Metrics for Numeric.Log:$clog1p from log-domain-0.10.2.1, A

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB 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 13 to 10 computations (23.1% saved)

sample940.0ms (19.1%)

Memory

-199.1MiB live, 971.7MiB allocated

Samples

665.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 435.0ms

ival-add: 224.0ms (51.5% of total)

ival-mult: 199.0ms (45.8% of total)

ival-true: 5.0ms (1.2% of total)

exact: 4.0ms (0.9% of total)

ival-assert: 3.0ms (0.7% of total)

Bogosity

explain138.0ms (2.8%)

Memory

4.0MiB live, 158.0MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

74.0ms

512×

valid

Compiler

Compiled 105 to 36 computations (65.7% saved)

Precisions

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

ival-mult: 9.0ms (62.1% of total)

ival-add: 4.0ms (27.6% of total)

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

exact: 0.0ms (0% of total)

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

preprocess175.0ms (3.6%)

Memory

8.4MiB live, 91.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	51
1	82	49
2	273	46
3	562	45
4	1065	45
5	1419	45
6	1863	45
7	2407	45
8	3302	45
9	4160	45
10	4778	45
11	4920	45
12	4980	45
13	5010	45
14	5010	45
15	5250	45
16	5682	45
17	5682	45
18	5682	45
0	8	11
0	13	9
1	34	9
2	108	9
3	259	9
4	418	9
5	543	9
6	677	9
7	840	9
8	1390	9
9	1668	9
10	1942	9
11	2018	9
12	2112	9
13	2130	9
0	2130	8

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs y)

Compiler

Compiled 11 to 8 computations (27.3% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify40.0ms (0.8%)

Memory

8.4MiB live, 42.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	30
0	13	26
1	34	26
2	108	26
3	259	26
4	418	26
5	543	26
6	677	26
7	840	26
8	1390	26
9	1668	26
10	1942	26
11	2018	26
12	2112	26
13	2130	26
0	2130	25

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize23.0ms (0.5%)

Memory

16.7MiB live, 54.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 y y)
accuracy	0.0	(*.f64 x x)
accuracy	0.0	(*.f64 x #s(literal 2 binary64))
accuracy	0.0078125	(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))

Samples

16.0ms

256×

valid

Compiler

Compiled 62 to 18 computations (71% saved)

Precisions

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

ival-mult: 5.0ms (71% of total)

ival-add: 2.0ms (28.4% of total)

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

exact: 0.0ms (0% of total)

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

series8.0ms (0.2%)

Memory

-24.6MiB live, 11.6MiB allocated

Counts

5 → 12

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	((+ (* x 2) (* x x)) (+ (+ (* x 2) (* x x)) (* y y)) (* x 2) (* x x) (* y y))
1.0ms	x	@	inf	((+ (* x 2) (* x x)) (+ (+ (* x 2) (* x x)) (* y y)) (* x 2) (* x x) (* y y))
1.0ms	x	@	-inf	((+ (* x 2) (* x x)) (+ (+ (* x 2) (* x x)) (* y y)) (* x 2) (* x x) (* y y))
1.0ms	y	@	inf	((+ (* x 2) (* x x)) (+ (+ (* x 2) (* x x)) (* y y)) (* x 2) (* x x) (* y y))
0.0ms	y	@	-inf	((+ (* x 2) (* x x)) (+ (+ (* x 2) (* x x)) (* y y)) (* x 2) (* x x) (* y y))

simplify129.0ms (2.6%)

Memory

-7.5MiB live, 207.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	104
1	109	98
2	389	94
3	2091	88
0	8681	84

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 12

Calls

Call 1

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

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

rewrite254.0ms (5.2%)

Memory

-2.3MiB live, 160.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	27
0	13	23
1	61	23
2	554	23
0	9427	22

