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

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

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

Algorithm

1×

Search

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample907.0ms (19.2%)

Memory

6.6MiB live, 1 229.8MiB allocated; 216ms collecting garbage

Samples

631.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 277.0ms

ival-mult: 161.0ms (58.1% of total)

ival-sub: 100.0ms (36.1% of total)

ival-true: 5.0ms (1.8% of total)

exact: 5.0ms (1.8% of total)

adjust: 3.0ms (1.1% of total)

ival-assert: 3.0ms (1.1% of total)

Bogosity

explain98.0ms (2.1%)

Memory

-5.0MiB live, 136.9MiB allocated; 37ms collecting garbage

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

52.0ms

512×

valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult: 8.0ms (69.5% of total)

ival-sub: 3.0ms (26.1% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

preprocess42.0ms (0.9%)

Memory

43.9MiB live, 85.2MiB allocated; 11ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify17.0ms (0.4%)

Memory

-17.1MiB live, 28.2MiB allocated; 10ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize24.0ms (0.5%)

Memory

-18.6MiB live, 43.6MiB allocated; 10ms collecting garbage

Localize:

Found 3 expressions of interest:

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

Samples

19.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-mult: 4.0ms (69.1% of total)

ival-sub: 1.0ms (17.3% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

11.7MiB live, 11.7MiB allocated; 0ms collecting garbage

Counts

3 → 15

Calls

Call 1

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

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

Calls

6 calls:

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

simplify181.0ms (3.8%)

Memory

12.2MiB live, 290.2MiB allocated; 38ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 14

Calls

Call 1

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

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

rewrite253.0ms (5.4%)

Memory

-33.4MiB live, 453.7MiB allocated; 72ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

3 → 375

Calls

Call 1

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

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

eval96.0ms (2%)

Memory: 19.7MiB live, 111.3MiB allocated; 8ms collecting garbage
Compiler: Compiled 10 774 to 1 179 computations (89.1% saved)

prune12.0ms (0.3%)

Memory

-6.5MiB live, 39.0MiB allocated; 4ms collecting garbage

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	371	10	381
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	372	10	382

Accuracy

100.0%

Counts

382 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 (*.f64 (neg.f64 x) y) x x)
	90.0%	(fma.f64 (*.f64 x (neg.f64 x)) y x)
	42.4%	(/.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))))
▶	90.0%	(-.f64 x (.f64 (.f64 x x) y))
▶	99.9%	(+.f64 (.f64 (.f64 (neg.f64 x) y) x) x)
	81.7%	(.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))))
	28.5%	(.f64 x (fma.f64 (sqrt.f64 (.f64 (*.f64 y y) x)) (sqrt.f64 x) #s(literal 1 binary64)))
▶	53.0%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (.f64 y x)) (sqrt.f64 (.f64 y x)))))
	53.3%	(.f64 x #s(approx (- 1 ( x y)) (*.f64 (neg.f64 x) y)))
▶	48.1%	(.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64)))

Compiler

Compiled 236 to 150 computations (36.4% saved)

simplify147.0ms (3.1%)

Memory

5.1MiB live, 185.0MiB allocated; 33ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	114
0	33	96
1	64	96
2	137	96
3	265	96
4	403	96
5	558	96
6	654	96
7	744	96
8	934	96
9	1262	96
10	2076	96
11	3427	96
12	4612	96
13	7855	96
0	8065	96

Stop Event

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

Calls

Call 1

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

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

localize147.0ms (3.1%)

Memory

14.2MiB live, 181.8MiB allocated; 117ms collecting garbage

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 y x)
accuracy	0.0234375	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (.f64 y x)) (sqrt.f64 (.f64 y x)))))
accuracy	0.22722626953688402	(.f64 (sqrt.f64 (.f64 y x)) (sqrt.f64 (*.f64 y x)))
accuracy	6.578971854385871	(sqrt.f64 (*.f64 y x))
accuracy	0.0	(*.f64 (neg.f64 x) y)
accuracy	0.0	(neg.f64 x)
accuracy	0.015625	(+.f64 (.f64 (.f64 (neg.f64 x) y) x) x)
accuracy	0.05078125	(.f64 (.f64 (neg.f64 x) y) x)
accuracy	0.0	(*.f64 x x)
accuracy	0.015625	(-.f64 x (.f64 (.f64 x x) y))
accuracy	3.7607832555387244	(.f64 (.f64 x x) y)
accuracy	0.0234375	(.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64)))
accuracy	17.432961892215815	#s(approx (- 1 (* x y)) #s(literal 1 binary64))
accuracy	0.0	(*.f64 (neg.f64 x) y)
accuracy	0.0	(neg.f64 x)
accuracy	0.0234375	(fma.f64 (*.f64 (neg.f64 x) y) x x)

