Metrics for Linear.Matrix:fromQuaternion from linear-1.19.1.3, B

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 11 to 9 computations (18.2% saved)

sample1.1s (17.8%)

Memory

-0.3MiB live, 985.9MiB allocated

Samples

683.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 292.0ms

ival-mult: 204.0ms (69.8% of total)

ival-add: 75.0ms (25.7% of total)

ival-true: 6.0ms (2.1% of total)

exact: 5.0ms (1.7% of total)

ival-assert: 3.0ms (1% of total)

Bogosity

explain93.0ms (1.5%)

Memory

14.3MiB live, 91.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
12	-	-	`(+.f64 (.f64 x x) (.f64 x y))`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`y`
0	-	-	`(.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (*.f64 x y)))`
0	-	-	`(*.f64 x x)`
0	-	-	`(*.f64 x y)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 (.f64 x x) (.f64 x y))`	nan-rescue	12	0
↳	`(*.f64 x x)`	overflow	60
↳	`(*.f64 x y)`	overflow	26

Confusion

	Predicted +	Predicted -
+	12	0
-	0	244

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	12	0	0
-	0	0	244

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	244
1	12

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

43.0ms

512×

valid

Compiler

Compiled 88 to 32 computations (63.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 10.0ms (77.8% of total)

ival-add: 2.0ms (15.6% of total)

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

exact: 0.0ms (0% of total)

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

preprocess349.0ms (5.6%)

Memory

-24.2MiB live, 216.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	39
1	96	35
2	383	35
3	1555	35
4	3445	35
5	4316	35
6	4603	35
7	6539	35
8	7279	35
9	7717	35
0	7	9
0	11	7
1	32	7
2	121	7
3	464	7
4	1524	7
5	2549	7
6	2834	7
7	3791	7
8	4085	7
9	5042	7
10	6620	7
0	8281	7

Stop Event

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

Calls

Call 1

Inputs
(.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (*.f64 x y)))

Outputs
(.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (*.f64 x y)))
(.f64 (.f64 (+.f64 y x) #s(literal 2 binary64)) x)

Compiler

Compiled 9 to 7 computations (22.2% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	95.3%	(.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (*.f64 x y)))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify246.0ms (3.9%)

Memory

-11.7MiB live, 190.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x y)
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (*.f64 x y)))
cost-diff	320	(+.f64 (.f64 x x) (.f64 x y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	25
0	11	21
1	32	21
2	121	21
3	464	21
4	1524	21
5	2549	21
6	2834	21
7	3791	21
8	4085	21
9	5042	21
10	6620	21
0	8281	21

Stop Event

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

Calls

Call 1

Inputs
(.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (*.f64 x y)))
#s(literal 2 binary64)
(+.f64 (.f64 x x) (.f64 x y))
(*.f64 x x)
x
(*.f64 x y)
y

Outputs
(.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (*.f64 x y)))
(.f64 (.f64 (+.f64 y x) #s(literal 2 binary64)) x)
#s(literal 2 binary64)
(+.f64 (.f64 x x) (.f64 x y))
(*.f64 (+.f64 y x) x)
(*.f64 x x)
x
(*.f64 x y)
(*.f64 y x)
y

localize20.0ms (0.3%)

Memory

9.7MiB live, 45.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x y)
accuracy	0	(*.f64 x x)
accuracy	0.01171875	(.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (*.f64 x y)))
accuracy	2.7070188649812352	(+.f64 (.f64 x x) (.f64 x y))

Samples

13.0ms

256×

valid

Compiler

Compiled 52 to 16 computations (69.2% saved)

Precisions

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

ival-mult: 5.0ms (78.6% of total)

ival-add: 1.0ms (15.7% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

18.7MiB live, 18.7MiB allocated

Counts

4 → 14

Calls

Call 1

Inputs
(+.f64 (.f64 x x) (.f64 x y))
(.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (*.f64 x y)))
(*.f64 x x)
(*.f64 x y)

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

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	((+ (* x x) (* x y)) (* 2 (+ (* x x) (* x y))) (* x x) (* x y))
1.0ms	y	@	inf	((+ (* x x) (* x y)) (* 2 (+ (* x x) (* x y))) (* x x) (* x y))
1.0ms	x	@	0	((+ (* x x) (* x y)) (* 2 (+ (* x x) (* x y))) (* x x) (* x y))
1.0ms	x	@	-inf	((+ (* x x) (* x y)) (* 2 (+ (* x x) (* x y))) (* x x) (* x y))
1.0ms	y	@	-inf	((+ (* x x) (* x y)) (* 2 (+ (* x x) (* x y))) (* x x) (* x y))

simplify149.0ms (2.4%)

Memory

-26.5MiB live, 96.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	76
1	153	76
2	508	76
3	1620	76
4	5122	76
0	8306	76

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 14

Calls

Call 1

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

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

rewrite133.0ms (2.1%)

Memory

39.9MiB live, 187.7MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	7	22
0	11	18
1	46	18
2	411	12
3	6385	12
0	8217	12

Stop Event

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

Counts

4 → 163

Calls

Call 1

Inputs
(+.f64 (.f64 x x) (.f64 x y))
(.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (*.f64 x y)))
(*.f64 x x)
(*.f64 x y)