Stop Event

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

Counts

5 → 373

Calls

Call 1

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

Outputs
(.f64 (/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (.f64 (.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64))) #s(literal 2 binary64))) (.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64))))
(.f64 (/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))) (fma.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x #s(literal 2 binary64))) (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (*.f64 x x))))))
(.f64 (/.f64 (pow.f64 (.f64 (-.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (.f64 (-.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)))) (fma.f64 #s(literal -2 binary64) x (.f64 x x)))
(.f64 (/.f64 (pow.f64 (.f64 (-.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (.f64 (.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))))
(.f64 (/.f64 (pow.f64 (.f64 (-.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) (pow.f64 (.f64 (-.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64))) (.f64 (-.f64 #s(literal 2 binary64) x) x))
(.f64 (/.f64 (pow.f64 (.f64 (-.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (.f64 (.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64))))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 2 binary64) x) x) (+.f64 #s(literal 2 binary64) x)) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) x))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 2 binary64) x) x) x) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) (-.f64 #s(literal 2 binary64) x)))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 2 binary64) x) x) x) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) (+.f64 #s(literal 2 binary64) x)))
(*.f64 (-.f64 #s(literal 2 binary64) x) x)
(*.f64 (+.f64 #s(literal 2 binary64) x) x)
(.f64 (.f64 (.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64))) (/.f64 (.f64 (-.f64 #s(literal 2 binary64) x) x) (.f64 (.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))))
(*.f64 (neg.f64 x) (-.f64 (neg.f64 x) #s(literal 2 binary64)))
(.f64 (.f64 (-.f64 #s(literal 2 binary64) x) x) (/.f64 (.f64 (-.f64 #s(literal 2 binary64) x) x) (.f64 (-.f64 #s(literal 2 binary64) x) x)))
(*.f64 x (-.f64 x #s(literal -2 binary64)))
(*.f64 x (+.f64 #s(literal 2 binary64) (neg.f64 x)))
(*.f64 x (-.f64 x #s(literal 2 binary64)))
(*.f64 x (-.f64 #s(literal 2 binary64) x))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(/.f64 (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) x)) x)
(/.f64 (.f64 (-.f64 #s(literal 4 binary64) (.f64 x x)) x) (-.f64 #s(literal 2 binary64) x))
(/.f64 (*.f64 (+.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))
(/.f64 (.f64 x (-.f64 #s(literal 4 binary64) (.f64 x x))) (-.f64 #s(literal 2 binary64) x))
(/.f64 (*.f64 x (+.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (/.f64 (.f64 #s(literal 4 binary64) x) x) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (.f64 (/.f64 (.f64 #s(literal 4 binary64) x) x) (/.f64 x (-.f64 #s(literal 2 binary64) x)))) (.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) x) (-.f64 #s(literal 2 binary64) x)) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) x) (-.f64 #s(literal 2 binary64) x)))) (*.f64 (-.f64 #s(literal 2 binary64) x) x))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (.f64 (.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))) (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (.f64 (.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64))))) (.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))))) (*.f64 (-.f64 #s(literal 2 binary64) x) x))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 (.f64 #s(literal 4 binary64) x) x) (/.f64 x (-.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) x) (-.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64))) (fma.f64 (.f64 (/.f64 (.f64 #s(literal 4 binary64) x) x) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (.f64 (/.f64 (.f64 #s(literal 4 binary64) x) x) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (fma.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) x) (-.f64 #s(literal 2 binary64) x)) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) x) (-.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) x) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) x) (-.f64 #s(literal 2 binary64) x))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))) (.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (.f64 (.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (.f64 (.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))) (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (.f64 (.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))) (-.f64 (.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64))))) (.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (.f64 (.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64))))))))
(/.f64 (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) x) (-.f64 #s(literal 2 binary64) x))
(/.f64 (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) x) (+.f64 #s(literal 2 binary64) x))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (neg.f64 (.f64 (.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 (-.f64 #s(literal 2 binary64) x) x)) (.f64 (.f64 (-.f64 #s(literal 2 binary64) x) x) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (.f64 (.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64))) (.f64 (.f64 (.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64))) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 (.f64 (.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64))) #s(literal 2 binary64)))
(/.f64 (+.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 9 binary64))) (.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 12 binary64)) (.f64 #s(literal 8 binary64) (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))))) (.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))))
(/.f64 (neg.f64 (pow.f64 (.f64 (-.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) x (.f64 x x)))
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (.f64 (.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))))
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(+.f64 (/.f64 (pow.f64 (.f64 (-.f64 #s(literal 2 binary64) x) x) #s(literal 3 binary64)) (fma.f64 (.f64 (-.f64 #s(literal 2 binary64) x) x) (fma.f64 (-.f64 #s(literal 2 binary64) x) x (.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (.f64 (-.f64 #s(literal 2 binary64) x) x) (fma.f64 (-.f64 #s(literal 2 binary64) x) x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (.f64 (.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))) (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))) (.f64 (neg.f64 y) y)))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (.f64 (.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))) (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))) (.f64 y y)))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (.f64 (.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))) (+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))) (.f64 y y)))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (.f64 (.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))) (+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))) (.f64 (neg.f64 y) y)))
(+.f64 (/.f64 (pow.f64 (.f64 (-.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) (fma.f64 (-.f64 #s(literal 2 binary64) x) x (.f64 y y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (-.f64 #s(literal 2 binary64) x) x (*.f64 y y))))
(+.f64 (fma.f64 y y (.f64 x x)) (.f64 #s(literal 2 binary64) x))
(+.f64 (.f64 (neg.f64 y) y) (.f64 (-.f64 #s(literal 2 binary64) x) x))
(+.f64 (.f64 y y) (.f64 (-.f64 #s(literal 2 binary64) x) x))
(+.f64 (.f64 (-.f64 #s(literal 2 binary64) x) x) (.f64 (neg.f64 y) y))
(+.f64 (.f64 (-.f64 #s(literal 2 binary64) x) x) (.f64 y y))
(+.f64 (.f64 x x) (fma.f64 #s(literal 2 binary64) x (.f64 (neg.f64 y) y)))
(+.f64 (.f64 x x) (fma.f64 y y (.f64 #s(literal 2 binary64) x)))
(+.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 (neg.f64 x) x (.f64 y y)))
(+.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 y y (.f64 x x)))
(+.f64 x (-.f64 x (fma.f64 y y (*.f64 x x))))
(+.f64 x (-.f64 x (fma.f64 (neg.f64 x) x (*.f64 y y))))
(+.f64 x (+.f64 x (fma.f64 y y (*.f64 x x))))
(+.f64 x (+.f64 x (fma.f64 (neg.f64 x) x (*.f64 y y))))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 x x) (.f64 x x)) (-.f64 x x))
(/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 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)
(sqrt.f64 (.f64 #s(literal 4 binary64) (.f64 x x)))
(fabs.f64 (*.f64 #s(literal -2 binary64) x))
(fabs.f64 (*.f64 #s(literal 2 binary64) x))
(+.f64 x x)
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)))
(*.f64 (neg.f64 y) (neg.f64 y))
(*.f64 y y)
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64))
(pow.f64 (neg.f64 y) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 y) y))
(sqrt.f64 (pow.f64 y #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 y) y))
(fabs.f64 (*.f64 y y))
(exp.f64 (*.f64 (log.f64 (neg.f64 y)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 y) #s(literal 2 binary64))))