Samples

72.0ms	125×	0	valid
63.0ms	131×	0	invalid

Compiler

Compiled 114 to 20 computations (82.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 78.0ms

ival-sub: 59.0ms (75.8% of total)

ival-mult: 14.0ms (18% of total)

ival-sqrt: 2.0ms (2.6% of total)

ival-add: 1.0ms (1.3% of total)

ival-neg: 1.0ms (1.3% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series48.0ms (1%)

Memory

-17.2MiB live, 28.6MiB allocated; 7ms collecting garbage

Counts

15 → 30

Calls

Call 1

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

Outputs
x
(* x (+ 1 (* -1 (* x y))))
(* -1 (* x y))
(* -1 x)
1
(+ 1 (* -1 (* x y)))
(* (pow x 2) y)
(pow x 2)
(* -1 (* (pow x 2) y))
(* x y)
(sqrt (* x y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* x (- (/ 1 x) y))
(* (pow x 2) (- (/ 1 x) y))
(* 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)))
(+ x (* -1 (* (pow x 2) y)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (- (/ 1 y) x))
(* y (- (/ x y) (pow x 2)))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* y (+ (* -1 x) (/ 1 y)))
(* -1 (* y (- (* -1 (/ x y)) (* -1 (pow x 2)))))
(* -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
3.0ms	x	@	-inf	((+ (* (* (neg x) y) x) x) (* (neg x) y) (neg x) (* x (- 1 (* x y))) (- 1 (* x y)) (- x (* (* x x) y)) (* (* x x) y) (* x x) (+ (* (* (neg x) y) x) x) (* (* (neg x) y) x) (* (sqrt (* y x)) (sqrt (* y x))) (* x (- 1 (* (sqrt (* y x)) (sqrt (* y x))))) (- 1 (* (sqrt (* y x)) (sqrt (* y x)))) (sqrt (* y x)) (* y x))
2.0ms	y	@	0	((+ (* (* (neg x) y) x) x) (* (neg x) y) (neg x) (* x (- 1 (* x y))) (- 1 (* x y)) (- x (* (* x x) y)) (* (* x x) y) (* x x) (+ (* (* (neg x) y) x) x) (* (* (neg x) y) x) (* (sqrt (* y x)) (sqrt (* y x))) (* x (- 1 (* (sqrt (* y x)) (sqrt (* y x))))) (- 1 (* (sqrt (* y x)) (sqrt (* y x)))) (sqrt (* y x)) (* y x))
2.0ms	y	@	-inf	((+ (* (* (neg x) y) x) x) (* (neg x) y) (neg x) (* x (- 1 (* x y))) (- 1 (* x y)) (- x (* (* x x) y)) (* (* x x) y) (* x x) (+ (* (* (neg x) y) x) x) (* (* (neg x) y) x) (* (sqrt (* y x)) (sqrt (* y x))) (* x (- 1 (* (sqrt (* y x)) (sqrt (* y x))))) (- 1 (* (sqrt (* y x)) (sqrt (* y x)))) (sqrt (* y x)) (* y x))
2.0ms	x	@	inf	((+ (* (* (neg x) y) x) x) (* (neg x) y) (neg x) (* x (- 1 (* x y))) (- 1 (* x y)) (- x (* (* x x) y)) (* (* x x) y) (* x x) (+ (* (* (neg x) y) x) x) (* (* (neg x) y) x) (* (sqrt (* y x)) (sqrt (* y x))) (* x (- 1 (* (sqrt (* y x)) (sqrt (* y x))))) (- 1 (* (sqrt (* y x)) (sqrt (* y x)))) (sqrt (* y x)) (* y x))
2.0ms	x	@	0	((+ (* (* (neg x) y) x) x) (* (neg x) y) (neg x) (* x (- 1 (* x y))) (- 1 (* x y)) (- x (* (* x x) y)) (* (* x x) y) (* x x) (+ (* (* (neg x) y) x) x) (* (* (neg x) y) x) (* (sqrt (* y x)) (sqrt (* y x))) (* x (- 1 (* (sqrt (* y x)) (sqrt (* y x))))) (- 1 (* (sqrt (* y x)) (sqrt (* y x)))) (sqrt (* y x)) (* y x))

simplify82.0ms (1.7%)

Memory

23.7MiB live, 117.4MiB allocated; 16ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	60	168
1	194	151
2	525	151
3	1512	151
0	5589	151

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

rewrite185.0ms (3.9%)

Memory

16.9MiB live, 286.4MiB allocated; 55ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	97
0	33	80
1	121	80
2	687	73
3	6959	73
0	8049	70

