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

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 11 to 9 computations (18.2% saved)

sample1.0s (22.1%)

Memory

-2.3MiB live, 1 438.5MiB allocated; 313ms collecting garbage

Samples

697.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 490.0ms

ival-mult: 433.0ms (88.4% of total)

ival-add: 41.0ms (8.4% of total)

ival-true: 6.0ms (1.2% of total)

exact: 5.0ms (1% of total)

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

adjust: 2.0ms (0.4% of total)

Bogosity

explain177.0ms (3.9%)

Memory

-37.7MiB live, 158.3MiB allocated; 32ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
8	-	-	`(+.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	8	0
↳	`(*.f64 x x)`	overflow	60
↳	`(*.f64 x y)`	overflow	25

Confusion

	Predicted +	Predicted -
+	8	0
-	0	248

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	8	0	0
-	0	0	248

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	248
1	8

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

80.0ms

512×

valid

Compiler

Compiled 63 to 25 computations (60.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 66.0ms

ival-mult: 62.0ms (94.2% of total)

ival-add: 2.0ms (3% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

preprocess248.0ms (5.4%)

Memory

51.5MiB live, 141.2MiB allocated; 12ms collecting garbage

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: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

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

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.8%	(.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (*.f64 x y)))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify168.0ms (3.7%)

Memory

-17.6MiB live, 35.6MiB allocated; 10ms collecting garbage

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

localize33.0ms (0.7%)

Memory

-5.6MiB live, 38.1MiB allocated; 8ms collecting garbage

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	1.8632709291510292	(+.f64 (.f64 x x) (.f64 x y))

Samples

28.0ms

256×

valid

Compiler

Compiled 27 to 9 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-mult: 15.0ms (91.5% of total)

ival-add: 1.0ms (6.1% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

12.7MiB live, 12.7MiB allocated; 0ms collecting garbage

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))

simplify121.0ms (2.6%)

Memory

-18.2MiB live, 169.0MiB allocated; 28ms collecting garbage

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))

rewrite140.0ms (3.1%)

Memory

-1.3MiB live, 281.5MiB allocated; 27ms collecting garbage

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))

eval54.0ms (1.2%)

Memory: 10.8MiB live, 120.6MiB allocated; 18ms collecting garbage
Compiler: Compiled 3 112 to 509 computations (83.6% saved)

prune13.0ms (0.3%)

Memory

-22.8MiB live, 21.9MiB allocated; 9ms collecting garbage

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	154	6	160
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	155	6	161

Accuracy

100.0%

Counts

161 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.0%	(.f64 #s(literal 2 binary64) (fma.f64 y x (.f64 x x)))
▶	98.8%	(.f64 #s(literal 2 binary64) (fma.f64 x x (.f64 y x)))
▶	100.0%	(.f64 #s(literal 2 binary64) (.f64 (+.f64 y x) x))
▶	55.2%	(.f64 #s(literal 2 binary64) #s(approx (+ ( x x) (* x y)) (*.f64 y x)))
▶	57.6%	#s(approx (* 2 (+ (* x x) (* x y))) (.f64 (.f64 x x) #s(literal 2 binary64)))
▶	9.3%	#s(literal 0 binary64)

Compiler

Compiled 104 to 82 computations (21.2% saved)

simplify159.0ms (3.5%)

Memory

39.0MiB live, 85.2MiB allocated; 6ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 y x)
cost-diff	0	(.f64 #s(literal 2 binary64) (fma.f64 x x (.f64 y x)))
cost-diff	1	(fma.f64 x x (*.f64 y 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)))
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))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	94
0	28	86
1	66	86
2	159	86
3	469	86
4	999	86
5	1867	86
6	3579	86
7	5135	86
8	5769	86
9	5918	86
10	6098	86
11	6103	86
12	6103	86
13	6475	86
14	6835	86
15	7085	86
16	7085	86
0	7085	86

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize117.0ms (2.6%)