eval43.0ms (0.9%)

Memory: 11.8MiB live, 84.0MiB allocated
Compiler: Compiled 10 092 to 955 computations (90.5% saved)

prune7.0ms (0.1%)

Memory

-11.5MiB live, 25.2MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	378	4	382
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	379	4	383

Accuracy

100.0%

Counts

383 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (+.f64 #s(literal 2 binary64) x) x (*.f64 y y))
▶	66.4%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 #s(literal 2 binary64) x (*.f64 y y)))
▶	57.2%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) x) x))
▶	51.8%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))

Compiler

Compiled 58 to 40 computations (31% saved)

simplify62.0ms (1.3%)

Memory

-8.8MiB live, 41.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	93
0	22	84
1	50	84
2	139	84
3	321	84
4	491	84
5	622	84
6	790	84
7	1284	84
8	1564	84
9	1838	84
10	1920	84
11	2014	84
12	2031	84
0	2031	84

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize45.0ms (0.9%)

Memory

10.6MiB live, 49.7MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 (+.f64 #s(literal 2 binary64) x) x (*.f64 y y))
accuracy	0.0	(+.f64 #s(literal 2 binary64) x)
accuracy	0.0	(*.f64 y y)
accuracy	0.0	(fma.f64 #s(literal 2 binary64) x (*.f64 y y))
accuracy	0.0	(*.f64 y y)
accuracy	21.496927967166727	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 #s(literal 2 binary64) x (*.f64 y y)))
accuracy	0.0	(+.f64 #s(literal 2 binary64) x)
accuracy	0.0	(*.f64 (+.f64 #s(literal 2 binary64) x) x)
accuracy	27.367320794712427	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) x) x))
accuracy	0.0	(*.f64 y y)
accuracy	30.853904609148127	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))