Stop Event

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

Counts

15 → 1 157

Calls

Call 1

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

eval140.0ms (3%)

Memory: -22.0MiB live, 170.5MiB allocated; 29ms collecting garbage
Compiler: Compiled 11 269 to 1 581 computations (86% saved)

prune43.0ms (0.9%)

Memory

-3.1MiB live, 57.3MiB allocated; 23ms collecting garbage

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	585	6	591
Fresh	3	2	5
Picked	2	3	5
Done	0	0	0
Total	590	11	601

Accuracy

100.0%

Counts

601 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.7%	(fma.f64 (.f64 (.f64 (sqrt.f64 x) y) (neg.f64 (sqrt.f64 x))) x x)
✓	99.9%	(fma.f64 (*.f64 (neg.f64 x) y) x x)
▶	90.0%	(fma.f64 (*.f64 (neg.f64 x) x) y x)
▶	35.8%	(fma.f64 (fabs.f64 (.f64 (sqrt.f64 (.f64 y x)) x)) (sqrt.f64 (*.f64 y x)) x)
	42.4%	(/.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))))
▶	99.9%	(-.f64 x (.f64 (.f64 y x) x))
✓	90.0%	(-.f64 x (.f64 (.f64 x x) y))
▶	81.7%	(.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))))
	53.3%	(.f64 x #s(approx (- 1 ( (sqrt (* y x)) (sqrt (* y x)))) (*.f64 (neg.f64 y) x)))
✓	48.1%	(.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64)))
▶	47.3%	#s(approx (* x (- 1 (* (sqrt (* y x)) (sqrt (* y x))))) (.f64 (.f64 (neg.f64 x) x) y))

Compiler

Compiled 261 to 152 computations (41.8% saved)

simplify221.0ms (4.7%)

Memory

22.8MiB live, 399.5MiB allocated; 43ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 y x)
cost-diff	0	(pow.f64 (*.f64 y x) #s(literal 2 binary64))
cost-diff	0	(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
cost-diff	0	(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
cost-diff	0	(sqrt.f64 (*.f64 y x))
cost-diff	0	(.f64 (sqrt.f64 (.f64 y x)) x)
cost-diff	1	(fabs.f64 (.f64 (sqrt.f64 (.f64 y x)) x))
cost-diff	5	(fma.f64 (fabs.f64 (.f64 (sqrt.f64 (.f64 y x)) x)) (sqrt.f64 (*.f64 y x)) x)
cost-diff	0	(neg.f64 x)
cost-diff	0	(*.f64 (neg.f64 x) x)
cost-diff	0	(fma.f64 (*.f64 (neg.f64 x) x) y x)
cost-diff	0	(neg.f64 x)
cost-diff	0	(*.f64 (neg.f64 x) x)
cost-diff	0	(.f64 (.f64 (neg.f64 x) x) y)
cost-diff	0	#s(approx (* x (- 1 (* (sqrt (* y x)) (sqrt (* y x))))) (.f64 (.f64 (neg.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: 0 (0.0ms)

Iter	Nodes	Cost
0	26	144
0	43	138
1	79	133
2	198	133
3	538	132
4	1312	132
5	2494	132
6	4473	132
7	5269	132
8	5860	132
0	8116	131

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

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

localize129.0ms (2.7%)

Memory

-17.2MiB live, 171.4MiB allocated; 16ms collecting garbage

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 y x)
accuracy	0.0859375	(pow.f64 (*.f64 y x) #s(literal 2 binary64))
accuracy	2.8157438433749924	(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
accuracy	3.096254462944035	(/.f64 x (fma.f64 y x #s(literal 1 binary64)))
accuracy	0.0	(fabs.f64 (.f64 (sqrt.f64 (.f64 y x)) x))
accuracy	0.03515625	(fma.f64 (fabs.f64 (.f64 (sqrt.f64 (.f64 y x)) x)) (sqrt.f64 (*.f64 y x)) x)
accuracy	0.09765625	(.f64 (sqrt.f64 (.f64 y x)) x)
accuracy	6.578971854385871	(sqrt.f64 (*.f64 y x))
accuracy	0.0	(*.f64 (neg.f64 x) x)
accuracy	0.0	(neg.f64 x)
accuracy	2.9396626595289166	(fma.f64 (*.f64 (neg.f64 x) x) y x)
accuracy	0.0	(*.f64 (neg.f64 x) x)
accuracy	0.0	(neg.f64 x)
accuracy	3.7607832555387244	(.f64 (.f64 (neg.f64 x) x) y)
accuracy	13.549494401990783	#s(approx (* x (- 1 (* (sqrt (* y x)) (sqrt (* y x))))) (.f64 (.f64 (neg.f64 x) x) y))
accuracy	0.0	(*.f64 y x)
accuracy	0.015625	(-.f64 x (.f64 (.f64 y x) x))
accuracy	0.05078125	(.f64 (.f64 y x) x)