Memory

4.5MiB live, 52.0MiB allocated; 29ms collecting garbage

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 y x)
accuracy	0.00390625	(.f64 #s(literal 2 binary64) (fma.f64 x x (.f64 y x)))
accuracy	0.7617104928166806	(fma.f64 x x (*.f64 y 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	28.69575949853811	#s(approx (+ (* x x) (* x y)) (*.f64 y x))
accuracy	0.0	(*.f64 x x)
accuracy	0.0078125	(.f64 (.f64 x x) #s(literal 2 binary64))
accuracy	27.154616088836423	#s(approx (* 2 (+ (* x x) (* x y))) (.f64 (.f64 x x) #s(literal 2 binary64)))
accuracy	0.0	(+.f64 y x)
accuracy	0.00390625	(.f64 #s(literal 2 binary64) (.f64 (+.f64 y x) x))
accuracy	0.0078125	(*.f64 (+.f64 y x) x)

Samples

107.0ms

256×

valid

Compiler

Compiled 84 to 17 computations (79.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-mult: 20.0ms (84% of total)

ival-add: 4.0ms (16.8% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series27.0ms (0.6%)

Memory

-33.8MiB live, 11.6MiB allocated; 11ms collecting garbage

Counts

11 → 21

Calls

Call 1

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

Outputs
(* 2 (* x y))
(* x (+ (* 2 x) (* 2 y)))
(* x y)
(* x (+ x y))
y
(+ x y)
(* 2 (pow x 2))
(pow x 2)
(* (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
22.0ms	x	@	inf	((* 2 (* (+ y x) x)) (* (+ y x) x) (+ y x) (* 2 (+ (* x x) (* x y))) (* (* x x) 2) (* x x) (* 2 (+ (* x x) (* x y))) (+ (* x x) (* x y)) (* y x) (+ (* x x) (* y x)) (* 2 (+ (* x x) (* y x))))
2.0ms	x	@	-inf	((* 2 (* (+ y x) x)) (* (+ y x) x) (+ y x) (* 2 (+ (* x x) (* x y))) (* (* x x) 2) (* x x) (* 2 (+ (* x x) (* x y))) (+ (* x x) (* x y)) (* y x) (+ (* x x) (* y x)) (* 2 (+ (* x x) (* y x))))
1.0ms	x	@	0	((* 2 (* (+ y x) x)) (* (+ y x) x) (+ y x) (* 2 (+ (* x x) (* x y))) (* (* x x) 2) (* x x) (* 2 (+ (* x x) (* x y))) (+ (* x x) (* x y)) (* y x) (+ (* x x) (* y x)) (* 2 (+ (* x x) (* y x))))
1.0ms	y	@	-inf	((* 2 (* (+ y x) x)) (* (+ y x) x) (+ y x) (* 2 (+ (* x x) (* x y))) (* (* x x) 2) (* x x) (* 2 (+ (* x x) (* x y))) (+ (* x x) (* x y)) (* y x) (+ (* x x) (* y x)) (* 2 (+ (* x x) (* y x))))
1.0ms	y	@	inf	((* 2 (* (+ y x) x)) (* (+ y x) x) (+ y x) (* 2 (+ (* x x) (* x y))) (* (* x x) 2) (* x x) (* 2 (+ (* x x) (* x y))) (+ (* x x) (* x y)) (* y x) (+ (* x x) (* y x)) (* 2 (+ (* x x) (* y x))))

simplify130.0ms (2.8%)

Memory

36.1MiB live, 123.6MiB allocated; 17ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	93
1	194	93
2	589	93
3	1951	93
4	5281	93
5	7774	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)))
(* x y)
(* x (+ x y))
y
(+ x y)
(* 2 (pow x 2))
(pow x 2)
(* (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 x y) #s(literal 2 binary64))
(* x (+ (* 2 x) (* 2 y)))
(.f64 (.f64 (+.f64 x y) x) #s(literal 2 binary64))
(* x y)
(*.f64 x y)
(* x (+ x y))
(*.f64 (+.f64 x y) x)
y
(+ x y)
(+.f64 x y)
(* 2 (pow x 2))
(.f64 (.f64 x x) #s(literal 2 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 2 (* 2 (/ y x))))
(.f64 (.f64 (+.f64 x y) x) #s(literal 2 binary64))
(* (pow x 2) (+ 1 (/ y x)))
(*.f64 (+.f64 x y) x)
x
(* x (+ 1 (/ y x)))
(+.f64 x y)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 x y)
(+ (* 2 (* x y)) (* 2 (pow x 2)))
(.f64 (.f64 (+.f64 x y) x) #s(literal 2 binary64))
(+ (* x y) (pow x 2))
(*.f64 (+.f64 x y) x)
(* y (+ (* 2 x) (* 2 (/ (pow x 2) y))))
(.f64 (.f64 (+.f64 x y) x) #s(literal 2 binary64))
(* y (+ x (/ (pow x 2) y)))
(*.f64 (+.f64 x y) x)
(* y (+ 1 (/ x y)))
(+.f64 x y)
(* -1 (* y (+ (* -2 x) (* -2 (/ (pow x 2) y)))))
(.f64 (.f64 (+.f64 x y) x) #s(literal 2 binary64))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow x 2) y)))))
(*.f64 (+.f64 x y) x)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 x y)