Outputs
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 (.f64 (.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))) (fma.f64 (.f64 (.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 (.f64 (.f64 (.f64 y x) x) (-.f64 y x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (.f64 (.f64 (.f64 y x) x) (-.f64 y x)) (fma.f64 (.f64 (.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))))
(.f64 (/.f64 (pow.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))))
(.f64 (/.f64 (.f64 (-.f64 x y) x) (+.f64 y x)) (/.f64 (*.f64 (-.f64 x y) x) x))
(.f64 (/.f64 (.f64 (-.f64 x y) x) (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (/.f64 (.f64 (-.f64 x y) x) (pow.f64 (fma.f64 (.f64 (.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 (-.f64 x y) x) x) (/.f64 (*.f64 (-.f64 x y) x) (-.f64 x y)))
(.f64 (/.f64 (.f64 (-.f64 x y) x) x) (/.f64 (*.f64 (-.f64 x y) x) (+.f64 y x)))
(*.f64 (-.f64 x y) x)
(.f64 #s(literal -1 binary64) (.f64 (-.f64 x y) x))
(.f64 (pow.f64 (fma.f64 (.f64 (.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))
(.f64 (pow.f64 (.f64 (-.f64 x y) x) #s(literal -1 binary64)) (pow.f64 (*.f64 (-.f64 x y) x) #s(literal 2 binary64)))
(.f64 #s(literal 1 binary64) (.f64 (-.f64 x y) x))
(*.f64 (+.f64 y x) x)
(.f64 (pow.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (-.f64 x y) x) #s(literal -1 binary64)))
(.f64 (fma.f64 (.f64 (.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))) (/.f64 (.f64 (-.f64 x y) x) (fma.f64 (.f64 (.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))))
(.f64 (fma.f64 (.f64 (.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 (-.f64 x y) x) (pow.f64 (fma.f64 (.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))))
(.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 (.f64 (.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 x y) x) #s(literal 1 binary64))
(*.f64 x (-.f64 x (neg.f64 y)))
(*.f64 x (-.f64 y x))
(*.f64 x (neg.f64 (-.f64 x y)))
(*.f64 x (-.f64 x y))
(*.f64 x (+.f64 y x))
(pow.f64 (/.f64 (pow.f64 (*.f64 (-.f64 x y) x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 (-.f64 x y) x) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (-.f64 x y) x) #s(literal 1 binary64))
(/.f64 (/.f64 (pow.f64 (*.f64 (-.f64 x y) x) #s(literal 2 binary64)) (+.f64 y x)) x)
(/.f64 (/.f64 (pow.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 (fma.f64 (.f64 (.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(/.f64 (.f64 (.f64 (+.f64 y x) (-.f64 x y)) x) (-.f64 x y))
(/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) x) (fma.f64 y (-.f64 y x) (.f64 x x)))
(/.f64 (.f64 (pow.f64 (.f64 (-.f64 x y) x) #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 x y) x) #s(literal -1 binary64))) (pow.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (.f64 y x) #s(literal 6 binary64))) (pow.f64 (.f64 (-.f64 x y) x) #s(literal -1 binary64))) (+.f64 (pow.f64 (.f64 (-.f64 x y) x) #s(literal 4 binary64)) (.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 y y))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (.f64 y x) #s(literal 6 binary64))) (pow.f64 (fma.f64 (.f64 (.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 9 binary64)) (pow.f64 x #s(literal 18 binary64))) (pow.f64 (fma.f64 (.f64 (.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))) (-.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (.f64 y x) #s(literal 6 binary64))) (.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 (.f64 x (.f64 (+.f64 y x) (-.f64 x y))) (-.f64 x y))
(/.f64 (.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 y (-.f64 y x) (.f64 x x)))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x y)) #s(literal 2 binary64)) (pow.f64 (.f64 x (/.f64 (.f64 y y) (-.f64 x y))) #s(literal 2 binary64))) (*.f64 (-.f64 x y) x))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 (.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64))) (.f64 (-.f64 x y) x))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x y)) #s(literal 3 binary64)) (pow.f64 (.f64 x (/.f64 (.f64 y y) (-.f64 x y))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x y)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 x (/.f64 (.f64 y y) (-.f64 x y))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x y)) (.f64 x (/.f64 (*.f64 y y) (-.f64 x y)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 (.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 (.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 (.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))))))))
(/.f64 (/.f64 (pow.f64 (*.f64 (-.f64 x y) x) #s(literal 2 binary64)) x) (-.f64 x y))
(/.f64 (/.f64 (pow.f64 (*.f64 (-.f64 x y) x) #s(literal 2 binary64)) x) (+.f64 y x))
(/.f64 (.f64 (pow.f64 (.f64 (-.f64 x y) x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 (-.f64 x y) x) #s(literal 3 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (.f64 y x) #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (.f64 (-.f64 x y) x) #s(literal 4 binary64)) (.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 y y))) (*.f64 (-.f64 x y) x)))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (.f64 y x) #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (pow.f64 (fma.f64 (.f64 (.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (.f64 (-.f64 x y) x)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 9 binary64)) (pow.f64 x #s(literal 18 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (.f64 y x) #s(literal 6 binary64))) (.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (-.f64 x y) x)) (.f64 (.f64 (-.f64 x y) x) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (pow.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 (.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))) (.f64 (fma.f64 (.f64 (.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (.f64 y x) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (.f64 (.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)))
(/.f64 (pow.f64 (.f64 (-.f64 x y) x) #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 x y) x) #s(literal 3 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (.f64 y x) #s(literal 6 binary64))) (.f64 (+.f64 (pow.f64 (.f64 (-.f64 x y) x) #s(literal 4 binary64)) (.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 y y))) (.f64 (-.f64 x y) x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (.f64 y x) #s(literal 6 binary64))) (.f64 (pow.f64 (fma.f64 (.f64 (.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 (-.f64 x y) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (*.f64 (-.f64 x y) x) #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 9 binary64)) (pow.f64 x #s(literal 18 binary64))) (.f64 (-.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (.f64 y x) #s(literal 6 binary64))) (.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (.f64 (.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (pow.f64 (.f64 (-.f64 x y) x) #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 (-.f64 x y) x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 x y) x) #s(literal -1 binary64)))
(/.f64 (pow.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64)) (.f64 (-.f64 x y) x))
(/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))))
(neg.f64 (*.f64 (-.f64 x y) x))
(fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 (.f64 (.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))) (fma.f64 (.f64 (.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 (.f64 (.f64 (.f64 y x) x) (-.f64 y x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (.f64 (.f64 (.f64 y x) x) (-.f64 y x)) (fma.f64 (.f64 (.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))) (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64))) (.f64 (-.f64 x y) x) (neg.f64 (.f64 x (/.f64 (.f64 y y) (-.f64 x y)))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64))) (.f64 (-.f64 x y) x) (.f64 x (/.f64 (.f64 y y) (-.f64 x y))))
(fma.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (fma.f64 (.f64 (.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))) (fma.f64 (.f64 (.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (.f64 (.f64 y x) x) (-.f64 y x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (.f64 (.f64 (.f64 y x) x) (-.f64 y x)) (fma.f64 (.f64 (.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 (.f64 y #s(literal -1 binary64)) x (.f64 x x))
(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 (.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (.f64 x (/.f64 (*.f64 y y) (-.f64 x y)))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 (.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))) (.f64 x (/.f64 (*.f64 y y) (-.f64 x y))))
(fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 x) (*.f64 (neg.f64 (neg.f64 y)) x))
(fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 x) (*.f64 y x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 (neg.f64 (neg.f64 y)) x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 y x))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 (neg.f64 (neg.f64 y)) x))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 y x))
(fma.f64 (neg.f64 y) x (*.f64 x x))
(fma.f64 (pow.f64 (.f64 y x) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (.f64 y x) #s(literal 3/2 binary64)) (fma.f64 (.f64 (.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 (.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 #s(literal -1 binary64) (.f64 y x) (.f64 x x))
(fma.f64 #s(literal -1 binary64) (.f64 x x) (.f64 (neg.f64 (neg.f64 y)) x))
(fma.f64 #s(literal -1 binary64) (.f64 x x) (.f64 y x))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 (.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 x (.f64 (-.f64 x y) x)) (neg.f64 (.f64 x (/.f64 (*.f64 y y) (-.f64 x y)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 x (.f64 (-.f64 x y) x)) (.f64 x (/.f64 (*.f64 y y) (-.f64 x y))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 (.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x y)) (neg.f64 (.f64 x (/.f64 (.f64 y y) (-.f64 x y)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x y)) (.f64 x (/.f64 (.f64 y y) (-.f64 x y))))
(fma.f64 #s(literal 1 binary64) (.f64 x x) (.f64 (neg.f64 (neg.f64 y)) x))
(fma.f64 #s(literal 1 binary64) (.f64 x x) (.f64 y x))
(fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (/.f64 (.f64 y x) (fma.f64 (.f64 (.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 (.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (.f64 x x) (fma.f64 (.f64 (.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 x y) x) #s(literal -1 binary64)) (neg.f64 (.f64 x (/.f64 (*.f64 y y) (-.f64 x y)))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 x y) x) #s(literal -1 binary64)) (.f64 x (/.f64 (*.f64 y y) (-.f64 x y))))
(fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (fma.f64 (.f64 (.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 (.f64 (.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 (.f64 y x) (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (.f64 (.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 (.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 y x (*.f64 x x))
(fma.f64 (.f64 x x) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 (.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 (.f64 x x) (/.f64 (.f64 x x) (.f64 (-.f64 x y) x)) (neg.f64 (.f64 x (/.f64 (*.f64 y y) (-.f64 x y)))))
(fma.f64 (.f64 x x) (/.f64 (.f64 x x) (.f64 (-.f64 x y) x)) (.f64 x (/.f64 (*.f64 y y) (-.f64 x y))))
(fma.f64 (.f64 x x) (/.f64 x (-.f64 x y)) (neg.f64 (.f64 x (/.f64 (*.f64 y y) (-.f64 x y)))))
(fma.f64 (.f64 x x) (/.f64 x (-.f64 x y)) (.f64 x (/.f64 (*.f64 y y) (-.f64 x y))))
(fma.f64 x (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (-.f64 x y) x)) (neg.f64 (.f64 x (/.f64 (*.f64 y y) (-.f64 x y)))))
(fma.f64 x (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (-.f64 x y) x)) (.f64 x (/.f64 (*.f64 y y) (-.f64 x y))))
(fma.f64 x (/.f64 (.f64 x x) (-.f64 x y)) (neg.f64 (.f64 x (/.f64 (*.f64 y y) (-.f64 x y)))))
(fma.f64 x (/.f64 (.f64 x x) (-.f64 x y)) (.f64 x (/.f64 (*.f64 y y) (-.f64 x y))))
(fma.f64 x (neg.f64 y) (*.f64 x x))
(fma.f64 x y (*.f64 x x))
(fma.f64 x x (*.f64 (neg.f64 (neg.f64 y)) x))
(fma.f64 x x (*.f64 y x))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 (.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (.f64 x (/.f64 (.f64 y y) (-.f64 x y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x y)))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x y)) (.f64 x (/.f64 (.f64 y y) (-.f64 x y))))
(-.f64 #s(literal 0 binary64) (*.f64 (-.f64 x y) x))
(-.f64 (.f64 y x) (.f64 x x))
(-.f64 (.f64 x x) (.f64 (neg.f64 (neg.f64 y)) x))
(-.f64 (.f64 x x) (.f64 y x))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (-.f64 x y) x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 (.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x y)) (neg.f64 (.f64 x (/.f64 (.f64 y y) (-.f64 x y)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x y)) (.f64 x (/.f64 (.f64 y y) (-.f64 x y))))
(+.f64 (.f64 y x) (.f64 x x))
(+.f64 (.f64 x x) (.f64 (neg.f64 (neg.f64 y)) x))
(+.f64 (.f64 x x) (.f64 y x))
#s(literal 0 binary64)
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(.f64 #s(literal -1 binary64) (.f64 x x))
(.f64 #s(literal 1 binary64) (.f64 x x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (pow.f64 x #s(literal 3 binary64)) x)
(neg.f64 (*.f64 x x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 x x))
(fabs.f64 (*.f64 x x))
(exp.f64 (/.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (/.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (/.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 4 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (/.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 x))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
(.f64 (.f64 y #s(literal -1 binary64)) x)
(*.f64 (neg.f64 y) x)
(.f64 #s(literal -1 binary64) (.f64 y x))
(*.f64 y x)
(*.f64 x (neg.f64 y))
(*.f64 x y)
(pow.f64 (*.f64 y x) #s(literal 1 binary64))
(neg.f64 (*.f64 y x))
(-.f64 #s(literal 0 binary64) (*.f64 y x))
(exp.f64 (.f64 (log.f64 (.f64 y x)) #s(literal 1 binary64)))

