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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample545.0ms (11.8%)

Memory

38.2MiB live, 731.2MiB allocated

Samples

336.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 180.0ms

ival-mult: 119.0ms (66.1% of total)

ival-sub: 47.0ms (26.1% of total)

ival-true: 6.0ms (3.3% of total)

exact: 5.0ms (2.8% of total)

ival-assert: 3.0ms (1.7% of total)

Bogosity

explain63.0ms (1.4%)

Memory

14.4MiB live, 96.4MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

23.0ms

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 (66.7% of total)

ival-sub: 2.0ms (19.1% of total)

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

exact: 0.0ms (0% of total)

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

preprocess37.0ms (0.8%)

Memory

-5.0MiB live, 32.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify12.0ms (0.3%)

Memory

9.4MiB live, 9.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize19.0ms (0.4%)

Memory

-16.9MiB live, 21.2MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 #s(literal 1 binary64) (*.f64 x y))
accuracy	0.0	(*.f64 x y)
accuracy	0.09375	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))

Samples

15.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult: 3.0ms (43% of total)

ival-true: 2.0ms (28.7% of total)

ival-sub: 1.0ms (14.3% of total)

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

4.9MiB live, 4.9MiB allocated

Counts

3 → 15

Calls

Call 1

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

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

Calls

6 calls:

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

simplify188.0ms (4.1%)

Memory

22.5MiB live, 133.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 14

Calls

Call 1

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

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

rewrite172.0ms (3.7%)

Memory

-19.6MiB live, 212.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

3 → 375

Calls

Call 1

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

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

eval90.0ms (1.9%)

Memory: 6.1MiB live, 132.2MiB allocated
Compiler: Compiled 10 774 to 1 179 computations (89.1% saved)

prune13.0ms (0.3%)

Memory

-5.2MiB live, 33.6MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	373	8	381
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	374	8	382

Accuracy

100.0%

Counts

382 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.9%	(fma.f64 (*.f64 (neg.f64 x) y) x x)
▶	93.4%	(fma.f64 (*.f64 x (neg.f64 x)) y x)
▶	81.3%	(/.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)))
▶	99.9%	(+.f64 (.f64 (.f64 (neg.f64 x) y) x) x)
	83.7%	(.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))))
▶	55.3%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (.f64 y x)) (sqrt.f64 (.f64 y x)))))
	48.1%	(.f64 x #s(approx (- 1 ( x y)) (*.f64 (neg.f64 x) y)))
▶	54.4%	(.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64)))

Compiler

Compiled 168 to 122 computations (27.4% saved)

simplify292.0ms (6.3%)

Memory

6.6MiB live, 247.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	144
0	42	125
1	75	125
2	166	125
3	425	125
4	1098	125
5	2444	125
6	4319	125
7	4872	125
8	5403	125
9	7560	125
0	8687	125

Stop Event

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

Calls

Call 1

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

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

localize70.0ms (1.5%)

Memory

-9.1MiB live, 111.8MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 y x)
accuracy	0.0234375	(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) x)
accuracy	0.13738251953688402	(pow.f64 (*.f64 y x) #s(literal 2 binary64))
accuracy	5.614119419269615	(/.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)))
accuracy	0.0	(*.f64 y x)
accuracy	0.05078125	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (.f64 y x)) (sqrt.f64 (.f64 y x)))))
accuracy	0.20769501953688402	(.f64 (sqrt.f64 (.f64 y x)) (sqrt.f64 (*.f64 y x)))
accuracy	8.392511199230261	(sqrt.f64 (*.f64 y x))
accuracy	0.0	(*.f64 x (neg.f64 x))
accuracy	0.0	(neg.f64 x)
accuracy	1.7455212472253498	(fma.f64 (*.f64 x (neg.f64 x)) y x)
accuracy	0.05078125	(.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64)))
accuracy	15.381871395850899	#s(approx (- 1 (* x y)) #s(literal 1 binary64))
accuracy	0.0	(*.f64 (neg.f64 x) y)
accuracy	0.0	(neg.f64 x)
accuracy	0.00390625	(+.f64 (.f64 (.f64 (neg.f64 x) y) x) x)
accuracy	0.09375	(.f64 (.f64 (neg.f64 x) y) x)

Samples

26.0ms	133×	0	valid
21.0ms	123×	0	invalid

Compiler

Compiled 145 to 26 computations (82.1% saved)

Precisions

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

ival-mult: 15.0ms (49.5% of total)

ival-add: 4.0ms (13.2% of total)

