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

start0.0ms (0%)

Memory: 0.1MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 11 to 9 computations (18.2% saved)

sample979.0ms (19.1%)

Memory

1.5MiB live, 1 191.2MiB allocated

Samples

675.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 381.0ms

ival-mult: 319.0ms (83.8% of total)

ival-add: 47.0ms (12.3% of total)

ival-true: 6.0ms (1.6% of total)

exact: 5.0ms (1.3% of total)

ival-assert: 4.0ms (1.1% of total)

Bogosity

explain151.0ms (2.9%)

Memory

-16.4MiB live, 123.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
10	-	-	`(+.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	10	0
↳	`(*.f64 x x)`	overflow	60
↳	`(*.f64 x y)`	overflow	35

Confusion

	Predicted +	Predicted -
+	10	0
-	0	246

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	10	0	0
-	0	0	246

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	246
1	10

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

103.0ms

512×

valid

Compiler

Compiled 63 to 25 computations (60.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-mult: 19.0ms (86% of total)

ival-add: 2.0ms (9% of total)

ival-true: 1.0ms (4.5% of total)

exact: 0.0ms (0% of total)

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

preprocess260.0ms (5.1%)

Memory

32.3MiB live, 161.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.1%	(.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (*.f64 x y)))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify189.0ms (3.7%)

Memory

-8.5MiB live, 99.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

localize22.0ms (0.4%)

Memory

-0.5MiB live, 43.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x y)
accuracy	0.0	(*.f64 x x)
accuracy	0.00390625	(.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (*.f64 x y)))
accuracy	2.2031167433208236	(+.f64 (.f64 x x) (.f64 x y))

Samples

17.0ms

256×

valid

Compiler

Compiled 27 to 9 computations (66.7% saved)

Precisions

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

ival-mult: 5.0ms (77.1% of total)

ival-add: 1.0ms (15.4% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

12.8MiB live, 12.8MiB allocated

Counts

4 → 14

Calls

Call 1

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

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

Calls

6 calls:

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

simplify175.0ms (3.4%)

Memory

-15.5MiB live, 129.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	76
1	153	76
2	509	76
3	1666	76
4	5046	76
5	7786	76
0	8075	76

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 14

Calls

Call 1

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

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

rewrite284.0ms (5.5%)

Memory

9.6MiB live, 344.6MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

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

Counts

4 → 154

Calls

Call 1

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

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

eval40.0ms (0.8%)

Memory: -36.1MiB live, 68.3MiB allocated
Compiler: Compiled 3 112 to 509 computations (83.6% saved)

prune4.0ms (0.1%)

Memory

24.4MiB live, 24.4MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	155	5	160
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	156	5	161

Accuracy

100.0%

Counts

161 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.4%	(.f64 #s(literal 2 binary64) (fma.f64 y x (.f64 x x)))
▶	100.0%	(.f64 #s(literal 2 binary64) (.f64 (+.f64 y x) x))
▶	57.8%	(.f64 #s(literal 2 binary64) #s(approx (+ ( x x) (* x y)) (*.f64 y x)))
▶	58.5%	#s(approx (* 2 (+ (* x x) (* x y))) (.f64 (.f64 x x) #s(literal 2 binary64)))
▶	11.1%	#s(literal 0 binary64)

Compiler

Compiled 88 to 70 computations (20.5% saved)

simplify153.0ms (3%)

Memory

-4.7MiB live, 85.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 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 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	68	86
2	172	86
3	483	86
4	1047	86
5	1895	86
6	3597	86
7	5153	86
8	5805	86
9	5953	86
10	6131	86
11	6136	86
12	6136	86
13	6508	86
14	6868	86
15	7118	86
16	7118	86
0	7118	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 y x (.f64 x x)))
#s(literal 2 binary64)
(fma.f64 y x (*.f64 x x))
y
x
(*.f64 x x)

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

localize80.0ms (1.6%)

Memory

15.4MiB live, 70.5MiB allocated

Localize:

Found 12 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	0.9999889904222409	(fma.f64 y x (*.f64 x x))
accuracy	0.0	(*.f64 y x)
accuracy	0.00390625	(.f64 #s(literal 2 binary64) #s(approx (+ ( x x) (* x y)) (*.f64 y x)))
accuracy	27.002828047163625	#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	26.55278212564513	#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	0.015625	(*.f64 (+.f64 y x) x)

Samples

71.0ms

256×

valid

Compiler

Compiled 84 to 17 computations (79.8% saved)

Precisions

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

ival-mult: 12.0ms (74.7% of total)

ival-add: 4.0ms (24.9% of total)

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

exact: 0.0ms (0% of total)

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

series21.0ms (0.4%)

Memory

-33.9MiB live, 13.3MiB allocated

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 y x (*.f64 x x))
(.f64 #s(literal 2 binary64) (fma.f64 y x (.f64 x 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
16.0ms	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) (+ (* y x) (* x x)) (* 2 (+ (* y x) (* x 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) (+ (* y x) (* x x)) (* 2 (+ (* y x) (* x 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) (+ (* y x) (* x x)) (* 2 (+ (* y x) (* x 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) (+ (* y x) (* x x)) (* 2 (+ (* y x) (* x 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) (+ (* y x) (* x x)) (* 2 (+ (* y x) (* x x))))

simplify121.0ms (2.3%)

Memory

27.2MiB live, 162.7MiB allocated

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)

rewrite230.0ms (4.5%)

Memory

5.0MiB live, 193.6MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	79
0	27	67
1	106	67
2	743	43
0	10337	43

Stop Event

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

Counts

11 → 337

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

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

eval32.0ms (0.6%)

Memory: -8.2MiB live, 79.8MiB allocated
Compiler: Compiled 4 720 to 706 computations (85% saved)

prune5.0ms (0.1%)

Memory

14.8MiB live, 14.8MiB allocated

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	224	1	225
Fresh	0	0	0
Picked	1	4	5
Done	0	0	0
Total	225	5	230

Accuracy

100.0%

Counts

230 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.4%	(.f64 #s(literal 2 binary64) (fma.f64 y x (.f64 x x)))
✓	100.0%	(.f64 #s(literal 2 binary64) (.f64 (+.f64 y x) x))
✓	57.8%	(.f64 #s(literal 2 binary64) #s(approx (+ ( x x) (* x y)) (*.f64 y x)))
▶	58.5%	#s(approx (* 2 (+ (* x x) (* x y))) (.f64 (.f64 x #s(literal 2 binary64)) x))
✓	11.1%	#s(literal 0 binary64)

Compiler

Compiled 44 to 35 computations (20.5% saved)

simplify167.0ms (3.2%)

Memory

-15.0MiB live, 87.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	25
0	12	23
1	35	23
2	118	23
3	385	23
4	860	23
5	1768	23
6	3562	23
7	5139	23
8	5791	23
9	5939	23
10	6117	23
11	6122	23
12	6122	23
13	6494	23
14	6854	23
15	7104	23
16	7104	23
0	7104	23

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)

Outputs
#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)

localize25.0ms (0.5%)

Memory

4.5MiB live, 48.0MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(.f64 (.f64 x #s(literal 2 binary64)) x)
accuracy	0.0	(*.f64 x #s(literal 2 binary64))
accuracy	26.55278212564513	#s(approx (* 2 (+ (* x x) (* x y))) (.f64 (.f64 x #s(literal 2 binary64)) x))

Samples

20.0ms

256×

valid

Compiler

Compiled 21 to 11 computations (47.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-mult: 12.0ms (87.1% of total)

ival-add: 1.0ms (7.3% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

10.7MiB live, 10.7MiB allocated

Counts

3 → 8

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))

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 2) x) (* x 2))
1.0ms	x	@	inf	((* 2 (+ (* x x) (* x y))) (* (* x 2) x) (* x 2))
1.0ms	x	@	0	((* 2 (+ (* x x) (* x y))) (* (* x 2) x) (* x 2))
0.0ms	y	@	-inf	((* 2 (+ (* x x) (* x y))) (* (* x 2) x) (* x 2))
0.0ms	y	@	0	((* 2 (+ (* x x) (* x y))) (* (* x 2) x) (* x 2))

simplify97.0ms (1.9%)