eval35.0ms (0.6%)

Memory: -21.3MiB live, 95.2MiB allocated
Compiler: Compiled 3 542 to 539 computations (84.8% saved)

prune4.0ms (0.1%)

Memory

22.9MiB live, 22.9MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	165	4	169
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	166	4	170

Accuracy

100.0%

Counts

170 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	57.0%	(.f64 #s(literal 2 binary64) #s(approx (+ ( x x) (* x y)) (*.f64 y x)))
▶	58.4%	#s(approx (* 2 (+ (* x x) (* x y))) (.f64 (.f64 x x) #s(literal 2 binary64)))
▶	100.0%	#s(approx (* 2 (+ (* x x) (* x y))) (.f64 (.f64 #s(literal 2 binary64) (+.f64 y x)) x))
▶	12.3%	#s(literal 0 binary64)

Compiler

Compiled 46 to 35 computations (23.9% saved)

simplify199.0ms (3.2%)

Memory

-10.7MiB live, 169.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 y x)
cost-diff	0	#s(approx (+ (* x x) (* x y)) (*.f64 y x))
cost-diff	0	(.f64 #s(literal 2 binary64) #s(approx (+ ( x x) (* x y)) (*.f64 y x)))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (.f64 x x) #s(literal 2 binary64))
cost-diff	0	#s(approx (* 2 (+ (* x x) (* x y))) (.f64 (.f64 x x) #s(literal 2 binary64)))
cost-diff	0	(+.f64 y x)
cost-diff	0	(*.f64 #s(literal 2 binary64) (+.f64 y x))
cost-diff	0	(.f64 (.f64 #s(literal 2 binary64) (+.f64 y x)) x)
cost-diff	0	#s(approx (* 2 (+ (* x x) (* x y))) (.f64 (.f64 #s(literal 2 binary64) (+.f64 y x)) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	91
0	25	83
1	61	83
2	166	83
3	498	83
4	1573	83
5	2658	83
6	2929	83
7	3883	83
8	4177	83
9	5134	83
10	6712	83
0	8373	83

Stop Event

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

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(approx (* 2 (+ (* x x) (* x y))) (.f64 (.f64 #s(literal 2 binary64) (+.f64 y x)) x))
(.f64 (.f64 #s(literal 2 binary64) (+.f64 y x)) x)
(*.f64 #s(literal 2 binary64) (+.f64 y x))
#s(literal 2 binary64)
(+.f64 y x)
y
x
#s(approx (* 2 (+ (* x x) (* x y))) (.f64 (.f64 x x) #s(literal 2 binary64)))
(.f64 (.f64 x x) #s(literal 2 binary64))
(*.f64 x x)
x
#s(literal 2 binary64)
(.f64 #s(literal 2 binary64) #s(approx (+ ( x x) (* x y)) (*.f64 y x)))
#s(literal 2 binary64)
#s(approx (+ (* x x) (* x y)) (*.f64 y x))
(*.f64 y x)
y
x

Outputs
#s(literal 0 binary64)
#s(approx (* 2 (+ (* x x) (* x y))) (.f64 (.f64 #s(literal 2 binary64) (+.f64 y x)) x))
#s(approx (* 2 (+ (* x x) (* x y))) (.f64 (.f64 x #s(literal 2 binary64)) (+.f64 y x)))
(.f64 (.f64 #s(literal 2 binary64) (+.f64 y x)) x)
(.f64 (.f64 x #s(literal 2 binary64)) (+.f64 y x))
(*.f64 #s(literal 2 binary64) (+.f64 y x))
(*.f64 (+.f64 y x) #s(literal 2 binary64))
#s(literal 2 binary64)
(+.f64 y x)
y
x
#s(approx (* 2 (+ (* x x) (* x y))) (.f64 (.f64 x x) #s(literal 2 binary64)))
(.f64 (.f64 x x) #s(literal 2 binary64))
(*.f64 x x)
x
#s(literal 2 binary64)
(.f64 #s(literal 2 binary64) #s(approx (+ ( x x) (* x y)) (*.f64 y x)))
(.f64 #s(approx (+ ( x x) (* x y)) (*.f64 y x)) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (+ (* x x) (* x y)) (*.f64 y x))
(*.f64 y x)
y
x

localize40.0ms (0.6%)