Samples

35.0ms

256×

valid

Compiler

Compiled 173 to 32 computations (81.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-mult: 19.0ms (76.8% of total)

ival-add: 5.0ms (20.2% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

10.1MiB live, 10.1MiB allocated

Counts

8 → 20

Calls

Call 1

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

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

Calls

6 calls:

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

simplify216.0ms (4.4%)

Memory

4.2MiB live, 192.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	164
1	153	152
2	528	148
3	2901	146
0	8586	137

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 19

Calls

Call 1

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

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

rewrite399.0ms (8.1%)

Memory

11.6MiB live, 139.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	75
0	22	66
1	118	66
2	808	66
0	8636	66

Stop Event

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

Counts

8 → 331

Calls

Call 1

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

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

eval217.0ms (4.4%)

Memory: -22.4MiB live, 98.3MiB allocated
Compiler: Compiled 12 201 to 1 227 computations (89.9% saved)

prune20.0ms (0.4%)

Memory

-11.0MiB live, 24.7MiB allocated

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	407	3	410
Fresh	0	0	0
Picked	1	3	4
Done	0	0	0
Total	408	6	414

Accuracy

100.0%

Counts

414 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (+.f64 #s(literal 2 binary64) x) x (*.f64 y y))
▶	66.4%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 y y x) x))
✓	57.2%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) x) x))
▶	17.3%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x))
✓	51.8%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
▶	42.5%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x))

Compiler

Compiled 92 to 62 computations (32.6% saved)

simplify41.0ms (0.8%)

Memory

15.3MiB live, 53.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	82
0	21	76
1	47	76
2	124	76
3	285	76
4	449	76
5	580	76
6	729	76
7	909	76
8	1483	76
9	1789	76
10	2069	76
11	2147	76
12	2241	76
13	2264	76
0	2264	73

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize57.0ms (1.2%)

Memory

1.7MiB live, 40.5MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 y y x)
accuracy	0.00390625	(+.f64 (fma.f64 y y x) x)
accuracy	21.496927967166727	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 y y x) x))
accuracy	0.0	(*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x)
accuracy	27.367320794712427	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x))
accuracy	33.618987110608394	#s(approx (+ 2 x) #s(literal 2 binary64))
accuracy	0.0	(*.f64 x x)
accuracy	36.771734637511294	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x))

Samples

47.0ms

256×

valid

Compiler

Compiled 145 to 32 computations (77.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-mult: 6.0ms (52.4% of total)

ival-add: 5.0ms (43.6% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

4.1MiB live, 4.1MiB allocated

Counts

8 → 23

Calls

Call 1

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

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

Calls

6 calls:

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

simplify247.0ms (5%)

Memory

-18.8MiB live, 99.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	175
1	165	169
2	550	165
3	2826	161
0	8399	152

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 22

Calls

Call 1

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

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

rewrite221.0ms (4.5%)

Memory

31.8MiB live, 146.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	77
0	21	71
1	105	71
2	907	71
0	8898	68