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

ival-div: 2.0ms (6.6% of total)

ival-sqrt: 2.0ms (6.6% of total)

ival-pow2: 2.0ms (6.6% of total)

ival-neg: 1.0ms (3.3% of total)

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

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

exact: 0.0ms (0% of total)

series19.0ms (0.4%)

Memory

26.5MiB live, 26.5MiB allocated

Counts

17 → 37

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	((+ (* (* (neg x) y) x) x) (* (* (neg x) y) x) (* (neg x) y) (neg x) (* x (- 1 (* x y))) (- 1 (* x y)) (+ (* (* x (neg x)) y) x) (* x (neg x)) (* (sqrt (* y x)) (sqrt (* y x))) (* x (- 1 (* (sqrt (* y x)) (sqrt (* y x))))) (- 1 (* (sqrt (* y x)) (sqrt (* y x)))) (sqrt (* y x)) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (- 1 (pow (* y x) 2)) x) (- 1 (pow (* y x) 2)) (pow (* y x) 2) (* y x))
4.0ms	x	@	inf	((+ (* (* (neg x) y) x) x) (* (* (neg x) y) x) (* (neg x) y) (neg x) (* x (- 1 (* x y))) (- 1 (* x y)) (+ (* (* x (neg x)) y) x) (* x (neg x)) (* (sqrt (* y x)) (sqrt (* y x))) (* x (- 1 (* (sqrt (* y x)) (sqrt (* y x))))) (- 1 (* (sqrt (* y x)) (sqrt (* y x)))) (sqrt (* y x)) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (- 1 (pow (* y x) 2)) x) (- 1 (pow (* y x) 2)) (pow (* y x) 2) (* y x))
3.0ms	y	@	-inf	((+ (* (* (neg x) y) x) x) (* (* (neg x) y) x) (* (neg x) y) (neg x) (* x (- 1 (* x y))) (- 1 (* x y)) (+ (* (* x (neg x)) y) x) (* x (neg x)) (* (sqrt (* y x)) (sqrt (* y x))) (* x (- 1 (* (sqrt (* y x)) (sqrt (* y x))))) (- 1 (* (sqrt (* y x)) (sqrt (* y x)))) (sqrt (* y x)) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (- 1 (pow (* y x) 2)) x) (- 1 (pow (* y x) 2)) (pow (* y x) 2) (* y x))
3.0ms	x	@	0	((+ (* (* (neg x) y) x) x) (* (* (neg x) y) x) (* (neg x) y) (neg x) (* x (- 1 (* x y))) (- 1 (* x y)) (+ (* (* x (neg x)) y) x) (* x (neg x)) (* (sqrt (* y x)) (sqrt (* y x))) (* x (- 1 (* (sqrt (* y x)) (sqrt (* y x))))) (- 1 (* (sqrt (* y x)) (sqrt (* y x)))) (sqrt (* y x)) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (- 1 (pow (* y x) 2)) x) (- 1 (pow (* y x) 2)) (pow (* y x) 2) (* y x))
2.0ms	y	@	inf	((+ (* (* (neg x) y) x) x) (* (* (neg x) y) x) (* (neg x) y) (neg x) (* x (- 1 (* x y))) (- 1 (* x y)) (+ (* (* x (neg x)) y) x) (* x (neg x)) (* (sqrt (* y x)) (sqrt (* y x))) (* x (- 1 (* (sqrt (* y x)) (sqrt (* y x))))) (- 1 (* (sqrt (* y x)) (sqrt (* y x)))) (sqrt (* y x)) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (- 1 (pow (* y x) 2)) x) (- 1 (pow (* y x) 2)) (pow (* y x) 2) (* y x))

simplify140.0ms (3%)

Memory

-9.5MiB live, 146.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	80	253
1	253	221
2	728	221
3	2638	221
0	8284	221

Stop Event

1×	iter limit
1×	node limit

Counts

37 → 36

Calls

Call 1

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

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

rewrite176.0ms (3.8%)

Memory

22.4MiB live, 252.8MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	122
0	42	98
1	161	98
2	833	85
0	9384	85

Stop Event

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

Counts

17 → 1 319

Calls

Call 1

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

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

eval153.0ms (3.3%)

Memory: 11.5MiB live, 202.8MiB allocated
Compiler: Compiled 17 555 to 2 732 computations (84.4% saved)

prune33.0ms (0.7%)

Memory

-38.4MiB live, 50.0MiB allocated

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	829	8	837
Fresh	2	1	3
Picked	2	3	5
Done	0	0	0
Total	833	12	845