rewrite161.0ms (3.5%)

Memory

-6.0MiB live, 283.0MiB allocated; 40ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	79
0	27	67
1	101	67
2	551	43
0	8212	43

Stop Event

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

Counts

11 → 406

Calls

Call 1

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

Outputs
#s(literal 0 binary64)
(.f64 (/.f64 (.f64 (fma.f64 x x (.f64 y y)) 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 x x (.f64 y y)) x) (fma.f64 x x (.f64 y y))) (-.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 (-.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 (.f64 (.f64 x y) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))) (fma.f64 (.f64 (.f64 x y) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 (.f64 (.f64 (.f64 x y) x) (-.f64 y x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (.f64 (.f64 (.f64 x y) x) (-.f64 y x)) (fma.f64 (.f64 (.f64 x y) 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 (fma.f64 x x (.f64 y y)) 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 (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 (pow.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (fma.f64 (.f64 (*.f64 x y) 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 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 (*.f64 x y) x) (-.f64 y x) (pow.f64 x #s(literal 4 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 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 (neg.f64 y))))
(*.f64 (-.f64 x (neg.f64 y)) x)
(*.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 x x (.f64 y y)) (/.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 y) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))) (/.f64 (.f64 (-.f64 x y) x) (fma.f64 (.f64 (.f64 x y) x) (-.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 (neg.f64 (-.f64 x y)))
(*.f64 x (-.f64 x (neg.f64 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 x x (.f64 y y))) 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 x x (.f64 y y)))) (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 x x (.f64 y y))) (-.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 x x (.f64 y y)))) (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 x y) #s(literal 2 binary64)) x) (-.f64 x y)) (/.f64 (/.f64 (pow.f64 (.f64 x y) #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 y) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 (.f64 x y) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))))) (.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 x y) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 x y) x) (-.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 x y) #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 x y) #s(literal 2 binary64)) x) (-.f64 x y)) (/.f64 (/.f64 (pow.f64 (.f64 x y) #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 x y) #s(literal 2 binary64)) x) (-.f64 x y))))))
(/.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 x) x) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 x y) x) (-.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 y) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 x y) x) (-.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 y) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 (.f64 x y) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))) (-.f64 (.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 x y) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 x y) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))))) (.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 (.f64 x y) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 x y) 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 (neg.f64 y)))
(/.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 x x (.f64 y y)) 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 x y) #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 y) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))) (.f64 (fma.f64 (.f64 (.f64 x y) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (.f64 x y) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (.f64 (.f64 x y) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)))
(/.f64 (.f64 (fma.f64 x x (.f64 y y)) 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 x y) #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 x y) #s(literal 6 binary64))) (.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 x y) x) (-.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 x y) #s(literal 6 binary64))) (.f64 (pow.f64 (fma.f64 (.f64 (.f64 x y) 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 x y) #s(literal 9 binary64)) (pow.f64 x #s(literal 18 binary64))) (.f64 (-.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (.f64 x y) #s(literal 6 binary64))) (.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (.f64 (.f64 x y) 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 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (neg.f64 (neg.f64 (fma.f64 (.f64 (*.f64 x y) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (neg.f64 (fma.f64 (.f64 (*.f64 x y) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (.f64 (*.f64 x y) 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 x y) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))) (fma.f64 (.f64 (.f64 x y) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (fma.f64 (.f64 (*.f64 x y) 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 x y) x) (-.f64 y x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (.f64 (.f64 (.f64 x y) x) (-.f64 y x)) (fma.f64 (.f64 (.f64 x y) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))) (/.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (fma.f64 (.f64 (*.f64 x y) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))))
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(fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 (.f64 (.f64 (.f64 x y) x) (-.f64 y x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (.f64 (.f64 (.f64 x y) x) (-.f64 y x)) (fma.f64 (.f64 (.f64 x y) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))) (/.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (fma.f64 (.f64 (*.f64 x y) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 (.f64 x y) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))) (/.f64 (/.f64 (pow.f64 (.f64 x y) #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 x y) #s(literal 2 binary64)) x) (-.f64 x y)))
