.f64 x y #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal 2 binary64)) x) (+.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (fma.f64 x y #s(literal 1 binary64)) (.f64 x y) #s(literal 1 binary64))))
(.f64 (/.f64 (.f64 (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal 2 binary64)) x) (+.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 (fma.f64 x y #s(literal 1 binary64)) x)
(*.f64 (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal 2 binary64)) (/.f64 x (fma.f64 x y #s(literal 1 binary64))))
(*.f64 (/.f64 x (fma.f64 x y #s(literal 1 binary64))) (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal 2 binary64)))
(.f64 x (-.f64 (.f64 x y) #s(literal -1 binary64)))
(*.f64 x (fma.f64 x y #s(literal 1 binary64)))
(*.f64 x (fma.f64 x y #s(literal -1 binary64)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal -1 binary64)) x) (neg.f64 (fma.f64 (fma.f64 x y #s(literal 1 binary64)) (*.f64 x y) #s(literal 1 binary64))))
(/.f64 (.f64 (.f64 (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal 2 binary64)) x) (fma.f64 x y #s(literal -1 binary64))) (neg.f64 (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 (.f64 (.f64 (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal 2 binary64)) x) (fma.f64 (fma.f64 x y #s(literal 1 binary64)) (.f64 x y) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 x y) #s(literal 3 binary64))))
(/.f64 (.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (.f64 x y) #s(literal 4 binary64))) (/.f64 x (fma.f64 x y #s(literal 1 binary64)))) (neg.f64 (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 x y) #s(literal 6 binary64)) #s(literal -1 binary64)) (/.f64 x (fma.f64 x y #s(literal 1 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 (neg.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 x (fma.f64 x y #s(literal 1 binary64)))) (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (.f64 x (+.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (fma.f64 x y #s(literal 1 binary64)) (*.f64 x y) #s(literal 1 binary64))))
(/.f64 (.f64 (.f64 (fma.f64 x y #s(literal 1 binary64)) (/.f64 x (fma.f64 x y #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 (fma.f64 x y #s(literal 1 binary64)) (/.f64 x (fma.f64 x y #s(literal 1 binary64)))) (neg.f64 (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal 2 binary64)))) (fma.f64 x y #s(literal 1 binary64)))
(/.f64 (.f64 (/.f64 (.f64 (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal 2 binary64)) x) (+.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal -1 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 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 x y #s(literal 1 binary64))))
(/.f64 (.f64 (/.f64 (.f64 (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal 2 binary64)) x) (+.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal -1 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)))))
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(*.f64 (neg.f64 y) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 x (.f64 (sqrt.f64 x) (neg.f64 y)))
(.f64 x (.f64 (sqrt.f64 x) y))
(*.f64 y (pow.f64 x #s(literal 3/2 binary64)))
(neg.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) y))
(.f64 (fabs.f64 (.f64 (sqrt.f64 y) x)) (fabs.f64 (*.f64 (sqrt.f64 y) x)))
(.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (sqrt.f64 x) (neg.f64 y)))
(.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (sqrt.f64 x) y))
(.f64 (.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (neg.f64 y))) x)
(.f64 (.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y)) x)
(.f64 (neg.f64 (sqrt.f64 x)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) y))
(.f64 (.f64 (sqrt.f64 x) (neg.f64 y)) (*.f64 x (sqrt.f64 x)))
(.f64 (.f64 x y) x)
(.f64 (neg.f64 (sqrt.f64 y)) (.f64 (sqrt.f64 y) (*.f64 x x)))
(.f64 (.f64 (sqrt.f64 y) (*.f64 x x)) (neg.f64 (sqrt.f64 y)))
(.f64 (.f64 (sqrt.f64 y) (*.f64 x x)) (sqrt.f64 y))
(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (*.f64 x x)))
(.f64 (.f64 (sqrt.f64 y) x) (*.f64 (sqrt.f64 y) x))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 (.f64 x x) y)
(.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) y) (neg.f64 (sqrt.f64 x)))
(.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) y) (sqrt.f64 x))
(.f64 (.f64 (sqrt.f64 x) y) (*.f64 x (sqrt.f64 x)))
(.f64 (sqrt.f64 x) (.f64 (pow.f64 x #s(literal 3/2 binary64)) y))
(.f64 (neg.f64 y) (.f64 x x))
(.f64 (.f64 (*.f64 x y) x) #s(literal 1 binary64))
(.f64 x (.f64 x y))
(.f64 y (.f64 x x))
(pow.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 y y)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (sqrt.f64 y) x) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 x y) x) #s(literal 1 binary64))
(neg.f64 (.f64 (.f64 x y) x))
(sqrt.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 y y)))
(exp.f64 (fma.f64 (log.f64 (.f64 (.f64 x y) x)) #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 (*.f64 x y) x)) #s(literal 1/2 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 (.f64 x y) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
#s(approx (* (- 1 (* (* y x) (* y x))) (/ x (+ (* y x) 1))) (.f64 (.f64 x y) x))
(.f64 (.f64 (pow.f64 y #s(literal 1/4 binary64)) x) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) x))
(.f64 (.f64 x (pow.f64 y #s(literal 1/4 binary64))) (*.f64 x (pow.f64 y #s(literal 1/4 binary64))))
(.f64 (neg.f64 (sqrt.f64 y)) (.f64 x x))
(.f64 (sqrt.f64 y) (.f64 x x))
(.f64 (.f64 (sqrt.f64 y) x) x)
(.f64 (.f64 x x) (neg.f64 (sqrt.f64 y)))
(.f64 (.f64 x x) (sqrt.f64 y))
(.f64 x (.f64 (sqrt.f64 y) x))
(neg.f64 (.f64 (sqrt.f64 y) (.f64 x x)))
(exp.f64 (fma.f64 (log.f64 y) #s(literal 1/2 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 y) #s(literal 1/2 binary64))))
(.f64 (neg.f64 (sqrt.f64 (.f64 x y))) (sqrt.f64 x))
(.f64 (neg.f64 (.f64 (pow.f64 y #s(literal 1/4 binary64)) (sqrt.f64 x))) (neg.f64 (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (sqrt.f64 x))))
(.f64 (neg.f64 (.f64 (pow.f64 y #s(literal 1/4 binary64)) (sqrt.f64 x))) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (sqrt.f64 x)))