Accuracy

100.0%

Counts

845 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	40.4%	(fma.f64 (.f64 (sqrt.f64 x) y) (.f64 (sqrt.f64 x) (neg.f64 x)) x)
▶	55.4%	(fma.f64 (.f64 (neg.f64 x) (sqrt.f64 (.f64 y x))) (sqrt.f64 (*.f64 y x)) x)
	47.2%	(fma.f64 (.f64 (neg.f64 x) (sqrt.f64 y)) (.f64 x (sqrt.f64 y)) x)
▶	99.9%	(fma.f64 (*.f64 (neg.f64 x) y) x x)
✓	93.4%	(fma.f64 (*.f64 x (neg.f64 x)) y x)
▶	45.4%	(fma.f64 (sqrt.f64 y) (.f64 (.f64 x (sqrt.f64 y)) (neg.f64 x)) x)
	22.8%	(/.f64 (.f64 #s(approx (- 1 (pow ( y x) 2)) (.f64 (.f64 (*.f64 (neg.f64 y) y) x) x)) x) (fma.f64 y x #s(literal 1 binary64)))
✓	99.9%	(+.f64 (.f64 (.f64 (neg.f64 x) y) x) x)
	65.5%	(.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)))) (.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64)) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64))))
	48.1%	(.f64 x #s(approx (- 1 ( (sqrt (* y x)) (sqrt (* y x)))) (*.f64 (neg.f64 y) x)))
✓	54.4%	(.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64)))
▶	44.6%	#s(approx (* x (- 1 (* (sqrt (* y x)) (sqrt (* y x))))) (.f64 (neg.f64 y) (.f64 x x)))

Compiler

Compiled 304 to 191 computations (37.2% saved)

simplify204.0ms (4.4%)

Memory

-38.6MiB live, 163.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 (*.f64 y x))
cost-diff	0	(neg.f64 x)
cost-diff	0	(.f64 (neg.f64 x) (sqrt.f64 (.f64 y x)))
cost-diff	6	(fma.f64 (.f64 (neg.f64 x) (sqrt.f64 (.f64 y x))) (sqrt.f64 (*.f64 y x)) x)
cost-diff	0	(*.f64 (sqrt.f64 x) (neg.f64 x))
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(*.f64 (sqrt.f64 x) y)
cost-diff	4	(fma.f64 (.f64 (sqrt.f64 x) y) (.f64 (sqrt.f64 x) (neg.f64 x)) x)
cost-diff	0	(*.f64 x (sqrt.f64 y))
cost-diff	0	(.f64 (.f64 x (sqrt.f64 y)) (neg.f64 x))
cost-diff	0	(sqrt.f64 y)
cost-diff	4	(fma.f64 (sqrt.f64 y) (.f64 (.f64 x (sqrt.f64 y)) (neg.f64 x)) x)
cost-diff	0	(*.f64 x x)
cost-diff	0	(neg.f64 y)
cost-diff	0	(.f64 (neg.f64 y) (.f64 x x))
cost-diff	0	#s(approx (* x (- 1 (* (sqrt (* y x)) (sqrt (* y x))))) (.f64 (neg.f64 y) (.f64 x x)))
cost-diff	0	(neg.f64 x)
cost-diff	0	(*.f64 (neg.f64 x) y)
cost-diff	0	(fma.f64 (*.f64 (neg.f64 x) y) x x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	133
0	49	113
1	100	113
2	258	113
3	570	113
4	1241	113
5	2027	113
6	2233	113
7	2513	113
8	3086	113
9	4526	113
10	6853	113
0	8006	113

Stop Event

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

Calls

Call 1

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

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

localize69.0ms (1.5%)

Memory

10.8MiB live, 134.7MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0	(neg.f64 x)
accuracy	0.015625	(fma.f64 (.f64 (neg.f64 x) (sqrt.f64 (.f64 y x))) (sqrt.f64 (*.f64 y x)) x)
accuracy	0.03125	(.f64 (neg.f64 x) (sqrt.f64 (.f64 y x)))
accuracy	3.6397899698094522	(sqrt.f64 (*.f64 y x))
accuracy	0.0	(neg.f64 x)
accuracy	0.05078125	(*.f64 (sqrt.f64 x) (neg.f64 x))
accuracy	0.0546875	(*.f64 (sqrt.f64 x) y)
accuracy	0.47723303921791016	(fma.f64 (.f64 (sqrt.f64 x) y) (.f64 (sqrt.f64 x) (neg.f64 x)) x)
accuracy	0.0	(neg.f64 x)
accuracy	0.0390625	(.f64 (.f64 x (sqrt.f64 y)) (neg.f64 x))
accuracy	0.05078125	(*.f64 x (sqrt.f64 y))
accuracy	0.48113928921791016	(fma.f64 (sqrt.f64 y) (.f64 (.f64 x (sqrt.f64 y)) (neg.f64 x)) x)
accuracy	0.0	(*.f64 x x)
accuracy	0.0	(neg.f64 y)
accuracy	1.4029722506923663	(.f64 (neg.f64 y) (.f64 x x))
accuracy	7.178441384568086	#s(approx (* x (- 1 (* (sqrt (* y x)) (sqrt (* y x))))) (.f64 (neg.f64 y) (.f64 x x)))
accuracy	0.0	(*.f64 (neg.f64 x) y)
accuracy	0.0	(neg.f64 x)
accuracy	0.01953125	(fma.f64 (*.f64 (neg.f64 x) y) x x)

