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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

1.3MiB live, 1.3MiB 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)

sample1.2s (30.9%)

Memory

20.2MiB live, 1 245.3MiB allocated

Samples

881.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 536.0ms

ival-mult: 481.0ms (89.7% of total)

ival-add: 40.0ms (7.5% of total)

ival-true: 6.0ms (1.1% of total)

exact: 5.0ms (0.9% of total)

ival-assert: 3.0ms (0.6% of total)

Bogosity

explain91.0ms (2.4%)

Memory

23.7MiB live, 261.8MiB 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	73
↳	`(*.f64 x y)`	overflow	41

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

37.0ms

512×

valid

Compiler

Compiled 63 to 25 computations (60.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-mult: 15.0ms (83.6% of total)

ival-add: 2.0ms (11.2% of total)

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

exact: 0.0ms (0% of total)

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

preprocess246.0ms (6.4%)

Memory

11.4MiB live, 201.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	39
1	83	35
2	312	35
3	1056	35
4	2559	35
5	4934	35
6	6173	35
7	6743	35
8	7170	35
9	7408	35
10	7616	35
0	7	9
0	11	7
1	31	7
2	114	7
3	399	7
4	876	7
5	1784	7
6	3583	7
7	5164	7
8	5816	7
9	5964	7
10	6142	7
11	6147	7
12	6147	7
13	6519	7
14	6879	7
15	7129	7
16	7129	7
0	7129	7

Stop Event

1×	iter limit
1×	saturated
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

0.9MiB live, 0.9MiB 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)

simplify156.0ms (4.1%)

Memory

-26.0MiB live, 66.6MiB 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	2	(+.f64 (.f64 x x) (.f64 x y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	25
0	11	21
1	31	21
2	114	21
3	399	21
4	876	21
5	1784	21
6	3583	21
7	5164	21
8	5816	21
9	5964	21
10	6142	21
11	6147	21
12	6147	21
13	6519	21
14	6879	21
15	7129	21
16	7129	21
0	7129	21

Stop Event

1×	iter limit
1×	saturated
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

localize21.0ms (0.6%)

Memory

-1.7MiB live, 43.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x y)
accuracy	0.0	(*.f64 x x)
accuracy	0.00390625	(.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (*.f64 x y)))
accuracy	2.5937417433208236	(+.f64 (.f64 x x) (.f64 x y))

Samples

16.0ms

256×

valid

Compiler

Compiled 27 to 9 computations (66.7% saved)

Precisions

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

ival-mult: 8.0ms (83.3% of total)

ival-add: 1.0ms (10.4% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.2%)

Memory

12.6MiB live, 12.6MiB 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))

simplify177.0ms (4.6%)

Memory

11.1MiB live, 124.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	76
1	153	76
2	509	76
3	1666	76
4	5046	76
5	7786	76
0	8075	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 (+.f64 y x) x) #s(literal 2 binary64))
(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 (+.f64 y x) x) #s(literal 2 binary64))
(+ (* x y) (pow x 2))
(*.f64 (+.f64 y x) x)
(+ (* 2 (* x y)) (* 2 (pow x 2)))
(.f64 (.f64 (+.f64 y x) x) #s(literal 2 binary64))
(* y (+ x (/ (pow x 2) y)))
(*.f64 (+.f64 y x) x)
(* y (+ (* 2 x) (* 2 (/ (pow x 2) y))))
(.f64 (.f64 (+.f64 y x) x) #s(literal 2 binary64))
(* -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 (+.f64 y x) x) #s(literal 2 binary64))

rewrite187.0ms (4.9%)

Memory

-8.9MiB live, 225.9MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	7	22
0	11	18
1	45	18
2	387	12
3	5731	12
0	8167	12

Stop Event

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

Counts

4 → 154

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

eval52.0ms (1.4%)

Memory: 4.8MiB live, 50.3MiB allocated
Compiler: Compiled 3 112 to 509 computations (83.6% saved)

prune89.0ms (2.3%)

Memory

-40.5MiB live, 13.3MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	156	4	160
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	157	4	161

Accuracy

100.0%

Counts

161 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(.f64 #s(literal 2 binary64) (.f64 (+.f64 y x) x))
▶	57.7%	(.f64 #s(literal 2 binary64) #s(approx (+ ( x x) (* x y)) (*.f64 y x)))
▶	58.0%	#s(approx (* 2 (+ (* x x) (* x y))) (.f64 (.f64 x x) #s(literal 2 binary64)))
▶	9.9%	#s(literal 0 binary64)