(.f64 (fabs.f64 (.f64 (pow.f64 y #s(literal 1/4 binary64)) (sqrt.f64 x))) (fabs.f64 (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (sqrt.f64 x))))
(.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (.f64 x y)))
(.f64 (.f64 (pow.f64 y #s(literal 1/4 binary64)) (sqrt.f64 x)) (neg.f64 (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (sqrt.f64 x))))
(.f64 (.f64 (pow.f64 y #s(literal 1/4 binary64)) (sqrt.f64 x)) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (sqrt.f64 x)))
(.f64 (sqrt.f64 (.f64 x y)) (neg.f64 (sqrt.f64 x)))
(.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 x))
(*.f64 (neg.f64 (sqrt.f64 y)) x)
(*.f64 (sqrt.f64 y) x)
(.f64 (.f64 (sqrt.f64 y) x) #s(literal 1 binary64))
(.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (.f64 x y))))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x y)))
(*.f64 x (neg.f64 (sqrt.f64 y)))
(*.f64 x (sqrt.f64 y))
(pow.f64 (exp.f64 (log.f64 (.f64 (.f64 x y) x))) #s(literal 1/2 binary64))
(pow.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 y y)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (sqrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 x y) x) #s(literal 1/2 binary64))
(neg.f64 (*.f64 (sqrt.f64 y) x))
(sqrt.f64 (.f64 (.f64 x y) x))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 x y) x)) #s(literal 1/2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 (.f64 (.f64 x y) x)) #s(literal 1/2 binary64))) (sinh.f64 (.f64 (log.f64 (.f64 (.f64 x y) x)) #s(literal 1/2 binary64))))
(*.f64 (/.f64 x (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal 2 binary64))) (fma.f64 x y #s(literal 1 binary64)))
(*.f64 (/.f64 x (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal 2 binary64))) (fma.f64 x y #s(literal -1 binary64)))
(.f64 (/.f64 x (+.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (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 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 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 (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 (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal 2 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 (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal 2 binary64))) (neg.f64 (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal 2 binary64)))) (fma.f64 x y #s(literal 1 binary64)))
(/.f64 (.f64 (/.f64 x (+.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal -1 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 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 x y #s(literal 1 binary64))))
(/.f64 (.f64 (/.f64 x (+.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal -1 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 x (-.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (.f64 (neg.f64 (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal 2 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 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 x y #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 (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal 2 binary64)) x) (neg.f64 (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal 3 binary64))))
(/.f64 (*.f64 (fma.f64 x y #s(literal 1 binary64)) x) (neg.f64 (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 x (fma.f64 x y #s(literal 1 binary64)))
(/.f64 x (fma.f64 x y #s(literal -1 binary64)))
(neg.f64 (/.f64 x (fma.f64 x y #s(literal 1 binary64))))
(fma.f64 (/.f64 x (+.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 x y #s(literal 1 binary64)) (.f64 (/.f64 x (+.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal -1 binary64))) (pow.f64 (.f64 x y) #s(literal 2 binary64))))
(fma.f64 (/.f64 x (+.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal -1 binary64))) (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 (/.f64 x (+.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 x y #s(literal 1 binary64))))
(fma.f64 (fma.f64 x y #s(literal 1 binary64)) (/.f64 x (+.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal -1 binary64))) (.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (/.f64 x (+.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal -1 binary64)))))
(fma.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (/.f64 x (+.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal -1 binary64))) (.f64 (fma.f64 x y #s(literal 1 binary64)) (/.f64 x (+.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal -1 binary64)))))
(+.f64 (.f64 (fma.f64 x y #s(literal 1 binary64)) (/.f64 x (+.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal -1 binary64)))) (.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (/.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)) (/.f64 x (+.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal -1 binary64)))) (.f64 (fma.f64 x y #s(literal 1 binary64)) (/.f64 x (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal -1 binary64)))))
(+.f64 (.f64 (/.f64 x (+.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 x y #s(literal 1 binary64))) (.f64 (/.f64 x (+.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal -1 binary64))) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(+.f64 (.f64 (/.f64 x (+.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal -1 binary64))) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (.f64 (/.f64 x (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 x y #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)))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (neg.f64 y))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) y)
(.f64 (.f64 x (sqrt.f64 x)) (neg.f64 y))
(.f64 (.f64 x (sqrt.f64 x)) y)
(.f64 (neg.f64 (sqrt.f64 x)) (.f64 x y))
(.f64 (.f64 (sqrt.f64 x) (neg.f64 y)) x)
(.f64 (.f64 x y) (neg.f64 (sqrt.f64 x)))
(.f64 (.f64 x y) (sqrt.f64 x))
(.f64 (.f64 (sqrt.f64 x) y) x)
(.f64 (sqrt.f64 x) (.f64 x y))
(*.f64 (neg.f64 y) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 x (.f64 (sqrt.f64 x) (neg.f64 y)))
(.f64 x (.f64 (sqrt.f64 x) y))
(*.f64 y (pow.f64 x #s(literal 3/2 binary64)))
(neg.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) y))