Samples

89.0ms	125×	0	valid
22.0ms	131×	0	invalid

Compiler

Compiled 144 to 26 computations (81.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 96.0ms

ival-div: 46.0ms (48.1% of total)

ival-add: 23.0ms (24% of total)

ival-mult: 17.0ms (17.8% of total)

ival-sub: 3.0ms (3.1% of total)

ival-pow2: 3.0ms (3.1% of total)

ival-sqrt: 2.0ms (2.1% of total)

ival-fabs: 1.0ms (1% of total)

ival-neg: 1.0ms (1% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series33.0ms (0.7%)

Memory

-11.9MiB live, 76.8MiB allocated; 17ms collecting garbage

Counts

16 → 53

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

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

Calls

6 calls:

Time	Variable		Point	Expression
10.0ms	x	@	-inf	((- x (* (* y x) x)) (* (* y x) x) (* y x) (* x (- 1 (* (sqrt (* y x)) (sqrt (* y x))))) (* (* (neg x) x) y) (* (neg x) x) (neg x) (+ (* (* (neg x) x) y) x) (+ (* (fabs (* (sqrt (* y x)) x)) (sqrt (* y x))) x) (fabs (* (sqrt (* y x)) x)) (* (sqrt (* y x)) x) (sqrt (* y x)) (* (- 1 (pow (* y x) 2)) (/ x (+ (* y x) 1))) (- 1 (pow (* y x) 2)) (pow (* y x) 2) (/ x (+ (* y x) 1)))
7.0ms	y	@	-inf	((- x (* (* y x) x)) (* (* y x) x) (* y x) (* x (- 1 (* (sqrt (* y x)) (sqrt (* y x))))) (* (* (neg x) x) y) (* (neg x) x) (neg x) (+ (* (* (neg x) x) y) x) (+ (* (fabs (* (sqrt (* y x)) x)) (sqrt (* y x))) x) (fabs (* (sqrt (* y x)) x)) (* (sqrt (* y x)) x) (sqrt (* y x)) (* (- 1 (pow (* y x) 2)) (/ x (+ (* y x) 1))) (- 1 (pow (* y x) 2)) (pow (* y x) 2) (/ x (+ (* y x) 1)))
5.0ms	y	@	0	((- x (* (* y x) x)) (* (* y x) x) (* y x) (* x (- 1 (* (sqrt (* y x)) (sqrt (* y x))))) (* (* (neg x) x) y) (* (neg x) x) (neg x) (+ (* (* (neg x) x) y) x) (+ (* (fabs (* (sqrt (* y x)) x)) (sqrt (* y x))) x) (fabs (* (sqrt (* y x)) x)) (* (sqrt (* y x)) x) (sqrt (* y x)) (* (- 1 (pow (* y x) 2)) (/ x (+ (* y x) 1))) (- 1 (pow (* y x) 2)) (pow (* y x) 2) (/ x (+ (* y x) 1)))
4.0ms	x	@	inf	((- x (* (* y x) x)) (* (* y x) x) (* y x) (* x (- 1 (* (sqrt (* y x)) (sqrt (* y x))))) (* (* (neg x) x) y) (* (neg x) x) (neg x) (+ (* (* (neg x) x) y) x) (+ (* (fabs (* (sqrt (* y x)) x)) (sqrt (* y x))) x) (fabs (* (sqrt (* y x)) x)) (* (sqrt (* y x)) x) (sqrt (* y x)) (* (- 1 (pow (* y x) 2)) (/ x (+ (* y x) 1))) (- 1 (pow (* y x) 2)) (pow (* y x) 2) (/ x (+ (* y x) 1)))
3.0ms	y	@	inf	((- x (* (* y x) x)) (* (* y x) x) (* y x) (* x (- 1 (* (sqrt (* y x)) (sqrt (* y x))))) (* (* (neg x) x) y) (* (neg x) x) (neg x) (+ (* (* (neg x) x) y) x) (+ (* (fabs (* (sqrt (* y x)) x)) (sqrt (* y x))) x) (fabs (* (sqrt (* y x)) x)) (* (sqrt (* y x)) x) (sqrt (* y x)) (* (- 1 (pow (* y x) 2)) (/ x (+ (* y x) 1))) (- 1 (pow (* y x) 2)) (pow (* y x) 2) (/ x (+ (* y x) 1)))

simplify25.0ms (0.5%)

Memory

19.1MiB live, 65.0MiB allocated; 6ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	176	691
0	508	677