Stop Event

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

Counts

8 → 154

Calls

Call 1

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

Outputs
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x))
(*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x))))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) x)
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x (neg.f64 (neg.f64 x)))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x))
(*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x)
(*.f64 x #s(approx (+ 2 x) #s(literal 2 binary64)))
#s(approx (+ 2 x) #s(literal 2 binary64))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 y y (*.f64 #s(literal 2 binary64) x)))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)) (fma.f64 y y (.f64 #s(literal 2 binary64) x))) (/.f64 (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)) (fma.f64 y y (.f64 #s(literal 2 binary64) x)))) (.f64 (/.f64 (.f64 x x) (fma.f64 y y (.f64 #s(literal 2 binary64) x))) (/.f64 (.f64 x x) (fma.f64 y y (.f64 #s(literal 2 binary64) x))))) (fma.f64 y y (*.f64 #s(literal 2 binary64) x)))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (-.f64 x x) (-.f64 x x))) (-.f64 (.f64 y y) (-.f64 x x)))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (-.f64 (.f64 y y) x) #s(literal 2 binary64))) (-.f64 x (-.f64 (*.f64 y y) x)))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (fma.f64 y y x) #s(literal 3 binary64)) (fma.f64 x (fma.f64 y y (.f64 #s(literal 2 binary64) x)) (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (fma.f64 y y x) #s(literal 3 binary64)) (fma.f64 x (fma.f64 y y (.f64 #s(literal 2 binary64) x)) (pow.f64 (fma.f64 y y x) #s(literal 2 binary64))))) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (fma.f64 y y (.f64 #s(literal 2 binary64) x)) (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (fma.f64 y y (.f64 #s(literal 2 binary64) x)) (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)))))) (fma.f64 y y (*.f64 #s(literal 2 binary64) x)))
(/.f64 (-.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 2 binary64) x (*.f64 (neg.f64 y) y)))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 #s(literal 4 binary64) (.f64 x x) (+.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (.f64 #s(literal 2 binary64) x) (*.f64 (neg.f64 y) y)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)) (fma.f64 y y (.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x x) (fma.f64 y y (.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)) (fma.f64 y y (.f64 #s(literal 2 binary64) x))) (/.f64 (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)) (fma.f64 y y (.f64 #s(literal 2 binary64) x))) (fma.f64 (/.f64 (.f64 x x) (fma.f64 y y (.f64 #s(literal 2 binary64) x))) (/.f64 (.f64 x x) (fma.f64 y y (.f64 #s(literal 2 binary64) x))) (.f64 (/.f64 (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)) (fma.f64 y y (.f64 #s(literal 2 binary64) x))) (/.f64 (.f64 x x) (fma.f64 y y (*.f64 #s(literal 2 binary64) x)))))))
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (-.f64 x x) #s(literal 3 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (.f64 (-.f64 x x) (-.f64 x x)) (.f64 (*.f64 y y) (-.f64 x x)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 (.f64 y y) x) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (-.f64 (.f64 y y) x) #s(literal 2 binary64)) (.f64 x (-.f64 (.f64 y y) x)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 y y x) #s(literal 3 binary64)) (fma.f64 x (fma.f64 y y (.f64 #s(literal 2 binary64) x)) (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (fma.f64 y y (.f64 #s(literal 2 binary64) x)) (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (fma.f64 y y x) #s(literal 3 binary64)) (fma.f64 x (fma.f64 y y (.f64 #s(literal 2 binary64) x)) (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (fma.f64 y y x) #s(literal 3 binary64)) (fma.f64 x (fma.f64 y y (.f64 #s(literal 2 binary64) x)) (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)))) (-.f64 (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (fma.f64 y y (.f64 #s(literal 2 binary64) x)) (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (fma.f64 y y (.f64 #s(literal 2 binary64) x)) (pow.f64 (fma.f64 y y x) #s(literal 2 binary64))))) (.f64 (/.f64 (pow.f64 (fma.f64 y y x) #s(literal 3 binary64)) (fma.f64 x (fma.f64 y y (.f64 #s(literal 2 binary64) x)) (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (fma.f64 y y (.f64 #s(literal 2 binary64) x)) (pow.f64 (fma.f64 y y x) #s(literal 2 binary64))))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 #s(literal 4 binary64) (.f64 x x) (-.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (.f64 #s(literal 2 binary64) x) (.f64 y y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (.f64 x x)))) (neg.f64 (fma.f64 y y (*.f64 #s(literal -2 binary64) x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 (.f64 y y) (.f64 #s(literal 2 binary64) x))))))
(/.f64 (-.f64 (.f64 (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)) (fma.f64 y y (.f64 #s(literal 2 binary64) x))) (.f64 (fma.f64 y y (.f64 #s(literal 2 binary64) x)) (*.f64 x x))) (fma.f64 x x (pow.f64 (fma.f64 y y x) #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 y y x) #s(literal 3 binary64)) (fma.f64 x (fma.f64 y y (.f64 #s(literal 2 binary64) x)) (pow.f64 (fma.f64 y y x) #s(literal 2 binary64))) (.f64 (fma.f64 x (fma.f64 y y (.f64 #s(literal 2 binary64) x)) (pow.f64 (fma.f64 y y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))) (.f64 (fma.f64 x (fma.f64 y y (.f64 #s(literal 2 binary64) x)) (pow.f64 (fma.f64 y y x) #s(literal 2 binary64))) (fma.f64 x (fma.f64 y y (.f64 #s(literal 2 binary64) x)) (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)))))
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eval53.0ms (1.1%)

Memory: 5.5MiB live, 42.9MiB allocated
Compiler: Compiled 5 137 to 591 computations (88.5% saved)

prune8.0ms (0.2%)

Memory

-20.1MiB live, 18.5MiB allocated

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	169	0	169
Fresh	0	0	0
Picked	0	3	3
Done	0	3	3
Total	169	6	175