eval94.0ms (1.8%)

Memory: -1.9MiB live, 220.4MiB allocated; 41ms collecting garbage
Compiler: Compiled 20 952 to 2 291 computations (89.1% saved)

prune56.0ms (1.1%)

Memory

11.2MiB live, 57.6MiB allocated; 3ms collecting garbage

Pruning

11 alts after pruning (2 fresh and 9 done)

	Pruned	Kept	Total
New	757	2	759
Fresh	0	0	0
Picked	1	4	5
Done	1	5	6
Total	759	11	770

Accuracy

100.0%

Counts

770 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	92.4%	(fma.f64 (*.f64 x (neg.f64 x)) y x)
✓	83.0%	(.f64 (fma.f64 (.f64 (*.f64 y x) x) (neg.f64 y) #s(literal 1 binary64)) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
	38.9%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y y) x) x)) #s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y)))
	43.9%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x y) y) x)) #s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y)))
✓	47.3%	(.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)))
✓	99.9%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))
✓	52.8%	(.f64 x #s(approx (- 1 ( x y)) (*.f64 (neg.f64 x) y)))
✓	49.6%	(.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64)))
✓	48.1%	#s(approx (* (- 1 (* (* y x) (* y x))) (/ x (+ (* y x) 1))) (.f64 (.f64 (neg.f64 x) x) y))
✓	25.8%	#s(approx (* x (+ (* (sqrt (* (* x x) y)) (sqrt y)) 1)) (.f64 (.f64 x (*.f64 (sqrt.f64 y) x)) (neg.f64 (sqrt.f64 y))))
✓	3.0%	#s(approx (* x (+ (* (sqrt (* (* x x) y)) (sqrt y)) 1)) (.f64 (.f64 x x) y))

Compiler

Compiled 496 to 217 computations (56.3% saved)

regimes53.0ms (1%)

Memory

-21.5MiB live, 45.4MiB allocated; 17ms collecting garbage

Counts

20 → 1

Calls

Call 1

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

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

Calls

3 calls:

41.0ms	x
5.0ms	y
5.0ms	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes6.0ms (0.1%)

Memory

14.1MiB live, 14.1MiB allocated; 0ms collecting garbage

Counts

4 → 3

Calls

Call 1

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

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

Results

Accuracy	Segments	Branch
84.2%	3	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))`
78.4%	3	`x`
76.5%	3	`y`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes2.0ms (0%)

Memory

4.3MiB live, 4.3MiB allocated; 0ms collecting garbage

Counts

3 → 3

Calls

Call 1

Inputs

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

#s(approx (* x (+ (* (sqrt (* (* x x) y)) (sqrt y)) 1)) (*.f64 (*.f64 x x) y))