Memory

1.1MiB live, 39.7MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y x)
accuracy	0.01171875	(.f64 #s(literal 2 binary64) #s(approx (+ ( x x) (* x y)) (*.f64 y x)))
accuracy	27.489492654137358	#s(approx (+ (* x x) (* x y)) (*.f64 y x))
accuracy	0	(*.f64 x x)
accuracy	0.01953125	(.f64 (.f64 x x) #s(literal 2 binary64))
accuracy	26.65194410221511	#s(approx (* 2 (+ (* x x) (* x y))) (.f64 (.f64 x x) #s(literal 2 binary64)))
accuracy	0	(+.f64 y x)
accuracy	0	(.f64 (.f64 #s(literal 2 binary64) (+.f64 y x)) x)
accuracy	0	(*.f64 #s(literal 2 binary64) (+.f64 y x))
accuracy	0	#s(approx (* 2 (+ (* x x) (* x y))) (.f64 (.f64 #s(literal 2 binary64) (+.f64 y x)) x))

Samples

31.0ms

256×

valid

Compiler

Compiled 162 to 34 computations (79% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 10.0ms (75.5% of total)

ival-add: 2.0ms (15.1% of total)

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

exact: 0.0ms (0% of total)

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

series23.0ms (0.4%)

Memory

-27.4MiB live, 10.7MiB allocated

Counts

10 → 28

Calls

Call 1

Inputs
#s(approx (* 2 (+ (* x x) (* x y))) (.f64 (.f64 #s(literal 2 binary64) (+.f64 y x)) x))
(.f64 (.f64 #s(literal 2 binary64) (+.f64 y x)) x)
(*.f64 #s(literal 2 binary64) (+.f64 y x))
(+.f64 y x)
#s(approx (* 2 (+ (* x x) (* x y))) (.f64 (.f64 x x) #s(literal 2 binary64)))
(.f64 (.f64 x x) #s(literal 2 binary64))
(*.f64 x x)
(.f64 #s(literal 2 binary64) #s(approx (+ ( x x) (* x y)) (*.f64 y x)))
#s(approx (+ (* x x) (* x y)) (*.f64 y x))
(*.f64 y x)

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

Calls

6 calls:

Time	Variable		Point	Expression
17.0ms	x	@	-inf	((* 2 (+ (* x x) (* x y))) (* (* 2 (+ y x)) x) (* 2 (+ y x)) (+ y x) (* 2 (+ (* x x) (* x y))) (* (* x x) 2) (* x x) (* 2 (+ (* x x) (* x y))) (+ (* x x) (* x y)) (* y x))
1.0ms	x	@	inf	((* 2 (+ (* x x) (* x y))) (* (* 2 (+ y x)) x) (* 2 (+ y x)) (+ y x) (* 2 (+ (* x x) (* x y))) (* (* x x) 2) (* x x) (* 2 (+ (* x x) (* x y))) (+ (* x x) (* x y)) (* y x))
1.0ms	x	@	0	((* 2 (+ (* x x) (* x y))) (* (* 2 (+ y x)) x) (* 2 (+ y x)) (+ y x) (* 2 (+ (* x x) (* x y))) (* (* x x) 2) (* x x) (* 2 (+ (* x x) (* x y))) (+ (* x x) (* x y)) (* y x))
1.0ms	y	@	-inf	((* 2 (+ (* x x) (* x y))) (* (* 2 (+ y x)) x) (* 2 (+ y x)) (+ y x) (* 2 (+ (* x x) (* x y))) (* (* x x) 2) (* x x) (* 2 (+ (* x x) (* x y))) (+ (* x x) (* x y)) (* y x))
1.0ms	y	@	inf	((* 2 (+ (* x x) (* x y))) (* (* 2 (+ y x)) x) (* 2 (+ y x)) (+ y x) (* 2 (+ (* x x) (* x y))) (* (* x x) 2) (* x x) (* 2 (+ (* x x) (* x y))) (+ (* x x) (* x y)) (* y x))

simplify180.0ms (2.9%)

Memory

-6.0MiB live, 74.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	124
1	239	124
2	746	124
3	2526	124
4	5773	124
0	8038	124

Stop Event

1×	iter limit
1×	node limit

Counts

28 → 26

Calls

Call 1

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

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

rewrite346.0ms (5.5%)

Memory

45.0MiB live, 118.1MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	82
0	24	66
1	85	66
2	628	36
0	9978	36

Stop Event

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

Counts

10 → 128

Calls

Call 1

Inputs
#s(approx (* 2 (+ (* x x) (* x y))) (.f64 (.f64 #s(literal 2 binary64) (+.f64 y x)) x))
(.f64 (.f64 #s(literal 2 binary64) (+.f64 y x)) x)
(*.f64 #s(literal 2 binary64) (+.f64 y x))
(+.f64 y x)
#s(approx (* 2 (+ (* x x) (* x y))) (.f64 (.f64 x x) #s(literal 2 binary64)))
(.f64 (.f64 x x) #s(literal 2 binary64))
(*.f64 x x)
(.f64 #s(literal 2 binary64) #s(approx (+ ( x x) (* x y)) (*.f64 y x)))
#s(approx (+ (* x x) (* x y)) (*.f64 y x))
(*.f64 y x)