Samples

38.0ms	202×	0	invalid
10.0ms	54×	0	valid

Compiler

Compiled 132 to 30 computations (77.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-mult: 19.0ms (59.2% of total)

ival-sqrt: 5.0ms (15.6% of total)

ival-add: 4.0ms (12.5% of total)

ival-neg: 2.0ms (6.2% of total)

ival-sub: 1.0ms (3.1% of total)

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

exact: 0.0ms (0% of total)

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

series29.0ms (0.6%)

Memory

-18.3MiB live, 57.9MiB allocated

Counts

18 → 30

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	y	@	-inf	((+ (* (* (neg x) y) x) x) (* (neg x) y) (neg x) (* x (- 1 (* (sqrt (* y x)) (sqrt (* y x))))) (* (neg y) (* x x)) (neg y) (* x x) (+ (* (sqrt y) (* (* x (sqrt y)) (neg x))) x) (sqrt y) (* (* x (sqrt y)) (neg x)) (* x (sqrt y)) (+ (* (* (sqrt x) y) (* (sqrt x) (neg x))) x) (* (sqrt x) y) (sqrt x) (* (sqrt x) (neg x)) (+ (* (* (neg x) (sqrt (* y x))) (sqrt (* y x))) x) (* (neg x) (sqrt (* y x))) (sqrt (* y x)))
6.0ms	x	@	0	((+ (* (* (neg x) y) x) x) (* (neg x) y) (neg x) (* x (- 1 (* (sqrt (* y x)) (sqrt (* y x))))) (* (neg y) (* x x)) (neg y) (* x x) (+ (* (sqrt y) (* (* x (sqrt y)) (neg x))) x) (sqrt y) (* (* x (sqrt y)) (neg x)) (* x (sqrt y)) (+ (* (* (sqrt x) y) (* (sqrt x) (neg x))) x) (* (sqrt x) y) (sqrt x) (* (sqrt x) (neg x)) (+ (* (* (neg x) (sqrt (* y x))) (sqrt (* y x))) x) (* (neg x) (sqrt (* y x))) (sqrt (* y x)))
5.0ms	x	@	inf	((+ (* (* (neg x) y) x) x) (* (neg x) y) (neg x) (* x (- 1 (* (sqrt (* y x)) (sqrt (* y x))))) (* (neg y) (* x x)) (neg y) (* x x) (+ (* (sqrt y) (* (* x (sqrt y)) (neg x))) x) (sqrt y) (* (* x (sqrt y)) (neg x)) (* x (sqrt y)) (+ (* (* (sqrt x) y) (* (sqrt x) (neg x))) x) (* (sqrt x) y) (sqrt x) (* (sqrt x) (neg x)) (+ (* (* (neg x) (sqrt (* y x))) (sqrt (* y x))) x) (* (neg x) (sqrt (* y x))) (sqrt (* y x)))
5.0ms	x	@	-inf	((+ (* (* (neg x) y) x) x) (* (neg x) y) (neg x) (* x (- 1 (* (sqrt (* y x)) (sqrt (* y x))))) (* (neg y) (* x x)) (neg y) (* x x) (+ (* (sqrt y) (* (* x (sqrt y)) (neg x))) x) (sqrt y) (* (* x (sqrt y)) (neg x)) (* x (sqrt y)) (+ (* (* (sqrt x) y) (* (sqrt x) (neg x))) x) (* (sqrt x) y) (sqrt x) (* (sqrt x) (neg x)) (+ (* (* (neg x) (sqrt (* y x))) (sqrt (* y x))) x) (* (neg x) (sqrt (* y x))) (sqrt (* y x)))
3.0ms	y	@	0	((+ (* (* (neg x) y) x) x) (* (neg x) y) (neg x) (* x (- 1 (* (sqrt (* y x)) (sqrt (* y x))))) (* (neg y) (* x x)) (neg y) (* x x) (+ (* (sqrt y) (* (* x (sqrt y)) (neg x))) x) (sqrt y) (* (* x (sqrt y)) (neg x)) (* x (sqrt y)) (+ (* (* (sqrt x) y) (* (sqrt x) (neg x))) x) (* (sqrt x) y) (sqrt x) (* (sqrt x) (neg x)) (+ (* (* (neg x) (sqrt (* y x))) (sqrt (* y x))) x) (* (neg x) (sqrt (* y x))) (sqrt (* y x)))