Memory

8.2MiB live, 98.0MiB allocated

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))

rewrite130.0ms (2.5%)

Memory

5.4MiB live, 196.2MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	23
0	12	21
1	49	21
2	393	15
3	5708	15
0	8137	15

Stop Event

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

Counts

3 → 27

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))

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

eval37.0ms (0.7%)

Memory: -40.0MiB live, 12.6MiB allocated
Compiler: Compiled 573 to 109 computations (81% saved)

prune18.0ms (0.4%)

Memory

47.2MiB live, 47.2MiB allocated

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	30	1	31
Fresh	0	0	0
Picked	1	0	1
Done	0	4	4
Total	31	5	36

Accuracy

100.0%

Counts

36 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.4%	(.f64 #s(literal 2 binary64) (fma.f64 y x (.f64 x x)))
✓	100.0%	(.f64 #s(literal 2 binary64) (.f64 (+.f64 y x) x))
✓	57.8%	(.f64 #s(literal 2 binary64) #s(approx (+ ( x x) (* x y)) (*.f64 y x)))
▶	58.5%	#s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (+.f64 x x) x))
✓	11.1%	#s(literal 0 binary64)

Compiler

Compiled 44 to 34 computations (22.7% saved)

simplify193.0ms (3.8%)

Memory

4.5MiB live, 141.3MiB allocated

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

localize44.0ms (0.9%)

Memory

-46.7MiB live, 63.4MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 x x)
accuracy	0.0	(*.f64 (+.f64 x x) x)
accuracy	26.55278212564513	#s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (+.f64 x x) x))

Samples

39.0ms

256×

valid

Compiler

Compiled 20 to 11 computations (45% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-mult: 26.0ms (90.4% of total)

ival-add: 2.0ms (7% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

9.1MiB live, 9.1MiB allocated

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))

simplify130.0ms (2.5%)

Memory

-4.4MiB live, 140.0MiB allocated

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))

rewrite100.0ms (1.9%)

Memory

-9.3MiB live, 31.8MiB allocated

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)

eval6.0ms (0.1%)

Memory: 16.0MiB live, 16.0MiB allocated
Compiler: Compiled 563 to 100 computations (82.2% saved)

prune4.0ms (0.1%)

Memory

10.4MiB live, 10.5MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	31	1	32
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	31	6	37

Accuracy

100.0%

Counts

37 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.4%	(.f64 #s(literal 2 binary64) (fma.f64 y x (.f64 x x)))
✓	100.0%	(.f64 #s(literal 2 binary64) (.f64 (+.f64 y x) x))
✓	57.8%	(.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))
✓	58.5%	#s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (+.f64 x x) x))
✓	11.1%	#s(literal 0 binary64)

Compiler

Compiled 153 to 73 computations (52.3% saved)

regimes120.0ms (2.3%)

Memory

-12.9MiB live, 31.6MiB allocated

Counts

9 → 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 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:

110.0ms	(.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (*.f64 x y)))
3.0ms	x
3.0ms	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

20.9MiB live, 21.0MiB allocated

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:

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

Results

Accuracy	Segments	Branch
77.4%	2	`(+.f64 (.f64 x x) (.f64 x y))`
77.4%	2	`(.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (*.f64 x y)))`
80.7%	3	`x`
86.1%	3	`y`

Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes13.0ms (0.2%)

Memory

-15.6MiB live, 27.4MiB allocated

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:

6.0ms	(.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (*.f64 x y)))
2.0ms	y
2.0ms	(+.f64 (.f64 x x) (.f64 x y))
2.0ms	x

Results

Accuracy	Segments	Branch
58.5%	1	`(+.f64 (.f64 x x) (.f64 x y))`
58.5%	1	`(.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (*.f64 x y)))`
58.5%	1	`x`
58.5%	1	`y`

Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes6.0ms (0.1%)

Memory

16.1MiB live, 16.1MiB allocated

Accuracy

Total -5.4b remaining (-9.5%)