Outputs
#s(approx (* 2 (+ (* x x) (* x y))) #s(literal 0 binary64))
#s(literal 0 binary64)
#s(literal 0 binary64)
(.f64 (/.f64 (-.f64 y x) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (-.f64 y x) (pow.f64 (fma.f64 (-.f64 y x) x (.f64 y y)) #s(literal -1 binary64))))
(.f64 (.f64 (-.f64 y x) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(*.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (pow.f64 (-.f64 y x) #s(literal 2 binary64)))
(*.f64 (neg.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) y x)))
(.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (-.f64 y x) x (.f64 y y)))))
(*.f64 #s(literal 1 binary64) (-.f64 y x))
(.f64 (-.f64 y x) (.f64 (-.f64 y x) (pow.f64 (-.f64 y x) #s(literal -1 binary64))))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (pow.f64 (-.f64 y x) #s(literal -1 binary64)))
(.f64 (fma.f64 (-.f64 y x) x (.f64 y y)) (.f64 (-.f64 y x) (pow.f64 (fma.f64 (-.f64 y x) x (.f64 y y)) #s(literal -1 binary64))))
(.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 y (-.f64 y x)))))
(.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 y x) x (.f64 y y)) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 y y) (-.f64 y x)) (/.f64 (.f64 y y) (-.f64 y x))) (.f64 (/.f64 (.f64 x x) (-.f64 y x)) (/.f64 (.f64 x x) (-.f64 y x)))) (+.f64 (/.f64 (.f64 y y) (-.f64 y x)) (/.f64 (.f64 x x) (-.f64 y x))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) x (.f64 y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) x (.f64 y y)))) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) x (.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) x (.f64 y y))))) (-.f64 y x))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 y y) (-.f64 y x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x x) (-.f64 y x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 y y) (-.f64 y x)) (/.f64 (.f64 y y) (-.f64 y x)) (fma.f64 (/.f64 (.f64 x x) (-.f64 y x)) (/.f64 (.f64 x x) (-.f64 y x)) (.f64 (/.f64 (.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) x (.f64 y y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) x (.f64 y y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) x (.f64 y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) x (.f64 y y))) (-.f64 (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) x (.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) x (.f64 y y)))) (.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) x (.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) x (.f64 y y)))))))
(/.f64 (neg.f64 (*.f64 (-.f64 y x) (-.f64 x y))) (neg.f64 (-.f64 x y)))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)))) (-.f64 y x))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 y x) x (*.f64 y y)))))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 (-.f64 y x) #s(literal 3 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (pow.f64 (fma.f64 (-.f64 y x) x (*.f64 y y)) #s(literal 2 binary64)) (-.f64 y x)))
(/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 y x) x (*.f64 y y))))
(/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (-.f64 y x) x (.f64 y y))))
(/.f64 (-.f64 (.f64 (.f64 y y) (-.f64 y x)) (.f64 (-.f64 y x) (.f64 x x))) (pow.f64 (-.f64 y x) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) x (.f64 y y)) (.f64 (fma.f64 (-.f64 y x) x (.f64 y y)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 (-.f64 y x) x (.f64 y y)) #s(literal 2 binary64)))
(/.f64 (*.f64 (-.f64 y x) (-.f64 x y)) (-.f64 x y))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) y x))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (*.f64 y (-.f64 y x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 y x) x (*.f64 y y))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (*.f64 (-.f64 y x) (-.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 y x) #s(literal -1 binary64)))
(/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (-.f64 y x))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (*.f64 y (-.f64 y x))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 y x) x (*.f64 y y)))
(neg.f64 (fma.f64 #s(literal -1 binary64) y x))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) y)
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) y)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) y)
(fma.f64 #s(literal -1 binary64) (neg.f64 x) y)
(fma.f64 #s(literal 1 binary64) x y)
(fma.f64 (.f64 y y) (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (neg.f64 (/.f64 (.f64 x x) (-.f64 y x))))
(fma.f64 (.f64 y y) (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (/.f64 (.f64 (neg.f64 x) x) (-.f64 y x)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (-.f64 y x) x (.f64 y y)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) x (.f64 y y))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 (-.f64 y x) x (.f64 y y)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) x (.f64 y y))))
(-.f64 (+.f64 y #s(literal 0 binary64)) x)
(-.f64 (/.f64 (.f64 x x) (-.f64 x y)) (/.f64 (.f64 y y) (-.f64 x y)))
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) x (.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) x (.f64 y y))))
(-.f64 (/.f64 (.f64 y y) (-.f64 y x)) (/.f64 (.f64 x x) (-.f64 y x)))
(-.f64 y (neg.f64 x))
(-.f64 y x)
(+.f64 (-.f64 y #s(literal 0 binary64)) x)
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (.f64 y (-.f64 y x)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x x (.f64 y (-.f64 y x)))))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x x (.f64 y (-.f64 y x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (.f64 y (-.f64 y x)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) x (.f64 y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) x (.f64 y y))))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) x (.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) x (.f64 y y))))
(+.f64 (/.f64 (.f64 y y) (-.f64 y x)) (neg.f64 (/.f64 (.f64 x x) (-.f64 y x))))
(+.f64 (/.f64 (.f64 y y) (-.f64 y x)) (/.f64 (.f64 (neg.f64 x) x) (-.f64 y x)))
(+.f64 y (neg.f64 x))
(+.f64 y x)
(+.f64 x y)
#s(approx (* 2 (+ (* x x) (* x y))) (.f64 (.f64 x x) #s(literal 2 binary64)))
(.f64 (.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -1 binary64)) x)
(.f64 (.f64 #s(literal -2 binary64) x) (neg.f64 x))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 #s(literal -2 binary64) x)))
(.f64 (.f64 x #s(literal 2 binary64)) x)
(.f64 (neg.f64 x) (.f64 #s(literal -2 binary64) x))
(.f64 (.f64 x x) #s(literal 2 binary64))
(.f64 x (.f64 x #s(literal 2 binary64)))
(.f64 #s(literal 2 binary64) (.f64 x x))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (.f64 x x) (.f64 x x)))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(neg.f64 (fma.f64 (neg.f64 x) x (*.f64 (neg.f64 x) x)))
(neg.f64 (.f64 (.f64 #s(literal -2 binary64) x) x))
(neg.f64 (.f64 #s(literal 2 binary64) (.f64 (neg.f64 x) x)))
(neg.f64 (.f64 x (.f64 #s(literal -2 binary64) x)))
(neg.f64 (.f64 (.f64 (neg.f64 x) x) #s(literal 2 binary64)))
(fma.f64 (.f64 (neg.f64 x) #s(literal -1 binary64)) x (.f64 x x))
(fma.f64 (sqrt.f64 (.f64 (neg.f64 x) x)) (sqrt.f64 (.f64 (neg.f64 x) x)) (*.f64 x x))
(fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (neg.f64 x)) (*.f64 x x))
(fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 x) (*.f64 x x))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 x x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 x x))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 x x))
(fma.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) x) (.f64 x x))
(fma.f64 #s(literal 1 binary64) (.f64 x x) (.f64 x x))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 x x))
(fma.f64 x x (*.f64 x x))
(-.f64 (.f64 x x) (.f64 (neg.f64 x) x))
(+.f64 (.f64 x x) (.f64 x x))
(.f64 (.f64 (neg.f64 x) #s(literal -1 binary64)) x)
(.f64 (sqrt.f64 (.f64 (neg.f64 x) x)) (sqrt.f64 (*.f64 (neg.f64 x) x)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (neg.f64 x)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 x))
(*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))
(*.f64 (sqrt.f64 x) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) x))
(.f64 #s(literal 1 binary64) (.f64 x x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
#s(literal 0 binary64)
#s(approx (+ (* x x) (* x y)) (*.f64 y x))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) y))
(*.f64 (neg.f64 y) (neg.f64 x))
(*.f64 (neg.f64 x) (neg.f64 y))
(*.f64 y x)
(*.f64 x y)
(neg.f64 (*.f64 (neg.f64 x) y))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) y))

eval72.0ms (1.1%)

Memory: -27.5MiB live, 20.9MiB allocated
Compiler: Compiled 3 291 to 566 computations (82.8% saved)

prune5.0ms (0.1%)

Memory

10.3MiB live, 10.3MiB allocated

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	133	2	135
Fresh	0	0	0
Picked	2	2	4
Done	0	0	0
Total	135	4	139

Accuracy

100.0%

Counts

139 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	58.4%	#s(approx (* 2 (+ (* x x) (* x y))) (.f64 (.f64 x #s(literal 2 binary64)) x))
✓	100.0%	#s(approx (* 2 (+ (* x x) (* x y))) (.f64 (.f64 #s(literal 2 binary64) (+.f64 y x)) x))
▶	57.0%	#s(approx (* 2 (+ (* x x) (* x y))) (.f64 #s(approx ( 2 (+ y x)) (*.f64 y #s(literal 2 binary64))) x))
✓	12.3%	#s(literal 0 binary64)

Compiler

Compiled 54 to 40 computations (25.9% saved)

simplify209.0ms (3.3%)

Memory

-18.1MiB live, 171.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 x #s(literal 2 binary64))
cost-diff	0	(.f64 (.f64 x #s(literal 2 binary64)) x)
cost-diff	0	#s(approx (* 2 (+ (* x x) (* x y))) (.f64 (.f64 x #s(literal 2 binary64)) x))
cost-diff	0	(*.f64 y #s(literal 2 binary64))
cost-diff	0	#s(approx (* 2 (+ y x)) (*.f64 y #s(literal 2 binary64)))
cost-diff	0	(.f64 #s(approx ( 2 (+ y x)) (*.f64 y #s(literal 2 binary64))) x)
cost-diff	0	#s(approx (* 2 (+ (* x x) (* x y))) (.f64 #s(approx ( 2 (+ y x)) (*.f64 y #s(literal 2 binary64))) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	72
0	20	68
1	51	68
2	146	68
3	477	68
4	1538	68
5	2653	68
6	2967	68
7	3925	68
8	4219	68
9	5179	68
10	6759	68
0	8420	68