Compiler

Compiled 36 to 29 computations (19.4% saved)

simplify188.0ms (4.9%)

Memory

13.4MiB live, 148.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	74
0	24	68
1	54	68
2	144	68
3	420	68
4	915	68
5	1818	68
6	3565	68
7	5140	68
8	5792	68
9	5940	68
10	6118	68
11	6123	68
12	6123	68
13	6495	68
14	6855	68
15	7105	68
16	7105	68
0	7105	68

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize138.0ms (3.6%)

Memory

12.8MiB live, 70.6MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 y x)
accuracy	0.0	(*.f64 (+.f64 y x) x)
accuracy	0.00390625	(.f64 #s(literal 2 binary64) (.f64 (+.f64 y x) x))
accuracy	0.0	(*.f64 y x)
accuracy	0.00390625	(.f64 #s(literal 2 binary64) #s(approx (+ ( x x) (* x y)) (*.f64 y x)))
accuracy	27.082579471067262	#s(approx (+ (* x x) (* x y)) (*.f64 y x))
accuracy	0.0	(*.f64 x x)
accuracy	0.00390625	(.f64 (.f64 x x) #s(literal 2 binary64))
accuracy	26.88211949242794	#s(approx (* 2 (+ (* x x) (* x y))) (.f64 (.f64 x x) #s(literal 2 binary64)))

Samples

130.0ms

256×

valid

Compiler

Compiled 62 to 15 computations (75.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 121.0ms

ival-mult: 118.0ms (97.9% of total)

ival-add: 2.0ms (1.7% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.2%)

Memory

10.6MiB live, 10.6MiB allocated

Counts

9 → 21

Calls

Call 1

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

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

Calls

6 calls:

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

simplify148.0ms (3.9%)

Memory

-15.5MiB live, 111.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	93
1	194	93
2	589	93
3	1953	93
4	5248	93
5	7748	93
0	8027	93

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 19

Calls

Call 1

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

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

rewrite150.0ms (3.9%)

Memory

8.7MiB live, 158.0MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	65
0	23	63
1	78	63
2	513	37
0	8101	37

Stop Event

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

Counts

9 → 248

Calls

Call 1

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

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

eval30.0ms (0.8%)

Memory: 29.8MiB live, 73.8MiB allocated
Compiler: Compiled 5 736 to 849 computations (85.2% saved)

prune19.0ms (0.5%)

Memory

-12.3MiB live, 45.2MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	253	0	253
Fresh	0	0	0
Picked	0	4	4
Done	0	0	0
Total	253	4	257

Accuracy

100.0%

Counts

257 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 #s(literal 2 binary64) (.f64 (+.f64 y x) x))
✓	57.7%	(.f64 #s(literal 2 binary64) #s(approx (+ ( x x) (* x y)) (*.f64 y x)))
✓	58.0%	#s(approx (* 2 (+ (* x x) (* x y))) (.f64 (.f64 x x) #s(literal 2 binary64)))
✓	9.9%	#s(literal 0 binary64)

Compiler

Compiled 81 to 50 computations (38.3% saved)

regimes11.0ms (0.3%)

Memory

-12.4MiB live, 32.9MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

4 calls:

4.0ms	y
2.0ms	x
2.0ms	(.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (*.f64 x y)))
2.0ms	(+.f64 (.f64 x x) (.f64 x y))

Results

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

Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes9.0ms (0.2%)

Memory

-11.4MiB live, 33.3MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs
#s(literal 0 binary64)
#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

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

Calls

4 calls:

3.0ms	(.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (*.f64 x y)))
2.0ms	x
2.0ms	y
2.0ms	(+.f64 (.f64 x x) (.f64 x y))

Results

Accuracy	Segments	Branch
82.3%	2	`(+.f64 (.f64 x x) (.f64 x y))`
82.3%	2	`(.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (*.f64 x y)))`
81.7%	3	`x`
86.0%	3	`y`

Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes5.0ms (0.1%)