(fma.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (pow.f64 (fma.f64 (.f64 (.f64 x y) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))) (fma.f64 (.f64 (.f64 x y) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 (*.f64 x y) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (.f64 (.f64 x y) x) (-.f64 y x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (.f64 (.f64 (.f64 x y) x) (-.f64 y x)) (fma.f64 (.f64 (.f64 x y) 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 x y) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 (/.f64 (.f64 (neg.f64 x) x) x) (/.f64 (.f64 (neg.f64 x) x) (-.f64 x y)) (/.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) x) (-.f64 x y)))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) x) (/.f64 (neg.f64 x) (-.f64 x y)) (/.f64 (/.f64 (pow.f64 (*.f64 x y) #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 x y) #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 x y) #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 x y) #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 x y) #s(literal 2 binary64)) x) (-.f64 x y)))
(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) (neg.f64 y)))
(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 x y))
(fma.f64 (.f64 (neg.f64 x) x) (/.f64 (.f64 (neg.f64 x) x) (.f64 (-.f64 x y) x)) (/.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) x) (-.f64 x y)))
(fma.f64 (pow.f64 (.f64 x y) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (.f64 x y) #s(literal 3/2 binary64)) (fma.f64 (.f64 (.f64 x y) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 (.f64 x y) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (.f64 y y))) (neg.f64 x) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y))) (neg.f64 x)))
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (.f64 y y))) x (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y))) x))
(fma.f64 (neg.f64 y) x (*.f64 (neg.f64 x) x))
(fma.f64 (neg.f64 y) x (*.f64 x x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (neg.f64 x) (.f64 (-.f64 x y) x)) (/.f64 (/.f64 (pow.f64 (.f64 x y) #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 x y) #s(literal 2 binary64)) x) (-.f64 x y)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 x y) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 (.f64 x y) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 x y) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (fma.f64 (.f64 (*.f64 x y) 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 x y) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 (.f64 x y) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (/.f64 (.f64 x y) (fma.f64 (.f64 (.f64 x y) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 (.f64 x y) 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 x y) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 x y) 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 x y) #s(literal 2 binary64)) x) (-.f64 x y)))
(fma.f64 (neg.f64 x) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (.f64 y y))) (.f64 (neg.f64 x) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y)))))
(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) (neg.f64 y)))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (neg.f64 x) y))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 x y))
(fma.f64 (neg.f64 x) x (*.f64 (neg.f64 x) y))
(fma.f64 (neg.f64 x) x (*.f64 x y))
(fma.f64 (neg.f64 x) y (*.f64 (neg.f64 x) x))
(fma.f64 (neg.f64 x) y (*.f64 x x))
(fma.f64 (.f64 x y) (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 (.f64 (.f64 x y) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 (.f64 x y) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 (.f64 x x) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 (.f64 x y) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 x y) 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 x y) #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 x y) #s(literal 2 binary64)) x) (-.f64 x y)))
(fma.f64 x (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (.f64 y y))) (.f64 x (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y 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 x y))
(fma.f64 x x (*.f64 (neg.f64 y) (neg.f64 x)))
(fma.f64 x x (*.f64 (neg.f64 x) (neg.f64 y)))
(fma.f64 x x (*.f64 (neg.f64 x) y))
(fma.f64 x x (*.f64 x y))
(fma.f64 x y (*.f64 (neg.f64 x) x))
(fma.f64 x y (*.f64 x x))
(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))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 (.f64 x y) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (fma.f64 (.f64 (*.f64 x y) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 x y) #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 x y) #s(literal 2 binary64)) x) (-.f64 x y)))
(-.f64 (.f64 x y) (.f64 (neg.f64 x) x))
(-.f64 (.f64 x y) (.f64 x x))
(-.f64 (.f64 x x) (.f64 (neg.f64 y) (neg.f64 x)))
(-.f64 (.f64 x x) (.f64 (neg.f64 x) (neg.f64 y)))
(-.f64 (.f64 x x) (.f64 (neg.f64 x) y))
(-.f64 (.f64 x x) (.f64 x y))
(+.f64 (.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (.f64 y y))) (neg.f64 x)) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (.f64 y y))) (neg.f64 x)))
(+.f64 (.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (.f64 y y))) x) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (.f64 y y))) x))
(+.f64 (.f64 (neg.f64 x) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (.f64 y y)))) (.f64 (neg.f64 x) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (.f64 y y)))))
(+.f64 (.f64 x (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (.f64 y y)))) (.f64 x (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (.f64 y y)))))
(+.f64 (.f64 (neg.f64 x) x) (.f64 (neg.f64 x) y))
(+.f64 (.f64 (neg.f64 x) x) (.f64 x y))
(+.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 x y) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 (*.f64 x y) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 (.f64 x y) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (fma.f64 (.f64 (*.f64 x y) 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 x y) #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 x y) (.f64 (neg.f64 x) x))
(+.f64 (.f64 x y) (.f64 x x))
(+.f64 (.f64 x x) (.f64 (neg.f64 y) (neg.f64 x)))
(+.f64 (.f64 x x) (.f64 (neg.f64 x) (neg.f64 y)))
(+.f64 (.f64 x x) (.f64 (neg.f64 x) y))
(+.f64 (.f64 x x) (.f64 x y))
#s(literal 0 binary64)