Stop Event

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

Calls

Call 1

Inputs
#s(approx (* 2 (+ (* x x) (* x y))) (.f64 #s(approx ( 2 (+ y x)) (*.f64 y #s(literal 2 binary64))) x))
(.f64 #s(approx ( 2 (+ y x)) (*.f64 y #s(literal 2 binary64))) x)
#s(approx (* 2 (+ y x)) (*.f64 y #s(literal 2 binary64)))
(*.f64 y #s(literal 2 binary64))
y
#s(literal 2 binary64)
x
#s(approx (* 2 (+ (* x x) (* x y))) (.f64 (.f64 x #s(literal 2 binary64)) x))
(.f64 (.f64 x #s(literal 2 binary64)) x)
(*.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)

Outputs
#s(approx (* 2 (+ (* x x) (* x y))) (.f64 #s(approx ( 2 (+ y x)) (*.f64 y #s(literal 2 binary64))) x))
(.f64 #s(approx ( 2 (+ y x)) (*.f64 y #s(literal 2 binary64))) x)
#s(approx (* 2 (+ y x)) (*.f64 y #s(literal 2 binary64)))
(*.f64 y #s(literal 2 binary64))
y
#s(literal 2 binary64)
x
#s(approx (* 2 (+ (* x x) (* x y))) (.f64 (.f64 x #s(literal 2 binary64)) x))
(.f64 (.f64 x #s(literal 2 binary64)) x)
(*.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)

localize33.0ms (0.5%)

Memory

12.3MiB live, 85.8MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score
accuracy	0	(.f64 (.f64 x #s(literal 2 binary64)) x)
accuracy	0	(*.f64 x #s(literal 2 binary64))
accuracy	26.65194410221511	#s(approx (* 2 (+ (* x x) (* x y))) (.f64 (.f64 x #s(literal 2 binary64)) x))
accuracy	0	(.f64 #s(approx ( 2 (+ y x)) (*.f64 y #s(literal 2 binary64))) x)
accuracy	0	(*.f64 y #s(literal 2 binary64))
accuracy	0	#s(approx (* 2 (+ (* x x) (* x y))) (.f64 #s(approx ( 2 (+ y x)) (*.f64 y #s(literal 2 binary64))) x))
accuracy	32.2214877861519	#s(approx (* 2 (+ y x)) (*.f64 y #s(literal 2 binary64)))

Samples

23.0ms

256×

valid

Compiler

Compiled 120 to 32 computations (73.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-mult: 13.0ms (83.9% of total)

ival-add: 2.0ms (12.9% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

17.3MiB live, 17.3MiB allocated

Counts

7 → 14

Calls

Call 1

Inputs
#s(approx (* 2 (+ (* x x) (* x y))) (.f64 #s(approx ( 2 (+ y x)) (*.f64 y #s(literal 2 binary64))) x))
(.f64 #s(approx ( 2 (+ y x)) (*.f64 y #s(literal 2 binary64))) x)
#s(approx (* 2 (+ y x)) (*.f64 y #s(literal 2 binary64)))
(*.f64 y #s(literal 2 binary64))
#s(approx (* 2 (+ (* x x) (* x y))) (.f64 (.f64 x #s(literal 2 binary64)) x))
(.f64 (.f64 x #s(literal 2 binary64)) x)
(*.f64 x #s(literal 2 binary64))

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

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((* 2 (+ (* x x) (* x y))) (* (* 2 (+ y x)) x) (* 2 (+ y x)) (* y 2) (* 2 (+ (* x x) (* x y))) (* (* x 2) x) (* x 2))
1.0ms	x	@	inf	((* 2 (+ (* x x) (* x y))) (* (* 2 (+ y x)) x) (* 2 (+ y x)) (* y 2) (* 2 (+ (* x x) (* x y))) (* (* x 2) x) (* x 2))
1.0ms	x	@	0	((* 2 (+ (* x x) (* x y))) (* (* 2 (+ y x)) x) (* 2 (+ y x)) (* y 2) (* 2 (+ (* x x) (* x y))) (* (* x 2) x) (* x 2))
1.0ms	y	@	-inf	((* 2 (+ (* x x) (* x y))) (* (* 2 (+ y x)) x) (* 2 (+ y x)) (* y 2) (* 2 (+ (* x x) (* x y))) (* (* x 2) x) (* x 2))
1.0ms	y	@	inf	((* 2 (+ (* x x) (* x y))) (* (* 2 (+ y x)) x) (* 2 (+ y x)) (* y 2) (* 2 (+ (* x x) (* x y))) (* (* x 2) x) (* x 2))

simplify154.0ms (2.5%)

Memory

-21.2MiB live, 215.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	76
1	146	76
2	501	76
3	1675	76
4	4908	76
5	7902	76
0	8075	76

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 14

Calls

Call 1

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

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

rewrite317.0ms (5.1%)

Memory

46.9MiB live, 238.7MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	67
0	20	63
1	76	63
2	581	39
0	9941	39

Stop Event

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

Counts

7 → 48

Calls

Call 1

Inputs
#s(approx (* 2 (+ (* x x) (* x y))) (.f64 #s(approx ( 2 (+ y x)) (*.f64 y #s(literal 2 binary64))) x))
(.f64 #s(approx ( 2 (+ y x)) (*.f64 y #s(literal 2 binary64))) x)
#s(approx (* 2 (+ y x)) (*.f64 y #s(literal 2 binary64)))
(*.f64 y #s(literal 2 binary64))
#s(approx (* 2 (+ (* x x) (* x y))) (.f64 (.f64 x #s(literal 2 binary64)) x))
(.f64 (.f64 x #s(literal 2 binary64)) x)
(*.f64 x #s(literal 2 binary64))

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

eval6.0ms (0.1%)

Memory: -10.0MiB live, 29.1MiB allocated
Compiler: Compiled 1 064 to 177 computations (83.4% saved)

prune8.0ms (0.1%)

Memory

-29.3MiB live, 20.8MiB allocated

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	52	2	54
Fresh	0	0	0
Picked	2	0	2
Done	0	2	2
Total	54	4	58

Accuracy

100.0%

Counts

58 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	58.4%	#s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (+.f64 x x) x))
✓	100.0%	#s(approx (* 2 (+ (* x x) (* x y))) (.f64 (.f64 #s(literal 2 binary64) (+.f64 y x)) x))
▶	57.0%	#s(approx (* 2 (+ (* x x) (* x y))) (.f64 #s(approx ( 2 (+ y x)) (+.f64 y y)) x))
✓	12.3%	#s(literal 0 binary64)

Compiler

Compiled 54 to 38 computations (29.6% saved)

simplify289.0ms (4.6%)

Memory

-14.8MiB live, 207.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Score
cost-diff	-128	(+.f64 x x)
cost-diff	0	(*.f64 (+.f64 x x) x)
cost-diff	0	#s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (+.f64 x x) x))
cost-diff	-128	(+.f64 y y)
cost-diff	0	#s(approx (* 2 (+ y x)) (+.f64 y y))
cost-diff	0	(.f64 #s(approx ( 2 (+ y x)) (+.f64 y y)) x)
cost-diff	0	#s(approx (* 2 (+ (* x x) (* x y))) (.f64 #s(approx ( 2 (+ y x)) (+.f64 y y)) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	70
0	20	66
1	53	66
2	155	66
3	490	66
4	1556	66
5	2675	66
6	2988	66
7	3946	66
8	4240	66
9	5200	66
10	6780	66
0	8441	66