Stop Event

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

Counts

53 → 52

Calls

Call 1

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

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

rewrite222.0ms (4.7%)

Memory

-0.0MiB live, 293.7MiB allocated; 45ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	26	116
0	43	95
1	160	95
2	1128	89
0	9319	89

Stop Event

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

Counts

16 → 1 128

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

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

eval141.0ms (3%)

Memory: 31.0MiB live, 254.9MiB allocated; 54ms collecting garbage
Compiler: Compiled 17 075 to 2 531 computations (85.2% saved)

prune143.0ms (3%)

Memory

-46.7MiB live, 104.1MiB allocated; 17ms collecting garbage

Pruning

10 alts after pruning (4 fresh and 6 done)

	Pruned	Kept	Total
New	874	2	876
Fresh	1	2	3
Picked	2	3	5
Done	0	3	3
Total	877	10	887

Accuracy

100.0%

Counts

887 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.7%	(fma.f64 (.f64 (.f64 (sqrt.f64 x) y) (neg.f64 (sqrt.f64 x))) x x)
✓	99.9%	(fma.f64 (*.f64 (neg.f64 x) y) x x)
✓	90.0%	(fma.f64 (*.f64 (neg.f64 x) x) y x)
✓	99.9%	(-.f64 x (.f64 (.f64 y x) x))
✓	90.0%	(-.f64 x (.f64 (.f64 x x) y))
▶	79.8%	(.f64 (fma.f64 (.f64 (*.f64 y x) y) (neg.f64 x) #s(literal 1 binary64)) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
▶	81.7%	(.f64 (fma.f64 (.f64 (*.f64 y x) x) (neg.f64 y) #s(literal 1 binary64)) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
▶	53.3%	(.f64 x #s(approx (- 1 ( (sqrt (* y x)) (sqrt (* y x)))) (*.f64 (neg.f64 y) x)))
✓	48.1%	(.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64)))
✓	47.3%	#s(approx (* x (- 1 (* (sqrt (* y x)) (sqrt (* y x))))) (.f64 (.f64 (neg.f64 x) x) y))

Compiler

Compiled 118 to 78 computations (33.9% saved)

simplify178.0ms (3.8%)

Memory

17.5MiB live, 216.7MiB allocated; 37ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	26	168
0	47	152
1	96	152
2	256	148
3	756	148
4	1524	144
5	2417	142
6	3683	142
7	4325	142
8	5559	142
0	8205	142

Stop Event

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

Calls

Call 1

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

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

localize97.0ms (2%)

Memory

5.6MiB live, 153.6MiB allocated; 12ms collecting garbage

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.0	(neg.f64 (sqrt.f64 x))
accuracy	0.015625	(fma.f64 (.f64 (.f64 (sqrt.f64 x) y) (neg.f64 (sqrt.f64 x))) x x)
accuracy	0.04296875	(*.f64 (sqrt.f64 x) y)
accuracy	0.078125	(.f64 (.f64 (sqrt.f64 x) y) (neg.f64 (sqrt.f64 x)))
accuracy	0.04296875	(.f64 (.f64 y x) y)
accuracy	0.26309027051473144	(fma.f64 (.f64 (.f64 y x) y) (neg.f64 x) #s(literal 1 binary64))
accuracy	1.398537316965091	(.f64 (fma.f64 (.f64 (*.f64 y x) y) (neg.f64 x) #s(literal 1 binary64)) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
accuracy	1.4535195409091426	(/.f64 x (fma.f64 y x #s(literal 1 binary64)))
accuracy	0.0234375	(.f64 (.f64 y x) x)
accuracy	0.4916725684202834	(fma.f64 (.f64 (.f64 y x) x) (neg.f64 y) #s(literal 1 binary64))
accuracy	1.398537316965091	(.f64 (fma.f64 (.f64 (*.f64 y x) x) (neg.f64 y) #s(literal 1 binary64)) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
accuracy	1.4535195409091426	(/.f64 x (fma.f64 y x #s(literal 1 binary64)))
accuracy	0.0	(*.f64 (neg.f64 y) x)
accuracy	0.0	(neg.f64 y)
accuracy	0.015625	(.f64 x #s(approx (- 1 ( (sqrt (* y x)) (sqrt (* y x)))) (*.f64 (neg.f64 y) x)))
accuracy	5.009956619195037	#s(approx (- 1 (* (sqrt (* y x)) (sqrt (* y x)))) (*.f64 (neg.f64 y) x))

Samples

45.0ms	192×	0	invalid
35.0ms	64×	0	valid

Compiler

Compiled 171 to 29 computations (83% saved)