Accuracy

100.0%

Counts

175 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (+.f64 #s(literal 2 binary64) x) x (*.f64 y y))
✓	66.4%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 y y x) x))
✓	57.2%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) x) x))
✓	17.3%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x))
✓	51.8%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
✓	42.5%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x))

Compiler

Compiled 213 to 91 computations (57.3% saved)

regimes44.0ms (0.9%)

Memory

-28.2MiB live, 43.8MiB allocated

Counts

8 → 1

Calls

Call 1

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

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

Calls

5 calls:

32.0ms	y
3.0ms	x
3.0ms	(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))
3.0ms	(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))
3.0ms	(*.f64 y y)

Results

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

Compiler

Compiled 23 to 21 computations (8.7% saved)

regimes12.0ms (0.3%)

Memory

16.4MiB live, 16.4MiB allocated

Counts

6 → 3

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
90.4%	3	`x`
86.4%	2	`y`
66.4%	1	`(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))`
88.8%	2	`(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))`
86.4%	2	`(*.f64 y y)`

Compiler

Compiled 23 to 21 computations (8.7% saved)

regimes8.0ms (0.2%)

Memory

11.4MiB live, 11.4MiB allocated

Counts

4 → 2

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
86.4%	2	`y`
86.4%	2	`(*.f64 y y)`
74.6%	2	`(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))`
76.2%	3	`x`

Compiler

Compiled 12 to 13 computations (-8.3% saved)

regimes12.0ms (0.2%)

Memory

-24.2MiB live, 15.4MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs

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

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

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

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

Calls

3 calls:

8.0ms	(*.f64 y y)
2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
76.2%	3	`x`
71.6%	2	`y`
71.6%	2	`(*.f64 y y)`

Compiler

Compiled 5 to 7 computations (-40% saved)

regimes6.0ms (0.1%)

Memory

15.0MiB live, 15.0MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
42.5%	1	`(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))`
42.5%	1	`y`
42.5%	1	`(*.f64 y y)`
42.5%	1	`(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))`
42.5%	1	`x`

Compiler

Compiled 23 to 21 computations (8.7% saved)

bsearch31.0ms (0.6%)

Memory

-8.3MiB live, 70.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	1.4516180319771797e+36	4.977210043938634e+41
14.0ms	-1.9231565131058508e+93	-2.288355620941168e+74

Samples

15.0ms

304×

valid

Compiler

Compiled 641 to 450 computations (29.8% saved)

Precisions

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

ival-mult: 5.0ms (61.5% of total)

ival-add: 3.0ms (36.9% of total)

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

exact: 0.0ms (0% of total)

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

bsearch78.0ms (1.6%)

Memory

-17.7MiB live, 23.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
77.0ms	43658031551.118484	15820604890812.492

Samples

5.0ms

128×

valid

Compiler

Compiled 254 to 197 computations (22.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-mult: 2.0ms (71.3% of total)

ival-add: 1.0ms (35.7% of total)

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

exact: 0.0ms (0% of total)

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

bsearch12.0ms (0.2%)

Memory

19.1MiB live, 19.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	5.718516010615613e+21	3.0144779694906454e+23
1.0ms	-1.9231565131058508e+93	-2.288355620941168e+74

Samples

5.0ms

112×

valid

Compiler

Compiled 524 to 387 computations (26.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-mult: 2.0ms (67.5% of total)

ival-add: 1.0ms (33.8% of total)

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

exact: 0.0ms (0% of total)

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

simplify208.0ms (4.2%)

Memory

-12.7MiB live, 25.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	128
1	59	128
2	132	128
3	284	128
4	452	128
5	589	128
6	933	128
7	3525	128

Stop Event

1×	node limit

Calls

Call 1

Inputs
(fma.f64 (+.f64 #s(literal 2 binary64) x) x (*.f64 y y))
(if (<=.f64 x #s(literal -99999999999999998278261272554585856747747644714015897553975120217811154108416 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (.f64 x x)) (if (<=.f64 x #s(literal 379999999999999980111797770245780799488 binary64)) #s(approx (+ (+ ( x 2) (* x x)) (* y y)) (+.f64 (fma.f64 y y x) x)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x))))
(if (<=.f64 (.f64 y y) #s(literal 180000000000 binary64)) #s(approx (+ (+ ( x 2) (* x x)) (* y y)) (.f64 (+.f64 #s(literal 2 binary64) x) x)) #s(approx (+ (+ ( x 2) (* x x)) (* y y)) (*.f64 y y)))
(if (<=.f64 x #s(literal -99999999999999998278261272554585856747747644714015897553975120217811154108416 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (.f64 x x)) (if (<=.f64 x #s(literal 23000000000000002097152 binary64)) #s(approx (+ (+ ( x 2) (* x x)) (* y y)) (.f64 y y)) #s(approx (+ (+ ( x 2) (* x x)) (* y y)) (*.f64 x x))))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x))