Stop Event

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

Calls

Call 1

Inputs
#s(approx (* 2 (+ (* x x) (* x y))) (.f64 #s(approx ( 2 (+ y x)) (+.f64 y y)) x))
(.f64 #s(approx ( 2 (+ y x)) (+.f64 y y)) x)
#s(approx (* 2 (+ y x)) (+.f64 y y))
(+.f64 y y)
y
x
#s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (+.f64 x x) x))
(*.f64 (+.f64 x x) x)
(+.f64 x x)
x

Outputs
#s(approx (* 2 (+ (* x x) (* x y))) (.f64 #s(approx ( 2 (+ y x)) (+.f64 y y)) x))
#s(approx (* 2 (+ (* x x) (* x y))) (.f64 #s(approx ( 2 (+ y x)) (*.f64 y #s(literal 2 binary64))) x))
(.f64 #s(approx ( 2 (+ y x)) (+.f64 y y)) x)
(.f64 #s(approx ( 2 (+ y x)) (*.f64 y #s(literal 2 binary64))) x)
#s(approx (* 2 (+ y x)) (+.f64 y y))
#s(approx (* 2 (+ y x)) (*.f64 y #s(literal 2 binary64)))
(+.f64 y y)
(*.f64 y #s(literal 2 binary64))
y
x
#s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (+.f64 x x) x))
#s(approx (* 2 (+ (* x x) (* x y))) (.f64 (.f64 x #s(literal 2 binary64)) x))
(*.f64 (+.f64 x x) x)
(.f64 (.f64 x #s(literal 2 binary64)) x)
(+.f64 x x)
(*.f64 x #s(literal 2 binary64))
x

localize52.0ms (0.8%)

Memory

2.7MiB live, 40.2MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 x x)
accuracy	0	(*.f64 (+.f64 x x) x)
accuracy	26.65194410221511	#s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (+.f64 x x) x))
accuracy	0	(+.f64 y y)
accuracy	0	(.f64 #s(approx ( 2 (+ y x)) (+.f64 y y)) x)
accuracy	0	#s(approx (* 2 (+ (* x x) (* x y))) (.f64 #s(approx ( 2 (+ y x)) (+.f64 y y)) x))
accuracy	32.2214877861519	#s(approx (* 2 (+ y x)) (+.f64 y y))

Samples

45.0ms

256×

valid

Compiler

Compiled 116 to 31 computations (73.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-mult: 33.0ms (88.3% of total)

ival-add: 4.0ms (10.7% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

12.8MiB live, 12.8MiB allocated

Counts

7 → 14

Calls

Call 1

Inputs
#s(approx (* 2 (+ (* x x) (* x y))) (.f64 #s(approx ( 2 (+ y x)) (+.f64 y y)) x))
(.f64 #s(approx ( 2 (+ y x)) (+.f64 y y)) x)
#s(approx (* 2 (+ y x)) (+.f64 y y))
(+.f64 y y)
#s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (+.f64 x x) x))
(*.f64 (+.f64 x x) x)
(+.f64 x x)

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

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	((* 2 (+ (* x x) (* x y))) (* (* 2 (+ y x)) x) (* 2 (+ y x)) (+ y y) (* 2 (+ (* x x) (* x y))) (* (+ x x) x) (+ x x))
1.0ms	x	@	-inf	((* 2 (+ (* x x) (* x y))) (* (* 2 (+ y x)) x) (* 2 (+ y x)) (+ y y) (* 2 (+ (* x x) (* x y))) (* (+ x x) x) (+ x x))
1.0ms	x	@	inf	((* 2 (+ (* x x) (* x y))) (* (* 2 (+ y x)) x) (* 2 (+ y x)) (+ y y) (* 2 (+ (* x x) (* x y))) (* (+ x x) x) (+ x x))
1.0ms	y	@	-inf	((* 2 (+ (* x x) (* x y))) (* (* 2 (+ y x)) x) (* 2 (+ y x)) (+ y y) (* 2 (+ (* x x) (* x y))) (* (+ x x) x) (+ x x))
1.0ms	y	@	inf	((* 2 (+ (* x x) (* x y))) (* (* 2 (+ y x)) x) (* 2 (+ y x)) (+ y y) (* 2 (+ (* x x) (* x y))) (* (+ x x) x) (+ x x))

simplify180.0ms (2.9%)

Memory

-13.2MiB live, 101.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	76
1	146	76
2	501	76
3	1675	76
4	4908	76
5	7902	76
0	8075	76

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 14

Calls

Call 1

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

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

rewrite58.0ms (0.9%)

Memory

30.7MiB live, 67.0MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	67
0	20	57
1	90	45
0	830	45

Stop Event

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

Counts

7 → 428

Calls

Call 1

Inputs
#s(approx (* 2 (+ (* x x) (* x y))) (.f64 #s(approx ( 2 (+ y x)) (+.f64 y y)) x))
(.f64 #s(approx ( 2 (+ y x)) (+.f64 y y)) x)
#s(approx (* 2 (+ y x)) (+.f64 y y))
(+.f64 y y)
#s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (+.f64 x x) x))
(*.f64 (+.f64 x x) x)
(+.f64 x x)

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

eval24.0ms (0.4%)

Memory: -1.3MiB live, 35.7MiB allocated
Compiler: Compiled 4 699 to 728 computations (84.5% saved)

prune35.0ms (0.6%)

Memory

-6.4MiB live, 45.4MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	151	0	151
Fresh	0	0	0
Picked	0	2	2
Done	0	2	2
Total	151	4	155

Accuracy

100.0%

Counts

155 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	58.4%	#s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (+.f64 x x) x))
✓	100.0%	#s(approx (* 2 (+ (* x x) (* x y))) (.f64 (.f64 #s(literal 2 binary64) (+.f64 y x)) x))
✓	57.0%	#s(approx (* 2 (+ (* x x) (* x y))) (.f64 #s(approx ( 2 (+ y x)) (+.f64 y y)) x))
✓	12.3%	#s(literal 0 binary64)

Compiler

Compiled 181 to 76 computations (58% saved)

regimes16.0ms (0.2%)

Memory

-3.7MiB live, 35.2MiB allocated

Counts

9 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(approx (* 2 (+ (* x x) (* x y))) (.f64 #s(approx ( 2 (+ y x)) (+.f64 y y)) x))
#s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (+.f64 x x) x))
#s(approx (* 2 (+ (* x x) (* x y))) (.f64 #s(approx ( 2 (+ y x)) (*.f64 y #s(literal 2 binary64))) x))
#s(approx (* 2 (+ (* x x) (* x y))) (.f64 (.f64 x #s(literal 2 binary64)) x))
#s(approx (* 2 (+ (* x x) (* x y))) (.f64 (.f64 x x) #s(literal 2 binary64)))
(.f64 #s(literal 2 binary64) #s(approx (+ ( x x) (* x y)) (*.f64 y x)))
#s(approx (* 2 (+ (* x x) (* x y))) (.f64 (.f64 #s(literal 2 binary64) (+.f64 y x)) x))
(.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (*.f64 x y)))

Outputs
#s(approx (* 2 (+ (* x x) (* x y))) (.f64 (.f64 #s(literal 2 binary64) (+.f64 y x)) x))

Calls

4 calls:

5.0ms	(+.f64 (.f64 x x) (.f64 x y))
3.0ms	x
3.0ms	y
3.0ms	(.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (*.f64 x y)))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (*.f64 x y)))`
100.0%	1	`(+.f64 (.f64 x x) (.f64 x y))`

Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes128.0ms (2.1%)