Precisions

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

ival-mult: 18.0ms (56.5% of total)

ival-add: 5.0ms (15.7% of total)

ival-sqrt: 3.0ms (9.4% of total)

ival-neg: 3.0ms (9.4% of total)

ival-div: 2.0ms (6.3% of total)

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

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series19.0ms (0.4%)

Memory

-1.8MiB live, 42.4MiB allocated; 6ms collecting garbage

Counts

17 → 48

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	x	@	inf	((* x (- 1 (* (sqrt (* y x)) (sqrt (* y x))))) (- 1 (* (sqrt (* y x)) (sqrt (* y x)))) (* (neg y) x) (neg y) (* (+ (* (* (* y x) x) (neg y)) 1) (/ x (+ (* y x) 1))) (+ (* (* (* y x) x) (neg y)) 1) (* (* y x) x) (* y x) (* (+ (* (* (* y x) y) (neg x)) 1) (/ x (+ (* y x) 1))) (+ (* (* (* y x) y) (neg x)) 1) (* (* y x) y) (* (* (sqrt x) y) (neg (sqrt x))) (+ (* (* (* (sqrt x) y) (neg (sqrt x))) x) x) (* (sqrt x) y) (sqrt x) (/ x (+ (* y x) 1)) (neg (sqrt x)))
4.0ms	x	@	-inf	((* x (- 1 (* (sqrt (* y x)) (sqrt (* y x))))) (- 1 (* (sqrt (* y x)) (sqrt (* y x)))) (* (neg y) x) (neg y) (* (+ (* (* (* y x) x) (neg y)) 1) (/ x (+ (* y x) 1))) (+ (* (* (* y x) x) (neg y)) 1) (* (* y x) x) (* y x) (* (+ (* (* (* y x) y) (neg x)) 1) (/ x (+ (* y x) 1))) (+ (* (* (* y x) y) (neg x)) 1) (* (* y x) y) (* (* (sqrt x) y) (neg (sqrt x))) (+ (* (* (* (sqrt x) y) (neg (sqrt x))) x) x) (* (sqrt x) y) (sqrt x) (/ x (+ (* y x) 1)) (neg (sqrt x)))
3.0ms	y	@	-inf	((* x (- 1 (* (sqrt (* y x)) (sqrt (* y x))))) (- 1 (* (sqrt (* y x)) (sqrt (* y x)))) (* (neg y) x) (neg y) (* (+ (* (* (* y x) x) (neg y)) 1) (/ x (+ (* y x) 1))) (+ (* (* (* y x) x) (neg y)) 1) (* (* y x) x) (* y x) (* (+ (* (* (* y x) y) (neg x)) 1) (/ x (+ (* y x) 1))) (+ (* (* (* y x) y) (neg x)) 1) (* (* y x) y) (* (* (sqrt x) y) (neg (sqrt x))) (+ (* (* (* (sqrt x) y) (neg (sqrt x))) x) x) (* (sqrt x) y) (sqrt x) (/ x (+ (* y x) 1)) (neg (sqrt x)))
2.0ms	x	@	0	((* x (- 1 (* (sqrt (* y x)) (sqrt (* y x))))) (- 1 (* (sqrt (* y x)) (sqrt (* y x)))) (* (neg y) x) (neg y) (* (+ (* (* (* y x) x) (neg y)) 1) (/ x (+ (* y x) 1))) (+ (* (* (* y x) x) (neg y)) 1) (* (* y x) x) (* y x) (* (+ (* (* (* y x) y) (neg x)) 1) (/ x (+ (* y x) 1))) (+ (* (* (* y x) y) (neg x)) 1) (* (* y x) y) (* (* (sqrt x) y) (neg (sqrt x))) (+ (* (* (* (sqrt x) y) (neg (sqrt x))) x) x) (* (sqrt x) y) (sqrt x) (/ x (+ (* y x) 1)) (neg (sqrt x)))
2.0ms	y	@	inf	((* x (- 1 (* (sqrt (* y x)) (sqrt (* y x))))) (- 1 (* (sqrt (* y x)) (sqrt (* y x)))) (* (neg y) x) (neg y) (* (+ (* (* (* y x) x) (neg y)) 1) (/ x (+ (* y x) 1))) (+ (* (* (* y x) x) (neg y)) 1) (* (* y x) x) (* y x) (* (+ (* (* (* y x) y) (neg x)) 1) (/ x (+ (* y x) 1))) (+ (* (* (* y x) y) (neg x)) 1) (* (* y x) y) (* (* (sqrt x) y) (neg (sqrt x))) (+ (* (* (* (sqrt x) y) (neg (sqrt x))) x) x) (* (sqrt x) y) (sqrt x) (/ x (+ (* y x) 1)) (neg (sqrt x)))

simplify153.0ms (3.2%)