Threshold costs -5.4b (-9.5%)

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

Results

Accuracy	Segments	Branch
11.1%	1	`y`
11.1%	1	`x`
11.1%	1	`(+.f64 (.f64 x x) (.f64 x y))`
11.1%	1	`(.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (*.f64 x y)))`

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch140.0ms (2.7%)

Memory

-17.7MiB live, 41.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	0.0822484073645374	11.874638991190182
128.0ms	-1.3709382176407573e-19	-1.0994331384898094e-26

Samples

127.0ms

256×

valid

Compiler

Compiled 460 to 348 computations (24.3% saved)

Precisions

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

ival-mult: 5.0ms (76% of total)

ival-add: 1.0ms (15.2% of total)

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

exact: 0.0ms (0% of total)

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

simplify57.0ms (1.1%)

Memory

3.1MiB live, 46.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Calls

Call 1

Inputs
(.f64 #s(literal 2 binary64) (.f64 (+.f64 y x) x))
(if (<=.f64 y #s(literal -6210153196307127/42535295865117307932921825928971026432 binary64)) (.f64 #s(literal 2 binary64) #s(approx (+ ( x x) (* x y)) (.f64 y x))) (if (<=.f64 y #s(literal 7/2 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 -6210153196307127/42535295865117307932921825928971026432 binary64)) (.f64 #s(literal 2 binary64) #s(approx (+ ( x x) (* x y)) (.f64 y x))) (if (<=.f64 y #s(literal 7/2 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 -6210153196307127/42535295865117307932921825928971026432 binary64)) (not (<=.f64 y #s(literal 7/2 binary64)))) (.f64 #s(literal 2 binary64) #s(approx (+ ( x x) (* x y)) (.f64 y x))) #s(approx ( 2 (+ (* x x) (* x y))) (*.f64 (+.f64 x x) x)))
#s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (+.f64 x x) x))
#s(literal 0 binary64)

soundness983.0ms (19.1%)

Memory

-4.4MiB live, 665.4MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	40	76
1	153	76
2	509	76
3	1666	76
4	5046	76
5	7786	76
0	8075	76
0	10	23
0	12	21
1	49	21
2	393	15
3	5708	15
0	8137	15
0	18	79
0	27	67
1	106	67
2	743	43
0	10337	43
0	7	22
0	11	18
1	45	18
2	387	12
3	5731	12
0	8167	12

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×	iter limit
1×	node limit

Compiler

Compiled 151 to 94 computations (37.7% saved)

preprocess97.0ms (1.9%)

Memory: 18.1MiB live, 108.9MiB allocated
Compiler: Compiled 152 to 76 computations (50% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample979.0ms (19.1%)

explain151.0ms (2.9%)

preprocess260.0ms (5.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify189.0ms (3.7%)

localize22.0ms (0.4%)

series6.0ms (0.1%)

simplify175.0ms (3.4%)

rewrite284.0ms (5.5%)

eval40.0ms (0.8%)

prune4.0ms (0.1%)

simplify153.0ms (3%)

localize80.0ms (1.6%)

series21.0ms (0.4%)

simplify121.0ms (2.3%)

rewrite230.0ms (4.5%)

eval32.0ms (0.6%)

prune5.0ms (0.1%)

simplify167.0ms (3.2%)

localize25.0ms (0.5%)

series3.0ms (0.1%)

simplify97.0ms (1.9%)

rewrite130.0ms (2.5%)

eval37.0ms (0.7%)

prune18.0ms (0.4%)

simplify193.0ms (3.8%)

localize44.0ms (0.9%)

series3.0ms (0.1%)

simplify130.0ms (2.5%)

rewrite100.0ms (1.9%)

eval6.0ms (0.1%)

prune4.0ms (0.1%)

regimes120.0ms (2.3%)

regimes10.0ms (0.2%)

regimes13.0ms (0.2%)

regimes6.0ms (0.1%)

bsearch140.0ms (2.7%)

simplify57.0ms (1.1%)

soundness983.0ms (19.1%)

preprocess97.0ms (1.9%)

end0.0ms (0%)

Profiling