Memory

26.4MiB live, 26.4MiB allocated

Counts

2 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
58.0%	1	`x`
58.0%	1	`(+.f64 (.f64 x x) (.f64 x y))`
58.0%	1	`(.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (*.f64 x y)))`
58.0%	1	`y`

Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes6.0ms (0.2%)

Memory

-23.3MiB live, 22.9MiB 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:

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

Results

Accuracy	Segments	Branch
9.9%	1	`x`
9.9%	1	`(+.f64 (.f64 x x) (.f64 x y))`
9.9%	1	`(.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (*.f64 x y)))`
9.9%	1	`y`

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch150.0ms (3.9%)

Memory

-10.6MiB live, 132.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
126.0ms	7.932664103999633e-63	1.4240345287773382e-56
15.0ms	-5.296329689112131e-7	-1.850555504795854e-11

Samples

129.0ms

272×

valid

Compiler

Compiled 488 to 386 computations (20.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 6.0ms (72.6% of total)

ival-add: 2.0ms (24.2% of total)

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

exact: 0.0ms (0% of total)

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

simplify56.0ms (1.5%)

Memory

27.1MiB live, 69.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	54
1	46	54
2	129	54
3	415	54
4	909	54
5	1841	54
6	3812	54
7	7049	54

Stop Event

1×	node limit

Calls

Call 1

Inputs
(.f64 #s(literal 2 binary64) (.f64 (+.f64 y x) x))
(if (<=.f64 y #s(literal -4911261142184431/37778931862957161709568 binary64)) (.f64 #s(literal 2 binary64) #s(approx (+ ( x x) (* x y)) (.f64 y x))) (if (<=.f64 y #s(literal 6183964726724345/441711766194596082395824375185729628956870974218904739530401550323154944 binary64)) #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 x x) #s(literal 2 binary64)))
#s(literal 0 binary64)

Outputs
(.f64 #s(literal 2 binary64) (.f64 (+.f64 y x) x))
(if (<=.f64 y #s(literal -4911261142184431/37778931862957161709568 binary64)) (.f64 #s(literal 2 binary64) #s(approx (+ ( x x) (* x y)) (.f64 y x))) (if (<=.f64 y #s(literal 6183964726724345/441711766194596082395824375185729628956870974218904739530401550323154944 binary64)) #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)))))
(if (or (<=.f64 y #s(literal -4911261142184431/37778931862957161709568 binary64)) (not (<=.f64 y #s(literal 6183964726724345/441711766194596082395824375185729628956870974218904739530401550323154944 binary64)))) (.f64 #s(literal 2 binary64) #s(approx (+ ( x x) (* x y)) (.f64 y x))) #s(approx ( 2 (+ (* x x) (* x y))) (.f64 (.f64 x x) #s(literal 2 binary64))))
#s(approx (* 2 (+ (* x x) (* x y))) (.f64 (.f64 x x) #s(literal 2 binary64)))
#s(literal 0 binary64)

soundness659.0ms (17.2%)

Memory

-49.7MiB live, 316.5MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	40	76
1	153	76
2	509	76
3	1666	76
4	5046	76
5	7786	76
0	8075	76
0	7	22
0	11	18
1	45	18
2	387	12
3	5731	12
0	8167	12

Stop Event

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

Compiler

Compiled 91 to 50 computations (45.1% saved)

preprocess37.0ms (1%)

Memory: 13.0MiB live, 58.1MiB allocated
Compiler: Compiled 152 to 76 computations (50% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.2s (30.9%)

explain91.0ms (2.4%)

preprocess246.0ms (6.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify156.0ms (4.1%)

localize21.0ms (0.6%)

series6.0ms (0.2%)

simplify177.0ms (4.6%)

rewrite187.0ms (4.9%)

eval52.0ms (1.4%)

prune89.0ms (2.3%)

simplify188.0ms (4.9%)

localize138.0ms (3.6%)

series6.0ms (0.2%)

simplify148.0ms (3.9%)

rewrite150.0ms (3.9%)

eval30.0ms (0.8%)

prune19.0ms (0.5%)

regimes11.0ms (0.3%)

regimes9.0ms (0.2%)

regimes5.0ms (0.1%)

regimes6.0ms (0.2%)

bsearch150.0ms (3.9%)

simplify56.0ms (1.5%)

soundness659.0ms (17.2%)

preprocess37.0ms (1%)

end0.0ms (0%)

Profiling