Memory

-11.7MiB live, 130.9MiB allocated; 14ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	152	486
1	448	441
2	1193	438
3	4160	431
0	8121	426

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 47

Calls

Call 1

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

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

rewrite153.0ms (3.2%)

Memory

2.8MiB live, 239.5MiB allocated; 26ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	26	137
0	47	127
1	159	117
2	1125	84
0	9511	84

Stop Event

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

Counts

17 → 1 360

Calls

Call 1

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

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

eval122.0ms (2.6%)

Memory: -8.5MiB live, 186.8MiB allocated; 61ms collecting garbage
Compiler: Compiled 17 703 to 1 811 computations (89.8% saved)

prune21.0ms (0.5%)

Memory

11.1MiB live, 57.0MiB allocated; 6ms collecting garbage

Pruning

11 alts after pruning (4 fresh and 7 done)

	Pruned	Kept	Total
New	683	4	687
Fresh	0	0	0
Picked	3	1	4
Done	0	6	6
Total	686	11	697

Accuracy

100.0%

Counts

697 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (*.f64 (neg.f64 x) y) x x)
✓	90.0%	(fma.f64 (*.f64 (neg.f64 x) x) y x)
✓	99.9%	(-.f64 x (.f64 (.f64 y x) x))
✓	90.0%	(-.f64 x (.f64 (.f64 x x) y))
	41.7%	(.f64 (fma.f64 (.f64 (.f64 y x) y) (neg.f64 x) #s(literal 1 binary64)) #s(approx (/ x (+ ( y x) 1)) (/.f64 #s(literal 1 binary64) y)))
	43.6%	(.f64 (fma.f64 (.f64 (.f64 y x) x) (neg.f64 y) #s(literal 1 binary64)) #s(approx (/ x (+ ( y x) 1)) (/.f64 #s(literal 1 binary64) y)))
	33.1%	(.f64 #s(approx (+ ( (* (* y x) x) (neg y)) 1) (.f64 (.f64 (*.f64 (neg.f64 y) x) y) x)) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
	33.3%	(.f64 x #s(approx (- 1 ( (sqrt (* y x)) (sqrt (* y x)))) (.f64 (.f64 (sqrt.f64 x) (neg.f64 y)) (sqrt.f64 x))))
✓	53.3%	(.f64 x #s(approx (- 1 ( (sqrt (* y x)) (sqrt (* y x)))) (*.f64 (neg.f64 y) x)))
✓	48.1%	(.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64)))
✓	47.3%	#s(approx (* x (- 1 (* (sqrt (* y x)) (sqrt (* y x))))) (.f64 (.f64 (neg.f64 x) x) y))

Compiler

Compiled 488 to 199 computations (59.2% saved)

regimes21.0ms (0.5%)

Memory

-6.0MiB live, 40.1MiB allocated; 4ms collecting garbage

Counts

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

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

Calls

3 calls:

8.0ms	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))
6.0ms	y
6.0ms	x

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes9.0ms (0.2%)

Memory

24.3MiB live, 24.3MiB allocated; 0ms collecting garbage

Counts

9 → 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 (neg.f64 x) x) y))
(.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 x x) y))
(-.f64 x (.f64 (.f64 y x) x))
(fma.f64 (*.f64 x (neg.f64 x)) y x)
(fma.f64 (*.f64 (neg.f64 x) x) y x)

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes10.0ms (0.2%)

Memory

-36.2MiB live, 17.3MiB allocated; 10ms collecting garbage

Counts

4 → 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 (neg.f64 x) x) y))
(.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:

6.0ms	x
2.0ms	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))
2.0ms	y

Results

Accuracy	Segments	Branch
84.4%	3	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))`
76.8%	3	`x`
75.0%	3	`y`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes2.0ms (0%)

Memory

3.9MiB live, 3.9MiB allocated; 0ms collecting garbage

Counts

2 → 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 (neg.f64 x) x) y))

Outputs

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

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

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

Calls

1 calls:

1.0ms

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

Results

Accuracy	Segments	Branch
79.8%	3	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes3.0ms (0.1%)

Memory

9.8MiB live, 9.8MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
48.1%	1	`y`
48.1%	1	`x`
48.1%	1	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	57810598889162.94	3.6917933698533446e+21
0.0ms	-1.1127679036450666e+141	-8.306375003759848e+138

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	57810598889162.94	3.6917933698533446e+21
0.0ms	-1.1127679036450666e+141	-8.306375003759848e+138

Compiler

Compiled 10 to 11 computations (-10% saved)

simplify86.0ms (1.8%)