Outputs
(fma.f64 (+.f64 #s(literal 2 binary64) x) x (*.f64 y y))
(if (<=.f64 x #s(literal -99999999999999998278261272554585856747747644714015897553975120217811154108416 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (.f64 x x)) (if (<=.f64 x #s(literal 379999999999999980111797770245780799488 binary64)) #s(approx (+ (+ ( x 2) (* x x)) (* y y)) (+.f64 (fma.f64 y y x) x)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x))))
(if (or (<=.f64 x #s(literal -99999999999999998278261272554585856747747644714015897553975120217811154108416 binary64)) (not (<=.f64 x #s(literal 379999999999999980111797770245780799488 binary64)))) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (.f64 x x)) #s(approx (+ (+ ( x 2) (* x x)) (* y y)) (+.f64 (fma.f64 y y x) x)))
(if (<=.f64 (.f64 y y) #s(literal 180000000000 binary64)) #s(approx (+ (+ ( x 2) (* x x)) (* y y)) (.f64 (+.f64 #s(literal 2 binary64) x) x)) #s(approx (+ (+ ( x 2) (* x x)) (* y y)) (*.f64 y y)))
(if (<=.f64 x #s(literal -99999999999999998278261272554585856747747644714015897553975120217811154108416 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (.f64 x x)) (if (<=.f64 x #s(literal 23000000000000002097152 binary64)) #s(approx (+ (+ ( x 2) (* x x)) (* y y)) (.f64 y y)) #s(approx (+ (+ ( x 2) (* x x)) (* y y)) (*.f64 x x))))
(if (or (<=.f64 x #s(literal -99999999999999998278261272554585856747747644714015897553975120217811154108416 binary64)) (not (<=.f64 x #s(literal 23000000000000002097152 binary64)))) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (.f64 x x)) #s(approx (+ (+ ( x 2) (* x x)) (* y y)) (*.f64 y y)))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x))

soundness1.1s (22.4%)

Memory

-0.5MiB live, 439.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	75
0	22	66
1	118	66
2	808	66
0	8636	66
0	46	164
1	153	152
2	528	148
3	2901	146
0	8586	137
0	8	27
0	13	23
1	61	23
2	554	23
0	9427	22
0	36	104
1	109	98
2	389	94
3	2091	88
0	8681	84

Stop Event

1×	done
1×	iter limit
1×	node 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 214 to 91 computations (57.5% saved)

preprocess45.0ms (0.9%)

Memory: 8.8MiB live, 43.9MiB allocated
Remove: (abs y)
Compiler: Compiled 344 to 114 computations (66.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample940.0ms (19.1%)

explain138.0ms (2.8%)

preprocess175.0ms (3.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify40.0ms (0.8%)

localize23.0ms (0.5%)

series8.0ms (0.2%)

simplify129.0ms (2.6%)

rewrite254.0ms (5.2%)

eval43.0ms (0.9%)

prune7.0ms (0.1%)

simplify62.0ms (1.3%)

localize45.0ms (0.9%)

series5.0ms (0.1%)

simplify216.0ms (4.4%)

rewrite399.0ms (8.1%)

eval217.0ms (4.4%)

prune20.0ms (0.4%)

simplify41.0ms (0.8%)

localize57.0ms (1.2%)

series4.0ms (0.1%)

simplify247.0ms (5%)

rewrite221.0ms (4.5%)

eval53.0ms (1.1%)

prune8.0ms (0.2%)

regimes44.0ms (0.9%)

regimes12.0ms (0.3%)

regimes8.0ms (0.2%)

regimes12.0ms (0.2%)

regimes6.0ms (0.1%)

bsearch31.0ms (0.6%)

bsearch78.0ms (1.6%)

bsearch12.0ms (0.2%)

simplify208.0ms (4.2%)

soundness1.1s (22.4%)

preprocess45.0ms (0.9%)

end0.0ms (0%)

Profiling