simplify104.0ms (2.2%)

Memory

37.7MiB live, 119.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	65	150
1	198	143
2	577	143
3	1583	143
0	5019	143

Stop Event

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

Counts

30 → 29

Calls

Call 1

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

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

rewrite176.0ms (3.8%)

Memory

-21.3MiB live, 170.5MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	27	114
0	49	94
1	167	93
2	959	84
0	9867	84

Stop Event

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

Counts

18 → 1 126

Calls

Call 1

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

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

eval90.0ms (2%)

Memory: 23.8MiB live, 95.0MiB allocated
Compiler: Compiled 11 006 to 1 251 computations (88.6% saved)

prune50.0ms (1.1%)

Memory

-28.6MiB live, 57.2MiB allocated

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	558	8	566
Fresh	3	1	4
Picked	4	1	5
Done	1	2	3
Total	566	12	578

Accuracy

100.0%

Counts

578 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	55.3%	(fma.f64 (.f64 (neg.f64 x) (pow.f64 (pow.f64 (.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (sqrt.f64 (*.f64 y x)) x)
✓	93.4%	(fma.f64 (*.f64 x (neg.f64 x)) y x)
▶	99.9%	(-.f64 x (.f64 (.f64 y x) x))
	48.1%	(.f64 x #s(approx (- 1 ( (sqrt (* y x)) (sqrt (* y x)))) (*.f64 (neg.f64 y) x)))
✓	54.4%	(.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64)))
	20.2%	#s(approx (* x (- 1 (* (sqrt (* y x)) (sqrt (* y x))))) (.f64 (.f64 (*.f64 (sqrt.f64 y) x) x) (neg.f64 (sqrt.f64 y))))
▶	19.9%	#s(approx (* x (- 1 (* (sqrt (* y x)) (sqrt (* y x))))) (.f64 (.f64 (*.f64 (neg.f64 x) x) (sqrt.f64 y)) (sqrt.f64 y)))
	21.4%	#s(approx (* x (- 1 (* (sqrt (* y x)) (sqrt (* y x))))) (.f64 (.f64 (*.f64 y x) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))))
▶	21.6%	#s(approx (* x (- 1 (* (sqrt (* y x)) (sqrt (* y x))))) (.f64 (.f64 (sqrt.f64 y) (neg.f64 x)) (*.f64 (sqrt.f64 y) x)))
▶	3.2%	#s(approx (* x (- 1 (* (sqrt (* y x)) (sqrt (* y x))))) (.f64 (.f64 x x) y))
▶	15.8%	#s(approx (* x (- 1 (* (sqrt (* y x)) (sqrt (* y x))))) (.f64 (sqrt.f64 (.f64 y x)) (fabs.f64 (.f64 (sqrt.f64 (.f64 y x)) x))))
✓	44.6%	#s(approx (* x (- 1 (* (sqrt (* y x)) (sqrt (* y x))))) (.f64 (neg.f64 y) (.f64 x x)))

Compiler

Compiled 400 to 241 computations (39.8% saved)

simplify149.0ms (3.2%)