eval55.0ms (1.2%)

Memory: -11.2MiB live, 80.1MiB allocated; 7ms collecting garbage
Compiler: Compiled 5 811 to 863 computations (85.1% saved)

prune6.0ms (0.1%)

Memory

20.6MiB live, 20.6MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	259	1	260
Fresh	0	1	1
Picked	1	4	5
Done	0	0	0
Total	260	6	266

Accuracy

100.0%

Counts

266 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.0%	(.f64 #s(literal 2 binary64) (fma.f64 y x (.f64 x x)))
✓	98.8%	(.f64 #s(literal 2 binary64) (fma.f64 x x (.f64 y x)))
✓	100.0%	(.f64 #s(literal 2 binary64) (.f64 (+.f64 y x) x))
✓	55.2%	(.f64 #s(literal 2 binary64) #s(approx (+ ( x x) (* x y)) (*.f64 y x)))
▶	57.6%	#s(approx (* 2 (+ (* x x) (* x y))) (.f64 (.f64 x #s(literal 2 binary64)) x))
✓	9.3%	#s(literal 0 binary64)

Compiler

Compiled 52 to 41 computations (21.2% saved)

simplify175.0ms (3.8%)

Memory

-30.9MiB live, 70.4MiB allocated; 37ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 #s(literal 2 binary64) (fma.f64 y x (.f64 x x)))
cost-diff	1	(fma.f64 y x (*.f64 x x))
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))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	45
0	19	41
1	54	41
2	157	41
3	458	41
4	1011	41
5	1864	41
6	3579	41
7	5137	41
8	5789	41
9	5937	41
10	6115	41
11	6120	41
12	6120	41
13	6492	41
14	6852	41
15	7102	41
16	7102	41
0	7102	41

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize32.0ms (0.7%)

Memory

24.3MiB live, 67.5MiB allocated; 6ms collecting garbage

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x x)
accuracy	0.00390625	(.f64 #s(literal 2 binary64) (fma.f64 y x (.f64 x x)))
accuracy	1.253892488027801	(fma.f64 y x (*.f64 x x))
accuracy	0.0	(.f64 (.f64 x #s(literal 2 binary64)) x)
accuracy	0.0	(*.f64 x #s(literal 2 binary64))
accuracy	27.154616088836423	#s(approx (* 2 (+ (* x x) (* x y))) (.f64 (.f64 x #s(literal 2 binary64)) x))