Memory

-5.8MiB live, 32.2MiB allocated

Counts

7 → 3

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(approx (* 2 (+ (* x x) (* x y))) (.f64 #s(approx ( 2 (+ y x)) (+.f64 y y)) x))
#s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (+.f64 x x) x))
#s(approx (* 2 (+ (* x x) (* x y))) (.f64 #s(approx ( 2 (+ y x)) (*.f64 y #s(literal 2 binary64))) x))
#s(approx (* 2 (+ (* x x) (* x y))) (.f64 (.f64 x #s(literal 2 binary64)) x))
#s(approx (* 2 (+ (* x x) (* x y))) (.f64 (.f64 x x) #s(literal 2 binary64)))
(.f64 #s(literal 2 binary64) #s(approx (+ ( x x) (* x y)) (*.f64 y x)))

Outputs

#s(approx (* 2 (+ (* x x) (* x y))) (*.f64 #s(approx (* 2 (+ y x)) (+.f64 y y)) x))

#s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (+.f64 x x) x))

#s(approx (* 2 (+ (* x x) (* x y))) (*.f64 #s(approx (* 2 (+ y x)) (+.f64 y y)) x))

Calls

4 calls:

119.0ms	(+.f64 (.f64 x x) (.f64 x y))
3.0ms	y
3.0ms	(.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (*.f64 x y)))
3.0ms	x

Results

Accuracy	Segments	Branch
81.7%	3	`x`
88.7%	3	`y`
79.6%	2	`(.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (*.f64 x y)))`
79.6%	2	`(+.f64 (.f64 x x) (.f64 x y))`

Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes7.0ms (0.1%)

Memory

14.4MiB live, 14.4MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(approx (* 2 (+ (* x x) (* x y))) (.f64 #s(approx ( 2 (+ y x)) (+.f64 y y)) x))

Outputs
#s(approx (* 2 (+ (* x x) (* x y))) (.f64 #s(approx ( 2 (+ y x)) (+.f64 y y)) x))

Calls

4 calls:

2.0ms	y
2.0ms	(.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (*.f64 x y)))
2.0ms	x
1.0ms	(+.f64 (.f64 x x) (.f64 x y))

Results

Accuracy	Segments	Branch
57.0%	1	`(.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (*.f64 x y)))`
57.0%	1	`(+.f64 (.f64 x x) (.f64 x y))`
57.0%	1	`x`
57.0%	1	`y`

Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes29.0ms (0.5%)

Memory

-22.0MiB live, 16.8MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)

Outputs
#s(literal 0 binary64)

Calls

4 calls:

25.0ms	(+.f64 (.f64 x x) (.f64 x y))
1.0ms	(.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (*.f64 x y)))
1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
12.3%	1	`x`
12.3%	1	`y`
12.3%	1	`(.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (*.f64 x y)))`
12.3%	1	`(+.f64 (.f64 x x) (.f64 x y))`

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch28.0ms (0.5%)

Memory

5.5MiB live, 48.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	3.382344209217604e-14	1.1294999512157693e-8
14.0ms	-1.5458349172906022e+50	-7.501033204674093e+45

Samples

15.0ms

272×

valid

Compiler

Compiled 624 to 437 computations (30% saved)

Precisions

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

ival-mult: 5.0ms (73.2% of total)

ival-add: 1.0ms (14.6% of total)

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

exact: 0.0ms (0% of total)

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

simplify30.0ms (0.5%)

Memory

-7.0MiB live, 69.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	104
1	32	104

Stop Event

1×

saturated

Calls

Call 1

Inputs
#s(approx (* 2 (+ (* x x) (* x y))) (.f64 (.f64 #s(literal 2 binary64) (+.f64 y x)) x))
(if (<=.f64 y #s(literal -7600000000000000353510816746230770319166013440 binary64)) #s(approx (* 2 (+ (* x x) (* x y))) (.f64 #s(approx ( 2 (+ y x)) (+.f64 y y)) x)) (if (<=.f64 y #s(literal 6653927711158919/154742504910672534362390528 binary64)) #s(approx (* 2 (+ (* x x) (* x y))) (.f64 (+.f64 x x) x)) #s(approx ( 2 (+ (* x x) (* x y))) (.f64 #s(approx ( 2 (+ y x)) (+.f64 y y)) x))))
#s(approx (* 2 (+ (* x x) (* x y))) (.f64 #s(approx ( 2 (+ y x)) (+.f64 y y)) x))
#s(literal 0 binary64)

Outputs
#s(approx (* 2 (+ (* x x) (* x y))) (.f64 (.f64 #s(literal 2 binary64) (+.f64 y x)) x))
#s(approx (* 2 (+ (* x x) (* x y))) (.f64 (.f64 (+.f64 y x) #s(literal 2 binary64)) x))
(if (<=.f64 y #s(literal -7600000000000000353510816746230770319166013440 binary64)) #s(approx (* 2 (+ (* x x) (* x y))) (.f64 #s(approx ( 2 (+ y x)) (+.f64 y y)) x)) (if (<=.f64 y #s(literal 6653927711158919/154742504910672534362390528 binary64)) #s(approx (* 2 (+ (* x x) (* x y))) (.f64 (+.f64 x x) x)) #s(approx ( 2 (+ (* x x) (* x y))) (.f64 #s(approx ( 2 (+ y x)) (+.f64 y y)) x))))
#s(approx (* 2 (+ (* x x) (* x y))) (.f64 #s(approx ( 2 (+ y x)) (+.f64 y y)) x))
#s(literal 0 binary64)

soundness1.4s (22.5%)

Memory

-1.4MiB live, 474.3MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	7	22
0	11	18
1	46	18
2	411	12
3	6385	12
0	8217	12
0	16	67
0	20	63
1	76	63
2	581	39
0	9941	39
0	64	124
1	239	124
2	746	124
3	2526	124
4	5773	124
0	8038	124
0	40	76
1	153	76
2	508	76
3	1620	76
4	5122	76
0	8306	76
0	17	82
0	24	66
1	85	66
2	628	36
0	9978	36

Stop Event

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

Compiler

Compiled 190 to 94 computations (50.5% saved)

preprocess209.0ms (3.3%)

Memory: 28.4MiB live, 107.4MiB allocated
Compiler: Compiled 240 to 82 computations (65.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.1s (17.8%)

explain93.0ms (1.5%)

preprocess349.0ms (5.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify246.0ms (3.9%)

localize20.0ms (0.3%)

series6.0ms (0.1%)

simplify149.0ms (2.4%)

rewrite133.0ms (2.1%)

eval35.0ms (0.6%)

prune4.0ms (0.1%)

simplify199.0ms (3.2%)

localize40.0ms (0.6%)

series23.0ms (0.4%)

simplify180.0ms (2.9%)

rewrite346.0ms (5.5%)

eval72.0ms (1.1%)

prune5.0ms (0.1%)

simplify209.0ms (3.3%)

localize33.0ms (0.5%)

series5.0ms (0.1%)

simplify154.0ms (2.5%)

rewrite317.0ms (5.1%)

eval6.0ms (0.1%)

prune8.0ms (0.1%)

simplify289.0ms (4.6%)

localize52.0ms (0.8%)

series6.0ms (0.1%)

simplify180.0ms (2.9%)

rewrite58.0ms (0.9%)

eval24.0ms (0.4%)

prune35.0ms (0.6%)

regimes16.0ms (0.2%)

regimes128.0ms (2.1%)

regimes7.0ms (0.1%)

regimes29.0ms (0.5%)

bsearch28.0ms (0.5%)

simplify30.0ms (0.5%)

soundness1.4s (22.5%)

preprocess209.0ms (3.3%)

end0.0ms (0%)

Profiling