Memory

23.6MiB live, 144.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 (*.f64 y x))
cost-diff	0	#s(approx (* x (- 1 (* (sqrt (* y x)) (sqrt (* y x))))) (.f64 (sqrt.f64 (.f64 y x)) (fabs.f64 (.f64 (sqrt.f64 (.f64 y x)) x))))
cost-diff	1	(fabs.f64 (.f64 (sqrt.f64 (.f64 y x)) x))
cost-diff	5	(.f64 (sqrt.f64 (.f64 y x)) (fabs.f64 (.f64 (sqrt.f64 (.f64 y x)) x)))
cost-diff	0	(*.f64 (neg.f64 x) x)
cost-diff	0	(.f64 (.f64 (neg.f64 x) x) (sqrt.f64 y))
cost-diff	0	#s(approx (* x (- 1 (* (sqrt (* y x)) (sqrt (* y x))))) (.f64 (.f64 (*.f64 (neg.f64 x) x) (sqrt.f64 y)) (sqrt.f64 y)))
cost-diff	4	(.f64 (.f64 (*.f64 (neg.f64 x) x) (sqrt.f64 y)) (sqrt.f64 y))
cost-diff	0	(sqrt.f64 y)
cost-diff	0	(*.f64 (sqrt.f64 y) (neg.f64 x))
cost-diff	0	#s(approx (* x (- 1 (* (sqrt (* y x)) (sqrt (* y x))))) (.f64 (.f64 (sqrt.f64 y) (neg.f64 x)) (*.f64 (sqrt.f64 y) x)))
cost-diff	4	(.f64 (.f64 (sqrt.f64 y) (neg.f64 x)) (*.f64 (sqrt.f64 y) x))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (.f64 x x) y)
cost-diff	0	#s(approx (* x (- 1 (* (sqrt (* y x)) (sqrt (* y x))))) (.f64 (.f64 x x) y))
cost-diff	0	(*.f64 y x)
cost-diff	0	(.f64 (.f64 y x) x)
cost-diff	0	(-.f64 x (.f64 (.f64 y x) x))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	29	206
0	46	182
1	87	154
2	204	154
3	578	153
4	1346	153
5	1848	153
6	1938	153
7	1968	153
8	2015	153
9	2308	153
10	3007	153
11	3865	153
12	3992	153
13	4249	153
14	6002	153
15	7584	153
0	8402	153

Stop Event

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

Calls

Call 1

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

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

localize85.0ms (1.8%)

Memory

-19.2MiB live, 176.5MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.03125	(.f64 (sqrt.f64 (.f64 y x)) x)
accuracy	0.0390625	(.f64 (sqrt.f64 (.f64 y x)) (fabs.f64 (.f64 (sqrt.f64 (.f64 y x)) x)))
accuracy	3.6397899698094522	(sqrt.f64 (*.f64 y x))
accuracy	13.020293754901305	#s(approx (* x (- 1 (* (sqrt (* y x)) (sqrt (* y x))))) (.f64 (sqrt.f64 (.f64 y x)) (fabs.f64 (.f64 (sqrt.f64 (.f64 y x)) x))))
accuracy	0.0	(neg.f64 x)
accuracy	0.49860544543828633	(.f64 (.f64 (neg.f64 x) x) (sqrt.f64 y))
accuracy	0.9403495213172902	(.f64 (.f64 (*.f64 (neg.f64 x) x) (sqrt.f64 y)) (sqrt.f64 y))
accuracy	7.178441384568086	#s(approx (* x (- 1 (* (sqrt (* y x)) (sqrt (* y x))))) (.f64 (.f64 (*.f64 (neg.f64 x) x) (sqrt.f64 y)) (sqrt.f64 y)))
accuracy	0.05078125	(.f64 (.f64 (sqrt.f64 y) (neg.f64 x)) (*.f64 (sqrt.f64 y) x))
accuracy	0.05078125	(*.f64 (sqrt.f64 y) (neg.f64 x))
accuracy	0.05078125	(*.f64 (sqrt.f64 y) x)
accuracy	7.178441384568086	#s(approx (* x (- 1 (* (sqrt (* y x)) (sqrt (* y x))))) (.f64 (.f64 (sqrt.f64 y) (neg.f64 x)) (*.f64 (sqrt.f64 y) x)))
accuracy	0.0	(*.f64 x x)
accuracy	1.4029722506923663	(.f64 (.f64 x x) y)
accuracy	13.020293754901305	#s(approx (* x (- 1 (* (sqrt (* y x)) (sqrt (* y x))))) (.f64 (.f64 x x) y))
accuracy	0.0	(-.f64 x (.f64 (.f64 y x) x))
accuracy	0.0	(*.f64 y x)
accuracy	0.03515625	(.f64 (.f64 y x) x)

Samples

34.0ms	202×	0	invalid
15.0ms	54×	0	valid

Compiler

Compiled 167 to 25 computations (85% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-mult: 24.0ms (73.1% of total)

ival-sqrt: 3.0ms (9.1% of total)

ival-sub: 2.0ms (6.1% of total)

ival-fabs: 1.0ms (3% of total)

ival-neg: 1.0ms (3% of total)

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

exact: 0.0ms (0% of total)

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

series21.0ms (0.5%)

Memory

36.9MiB live, 36.9MiB allocated

Counts

21 → 35

Calls

Call 1

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

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

Calls

6 calls:

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

simplify41.0ms (0.9%)

Memory

-18.7MiB live, 19.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	310
0	221	306

Stop Event

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

Counts

35 → 34

Calls

Call 1

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

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

rewrite156.0ms (3.4%)

Memory

14.1MiB live, 205.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	189
0	46	130
1	123	130
2	620	130
3	5785	130
0	8423	125

Stop Event

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

Counts

21 → 817

Calls

Call 1

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

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

eval113.0ms (2.4%)

Memory: -13.8MiB live, 151.7MiB allocated
Compiler: Compiled 20 138 to 2 593 computations (87.1% saved)

prune27.0ms (0.6%)

Memory

-9.3MiB live, 76.2MiB allocated

Pruning

12 alts after pruning (4 fresh and 8 done)

	Pruned	Kept	Total
New	838	2	840
Fresh	2	2	4
Picked	0	5	5
Done	0	3	3
Total	840	12	852

Accuracy

100.0%

Counts

852 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	93.4%	(fma.f64 (*.f64 x (neg.f64 x)) y x)
✓	99.9%	(-.f64 x (.f64 (.f64 y x) x))
	48.1%	(.f64 x #s(approx (- 1 ( (sqrt (* y x)) (sqrt (* y x)))) (*.f64 (neg.f64 y) x)))
✓	54.4%	(.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64)))
	15.8%	#s(approx (* x (- 1 (* (sqrt (* y x)) (sqrt (* y x))))) (.f64 (pow.f64 (pow.f64 (.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (fabs.f64 (.f64 (sqrt.f64 (.f64 y x)) x))))
	20.2%	#s(approx (* x (- 1 (* (sqrt (* y x)) (sqrt (* y x))))) (.f64 (.f64 (*.f64 (sqrt.f64 y) x) (neg.f64 x)) (sqrt.f64 y)))
✓	19.9%	#s(approx (* x (- 1 (* (sqrt (* y x)) (sqrt (* y x))))) (.f64 (.f64 (*.f64 (neg.f64 x) x) (sqrt.f64 y)) (sqrt.f64 y)))
	21.4%	#s(approx (* x (- 1 (* (sqrt (* y x)) (sqrt (* y x))))) (.f64 (.f64 (*.f64 y x) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))))
✓	21.6%	#s(approx (* x (- 1 (* (sqrt (* y x)) (sqrt (* y x))))) (.f64 (.f64 (sqrt.f64 y) (neg.f64 x)) (*.f64 (sqrt.f64 y) x)))
✓	3.2%	#s(approx (* x (- 1 (* (sqrt (* y x)) (sqrt (* y x))))) (.f64 (.f64 x x) y))
✓	15.8%	#s(approx (* x (- 1 (* (sqrt (* y x)) (sqrt (* y x))))) (.f64 (sqrt.f64 (.f64 y x)) (fabs.f64 (.f64 (sqrt.f64 (.f64 y x)) x))))
✓	44.6%	#s(approx (* x (- 1 (* (sqrt (* y x)) (sqrt (* y x))))) (.f64 (neg.f64 y) (.f64 x x)))

Compiler

Compiled 672 to 248 computations (63.1% saved)

regimes25.0ms (0.5%)

Memory

10.0MiB live, 48.0MiB allocated

Counts

27 → 1

Calls

Call 1

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

Outputs
(-.f64 x (.f64 (.f64 y x) x))

Calls

3 calls:

9.0ms	y
7.0ms	x
7.0ms	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes8.0ms (0.2%)

Memory

18.0MiB live, 18.0MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes8.0ms (0.2%)

Memory

-22.8MiB live, 16.3MiB allocated

Counts

5 → 3

Calls

Call 1

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

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:

3.0ms	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))
2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
80.4%	3	`x`
75.3%	3	`y`
86.0%	3	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes2.0ms (0%)

Memory

4.8MiB live, 4.8MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
83.7%	3	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes4.0ms (0.1%)

Memory

11.4MiB live, 11.4MiB allocated

Accuracy

Total -32.8b remaining (-112.4%)

Threshold costs -32.8b (-112.4%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
54.4%	1	`y`
54.4%	1	`x`
54.4%	1	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	8.818930754353479e-7	44.384239318732725
0.0ms	-2.190720576502399e+83	-9.646906841036504e+80

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.341525673561595e+56	3.835763449282831e+82
0.0ms	-2.190720576502399e+83	-9.646906841036504e+80

Compiler

Compiled 10 to 11 computations (-10% saved)

simplify120.0ms (2.6%)