Samples

24.0ms

256×

valid

Compiler

Compiled 43 to 14 computations (67.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-mult: 14.0ms (85.6% of total)

ival-add: 2.0ms (12.2% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

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

Counts

6 → 15

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((* 2 (+ (* x x) (* x y))) (* (* x 2) x) (* x 2) (+ (* y x) (* x x)) (* 2 (+ (* y x) (* x x))) (* x x))
1.0ms	x	@	inf	((* 2 (+ (* x x) (* x y))) (* (* x 2) x) (* x 2) (+ (* y x) (* x x)) (* 2 (+ (* y x) (* x x))) (* x x))
1.0ms	x	@	0	((* 2 (+ (* x x) (* x y))) (* (* x 2) x) (* x 2) (+ (* y x) (* x x)) (* 2 (+ (* y x) (* x x))) (* x x))
0.0ms	y	@	-inf	((* 2 (+ (* x x) (* x y))) (* (* x 2) x) (* x 2) (+ (* y x) (* x x)) (* 2 (+ (* y x) (* x x))) (* x x))
0.0ms	y	@	inf	((* 2 (+ (* x x) (* x y))) (* (* x 2) x) (* x 2) (+ (* y x) (* x x)) (* 2 (+ (* y x) (* x x))) (* x x))

simplify113.0ms (2.5%)

Memory

-27.3MiB live, 160.5MiB allocated; 32ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	79
1	153	79
2	507	79
3	1661	79
4	5045	79
5	7736	79
0	8025	79

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 15

Calls

Call 1

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

rewrite105.0ms (2.3%)

Memory

4.9MiB live, 191.0MiB allocated; 30ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	40
0	19	36
1	83	36
2	647	24
0	10000	24

Stop Event

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

Counts

6 → 225

Calls

Call 1

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

eval48.0ms (1.1%)

Memory: 40.3MiB live, 86.2MiB allocated; 4ms collecting garbage
Compiler: Compiled 5 287 to 727 computations (86.2% saved)

prune10.0ms (0.2%)

Memory

-33.2MiB live, 24.2MiB allocated; 8ms collecting garbage

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	231	1	232
Fresh	0	0	0
Picked	1	1	2
Done	0	4	4
Total	232	6	238

Accuracy

100.0%

Counts

238 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.0%	(.f64 #s(literal 2 binary64) (fma.f64 y x (.f64 x x)))
✓	98.8%	(.f64 #s(literal 2 binary64) (fma.f64 x x (.f64 y x)))
✓	100.0%	(.f64 #s(literal 2 binary64) (.f64 (+.f64 y x) x))
✓	55.2%	(.f64 #s(literal 2 binary64) #s(approx (+ ( x x) (* x y)) (*.f64 y x)))
▶	57.6%	#s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (+.f64 x x) x))
✓	9.3%	#s(literal 0 binary64)

Compiler

Compiled 52 to 40 computations (23.1% saved)

simplify154.0ms (3.4%)

Memory

27.4MiB live, 120.0MiB allocated; 7ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(+.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))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	24
0	12	22
1	34	22
2	119	22
3	384	22
4	860	22
5	1768	22
6	3586	22
7	5170	22
8	5822	22
9	5970	22
10	6148	22
11	6153	22
12	6153	22
13	6525	22
14	6885	22
15	7135	22
16	7135	22
0	7135	22

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#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 (+.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

localize91.0ms (2%)

Memory

-45.1MiB live, 126.7MiB allocated; 81ms collecting garbage

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 x x)
accuracy	0.0	(*.f64 (+.f64 x x) x)
accuracy	27.154616088836423	#s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (+.f64 x x) x))

Samples

86.0ms

256×

valid

Compiler

Compiled 20 to 11 computations (45% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-mult: 28.0ms (91.6% of total)

ival-add: 2.0ms (6.5% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

8.9MiB live, 8.9MiB allocated; 0ms collecting garbage

Counts

3 → 8

Calls

Call 1

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

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	((* 2 (+ (* x x) (* x y))) (* (+ x x) x) (+ x x))
1.0ms	x	@	-inf	((* 2 (+ (* x x) (* x y))) (* (+ x x) x) (+ x x))
1.0ms	x	@	0	((* 2 (+ (* x x) (* x y))) (* (+ x x) x) (+ x x))
0.0ms	y	@	-inf	((* 2 (+ (* x x) (* x y))) (* (+ x x) x) (+ x x))
0.0ms	y	@	0	((* 2 (+ (* x x) (* x y))) (* (+ x x) x) (+ x x))

simplify116.0ms (2.5%)