Memory

-9.1MiB live, 36.6MiB allocated; 5ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	109
1	58	109
2	101	109
3	166	109
4	293	109
5	460	109
6	654	109
7	928	109
8	1182	109
9	1635	109
10	2765	109
11	4287	109
12	5777	109
13	6562	109
14	6856	109
15	7087	109
16	7484	109

Stop Event

1×	node limit

Calls

Call 1

Inputs
(fma.f64 (*.f64 (neg.f64 x) y) x x)
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))
(if (<=.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y))) #s(literal -1000000000000000016976219238238959704141045173573106739630601035115997744067216908958262325956255112879408454231155599236459402033650892537856 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 100000000000000 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 -1000000000000000016976219238238959704141045173573106739630601035115997744067216908958262325956255112879408454231155599236459402033650892537856 binary64)) #s(approx (* x (- 1 (* (sqrt (* y x)) (sqrt (* y x))))) (.f64 (.f64 (neg.f64 x) x) y)) (if (<=.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y))) #s(literal 100000000000000 binary64)) (.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64))) #s(approx (* x (- 1 (* (sqrt (* y x)) (sqrt (* y x))))) (.f64 (.f64 (neg.f64 x) x) y))))
(.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64)))

Outputs
(fma.f64 (*.f64 (neg.f64 x) y) x x)
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))
(if (<=.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y))) #s(literal -1000000000000000016976219238238959704141045173573106739630601035115997744067216908958262325956255112879408454231155599236459402033650892537856 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 100000000000000 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 -1000000000000000016976219238238959704141045173573106739630601035115997744067216908958262325956255112879408454231155599236459402033650892537856 binary64)) (not (<=.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y))) #s(literal 100000000000000 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 -1000000000000000016976219238238959704141045173573106739630601035115997744067216908958262325956255112879408454231155599236459402033650892537856 binary64)) #s(approx (* x (- 1 (* (sqrt (* y x)) (sqrt (* y x))))) (.f64 (.f64 (neg.f64 x) x) y)) (if (<=.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y))) #s(literal 100000000000000 binary64)) (.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64))) #s(approx (* x (- 1 (* (sqrt (* y x)) (sqrt (* y x))))) (.f64 (.f64 (neg.f64 x) x) y))))
(if (or (<=.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y))) #s(literal -1000000000000000016976219238238959704141045173573106739630601035115997744067216908958262325956255112879408454231155599236459402033650892537856 binary64)) (not (<=.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y))) #s(literal 100000000000000 binary64)))) #s(approx (* x (- 1 (* (sqrt (* y x)) (sqrt (* y x))))) (.f64 (.f64 (neg.f64 x) x) y)) (.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64))))
(.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64)))

derivations435.0ms (9.2%)

Memory

30.1MiB live, 363.1MiB allocated; 32ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	85
1	112	75
2	258	75
3	810	75
4	3460	75
0	8106	75
0	60	168
1	194	151
2	525	151
3	1512	151
0	5589	151
0	6	15
0	9	15
1	30	15
2	176	15
3	1449	15
0	8912	13

Stop Event

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

Compiler

Compiled 115 to 32 computations (72.2% saved)

preprocess67.0ms (1.4%)

Memory: 10.6MiB live, 56.3MiB allocated; 3ms collecting garbage
Compiler: Compiled 244 to 76 computations (68.9% saved)

end0.0ms (0%)

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

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

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

start0.0ms (0%)

analyze0.0ms (0%)

sample907.0ms (19.2%)

explain98.0ms (2.1%)

preprocess42.0ms (0.9%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify17.0ms (0.4%)

localize24.0ms (0.5%)

series5.0ms (0.1%)

simplify181.0ms (3.8%)

rewrite253.0ms (5.4%)

eval96.0ms (2%)

prune12.0ms (0.3%)

simplify147.0ms (3.1%)

localize147.0ms (3.1%)

series48.0ms (1%)

simplify82.0ms (1.7%)

rewrite185.0ms (3.9%)

eval140.0ms (3%)

prune43.0ms (0.9%)

simplify221.0ms (4.7%)

localize129.0ms (2.7%)

series33.0ms (0.7%)

simplify25.0ms (0.5%)

rewrite222.0ms (4.7%)

eval141.0ms (3%)

prune143.0ms (3%)

simplify178.0ms (3.8%)

localize97.0ms (2%)

series19.0ms (0.4%)

simplify153.0ms (3.2%)

rewrite153.0ms (3.2%)

eval122.0ms (2.6%)

prune21.0ms (0.5%)

regimes21.0ms (0.5%)

regimes9.0ms (0.2%)

regimes10.0ms (0.2%)

regimes2.0ms (0%)

regimes3.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify86.0ms (1.8%)

derivations435.0ms (9.2%)

preprocess67.0ms (1.4%)

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