#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
82.4%	3	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes24.0ms (0.5%)

Memory

-35.1MiB live, 9.9MiB allocated; 4ms collecting garbage

Accuracy

Total -29.8b remaining (-92.4%)

Threshold costs -29.8b (-92.4%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

3 calls:

21.0ms	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))
1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
49.6%	1	`y`
49.6%	1	`x`
49.6%	1	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.9548759492839125e+176	2.669696266765985e+181
0.0ms	-1.6131177553249473e-20	-1.7873505337051791e-28

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.9548759492839125e+176	2.669696266765985e+181
0.0ms	-1.6131177553249473e-20	-1.7873505337051791e-28

Compiler

Compiled 10 to 11 computations (-10% saved)

simplify70.0ms (1.4%)

Memory

17.7MiB live, 61.3MiB allocated; 5ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	31	112
1	66	112
2	152	112
3	419	112
4	1322	110
5	2631	110
6	3875	110
7	5383	105
8	7819	105

Stop Event

1×	node limit

Calls

Call 1

Inputs
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))
(if (<=.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y))) #s(literal -6646139978924579/664613997892457936451903530140172288 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 200000000000000001489796100414863978288398987716630774471928508262527970493563232052743975274781411681693120520556929256745086766561954636618113848223247767419307779472087842816 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 -6646139978924579/664613997892457936451903530140172288 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 200000000000000001489796100414863978288398987716630774471928508262527970493563232052743975274781411681693120520556929256745086766561954636618113848223247767419307779472087842816 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
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))
(if (<=.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y))) #s(literal -6646139978924579/664613997892457936451903530140172288 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 200000000000000001489796100414863978288398987716630774471928508262527970493563232052743975274781411681693120520556929256745086766561954636618113848223247767419307779472087842816 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 -6646139978924579/664613997892457936451903530140172288 binary64)) (not (<=.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y))) #s(literal 200000000000000001489796100414863978288398987716630774471928508262527970493563232052743975274781411681693120520556929256745086766561954636618113848223247767419307779472087842816 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 -6646139978924579/664613997892457936451903530140172288 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 200000000000000001489796100414863978288398987716630774471928508262527970493563232052743975274781411681693120520556929256745086766561954636618113848223247767419307779472087842816 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 -6646139978924579/664613997892457936451903530140172288 binary64)) (not (<=.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y))) #s(literal 200000000000000001489796100414863978288398987716630774471928508262527970493563232052743975274781411681693120520556929256745086766561954636618113848223247767419307779472087842816 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)))

derivations526.0ms (10.2%)

Memory

12.2MiB live, 581.0MiB allocated; 63ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	85
1	112	75
2	258	75
3	810	75
4	3460	75
0	8106	75
0	29	136
0	54	115
1	192	110
2	1225	88
0	10128	88
0	184	569
1	541	532
2	1381	526
0	3767	516
0	6	15
0	9	15
1	30	15
2	176	15
3	1449	15
0	8912	13

Stop Event

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

Compiler

Compiled 112 to 32 computations (71.4% saved)

preprocess24.0ms (0.5%)

Memory: -2.1MiB live, 44.3MiB allocated; 2ms collecting garbage
Compiler: Compiled 238 to 76 computations (68.1% saved)

end0.0ms (0%)

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

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%)

sample877.0ms (17%)

explain81.0ms (1.6%)

preprocess164.0ms (3.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify13.0ms (0.2%)

localize23.0ms (0.5%)

series5.0ms (0.1%)

simplify233.0ms (4.5%)

rewrite279.0ms (5.4%)

eval58.0ms (1.1%)

prune11.0ms (0.2%)

simplify342.0ms (6.6%)

localize206.0ms (4%)

series54.0ms (1%)

simplify88.0ms (1.7%)

rewrite369.0ms (7.2%)

eval200.0ms (3.9%)

prune28.0ms (0.5%)

simplify100.0ms (1.9%)

localize172.0ms (3.3%)

series48.0ms (0.9%)

simplify145.0ms (2.8%)

rewrite120.0ms (2.3%)

eval124.0ms (2.4%)

prune37.0ms (0.7%)

simplify101.0ms (2%)

localize103.0ms (2%)

series26.0ms (0.5%)

simplify122.0ms (2.4%)

rewrite167.0ms (3.3%)

eval94.0ms (1.8%)

prune56.0ms (1.1%)

regimes53.0ms (1%)

regimes6.0ms (0.1%)

regimes2.0ms (0%)

regimes24.0ms (0.5%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify70.0ms (1.4%)

derivations526.0ms (10.2%)

preprocess24.0ms (0.5%)

end0.0ms (0%)

Profiling

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