Memory

11.4MiB live, 103.8MiB allocated; 9ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	48
1	102	48
2	352	48
3	1158	48
4	4544	48
0	8109	48

Stop Event

1×	iter limit
1×	node limit

Counts

8 → 8

Calls

Call 1

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

rewrite94.0ms (2.1%)

Memory

-15.9MiB live, 37.9MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	23
0	12	19
1	55	17
0	506	17

Stop Event

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

Counts

3 → 55

Calls

Call 1

Inputs
#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 x #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 (.f64 x #s(literal 2 binary64)) x)
(.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 x x) #s(literal 2 binary64))
(.f64 x (.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (.f64 x x))
(*.f64 #s(literal 2 binary64) x)
(/.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 x (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x #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 #s(literal 0 binary64) #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 (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)) (*.f64 x x))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (*.f64 x x))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (*.f64 x x))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 x x))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 x x))
(fma.f64 x x (*.f64 x x))
(-.f64 (/.f64 (.f64 x x) #s(literal 0 binary64)) (/.f64 (.f64 x x) #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 x x) (.f64 x x))
(+.f64 x x)
(.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 (.f64 x #s(literal 2 binary64)) x)
(.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 x x) #s(literal 2 binary64))
(.f64 x (.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (.f64 x x))
(*.f64 #s(literal 2 binary64) x)
(/.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 x (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x #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 #s(literal 0 binary64) #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 (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)) (*.f64 x x))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (*.f64 x x))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (*.f64 x x))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 x x))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 x x))
(fma.f64 x x (*.f64 x x))
(-.f64 (/.f64 (.f64 x x) #s(literal 0 binary64)) (/.f64 (.f64 x x) #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 x x) (.f64 x x))
(+.f64 x x)

eval3.0ms (0.1%)

Memory: 5.3MiB live, 5.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 563 to 100 computations (82.2% saved)

prune4.0ms (0.1%)

Memory

7.2MiB live, 7.2MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	31	1	32
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	31	7	38

Accuracy

100.0%

Counts

38 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.0%	(.f64 #s(literal 2 binary64) (fma.f64 y x (.f64 x x)))
✓	98.8%	(.f64 #s(literal 2 binary64) (fma.f64 x x (.f64 y x)))
✓	100.0%	(.f64 #s(literal 2 binary64) (.f64 (+.f64 y x) x))
✓	55.2%	(.f64 #s(literal 2 binary64) #s(approx (+ ( x x) (* x y)) (*.f64 y x)))
	4.3%	#s(approx (* 2 (+ (* x x) (* x y))) (+.f64 x x))
✓	57.6%	#s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (+.f64 x x) x))
✓	9.3%	#s(literal 0 binary64)

Compiler

Compiled 169 to 81 computations (52.1% saved)

regimes114.0ms (2.5%)

Memory

-23.0MiB live, 20.8MiB allocated; 7ms collecting garbage

Counts

10 → 1

Calls

Call 1

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

104.0ms	y
3.0ms	x
3.0ms	(.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (*.f64 x y)))
3.0ms	(+.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)

regimes10.0ms (0.2%)

Memory

21.8MiB live, 21.8MiB allocated; 0ms collecting garbage

Counts

6 → 3

Calls

Call 1

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

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

Results

Accuracy	Segments	Branch
82.1%	2	`(+.f64 (.f64 x x) (.f64 x y))`
82.1%	2	`(.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (*.f64 x y)))`
80.7%	3	`x`
86.6%	3	`y`

Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes17.0ms (0.4%)

Memory

-18.7MiB live, 23.9MiB allocated; 7ms collecting garbage

Counts

5 → 1

Calls

Call 1

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

Calls

4 calls:

10.0ms	(.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
57.6%	1	`x`
57.6%	1	`(+.f64 (.f64 x x) (.f64 x y))`
57.6%	1	`(.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (*.f64 x y)))`
57.6%	1	`y`

Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes6.0ms (0.1%)

Memory

12.6MiB live, 12.6MiB allocated; 0ms collecting garbage

Accuracy

Total -4.4b remaining (-7.5%)

Threshold costs -4.4b (-7.5%)

Counts

2 → 1

Calls

Call 1

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

Outputs
#s(literal 0 binary64)

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
9.3%	1	`y`
9.3%	1	`(+.f64 (.f64 x x) (.f64 x y))`
9.3%	1	`(.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (*.f64 x y)))`
9.3%	1	`x`

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch26.0ms (0.6%)

Memory

17.1MiB live, 17.1MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	4.02961706928206e-16	2.885698139874277e-11
11.0ms	-30383772533097450.0	-52573534808690.07

Samples

13.0ms

272×

valid

Compiler

Compiled 488 to 369 computations (24.4% saved)

Precisions

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

ival-mult: 5.0ms (72.9% of total)

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

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

simplify162.0ms (3.5%)

Memory

-45.8MiB live, 55.5MiB allocated; 18ms collecting garbage

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 -3600000000000000 binary64)) (.f64 #s(literal 2 binary64) #s(approx (+ ( x x) (* x y)) (.f64 y x))) (if (<=.f64 y #s(literal 7764359926397905/39614081257132168796771975168 binary64)) #s(approx ( 2 (+ (* x x) (* x y))) (.f64 (+.f64 x x) x)) (.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) x))
#s(literal 0 binary64)

Outputs
(.f64 #s(literal 2 binary64) (.f64 (+.f64 y x) x))
(if (<=.f64 y #s(literal -3600000000000000 binary64)) (.f64 #s(literal 2 binary64) #s(approx (+ ( x x) (* x y)) (.f64 y x))) (if (<=.f64 y #s(literal 7764359926397905/39614081257132168796771975168 binary64)) #s(approx ( 2 (+ (* x x) (* x y))) (.f64 (+.f64 x x) x)) (.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x)))))
(if (or (<=.f64 y #s(literal -3600000000000000 binary64)) (not (<=.f64 y #s(literal 7764359926397905/39614081257132168796771975168 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) x)))
#s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (+.f64 x x) x))
#s(literal 0 binary64)

derivations620.0ms (13.6%)

Memory

31.9MiB live, 318.4MiB allocated; 23ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	79
0	27	67
1	101	67
2	551	43
0	8212	43
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
0	13	40
0	19	36
1	83	36
2	647	24
0	10000	24

Stop Event

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

Compiler

Compiled 60 to 25 computations (58.3% saved)

preprocess40.0ms (0.9%)

Memory: -40.2MiB live, 58.9MiB allocated; 13ms collecting garbage
Compiler: Compiled 152 to 76 computations (50% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.0s (22.1%)

explain177.0ms (3.9%)

preprocess248.0ms (5.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify168.0ms (3.7%)

localize33.0ms (0.7%)

series6.0ms (0.1%)

simplify121.0ms (2.6%)

rewrite140.0ms (3.1%)

eval54.0ms (1.2%)

prune13.0ms (0.3%)

simplify159.0ms (3.5%)

localize117.0ms (2.6%)

series27.0ms (0.6%)

simplify130.0ms (2.8%)

rewrite161.0ms (3.5%)

eval55.0ms (1.2%)

prune6.0ms (0.1%)

simplify175.0ms (3.8%)

localize32.0ms (0.7%)

series4.0ms (0.1%)

simplify113.0ms (2.5%)

rewrite105.0ms (2.3%)

eval48.0ms (1.1%)

prune10.0ms (0.2%)

simplify154.0ms (3.4%)

localize91.0ms (2%)

series3.0ms (0.1%)

simplify116.0ms (2.5%)

rewrite94.0ms (2.1%)

eval3.0ms (0.1%)

prune4.0ms (0.1%)

regimes114.0ms (2.5%)

regimes10.0ms (0.2%)

regimes17.0ms (0.4%)

regimes6.0ms (0.1%)

bsearch26.0ms (0.6%)

simplify162.0ms (3.5%)

derivations620.0ms (13.6%)

preprocess40.0ms (0.9%)

end0.0ms (0%)

Profiling