Memory

-23.3MiB live, 57.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	109
1	73	109
2	123	109
3	187	109
4	319	109
5	484	109
6	676	109
7	947	109
8	1209	109
9	1654	109
10	2784	109
11	4293	109
12	5752	109
13	6539	109
14	6830	109
15	7061	109
16	7460	109

Stop Event

1×	node limit

Calls

Call 1

Inputs
(-.f64 x (.f64 (.f64 y x) x))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))
(if (<=.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y))) #s(literal -200000000000000006161332646193051381554050408015286692692179488138827970582662873088 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 4722366482869645/4722366482869645213696 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 -200000000000000006161332646193051381554050408015286692692179488138827970582662873088 binary64)) #s(approx (* x (- 1 (* (sqrt (* y x)) (sqrt (* y x))))) (.f64 (neg.f64 y) (.f64 x x))) (if (<=.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y))) #s(literal 500000000000000024173346057776829528764197422945257127936 binary64)) (.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64))) #s(approx (* x (- 1 (* (sqrt (* y x)) (sqrt (* y x))))) (.f64 (neg.f64 y) (.f64 x x)))))
(.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64)))

Outputs
(-.f64 x (.f64 (.f64 y x) x))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))
(if (<=.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y))) #s(literal -200000000000000006161332646193051381554050408015286692692179488138827970582662873088 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 4722366482869645/4722366482869645213696 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 -200000000000000006161332646193051381554050408015286692692179488138827970582662873088 binary64)) (not (<=.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y))) #s(literal 4722366482869645/4722366482869645213696 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 -200000000000000006161332646193051381554050408015286692692179488138827970582662873088 binary64)) #s(approx (* x (- 1 (* (sqrt (* y x)) (sqrt (* y x))))) (.f64 (neg.f64 y) (.f64 x x))) (if (<=.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y))) #s(literal 500000000000000024173346057776829528764197422945257127936 binary64)) (.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64))) #s(approx (* x (- 1 (* (sqrt (* y x)) (sqrt (* y x))))) (.f64 (neg.f64 y) (.f64 x x)))))
(if (or (<=.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y))) #s(literal -200000000000000006161332646193051381554050408015286692692179488138827970582662873088 binary64)) (not (<=.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y))) #s(literal 500000000000000024173346057776829528764197422945257127936 binary64)))) #s(approx (* x (- 1 (* (sqrt (* y x)) (sqrt (* y x))))) (.f64 (neg.f64 y) (.f64 x x))) (.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64))))
(.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64)))

soundness1.1s (23%)

Memory

14.0MiB live, 558.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	85
1	112	75
2	258	75
3	810	75
4	3460	75
0	8106	75
0	27	114
0	49	94
1	167	93
2	959	84
0	9867	84
0	6	15
0	9	15
1	30	15
2	176	15
3	1449	15
0	8912	13
0	80	253
1	253	221
2	728	221
3	2638	221
0	8284	221

Stop Event

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

Compiler

Compiled 197 to 93 computations (52.8% saved)

preprocess58.0ms (1.3%)

Memory: 7.5MiB live, 92.1MiB allocated
Compiler: Compiled 244 to 90 computations (63.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

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

start0.0ms (0%)

analyze0.0ms (0%)

sample545.0ms (11.8%)

explain63.0ms (1.4%)

preprocess37.0ms (0.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify12.0ms (0.3%)

localize19.0ms (0.4%)

series5.0ms (0.1%)

simplify188.0ms (4.1%)

rewrite172.0ms (3.7%)

eval90.0ms (1.9%)

prune13.0ms (0.3%)

simplify292.0ms (6.3%)

localize70.0ms (1.5%)

series19.0ms (0.4%)

simplify140.0ms (3%)

rewrite176.0ms (3.8%)

eval153.0ms (3.3%)

prune33.0ms (0.7%)

simplify204.0ms (4.4%)

localize69.0ms (1.5%)

series29.0ms (0.6%)

simplify104.0ms (2.2%)

rewrite176.0ms (3.8%)

eval90.0ms (2%)

prune50.0ms (1.1%)

simplify149.0ms (3.2%)

localize85.0ms (1.8%)

series21.0ms (0.5%)

simplify41.0ms (0.9%)

rewrite156.0ms (3.4%)

eval113.0ms (2.4%)

prune27.0ms (0.6%)

regimes25.0ms (0.5%)

regimes8.0ms (0.2%)

regimes8.0ms (0.2%)

regimes2.0ms (0%)

regimes4.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify120.0ms (2.6%)

soundness1.1s (23%)

preprocess58.0ms (1.3%)

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